A sequence can be generated by using gn = 2(gn-1), where g1 = 1/3 and n is a whole number greater than 1.
What are the first 5 terms of the sequence?

Answers

Answer 1

The first 5 terms of the sequence are 1/3, 2/3, 4/3, 8/3 ans 16/3

What are the first 5 terms of the sequence?

From the question, we have the following parameters that can be used in our computation:

The sequence is generated by using gn = 2(gn-1)

Such that g1 = 1/3 and n is a whole number greater than 1.

Using the above as a guide, we have the following:

The sequence means that we multiply the current term by 2 to get the next term

So, we have the following representations

a(2) = 2 * 1/3 = 2/3

a(3) = 2 * 2/3 = 4/3

a(4) = 2 * 4/3 = 8/3

a(5) = 2 * 8/3 = 16/3

Hence, the first 5 terms of the sequence are 1/3, 2/3, 4/3, 8/3 ans 16/3

Read more about sequence at

https://brainly.com/question/30499691

#SPJ1


Related Questions

Identify an equation in standard form for ellipse with its center at the origin, a vertex at (3, 0), and a focus at (1, 0). HELP ASAP! This is due in 15 minutes!!

Answers

Answer:

Step-by-step explanation:

The standard form equation for an ellipse with center at the origin is:

x^2/a^2 + y^2/b^2 = 1

where 'a' is the distance from the center to the vertices along the x-axis and 'b' is the distance from the center to the vertices along the y-axis.

In this case, the center is at the origin, and a vertex is at (3, 0). So, we know that 'a' = 3.

We also know that the distance from the center to the focus is 'c', and that:

c^2 = a^2 - b^2

Since the center is at the origin, 'c' is the distance from the focus (1, 0) to the origin, which is 1. So, we can solve for 'b' as:

c^2 = a^2 - b^2

1^2 = 3^2 - b^2

b^2 = 3^2 - 1^2

b^2 = 8

b = sqrt(8) = 2sqrt(2)

Substituting these values into the standard form equation, we get:

x^2/3^2 + y^2/(2sqrt(2))^2 = 1

Simplifying:

x^2/9 + y^2/8 = 1

So, the equation in standard form for the given ellipse is:

9x^2 + 8y^2 = 72

M7|L5
Does this shape have at least 1 pair of parallel lines? 40
Has at least 1 pair of parallel lines
Does not have at least 1 pair of parallel
lines
More
Enter ✔

Answers

Answer:

Does this shape have at least 1 pair of parallel lines? 40

Has at least 1 pair of parallel lines

Does not have at least 1 pair of parallel

lines

More

You’re planning to buy a car and you want to have $25,000 to purchase a car in cash in 5 years. If you’re able to receive 10% interest rate for investing the money, how much money should you invest today in order to have $25,000 in 5 years?

Answers

You have to invest $15,506.08

How to solve for the investment

PV = FV / (1 + r)^n

where:

PV = present value (amount of money you need to invest today)

FV = future value (amount of money you want to have in 5 years, which is $25,000)

r = interest rate (10% or 0.1)

n = number of periods (5 years)

Plugging in the values into the formula:

PV = $25,000 / (1 + 0.1)^5

PV = $25,000 / 1.61051

PV = $15,506.08

Therefore, you need to invest approximately $15,506.08 today at a 10% interest rate in order to have $25,000 in 5 years to purchase a car in cash.

Read more on investments here:https://brainly.com/question/27717275

#SPJ1

$800000 into a 25:17 ratio. How much do each get

Answers

Answer: Therefore, the first person gets $476,190.48 and the second person gets $323,809.52.

Step-by-step explanation: To divide $800,000 into a 25:17 ratio, we first need to add the ratio terms (25 + 17 = 42) to determine the total number of parts. Then, we divide the total amount by the total number of parts to determine the value of each part. Finally, we multiply the value of each part by the respective ratio term to determine the amount that each person gets.

The calculation steps are as follows:

Determine the total number of parts: 25 + 17 = 42

Determine the value of each part:

Value of each part = Total amount / Total number of parts

= $800,000 / 42

= $19,047.62 (rounded to two decimal places)

Determine the amount that each person gets by multiplying the value of each part by the respective ratio term:

First person gets: 25 parts * $19,047.62 per part = $476,190.48

Second person gets: 17 parts * $19,047.62 per part = $323,809.52

Construct a truth table for the statement (~ pVq) →q.

Answers

Here is the truth table for the statement (~ p V q) → q:

```

p     q     ~p    ~p V q   (~p V q) → q

---------------------------------------

T     T     F      T           T

T     F     F      F           T

F     T     T      T           T

F     F     T      F           T

```

In the table, `p` and `q` represent the truth values of the propositions `p` and `q`, respectively. The symbol `~` represents negation (i.e., "not"). The symbol `V` represents the logical connective "or" (i.e., "inclusive or"). The symbol `→` represents the conditional connective "implies" (i.e., "if...then").

To fill in the truth table, we first evaluate `~p` and `~p V q` for each combination of truth values for `p` and `q`. Then, we evaluate `(~p V q) → q` for each combination of truth values.

We can see that the statement is always true, regardless of the truth values of `p` and `q`, except for the case where `p` is true and `q` is false.

Is 93 + 7 positive or negative?

Answers

Answer:

93 + 7 = 100

Step-by-step explanation:

I would assume positive because 100 is above the x-axis not below it.

Which expression is equivalent to 2^3 . 5^-2 ?

Answers

the answer is b

hope this helps

Non mutually exclusive events !

Answers

The missing probability is P(A or B) = 131/200

How to calculate the probability

It should be noted that in order to find the probability of the union of two events A and B, i.e., P(A or B), we can use the following formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = P(A) + P(B) - P(A and B) = (9/20) + (1/4) - (9/200)

Simplifying the expression, we get:

P(A or B) = 45/100 + 25/100 - 9/200 = (90+50-9)/200 = 131/200

The probability is 131 / 200.

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Bree is replacing the wire on her farm paddock fences. She has measured a couple of the sides and drawn a sketch of the paddock shape. (pic below)

a. Find the two missing sides and calculate the perimeter of the paddocks
Perimeter?

b. The cost of fencing wire is $5 per meter. How much will the wire cost
Cost?

Answers

a. The perimeter of the paddock is 120 meters

b. The cost of the wire will be $600

a. To find the missing sides and calculate the perimeter of the paddock, let's analyze the given sketch.

The length of the missing side on the left can be determined by subtracting the known length of 10m from the total height of 20m. Therefore, the left side has a length:

20m - 10m = 10m.

The missing side on the right is equal in length to the known side of 40m.

Now we can calculate the perimeter by adding up all the side lengths:

Perimeter = 10m + 40m + 20m + 10m + 40m

= 120m.

b. To calculate the cost of the wire, we need to multiply the perimeter of the paddock by the cost per meter of fencing wire, which is $5/m.

Wire Cost = Perimeter × Cost per meter

= 120m × $5/m

= $600.

To learn more about perimeter follow the link:

https://brainly.com/question/6465134

#SPJ1

1a. Model the periodic motion of the horses using an
equation and a graph.
Horse Equation: Use function notation in degrees. Your
function will graph below

Answers

The amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:

T = 2π/ω.

What is the explanation for the above response?

Let's assume that a straightforward harmonic motion can be used to simulate the horse's movements. The simple harmonic motion equation is:

y = A sin(ωt + φ)

where:

The deviation from equilibrium is represented by the number y.

The maximum displacement's amplitude is A.

The angular frequency is equal to two times the frequency ω.

It's time t

The phase angle is φ

The equation can be written as follows, assuming that the horse is moving vertically and that its highest point corresponds to y = 0.

y = A sin(ωt)

where is the angular frequency and A is the motion's amplitude.

On a graph, where the horizontal axis denotes time and the vertical axis denotes displacement, we can draw this function as a sine wave. The

amount of time it takes the horse to complete a full cycle of motion is known as the period of the motion and can be calculated as follows:

T = 2π/ω

We need to know the duration of the horse's motion in order to predict when Ivan will have another chance to make a flawless shot. It's challenging to determine the period precisely in the absence of more details.

You can name the graph of the carousel equation θ = A cos(ωt) as follows:

The time, t, is displayed on the x-axis as seconds.

The angular position from the midline, θ, expressed in degrees, is shown on the y-axis.

The horizontal axis at θ = 0 degrees is the midline.

The largest angle of departure from the midline, or the distance between the wave's crest (highest point) or trough (lowest point), is known as the amplitude, or A.

The interval between two consecutive wave crests or troughs is known as the period, or T, which is the length of time it takes for one full cycle of motion.

To know more about angular position, visit:

brainly.com/question/2005412

#SPJ1

A number rounded to the nearest thousand is 47,000 which number could be the number that was rounded

Answers

Answer:

Anything greater than or equal to 46,500, and less than or equal to 47,499 could be the answer.

For example, a number, let's say 46,589 falls within that range and may have been the number that was rounded.

HELP ASAP!!!
(Appropriate Measures MC)

A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.

10, 10, 10, 10, 15,15,15,19, 20, 20, 20, 25, 25, 25, 30, 30, 55, 55

A graph titled Donations to Charity in Dollars. The x-axis is labeled 10 to 19, 20 to 29, 30 to 39, 40 to 49, and 50 to 59. The y-axis is labeled Frequency. There is a shaded bar up to 8 above 10 to 19, up to 6 above 20 to 29, up to 2 above 30 to 39, and up to 2 above 50 to 59. There is no shaded bar above 40 to 49.

Which measure of variability should the charity use to accurately represent the data? Explain your answer.

The IQR of 10 is the most accurate to use, since the data is skewed.
The range of 10 is the most accurate to use, since the data is skewed.
The IQR of 45 is the most accurate to use to show that they need more money.
The range of 45 is the most accurate to use to show that they have plenty of money.

Answers

A measure of variability which the charity should use to accurately represent the data include the following: D. The range of 45 is the most accurate to use to show that they have plenty of money.

What is a box-and-whisker plot?

In Mathematics and Statistics, a box plot is a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the information provided about the data set, the five-number summary for the given data set include the following:

Minimum (Min) = 10.

First quartile (Q₁) = 13.75.

Median (Med) = 20.

Third quartile (Q₃) = 26.25.

Maximum (Max) = 55.

For the IQR, we have:

IQR = Third quartile (Q₃) - First quartile (Q₁)

IQR = 26.25 - 13.75

IQR = 12.50

For the range, we have;

Range = maximum - minimum

Range = 55 - 10

Range = 45.

Read more on range here: https://brainly.com/question/31352873

#SPJ1

Ted made $56 in interest by placing $700 in a savings account with simple interest for 1 year. What was the interest rate?

Answers

The interest rate if Ted made $56 in interest for 1 year on a principle of $700 will be 8%.

Given, the interest amount is $56.

The principal amount is $700.

The time period of investment is 1 year.

Now, we have to find the interest rate.

The formula to find the simple interest is,

  S.I = PTR/100.

Now, we need to substitute the values in the above formula.

S.I = PTR/100

56 = 700×1×R / 100

56 = 700R/100

5600 = 700R

R = 5600/700

R = 8

Therefore, the interest rate is 8%.

To know more about Simple Interest, click on:https://brainly.com/question/25845758

Husk takes out a 3200 student loan at 6.7% to help him

Part (a) find the total amount interest that will accrue for loan 1(community college )

Part (b) find the total amount of intrest that will a cure for loan 2 state university
Part (c) find the total amount intrest that accrues until payment begin

Answers

(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.

How to solve

(a) For loan 1, $3200 at 6.7% for 4 years and 7 months (4 years in college + 3 months deferment), the simple interest = 3200 * 0.067 * (55/12) ≈ $1023.33.

(b) For loan 2, $12,000 at 7.3% for 2 years and 7 months (2 years in college + 3 months deferment), simple interest = 12000 * 0.073 * (31/12) ≈ $2362.33.

(c) Total interest accrued until payments begin = $1023.33 (loan 1) + $2362.33 (loan 2) ≈ $3385.66.

Read more about interest rates here:

https://brainly.com/question/25793394

#SPJ1

Hey folks help me out for some points :)

Answers

Answer:

C

Step-by-step explanation:

Positive numbers represent a positive situation. And negative numbers coincide with a negative situation.

 Ex: An increase in temperature corresponds to a positive number, and a decrease in temperature with a negative number.

PLS HELP ASAP PLSSSSSS

Answers

Answer:

  a)  |x -8| = 6

  b)  |x -15| = 0

Step-by-step explanation:

You want the values of 'b' and 'c' for the cases where the solutions to the equation |x -b| = c are ...

2 and 1415

Solutions

The solutions to |x -b| = c are the solutions to ...

  x -b = c   ⇒   x = b +c

  x -b = -c   ⇒   x = b -c

Parameters

Given the two solutions P and Q, the values of 'b' and 'c' can be found from ...

  P = b +c

  Q = b -c

Adding these two equations gives ...

  P +Q = 2b   ⇒   b = (P +Q)/2

Subtracting the second equation from the first gives ...

  P -Q = 2c   ⇒   c = (P -Q)/2

a) Solutions 2 and 14

  b = (2 +14)/2 = 8

  c = (14 -2)/2 = 6

The equation is ...

  |x -8| = 6

b) Solutions 15 and 15

  b = (15 +15)/2 = 15

  c = (15 -15)/2 = 0

The equation is ...

  |x -15| = 0

1. Ashenge Private Limited Company is about to start production of new products. Before the start of the new production, it cost the company $200,000 to construct the factory building. Once the construction is over, the cost per unit of production is estimated to be Birr 20. Upon selling, the company will incur a 20% commission expense. Moreover, the price per unit of products is decided to be Birr 50.
Required:
a) Construct the total cost equation in terms of quantity.
b) Determine the break-even quantity and break-even revenue.

Answers

The total cost equation is 200,000 + 40n and the break-even revenue is 20,000.

Given that a company is starting a new production, it cost the company $200,000 to construct the factory building.

The cost per unit of production is estimated to be Birr 20.

The company will incur a 20% commission expense.

The price per unit of products is decided to be Birr 50.

We need to find the total cost equation in terms of quantity and determine the break-even quantity.

a) The fixed cost of the company is $200,000, and 40 per unit sell,

Therefore for n units the total cost =

200,000 + 40n

b) BEQ = FC / P−VC

= 200,000 / 50-40

= 20,000

Hence the total cost equation is 200,000 + 40n and the break-even revenue is 20,000.

Learn more about break-even revenue click;

https://brainly.com/question/28504810

#SPJ1

PLEASE HELP I have 30 minutes! What is the end behavior of this equation and how did you get it?

Answers

The limit of the function will be:

lim f(x) = ∞ as x → ∞

lim f(x) = 0 as x → -∞

How to explain the function

The limit of f(x) as x goes towards infinity is infinite while the limit of f(x) approaches 0 when x tends to a negative value. Mathematically speaking,

lim f(x) = ∞ as x → ∞

lim f(x) = 0 as x → -∞

We can comprehend such behavior because the function's base is greater than 1 which explains how its growth accelerates as x increases and diminishes quickly as x declines towards zero.

Leans more about functions on

https://brainly.com/question/11624077

#SPJ1

What is the value of "x", when 1/3x = 9 1/3?

Answers

Answer:

x=28

Step-by-step explanation:

solve for x by simplifying both sides of the equation, then isolating the variable.

have a good day :)

Answer

x=3 1/9

Step-by-step explanation:


If mZRST = 70, mZQST = 2x, and mZQSR = 3x - 10, what is the mZQSR
16
48
32
38

Answers

Thus, the value of x for the given set of adjacent angles is found as: x = 16 and m∠QSR = 38.

Explain about the adjacent angles:

If two angles share a side and a vertex, they are said to be neighbouring in geometry. In other words, neighbouring angles do not overlap and are placed next to one another immediately.

We may infer from our criteria and the aforementioned instances that any pair of neighbouring angles has a shared vertex and a common side. They really aren't adjacent if one of these elements is absent. By searching for these two characteristics, we can categorise pairs of angles as neighbouring or not adjacent.There are numerous unique connections between angles in pairs. You can recognise other angle connections, such as supplementary and complementary angles, by recognising nearby angles.

Given data:

m∠RST = 70, m∠QST = 2x, and m∠QSR = 3x - 10

From the figure:

m∠RST  = m∠QST + m∠QSR

Put the values

70 = 2x + 3x - 10

5x = 80

x = 16

Thus,

m∠QSR = 3x - 10  = 3(16) - 10

m∠QSR = 38

Thus, the value of x for the given set of adjacent angles is found as: x = 16 and m∠QSR = 38.

Know more about the adjacent angles:

https://brainly.com/question/28394984

#SPJ1

Complete question:

If m∠RST = 70, m∠QST = 2x, and m∠QSR = 3x - 10, what is the m∠QSR?.

The figure is attached:

16

48

32

38

cot0 equals 6, lies in quadrant 3 sin20

Answers

The exact value of sin 2θ is 12/37

How to find the exact value of sin 2θ?

Trigonometry deals with the relationship between the ratios of the sides of a right-angled triangle with its angles.

We have:

cot θ = 6

Thus, tan θ = 1/6

Using the given information, we can sketch the location of the angle θ in the quadrant (See the attached image).

Thus, we can calculate the value of the hypotenuse using the Pythagoras theorem. That is:

hypotenuse = √((-6)² + (-1)²) = √37

sin θ = -1/√37

cos θ = -6/√37

Using trig. identity:

sin 2θ = 2sinθ·cosθ

sin 2θ = 2 * (-1/√37) * (-6/√37)

sin 2θ = 12/37

Therefore, the exact value of sin 2θ is 12/37

Learn more about Trigonometry on:

brainly.com/question/11967894

#SPJ1

Complete Question

If cot θ = 6,and θ lies in quadrant 3, find the exact value of sin 2θ

For the function f(x)=|x-3 | select all the true statements. A. The function is increasing on the interval [3, 5) B. The function is increasing of the Interval (0, 3) C. The vertex is (0, 3) D. The vertex is (3, 0). E. The y-intercept is (0, 3). F. The y-intercept is (3, 0).​

Answers

Answer:

D and E

----------------------

See attached graph to help with answer choices.

Given function:

f(x) = | x - 3 |

Answer choices:

A. The function is increasing on the interval [3, 5) - False, correct interval is [3, + ∞)B. The function is increasing on the Interval (0, 3) - False, as shown aboveC. The vertex is (0, 3) - False, the vertex is (3, 0)D. The vertex is (3, 0) - TRUEE. The y-intercept is (0, 3) - TRUEF. The y-intercept is (3, 0) - False, the correct one is given above

The hypotenuse of a certain right triangle is twice the length of the
shorter leg. The shorter leg is 4 cm.

Answers

Answer:

Step-by-step explanation:

If the hypotenuse of a right triangle is twice the length of the shorter leg and the shorter leg is 4 cm, then the hypotenuse is 2 * 4 cm = 8 cm.

Using the Pythagorean theorem, we can find the length of the longer leg. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. Letting c represent the length of the hypotenuse and a and b represent the lengths of the other two sides, we can write this as c^2 = a^2 + b^2.

Substituting in the known values for c and one of the other sides (let’s say a), we have:

8^2 = 4^2 + b^2 64 = 16 + b^2 b^2 = 48 b = sqrt(48)

So, the length of the longer leg is sqrt(48) cm, or approximately 6.93 cm.

Solve 8 • w ≤ 72. Graph the solution.
Please help

Answers

Answer:

w≤9

Step-by-step explanation:

8w ≤ 72

Divide by 8 on both sides

w ≤ 9

For graph, draw a number line and label a point as 9. Draw a solid line facing to the left and having a closed point at 9. The line should not extend past 9.

How many games did the team play last season?

Answers

The number of games that the team did play in the last season is 23.

What is the frequency?

The frequency is the number of times an event happens. Therefore, frequency is the number of repetitions of a digit or an event.

The given frequency table represents the frequency of different runs scored by the team in the entire season.

The frequency is written in tally form, which means that each of the vertical lines represents the count of 1, while a group of fours lines such that the four lines are vertical while the fifth line cuts the other four represents a count of 5 as shown in the second column of the second row.

Therefore, the frequency table can be made as:

Number of runs     Frequency

            0                         8

            1                          5

            2                         3

            3                         6

            4                         1

Total:                              23

Hence, the team played 23 games.

Learn more about Frequency:

https://brainly.com/question/5102661

#SPJ1

For the right triangle below, find the measure of the angle.
Figure is not to scale.

Answers

For the given right-angled triangle the measure of the angle is 11.30°.

Given adjacent base of the triangle =  10

given opposite side of the triangle = 2

To find out the angle we can use a little bit of trigonometry. By trigonometry, we know that tan ∠ = opposite side / adjacent side.

So, we can use the above tan ∠ relation to find the angle.

Tan ∠ = opposite side / adjacent side

Tan ∠ = 2/10

Tan ∠ = 1/5

∠ = Tan⁻¹(1/5)

∠ = 11.30°.

From the above explanation, we can conclude that the measure of the angle for the given right triangle is 11.30°.

To know more about angles,

https://brainly.com/question/25716982\

#SPJ1

Choose yes or no to tell whether the equation has the given solution 1/4×+3=3=4×+ 1,x=8

Answers

Answer:

[tex]\large\boxed{\tt No.}[/tex]

Step-by-step explanation:

[tex]\textsf{We are asked to determine if the equation has a solution given a value.}[/tex]

[tex]\textsf{Since x is given to us, we can use the \underline{Substitution Property of Equality} to evaluate}[/tex]

[tex]\textsf{the equation.}[/tex]

[tex]\large\underline{\textsf{What is the Substitution Property of Equality?}}[/tex]

[tex]\textsf{The Substitution Property of Equality is a Property that allows us to substitute}[/tex]

[tex]\textsf{a known term, or expression for an unknown variable, or some kind of placeholder.}[/tex]

[tex]\textsf{After Substitution, we can prove that the expressions are still equal with this}[/tex]

[tex]\textsf{property.}[/tex]

[tex]\large\underline{\textsf{Solving;}}[/tex]

[tex]\tt \frac{1}{4} x + 3 = " 3 = " 4x+1[/tex]

[tex]\textsf{There's likely a typo in your equation given, hence I will fix it.}[/tex]

[tex]\tt \frac{1}{4} x + 3 = 4x+1[/tex]

[tex]\textsf{Substitute 8 for x in both sides of the equation using our property.}[/tex]

[tex]\underline{\textsf{Use the Substitution Property of Equality;}}[/tex]

[tex]\tt \frac{1}{4} (8) + 3 = 4(8)+1[/tex]

[tex]\underline{\textsf{Follow PEMDAS, multiply first;}}[/tex]

[tex]\tt 2 + 3 = 32+1[/tex]

[tex]\underline{\textsf{Evaluate;}}[/tex]

[tex]\tt 5 \neq 33[/tex]

[tex]\textsf{If the "typo" was the actual equation;}[/tex]

[tex]\tt 5 \neq 3 \neq 33[/tex]

[tex]\large\boxed{\tt No.}[/tex]

Sarah uses a square and two semicircular7 inches regions to design a heart shaped poster find the area of the heart then find the approximate area by using 3.14radius

Answers

The poster has an area equal to 192.423 square inches.

How to determine the area of a heart shaped poster

In this problem we must determine the area of a heart shaped poster, that is, the combination of the areas of a square and two semicircles, whose resulting formula is introduced below:

A = D² + (π / 4) · D²

Where:

A - Area of the heart shaped poster, in square inches.D - Side length of the square, in inches.

If we know that π = 3.14 and D = 7 in, then the area of the poster is:

A = 7² + (π / 4) · 7²

A = (5π / 4) · 7²

A = 192.423 in²

The area of the poster is equal to 192.423 square inches.

Remark

The image is missing and the statement is not well explained. A correct statement is shown below:

Sarah uses a square with side length of 7 inches and two semicircles with diameter of 7 inches to design a heart shaped poster. Find the area of the heart. Then, find the approximate area by using 3.14.

To learn more on areas of composite figures: https://brainly.com/question/30488703

#SPJ1

Someone help i really need help with this

Answers

The equation which can be used to find the amount the admission tickets cost would be 4x + 25 = 175. The cost of the admission tickets would therefore be $ 37.50.

How to find the equation ?

The total spent by Ms. Boi was $ 175.00 so this is what the entire equation would be equal to. The cost of admission tickets will be denoted as x because they are the unknown figure.

There are 4 tickets purchased so the equation would be:

4 x Cost of tickets - Parking cost = Total spent

4 x - 25 = 175

The cost of each admission ticket is:

4 x - 25 = 175

x = 150 / 4

x = $ 37.50

Find out more on cost at cost

#SPJ1

If a, b, c are in H.P.; prove that b+ca+ca+b ac' ab bc are also in A.P.​

Answers

If a, b, c are in Harmonic Progression, b+ca+ca+b ac' ab bc are in Arithmetic Progression.

How to prove Harmonic Progression and Arithmetic Progression?

Given a, b, c are in H.P.:

1/a + 1/b = 2/c

Multiplying both sides by abc:

bc + ac = 2ab

Adding c to both sides:

bc + ac + c = 2ab + c

Rearranging the terms:

c + ab = ac + bc

Adding the terms b + ca and ca + b to both sides:

b + ca + ca + b + ac' + ab + bc = ac + bc + b + ca + ca + b

Simplifying:

b + ca + ca + b + ac' + ab + bc = 2ac + 2b

Dividing both sides by 2:

(b + ca + ca + b + ac' + ab + bc)/2 = ac + b

Hence, b+ca+ca+b ac' ab bc are in A.P.

Find out more on H.P here: https://brainly.com/question/27927304

#SPJ1

Other Questions
The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is 35 meters wide at the base and 20. 6 meters tall, what was the minimum amount of glass needed to construct the pyramid? Part A Convert the mixed fraction into an improper fraction. 5 9 17 5 17 9 = = 94 17 Part B Select the decimal equivalent to the improper fraction in PART A approximated to two decimal places: (b) A 5.525 B 5.535 C 5.55 D 5.625 Which of the following phrases best describes structured exercise? a. flexible, changing b. intense, competitive c. organized, follows a pattern d. competitive, flexible please select the best answer from the choices provided. a b c d How are the words expose and eclipse related The enrollment of students at a school is decreasing at a constant rate of 5 % per year what percent remains after one year i cant do math no more the function g(x) = 12x^2-sinx is the first derivative of f(x). If f(0)=-2 what is the value of f(2pi NEED HELP ASAP! (10POINTS) What individual during the Scientific Revolution began at a time when few dared toquestion old/traditional beliefs?Isaac NewtonGalileo GalileiJohannes KeplerNicolaus Copernicus Mathlearningarea of circles - item 34972the diameter of a quarter is about 1 in. you trace around the edge of the quarter on a sheet of paper. what is the area of the circle on the paper?use 3. 14 as an approximation for a round your answer to the nearest tenth, Which statements are TRUE about fossil fuels? (Select all that apply.)They are in a limited supply.They do not replenish themselves.They are expensive to extract compared to other forms of energy.They release large amounts of carbon dioxide when burnedhelp its an exam if any links I WILL REPORT HELP PLS & THANK YOU Based on this cartoon, the passage of the quota acts and the trial of sacco and vanzetti illustrate that point of view of many americans in the 1920s was..a) intolerant of ethnic minorities b) committed to racial integration c) worried about foreign wars d) determined to increase immigration Which sentence describes an example of a positive feedback loop? Help pleaseStep 1: The subject of your sentence and the information you want to give to your reader:(Subject).(Information).Step 2: List by number the pieces of information you have written forstep 1.12345Reorder this list so you can give your reader this information in the most interesting or understandable way.12345 1. What is the average annual return if someone invested 100% in bonds? 2. What is the average annual return if someone invested 100% in stocks? 3. Calculate the range of potential annual returns if you invested 10% in bonds and 90% in stocks. How does this compare with the range of potential annual returns if you invested 10% in stocks and 90% in bonds?4. Your friend tells you he is going to start investing and would like to earn a 10% return. He says stocks make him nervous, so he will only be investing 10% in stocks and the remaining 90% will be invested in bonds. What would you say to him?5. Use evidence from this graph to explain the value of investing in both stocks and bonds - not just one or the other.No links Need ASAP Please hurry From the narrators point of view, write a conclusion to the passage "The Carpenters Apprentice. "Start with what Ben might say in response to the narrator. Use descriptive words and phrases in your story conclusion. The Carpenters ApprenticeBefore Ben started to work with me, I had advised him to buy a quality set of tools. "Good tools areexpensive," I had told him, "but they will last for years. " On Bens first day of work, the head of thecheap hammer he had bought flew off and put a hole in a wall. One Monday, as we ate our lunch in the truck outside the Pine Street house, Ben told me that he hadmade a few phone calls for us. "The lumberyard across town can deliver what we need tomorrow. Wecould finish the job by noon on Friday!"I turned and met his eyes. "I think I told you that I dont do business with that lumberyard anymore. The last order I got from them had warps, splits, and four-inch knots on every piece. ""But if we wait until the other delivery on Thursday, we wont finish the job until Monday or Tuesday ofnext week. "I continued to look at him. Ben was thinking of his plans for the weekend, but I was thinking of ourobligation to the houses owner to do the job right using only quality materials. "Ben," I sighed, "how would you like to live in this house?" He looked up at me quizzically, as thoughI were making him an offer. "Would you like to live in this house if it were built your way, using inferiorlumber? Would you want to walk around on a floor with warped supports under it and sleep under aroof built with split and knotted wood? We need to do this right, Ben. You cant build a house twice. "A philosopher, Im not sure who, once said something to the effect that when you finish building yourhouse, you realize all that you have learned in the processand you realize, too, that all you havelearned you should have known before you started Read the passage. To speak, in conclusion, only of what has been done during this hurried voyage, their Highnesses will see that I can give them as much gold as they desire, if they will give me a little assistance, spices, cotton, as much as their Highnesses may command to be shipped, and mastic as much as their Highnesses choose to send for, which until now has only been found in Greece, in the isle of Chios, and the Signoria can get its own price for it; as much lign-aloe as they command to be shipped, and as many slaves as they choose to send for, all heathens. I think I have found rhubarb and cinnamon. . . . But our Redeemer has given victory to our most illustrious King and Queen, and to their kingdoms rendered famous by this glorious event, at which all Christendom should rejoice, celebrating it with great festivities and solemn Thanksgivings to the Holy Trinity, with fervent prayers for the high distinction that will accrue to them from turning so many peoples to our holy faith; and also from the temporal benefits that not only Spain but all Christian nations will obtain. The Letter of Christopher Columbus to Luis deSant Angel Announcing His Discovery, 1493The passage reflects European motivations for exploring and colonizing the Americas in the desire to engage in anexchange of European agricultural products and natural resources for American agricultural products and natural resources with native peoples in an equitable fashion. exchange of American agricultural products and natural resources for cultural enlightenment for American Indian groups through the spread of Christianity. acquisition of American agricultural products, natural resources, and enslaved labor with little intention to exchange goods of comparable value with American Indian groups. acquisition of American agricultural products, natural resources, and persons for enslaved labor for return to Europe through use of military force To which column does each quote from "The Threat of Inequality" belong? Write the letterof the quote in the correct column to indicate whether it is a logical, ethical, emotional, orbandwagon appeal.BandwagonEmotionalEthicalLogicalA. And finally, a belief in equality and basic moral fairness is a foundation of British society.(paragraph 4)B. It makes them furious to hear the government claim the crisis is over, when they and their friendsand family are all still suffering. (paragraph 5)C. They proved that inequality causes shorter, unhealthier, and unhappier lives. It increases the rate ofteenage pregnancy, violence, obesity, imprisonment, and addiction. (paragraph 9)D. The final reason that we must fight inequality is because it is rejected by the British people.(paragraph 10) Think about the novel or short story you read for Module Five. What is the theme?Cite quotations and page numbers from your novel or short story to support your idea. i read the strangers that came to town