Mathematics College

What is the initial value of the sequence? Please help

Answers

Answer 1

The initial value of the sequence is 1

How to determine the initial value?

From the graph, we have the following ordered pairs

(x, y) = (1, 1), (2, 4) and (3, 8)

Remove the x values

y = 1, 4, 8

The first value in the above sequence is 1

Hence, the initial value of the sequence is 1

Related Questions

Calculate the gross earning for an apple picker based on the following differential pay scale: 1- 1000:$0.03 each 1001-1600:$0.06 each over 1600:$0.07 each. Calculate the Gross earning

Answers

If he picks 1965, then the Gross earning will be $85.55.

The missing part of the question is given below.

If he picks 1965, then Calculate the Gross earning.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Calculate the gross earning for an apple picker based on the following differential pay scale:

1 – 1000: $0.03 each

1001 – 1600: $0.06 each

over 1600: $0.07 each

Total apples picked by Lindbergh = 1965

So, for 1000 apples, he will get =1000 × 0.03 = $30

Now, remaining apples = 1965 – 1000 = 965

Now for next 600 apples (from 1001-1600), he will get = 600 × 0.05 =$30

Now, remaining apples = 965 – 600 = 365

So, for remaining 365 (above 1600) apples, he will get = 365 × 0.07 = $25.55

So, total gross earning = $30 + $30 + $25.55

⇒ $85.55 is total gross earning

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Which linear function represents the line given by the point-slope equationy-2=4x-3)?
O fx)=6x-1
Of(x)=8x-6
Of(x)=4x-14
Of(x)=4x-10

Answers

the answer to the question is
f(x)= 4x - 10

Problem
Suppose that J is between H and K. If HJ=2x+4, JK=3x+3, and KH=22, find the lengths of HJ and JK. Remember to always draw an image first and to pay attention to what the question is asking for!

Solution
Find the Segment Addition Postulate
Use the Segment Addition Postulate and then substitute what we know. Do not use any spaces in your answers.

HJ+JK= Answer

( Answer
)+( Answer
)= Answer

Find x
Once we combine our like terms we get:

Answer
x+ Answer
= Answer

x= Answer

Find HJ and JK
Our questions asked us for the lengths of HJ and JK so we must plug in the value of x to solve for those values. We were given HJ=2x+4 and JK=3x+3.

HJ=2x+4

HJ=2( Answer
)+4

HJ= Answer

And

JK=3x+3

JK=3( Answer
)+3

JK= Answer
3x-4

Check Work
View checked work

Answers

Answer:

The lengths of HJ and JK are 50 and 72 respectively.

Given:

J is between H and K.

HJ=2x+4

JK=3x+3

HK=22

Step-by-step explanation:

The total length is given as:

HJ+JK=HK

⇒ (2x+4)+(3x+3)=22

⇒ 5x+7=22

⇒ 5x=22-7

⇒ 5x=15

⇒ x=3

Thus, the length of HJ is (2x+4)=(2*3+4)=10

And the length of JK is (3x+3)=(3*3+3)=12

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The lengths of HJ and JK are 50 and 72 respectively.

Given: J is between H and K. the length of HJ=2x+4, JK=3x+3, and HK=22.

The line HJ and JK are collinear then the total length is given as: HJ+JK=HK

substitute values

⇒ (2x+4)+(3x+3)=22

⇒ 5x+7=22

⇒ 5x=22-7

⇒ 5x=15

⇒ x=3

Thus, the length of HJ is (2x+4)=(2*3+4)=10

And the length of JK is (3x+3)=(3*3+3)=12

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An electrician charges a $40 fee to make a house call plus an hourly rate for labor. If the total bill that takes 2 hours comes to $99 what is the electrician hourly labor rate?

Answers

Answer $29.50
Reason
You can use the formula y=mx+b for this
We know y is the total bill of $99
We know b is the $40 fee (y intercept or starting point)
We know x is 2 hours
We are looking for m or rate
Substitute numbers for letters in formula
99= m(2) +40
Subtract 40 from both sides to isolate m
59=2m
Divide both sides by 2 to solve for m
M=$29.50
We can prove our answer by inserting our answer for “m” in the formula
99=29.50x2+40
99=99
Answer is correct

forty percent of participants in a math contest were boys. fifty percent of the boys revived medals. the number of boys who received the medals was equal to the number of girls who received the medals. what percent of the participants were girls who received medal?

Answers

20% of the participants are girls and got a medal, and 33% of the girls got a medal.

What percent of the participants were girls who received medal?

First, we know that 40% of the participants were boys, so the other 60% were girls.

We know that 50% of the boys got a medal, so the percentage (in decimal form) of participants that are boys and got a medal is:

P = (0.4)*(0.5) = 0.2

So, 20% of the participants are boys and got a medal.

We know that the number of girls that got a medal is the same as the number of boys, then we also have that 20% of the participants are women who got a medal.

Then if the percentage of girls that got a medal is x (in decimal form), we must have that:

Q = (0.6)*(x) = 0.2

x = 0.2/0.6 = 0.33

x = 0.33

This means that 33% of the girls got a medal.

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What is the domain of the function represented by the list of ordered pairs?
(0, 2), (-3, 6), (4, 8), (2, 5), (-2, 4)

Answers

Answer:

D: (-3,4).

Step-by-step explanation:

There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).

Toyota manufactures most of the vehicles it sells in the United Kingdom in Japan. The base platform for the Toyota Tundra truck line is ¥1,650,000. The spot rate of the Japanese yen against the British pound has recently moved from ¥197/£ to ¥190/£. How does this change the price of the Tundra to Toyota's British subsidiary in British pounds? Explain.

Answers

When the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

Prices = 1,650,000

Exchange rates = ¥197/£

Change in exchange rate = ¥190/£

So, here Original price of the Toyota tundra is

= 1,650,000 ÷ 197

= 8375.63

New import price is = 1,650,000 ÷ 190

= 8,684.21

Percentage change in the price of the imported trucks should be

= ( New price - Old price) / old price *100 = (8,684.21 - 8375.63) ÷ 8375.63 = 3.68%

Hence , when the spot rate of the Japanese yen against the British pound moves from ¥197/£ to ¥190/£. This change the price of the Tundra to Toyota's British subsidiary in British pounds by 3.68%.

(This is the percentage change in the Japanese yen as the price of the truck remains unchanged).

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3a =2b + -6 (solve for a)

Answers

Answer:

shown below

Step-by-step explanation:

3a = 2b - 6

a = (2b - 6) / 3 or 2b / 3 - 2

Answer:

a = (2b-6)/3

Step-by-step explanation:

3a = 2b + -6

lets make a the subject of the formula

divide both sides of the equation by 3

3a/3 = a = (2b-6)/3

a = (2b-6)/3

A company gives each worker a cash bonus every Friday, randomly giving a worker an amount with these probabilities: $10 - 0.75, $50 - 0.25. Over many weeks, what is a worker's expected weekly bonus?

Answers

The worker's expected weekly bonus is $30.0

How to determine the worker's expected weekly bonus?

The amounts and the probabilities are given as:

x $10 $50

P(x) 0.75 0.25

The worker's expected weekly bonus is calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

So, we have:

E(x) = $10 * 0.75 + $50 * 0.25

Evaluate the product

E(x) = $17.5 + $12.5

Evaluate the sum

E(x) = $30.0

Hence, the worker's expected weekly bonus is $30.0

Answers

Answer: 14 - 5i

Step-by-step explanation:

Answer:

-10i+15 or 15-10i

Step-by-step explanation:

Use the cross multiply method

(4+1)(3-2i)

4x3=12

4x-2i=-8i

1x3=3

1x(-2i)=-2i

now we sum our similarities.

-10i+15

what is the measure of 4?

Answers

Answer:

∠ 4 = 80°

Step-by-step explanation:

∠ 5 and 100° are vertical angles and are congruent , so

∠ 5 = 100°

∠ 4 and ∠ 5 are same- side interior angles and sum to 180° , that is

∠ 4 + ∠ 5 = 180°

∠ 4 + 100° = 180° ( subtract 100° from both sides )

∠ 4 = 80°

Find X and QT. The shape is a Rhombus

Answers

Answer:

See below ~

Step-by-step explanation:

Sides of a rhombus are equal.

⇒ QT = TS

⇒ x² - 4x - 10 = 6x + 14

⇒ x² - 10x - 24 = 0

⇒ x² + 2x - 12x - 24 = 0

⇒ x (x + 2) - 12 (x + 2) = 0

⇒ (x + 2)(x - 12) = 0

⇒ x = -2 or x = 12

Substitute both values and see which gives a positive value for QT :

When x = -2 :

QT = (-2)² - 4(-2) - 10QT = 4 + 8 - 10QT = 2

When x = 12 :

QT = (12)² - 4(12) - 10QT = 144 - 48 - 10QT = 86

The 2 possible answers are :

x = -2, QT = 2x = 12, QT = 86

list 4 factors of 24. list 4 multiples of 24.

Answers

Answer:

Factors of 24: 1, 2, 3, 4, 6 etc.

Multiples of 24: 48, 72, 96, 120

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Factors of 24:

24 can be written as:

= 1 × 24

= 2 × 12

= 3 × 8

= 4 × 6

So, 1, 2, 3, 4, 6, 8, 12 and 24 are the factors of 24.

Multiples of 24 are:

1 × 24 = 24

2 × 24 = 48

3 × 24 = 72

4 × 24 = 96

and so on...

So, the first 4 multiples of 24 are 24, 48, 72 and 96.

[tex]\rule[225]{225}{2}[/tex]

True or False? A corollary is a statement that can be easily proved by using theorem.

Answers

Corollary - It is a theorem in geometry that the angles opposite two congruent sides of a triangle are also congruent. So I’d say true

What is the surface area of the cylinder below?

Answers

Answer:

Surface Area = 378.25

Step-by-step explanation:

Comment

It's not clear whether the figure has 0 1 or 2 lids. Since it is a cylinder, I will assume 2 lids like a can of soup.

Area lids

diameter = 11.4

radius = d/2

radius = 11.4/2

radius = 5.7

Area = pi * r^2

Area = (3.14 * 5.7^2) * 2 There are 2 lids.

Area = 102.01 yd^2

Area body

This is found by finding the circumference of the lid and multiplying by the height

Circumference

C = 2*pi*r

2*r = the diameter

2*r = 11.4

C = 3.14*11.4

C = 35.80

Area body

Area body = C* h

h = 7.8

Area body = 35.80 * 7.8

Area body = 279.24

Total Area = 102.01 + 279.24 = 378.25

A business student is interested in estimating the 95% confidence interval for the proportion of students who bring laptops to campus.
He wishes a precise estimate and is willing to draw a large sample that will keep the sample proportion within five percentage points
of the population proportion. What is the minimum sample size required by this student, given that no prior estimate of the population
proportion is available?
(You may find it useful to reference the z table. Round intermediate calculations to at least 4 decimal places
and "2" value to 3 decimal places. Round up your answer to the nearest whole number.)

Answers

Using the z-distribution, the minimum sample size required by this student is of 385.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

We want a margin of error of M = 0.05, with no prior estimate, hence [tex]\pi = 0.5[/tex], then we have to solve for n to find the minimum sample size.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.05 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.05\sqrt{n} = 1.96(0.5)[/tex]

[tex]\sqrt{n} = 1.96 \times 10[/tex]

[tex](\sqrt{n})^2 = (1.96 \times 10)^2[/tex]

n = 384.16

Rounding up, the minimum sample size is of 385.

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Find the area of the rectangle.
A rectangle is shown. The left side is labeled with the expression 8 x. The top side is labeled with the expression 7 x plus 1. (1 point)
15x + 1
56x2 + 8x
56x + 8
15x2 + 9x

Answers

Answer:

Step-by-step explanation:

= (7x+1) • (8x)

= 56x^2 + 8x

Which statements are true from the graph ? Check all that apply:
the line is horizontal the line is vertical

Answers

The statements that are true from the graph are:

The line is horizontalThe line goes through (4, 4 )The y- values are all 4

Calculations and Parameters

Given the graph, we can note some things:

There is a line with a slope of zero.This is a horizontal line parallel to the x-axis.The equation of the line is y = c

c is the value of the y- coordinates the line passes through.

The line passes through (0, 4 ) with a y- coordinate of 4

Therefore, the equation of the line of y= 4

Answers

The value of x, y and z will be 1, 5 and 2 respectively

An augmented matrix in linear algebra is a matrix created by joining the columns of two supplied matrices, often so that the same basic row operations may be applied to each of the given matrices individually.

Lets write the augmented matrix by writing the coefficients of all the variables:

3 -4 -5 -27 Row 1

5 2 -2 11 Row 2

5 -4 4 -7 Row 3

We need to get

1 0 0

0 1 0

0 0 1

then the values of x, y, and z will be in the last column.

The row operation (R1=R1/3) is used to get the identity matrix.

1 -4/3 -5/3 -9 Row 1

5 2 -2 11 Row 2

5 -4 4 -7 Row 3

Add row 2 to row 1 and multiply by 5 (R2=R2(5)R1).

1 -4/3 -5/3 -9 Row 1

0 26/3 19/3 56 Row 2

5 -4 4 -7 Row 3

Add row 3 to row 1 and multiply by 5 (R3=R3(5)R1).

1 -4/3 -5/3 -9 Row 1

0 26/3 19/3 56 Row 2

0 8/3 37/3 38 Row 3

Multiply row 2 by 326 (R2=(3/26)R2)

1 -4/3 -5/3 -9 Row 1

0 1 19/26 84/13 Row 2

0 8/3 37/3 38 Row 3

Add row 2 multiplied by 4/3 to row 1 (R1=R1+(4/3)R2)

1 0 -9/13 -5/13 Row 1

0 1 19/26 84/13 Row 2

0 8/3 37/3 38 Row 3

Add row 3 to row 2 and multiply the result by 8/3 (R3=R3(8/3)R2).

1 0 -9/13 -5/13 Row 1

0 1 19/26 84/13 Row 2

0 0 135/13 270/13 Row 3

Multiply row 3 by 13/135 (R3=(13/135)R3)

1 0 -9/13 -5/13 Row 1

0 1 19/26 84/13 Row 2

0 0 1 2 Row 3

Add row 3 multiplied by 9/13 to row 1 (R1=R1+(9/13)R3)

1 0 0 1 Row 1

0 1 19/26 84/13 Row 2

0 0 1 2 Row 3

Row 2 is reduced by row 3 multiplied by 19/26 (R2=R2(19/26)R3).

1 0 0 1 Row 1

0 1 0 5 Row 2

0 0 1 2 Row 3

Hence the value of x, y and z will be 1, 5 and 2 respectively

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In your own words, explain the discriminant test. Use the discriminant test to decide whether the equation represents a parabola, ellipse or a hyperbola and explain why you know this is true. x^2 − 4xy + 3x + 25y − 6 = 0

Answers

A discriminant test is one that tells whether a formula has one, two or no solutions.

The equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

What is a discriminant test?

A discriminant test is a test that tells whether there are one, two or no solutions for a formula.

The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac.

The discriminant of a quadratic equation is given as ax2 + bx + c = 0

A discriminant is said to be a parabola either x or y is squared and not both unlike that of an eclipse and a hyperbola.

With the given equation, x^2 − 4xy + 3x + 25y − 6 = 0, only x is squared and not both x and y.

Thus, the equation represents a parabola because the discriminant of a parabola has either x or y squared and not the both.

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Find the value of x.

Answers

Answer:

Step-by-step explanation:

plug in x try numbers

x = 14.2

Add both 79 and 5x+3

what is the variable equal to y8=40

Answers

y8=40
You can divide 40 by 8 and you get 5. y=5

Answer:

Step-by-step explanation:

We need to isolate the variable, aka make y on one side. So, if we divide 8 on both sides, it will be

y8=40

y8/8=40/8

y=5

Which results only in a horizontal compression of Y=1/x
by a factor of 6?

Answers

Step-by-step explanation:

[tex] y = \frac{1}{x} [/tex]

In order to compress by a factor of 6, we multiply the variable x by 6. It would compress the hyperbola

[tex]y = \frac{1}{6x} [/tex]

Tickets for a soccer game cost $5 for students and $8 for adults. the number of students was 7 less than 11 times the numbers of adults. the amount of the money from tickets was 3682 how many of each tickets were sold?tichets

Answers

The number of students will be 642 and the number of the adults will be 59.

What is the solution of the equation?

The solution of the equation means the value of the unknown or variable.

Tickets for a soccer game cost $5 for students and $8 for adults.

The number of students was 7 less than 11 times the numbers of adults.

The amount of the money from tickets was 3682.

Let x be the number of students and y be the number of the adults.

Then the equation will be

x = 11y – 7 …1

5x + 8y = 3682 …2

From equation 1 and 2, we have

5(11y – 7) + 8y = 3682

55y + 8y – 35 = 3682

63y = 3717

y = 59

Then the value of x will be

x = 11 × 59 – 7

x = 642

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Find DG.
DE
2x+17
EF
8
FG
2
x + 20

Answers

The value of DG is 4x + 45

Determine the length of a line segment

From the question, we are to determine the value of DG

From the given information,

DE = 2x + 17

EF = 8

FG = 2x + 20

Then,

DG = DE + EF + FG

DG = 2x + 17 + 8 + 2x + 20

DG = 4x + 45

Hence, the value of DG is 4x + 45

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Factor out the GCF from the polynomial.
r(2²-24) + (2²-24)

Answers

Answer: -20

Step-by-step explanation: i hope its right

When completing the square on the equation c^2 + 11c = 12, the resulting solution is

Answers

Answer:

Attached file is the solutions

Step-by-step explanation:

On Monday, the water was shut off 3 times for ¼ hours, 2/3 hours, and 1-3/4 hours, respectively. What was the total number of hours the water was off?

Answers

Answer:

2-2/3 hours

Step-by-step explanation:

1/4 + 2/3 + 1-3/4 = 1/4 + 2/3 + 7/4. Use common is 12, so we get 3+8+21/12 = 32/12. Simplify equal 8/3 or 2-2/3 hours!

Based on the vertical bar chart below, in which of the following months were just over 10% of professional European soccer players
born?
March
B) January
April
May
Professional European soccer player birth months
Relative frequency (%)
20%
15%
10%
5%
Jan Feb Mar Apr May Jun
ایل
Month
....
Aug Sep Oct Nov Dec

Answers

By critically observing the vertical bar chart, only the month of May had a birth of just over 10%.

What is a bar chart?

A bar chart refers to a type of chart that is used for the graphical representation of a data set, especially by using rectangular bars or vertical columns.

Based on the vertical bar chart (see attachment), the relative frequency (&) with the birth of over 10% are:

Jan Feb Mar Apr May

However, only the month of May had a birth of just over 10%.

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6x -8=16 solve equation

Answers

Answer:

x = 4

Step-by-step explanation:

6x - 8 = 16 (add 8 to both sides)

6x = 24 (divide by 6 on both sides)

x = 4

Brainliest, please :)

Step-by-step explanation:

6x=16+8

6x=24

6x/6=24/6

x=4

so the answer is 4

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