which exponential function has an initial value of 2?

Answer: Yes

Step-by-step explanation:

[tex]\frac{123}{2}=\frac{246}{4}=\frac{369}{6}=\frac{492}{8}=61.5[/tex].

Since the ratio of distance in miles and the time in hours is constant, the relationship is proportional.

[tex]\log_290=\log_2(3^2\cdot10)=\log_23^2+\log_210=2\log_23+b=2a+b[/tex]

The method that can be used to write the equation of a line in slope-intercept form given two points is option A.

When a person wants to write the equation of a line in slope-intercept form given two points, he would have to:

Therefore, the answer is option A.

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Answer:

3.75

Step-by-step explanation:

if 2.25 is the cost for 9 hrs then divide by 9 and find one hr. (.25$) then multiply by 15 hrs and kabam you have it

Answer:

[tex]\boxed {A) m < CVB}[/tex]

Step-by-step explanation:

If C is a point inside ∠AVB, then :

⇒ m ∠AVC + m ∠CVB = m ∠AVB

Graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have the equation of the line:

5y = x + 5

After plotting the line on the coordinate plane.

The above line passes through:

(-5, 0), (0,1), and (5,2)

And the line rises from (-8, -0.5), (-5, 0), (0,1), and (5,2)

Thus, graph (A) represents the equation of the line 5y = x + 5 shown in the graph option (A) is correct.

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Answer:  A. A line is graphed in an x y plane, where the x and the y axes range from negative 8 to 8 in increments of 2. The line rises through (negative 8, negative 0.5), (negative 5, 0), (0, 1), and (5, 2).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Equation

x + 3*x + 5 =33

Solution

4x + 5 = 33

x = 3

4*3 + 5 =? 33

12 + 5 = ? 17         x is not 3

x = 5

4*5 + 5 = ? 33

20 + 5 = 25          x is not 5

x = 7

4*7 + 5 =? 33

28 + 5 = 33             x = 7 is the answer

The value of the variable x will be 7 that holds true for the equation.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

A number is 5 more than 3 times another number.

The sum of the two numbers is 33.

Let the number be x.

Then the another number will be 3x + 5.

Then the equation will be

x + 3x + 5 = 33

Then the value of x will be

4x + 5 = 33

4x = 28

x = 7

Then the value of the variable x will be 7 that holds true for the equation.

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Answer:

100

Step-by-step explanation:

The square root of 10000 can be written as (10000)1/2. Thus,

(10000)^/2 = (100 × 100)^1/2

(10000)^1/2 = [(100)2]^1/2

(10000)^1/2 = (100)^2/2

(10000)^1/2 = (100)^1

So,

√10000 = 100

Answer:

5x - 2 = (-9x) + 8

5x + 9x = 8 + 2

14 x = 10

x = 10 / 14

x = 5/7

Answer:

5 / 7

Step-by-step explanation:

Step 1: Move the variables to one side and the numbers to the other. We get 14x = 10.

Step 2: Then we solve for x. x is equal to 10 / 14, which simplifies to 5 / 7.

Therefore the number of two point baskets = 29 and three point baskets = 13.

A set of equation that have a common factor that satisfies them

It is given in the question that

x = the two point baskets

y = the three point baskets

A basketball team scored a total of 97 points in a basketball game

2x +3 y = 97  

They made a total of 42 two-point and three-point baskets.

x +y = 42

y = 42- x

2x + 3(42-x) = 97

On solving we get x = 29

Two point baskets = 29

and y = 13

Three point baskets = 13

Therefore the solution of the given system of equations are two point baskets = 29 and three point baskets = 13.

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Answer:

28,27,26

sequence=-3

Step-by-step explanation:

Answer:

[tex]\fbox {28, 27, 26}[/tex]

Step-by-step explanation:

Given :

⇒ a = 32

⇒ d = 31 - 32 = -1

Finding next 3 terms :

⇒ 29 - 1 = 28

⇒ 28 - 1 = 27

⇒ 27 - 1 = 26

Answer:

x = 3

TU = 35

UV = 35

TV = 70

Step-by-step explanation:

As U is the midpoint of TV:

⇒ TU = UV

⇒ 8x + 11 = 12x - 1

⇒ 8x + 11 - 11 = 12x - 1 - 11

⇒ 8x = 12x - 12

⇒ 8x - 12x = 12x - 12 - 12x

⇒ -4x = -12

⇒ -4x ÷ -4 = -12 ÷ -4

⇒ x = 3

Substitute the found value of x into the expression for TU:

⇒ TU = 8x + 11

⇒ TU = 8(3) + 11

⇒ TU = 24 + 11

⇒ TU = 35

Using the transitive property of equality:

As UV = TU and TU = 15 then UV = 35

Using the segment addition postulate:

⇒ TV = TU + UV

⇒ TV = 35 + 35

⇒ TV = 70

Hence

Answer:

The boy earned $773 in the fourth month.

Step-by-step explanation:

1) First, we need to find the total amount of money he needs so that the average of the 4 months would be 500. We can do this by multiplying 500 and 4 (essentially, we are working backward when trying to find the average) [tex]500*4=2000[/tex] So, we know that the boy needs $2000 total by the end of the fourth month to make the 4-month average $500.

2) Now, we know how much the boy made for the first 3 consecutive months, so add those numbers up. [tex]435+230+562=1227[/tex] So within the first 3 months, the boy made $1227.

3) Finally, we know how much money the boy needs by the end of the fourth month and how much he made by the third, so to figure out how much he earned in the fourth month, we can simply subtract $1227 from $2000. [tex]2000-1227=773[/tex]

Answer:

A. All squares are rectangles because both are quadrilaterals, have 90-degree angles and the opposite sides are parallel.

Step-by-step explanation:

This is the only true statement because all squares are rectangles just with equal sides, the angles will always be 90-degrees.

Hope this helps!

If not, I am sorry.

For the spider man the discount is of rs600, for the doll the discount is of rs1,000.

We know that the price of the spider-man is rs3,000, and we apply a discount of the 20%.

So the amount of discount for that toy is the 20% of rs3,000, which gives:

(20%/100%)*rs3,000 = rs600

So the amount discounted for the spider-man is rs600.

For the case of the doll, we know that its cost is rs5,000, the amount discounted is:

(20%/100%)*rs5,000 = rs1,000

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__________________________________________________________

[tex]\text{\textbf{Hello!} In this question, we are trying to figure out the \underline{equation} of the line}\\\text{with the given information.}[/tex]
__________________________________________________________

[tex]\textbf{Explanation:}\\\quad{}\\\text{In the question, we were given our \emph{slope} and a \emph{point}.}\quad{}\\\\\text{Slope: -1/3 }\\\\\text{Point: (6, -4)}\\\quad{}\\\text{We can use the information above to help solve our question.}\\\text{In order to find the equation, we will be using the \underline{point-slope formula:}}\\\quad{}\\y - y1 = m(x - x1)\\\quad{}\\\text{With this equation, we would plug in our given values and solve.}\\\\[/tex]
__________________________________________________________

[tex]\textbf{Solve:}\\\\y - y1 = m(x - x1)\quad{}\\\\\text{Plug in -1/3 to m, 6 to x1, -4 to y1 and then solve.}\\\\y - (-4) = -1/3(x - 6)\\\\y + 4 = -1/3x + 2\\\\\fbox{y = -1/3x - 2}[/tex]
__________________________________________________________

[tex]\textbf{Answer:}\\\\\text{Therefore, the equation of the line would be: \fbox{y = -1/3x - 2}}[/tex]
__________________________________________________________

Answer:

Step-by-step explanation:

Remark

An altitude is a very special line. It must start from one of the angles and connect with the side opposite that angle. The connection must form a right angle.

It cannot start anywhere else -- certainly not in the middle of a line which would make the altitude of random importance. It could not be accurately reproduced.

Answer: False

Step-by-step explanation: An expression is a sentence with a minimum of two numbers or variables and at least one math operation.

Expressions do not have an equal sign because they do not have an answer.

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

[tex]Slope=\frac{-2-(-1)}{0-5}[/tex]

==> simplify numerator and denominator

[tex]slope = \frac{1}{-5}[/tex]

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

Answer:

1 & 3

1 & 4

2 & 3

2 & 4

Step-by-step explanation:

Any angles that are next to each other on a straight line will add to 180. If they are across from each other (like 1 & 2 or 3 & 4) those are vertical angles. They are equal.

Answer: Calculus.

Step-by-step explanation: He created calculus.

Answer:

10

Step-by-step explanation:

Evaluate for x=4

[tex]\frac{3(4+4)(4+1)}{(4+2)(4-2)}[/tex]

[tex]=\frac{120}{12}[/tex]

[tex]=10[/tex]

I Hope This Helps :)

Can you Mark Me As Brainliest

Answer:

c

Step-by-step explanation:

3*8*5/（6*2）=10

Answer: 379 meters squared

Step-by-step explanation:

Hello!

So, to calculate this area, we need to split it into 3 squares.

You can see that there is a big square, and on top of the big square, there are 2 smaller ones: one to the left and the other to the right.

Area of a square (in this case rectangle) = Lenght multiplied by width

We got 3 squares, if we calculate the area of each one's, we can add them together and get the total area of the irregular shape.

The first square will be the big one:

To get the length of the big square, we need to subtract 5 from 23.

Length of big square = 18 meters

And the width is also 18 meters

Area of the big square = 18 * 18 = 324 meters squared

Now, let's calculate the top left square's area.

That will be 5 meters * 5 meters.

Area of top left square = 25 meters squared.

Top right square's area = 6 meters * 5 meters.

Area of top right square = 30 meters squared

Now, we just gotta add them all up:

324 + 25 + 30 meters squared = 379 meters squared

Hope I Helped!

Answer:

I have $550; my sister has $300.

Step-by-step explanation:

Let the amount I have be x.

Let the amount my sister has be y.

We have a total of $850, so

x + y = 850

50% of my amount plus 75% of my sister's amount equals $500.

0.5x + 0.75y = 500

We have a system of two equations:

x + y = 850

0.5x + 0.75y = 500

Multiply the second equation by 2 and subtract the first equation from it.

0.5y = 150

y = 300

x + y = 850

x + 300 = 850

x = 550

Answer: I have $550; my sister has $300.

Answer:

1) X² + 1 - 2X

2).x² + 4 - 4x

3) 9 + x² - 6x

4) y² + 16 - 8y

5) 4x² + 1 - 4x

6) 9 + 4y² - 6y

7) 4x² + y²- 8y

8) 1 + 16a² - 8a

9) 9x²+ 4y² - 12xy

10) -x²- 16y² + 8y

11) -x²- 25y + 10xy

The distance travelled by an object is 50 m.

The distance between two points is the length of the path connecting them.

Here, given equation of distance

         S = 1/2 (u + v)t

Where s is the distance traveled by an object (in meters)

initial velocity u (in m/s)

final velocity v (in m/s).

t in seconds.

Now, given values are;

u = 8 m/s ;  v = 12 m/s ;   t = 5 sec.

    S = 1/2 (8 + 12)5

    S = 1/2 (20)5

    S = 100/2

    S = 50 m.

Thus, the distance travelled by an object is 50 m.

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Answer:

Ф = 2pi/3 , 4pi/3

Step-by-step explanation:

1 + cos Ф = 1/2

Subtract 1 from each side

1 + cos Ф -1 = 1/2-1

cos Ф = -1/2

Take the inverse cos of each side

cos^-1 ( cos Ф )= cos^-1(-1/2)

There are two solutions for the inverse cos of (-1/2), 2pi/3  and 4pi/3

 Ф = 2pi/3 +2 npi  

Ф = 4pi/3  + 2n pi  where n is an integer

We are limited to the interval between 0 and 2pi

Ф = 2pi/3 , 4pi/3

The angle BAC will be 29 and the angle BOC will be 58.

The angle in a circle's centre is twice that at its perimeter when two angles are subtended by the same arc. So, angle AOB = 2 angle ACB. Angles that the same arc subtends at its circumference are equal. As a result, angles inside a section are equal.

Here the given angle is ∠BDC = 29 so from the given theorem the angle BEC will be equal to the angle BDC.

∠BDC = 29

The centre angle BOC will be twice the angle at the circumference so the angle will be twice.

∠BOC = 59

Therefore the angle BAC will be 29 and the angle BOC will be 58.

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Answer:

( -10.5 , 0 ) and ( 0 , -21 )

Step-by-step explanation:

→ Determine where a line intersects

x and y intercept

→ Set x equal to 0 to find y - intercept

( 0 , -21 )

→ Set y equal to 0 to find x intercept

0 = -2x - 21

→ Add 21 to both sides

21 = -2x

→ Divide both sides by -2

-10.5 = x