Carol's Phone Service charges $17.62 for an activation fee plus $3 for every gigabyte (g) used. Which of the following graphs models the situation?

Answer:  The picture

Step-by-step explanation: if you mean graph that means graph the coordantes.

on this one, we proceed the same as the other, we start off by graphing them, Check the picture below.  Now, we have a solid horizontal line at y = 7, that'd be our boundary, and a parabola that has a vertex at the origin, that's our other boundary, from 0 to 7.

In this case, is a solid area from the curve to the axis of rotation, so we can simply use the "disk" method to get the volume, lemme do it in the same way as "area under the curve", assuming h(y) = 0 for the axis of rotation

[tex]\textit{area under the curve}\\ \stackrel{f(y)}{2\sqrt{3y}}~~ - ~~\stackrel{h(y)}{0}\qquad \implies 2\sqrt{3y} \\\\\\ \displaystyle\int_{0}^7\pi \left( 2\sqrt{3y} \right)^2 dy\implies \int_{0}^7\pi(12y)dy\implies 12\pi \int_{0}^7 y\cdot dy \\\\\\ 12\pi \cdot \left. \cfrac{y^2}{2} \right]_{0}^7\implies12\pi \cdot \cfrac{49}{2}\implies 294\pi[/tex]

Answer:

y=-3/2 x + 6Step-by-step explanation:

Answer: Karen has 20, Trey has 15, Dante has 40

Step-by-step explanation:

Karen=x+5    Trey=x     Dante=2x+10

            x+x+5+2x+10=75

                 4x+15=75

                   4x=60

                     x=15

Answer:

im not too sure but B

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

I hope this helps!

Answer:

-5

Step-by-step explanation:

The slope of the line in this format is the coefficient of x, or the number in front of x.

Answer:

45

Step-by-step explanation:

just typing this so I'll have 20

Answer: I'd say the best answer is b.

Step-by-step explanation:

Answer:

3/16 as a decimal is equal to 0.1875.

Let's convert the given fraction to a decimal number.

Explanation:

To convert any fraction to decimal form, we just need to divide its numerator by denominator.

Here the fraction is 3/16 which means we need to perform 3 ÷ 16.

So, 3/16 is equal to 0.1875.

Hope that helps you in some way.

Answer:

Step-by-step explanation:

The system of equations can be written ...

  x + y = 36

  x = 2y

__

The system can be solve by substituting for x:

  (2y) +y = 36

  y = 12 . . . . . . divide by 3

  x = 2(12) = 24

There are 24 pairs of Nikes and 12 pairs of Adidas.

Answer:

y = 8

Step-by-step explanation:

Since the y- coordinates of the points are equal, both 8 , then

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

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

The line passes through (- 3, 8 ) and (- 7, 8 ) with y- coordinates 8 , then

y = 8 ← equation of line

Answer:

g(x) = 4x² - x

General Formulas and Concepts:

Algebra II

Functions

Calculus

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                       [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

*Note:

Integrating a piecewise function requires you to integrate both parts.

Step 1: Define

Identify.

[tex]\displaystyle f(x) = \left \{ {{8x - 1 ,\ x \leq 4} \atop {31 ,\ x \geq 4}} \right.[/tex]

[tex]\displaystyle \int {f(x)} \, dx = \left \{ {{g(x) + C ,\ x \leq 4} \atop {31x + C ,\ x \geq 4}} \right.[/tex]

Step 2: Find function g(x)

We can see that the 2nd part of the piecewise function already has been integrated:

To find function g(x), we simply have the same setup:

The integration constant C is already included in the answer, so our answer is g(x) = 4x² - x.

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration (Applications)

Answers:

[tex]I(-2,-1) \to I \ ' \ (-5,-2.5)\\\\J(-1,2) \to J \ ' \ (-2.5,5)\\\\K(2,-1) \to K \ ' \ (5,-2.5)\\\\[/tex]

===============================================

Explanation:

Since the center of dilation is the origin, we multiply each preimage coordinate by 2.5 (which is the scale factor).

For example, the preimage point J(-1, 2) moves to J ' (-2.5, 5)

This will cause the image triangle I'J'K' to be larger than the preimage IJK. Specifically, each side of the image is 2.5 times longer compared to the preimage.

Answer:

i' (-5, -2.5) J' (-2.5, 5) K' (5, -2.5)

Step-by-step explanation:

you just take the original coordinates and multiply them by 2.5

Answer:

190

Step-by-step explanation:

f(1)=8

f(2)=3f((2-1))-2, f(2)=22

f(3)=3f((3-1))-2, f(3)=64

f(4)=3f((4-1))-2, f(4)=190

the answer is c) 39 according to the sequence

The next number 3, 4, 7, 16, 11, 64, is: 55.

A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.

When all the terms of a geometric sequence are added, then that expression is called geometric series.

We are given the series as;

3, 4, 7, 16, 11, 64, …

If we separate the numbers that in order are in the even place of the odd ones, we would have :

3, 4, 7, 16, 11, 64,..

If we finish in 1 then they increase by 1 in 1, while in 2.- they increase in odd numbers, the following number is: 55

The correct option is A.

Learn more about a number pattern:

brainly.com/question/14471389

#SPJ2

Answer:

3 times 1

Step-by-step explanation:

2.75 - 75 or in other words 7 is closer to 10 than 0, so well round it up to the next number, 3.

1.25 - 25 or in others words 2 is closer to 0 than 10, so we'll round it down to the nearest lowest whole number, 1.

our new expression: 3 × 1. hope that helps!

Answer:

Answer:x=79,202.77 ft

Answer:

A. 4

Step-by-step explanation:

i guess it A. 4 i dunno

Four types

All types of python windows are

Answer:

10/9

Step-by-step explanation:

Answer:

solution given:

let's see only in a right-angled triangle Δ ACD.

AC=3 units

AD=5 units

since Δ ACD is a right-angled triangle. It satisfies Pythagoras law

[tex]AD^{2}=AC^{2}+CD^{2}[/tex]

25=9+[tex]CD^2[/tex]

[tex]CD^2[/tex]=25-9=16

[tex]CD=\sqrt{16} =4 units[/tex]

Now

Area of rectangle Δ ACD=[tex]\frac{1}{2} CD*AC=\frac{1}{2}*4*3=6\: square \:units[/tex]

similarly,

[tex]\frac{1}{2} AD*CE=6\: square \:units\\ 5*CE=6*2\\CE=\frac{12}{5}=2.4 units[/tex]

since AB=CE=2.4 units

Δ ACE is a right-angled triangle. It satisfies Pythagoras law.

[tex]AC^{2}=AE^{2}+CE^{2}\\3^2=AE^2+2.4^2\\9-5.76=AE^2\\AE and BC=\sqrt{1.24} =1.11 units[/tex]

now

area of trapezoid=area ofΔACD+Area of ΔABC

=6+[tex]\frac{1}{2}AB*BC=6+\frac{1}{2}*2.4*1.11=6+1.33 =7.33\: square \:units[/tex]

Answer:

Option D

Step-by-step explanation:

Step 1:  Determine the correct option

Option A, this option doesn't work because -3.46 is not greater than -2 1/3.  Although the number 3 is greater than 2, these numbers are negative therefore the bigger the negative number, the smaller the number actually is.

Option B, this option doesn't work because 16/5 is not greater than 6.  If we convert 16/5 into a decimal we get 3.2 and this number isn't bigger than 6.

Option C, this option doesn't work because once again it states that -3.46 is greater than -2 1/3 when in reality it's actually smaller.

Option D, this option does work because everything goes according the way it should.  -3.46 is smaller than -2 1/3 and -2 1/3 is smaller than -3/4 and -3/4 is smaller than 16/5 and 16/5 is smaller than 6.

Answer:  Option D

Answer:

36 is the answer

Step-by-step explanation:

Hope it will help you

Give me some hint please

Answer:

40 degrees

Step-by-step explanation:

Since triangle HJL is isosceles, angle HJL is congruent to HLJ, so it is 75 degrees.

Angle HLM is linear with HLJ, so they add up to 180, so HLM = 105 degrees.

Triangle HLM adds to 180 degrees, so 180 - 35 - 105 = 40

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation: