From net earnings of $740 per month for the rent on an apartment she says the two friends what percent of income is her rent payment

The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

A geometric sequence is a sequence of numbers obtained by either  multiplying or dividing by the same value.

The geometric sequence given is

640, 160, 40, 10, ...

Each number is divided by 4

So the nth term will be

[tex]\rm T_n = a_1 r^{n-1}[/tex]

where [tex]\rm a_1 \; is \; the \; first \; term[/tex]

and r is the common ratio

r =(1/4) for this sequence

The function is

[tex]\rm T_n = 640(\dfrac {1}{4})^{n-1}[/tex]

As from the function it can be understood , That The graph will show exponential decay and The domain will be the set of natural numbers.

Option C and D will apply.

To know more about Geometric Sequence

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The sequence is a geometric sequence showing exponential decay with a factor of 0.25 (divisible by 4). The graph will show exponential decay and not appear linear. The domain is the set of natural numbers, while the range consists of specific values from the sequence, not all natural numbers.

The sequence given is 640, 160, 40, 10, ..., which is a geometric sequence. We can determine this because each term is obtained by multiplying the previous term by a constant factor.

In this case, each term is divided by 4 to get the next term (160 is 640 divided by 4, 40 is 160 divided by 4, and so on). Therefore, the common ratio r is ¼ or 0.25, which is less than 1.

Now, let’s evaluate the statements provided:

So, the correct statements are that the graph will show exponential decay and the domain will be the set of natural numbers.

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Answer:

[tex]3x+7[/tex]

Step-by-step explanation:

[tex]\frac{3x^2-14x-49}{x-7}[/tex]

before dividing this fraction , lets factor the numerator

[tex]3x^2-14x-49[/tex]

Product is -49 and sum is -14, lets break the middle term using factors

[tex](3x^2+7x)+ (-21x-49)[/tex]

Take out GCF from each group

[tex]x(3x+7)-7(3x+7)[/tex]

[tex](3x+7)(x-7)[/tex]

Now we replace the factors in the numerator

[tex]\frac{(3x+7)(x-7)}{x-7}[/tex]

We have (x-7) at the top and bottom , so we cancel it out

[tex]3x+7[/tex]

The distance traveled by the ball until it stops bouncing is:

                                   18 meters

It is given that:

a ball bounces from a height of 2 meters and returns to 80% of its previous height on each bounce.

This means that the distance traveled by the ball is the distance it travels by going down as well as coming up on bouncing.

and is given as follows:

[tex]\text{Total Distance}=2+0.8\times 2\ up+0.8\times 2\ down+(0.8)^2\times 2\ up+(0.8)^2\times 2\ down+.....\\\\\text{Total distance}=2+4\times (0.8)+4\times (0.8)^2+4\times (0.8)^3+....\\\\\text{Total distance}=2+4\times [0.8+(0.8)^2+(0.8)^3+......]\\\\\text{Total distance}=2+4\times (\dfrac{0.8}{1-0.8})[/tex]

Since, the formula of infinite geometric progression is:

[tex]\sum_{n=1}^{\infty} ar^{n-1}=\dfrac{a}{1-r}[/tex]

i.e.

[tex]\text{Total distance}=2+4\times (\dfrac{0.8}{0.2})\\\\\text{Total distance}=2+4\times 4\\\\\text{Total distance}=2+16\\\\\text{Total distance}=18\ \text{meters}[/tex]

Answer:

the root of 13

Step-by-step explanation:

d/dx (2 x^2 y + y = 2x + 13) 4xy + 2x^2 y' + y' = 2 4xy + y'(2x^2 + 1) = 2 y' = (2- 4xy)/(2x^2 +1)

ow we can use this in a linear equation for a slope Ty = -5x/8 +5(3)/8 +8/8 = -5x/8 +(15+8)/8 = -5x/8 +23/8 this will gives us an approximation at x=2.8 now

ANSWER:

y ≈ (-10/19)*(2.8 - 3) + 1 = 1 2/19 ≈ 1.105

STEP-BY-STEP EXPLANATION:

y = (2x+13)/(2x^2+1)

y' = ((2x^2+1)*(2) - (2x+13)(4x)) / (2x^2+1)^2

at x=3, this is

y'(3) = (19*2 - 19*12)/19^2 = -10/19

So, your linearization is

y ≈ (-10/19)*(x-3) + 1

At x=2.8, this is

y ≈ (-10/19)*(2.8 - 3) + 1 = 1 2/19 ≈ 1.105

Answer:

D isn't the correct answer. It's "It shrinks the graph vertically to 1/2 its original height."

Step-by-step explanation:

I'm not sure why though this is right because I graphed it, and I don't see how that could be the right answer.

Answer:

Option A - It shrinks the graph vertically to 1/2 its original height.

Step-by-step explanation:

Given : In the function [tex]y=\frac{1}{2} x^2[/tex]

To find : What effect does the number [tex]\frac{1}{2}[/tex] have on the graph, as compared to the graph of the function [tex]y=x^2[/tex] ?

Solution :

The parent function is [tex]y=x^2[/tex]

We have given that  [tex]\frac{1}{2}[/tex] number is multiply to the parent function.

When the unit is multiply to the function gives you vertical stretch or compression

i.e, f(x)→ bf(x), o<b<1 then the function is vertically compressed.

[tex]y=\frac{1}{2} x^2[/tex] As  [tex]0<\frac{1}{2}<1[/tex] means there is vertical compression or shrinks.

Therefore, Option A is correct.

It shrinks the graph vertically to 1/2 its original height.

To solve systems of equations, select a method based on the system's setup; using substitution, we solve the given system and find the solution to be (2, 0).

When solving systems of equations, one must choose the method that best fits the problem's constraints. Methods include substitution, elimination, and graphing. The method selected often depends on how the equations are presented and which method allows for the most straightforward calculation.

Choosing the system –y + 3x = 6 and y = –6x + 12, we can solve it using substitution since the second equation is already solved for y:

Our solution is (x, y) = (2, 0).

Answer: C) The image is along the same ray as the preimage but is closer to the center of dilation.

For this case, the first thing we must do is define variables.

We have then:

x: time in minutes

y: distance traveled.

We then have the following equations:

For Kathleen:

[tex] y = (\frac{1}{15}) x + 5
[/tex]

For Arnob:

[tex] y = (\frac{2}{15}) x
[/tex]

By the time Arnob reaches Kathleen we have:

[tex] (\frac{1}{15}) x + 5 = (\frac{2}{15}) x
[/tex]

From here, we clear the value of x.

We have then:

[tex] (\frac{2}{15}) x - (\frac{1}{15}) x = 5
[/tex]

[tex] (\frac{1}{15}) x = 5

x = (15) * (5)

x = 75 min
[/tex]

Answer:

it takes Arnob to catch up to Kathleen 75 minutes:

d. 75

There were about 1194 students at Marita's school last year.

To find the number of students last year when the current number is 1170 and represents 98% of last year's number, you can set up a simple equation.

Let "x" represent the number of students last year.

According to the given information, the current number of students is 98% of last year's number, which can be expressed as:

1170 = 0.98x.

To find the value of "x," you need to divide 1170 by 0.98:

[tex]\(x = \frac{1170}{0.98} = 1193.877\).[/tex]

Rounding to the nearest whole number, last year's number of students was approximately 1194.

So, there were about 1194 students at Marita's school last year.

Answer: The value of x is 12.5°.

Step-by-step explanation:

Since we have given that

ΔLMN ≅ ΔHIJ

So, According to "Congruency rules":

∠L = ∠H  -------------------------------------(1)

∠M = ∠I

∠N = ∠J

∠M = 65° , ∠L = 35° and ∠H = (2x+10)°

From eq(1), we get that

[tex]2x+10=35^\circ\\\\2x=35-10\\\\2x=25\\\\x=\dfrac{25}{2}\\\\x=12.5^\circ[/tex]

Hence, The value of x is 12.5°.

Answer:

A=2000(1+0.05)^4=2,431.01

Step-by-step explanation:

The result of dividing 4241 by 57 is approximately 74.40.

To divide 4241 by 57, we perform the division as follows:

       74

  ____________

57 | 4241

    - 3996

    _______

       245

      - 228

      ______

        170

       -  171

       ______

            -1

The quotient is 74 with a remainder of 1.

Therefore, [tex]\( \frac{4241}{57} = 74 \)[/tex].40 with a remainder of 1.

Complete question:

What is 4241 divided by 57?

Answer:

C

Step-by-step explanation:

I took test on Edg

Answer:

Its false

Step-by-step explanation:

well first i pt the answer in and it came out correct.