Zoe mows lawns in the summer to earn extra money. She usually charges $15 per week, but she offers a special rate of $59.50 if a customer prepays for 5 weeks. How much does a customer pay for each week with the special rate? (Please enter your answer without units.) *

Answer:

it's

x^5

Step-by-step explanation:

because the number is x and the power of 5 is the little number that goes to the top right of x

The dimensions of impulse are (M¹L¹T⁻¹).

Impulse is equal to force multiplied by time, or can be formulated as:

P = FT

where:

P = impulse

F = force

T = time

The dimensions of force and time are:

Dimension of Force: (M¹L¹T⁻²)

dimensions of Time: (T).

When you multiply these two quantities together, you get :

P = FT

P = (M¹L¹T⁻²) * (T)

P = (M¹L¹T⁻¹).

Therefore, the dimensions of impulse are (M¹L¹T⁻¹).

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The vertex is (2,14), the axis of symmetry is x = 2, and the x-intercepts are (-1,0) and (5,0).

Given function is \($f(x) = -2x^2 + 8x + 10$\).To find the vertex, axis of symmetry and x-intercepts of the quadratic function \($f(x) = -2x^2 + 8x + 10$\), use a graphing calculator. By using the graphing calculator, we can obtain the following graph.

The quadratic function has its vertex at (2,14) and

the axis of symmetry is the vertical line x = 2.The x-intercepts can be found by setting $y = 0$. Thus, solving the quadratic equation \($f(x) = -2x^2 + 8x + 10 = 0$\) gives the following solutions.\($$-2x^2 + 8x + 10 = 0$$\)Multiply by \($-\frac{1}{2}$\) and

simplify.\($$x^2 - 4x - 5 = 0$$(x-5)(x+1) = 0$$\)

Hence, the x-intercepts are (-1,0) and (5,0).

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Answer:

1/10

Step-by-step explanation:

3/5 + (-1/2) =

= 3/5 - 1/2

= 6/10 - 5/10

= 1/10

Answer:

1/10

Step-by-step explanation:

This is right??

Use the calculator

The rationale underlying the use of projective personality tests, such as the Rorschach test and the thematic apperception test, is that they reveal the subjects' personalities by eliciting responses to vague, ambiguous stimuli.

The rationale underlying the use of projective personality tests, such as the Rorschach test and the Thematic Apperception Test, is that they can reveal a person's unconscious thoughts, feelings, and motivations. These tests use vague and ambiguous stimuli, such as inkblots or pictures, and ask the person to describe what they see or make up a story about the stimuli. The person's responses are believed to reflect their underlying personality traits and psychological conflicts.

The theory is that when faced with ambiguous stimuli, people project their own thoughts, feelings, and motivations onto the stimuli, revealing their unconscious processes.

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Answer:

y = 25

Step-by-step explanation:

\(30=\frac{6}{5} y\\\\\frac{6}{5} y=30\\\\(\frac{6}{5} y)5=30*5\\\\6y=150\\\\\frac{6y=150}{6}\\\\\boxed{y=25}\)

Hope this helps!

Answer:

the correct graph is A

Step-by-step explanation:

Note that the red line passes through (0, 2), which is the y-intercept, b, in y = mx + b.  Thus the correct answer must be A or B, not C or D.

Besides (0, 2), another point on this line is (1, 3).

The increase in x going from 0 to 1 is 1; this is the 'run'.  That in y going from 1 to 3 is 2; this is the 'rise.'  Therefore the slope is m = rise / run = 2/1 = 2.

Thus the correct graph is A; its slope is 2 and its y-intercept is 1.

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

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The vector field J.F.ds for the unit sphere is equal to 4π, which is the volume of the sphere. This is calculated using the divergence theorem, which relates the flux of a vector field over a surface to the divergence of the vector field through the interior of the surface.

The vector field J.F.ds is a measure of the volume of the unit sphere, which is equal to 4π. To calculate this, we use the divergence theorem, which states that the flux of a vector field over a closed surface can be related to the divergence of the vector field through the interior of the surface. Thus, the calculation of the vector field J.F.ds is given by the following equation: ∫∫s J.F.ds = ∫∫V ∇.F dV, where V is the volume of the unit sphere. Plugging in the vector field F and the unit sphere, we get: ∫∫s (x, y, z).(x, y, z) ds = ∫∫V ∇.(x, y, z).(x, y, z) dV = ∫∫V 3 dV = 4π. So the vector field J.F.ds of the unit sphere is equal to 4π.

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Answer:

A

Step-by-step explanation:

\(\lim_{x \to -2} \frac{x^{2}-4 }{x+2} \\\lim_{x \to -2} \frac{(x+2)(x-2)}{x+2}\\ \lim_{x \to -2} x-2\\= -4\)

Answer:

First answer choice

\(- 4\)

Step-by-step explanation:

\(\lim _{x\to \:-2}\left(\dfrac{x^2-4}{x+2}\right)\\\\\\\mathrm{Simplify}\:\dfrac{x^2-4}{x+2}\\\\\\\mathrm{Factor}\:x^2-4:\quad (x + 2)(x - 2)\\\\\lim _{x\to \:-2}\left(\dfrac{x^2-4}{x+2}\right) \\\\= \lim _{x\to \:-2}\left(\dfrac{x+2)(x-2)}{x+2}\right)\)

The x+2 common factor cancels out

\(= \lim _{x\to \:-2}\left(x-2\right)\\\\\text{Plug in the value x= -2}\\\\= -2 - 2\\= -4\)

Answer:

I think it is C) 480

Step-by-step explanation:

320÷2=160

160×3=480

Can I please have Brainliest?

There are 480 calories are in the 3-ounce size of the bar.

Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Green Frog convenience store supplies two types of protein bars.

And, One protein bar has 320 calories in the 2-ounce size.

Now,

For 1 ounce size, calories in One protein bar = 320 / 2

                                                                  = 160

Hence, We get;

For 3 ounce size, calories in One protein bar = 160 x 3

                                                                      = 480

Thus, There are 480 calories are in the 3-ounce size of the bar.

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EXPLANATION

In order to turn -2x + 10y = 2 into slope-intercept form:

First, as we know, the generic slope-intercept form is:

y= mx + b

where m is the slope and b is the y-intercept

Going back to our equation:

-2x + 10y = 2

Adding +2x to both sides:

-2x + 2x + 10y = 2 + 2x

Adding similar terms:

10y = 2 + 2x

Dividing both sides by 10:

10y/10 = 2/10 + 2x/10

Simplifying:

y = 1/5 + x/5 --> Slope-intercept form

Answer:

T can be equal to 1 1/10 or 1.1 or 11/10

Step-by-step explanation:

10t=11

So divide by 10 on both sides.

t=11/10 which can be simplified to t=1 1/10 or t=1.1

:)

Answer:

2125

Step-by-step explanation:

2150-25=2125

Answer:

333.29 cm3

Step-by-step explanation:

h-12

d-6

so r= 3

volume is Ab*h= 9 pi* 12= 108 pi which is around 339.29 cm3

if my answer helps please mark as brainliest.

Answer:

=2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

3 times 2 is 6 and 5 times 2 is 10

Answer:

\(10i\)

Step-by-step explanation:

√(-100)

Use the imaginary number rule  \(i=\sqrt{-1}\)

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

1. The slope of  the equation 1.5x + 2.5y = 18 is 3/5.

2. y = 7.2

3. x = 12.

The slope, m, of an equation can be determined as the ratio of the rise to the run of the line. In the equation that represents the line in slope-intercept form, y = mx + b, the slope is easily identified as "m", while the y-intercept is identified as "b"

Thus, one a graph, the y-intercept is the point where the line intersects the y-axis while the x-intercept is the point where the line crosses the x-axis.

Given the equation, 1.5x + 2.5y = 18, the graph of the equation is shown in the diagram below.

1. Slope (m) = rise/run = 3/5

2. The graph intersects the y-axis at y = 7.2, therefore the y-intercept is 7.2.

3. The line intersects the x-axis at x = 12, thus, the x-intercept is 12.

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Answer:

-x + 4

Step-by-step explanation:

(4x+5)+(−5x−1)

4x+5−5x−1  [Remove the parentheses]

-x + 4           [Combine Like Terms]

Answer:

-x+4

Step-by-step explanation:

Given:

(4x+5)+(−5x−1)

Solution:

To re-write this in it's simplest terms:

Combine like terms:

Hence the simplest form is -x+4.

Done.

The correct interpretation sentences for the TV problem above are:- A total of 500 TVs can be sold if the price is set at $190.

- When the price for the TV is $190, there are 500 TVs sold.

The other sentence "A total of 190 TVs can be sold if the price is set at $500. When the price for the TV is $500, there are 190 TVs sold" is not correct as it has the price and the quantity of TVs sold reversed.

In interpretation, it is important to pay attention to the context and the logic of the problem to ensure that the sentence accurately reflects the information provided. In this case, the correct interpretation sentences reflect the relationship between the price and the quantity of TVs sold. These sentences help to clarify the information and provide a clear understanding of the problem.

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The sequence of transformations that will map figure H onto figure H' is: Option B:  the rotation of 180° about the origin, translation of (x + 10, y − 2), and reflection across y = −6.

We are given the coordinates of the hexagon as:

Points of Hexagon H  →  (2,2), (2,6), (6,7), (8,6), (8,2), (6,1)

Points of Hexagon H' →  (2,-8), (2,-4), (4,-3), (8,-4), (8,-8), (4,-9)

The steps that can be used to transform the hexagon H into hexagon H' are:

Step 1 - Translate the hexagon in the positive x-axis direction by a factor of 10.

Step 2 - Translate the graph obtained in the above step by factor 2 in the downward direction.

Step 3 - Rotate the graph obtained in the above step 180 degrees about the origin.

Step 4 - Then take the reflection of the graph obtained in the above step about y = -6. The resulting graph shows the graph of Hexagon H'.

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Answer:

x + y < 30

y ≥ 12

Step-by-step explanation:

Here, we want to write inequalities

From the question, we are told that there are fewer than 30 cones

Mathematically, we have this as;

x + y < 30

Secondly, at least 12 ( a dozen) large cones are needed

When we talk of at least, we mean it can be greater than but not less than

So the inequality in this case since y represents the number of large cones will be;

y ≥ 12

Answer:

Step-by-step explanation:

The surface area of the part of the plane z = (5/6)x + (4/6)y that lies above the rectangle [1,3] × [1,6] is 10√(77/36).

What is a double integral?

A double integral is a type of integral that extends the concept of a single integral to integrate functions of two variables over a region in a two-dimensional space. It represents the accumulation of a function's values over a two-dimensional region.

To find the surface area of the part of the plane z = 5 6 x 4 y that lies above the rectangle [1, 3] × [1, 6], we can use a double integral over the given region.

Let's define the surface as S, where S is the part of the plane z = 5 6 x 4 y above the rectangle [1, 3] × [1, 6].

The surface area can be calculated using the following double integral:

A = ∬S dA

where dA represents an infinitesimal area element.

To set up the integral, we need to parameterize the surface S in terms of two variables, say u and v.

Let's set u = x and v = y, then we can express the surface equation z = 5 6 x 4 y as z = 5 6 u 4 v.

The limits of integration for u and v will be the boundaries of the rectangle [1, 3] × [1, 6].

Therefore, the integral becomes:

A = ∫[1,3] ∫[1,6] √(1 + (∂z/∂u)² + (∂z/∂v)²) du dv

To find (∂z/∂u) and (∂z/∂v), we differentiate z = 5 6 u 4 v with respect to u and v:

(∂z/∂u) = 5 6 * 4 v = 10 3 v

(∂z/∂v) = 5 6 * u 4 = 5 6 u 4

Now, we substitute these values into the integral:

A = ∫[1,3] ∫[1,6] √(1 + (10/3v)² + (5/6u)²) du dv

Simplifying the integrand:

A = ∫[1,3] ∫[1,6] √(1 + 100/9v² + 25/36u²) du dv

The equation of the plane is given as z = (5/6)x + (4/6)y, which can be rewritten as z = (5/6)x + (2/3)y.

To find the surface area, we need to integrate the square root of the sum of the squares of the partial derivatives of z with respect to u and v, multiplied by the differential element du dv.

Let's proceed with the calculation step by step.

The partial derivative of z with respect to u is:

(∂z/∂u) = 5/6

The partial derivative of z with respect to v is:

(∂z/∂v) = 2/3

Now, we can calculate the integrand:

√(1 + (∂z/∂u)² + (∂z/∂v)²) = √(1 + (5/6)² + (2/3)²) = √(1 + 25/36 + 4/9) = √(36/36 + 25/36 + 16/36) = √(77/36)

The integral for the surface area becomes:

A = ∫[1,3] ∫[1,6] √(77/36) du dv

Since the integrand is constant, we can take it outside the integral:

A = √(77/36) ∫[1,3] ∫[1,6] du dv

Evaluating the inner integral with respect to u over the range [1,3]:

A = √(77/36) ∫[1,3] (u) dv = √(77/36) [u][1,3] v = √(77/36) (3 - 1) [v][1,6] = 2√(77/36) [v]_[1,6]

Now, we evaluate the outer integral with respect to v over the range [1,6]:

A = 2√(77/36) [v]_[1,6] = 2√(77/36) (6 - 1) = 10√(77/36)

Therefore, the surface area of the part of the plane z = (5/6)x + (4/6)y that lies above the rectangle [1,3] × [1,6] is 10√(77/36).

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Answer:

its 5+x=12 but not sure.

Answer:

The answer is "25".

Step-by-step explanation:

Please find the graph in the attachment.

\(Longest \ side= 12\)

Calculating the triangle two other sides:

\(=\sqrt{3^2+6^2}\\\\=(9+36)\\\\=45\)

let

\(\to \sqrt{45}= 6.7.\\\\\to 6.7\times 2=13.4\\\\\to 13.4+12=25.4 \approx 25\)

The interest rate that would be required in order for Sarah to end up with $121,000 is R=6.1%

Compound interest, often known as interest on principal and interest, is the adding of interest to the loan or deposit principal. It occurs when interest is reinvested, added to the lent capital instead of being paid out, or the borrower is required to pay it, resulting in the next period's interest being generated on the principal amount plus any accumulated interest. Finance and economics both use compound interest frequently.

compound interest allows for the accumulation of interest from prior periods.

Given that Sarah is going to invest $79,000 and leave it in an account for 7 years.

We have to assume that the interest is compounded quarterly then,

A=P\((1+(R/400))^{4n}\)

121000=79000\((1+(R/400))^{28}\)

(121000/79000)=\((1+(R/400))^{28}\)

\((1.53)^{1/28}\)= \((1+(R/400))\)

1.0153=\((1+(R/400))\)

0.0153=R/400

R=6.1372

R=6.1%

Therefore, the interest rate is R=6.1%

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Yes, we can use a normal model for the sampling distribution of differences in proportions in the study conducted at West Virginia University Hospital on smoking behaviors among cancer survivors.

To use a normal model for the sampling distribution of differences in proportions, we need to meet the following conditions:
1. Both samples are independent.
2. The sample sizes are large enough (n₁ and n₂ are both greater than or equal to 30).

In this case:
- There are 95 female respondents (n₁ = 95) with a current smoker rate of 11.6% (p₁ = 0.116).
- There are 67 male respondents (n₂ = 67) with a current smoker rate of 10.4% (p₂ = 0.104).

Since both sample sizes are greater than 30, we can use a normal model for the sampling distribution of differences in proportions.

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Answer:

15 bucks

Step-by-step explanation:

200*.025*3