1. Children must be at most 36 inches tall to ride the kiddie roller
coaster. Let h = the height required to ride the kiddie roller coaster.

2. The gym can seat a maximum of 1200 people.
Let n = the number of people who can sit in the gym.

3. Children must be at least 13 to go to a PG-13 rated movie.
Let a = the age you must be to attend a PG-13 movie.

Answer:

The value of n = 1/4

Step-by-step explanation:

Given : the value of k = 99

K=100-4n ..i)

putting the value of k = 99 in equation ..i)

=> 99 = 100 -4n

=> 99 -100 = -4n

=> -1 = -4n

=> 1/4 = n

Answer:

K = -296

Step-by-step explanation:

K = 100 - 4n

K = 100 - 4(99)

K = 100 - 396

K = -296

The total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Closing costs of a mortgage are the extra expenses that property buyers and sellers usually incur in a real estate transaction.

Some of the closing costs include:

Question Completion and Calculations:

Application Fee $252

Borrower’s Credit Check $65

Points 2.00% of Mortgage = $8,400 ($420,000 x 2%)

Appraisal Fee $325

Title Search $212

Title Insurance $410

Inspection $350

Attorney Fee $450

Documentation Stamp 0.30% of Mortgage = $1,260 ($420,000 x 0.30%)

Processing Fee 1.10% of Mortgage = $4,620 ($420,000 x 1.1%)

Total closing costs = $16,344

Mortgage loan = $420,000

Total amount of financing required = $436,344 ($420,000 + $16,344)

Thus, the total amount of the mortgage for Jack and Dina King if the closing costs are financed is $436,344.

Learn more about closing costs of mortgages at https://brainly.com/question/23894292

Step-by-step explanation:

Dog weight on the moon = A

Directly proportional

200/32 = 50/A

A = 8 pound

Answer:

that can help because all you need to remember is that the sum of the angles in a triangle is half of the sum of the angles that add up in a quadrilateral.

Answer:

mukaka

Step-by-step explanation:   so you find the 5 packages and the 8 divide the mukaka by the numbers weve got with the answer.

Answer:

chord divides a circle into two segments

Step-by-step explanation:

please consider as brainlest if i helped yoy

Answer:

Two

Step-by-step explanation:

A chord divides a circle into two segments

Answer:51.16

I hope this works for you.

The position function for the given object is:

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

Here we know that:

a(t) = -40 m/s^2

v(0) = 18 m/s

s(0) = 0m

So, we know the acceleration, the initial velocity, and the initial position.

To get the velocity equation we need to integrate the acceleration equation, we will get:

v(t) = (-40 m/s^2)*t + C

Where C is the constant of integration, which we know that is the initial velocity, then:

v(t) =  (-40 m/s^2)*t + 18m/s

Now, to get the position equation, we need to integrate again:

s(t) = (1/2)*(-40 m/s^2)*t^2 + (18m/s)*t + s(0)

s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

So, the position function, is: s(t) = (-20 m/s^2)*t^2 + (18m/s)*t

If you want to learn more about motion equations, you can read:

https://brainly.com/question/19365526

Answer:

x = 5

Step-by-step explanation:

70 - 4x = 30 + 4x

Add 4x on both sides of the equation,

70 - 4x + 4x = 30 + 4x + 4x

70 = 30 + 8x

Subtract 30 from both sides of the equation to isolate 8x,

70 - 30 = 30 + 8x - 30

40 = 8x

Divide both sides of the equation by 8 to solve for x,

40 ÷ 8 = 8x ÷ 8

5 = x

Answer:

= 5 groups.

Step-by-step explanation:

    2. Substitute the equation

                        = 5 groups.

Answer:

Congrates

Step-by-step explanation:

Based on the cashflow of Project M and its appropriate cost of capital, the NPV can be calculated to be $465.92.

The NPV is the present value of the cash inflows less the present value of the cash outflows.

= ∑ (Cash inflow / (1 + cost of capital) ^ year of inflow) - Cost outflow

Solving gives:

= 610 / 1.07 + 740 / 1.07² + 780/ 1.07³ + 860/1.07⁴ + 360 / 1.07⁵ - 2,300

= $465.92

Find out more on Net Present Value at https://brainly.com/question/22785007.

Answer:

Either the variable or unknown number, it depends on what options you have.

[tex]6y^2(y^2+6y+9)\\\\=6y^2(y^2+2\cdot 3 \cdot y + 3^2)\\\\=6y^2(y+3)^2\\\\=6y^2(y+3)(y+3)[/tex]

The sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.

The formula for finding the MOE:

[tex]\rm MOE = Z{score}\times\frac{s}{\sqrt{n} }[/tex]

Where    is the z score at the confidence interval

            s is the standard deviation

            n is the number of samples.

We have:

MOE = 5% = 0.05 and

[tex]\alpha = 1-0.9 \Rightarrow 0.1[/tex]

Let's assume the value of p = 0.5, and q = 0.5

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.5\times 0.5\frac{1.64^2}{0.05^2}[/tex]

n = 268.96 ≈ 269

For part(b)

The value of p = 0.23, and q = 0.77

From the table:

[tex]\rm Z_{\alpha/2}\Rightarrow Z_{0.1/2}\Rightarrow Z_{0.05}\Rightarrow 1.64[/tex]

[tex]\rm n = p\times q \frac{Z^2_{\alpha/2}}{MOE^2}[/tex]

[tex]\rm n = 0.23\times 0.77\frac{1.64^2}{0.05^2}[/tex]

n = 190.53  ≈ 191

Thus, the sample size for the part (a) is 269, and the sample size for part (b) is 191 if a margin of error of 5 percentage points and use a confidence level of 90%

Learn more about the Margin of error here:

brainly.com/question/13990500

#SPJ1

Answer:

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Step-by-step explanation:

Here,

Height of cone (h) = 14 m

Radius of cone (r) = 5 m

[tex]V_{cone}= \frac{1}{3}\pi r^2 h[/tex]

Plugging in the values of h and r in the above formula, we find:

[tex]V_{cone}= \frac{1}{3}(3.14)(5)^2 (14)[/tex]

[tex]V_{cone}= 366.333333\: cm^3[/tex]

[tex]V_{cone}\approx366.33\: cm^3[/tex]

Answer:

check photo for detailed analysis

Answer:

[tex]\sin x = 1-\sqrt 2[/tex]

Step by step explanation:

[tex]~~~\sin^2 x -2 \sin x=1\\ \\\implies \sin^2 x-2 \sin x +1^2 = 1+1\\\\\implies (\sin x - 1)^2 =2\\\\\implies \sin x -1=\pm \sqrt 2\\\\\implies \sin x = 1\pm\sqrt 2\\\\\text{Since}~ -1\leq \sin x \leq 1, ~~ \sin x = 1-\sqrt 2[/tex]

Answer:

To answer your question m8 it would be $30

Step-by-step explanation:

60 students times 3 is 180 and subtract that by 150, you get 30.

Answer:

I'm pretty sure the answer would be marked wrong.

Step-by-step explanation:

Answer:

9/20

Step-by-step explanation:

[tex]-\frac{1}{5} (-2\frac{1}{4} )\\\\-\frac{1}{5} (-\frac{9}{4} )\\\\\frac{9}{20}[/tex]

I hope this helps

Answer:

48 square units

Step-by-step explanation:

area of triangle = base * height / 2

base = x+1

height = 8x

area = (x+1)(8x)/2 = (8x²+8x)/2 = 4x²+4x

area of rectangle = length * width = (5x+1)(x) = 5x²+x

set the two areas to be equal to each other

5x²+x = 4x²+4x

divide both sides by x as that is a multiple of each value on each side

5x + 1 = 4x + 4

subtract 4x from both sides to limit the variable to one side

x + 1 = 4

subtract both sides by 1 to isolate the variable

x = 3

area = (5x+1)(x) = (5*3+1)(3) = 16 * 3 = 48 square units

Answer:

[tex]4116\; {\rm ft^{3}}[/tex], assuming that the two cylinders are of the same height.

Step-by-step explanation:

The volume of a cylinder of radius [tex]r[/tex] and height [tex]h[/tex] is [tex]\pi\, r^{2}\, h[/tex].

If the two cylinders are of the same height [tex]h[/tex], the volume of the two cylinders would be proportional to the square of their radii.

Let [tex]r_{0}[/tex] and [tex]V_{0}[/tex] denote the radius and volume of the smaller cylinder. Similarly, let [tex]r_{1}[/tex] and [tex]V_{1}[/tex] denote the radius and volume of the larger cylinder. Assuming that the height of both cylinders is [tex]h[/tex]:

[tex]V_{1} = \pi\, {r_{1}}^{2}\, h[/tex].

[tex]V_{0} = \pi\, {r_{0}}^{2}\, h[/tex].

Hence, [tex](V_{1}) / (V_{0})[/tex] (ratio between the volume of the larger cylinder and the volume of the smaller cylinder) would be:

[tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{\pi\, {r_{1}}^{2}\, h}{\pi\, {r_{0}}^{2}\, h} =\frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex].

In this question, it is given that:

Rearrange the equation [tex]\begin{aligned}\frac{V_{1}}{V_{0}} &= \frac{{r_{1}}^{2}}{{r_{0}}^{2}}\end{aligned}[/tex] to find an expression for [tex]V_{1}[/tex], volume of the larger cylinder:

[tex]\begin{aligned}V_{1} &= \frac{{r_{1}}^{2}\, V_{0} }{{r_{0}}^{2}} \\ &= \frac{{(7\; {\rm ft})}^{2}}{{(3\; {\rm ft})}^{2}} \times (756\; {\rm ft^{3}}) \\ &= 4116\; {\rm ft^{3}} \end{aligned}[/tex].

Answer:

For ur information...

Area can never be negative

It will always be positive

Answer:

40/169

Step-by-step explanation:

Answer:

1. The size of shift from function f to function g is -12

2. The plot of the points of a function that is shifted only half as much as g from the parent function f is in the attached file in blue color.

Step-by-step explanation:

Parent function: f(x)=2^x

x=0→f(0)=2^0→f(0)=1

x=1→f(1)=2^1→f(1)=2

x=2→f(2)=2^2→f(2)=4

x=3→f(3)=2^3→f(3)=8

x=4→f(4)=2^4→f(4)=16

Size of the shift from function f to function g: s

s=g(0)-f(0)=-11-1→s=-12

s=g(1)-f(1)=-10-2→s=-12

s=g(2)-f(2)=-8-4→s=-12

s=g(3)-f(3)=-4-8→s=-12

s=g(4)-f(4)=4-16→s=-12

Points of a function h that is shifted only half as much as g from the parent function, f. Use the same x- values as used in the table for function:

s2=s/2→s2=(-12)/2→s2=-6

x   h(x)

0   1+(-6)=1-6=-5  

1    2+(-6)=2-6=-4

2   4+(-6)=4-6=-2

3    8+(-6)=8-6=2

4    16+(-6)=16-6=10

Answer:
Well I mean There  are multiple solutions I think, a = 26.25

Step-by-step explanation:

Simplifying

12a + 7c = 315

Solving

12a + 7c = 315

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7c' to each side of the equation.

12a + 7c + -7c = 315 + -7c

Combine like terms: 7c + -7c = 0

12a + 0 = 315 + -7c

12a = 315 + -7c

Divide each side by '12'.

a = 26.25 + -0.5833333333c

Simplifying

a = 26.25 + -0.5833333333c

[tex]12a+7c=315\\\\\implies 12a = 315-7c\\\\\implies a = \dfrac{315-7c}{12}\\\\\implies a = \dfrac{7}{12}(45-c)[/tex]

Answer:

Hey thats my name!! Anyways sorry I cant help you unless you give the options.

Step-by-step explanation:

Answer:

make a stem and leaf plot as it says

Step-by-step explanation:

answer it yourself