Assume that Quick Release lets go of the ball 6 feet above the ground and the receiver
catches it 6 feet above the ground. The ball reaches a maximum height of 16 feet above
the ground halfway to the receiver. Write an algebraic rule that models the path of the
football. Show all your work and explain your reasoning.

Answer: -310

Step-by-step explanation:

-1240÷4

Answer:

Step-by-step explanation:

Factorize the expression.

Sum = 7

Product = 12

Factors = 4 , 3

4 + 3= 7 & 4*3 = 12

x² + 7x + 12 = x² + 4x + 3x + 4*3

                 = x(x + 4) + 3(x + 4)

                 = (x + 4)(x + 3)

Sum = -1

Product = -12

Factors = (-4) , 3

(-4) + 3 = (-1)   & (-4)*3 = -12

x² - x - 12 = x² - 4x + 3x - 4*3

               = x(x - 4) +3(x - 4)

               = (x -4)(x +3)

[tex]\sf \dfrac{x^{2}+7x+12}{x^{2}-x-12}=\dfrac{(x+4)(x + 3)}{(x -4 )(x + 3)}\\\\\bf \text{(x +3) in the numerator and denominator will get cancelled}[/tex]

                   [tex]=\dfrac{x+4}{x-4}[/tex]

Answer:

B

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

10 = 3

? 1 cross product

10/3=3.33

The accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.

The Net Present Value (NPV) is a corporate finance technique for analyzing the viability of an investment or a firm. It's the disparity between the anticipated cash flows and the initial investment. Let's look more closely at NPV.

We can calculate the accounting rate of return as follows:

Accounting rate of return = (Annual net Income/ Average Investment)×100

=(30,324/399,000)×100

= 7.6%

For Payback period:

Payback = Initial investment/ Annul cash flow

Annual cash flow = Annual net income + Depreciation

Deprecition = cost - salvage value/useful life

= (399,000-48,000)/9

= $39,000

Annual cash flow = 30,324 + 39,000 = 69324

Payback= 399,000/69324

= 5.755 years

For NPV:

NPV = Total present value of investment - initial investment

= 69324×PVIFA(8%, 9 years)+48,000×PV(8%, 9 years) - 399,000

= 69324×6.2469+24,011.95 - 399,000

= $58,072

For Net value recalculate if the cost of capital is 11%

NPV = Total present value of investment - initial investment

= 69324×PVIFA(11%, 9 years)+48,000×PV(11%, 9 years) - 399,000

= 69324×5.5370+18,764.39 - 399,000

= 3610.988

= $3611

Thus, the accounting rate of return is 7.6%, the payback period is 5.755 years, the Net present value is $58,072, and the net present value(11%) is $3611.

Learn more about the NPV here:

https://brainly.com/question/14476381

#SPJ1

Answer:

a: 3/2, -2 b: 1/5, -1/2 c: 3/2, -4

Step-by-step explanation:

a: 2x^2+x=6

Subtract 6 from both sides.

2x^2+x−6=6−6

2x^2+x−6=0

Factor left side of equation.

(2x−3)(x+2)=0

Set factors equal to 0.

2x−3=0 or x+2=0

b: 10a^2+3a=1

Subtract 1 from both sides.

10a^2+3a−1=1−1

10a^2+3a−1=0

Factor left side of equation.

(5a−1)(2a+1)=0

Set factors equal to 0.

5a−1=0 or 2a+1=0

c: 2c^2+5c=12

Subtract 12 from both sides.

2c^2+5c−12=12−12

2c^2+5c−12=0

Factor left side of equation.

(2c−3)(c+4)=0

Set factors equal to 0.

2c−3=0 or c+4=0

#1

#2

#3

Answer:

Give two equivalent ratios of 6 : 4. 6 : 4 = 6/4 So, equivalent ratios are 6/4 × 2/2 = 12/8 = 12:8 6/4 × 3/3 = 18/12 = 18:12 So, 6 : 4 = 12 : 8 = 18 : 12

Step-by-step explanation:

Answer:

13.9 inches

Step-by-step explanation:

To find the height on this question i multiplied 12.8 by 4 and got 51.2 then divided 711.68 by 51.2 and got 13.9.

Answer:

Expert's answer

let x denote the number of tires.

x~N(36500,50002)

z=\frac{x-\mu}{\sigma}

σ

x−μ

a) P(x>40000)

z=\frac {40000-36500}{5000}

5000

40000−36500

=0.7

we check the value of p(z>0.7) from the z tables.

=0.24196

24.2% of the tires can be expected to last more than 40000 miles.

b) P(z<0.1)

the value of \phi ^{-1}(0.1)ϕ

−1

(0.1) =-1.28

z=\frac{x-\mu}{\sigma}z=

σ

x−μ

-1.28=\frac{x-36500}{5000}−1.28=

5000

x−36500

=30100 miles

BRAIN LESS ANSWER IS CORRECT

Answer:

130.488

Step-by-step explanation:

if the extra numbers aren't there don't worry they just don't count them its 130.

HOPE THIS HELPED!!!!!

PLEASE LEAVE A LIKE AND 5 STARS'':)

Answer:

4,000

Step-by-step explanation:

The individual places of the number are listed below:

Ten Thousands - 30,000
Thousands - 4000
Hundreds - 700
Tens - 10
Ones - 2

From this, we can see that the total value of 4 is 4000.

hope this helps! have a good day.

Answer:

[tex]x = \frac{2}{21} [/tex]

Step-by-step explanation:

That's the correct answer

Step-by-step explanation:

What did u want

Rewriting in standard form:

[tex]2x - 6y = - 21[/tex]

X - intercept:

[tex]x = - \frac{21}{2} [/tex]

y intercept:

[tex]y = \frac{7}{2} [/tex]

y = 1/3x + 7/2

so the slope is 1/3

Answer:

Step-by-step explanation:

Finding the center.

The general formula for a circle is

(x - a)^2 + (y - b)^2 = r^2

The center is a and b. The center is marked as (6,5)

So the equation becomes

(x - 6)^2 + (y - 5)^2 = r^2

Finding the radius

The radius is found by calculating the distance between the center and any point on the circumference.

The point given on the circumference is (8,8)

x1 = 8

x2 = 6

y1 = 8

y2 = 5

r^2 = (8 - 6)^2 + (8 - 5)^2

r^2 = 2^2 + 3^2

r^2 = 4 + 9

r^2 = 13                            

Answer

(x - 6)^2 + (y - 5)^2 = 13

Answer:

43.96

Step-by-step explanation:

2 x 7 x 3.14 = 43.96

Answer:

44 rounded to nearest whole.

[tex]C = 2\pi r = 2 * \pi * r(7) = 44~in[/tex]

Answer:

[tex]9a^3[/tex]

Step-by-step explanation:

Step 1:  Determine the simplified form

[tex](3a)^{3}[/tex]

[tex](3^{3}a^{3})[/tex]

[tex]9a^3[/tex]

Answer:  [tex]9a^3[/tex]

Answer:

  $7045.82

Step-by-step explanation:

The formula for the balance of an account earning interest at rate r compounded continuously for t years is ...

  A = Pe^(rt)

We want to find P, given the other parameters in this formula.

__

  38956.06 = P(e^(0.09×19)) = P(5.52896148)

  P = 38956.06/5.52896148 ≈ 7045.82

The amount of the initial investment was about $7045.82.

Answer:

[tex] c^{-1}d^7 [/tex]

Step-by-step explanation:

You are multiplying factors with the same base, so add the exponents of the same base.

c^0d^7 × c^-1d^0 = c^0c^-1 × d^7d^0 = c^(0-1)d(7+0) = c^-1d^7

Answer: (dc)⁶

Step-by-step explanation:

Apply exponent rule: a⁰=1

This means c⁰=1 and d⁰=1 leaving the equation d⁷·c⁻¹

This then becomes d⁷/c though since they don't want a denominator we will have to change it.

Apply quotient rule of exponents: aᵇ÷aⁿ=aᵇ⁻ⁿ

This leaves us with (dc)⁶

Answer:

Step-by-step explanation:

Total paycheck before taking out taxes and insurance :

38×15 = 570

Left Amount of money after applying taxes :

570 - 570×(p/100)

= 570×[1 - (p/100)]

= 570×[(100-p)/100]

= (570/100) × [100 - p]

= 5.7 × [100 - p]

After taking out  the insurance amounts we can write this equation:

.,7 × [100 - p] - (35+4) = 462.6

⇔ 5.7 × [100 - p] - 39 = 462.6

⇔ 5,7 × [100 - p] = 462.6 + 39

⇔ 5,7 × [100 - p] = 501.6

⇔ 100 - p = 501.6/5.7

⇔ 100 - p = 88

⇔ p = 100 - 88

⇔ p = 12

Answer:

  (D)

Step-by-step explanation:

The area of a rectangle is the product of length and width. We can solve this formula to find the width:

  A = LW

  W = A÷L . . . . . . divide both sides of the equation by L

__

For the given area and length, this looks like ...

  [tex]W=\boxed{\dfrac{1}{2}\div\dfrac{2}{3}}[/tex]

hope this helps...

Answer:

4

Step-by-step explanation:

t + s - r

where,

r=13

s=10

t=7

u=15

substituting

7+10-13 =17-13 =4

Hey there!

t + s - r

= 7 + 10 - 13

= 17 - 13

= 4

Therefore, your answer might be:

Option B. 4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

First, if we look at these angles, we can see that they are vertical.

Vertical angles are congruent(meaning they measure the same degrees).

So let's set up an equation where -2x - 6 is equal to 40°, because they are vertical angles.

-2x - 6 = 40°

Solve for x!

Get rid of constants by performing the inverse operation of subtraction which is addition(because 6 is negative).

Make sure to apply this to both sides!!

(Add 6 to both sides)

+6           +6

-2x = 46

Now, we isolate x by getting of x's co-efficient.

To do that, we also perform the inverse operations.

The inverse operation of multiplication is division (since -2 is being multiplied by x).

(Divide -2 from both sides)

÷ -2 ÷ -2

x = -23

Therefore, x measures -23°.

Answer:

x = -23

Step-by-step explanation:

Vertical Angle Theorem

A pair of opposite angles formed by intersecting lines.

Vertical angles are congruent.

⇒ -2x - 6 = 40

Add 6 to both sides:

⇒ -2x = 46

Divide both sides by -2

⇒ x = -23

base = 4 units

height = 2 units

(1/2).base.height = (1/2).4.2 = 4

area = 4 sq. units

hope it helps...!!!

Answer:

3s=19s=-6

We move all terms to the left:

3s-(19s)=0

We add all the numbers together, and all the variables

-16s=0

s=0/-16

s=0

Step-by-step explanation:

the word kilo means thousand. By that logic we know that 2200 grams are in 2.2 kilograms

Answer:

6x<-39+¾

Step-by-step explanation:

let the number be represented by x.

Answer: The third option is correct.

Step-by-step explanation: 6x means "six times a number", which the unknown number is x. The less-than sign shows the "less than" part of the equation, and -39 3/4 represents the "negative thirty-nine and three-quarters". Hope this helps, also i got it right on edge.

Answer:

I think 9

Step-by-step explanation:

5+5+5+5+5+6+21+5+5 = 61