Which statement is true?

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Vertical motion formula is h = -16t^2 +vt +s where v is initial velocity and s is starting height:

h = -16t^2 + 50t +6

Solving for t: -50/-32 = 1.5625 seconds to reach maximum height.

Now replace t  and solve for h ( maximum height)

h = -16(1.5625)^2 +50(1.5625) + 6

h = 45.0625

The value for h is greater than the height of the balcony, so yes the ball reached  the friend.

Answer:

16A. 42 cm

16B. 7 cm  

Step-by-step explanation:

Answer:

(8.5, - 2 )

Step-by-step explanation:

Given the 2 equations

6x + 4y = 43 → (1)

2x - 3y = 23 → (2)

Multiplying (2) by - 3 and adding to (1) will eliminate the term in x

- 6x + 9y = - 69 → (3)

Add (1) and (3) term by term to eliminate x, that is

13y = - 26 ( divide both sides by 13 )

y = - 2

Substitute y = - 2 in either of the 2 equations and solve for x

Substituting into (1)

6x + 4(- 2) = 43

6x - 8 = 43 ( add 8 to both sides )

6x = 51 ( divide both sides by 6 )

x = 8.5

Solution is (8.5, - 2 )

Answer:

The last option/ 30 degrees

Step-by-step explanation:

we use the pythagorean theoeom to say that the triangle is a right triangle. We know which one the right angle is, so the remaining two angles add up to 90 degrees. we eliminate the third option and the first. Then, eliminate the fourth and the second. The answer is either 42 or 30. It cannot be 42 because 42+56+70=168, and 168 is not equal to 180. So, the  answer is 30 degrees.

x=30 degrees

Answer: 24%

Step-by-step explanation:

A company is expanding its building area from 16,500 square feet to 20,460 square feet. To calculate the percentage increase in the area of the building space, we first find the difference. This will be:

20,460 - 16,500 = 3960

We then divide the difference by the former building area and then multiply by 100. This will be:

3960/16500 × 100

= 0.24 × 100

= 24%

The percentage increase of the area of the building space is 24%.

Answer:

1,491.6

Step-by-step explanation:

add all numbers:

954 + 1850 + 1200 + 1200 + 1350 + 1999 + 1888 = 10,441

divide sum by the numbers added:

10,441 / 7 = 1,491.6

Answer:

x = 6

Step-by-step explanation:

12x+252=324

Subtract 252 from each side

12x+252-252=324-252

12x =72

Divide each side by 12

12x/12 = 72/12

x =6

Answer:

the answer is attached to the picture

Answer:

9

Step-by-step explanation:

9X6

=54

63-54

=9

Answer:

the final amount is = $280.51

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Given that;

Principal P = $200

Interest rate r = 7% = 0.07

Time t = 5 years

Final amount = A

Number of time compounded per year n = 1

Substituting the values;

A = 200(1+0.07/1)^(1×5)

A = 280.51

Therefore, the final amount is = $280.51

Answer:

87.92 ft

Step-by-step explanation:

The circumference of a circle can be found using the formula: c = 2pi(r) OR c = pi(d).

r stands for the radius, d stands for the diameter. Because you're given the diameter of the circle, you can simply multiply 28 by pi (3.14), and you'll get the circumference!

Answer:

[tex] \boxed{b\degree = 36\degree} [/tex]

Step-by-step explanation:

Property used: An exterior angle of a triangle is equal to the sum of the opposite interior angles.

[tex] = > 81 \degree + b \degree = 117 \degree \\ \\ = > b \degree = 117 \degree - 81 \degree \\ \\ = > b \degree = 36 \degree [/tex]

-3× - 5= 10+5

-3×=15

15÷-3 = -5

x= -5

The percentage change in temperature is 19.0%.

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the temperature rises from 21c to 29c.

The change in temperature is:

29c - 21c

= 4c

The percentage change in temperature from 21c is:

percentage change = (4c/21c)×100

                                 =4/21×100

                                 = 19.0%

Therefore, the percentage change in temperature is 19.0%.

Learn more on percentages here:

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Answer:

A=112 in. squared

Step-by-step explanation:

A=bxh=14·8=112

Step-by-step explanation: In this problem, we're asked to find the area of the parallelogram shown. Remember that a parallelogram is a quadrilateral with two pairs of parallel sides.

The formula for the area of a parallelogram is bh.

Since the base of the parallelogram is 14 inches and the height of the parallelogram is 8 inches, we can plug this information into the formula

to get (14 in.)(8 in.) which equals 112 in.².

Answer:

E

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

2 1/2=5/2

(5/2)(20)=100/2

Answer = 5

I don't feel like explaining it.

Answer: P = 96 - 30 + 9.48

Step-by-step explanation:

The price of the jacket is $96.

The discount is 31.25% and

The sales tax is 9.875%

To find the price paid, we subtract the discount from the original price and add the sales tax. This will be:

P=96 - (31.25% × 96)+(9.875% × 96)

P = 96 - 0.3125(96) + 0.09875(96)

P = 96 - 30 + 9.48

P = 75.48

Where,

P stands for the final price.

The first term (96) shows the initial price.

The second term (-30) is about the discount which has to be negative.

The final term (+9.48) is about the sales tax which must be added to have the total price.

Answer:

0%

Step-by-step explanation:

There are 4 navy shirts.

There are 12 red shirts.

The rest are white.

That means there isn't any green shirts.

Answer:

No the right answer is

Step-by-step explanation:

-36

The value of the expression A = 6[4-9.47] is A = -33

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = 6 [ 4 - 9.47 ]

On simplifying , we get

A = 6 ( -5.47 )

On further simplification , we get

A = 6 x -5.47

A = -32.82

On rounding the value of A , we get

A = -33

Therefore , the value of A is -33

Hence , the equation is A = -33

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Answer:

I'm glad you asked!

Step-by-step explanation:

So let's do it step by step.

Already she has to pay $[tex]5[/tex] for going in.

She has [tex]2[/tex] whole pounds.

[tex]1.25[/tex] x [tex]2=2.5[/tex] or [tex]2 \frac{1}{2}[/tex]

Add $[tex]5[/tex] and $ [tex]2.5[/tex] .

[tex]5+2.5 = 7.5[/tex]

Now let's do $1.25 divided by 10.

[tex]$[/tex]$[tex]1.25[/tex] divided by $[tex]10[/tex] [tex]=0.125[/tex]

Now let's do [tex]0.125[/tex] times [tex]4[/tex]

[tex]0.125[/tex] x [tex]4 = 0.5[/tex]

Now let's add 7.5 to 0.5

[tex]7.5+0.5=8[/tex]

Answer:

g(-5) = -6

Step-by-step explanation:

g(-5) is the value of the function when x = -5

When x = -5 the function ( or y value) is -6

Answer:

$5180.12

Step-by-step explanation:

B=4000(1+0.09)^3

Answer:

885.1

Step-by-step explanation:

p = 3000

r = 9/100 = 0.09

t = 3 years

B = 3000 * (1+ 0.09)^3

B = 3000 * (1.09)^3

1.09^3 = 1.09*1.09 * 1.09 = 1.295

B = 3000 * 1.295

B = 3885.10

So the interest is Balance - principle =  3885.1 - 3000 = 885.1

Answer:

x = 2

Step-by-step explanation:

9^2 or 9(9) = 81

Answer:

2(5+2)

Step-by-step explanation:

The greatest common factor would be 7. So now 35/7 is 5 and 14/7 is 2. Now put it in distributive property! GCF on the outside and the new numbers we just got in the inside. There's your answer! Have a great day! :)

Answer:

1st sphere has r1 = 6

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 6^2 = 144pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 6^3 =288pi

2nd sphere has r1 = 15

=> Surface area S1 = 4 x pi x r1^2 = 4 x pi x 15^2 = 900pi

=> Volume V1 = (4/3) x pi x r1^3 = (4/3) x pi x 15^3 =4500pi

=> S1/S2 = 144pi/900pi = 0.16

=> V1/V2 = 288pi/4500pi = 0.064

Hope this helps!

:)

Answer:

X=1/2*24

Step-by-step explanation:

X=1/2*24

X=1/2*24

Answer:14.58 miles.

Step-by-step explanation:

Matthew is training to participate in a half marathon.

The distance covered by Matthew on the first day is 12.5 miles.

The distance covered by Matthew on the second day is 13.5 miles.

The distance increased on the second day is, 13.5-12.5=1 mile.

The percentage will be,

=\dfrac{1}{12.5}\times 100\%

=0.08\times 100\%

=8\%

Hence, each day he runs 8% more. So the distance covered by him on day 3 will be,

=13.5+\left(13.5\times \dfrac{8}{100}\right)

=13.5+1.08

=14.58 miles

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Step-by-step explanation:

Answer:

Basic consensus is that that other answer is wrong. The actual answer is 19.22

Step-by-step explanation:

To find the common ratio you just do this, last number = 15.5, and first number = 12.5.

15.5/12.5 equals 1.24.

^That's the common ratio.^

using A(n) = a * r ^ n - 1,

you get 12.5 * 1.24 ^ 3 - 1, or just 12.5 * 1.24 ^ 2

and solving that problem, you get 19.22.

Confirm this by doing the same thing earlier, 19.22/15.5 is 1.24. Which is the ratio found earlier. So it checks out.