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3 years ago

13

The speed of a car is increased at a constant rate. If the speed is increased by 54m/s over a 6 second period what is the accele

ration

1 answer:

Anna35 [415]3 years ago

3 0

Answer:

9ms^-2

Step-by-step explanation:

a = dV/dt

a = 54ms^-1/6s

a = 9ms^-2

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If p varies directly with q, and p = 10 when q = 5, what is the value of p when q = 20

Inessa [10]

The value of p would be 40. This is because the ratio of p:q = 10:5. this could be simplify into p:q = 2:1. Applying the ratio p:20 = 2:1, P=40.

8 0

3 years ago

The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is <u>approximately 16,615.</u>

<em><u>Recall:</u></em>

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

<em><u>Given:</u></em>

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

<em>Therefore,</em>

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

<em>Thus:</em>

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately <u>16,615 balls</u><u> to fill up the entire office</u>.

Learn more here:

brainly.com/question/16098833

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2 years ago

Simplify (5+1)^2-(12+3^2)/3

lakkis [162]

Answer:

29

Step-by-step explanation:

Simplify the expression $(5+1)^2-\dfrac{12+3^2}{3}$ step by step:

1.

$(5+1)^2=6^2=6\cdot 6=36$

2.

$\dfrac{12+3^2}{3}=\dfrac{12+3\cdot 3}{3}=\dfrac{12+9}{3}=\dfrac{21}{3}=7$

Now,

$(5+1)^2-\dfrac{12+3^2}{3}=36-7=29$

3 0

3 years ago

Read 2 more answers

A cereal box has a rectangular base with a length of 8 in. and width of 3 in. The total

krek1111 [17]

Answer: 16.5

Step-by-step explanation: First do 8 times 3 then divide by 264=16.5. I think this is the answer

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3 years ago

Please help me, What is the 6th term of the geometric sequence 1024, 528, 256...?

scoundrel [369]

The geometric sequence is B: 32

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3 years ago