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3 years ago

Explain these questions, please

Mathematics

1 answer:

harina [27]3 years ago

3 0

How I was taught: Make sure both numbers are a fraction. If not put "1" as the denominator. Multiply straight across. Simplify if you can.

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

3 years ago

Rewrite the expressions using radical notation

Ber [7]

Tip:

You put the number of each equation into the form.

Exponent’s denominator goes outside

Exponent’s numerator goes inside with the number

4 0

3 years ago

Find the surface area of the rectangular prism. 3 cm 10 cm 7 cm [?] sq cm

Setler79 [48]

Answer:

Step-by-step explanation:

There are six faces on the prism:

Two faces are 7 cm by 10 cm, area = 7×10 = 70 cm² each

Two faces are 7 cm by 3 cm, area = 7×3 = 21 cm² each

Two faces are 10 cm by 3 cm, area = 10×3 = 30 cm² each

surface area = 2(70) + 2(21) + 2(30) = 140 + 42 + 60 = 242 cm²

5 0

3 years ago

What is y=x 9x-2y=-49 using substitution

Veronika [31]

Answer:

y= -7

Step-by-step explanation:

Substitute y for x in the equation since the rule is true.

6 0

2 years ago

What is the best estimate of the product 3780 times 2

Leviafan [203]

Answer:

7560

Step-by-step explanation:

I used google calculator

6 0

3 years ago