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Hunter-Best [27]

3 years ago

6

What is the value of the expression when a = 4, b = 3 , and c = 10?

1 answer:

FrozenT [24]3 years ago

6 0

C it’s wrong so don’t listen to me

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A ball is kicked 4 feet above the ground with an initial vertical velocity of 51 feet per second. The function h(t)=−16t²+51t+4

uysha [10]

Answer:

0.6 seconds to 2.6 seconds

Step-by-step explanation:

From the graph the ball reaches 28 feet after 0.574 seconds

and doesn't fall below that until 2.614 seconds

0.574 rounded is 0.6 seconds

2.614 rounded is 2.6 seconds

4 0

2 years ago

Read 2 more answers

You start at (3, 0). You move right 1 unit and left 2 units. Where do you end?

SVEN [57.7K]

Answer:

2,0

Step-by-step explanation:

8 0

2 years ago

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

Which expression is equivalent<br>HELP ME PLEASE

aalyn [17]

Answer:

the 4th option is correct

Step-by-step explanation:

$xy^{2/9}$ Original expression

$x(y^{2})^{1/9}$ Split up the exponent

$x(\sqrt[9]{y^{2} } )$ The 1/9 of an expression is the same thing is the 9th root of the expression.

7 0

3 years ago

Leslie took a total of 40 quizzes over the course of 5 weeks. After attending 7 weeks of school this quarter, how many quizzes w

kow [346]

Answer:

56 quizzes

Step-by-step explanation:

40 quizzes = 5 weeks

To find the unit rate of quizzes / week, we can divide both sides by 5

40/5 quizzes = 5/5 weeks

8 quizzes = 1 week

Multiply both sides by 7 to find the amount of quizzes in 7 weeks

8 * 7 quizzes = 1 * 7 weeks

56 quizzes = 7 weeks

5 0

2 years ago