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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?

Mathematics
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
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