All categories

3 years ago

Solve for f 7a - 3d + 6f = 5

Mathematics

1 answer:

tangare [24]3 years ago

7 0

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

You might be interested in

A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

8 0

3 years ago

A playground is located on a triangular piece of land. Two sides of the playground are 157 feet long and they meet at an angle o

jok3333 [9.3K]

Answer:

$5,671.84

Step-by-step explanation:

To find the third side, we can use the law of cosines:

c^2 = a^2 + b^2 - 2ab*cos(theta)

c^2 = 157^2 + 157^2 - 2*157*157*cos(65)

c^2 = 28463.7649

c = 168.71 feet

The perimeter of the playground is:

P = 157 + 157 + 168.71 = 482.71 feet

If each foot costs $11.75, the final cost is:

Cost = 482.71 * 11.75 = $5,671.84

8 0

3 years ago

the table shows data from a survey about the number times families are restaurants during the week as families are either from R

miv72 [106K]

Answer:

wait i just had this question the answer for me was The Rome data center is the mean and The New York data center is the median

Step-by-step explanation:

8 0

3 years ago

42 divided by 0.009 round two decimal places

goblinko [34]

The answer is for this problem is 46.6

4 0

3 years ago

Read 2 more answers

Classify the following triangle as acute, obtuse, or right.

kiruha [24]

Answer:

A. Obtuse

F. Scalene

Step-by-step explanation:

There are two ways to classify a triangle:

by angles:

Obtuse - has one angle that is greater than 90°

Right - has one angle that is 90°

Acute - has all angles less than 90°

and by side lengths:

Equilateral - all sides are equal

Isosceles - two sides are equal

Scalene - no sides are equal

In this triangle, there is an obtuse angle (A. Obtuse).

∡ = 132°, which is greater than 90°.

There are no equal sides (F. Scalene).

6 ≠ 7 ≠ 11.9

4 0

3 years ago