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LuckyWell [14K]
3 years ago
7

Find f(4) please, I need help

Mathematics
1 answer:
mixer [17]3 years ago
7 0

Answer:

f(4) = 1

Step-by-step explanation:

f(4) = what?

So if we know that x, aka 4, is technicially f is greater then 2, so you can plug in x as 4. So that means 5(4) - 19 = 20 - 19 = 1, so f(4) = 1

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A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

5 0
3 years ago
65=15+x^2 solve for x
7nadin3 [17]

Answer:

±5sqrt(2) =x

Step-by-step explanation:

65=15+x^2

Subtract 15 from each side

65-15=15-15+x^2

50 = x^2

Take the square root of each side

±sqrt(50) = sqrt(x^2)

±sqrt(25*2) =x

±sqrt(25)sqrt(2) =x

±5sqrt(2) =x

4 0
3 years ago
What is the exact value of cos 45° as found on the unit circle?
Ber [7]
The exact value of cos 45 as per the special triangle would be

Cos 45 = 1/✔️2

Rationalizing the denominator gives

✔️2/2 = 0.707.
4 0
3 years ago
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on
Marat540 [252]

Answer:

21N:7m/s

? :10m/s

21x10=210

210÷7=30N

Your final answer is 30N

Step-by-step explanation:

This is called direct propotion

it involves close multiplication

4 0
2 years ago
Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
ivanzaharov [21]
Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l            (1)

Part A.
The area is
A = w*l 
   = (2 - l)*l
 A  = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
   = -[ (l -1)² - 1]
   = -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.

4 0
3 years ago
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