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Cerrena [4.2K]
3 years ago
12

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

Mathematics
2 answers:
Anna35 [415]3 years ago
7 0

Answer:

When the input is 4, the output of f(x) = x + 21 is 25.

Step-by-step explanation:

The given function is

f(x)=x+21

We need to find the output of the function if the input is 4. It meas we need to find the value of f(4).

Substitute x=4 in the given function.

f(4)=(4)+21

f(4)=4+21

After addition, we get

f(4)=25

When the input is 4, the output of f(x) = x + 21 is 25.

Therefore the required answer is 25.

Tom [10]3 years ago
3 0

f(x)=x+21\Longrightarrow f(4)=4+21=\boxed{25}

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A man weighing 800 N is hanging from a 2 mm diameter titanium wire with a cross-section of 3 x 10^-6 m^2. Will the wire break?
DENIUS [597]

Answer:

Since stress is greater than ultimate strength, the wire will break.

Step-by-step explanation:

The titanium wire is experimenting an axial load. Ultimate strength equals 2.20\times 10^{8}\,Pa. The wire shall break if and only if stress is at least equal to ultimate strength. The equation for axial stress (\sigma), measured in pascals, in the wire with circular cross-section is:

\sigma = \frac{4\cdot F}{\pi\cdot D^{2}} (1)

Where:

F - Axial force, measured in newtons.

D - Cross-section diameter, measured in meters.

Please notice that axial force is the weight of the man hanging from wire.

If we know that F = 800\,N and D = 0.002\,m, then the axial stress experimented by the titanium wire is:

\sigma = \frac{4\cdot (800\,N)}{\pi\cdot (0.002\,m)^{2}}

\sigma \approx 2.546\times 10^{8}\,Pa

Since stress is greater than ultimate strength, the wire will break.

3 0
3 years ago
Five-sixths of Paco's stamps have pictures of animals.
goldenfox [79]

Answer:

20

Step-by-step explanation:

fraction of stamps that has animals on it x total number of stamps paco has = pictures with animals on it

(5/6) x 24 = 20

6 0
3 years ago
What is the algebraic rule for a figure that is rotated 270° counterclockwise about the origin?
Serggg [28]

Answer:

(x,y) -> (-x,-y)

Step-by-step explanation:

the coordinates are switched from the (x,y) you have to (-x,-y)

4 0
3 years ago
Which of the following is an X-intercept of the function f(X)=X^3-5X^2-8X+48
Anton [14]
You have to searh the x values that make f(x) = 0

Factoring this equation is very difficult.

You can divide by x+3 and you will find that the equation can be factored as

(x+3)(x-4)^2

That means that x = -3 and x = 4 make f(x) = 0

Then the points are (-3,0) and (4,0).
6 0
3 years ago
23.7-2.5x8= Work out
Lubov Fominskaja [6]

Answer:

23.7 -2.5 X 8 = 23.7 - 20

= 3.7

8 0
3 years ago
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