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strojnjashka [21]
3 years ago
13

Given f(x)=5x+15 find f(x)=30

Mathematics
1 answer:
Schach [20]3 years ago
3 0
Given the function, f(x) = 5x + 15:

In order to find the value of x when f(x) = 30, substitute the value of the output into the function:

f(x) = 5x + 15
30 = 5x + 15

Subtract 15 from both sides:
30 - 15 = 5x + 15 - 15

15 = 5x

Divide both sides by 5:
15/5 = 5x/5

x = 3

Therefore, the value of x when f(x) = 30 is 3, or f(3) = 30.
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Find volume with full working out pls asap
ZanzabumX [31]

Answer:

868 m³

Step-by-step explanation:

Volume = Difference of cones

V = ⅓(pi×r²h)

Volume of cone with base Circle O:

h = 8.2+8.2 = 16.4 m

V1 = ⅓(pi×7.6²×16.4)

V1 = 991.97

Volume of cone with base Circle A:

V2 = ⅓(pi×3.8²× 8.2)

V2 = 124 m³

Volume = V1 - V2

991.97 - 124 = 868 m³

6 0
3 years ago
While conducting experiments, a marine biologist selects water depths from a uniformly distributed collection that vary between
aleksandr82 [10.1K]

Answer:

The probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

Step-by-step explanation:

Let the random variable <em>X</em> denote the water depths.

As the variable water depths is continuous variable, the random variable <em>X</em> follows a continuous Uniform distribution with parameters <em>a</em> = 2.00 m and <em>b</em> = 7.00 m.

The probability density function of <em>X</em> is:

f_{X}(x)=\frac{1}{b-a};\ a

Compute the probability that a randomly selected depth is between 2.25 m and 5.00 m as follows:

P(2.25

                               =\frac{1}{5.00}\int\limits^{5.00}_{2.25} {1} \, dx\\\\=0.20\times [x]^{5.00}_{2.25} \\\\=0.20\times (5.00-2.25)\\\\=0.55

Thus, the probability that a randomly selected depth is between 2.25 m and 5.00 m is 0.55.

6 0
3 years ago
Two cylinders. The smaller cylinder has height labeled as 6 cm. The larger cylinder has height labeled as 18 cm.
Yakvenalex [24]

Answer: first option.

Step-by-step explanation:

You know that the height of the smaller cylinder is 6 cm and the height of the larger cylinder is 18 cm, then you can find the volume ratio. This  is:

Volume\ ratio=(\frac{6cm}{18cm})^3\\\\Volume\ ratio=\frac{1}{27}

Knowing that the volume of the larger cylinder is 40,635 cubic centimeters, you need to multiply it  by the volume ratio to find the volume of the smaller cylinder.

Therefore:

V_{smaller}=\frac{1}{27}(40,635\ cm^3)\\\\V_{smaller}=1,505\ cm^3

8 0
3 years ago
Please help me answer the question in the picture
Genrish500 [490]
$338 / 2 = $169

A = a^2 = 169
a= 13

answer
13ft
6 0
3 years ago
Read 2 more answers
Lucia is making invisibility potions. Each potion requires 2 eyes of newt. How many invisibility potions can Lucia make with 16
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Lucia can make 8 invisibility potions total!
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she can make 8 potions.

hope this helps!
4 0
3 years ago
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