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Zina [86]
3 years ago
15

What is the answer for this math?​

Mathematics
1 answer:
Westkost [7]3 years ago
6 0

Answer:

x=-4.992 and x=-0.434

Step-by-step explanation:

we have    

\frac{\sqrt{3x+15}}{5}=2^{x}

we can divide the equation above into two equations

so

y=\frac{\sqrt{3x+15}}{5} ----> equation A

y=2^{x} ----> equation B

Solve by graphing

The solutions of the system are the x-coordinates of the intersection points both graphs

using a graphing tool

The solutions are x=-4.992 and x=-0.434

see the attached figure

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The height of a cone is twice the radius of its base.
fredd [130]

Answer: 2/3πx³

Step-by-step explanation:

Let the radius of the cone be represented by x.

Since the height of the cone is twice the radius of its base, the height will be: = 2x

Volume of a cone = 1/3πr²h

where,

r = x

h = 2x

Volume of a cone = 1/3πr²h

= 1/3 × π × x² × 2x

= 1/3 × π × x² × 2x

= 1/3 × π × 2x³

= 2/3πx³

Therefore, the correct answer is 2/3πx³.

3 0
3 years ago
How many different 5-person subcommittees can be formed from a club having 12 members
Wittaler [7]
Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:

12x11x10x9x8 different combinations.

Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.

(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.

Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)

C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
3 0
2 years ago
If the check after the substitution of the answer doesn't work, does that mean that the result is incorrect for equation with va
Alecsey [184]
I don't understand what your point is. Mind posting a picture or something?
8 0
3 years ago
Find the opposite of 1/3 and negative -7/12
Dimas [21]
The opposite of 1/3 = -1/3
the opposite of -7/12 = 7/12
8 0
3 years ago
A square-shaped patio has an area of 256ft squared. What are the dimensions of the patio?
olga nikolaevna [1]

Answer:

all sides are 16 ft

Step-by-step explanation:

If the side length is x, the area is x²=256, hence x = √256 = 16

8 0
2 years ago
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