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Leni [432]
3 years ago
7

Solve for x: 2|х - 3 |+1 = 7

Mathematics
1 answer:
Rasek [7]3 years ago
5 0
When using problems like this use mathaway love
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What is the fifth term in the geometric sequence described by this explicit formula y=40×(-2)^(n-1)​
cupoosta [38]

Answer:

The fifth term is 620

Step-by-step explanation:

y=40×(-2)^(n-1)​

The 5th terms means n=5

y = 40 * (-2) ^ (5-1)

  = 40 * (-2) ^4

  = 40 * (16)

  = 640

5 0
3 years ago
The family size bottle of sunscreen holds 12 fluid ounces of sunscreen. The regular bottle holds 75% less. How many fewer fluid
vladimir1956 [14]
9 fluid ounces
12<span>×</span>0.75=9
6 0
3 years ago
Read 2 more answers
The library at school is organized by fiction and nonfiction books. There are three nonfiction books for every seven fiction boo
iogann1982 [59]
Ratio- 3:7

240/3= 80
80x7=560
5 0
3 years ago
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Given AB is tangent to circle C at point B, what is the circumference of circle C?
faltersainse [42]

<u>Given</u>:

Given that AB is a tangent to circle C.

The length of AB is (2r -1)

The length of AC is (r + 1) + r

The length of BC is r.

We need to determine the circumference of the circle C.

<u>Value of r:</u>

The value of r can be determined using the Pythagorean theorem.

Thus, we have;

AC^2=AB^2+BC^2

Substituting the values, we have;

[(r+1)+r]^2=(2r-1)^2+r^2

Simplifying, we have;

(2r+1)^2=(2r-1)^2+r^2

Expanding the terms, we get;

4r^2+4r+1=4r^2-4r+1+r^2

4r^2+4r+1=5r^2-4r+1

Simplifying the values, we have;

4r=-4r+r^2

Adding both sides of the equation by 4r, we get;

8r=r^2

 0=r^2-8r

 0=r(r-8)

Thus, r=0 \ or \ r=8

Since, the radius of the circle cannot be 0.

Hence, the radius of the circle is 8.

<u>Circumference of the circle:</u>

The circumference of the circle can be determined using the formula,

C=2 \pi r

Substituting r = 8, we get;

C=2 \pi (8)

C=16 \pi

Thus, the circumference of the circle is 16π

Hence, Option A is the correct answer.

5 0
3 years ago
Evaluate C= 2 A r, for r= 8.<br>C=10,<br>C = 16<br>C= 28.7<br>C= 16​
USPshnik [31]

Answer: Second Option

C = 16\pi

Step-by-step explanation:

We are evaluating aarco lengths

The formula for the arc length is:

C = 2\pi r

We want to know what is the arc length for a radius of r = 8

Then we substitute r = 8 in the equation and solve

C = 2 \pi * 8

C = 16\pi

The correct answer is the second option

8 0
3 years ago
Read 2 more answers
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