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3 years ago

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
12×0.75=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]

Given:

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.

Value of r:

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.

Circumference of the circle:

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. C=10, C = 16 C= 28.7 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