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3 years ago

For which equations below is x = –3 a possible solution? Check all that apply.

Mathematics

2 answers:

scZoUnD [109]3 years ago

3 0

Correct are the first, the third, and the fifth

Lubov Fominskaja [6]3 years ago

3 0

Answer:

The correct options are A, C and E.

Step-by-step explanation

If a absolution equation is defined as

$|x|=a$

Then the solutions of the equation are x=a and x=-a.

$|x|=3$

$x=\pm 3$

So,x=-3 is a solution of this equation.

$|x|=-3$

This equation has no solution because the value of |x| can no

be negative.

$|-x|=3$

$-x=\pm 3$

$x=\pm 3$

So,x=-3 is a solution of this equation.

$|-x|=-3$

This equation has no solution because the value of |-x| can no

be negative.

$-|x|=-3$

Divide both sides by -1.

$|x|=3$

$x=\pm 3$

So,x=-3 is a solution of this equation.

$-|x|=3$

Divide both sides by -1.

$|x|=-3$

This equation has no solution because the value of |x| can not be negative.

Therefore the correct options are A, C and E.

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What is the answer to 0.02 is 1/10 of?

oee [108]

Answer:

0.2

Step-by-step explanation:

0.002 x 10 as it is 1/10 of the size

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3 years ago

Find the height and area of each of these triangles

andreev551 [17]

Answer:

area= 1/2*(h*b) h- height, b- base

the triangle is isosceles (denoted by the 2 dashes on the sides of the triangle)

so they are equal in length

angles in triangle = 180

so 38+38=76

180-76=104

base=24

divide the triangle in the center

so now triangle 1(left) the base = 12

and triangle 2(right) the base = 12

use trigonometric ratios

in this we need to find the height

which is opposite of 38,

we already have the adjacent =12

so the ratio is Tan (Tangent Opposite/Adjacent)(TOA)

Tan38= (12/h)

multiply by h

h*Tan38=12

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8 0

3 years ago

a 1ft long piece of wire needs to be divided into two pieces which will form the shape of a circle and a square. Determine the l

yan [13]

Answer:

Length of wire for circle is 0.44 ft

Length of wire for square is 0.56 ft

Step-by-step explanation:

Let x is circumference of the circle

then

(1-x) = perimeter of the square

Find the radius of the circle

r = (x/2.π)

Find the area of the circle

a = π(x/2π)^2

a = π(x^2/4π^2)

Cancel π

a = x^2/4π

Find the area of the square:

a = (1-x/4)^2

a = (1-2x+x^2)/16

Total area

A = (x^2/4π)+(1-2x+x^2/16)

A = 4x^2+3.142-6.284x+3.142x^2

A = 7.142x^2-6.284x+3.142

Find the axis of symmetry [x = -b/(2a)]

x = -(-6.284)/{2.(7.142)}

x = 6.284/14.284

x = 0.44 ft, the piece of wire creating a circle

and

1 - 0.44 = 0.56 ft, the piece of wire creating the square

These lengths should give minimum area of the circle and square together

7 0

3 years ago

Heidi, a jewelry salesperson, earns a commission of $55 every time she sells a diamond ring. How many rings does she have to sel

Rashid [163]

Hi Alyssasmith21!
So $55 for each diamond ring and wants to know how many she needs to sell to get $605. OK this is easy what we have to do is 605/55 to find how many rings which is 11. She needs to sell 11 rings to get $605.
Hope this helps!

3 0

3 years ago

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi. (a) What is the probability

velikii [3]

Answer:

a) 89.05% probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200

b) No, because one of the requirements of the central limit theorem is a sample size of at least 30.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$