Before she went on a diet, Jenna’s waist measured 32.45 inches. After the diet, it measured 26.97 inches. How many inches did Jenna lose?

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Explanation:

S = sum of the salaries of the first 15 employees

S/15 = mean of the 15 salaries

S/15 = 2930

S = 15*2930

S = 43950

The 15 workers salaries add to 43950.

If we add on a new 16th salary of 3138, then the sum bumps up to

S+3138 = 43950+3138 = 47088

This is the sum of the 16 workers salaries. Divide this over 16 to get the new average

47088/16 = 2943

The new mean is 2943

It is larger than the old mean because the 16th salary is larger than the mean. Effectively this new salary pulls on the mean to make it larger. With very distant outliers, the mean is pulled a lot which often causes problems. So this is why the median is a better measure of center in those situations. Either that measure of center, or using a trimmed mean works as well.

Answer:

A

Step-by-step explanation:

So we have the function:

[tex]f(x)=y=\sqrt[3]{x-2}+8[/tex]

To find the inverse of the function, we can flip x and y and then solve for y. Therefore:

[tex]x=\sqrt[3]{y-2}+8[/tex]

Solve for y to find our inverse.

Subtract 8 from both sides:

[tex]x-8=\sqrt[3]{y-2}[/tex]

Cube each side. The right cancels:

[tex](x-8)^3=y-2[/tex]

Add 2 to both sides:

[tex]y=(x-8)^3+2[/tex]

Therefore, our inverse is:

[tex]f^{-1}(x)=(x-8)^3+2[/tex]

The answer is A

Answer: 135, 45, and 135 are the three other angles

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Explanation:

For a parallelogram, we'll have opposite angles with the same measure. So if one angle is 45 degrees, then the opposite angle is also 45 degrees. The other two angles are 180-45 = 135 degrees each. Adjacent angles in a parallelogram add to 180 degrees.

Answer:

1,350,001 shares

Step-by-step explanation:

Barnaby corporation issued 2,700,00 shares of stock to its respective shareholders

A shareholder is required to own more than half of the share of the stock of a corporation inorder to have most of it.

This implies that the shareholder must have 50% + 1 inorder to attain the majority shares

Therefore, the number of shares that must by owned by a shareholder to have majority of the shares can be calculated as follows

= 50/100 × 2,700,000

= 0.5×2,700,000

= 1,350,000+1

= 1,350,001 shares

Answer as a fraction = 9/4

Answer in decimal form = 2.25

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Explanation:

1/4 = 4/16 after multiplying top and bottom by 4

We have some number x such that

(4/16)x = 9/16

we can multiply both sides by 16 to clear out the fractions, getting 4x = 9

Then we divide both sides by 4 to get x = 9/4 = 2.25

Answer:

yes, it equals 44

Step-by-step explanation:

16-(-)24+4=44

Answer:

it is 44

Step-by-step explanation:

2 minus's right by each other turn into a plus sign.

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

Answer:

0.00588235294

Step-by-step explanation:

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

0.00588235294

Answer:

20 units

Step-by-step explanation:

Initial particle concentration = 80 units

Particles removed each hour = 50% of the remaining particles

To find:

Particle concentration after 2 hours = ?

Solution:

Particles removed in 1 hour = 50% of remaining particles

i.e. Particles removed in 1 hour = 50% of initial concentration

Particles removed in 1 hour = 50% of 80 = 40

Particles removed in next 1 hour = 50% of remaining particles

i.e. Particles removed in next 1 hour = 50% of concentration after 1 hour

Particles removed in next 1 hour = 50% of 40 = 20

Total particles concentration removed in 2 hours = 40 + 20 = 60 units

Therefore, particle concentration after 2 hours = Initial concentration - Total particle concentration removed in 2 hours

= 80 - 60 = 20 units

x = 8

cos60° = x/16

1/2 = x/16

2x = 16

x = 16 : 2

x = 8

Answer:

[tex]\Huge \boxed{x=8}[/tex]

Step-by-step explanation:

[tex]\sf \displaystyle cos(60\° ) = \frac{x}{16}[/tex]

Multiplying both sides by 16.

[tex]\sf \displaystyle 16 \cdot cos(60\° )= \frac{x}{16} \cdot 16[/tex]

Simplifying the equation.

[tex]\sf \displaystyle 16 \cdot \frac{1}{2} = x[/tex]

[tex]\sf 8=x[/tex]

Irma- 17 and Jeremiah - 29

Answer:

4/3

Step-by-step explanation:

Slope is rise/run so find two points and find the rise/run. (0,-1) and (4,2) so the slope would be 4/3

Answer:

B.  -12.4 + 20.6s.

Step-by-step explanation:

Perimeter = 2*length + 2 * width

= 2(3.1s - 1.6) + 2(7.2s - 4.6)

= 6.2s + 14.4s - 3.2 - 9.2

= 20.6s - 12.4

= -12.4 + 20.6s.

[tex]\boxed{-12+20.6s}[/tex]

To find the perimeter of a shape, we add length + width + length + width (or length * 2 + width *2). So we would multiply the width, (3.1s - 1.6), and the length, (7.2s - 4.6), by 2, and then add them together to find the perimeter.

2(3.1s - 1.6) + 2(7.2s - 4.6)

This is equal to:

6.2s + 14.4s - 3.2 - 9.2

Simplified, this is equal to:

20.6s - 12.4

(We have to switch it around, but this answer is equal to option b.)

-12.4 + 20.6s

Tip: To simplify an equation, you add like terms. Like terms are numbers that have the same variables or exponents; for example, -4 and 3 are like terms, as well as 5^2 and 8^2. (Keep in mind, the variables and/or exponents have to be the same if you combine the like terms. Numbers with different variables and exponents can never be combined!)

Answer:

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Step-by-step explanation:

Given

[tex]Cost = \$120 - 0.25(\$120)[/tex]

Required

Solve using distributive property

[tex]Cost = \$120 - 0.25(\$120)[/tex]

[tex]\$120[/tex] can be rewritten as [tex]1(\$120)[/tex]

So:

[tex]Cost = 1(\$120) - 0.25(\$120)[/tex]

Factorize:

[tex]Cost = \$120(1 - 0.25)[/tex]

Now, we can apply distributive property on the expression;

[tex]Cost = \$120 * 1 - \$120 * 0.25[/tex]

Hence, the above is an equivalent expression.

Solving further, we have

[tex]Cost = \$120 - \$30[/tex]

[tex]Cost = \$90[/tex]

Answer:

See below.

Step-by-step explanation:

So we have the expression:

[tex]\sqrt{125a^2b^2}[/tex]

This is the same as:

[tex]=\sqrt{(5ab)^2\cdot5}[/tex]

Expand:

[tex]=\sqrt{(5ab)^2}\cdot\sqrt5[/tex]

The left term cancels:

[tex]=5|ab|\sqrt5[/tex]

Note that we need the absolute value bars because if a and/or b was negative in the original equation, they will turn positive. Thus, to keep things consistent, we must use the absolute value to make sure that a and b stays negative :)

Answer:

there is  google!

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's write a equation.

5 ft = 20 seconds

(five feet is reachable in 20 seconds)

Divide both sides by 5.

5/5=1

20/5=4

1 ft = 4 seconds

Let's say the destination is d and f is foot.

d = 4f

Answer: -17

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

Is [tex](x-4)[/tex] equivalent to [tex](x-4)2[/tex] ?

So let's solve [tex](x-4)[/tex] .

Since there are no like terms, the answer would be

[tex]x-4[/tex]

Let's move on to [tex](x-4)2[/tex]

[tex](x+-4)+(2)[/tex]

Now let's separate.

[tex](x)(2)+(-4)(2)[/tex]

This equals

[tex]2x-8[/tex]

Both answer were not the same so therefore they are not equivalent.

Hope this Helps!

So far, segment CD is the same length as AB. So we can say AB = CD.

Let's keep going

Segment CE is composed of CD and DE, both of which are equal to AB. In other words, AB = CD = DE. Because CD = DE, and the two segments add up to CE, this must mean that CE is twice as long as CD. Therefore, CE is twice as long as AB.

See the diagram below for a visual summary.

Answer:

i think it will be helpful for you

Answer:

E. real numbers F. rational numbers

Step-by-step explanation:

-5/7

A. integers  no  a whole number that is positive or negative, non fractional

B. natural numbers    no  positive whole numbers, non fractional

C. irrational numbers  no   non repeating, non terminating decimals, cannot be written as fractions

D. whole numbers  no -  entire parts  non fractional

E. real numbers   yes- contains all rational and irrational numbers

F. rational numbers   yes- numbers that can be written as fractions

Answer:

E. real numbers

F. rational numbers

(see below)

Step-by-step explanation:

A. integers =  number that can be written without a fractional component

NO.

B. natural numbers = a whole, non-negative number.

NO.

C. irrational numbers = a number that can be expressed as an infinite decimal with no set of consecutive digits repeating itself indefinitely and that cannot be expressed as the quotient of two integers.

NO.

D. whole numbers = There is no fractional or decimal part. And no negatives.

NO.

E. real numbers  are the numbers which include both rational and irrational numbers. Rational numbers such as integers and fractions.

YES -5/7

F. rational numbers  =  is a number that can be expressed as the quotient or fraction -5/7 of two integers

YES -5/7

If there is a picture could you please add it to your question?

It will help me find the correct anwser faster for you!

Answer:

5/6 is:

Rational

Step-by-step explanation:

Natural-All positive integers (5/6 does not apply)

Whole-All positive integers and zero (5/6 does not apply)

Integer- All positive and negative whole numbers and zero (5/6 does not apply)

Rational-All integers, fractions, and non-repeating decimals (5/6 applies)

Irrational-A real numbers that are NOT rational (5/6 does not apply)

Answer:

-8ab -24asquared-16a

Thats gonna get u ur answer

Step-by-step explanation:

Answer:

-8ab -24a^2 -16a

simplfied form

-8a(b+3a+4)

Step-by-step explanation:

Answer:

A bearing is an angle, measured clockwise from the north direction. Below, the bearing of B from A is 025 degrees (note 3 figures are always given). The bearing of A from B is 205 degrees.

Answer:

Step-by-step explanation:

A) The angular velocity is the ratio of angular distance to time:

  ω = 1 revolution / (0.25 s) = (2π radians)/(0.25 s)

  ω = 8π radians/second

__

B) The arc length is ...

  s = rθ = rωt

  s = (35 cm)(8π rad/s)(60 s) = 16,800π cm

  s ≈ 52779 cm = 527.79 m

The wheel travels about 527.8 meters in one minute.

Another name for the set of natural numbers are counting numbers.

Answer:

-20 x^6

Step-by-step explanation:

(4x)(-x^2)(5x^3)

Multiply the numbers

4*-1 *5 = -20

Add the exponents

x^1 * x^2 * x^3

x^(1+2+3)

x^6

Multiply back together

-20 x^6

Answer:

The answer is

Step-by-step explanation:

(4x )( - x²)(5x³)

Expand the terms

That's

-4x³( 5x³)

Next multiply the numbers

That's

- 20( x³)(x³)

Using the rules of indices multiply the x's in the expression

That's

So we have

We have the final answer as

Hope this helps you