Amy is putting money into a savings account. She starts with $650 in the savings account, and each week she adds $70 .

Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Amy has been adding money. Write an equation relating S to W . Then use this equation to find the total amount of money in the savings account after 17 weeks.

Equation:

Total amount of money after 17 weeks: $

Answer:

d. x = 27

Step-by-step explanation:

[tex]\frac{x}{9} = 3\\\\Multiplying \: both\: sides\: by\: 9\\9\times \frac{x}{9} = 3\times 9\\\huge\red{\boxed{\therefore x = 27}}[/tex]

Answer:

Step-by-step explanation:

Two groups of subjects were divided in an experimental study. One group was given a drug to help speed up

their metabolism and result in weight loss. The other group was given a placebo (a pill that looks identical to the one given to the other group, but without the weight loss drug). After a month of the experiment, the weight loss of each individual in each of the two groups were measured. In general, people in the group who took the metabolism drug did lose more weight, although there were differences in the amount each lost. There are two main types of variability occurring in this study. Describe each type below in the context of this study.

Induced Variability-

Natural Variability-

------------------------------------------------------------------------

Induced Variability - It is the kind of variability that is introduced by the one conducting the experiment. The decision to give one group the drug and othe other group a placebo was deliberate to check the merit of the drug on its own and was introduced by the one conducting the study. Hence the, the observation that the group that took the drug lost more weight as compared to the group that took the placebo is an induced variability.

Natural Variability - It is classified as a natural fluctuation in the observations that is not influenced by the one conducting the study. Even though the group that took the drug lost more weight, the exact amount that each of them lost was not constant. Hence this was a variability that did not introduce itself through the one conducting the study, and rather was unexplained and natural. Hence it is a natural variability.

Answer:

7.73

Step-by-step explanation:

In the picture attached, the diagram is shown.

Area of square = side² = 6² = 36 in²

The non-shaded area is quarter the area of the circle's area with radius = side of the square. This area is: (1/4)*π*radius² = (1/4)*π*6² = 28.27 in²

Therefore, the shaded area is: Area of square  - non-shaded area  = 36 in² - 28.27 in² = 7.73 in²

Answer:

6^2

Step-by-step explanation:

The equation gives you 36.

36 is 6 raised to the power of 2.

You just solve it by observation.

The value of [tex]10^2-4^3 \ is\ 6^2[/tex]

Given that,

Based on the above equation, we need to solve it

[tex]= 10^2-4^3[/tex]

= 100 - 64

= 36

[tex]= 6^2[/tex]

Basically we deduct it so that the value could come in a power of 6.

Therefore we can conclude that the value of [tex]10^2-4^3 \ is\ 6^2[/tex]

Learn more: brainly.com/question/14379882

It has no solution.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

No solution

Step-by-step explanation:

The given equation is,

→ w + (3/4) = w - (2/2)

Now we have to,

→ Find the required value of w.

Then the value of w will be,

→ w + (3/4) = w - (2/2)

Finding LCM in both sides:

→ (4w/4) + (3/4) = (2w/2) - (2/2)

→ (4w + 3)/4 = (2w - 2)/2

Cross multiplying both sides:

→ 2(4w + 3) = 4(2w - 2)

Applying Distributive property:

→ 2(4w) + 2(3) = 4(2w) - 4(2)

→ 8w + 6 = 8w - 8

→ 8w - 8w = -8 - 6

→ [ 0 = -14 ] => {No solution}

Hence, it has no solutions.

Answer:

n<38

Step-by-step explanation:

n – 96 < –58

Add 96 to each side

n – 96+96 < –58+96

n<38

Answer:

4th answer is correct

Step-by-step explanation:

n - 96 < - 58

Add 96 to both sides.

n - 96 + 96 < - 58 + 96

n < 38

Answer:

Step-by-step explanation:

Answer:

the answer is no solution.

Answer:

80.9

Step-by-step explanation:

A=a2+2aa2

4+h2=52+2·5·52

4+52≈80.9017

Answer:

x=8

Step-by-step explanation:

The formula for the area of a kite is pq/2. In this case, 15 inches is p and x is q. Since the answer is being divided by 2, you want pq to be double the actual area. 60 times 2 is 120. 120 divided by 15 is 8. Therefore, x is equal to 8.

You can check this answer by substituting the values intothe equation.

(15)(8)/2= 120/2= 60.

Step-by-step explanation:

r − r cos θ = 6

r = r cos θ + 6

r² = (r cos θ + 6)²

x² + y² = (x + 6)²

x² + y² = x² + 12x + 36

y² = 12x + 36

The rectangular form of the polar equation is x² + y² = 2x + y - 2.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

To convert a polar equation to rectangular form, you can use the following relationships between polar and rectangular coordinates:

x = r x cos(theta)

y = r x sin(theta)

where r is the distance from the origin to the point in polar coordinates, and theta is the angle between the positive x-axis and the line connecting the origin and the point.

Now,

So, if you have a polar equation in the form of r = f(theta), you can substitute these expressions for x and y into the equation to obtain a rectangular equation in terms of x and y.

The resulting equation will typically be a function of x and y, rather than just one variable as in the polar form.

For example,

If you have the polar equation r = 2 + sin(Ф), you can substitute x = rcos(Ф) and y = rsin(Ф) to get:

x = (2 + sin(Ф)) x cos(Ф)

y = (2 + sin(Ф)) x sin(Ф)

Simplifying these expressions using trigonometric identities, you can get the rectangular form of the polar equation:

x² + y² = 2x + y - 2

Thus,

The rectangular form of the polar equation is x² + y² = 2x + y - 2.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Answer:

60,60,60

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

The data set up lowest to highest is: 6, 8, 8, 14, 18. Median is the middle number of the data, so the answer would be 8

Answer:

SAMPLE space=4

all outcomes:a,b,c,d

probability of each one is 1/4 or 0.25

2. probability for each one is 1 in 8

Step-by-step explanation:

Answer:

152 men, 76 women, and 38 children

Step-by-step explanation:

Children- x

Women-2x

Men-4x

4x+2x+x=266

7x=266

x=38

2x=76

4x=152

152 men, 76 women, and 38 children

Answer: 176

Step-by-step explanation:

To evaluate the equation we have to remove the parentheses and add 15 + 17...

1/2 (11)(15 + 17) =

= 11 * 32 * 1/2

Now, we have to turn it into a fraction and multiply it...

[tex]\frac{1*11*32 }{2}[/tex]

= [tex]\frac{352}{2}[/tex]

352 ÷ 2 = 176

I hope this helps!

Answer:

[tex]176[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} \times 11 \times (15 + 17) \\ \frac{1}{2} \times 11 \times 32 \\ \frac{352}{2} \\ = 176[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

im pretty sure it's the second to last for the answer

Answer:

as the sign of coordinates of different ordered pairs is as shown in the diagram so

ans. to 1 is quadrants one and three

ans. to 2 is quadrants two and four

Answer:

[tex]=-12[/tex]

Step-by-step explanation:

[tex]\frac{7\frac{1}{2}}{4\frac{1}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 7\frac{1}{2}=\frac{15}{2}\\\frac{\frac{15}{2}}{4\frac{1}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 4\frac{1}{2}=\frac{9}{2}\\\frac{\frac{15}{2}}{\frac{9}{2}-5\frac{1}{8}}\\\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 5\frac{1}{8}=\frac{41}{8}\\\frac{\frac{15}{2}}{\frac{9}{2}-\frac{41}{8}}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{\frac{b}{c}}{a}=\frac{b}{c\:\cdot \:a}\\=\frac{15}{2\left(\frac{9}{2}-\frac{41}{8}\right)}\\\mathrm{Join}\:\frac{9}{2}-\frac{41}{8}:\quad -\frac{5}{8}\\=\frac{15}{2\left(-\frac{5}{8}\right)}\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\=\frac{15}{-2\cdot \frac{5}{8}}\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{15}{2\cdot \frac{5}{8}}\\\mathrm{Multiply\:}2\cdot \frac{5}{8}\::\quad \frac{5}{4}[/tex]

[tex]=-\frac{15}{\frac{5}{4}}\\\mathrm{Simplify}\:\frac{15}{\frac{5}{4}}:\quad \frac{60}{5}\\\mathrm{Divide\:the\:numbers:}\:\frac{60}{5}=12\\=-12[/tex]

Answer:

-12 will be your answer

Step-by-step explanation:

Answer:

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Step-by-step explanation:

5 : 4 as to x : 6

ratios can also be written as fractions...

5/4 = x/6 ..now we have a proportion...so we cross multiply

(4)(x) = (5)(6)

4x = 30

x = 30/4

x = 15/2 <==== AB = 15/2

Answer:

c on edg...

Step-by-step explanation:

So the right answer is 1 1/6.

Look at the attached picture

Hope it will be helpful to you..

Good luck on your assignment

~pragya

Answer:

[tex]1 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex] \frac{7}{6} [/tex]

[tex]1 \frac{1}{6} [/tex]

Answer:

Step-by-step explanation:

The box plot shows all three quartiles, where the first one is 45, the second quartile is 50 and the third quartile is 67 (remember that there are only three quartiles in a dataset).

Now, the interquartile range is defined as the difference between the third and first quartile, which in this case is 67 - 45 = 22.

Therefore, the interquartile range is 22.

Answer:

1800

Step-by-step explanation:

Answer:

x = 81

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of the triangle, thus

x = 23 + 58 = 81

Answer:

Step-by-step explanation:

21

Answer:

40.186 Mb

Step-by-step explanation:

14.2% of 283 megabytes have been downloaded.

To find a percent of a number, multiply the percent by the number. Change the percent to a decimal by dividing the percent by 100 which means move the decimal point of the percent two places to the left.

14.2% of 283 Mb =

= 14.2% * 283 Mb

= 0.142 * 283 Mb

= 40.186 Mb

Answer: 40.186 Mb

Answer: p= 18

Step-by-step explanation: (See pic for work)

Answer:

Step-by-step explanation:

above is correct