If you use a scale factor of 15 to create a circle with radius 18 cm, what is the radius of the original circle you dilated?

Answer:

-35%

Step-by-step explanation:

What is the percent decrease from

80 to  52 ?

Answer:  -35 %

Answer:

-35%

Step-by-step explanation:

52 - 80/80 x 100% = -35%

Answer:

pushin p

Step-by-step explanation:

pushin p

Answer:

Exact form: 13/4

Decimal form: 3.25

Mixed form: 3 1/4

Step-by-step explanation:

The expression for the perimeter is P = 12x - 16

The given parameters are

Length = 3x + 1

Width = 3x - 9

The perimeter is calculated as

P = 2 * (Width + Length)

So, we have

P = 2 * (3x + 1 + 3x - 9)

Evaluate

P = 2* (6x - 8)

Expand

P = 12x - 16

Hence, the expression for the perimeter is P = 12x - 16

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Answer:

92.7 ft

Step-by-step explanation:

Answer:

5.75 L

Step-by-step explanation:

2(1500mL + 375mL + 1L)

=2(1875mL + 1L)

=2(1.875L + 1L)

=2(2.875)

=5.75

The recipe will yield 5.75 liters (L) of punch when doubled.

To find the total volume of punch that the recipe will yield if doubled, we need to add the amounts of each ingredient and then multiply by 2.

Original recipe:

Fruit punch: 1,500 mL

Pineapple juice: 375 mL

Ginger ale: 1,000 mL (since 1 L = 1,000 mL)

Total volume of punch in the original recipe:

= 1,500 mL + 375 mL + 1,000 mL

= 2,875 mL

Now, if we double the recipe, we need to multiply the total volume by 2:

Total volume of punch when doubled = 2×2,875 mL

= 5,750 mL

To convert this to liters (L), we divide by 1,000 since 1 liter is equal to 1,000 mL:

Total volume of punch when doubled = 5,750 mL / 1,000

= 5.75 L

Hence, the recipe will yield 5.75 liters (L) of punch when doubled.

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The number of degrees below zero is given by A = 56° F

Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:

If x is positive, then f(x) = x

If x = 0, then f(x) = 0

If x < 0, then f(x) = -x

Given data ,

Let the initial temperature be represented as T

Let the number of degrees below zero be A

Now , the value of T is

T = -56° F

From the modulus function , we get

The value of the modulus function is always non-negative.

So , the measure of A = | T |

A = | -56 |

A = 56° F

Hence , the number of degrees below zero is 56° F

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Answer: It will take him 38 weeks.

Step-by-step explanation:

We will model the situation by an equation.

Leon already knew 24 appetizer recipes so it will be permenant. He will learn to more each week so we can achieve the expression . 24 + 2x where x is the number of weeks.

If we want to know the number of weeks it will take him to learn 100 appetizer recipes then we will have to set the equation equal 100.

24 + 2x = 100   Now solve for x

-24         -24

2x = 76

x = 38

The graph of the equation y = -7/2 = -3.5 consists of all the pairs of points (x, y = -7/2). This graph constitutes a line with infinite points.

To plot the graph, we plot some points and then we join them:

• (-4, -7/2),

• (-2,-7/2),

• (0, -7/2),

• (0,-7/2),

• (4,-7/2).

Plotting the points and then joining them, we get:

Answer:

w < -2/45

Step-by-step explanation:

To solve the inequality, solve for w.

Divide each side by 10:

-4/9 > 10w

-2/45 > w

So, the solution to the inequality is w < -2/45

Answer:

w<-2/45

w∈(-∞,-2/45)

Step-by-step explanation:

10w<-4/9  /10

w<-2/45

w∈(-∞,-2/45)

Answer:

b or d

Step-by-step explanation:

The answers are a) (f+g)x = 4x+15, b) 39 and c) the animals adopted in 6 months are 24 and there were already 15 animal at the shelter.

An expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) is called a function.

Given that, the function f(x) = 3x + 10 represents the number of animals adopted at one shelter, and the function g(x) = x + 5 represents the number of animals adopted at another shelter, where x is the number of months.

a) (f+g)x = f(x) + g(x)

= 3x+10 + x+5

= 4x+15

∴ (f+g)x = 4x+15

b) (f + g)(6)

Put x = 6 in (f+g)x = 4x+15

∴ (f + g)(6) = 4(6)+15

= 24+15

= 39

c) It means, the animals adopted in 6 months are 24 and there were already 15 animal at the shelter.

Hence, the answers are a) (f+g)x = 4x+15, b) 39 and c) the animals adopted in 6 months are 24 and there were already 15 animal at the shelter.

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Answer:

Step-by-step explanation:

Part A: (f + g)(x) = 4x + 15.

My work for Part A:

Step 1: Write the functions without the parentheses: x + 5 + 3x + 10 .

Step 2: Rewrite the function so like terms are next to each other: x + 3x + 5 + 10.

Step 3: Combine like terms: x + 3x = 4x, and 5 + 10 = 15.

Step 4: Write the final function in standard form: (f + g)(x) = 4x + 15.

Part B: (f + g)(6) = 39.

My work for Part B:

Step 1: Write the first function substituting x for 4: f(6) = 6 + 5.

Step 2: Solve the function: f(6) = 6 + 5 = 11.

Step 3: Write the final answer for the first function: f(6) = 11.

Step 4: Write the second function substituting x for 4: g(4) = 3 x 6 + 10.

Step 5: Solve the function: g(4) = 3 x 6 = 18, and 18 + 10 = 28.

Write the final answer for the second function: g(4) = 28.

Step 6: Add the output answers together: 11 + 28 = 39.

Step 7: Write the final output answer for both functions: (f + g)(4) = 39.

Part C: 39 represents the total number of animals adopted at two shelters in 6 months.

The value of LO if RU is 6 inches is solved to be 30 inches

This is a term used in geometry to mean that the respective sides of the polygons are proportional and the corresponding angles of the triangles are congruent

Hence assuming the corresponding angles of the polygon are congruent then the side should be in proportions

Examining the figure when LM is 45 inches, and RS is 9 inches

the constant of proportionality from quadrilateral RSTU to quadrilateral LMNO is 5

9 * 5 = 45

when RU = 6 inches

6 * 5 = 30 inches

hence LO is 30 inches

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Volume is a three-dimensional scalar quantity. The item is the cereal box.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

For an item to have measurable volume, the item must have space and must have a closed surface. Therefore, the item is the cereal box.

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Let's let w = the width of the rectangle.  If the length is 10 yards less than 3 times the width, then the length is 3w - 10.

How do we find the area?  Length times width, right?

So, we have w(3w - 10) = 77.  Distributing, we get 3w2 - 10w = 77.

We need to put it all on one side, so we subtract 77 from both sides.

3w2 - 10w - 77 = 0

Now, we have to factor the left side. To do this, we multiply 3(-77) = -231.  What are two factors of -231 that add up to -10? How about -21 and 11?  -21(11) = -231 and -21 + 11 = -10.

This may not be how you are taught, but we are now going to split -10w into -21w + 11w and plug that into our equation.

Sooooo, now we have 3w2 - 21w + 11w - 77 = 0

Next, we are going to look at the first two terms, 3w2 - 21w.  What is common between the two? 3w. Factoring out 3w, we get 3w(w - 7).

Now, the second two terms, 11w - 77. What is common? 11. Factoring out 11, we get 11(w - 7).

Putting all of that together, we now have 3w(w - 7) + 11(w - 7) = 0.

I can explain why and make it more confusing, so I'll just tell you that, since the w - 7 is the same in both parentheses, we keep that as one set of parentheses and combine what's in front into a second set of parentheses.

So, we have (w - 7)(3w + 11) = 0

Lastly, for the left side to equal 0, then either w - 7 and/or 3w + 11 has to equal 0, right?

We pull each out and set them equal to 0.

w - 7 = 0

     w = 7

If we plug in 7, we get (7-7)(3(7) + 11) = (0)(21+11) = 0(32) = 0, which is what we want.

3w + 11 = 0

        3w = -11

          w = -11/3

If we plug -11/3 into the same equation, we'd get 0, again what we want.  However, we can't have a negative length!  Therefore, -11/3 is out as an answer.

Our width is 7.  Since the length is 3w - 10, we plug in 7 and get 3(7) - 10 = 21 - 10 = 11.

Let's check. Length times width = 7(11) = 77. Check!

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

She made 118% profit.

Step-by-step explanation:

\((x+2)^2 - 1\cdot(x-5) = x^2 + 2\cdot2x + 2^2 - (x - 5) = x^2 + 4x + 4 - x + 5 = x^2 + 3x + 9\)

Answer: x=-30

Step-by-step explanation: First use distributive property which then you would get \(\frac{2}{5} x+\frac{2}5} 10 = -8\). Then simplify it which is \(\frac{2}{5} x+4=-8\\\)

Then subract 4 from each side

2/5x = -12

Use cross muplication. The answer is -60x=2 x=-30

To calculate the future value of the investment, we can use the formula for compound interest:

\(\sf A = P \left(1 + \frac{r}{n}\right)^{nt}\)

where:

\(\sf A\) = the future value of the investment

\(\sf P\) = the initial principal (amount invested)

\(\sf r\) = the interest rate (as a decimal)

\(\sf n\) = the number of times interest is compounded per year

\(\sf t\) = the number of years

In this case, Saylin received $325 and plans to invest it for 4 years at an interest rate of 4.25% compounded annually.

Substituting the values into the formula, we have:

\(\sf A = 325 \left(1 + \frac{0.0425}{1}\right)^{(1 \times 4)}\)

Simplifying the equation:

\(\sf A = 325 \times 1.0425^4\)

Calculating the expression, we find:

\(\sf A \approx 383.87\)

Therefore, the amount of money in the account after 4 years will be approximately $383.87. Thus, the correct option is B) 383.87.

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y = 2/3x+5 (eq. 1)

7x - 3y = 15 (eq. 2)

Substituting equation 1 into equation 2,

Replacing this result into equation 1,

The answer is (0,5)

The values that represent outputs of the function are given as follows:

8, 3, -5, -2 and 12.

The standard definition of a function is given as follows:

y = f(x).

In which:

Considering the table given in this problem, the input and output variables are given as follows:

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Answer: B C and D

Step-by-step explanation:

The approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

a) We have:

mean u = 19.0 miles,

\(\rm \sigma = 5.1 \ miles\)

According to the empirical rule, the area between \(\mu - \sigma\) and \(\mu + \sigma\) is 99.7%

\(\mu - \sigma = 19- 5.1 = 13.9\)

\(\mu + \sigma = 19+5.1 = 24.1\)

b) = P(8.8 < X < 29.2)

\(\rm P(\dfrac{8.8-\mu}{\sigma } < \dfrac{X-\mu}\sigma < \dfrac{29.2-\mu}{\sigma})\)

\(\rm P(\dfrac{8.8-19}{5.1} < Z < \dfrac{29.2-19}{5.1})\)

P(-2 < Z < 2)

Thus, the approximately 99.7% of the students have commute distances between 13.9 miles and 24.1 miles, the area within two standard deviation is 95%

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The three cases that one can choose are:

1. Population variances are unknown but assumed equal

2. Population variances are unknown and not assumed equal

3. Population variances are known.

Population Variance:

Population variance is a measure of how a set of data points are distributed. Specifically, it quantifies the mean squared deviation from the mean. Therefore, if all data points are very close to the mean, the variance will be small. If the data points are spread over a large area, the variance will be large.

1.  Population variances are unknown but assumed equal:

Population Variance Unknown, but the same for small sample sizes. If the variances are equal, try to average them together. Equal does not mean identical. Two variances can be statistically equal but numerically different.

2.  Population variances are unknown and not assumed equal

Heteroscedasticity (heteroscedasticity) affects the Type I error rate and can lead to false positive results. When comparing two or more sample means, such as in a 2-sample t-test or ANOVA, large differences in variances obscure the differences between the means and can lead to false conclusions.

3. Population variances are known.

If the population variance is known, the mean difference is normally distributed. The variance of the difference is the sum of the variances divided by the sample size.

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