Which rule was used to translate the image?

Answer:

$272

Step-by-step explanation:

We're going to make an equation

we'll make x hours

5x=80

solve for x and you get 16 dollars an hour

16 times 17 is 272

Answer:

width=14 &Length = 70( can add unit behind the answer e.g.cm or mm etc..)

Step-by-step explanation:

we know that in a rectangle not all side are same compare to a square..

therefore:

1) write the formula for perimeter down

perimeter = the sum of all side

perimeter = 2x(width) + 2x(length)

P=2(w)+2(L)

2) substitute into the equation

P =2(w)+2(L)

84=2(w)+2(5*w)

3) perform opposite operation to make w become the subject of the formula inorder to find width

48=2(w)+2(5*w)

48=2w+10w

48=12w

48/12=12w/12( the twelves cancels out)

7=w or the width is 7

4) rewrite the formula and solve

P=2(w)+2(L)

P =2(7) + 2(5*7)

P = 14 + 70

P = 48

Answer:

e=49

f=131

d=90

Step-by-step explanation:

Answer:

$41 - $a =$ 10

Step-by-step explanation:

$41 - $a =$ 10

$a = $ 41 - $10

$a= $ 31

Answer:

Yes, because the more pies ordered the more money it will cost to buy them all

Step-by-step explanation:

total cost is not proportional to the number of pies.

the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.

given  Fred is ordering pies for a family reunion. Each pie costs $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Fred is ordering pies for a family reunion. Each pie cost $4.50. For orders smaller than a dozen pies, there is a $5 delivery charge.

Let us draw a table for the number of pies and the total cost

Number of pie                           Total Cost  

1                                                 $4.50+5=$9.50

2                                                  $9+5=$14

3                                               $13.50+5=$18.50

4                                                  $18+5=$230

5                                               $22.50+5=$26.50

now Total cost/number pies = 9.50/1 is not equals to 14/2

Therefore the total cost is not proportional to the number of pieces

Learn more about proportionalities here:

https://brainly.com/question/3254974

#SPJ5

It will take 12 seconds until Hudson and Knox have run the same number of feet.

Let's denote the time it takes until Hudson and Knox have run the same number of feet as "t" (in seconds).

The distance Hudson runs can be calculated by multiplying his speed (8.8 feet/second) by the time "t". Thus, the distance Hudson covers is 8.8t feet.

Knox, on the other hand, had a head start of 30 feet. So the distance Knox covers can be calculated by multiplying his speed (6.3 feet/second) by the time "t" and adding the head start of 30 feet. Thus, the distance Knox covers is 6.3t + 30 feet.

To find the time when both runners have covered the same distance, we set their distances equal to each other:

8.8t = 6.3t + 30

Simplifying the equation:

2.5t = 30

Dividing both sides by 2.5:

t = 30 / 2.5

t = 12

Therefore, it will take 12 seconds until Hudson and Knox have run the same number of feet.

Learn more about same number here

https://brainly.com/question/17060199

#SPJ11

The given statement: n(n+1)(2n+1) is divisible by 6 for all positive integers n.

Step-by-step explanation: We need to prove that n(n+1)(2n+1) is divisible by 6 for all positive integers n using mathematical induction.

Step 1: First, lets prove the statement for the smallest possible value of n. The smallest value of n is 1. So, let's check whether the given statement is true for n = 1 or not.

\(LHS = 1(1+1)(2*1+1) = 6\)

It is divisible by 6. Hence, the statement is true for n=1.

Step 2: Let's assume that the statement is true for n=k. So, we can say that n(n+1)(2n+1) is divisible by 6 for n=k. i.e., n(n+1)(2n+1) = 6a (for some integer a).

Step 3: We need to prove the statement is true for n=k+1.

So, we need to prove that (k+1){(k+1)+1}[2(k+1)+1] is divisible by 6

Using the assumption we made in step 2.

\(LHS = (k+1){(k+2)}[2k+3] = (k+1)(k+2)(2k+3)LHS = (2k+3)k(k+1)(k+2)LHS = 2[k(k+1)(k+2)] + 3[k(k+1)]\)

Now, k(k+1)(k+2) is divisible by 6 using the assumption made in step 2.

So, LHS = 2[k(k+1)(k+2)] + 3[k(k+1)] is also divisible by 6.

Hence, the statement is true for n=k+1.

Step 4: Using steps 1 to 3, we can say that the given statement is true for n=1 and if it is true for n=k, then it is also true for n=k+1.

Hence, by mathematical induction, we can say that the statement is true for all positive integers n.

Hence, it is proved that n(n+1)(2n+1) is divisible by 6 for all positive integers n.

To know more about mathematical induction visit :

https://brainly.com/question/29503103

#SPJ11

Answer:

it is B.

Step-by-step explanation:

hope this helped!

plz give brainliest!

Answer:

2

Step-by-step explanation:

37x+106=180

37x=74

x=2

Step-by-step explanation:

(f + g)(-1) = f(-1) + g(-1)

f(-1) = -1 -2 = -3

g(-1) = (-1)² + (-1) -6 = -6

(f+g)(-1) = -9

Answer:

(f + g)(- 1) = - 9

Step-by-step explanation:

note (f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x - 2 + x² + x - 6 ← collect like terms

= x² + 2x - 8

To evaluate (f + g)(- 1) substitute x = - 1 into (f + g)(x), that is

(f + g)(- 1)

= (- 1)² + 2(- 1) - 8 = 1 - 2 - 8 = - 9

Answer:

Step-by-step explanation:

The bounds for a 95% confidence interval could be option (B) 72 and 79

We know that the 98% confidence interval has bounds of 73 and 80. This means that if we were to repeat the same experiment many times, we would expect that 98% of the time, the true population mean would fall within this range.

To find the bounds for a 95% confidence interval, we can use the fact that a higher confidence level corresponds to a wider interval, and a lower confidence level corresponds to a narrower interval.

Since we want a narrower interval for a 95% confidence level, we can expect the bounds to be closer to the sample mean. We can calculate the sample mean as the midpoint of the 98% confidence interval

(sample mean) = (lower bound + upper bound) / 2 = (73 + 80) / 2 = 76.5

Next, we can use the formula for a confidence interval:

(sample mean) ± (z-score) × (standard error)

where the z-score depends on the desired confidence level, and the standard error depends on the sample size and sample standard deviation. Since we don't have this information, we can assume that the sample size is large enough (i.e., greater than 30) for the central limit theorem to apply, and we can use the formula

standard error = (width of 98% CI) / (2 × z-score)

For a 98% confidence interval, the z-score is 2.33 (found using a standard normal distribution table or calculator). Plugging in the values, we get

standard error = (80 - 73) / (2 × 2.33) = 1.70

Now, we can use this standard error to calculate the bounds for a 95% confidence interval

(sample mean) ± (z-score) × (standard error) = 76.5 ± 1.96 × 1.70

Simplifying, we get

(lower bound) = 76.5 - 3.33 = 73.17

(upper bound) = 76.5 + 3.33 = 79.83

Therefore, the correct option is (B) 72 and 79

Learn more about confidence interval here

brainly.com/question/24131141

#SPJ4

Julia must sell 21 tacos to meet the requirement .

Given: Price of each taco = $ 3.75

Price of each burrito = $ 6

Total amount of money she needs to earn = $ 330

Also the number of burritos sold= 42.

So the total amount earned on selling these burritos= 42× 6 = $ 252

And as it is given that total money she needs to earn is $ 330 .

so required money= $ 330- $ 252

=$ 78

Thus the total number of tacos she needs to sell = 78/ price of 1 taco

= 78/ 3.75

= 20.8 ≈ 21

Thus Julia must sell 21 tacos to meet the requirement .

To know more about selling and buying refer to:

https://brainly.com/question/27681817

#SPJ13

Answer:

See below for proof.

\(S_{500}=125250\)

Step-by-step explanation:

Given arithmetic series:

Therefore:

\(S_n=1+2+3+...+(n-2)+(n-1)+n\)

\(S_n=1+(1+1)+(1+2)+...+(1+n-3)+(1+n-2)+(1+n-1)\)

\(S_n=1+(1+1)+(1+2(1))+...+(1+(n-3)(1))+(1+(n-2)(1))+(1+(n-1)(1))\)

Let:

Therefore:

\(S_n=a+(a+d)+(a+2d)+...+(a+(n-3)d)+(a+(n-2)d)+(a+(n-1)d)\)

Reverse the order:

\(S_n=(a+(n-1)d)+(a+(n-2)d)+(a+(n-3)d)+...+(a+2d)+(a+d)+a\)

Add the two expressions for Sₙ:

\(2S_n=(2a+(n-1)d)+(2a+(n-1)d)+(2a+(n-1)d)+...+(2a+(n-1)d)\)

Therefore, the term (2a + (n – 1)d) has been repeated n times:

\(2S_n=n(2a+(n-1)d)\)

Divide both sides by 2:

\(S_n=\dfrac{1}{2}n(2a+(n-1)d)\)

\(S_n=\dfrac{1}{2}n(a+a+(n-1)d)\)

Replace  a with  a₁  (first term) and a + (n – 1)d  with  aₙ (last term):

\(S_n=\dfrac{1}{2}n(a_1+a_n)\)

To find the sum of the series 1 + 2 + 3 + ... + 500, substitute the following values into the formula:

Therefore:

\(\implies S_{500}=\dfrac{1}{2}(500)(1+500)\)

\(\implies S_{500}=250(501)\)

\(\implies S_{500}=125250\)

Answer:

Hey there,

The answer is below!!

Step-by-step explanation:

Knowing that those vectors start at the point (0,0) we can "think" them as lines.

As you may know, two lines are parallel if the slope is the same, then we can find the "slope" of the vectors and see if it is the same.

A) the vectors are: (√3, 1) and (-√3, -1)

You may remember that the way to find the slope of a line that passes through the points (x1, y1) and (x2, y2) is s = (y2 - y1)/(x2 - x1)

Because we know that our vectors also pass through the point (0,0)

then the slopes are:

(√3, 1) -----> s = (1/√3)

(-√3, -1)----> s = (-1/-√3) =  (1/√3)

The slope is the same, so the vectors are parallel.

Part B:

The vectors are: (2, 3) and (-3, -2)

the slopes are:

(2, 3) -----> s = 3/2

(-3, -2)----> s = -2/-3 = 2/3

the slopes are different, so the vectors are not parallel.

Answer:

27.7 degrees

Step-by-step explanation:

We can use the inverse sine to find the angle x as we are given the opposite sided length and the hypotenuse

x = sin-1(13/28)

x = 27.66

x = 27.7 (round to tenths)

The correct statement is c. The Adjusted R-squared is a measure used in multiple regression analysis that is between 0 and 1. It is different from the R-squared value in simple linear regression.

The Adjusted R-squared can decrease if the addition of another X regressor does not sufficiently lower the sum of squared residuals (SSR) relative to the impact of increasing the number of predictors (k). It measures the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size, rather than the ratio of the sum of squared residuals to the total sum of squares. It provides a measure of how well the regression model fits the data, and it ranges between 0 and 1. A value closer to 1 indicates that a higher proportion of the variance in the dependent variable is explained by the predictors.

Adding another X regressor to the multiple regression model can impact the Adjusted R-squared. If the additional regressor does not significantly contribute to reducing the sum of squared residuals (SSR) relative to the increase in the number of predictors (k), the Adjusted R-squared can decrease. This means that the added regressor does not improve the model's ability to explain the variance in the dependent variable adequately.

However, the Adjusted R-squared does not directly measure the ratio of the sum of squared residuals to the total sum of squares. Instead, it represents the proportion of the variance explained by the predictors, adjusted for the number of predictors and the sample size. It penalizes models with a large number of predictors that may overfit the data, thereby providing a more reliable measure of the model's goodness of fit.

Learn more about squared residuals here: brainly.com/question/30641534

#SPJ11

Answer:

There are 4 sixteenths in one-fourth. To find how many sixteenths are in one-fourth, we need to divide 1/4 by 1/16.

Step-by-step explanation:

There are 4 1/16's in 1/4 inch after making a linear equation x(1/16) = 1/4 the answer is 4.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

The expression can be defined as the combination of constants and variables with mathematical operators.

Let x be the number of 1/16 in 1/4 inch

x(1/16) = 1/4

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

After simplification:

x = 16/4

x = 4

Thus, there are 4 1/16's in 1/4 inch after making a linear equation x(1/16) = 1/4 the answer is 4.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

Step-by-step explanation:

The dimension of the basis is {[1 0 0 2], [-1 1 0 0]}.

To find a basis for the subspace S = span {[1 -1 0 2], [3 -5 4 8], [0 1 -2 -1]}, we can use the same method as in the example. First, we put the vectors in a matrix and row-reduce it:

[1 -1 0 2]
[3 -5 4 8]
[0 1 -2 -1]

R2 - 3R1 -> R2
R3 -> R3 + 2R1

[1 -1 0 2]
[0 -2 4 2]
[0 1 -2 -1]

-1/2R2 -> R2

[1 -1 0 2]
[0 1 -2 -1]
[0 1 -2 -1]

R3 - R2 -> R3

[1 -1 0 2]
[0 1 -2 -1]
[0 0 0 0]

We can see that the last row is all zeros, so we have only two pivots and one free variable. This means that the dimension of the subspace S is 2. To find a basis, we can write the pivots as linear combinations of the original vectors:

[1 -1 0 2] = [1 0 0 2] + [-1 1 0 0]
[0 1 -2 -1] = [0 1 -2 -1]

Therefore, a basis for S is {[1 0 0 2], [-1 1 0 0]}.

Visit here to learn more about subspace:

brainly.com/question/31691975

#SPJ11

Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

The slope of the side connecting (-3,-2) and (-5,2) is -2/2 = -1.

The slope of the side connecting (3,0) and (1,4) is (4-0)/(1-3) = 4/-2 = -2.

To find the slope of a line, we use the formula:

slope = (change in y)/(change in x)

For the side connecting (-3,-2) and (-5,2), we can calculate the change in y as 2 - (-2) = 4 and the change in x as -5 - (-3) = -2. Therefore, the slope is given by:

slope = (4)/(-2) = -2/2 = -1.

Hence, the slope of the side connecting (-3,-2) and (-5,2) is -1.

For the side connecting (3,0) and (1,4), we calculate the change in y as 4 - 0 = 4 and the change in x as 1 - 3 = -2. Applying the slope formula, we have:

slope = (4)/(-2) = -2.

Therefore, the slope of the side connecting (3,0) and (1,4) is -2.

In summary, the slope of the side connecting (-3,-2) and (-5,2) is -1, and the slope of the side connecting (3,0) and (1,4) is -2. The slopes represent the rate of change between two points on the respective sides of the quadrilateral.

Learn more about slope here:

brainly.com/question/3605446

#SPJ11

Answer:

1/2

Step-by-step explanation:

The solution of the equation y = (2/3)x + 3 is 5/3

The given equation is

y = (2/3)x + 3

The slope of the line is the change in y coordinates with respect to the change in x coordinates.

This is the linear equation in the the slope intercept form

y = mx + b

Where m is the slope of the line

b is the y intercept

y is the y coordinates

x is the x coordinates

The value of x = -2

Substitute the value of x in the equation

y = (2/3) × -2 + 3

Do the arithmetic operations

= -4/3 + 3

Add the numbers

= 5/3

Therefore, the solution is 5/3

I have solved the question in general, as the given question is incomplete

The complete question is:

What is the solution of the equation y = (2/3)x + 3x, when x = -2?

Learn more about slope intercept form here

brainly.com/question/9682526

#SPJ4

Answer:

7%

Step-by-step explanation:

\(\frac{2.45}{35} = \frac{x}{100}\)

\(2.45*100\) and \(35x\)

\(\frac{245}{35} = \frac{35x}{35}\)

\(245/35=7\)

C. Multiplication property

Properties of equality and congruence are properties that show how equations or shapes can be changed but remain equal.

Properties of Equality

Since this question deals with an equation, not a shape, the properties of equality will be used. The most common properties of equality include:

The important thing to note is that whatever is done to one side, must be done to both. No matter what operation it is, if you change the equation you must change both sides equally.

Solving for X

To find the correct property, we need to solve for x. Do this by isolating the variable.

First, let's rewrite the equation.

Now, we need to find a way to isolate the variable. To isolate x, we need to get rid of the denominator, 5. Do this by multiplying both sides by 5. This will cancel out the denominator on the left side. Remember to multiply on both sides.

Then, simplify the equation

To solve this equation, we multiplied both sides by the same number. This matches the definition of the multiplication property of equality, so that must be the correct answer.

Answer:

A U { } = A

Step-by-step explanation:

Union is one of the operations that are performed on sets. In union, the elements of involved sets are combined and repetitive elements are removed (written only once)

Given

 A U { } = ?

Whenever union will be taken of any set and empty set the answer will be the set.

Similarly, when union of set A will be taken with empty set the result will be set A.

Hence,

A U { } = A

Answer:

200.96

Step-by-step explanation:

64x3.14=200.96

Answer:

A= 200.96in2

Step-by-step explanation:

8×8=64

64×3.14=200.96

Answer:

go to mathaway.com

Step-by-step explanation: