Triangle ABC is graphed on a coordinate plane with vertices at A(-3, 7), B(9,-8), and C(-5, -6). If triangle ABC is dilated
by a scale factor of 2 with the origin as the center of dilation to create A'B'C', what will be the coordinates of the dilated
vertex of B'?

By using multiplication and division of integers, it can be calculated that

Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6

What is multiplication and division of integers?

At first it is important to know about integers

Integers are those numbers which has no fractional part. Integer can be positive, negative and zero is also an integer.

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers.

What is division?

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This is a word problem where multiplication and division of integers is required

The original recipe calls for 50 portions, 6oz each

Required yield of the original recipe = 50 \(\times\) 6 = 300 oz

The new recipe calls for 100 portions at 5oz each

Required yield of the new recipe = 100 \(\times\) 5 = 500 oz

Conversion factor of the recipe = \(\frac{500}{300}\) = 1.6

To learn more about multiplication and division of integers, refer to the link-

https://brainly.com/question/28337146

#SPJ4

The width of a rectangular frame with a total area of 140 square inches, we set up an equation using the expressions for the length and width, simplify it, solve for x, and substitute the value of x into the expression for the width.

To solve for the width of a rectangular frame with a total area of 140 square inches, we first need to set up an equation using the given expressions for the length and width.
The formula for the area of a rectangle is length x width. Therefore, we can write:
(2x + 10)(2x + 6) = 140
We can then simplify this equation by expanding the expressions in the parentheses:
4x^2 + 32x + 60 = 140
Next, we can move all the terms to one side and simplify further:
4x^2 + 32x - 80 = 0
Now, we can solve for x by factoring or using the quadratic formula. After finding the value of x, we can substitute it into the expression for the width (2x + 6) to get the final answer.

To know more about rectangular frame visit :

https://brainly.com/question/13937262

#SPJ11

The -value of the test is 1.90. This indicates that the mean processing time is significantly greater than 5.5 hours, supporting the manufacturer's desire to set a standard time required by employees to complete a certain process

The t-value will be equal to 1.39 for the given statistics.

To test if the mean processing time exceeds 5.5 hours, we can use a one-sample t-test.

The null hypothesis is that the mean processing time is less than or equal to 5.5 hours:

H0: µ ≤ 5.5

The alternative hypothesis is that the mean processing time is greater than 5.5 hours:

Ha: µ > 5.5

We will use a significance level of 0.05.

The formula for the t-test statistic is:

t = (X - µ) / (s / √n)

Where:

X = sample mean

µ = hypothesized population mean

s = sample standard deviation

n = sample size

Substituting the given values, we get:

t = (6 - 5.5) / (2 / √21) = 1.386

The degree of freedom for the t-test is n-1 = 20.

Using a t-table or calculator, the p-value associated with a t-value of 1.386 and 20 degrees of freedom is 0.093.

Since the p-value (0.093) is greater than the significance level (0.05), we fail to reject the null hypothesis. Therefore, there is not enough evidence to suggest that the mean processing time exceeds 5.5 hours.

To know more about t-value follow

https://brainly.com/question/22848147

#SPJ2

Answer:

OPTION A is correct

39 ounces

Step-by-step explanation:

Given:

The amount of water in the pitcher= 32 ounces

The amount of lemon juice in the pitcher = 7.15 ounces

We were to calculate the most reasonable estimate for the amount of liquid in the pitcher

To do this we need to sum up the Amount of water and Amount of lemon juice in the pitcher because the water is a liquid as well as the lemon juice which is

32 ounces + 7.15 ounces

=39.15 ounces

Therefore, the Estimated amount of liquid in the pitcher is approximately 39 ounces

Answer:

x = -25

x = infinite solutions

Step-by-step explanation for 1:

4(-25) - 10 = 5(-25) + 15

-100 - 10 = -125 + 15

-110 = -110

Step-by-step explanation for 2:

Both equations are the exact same. So whatever number you put, the answer will be right

Answer:

\(1)4x - 10 = 5x + 15 \\ 4x - 5x = 15 + 10 \\ - x = 25 \\ x = - 25\)

\(2)2x + 2 = 2x + 2 \\ 2x - 2x = 2 - 2 \\ 2x(1 - 1) = 0 \\ x = 0\)

The profit to an investor who buys the call for $5.0 in the given scenarios:

(a) Profit = -$5.0

(b) Profit = $0

(c) Profit = $5.0

(d) Profit = $10.0

(e) Profit = $15.0

If the stock price is below the strike price of $40 in 6 months, the call option will expire worthless and the investor will lose the $5.0 premium paid for the call option.

If the stock price is above the strike price of $40 in 6 months, the call option will have some value, which will depend on the stock price at expiration.

(a) If the stock price is $40 at expiration, the call option will have no intrinsic value, and the investor will lose the entire $5.0 premium paid for the call option.

(b) If the stock price is $45 at expiration, the call option will have an intrinsic value of $5.0 (the difference between the stock price and the strike price), and the investor will break even (excluding transaction costs).

(c) If the stock price is $50 at expiration, the call option will have an intrinsic value of $10.0, and the investor will make a profit of $5.0 (excluding transaction costs).

(d) If the stock price is $55 at expiration, the call option will have an intrinsic value of $15.0, and the investor will make a profit of $10.0 (excluding transaction costs).

(e) If the stock price is $60 at expiration, the call option will have an intrinsic value of $20.0, and the investor will make a profit of $15.0 (excluding transaction costs).

In summary, the profit to an investor who buys the call for $5.0 will depend on the stock price at expiration. If the stock price is below the strike price of $40, the investor will lose the entire premium paid for the call option. If the stock price is above the strike price of $40, the investor will make a profit that depends on the difference between the stock price and the strike price.

Learn more about Stock price here

brainly.com/question/15541429

#SPJ4

There are 84 ways to choose five balls in order from a bag that contains 4 identical white balls, 3 identical red balls, and 3 identical blue balls.

To determine the number of ways to choose five balls in order, we can use the concept of combinations. In this scenario, we have a total of 10 balls (4 white + 3 red + 3 blue) in the bag.

To choose five balls, we need to consider different combinations of white, red, and blue balls. We can calculate this using the formula for combinations:

C(n, r) = n! / (r!(n - r)!)

Where n is the total number of balls and r is the number of balls to be chosen.

In this case, we want to choose 5 balls, so the formula becomes:

C(10, 5) = 10! / (5!(10 - 5)!)

Simplifying the calculation:

C(10, 5) = (10 * 9 * 8 * 7 * 6) / (5 * 4 * 3 * 2 * 1) = 252

Therefore, there are 252 ways to choose five balls in order from the given bag.

Learn more about combinations here:

https://brainly.com/question/20211959

#SPJ11

As per the concept of unitary method, the another way to express 8 feet is 2 ²/₃ yards.

In math, unitary method is known as a way of finding out the solution of a problem by initially finding out the value of a single unit, and then finding out the essential value by multiplying the single unit value.

Here we have given that a clothesline rope is 8 feet long.

Now we need to find another way to express 8 feet.

We know that the formula to convert the measurement it to divide the length by the conversion ratio.

As we know that one yard is equal to 3 feet, then we can use this simple formula to convert is written as

=> yards = feet ÷ 3

Here the equivalent yard measurement is written as,

=> yards = 8 ÷ 3

Then we have to convert the improper fraction into mixed fraction form, then we get,

=> 2 ²/₃ yards.

To know more about Unitary method here.

https://brainly.com/question/28276953

#SPJ4

Answer:

(14, - 3 )

Step-by-step explanation:

Under the translation < 6, 0 >

Add 6 to the x- coordinate and 0 to the y- coordinate, that is

B(8, - 3 ) → B'(8 + 6, - 3 + 0 ) → B'(14, - 3 )

Answer:

8.333333333333333

Step-by-step explanation:

Answer:

25/3 - Or in a simpler form 8 1/3

Step-by-step explanation:

I multiplied 15 by 5/9. I hope this helps :)

Answer:

8.5 inches

Step-by-step explanation:

7^2 + b^2 = 11^2

b^2 = 72

hence b = 8.5

Answer:

7.14%

Step-by-step explanation:

Any comparison with the increase or decrease in price has to be compared to the ORIGINAL price. (at the beginning of the month.)

The price increased from $3.50 to $3.75, an increase of $0.25

To find what percent it is use:\(\frac{change}{original}\)×100%

\(\frac{0.25}{3.50}\)×100%

Answer:

7.1428571% increase

7  1/7 % increase

Step-by-step explanation:

To find the percent increase ( we know this is an increase since the amount went up), take the new amount and subtract the original amount

3.75 - 3.50 = .25

Divide by the original amount

.25 / 3.50

.071428571

Multiply by 100 %

7.1428571%

7 1/7 %

In this normal distribution, the chance of choosing a score less than 34 is 0.2266, hence option A is the right response.

In a normal distribution with = 40 and = 8, we will first compute the z-score and then use a z-table to find the likelihood of a score being smaller than X = 34.

Step 1: Use the following formula to determine the z-score: z = (X - µ) / σ z = (34 - 40) / 8 z = -6 / 8 z = -0.75

Step 2: Check a z-table to find the probability attached to the value of z = -0.75. The likelihood is 0.2266.

The likelihood of choosing at random a score lower than 34 in a normal distribution with a mean of 40 and a standard deviation of 8 is 0.2266. The corresponding probability is found by calculating the z-score (-0.75) and consulting a z-table.

In this normal distribution, the chance of choosing a score less than 34 is 0.2266, hence option A is the right response.

To know more about normal distribution visit:

brainly.com/question/15103234

#SPJ11

The 95% confidence interval that estimates the proportion of them that are involved in an after school activity lies between 80.53% and 93.47% .

To find the 95% confidence interval for the proportion of 8th graders involved in after-school activities. The key terms involved in this question are simple random sample, confidence interval, proportion, and after-school activity.

In this case, a simple random sample of 100 8th graders is taken, which ensures an unbiased representation of the population. From this sample, it's found that 87% (or 0.87) of the students are involved in an after-school activity.

To calculate the 95% confidence interval, we need to use the formula:

CI = p ± Z * √(p(1-p) / n)

where CI is the confidence interval, p is the sample proportion (0.87), Z is the Z-score for a 95% confidence interval (1.96), and n is the sample size (100).

Plugging in the values, we get:

CI = 0.87 ± 1.96 * √(0.87(1-0.87) / 100)

CI = 0.87 ± 1.96 * √(0.1131 / 100)

CI = 0.87 ± 1.96 * 0.033

CI = 0.87 ± 0.06468

Thus, the 95% confidence interval is approximately (0.80532, 0.93468).

In conclusion, based on the sample, we can estimate with 95% confidence that the true proportion of 8th graders at the suburban middle school who are involved in after-school activities lies between 80.53% and 93.47%. This means that we can be 95% certain that the actual proportion falls within this range.

Know more about  proportion    here:

https://brainly.com/question/1496357

#SPJ11

Answer:

31. 5v - 4

32. 9 + n

33. n - 1

34. c + 10

35. 2x

35². 24 - 6

36. 3s

37. 3x + 6

38. v / m + 18 (i think?)

39. x - ab

Step-by-step explanation:

hope this helps + is correct

The equation y = 2x + 5 is already in standard form.

Standard form of a linear equation is Ax + By = C, where A, B, and C are constants and A and B cannot be both zero. In this case, A=2, B=1 and C=5, which meets the standard form equation, y = 2x + 5 is already in standard form.

Answer: y = 2x + 5 in standard form is 2x - y = -5

Step-by-step explanation: I hope this helps!

Answer:

(3, 3) (1, -1)

Step-by-step explanation:

Answer:

(1, - 1) , (3, 3 )

Step-by-step explanation:

Given the 2 equations

3 + y - 2x = 0 → (1)

3x² + 2y² - 4xy = 9 → (2)

In (1) subtract 3 - 2x from both sides

y = 2x - 3 → (3)

Substitute y = 2x - 3 into (2)

3x² + 2(2x - 3)² - 4x(2x - 3) = 9 ← distribute and simplify left side

3x² + 2(4x² - 12x + 9) - 8x² + 12x = 9

3x² + 8x² - 24x + 18 - 8x² + 12x = 0

3x² - 12x + 18 = 9 ( subtract 9 from both sides )

3x² - 12x + 9 = 0 ( divide through by 3 )

x² - 4x + 3 = 0 ← in standard form

(x - 1)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 3 = 0 ⇒ x = 3

Substitute these values into (3) for corresponding values of y

x = 1 : y = 2(1) - 3 = 2 - 3 = - 1 ⇒ (1, - 1 )

x = 3 : y = 2(3) - 3 = 6 - 3 = 3 ⇒ (3, 3 )

Answer: so basically 27+3 = 30

Step-by-step explanation

Answer:

46 degree

I hope this will help you

a)the ratio of the heights of the pyramids is 5:3. b)the volume of the larger pyramid is 23.04 cm³.

what is volume  ?

Volume is a measure of the amount of space that a three-dimensional object occupies. It is usually measured in cubic units, such as cubic meters (m³) or cubic centimeters (cm³). The volume of an object can be calculated using different formulas depending on its shape.

In the given question,

a. Let the height of the smaller pyramid be h₁ and the height of the larger pyramid be h₂. Since the two pyramids are similar, their corresponding linear dimensions are in the same ratio as the areas of their bases. Therefore, we have:

(base area of smaller pyramid)/(base area of larger pyramid) = (linear dimension of smaller pyramid)² / (linear dimension of larger pyramid)²

Since the linear dimension is the height in this case, we can substitute the given ratio of the base areas to obtain:

25/9 = (h₁/h₂)²

Taking the square root of both sides, we get:

h₁/h₂ = 5/3

Therefore, the ratio of the heights of the pyramids is 5:3.

b. Since the volume of a pyramid is proportional to the cube of its height, we have:

(volume of smaller pyramid) / (volume of larger pyramid) = (h₁/h₂)³ = (5/3)³ = 125/27

Substituting the given volume of the smaller pyramid, we get:

108 / (volume of larger pyramid) = 125/27

Solving for the volume of the larger pyramid, we obtain:

volume of larger pyramid = (27/125) * 108 = 23.04 cm³ (rounded to two decimal places)

Therefore, the volume of the larger pyramid is 23.04 cm³.

To know more about volume  , visit:

https://brainly.com/question/1578538

#SPJ1

The given function is linear, and it can be expressed in form f(x) = ax + b, f(x) = 1x + 0, or simply f(x) = x.

To determine if the given function is linear, we need to check if it can be expressed in form f(x) = ax + b, where a and b are constants.

The given function is f(x) = (5/1)x.

Let's rewrite the function in the required form:

f(x) = (5/5)x

Since 5/5 = 1, we can simplify the function to:

f(x) = 1x + 0

Here, a = 1 and b = 0.

So, the given function is linear, and it can be expressed in form f(x) = ax + b, f(x) = 1x + 0, or simply f(x) = x.

In Mathematics, a linear function is defined as a function that has either one or two variables without exponents. It is a function that graphs to a straight line. In case, if the function contains more variables, then the variables should be constant, or it might be the known variables for the function to remain it in the same linear function condition.

Visit here to learn more about function:

brainly.com/question/12431044

#SPJ11

The quota of the weighted voting system is between 14.5 and 29

Given: [15: 13,10,6]

First, find the total:

Total weight = 13 + 10 + 6 = 29

Then, find half of the total weight: 29/2 = 14.5

So the quota must be between 14.5 < q ≤ 29

Remember: The given quota(q) is 15

Since the quota is 15, and 14.5 is between 14.5 and 29. Therefore, this voting system is valid

Learn more about quota in weighted voting system on:

https://brainly.com/question/15284194

#SPJ1

To acquire 90000000 views on his channel, he has to upload 20 videos every month.

Every month, he  posts 3 videos to his  channel. An average number of people watch each video. = 1500000

In search of:

How many months must pass before he begins to receive 90,000,000 views on his channel?

Step 1

On his channel, he posts three videos each month.

The average number of views per video is.

3 Videos Receive Views

= 3 * 1500000

= 4,500,000 Views

Number of 4,500,000 views each month

Complete 90000000 Views

Step 2

Total Views/Months = Total Views/Total Views

Days in a month = 90000000/4500000

                             = 20

20 Monthly months in the number

To acquire 90000000 views on his channel, he has to upload 20 videos every month.

20  Months is the right response, so.

To know more about Average number's visit:

https://brainly.com/question/16956746

#SPJ4

The percentage of error in the estimation of Alton is:

13.04%

Given:

Alton estimated that 230 people attended the band concert.

The actual count for attendance was 200 people.

we are asked to determine the percent of error = ?

Percent error

Using this formula

Percent error=Actual attendance -Estimated attendance/Actual attendance

Let plug in the formula

Percent error=230-200/230

Percent error=30/230

Percent error=0.1304×100

Percent error=13.04%

Hence we get the percentage error as 13.04%.

Learn more about Percentage error here:

https://brainly.com/question/5493941

#SPJ4

Answer:

276 unit^2.

Step-by-step explanation:

This area  is the sum of the area of 2 rectangles

= 12 * 13 + 8 * 15

= 156 + 120

= 276.

The office concluded that the driver exceeded the speed limit by 64.3mi/h.

Given that the second cop, who arrived 28 minutes later, was recorded traveling at 60 mph while the patrol officer was traveling 30 miles along the roadway.

According to the mean value theorem, There exists a value of x = c such that f'(c) = [f(b)-f(a)][b-a] if f(x) is continuous on the closed interval [a,b] and differentiable on the open interval (a,b).

This implies the following in "lay man's" terms:

the instantaneous speed (the speed at any given time) must be equal to his average speed

Since the driver is driving along the highway, we can assume his position to be continuous and differentiable

his average speed is defined as:

average speed=[x(b)-x(a)]÷[b-a] where x represents his position

average speed=[30 - 0]÷[(28÷60) - 0]

average speed=30÷0.466

average speed=64.3mi/hr

Since the time is given in minutes, we convert it in hours by dividing it by 60.

Therefore, by the MVT the police officers can determine that at some point in time (even though he was only driving 60mph at the second patrol officer's location) since his average speed was approximately 64.3 mi/hr there was a point in time during the 28 minutes that his speed exceeded 60 mph.

Learn more about mean value theorem from here brainly.com/question/3403246

#SPJ4

Answer: the answer is C.

Step-by-step explanation:

Hamilton Corporation's effective tax rate is 22.5%.

The effective tax rate is a measure of a company's tax burden as a percentage of its pre-tax income. It indicates the proportion of pre-tax income that is paid in taxes.

In this case, Hamilton Corporation has a pre-tax income of $100,000 and a tax expense of $22,500. Therefore, the company paid $22,500 in taxes out of its pre-tax income of $100,000.

The effective tax rate is the ratio of the total tax expense to the company's pre-tax income.

Effective Tax Rate = Total Tax Expense / Pre-tax Income

In this case, the pre-tax income is $100,000, and the tax expense is $22,500. Therefore,

Effective Tax Rate = $22,500 / $100,000 = 0.225 or 22.5%

Learn more about effective tax rate here

brainly.com/question/29805701

#SPJ4