Need help rn will give brainlyest if correct answer with explaining
unit ratio

Need Help Rn Will Give Brainlyest If Correct Answer With Explainingunit Ratio

Answers

Answer 1

Answer: The cost per bag is $27

Step-by-step explanation:

Divide 135 by 5 = 27

Unit ratio means that if you know the rate per unit, you can calculate the cost by multiplying the constant rate by the number of units. In this question, the rate is $27 and the unit is the bag.

The ratio looks like

1:27 as 2:54 as 3:81 as 4:108 as 5:135

They are all equivalent to 1/27

y = 27x is another way of writing an equation for this ratio.


Related Questions

how would I find the equation of this graph

how would I find the equation of this graph

Answers

Answer:

y = sec(x-2) - 1

Step-by-step explanation:

We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.

What is the best description of originality?

nonobvious

special or interesting

convergent

having a low probability, unique

Answers

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

To know more about Originality.

https://brainly.com/question/31916017

#SPJ11

1. Five-sixths of the students in a math class passed the first test. If there are 36 students in the class, how many did not pass the test? *

Answers

Answer:

(1/6) of the students did not pass.

Ans: (1/6)30 = 5 of the students did not pass

To solve this question, we need to first figure out, in fractional form, the number of students who did not pass. The problem tells us that 5/6 of the students passed. Therefore, we know that 1/6 of the students did not pass, because 5/6 + 1/6 = 1. So, all we need to do is multiply 1/6 by the total number of students:

1/6 * 36 = 6

So, 6 students did not pass.

If 5/6 passed, then 1/6 did not pass. So, 1/6 of 36 students
1/6 x 36=
Cross cancel, 6 goes into 6, 1 time and 6 goes into 36, 6 times. 1 x 6 = 6
6 students did not pass.

5 people cleared a plot of land in 15 days.How many people would i need to hire to clear three times that plot in 5 days​

Answers

Answer:

45 people

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

ln 15 days 5ppl work

ln 15 days if three times of that ppl work=5×3

=15ppl

So in 1 day=15×15\5 ppl

=45ppl

lt takes 45ppl to clear three times the plot in 5 days.

100 POINTS PLZ HELP ME

This graph shows a proportional relationship.




What is the constant of proportionality?


Enter your answer as a ratio in simplified form by filling in the boxes.


$$


A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 1 over 4 end fraction comma 3 over 8 end fraction right parenthesis.

Answers

Answer:

I dont see a graph, but the constant of proportionality the ratio between two directly proportional quantities. two quantities are directly proportional when they increase and decrease at the same rate

Step-by-step explanation:

if you add a graph, ill edit my answer

hope this helps!

How to Calculate an Unknown Total When You Know the Amount of the Percent

Answers

Answer:

Let A be the amount of the percentage, P% the percentage, and x be the unknown total, then we can set the following equation:

\(A=x\cdot\frac{P}{100}\text{.}\)

Therefore, to find the total amount we solve the above equation for x:

\(\begin{gathered} A=x\cdot\frac{P}{100}, \\ \frac{A}{P}\cdot100=x\text{.} \end{gathered}\)

Example: If we know that the 30% of x is 60, then:

\(x=\frac{60}{30}\cdot100=200.\)

A hose fills a hot tub at a rate of 2.82

gallons per minute. How many hours will it take to fill a 303
​-gallon
hot​ tub?

Answers

Answer:

Step-by-step explanation:

60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours

If APR on credit card is 17.8% what is the daily percentage rate (DPR)?

Answers

The daily percentage rate (DPR) for the given Annual Percentage Rate (APR) on credit card is 17.8% is equal to 0.048%.

Given the Annual Percentage Rate (APR) on credit card is 17.8%.

Now, we need to find the daily percentage rate (DPR) for the given yearly percentage on credit card.

To find your current annual percentage rate, look at your monthly statements. To determine the daily percentage rate (DPR), divide the annual percentage rate (APR) by 365 (the number of days in a year).

So, given APR = 17.8%

Now, daily percentage rate will be:

⇒ Daily percentage rate = Annual Percentage Rate ÷ 365

DPR = APR / 365

⇒ DPR = 17.8% ÷ 365

⇒ DPR = 0.048%

Therefore, daily percentage rate (DPR) is equal to 0.048%.

Learn more about Percentage rates:

https://brainly.com/question/10795072

#SPJ1

f(x)=4x 2 +6x−2 \text{Find }f(-5) Find f(−5)

Answers

The value of f(-5) for the given function will be either 100 or 70.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

Given the function,

\(f(x)=4x 2 +6x−2 \text\)

If a cap is the cross product

 \(6x−2 \text\) = 0

So,

f(x) = 4x²

SO,

f(-5) = 100

If a cap is the dot product

\(6x−2 \text\) = (6x)

So,

f(-5) = 100 + 6(-5) = 70

Hence the value of the function at -5 will be 100 or 70.

For more about the function

brainly.com/question/23712366

#SPJ1

a class of 15 students had a spelling test condsisteting of ten words. the number of spelling mistakes made by each student is listed in the data below.
1, 2 ,1 ,0 ,3 ,1 ,2 ,3 ,1 ,2 ,0 ,4 ,2 ,3, x
A: If there are 2 modes, what are the possible values of x?
B: If there is exactly one mode, write a possible value for x, and the mode.

Answers

Step-by-step explanation:

A: If there are 2 modes, x can be either 1 or 2.

B: To find the mode of the data set, we need to count how many times each number appears.

- 0 appears 2 times

- 1 appears 4 times

- 2 appears 4 times

- 3 appears 3 times

- 4 appears 1 time

Since both 1 and 2 appear 4 times in the data set, there are two modes.

For x, if we add it to the data set, then the mode must be x plus either 1 or 2.

If we choose x to be 2, then the mode would be 2, since 1 and 2 each appear 4 times, and adding another 2 would make it the mode.

So a possible value for x could be 2, and the mode would be 2.

Check off all factors of the given number 9,301​

Answers

Answer:

1, 71, 131, and 9301.

Step-by-step explanation:

Marianna finds an annuity that pays 8% annual interest, compounded quarterly. She invests in this annuity and contributes $10,000 each quarter for 6 years. How much money will be in her annuity after 6 years? Enter your answer rounded to the nearest hundred dollars.

Answers

The amount of money in Marianna's annuity after 6 years will be approximately $300,516.

To calculate the amount of money in Marianna's annuity after 6 years, we can use the formula for compound interest on an annuity:

A = P * ((1 + r/n)^(n*t) - 1) / (r/n)

Where:

A = the final amount in the annuity

P = the regular contribution (each quarter) = $10,000

r = annual interest rate = 8% = 0.08

n = number of compounding periods per year = 4 (since it's compounded quarterly)

t = number of years = 6

Plugging in the values:

A = 10000 * ((1 + 0.08/4)^(4*6) - 1) / (0.08/4)

Calculating this expression:

A ≈ 10000 * ((1.02)^24 - 1) / 0.02

A ≈ 10000 * (1.601032449136241 - 1) / 0.02

A ≈ 10000 * 0.601032449136241 / 0.02

A ≈ 10000 * 30.05162245681205

A ≈ 300,516.22

For more such questions on annuity,click on

https://brainly.com/question/25792915

#SPJ8

Answer:

304200

Step-by-step explanation:

To find the value of P6, use the savings annuity formula

PN=d((1+r/k)N k−1)r/k.

From the question, we know that r=0.08, d=$10,000, k=4 compounding periods per year, and N=6 years. Substitute these values into the formula gives

P6=$10,000 ((1+0.08/4)6⋅4−1)/(0.08/4).

Simplifying further gives P6=$10,000 ((1.02)24−1)/(0.02) and thus P6=$304,218.62.

Rounding as requested, our answer is 304200.

A 2015 Gallup poll of 1,627 adults found that only 22% felt fully engaged with their mortgage provider.

What is the sample size? Give only the number:





The margin of error for this data set is 2.5%. What is the 95% confidence interval for those who say they felt fully engaged with their mortgage provider (rounded to 1 decimal place)?

Answers

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To know more about Confidence interval visit: https://brainly.com/question/29680703

For what value of A is the function, (x), continuous at x=0?

For what value of A is the function, (x), continuous at x=0?

Answers

(i)  \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1

(iii) h(0) = 1/7

The value of λ must be 7, for h(x) to be continuous at x = 0.

The given function is,

h(x) = 1/7, when x = 0

      = 1 - 2 cos 2x, when x < π/2

      = 1 + 2 cos 2x, when x > π/2

      = x cos x/sin λx, when x < 0

Now,

(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3

(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1

(iii) h(0) = 1/7

Since the function is continuous at x = 0, so

\(\lim_{x \to 0}\) h(x) = h(0)

\(\lim_{x \to 0}\) x cos x/sin λx = 1/7

\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7

1/λ = 1/7

λ = 7

Hence the value of λ must be 7.

To know more about continuous here

https://brainly.com/question/30089268

#SPJ1

it takes Barry 634 hours to detail a car. If he worked 81 hours during the week, how many cars did he detail?

Answers

Answer:

He would have detailed 16 cars.

Step-by-step explanation:

912/57=16

" I hoped I helped you matey : - ) "

14 points! PLEASE HELP!!!

14 points! PLEASE HELP!!!

Answers

Step-by-step explanation:

I just did in the other posting. how often did you post it ?

this is a trick question. the triangle at the top is not an isoceles triangle.

we use Pythagoras for an the steps.

so, the left part of the baseline (split by the height) is calculated by

12² = 10² + part²

144 = 100 + part²

part = sqrt(44) = 6.633249581... ft

the other part is then

20 - 6.633249581... = 13.36675042... ft

and the second leg of the large triangle is

leg² = 10² + 13.36675042...² = 278.6700168...

leg = 16.69341238... ft

P = 12 + 16.69341238... + 8 + 8 + 20 = 64.69341238... ft ≈

≈ 64.69 ft

please see the answer to the other posting for more details.

please answer asap!!!

please answer asap!!!

Answers

A statement that is true about the system shown above include the following: B. the objective function for the system has no possible optimal values.

How to determine an equation of this line?

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation:

y - y₁ = m(x - x₁)

Where:

x and y represent the data points.m represent the slope.

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 5)/(1 - 0)

Slope (m) = -4/1

Slope (m) = -4.

At data point (0, 5) and a slope of -4, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -4(x - 0)

y = -4x + 5

y ≥ -4x + 5 (since the solid line is shaded above)

For the second line, we have:

y ≥ 3 (since the solid line is shaded above).

Since the feasible region is unbounded, we can logically deduce that the objective function for this system of equations has no possible optimal values.

Read more on point-slope here: brainly.com/question/24907633

#SPJ1

please answer asap!!!

Please help. I’ll mark you as brainliest if correct!

Please help. Ill mark you as brainliest if correct!

Answers

Answer:

y=1/3x +16/3

Step-by-step explanation:

m=(y2-y1) / (x2-x1)

   =(6-5) (2- -1)

    =1/3

Substitute in m and either point into the point slope form

y=m(x-x1) + y

y=1/3(x- -1) +5

y=1/3(x+1) +5

Now lets distribute the 1/3 to and combine the constants to put the answer in standard form

y=1/3x + 1/3 + 5

y=1/3x +1/3 + 15/3

y=1/3x +16/3

ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!!

Which graph shows a non-proportional tinear relationship between x and y
A
с
B
D

ANSWER ASAP THE RIGHT ANSWER GETS BRAINIEST!!! Which graph shows a non-proportional tinear relationship

Answers

B since all the others are proportional

Determine the rate of this problem -> A 18-kg bag of cherries for $2.65 =_____per kg

Answers

Answer:

$0.14 per kg

Step-by-step explanation:

A 18-kg bag of cherries for $2.65

for 1 kg

\( \frac{2.65}{18} = 0.14 \\ \)

so, the answer is $0.14

2 A square has sides of length (x + 2) cm. A right-angled isosceles triangle has its two equal sides of length (2x + 1) cm. The area of the square is equal to the area of the triangle. (x + 2) cm (2r + 1) cm Diagram NOT accurately drawn (2r + 1)cm a) Write down an equation in .x. b) Show that your equation simplifies to 2x² - 4x - 7 = 0​

Answers

Answer:

2x^2-4x-7=0 according to factorization rule we must have to multiply first and last 2×7 =18 May me this question is mistake

To create a chocolate blend chocolate in two concentrations 61% cocoa and 51% cocoa are combined together if 18 ounces of the 61% chocolate is used

Answers

Answer:

To create a chocolate blend using 61% cocoa and 51% cocoa, 18 ounces of the 61% chocolate and an appropriate amount of the 51% cocoa are combined together. The exact amount of 51% cocoa required will depend on the desired concentration of the final blend.

Step-by-step explanation:

Which graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1?
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = 1.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.
On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = 0, and the horizontal asymptote is at y = negative 1.
Mark this and return

Answers

The correct answer is Option C. The graph represents the function f (x) = StartFraction 1 Over x EndFraction minus 1 is On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 1, and the horizontal asymptote is at y = 0.

On a coordinate plane, the graph of a hyperbola is shown.

In quadrant 1, one curve opens up and to the right, while in quadrant 3, the other curve opens down and to the left.

The vertical asymptote is at x = -1, and the horizontal asymptote is at y = 0. This hyperbola is symmetrical across both the x and y axes.

The function f(x) = 1/x - 1 has a vertical asymptote at x = 0 because the denominator approaches zero as x approaches zero.

A fraction with a denominator of zero cannot exist.

The horizontal asymptote of this function is y = -1 because as x approaches infinity or negative infinity, f(x) approaches -1.

For more questions on graph

https://brainly.com/question/30665392

#SPJ8

Four sided pyramid with oranges stacked six layers high.
How many oranges?

Answers

Answer:

24

Step-by-step explanation:

i might be misinterpreting the question but i think you would just do 6 × 4 = 24

6 * 4 = 24
So 24 oranges

Luzia ran the 400-meter race 3 times. Her fastest time was 52.3 seconds. Her slowest time was 56.3 seconds. If Luzia’s average time was 54.0 seconds, what was her time for the third race?

Answers

Answer: 53.5 seconds

Step-by-step explanation:

Analyze the graph of the function f(x) to complete the statement. On a coordinate plane, a curved line, labeled f of x, with a minimum value of (0, negative 3) and a maximum value of (negative 2.4, 17), crosses the x-axis at (negative 3, 0), (negative 1.1, 0), and (0.9, 0), and crosses the y-axis at (0, negative 3). f(x)<0 over and what other interval?

Answers

The interval where function f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

We have,

The function f(x) crosses the x-axis at (-3, 0), (-1.1, 0), and (0.9, 0), it means that f(x) is negative for x values less than -3, between -1.1 and 0.9, and greater than 0.

Therefore, we can say that:

f(x) < 0 for x < -3 and -1.1 < x < 0.9

And,

The function f(x) has a minimum value of (0, -3) and a maximum value of (-2.4, 17).

This means that f(x) is positive for x values greater than -2.4. Therefore, we can say that:

f(x) > 0 for x > -2.4

Now,

Combining these inequalities, we can say that f(x) is negative over the intervals (-∞, -3) and (-1.1, 0.9), and positive over the interval (-2.4, ∞).

So,

The interval where f(x) is negative and greater than 0 is:

(-∞, -3) U (-1.1, 0)

Thus,

The interval where f(x) is negative and greater than 0 is (-∞, -3) U (-1.1, 0)

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ1

Any help would be geeat

Any help would be geeat

Answers

Answer:

90 feet

Step-by-step explanation:

==>Given:

Rectangular room measuring 21 feet by 23 feet

==>Required:

Perimeter of the room = the length of all sides of the room

==>Solution:

Using the formula P = 2L + 2W, we can find the perimeter of the rectangular room assuming that length big the room (L) = 23 ft, while the width (W) = 22 ft.

Therefore,

P = 2(23) + 2(22)

P = 46 + 44

P = 90 ft

Perimeter of the room = 90 feet

1) Which choice best represents the height of a clothes dryer. A 1 meter B kilometer c1 centimeter D. 1 millimeter​

Answers

it’s not that hard think harder;)

Michael is going to invest $15,000 into two savings accounts to save money to buy a house.

Bank of Texas account will earn 6.75% in simple interest.
United Texas Bank will earn 8% in simple interest.
What is the sum of the interest the two accounts will earn at the end of 5 years?

Answers

Answer:

Bank of Texas = $10,031.35

United Texas Bank = $10,500.00

Step-by-step explanation:

Bank of Texas

A=P(1+rt)

P=$7,500

r=6.75%

t=5 years

$10,031.35

refer the pic

United Texas Bank

A=P(1+rt)

P=$7,500

r=8%

t=5 years

$10,500.00

refer the sec pic

Michael is going to invest $15,000 into two savings accounts to save money to buy a house.Bank of Texas
Michael is going to invest $15,000 into two savings accounts to save money to buy a house.Bank of Texas

80 POINTS HURRY PLSSS !! a) b) and c) pls

80 POINTS HURRY PLSSS !! a) b) and c) pls

Answers

Answer:

Step-by-step explanation:

Is in the piece joint

80 POINTS HURRY PLSSS !! a) b) and c) pls
Other Questions
what is the clearest statement of the nation-centered focus of the u.s. constitution? question 22 options: a) tenth amendment b) electoral college c) supremacy clause d) reserved powers clause Why multiple sclerosis is so called? observe the tree below. gibbons and orangutans are a____ group; bonobos and chimpanzees are a _____ group. 12,400 x one and one fifth = ________. Will the product of this equation be less than or greater than 12,400? Explain your reasoning? It leads to an increase in income from the industry in the country.It brings about pollution in the environment. That is water and air pollution.It could also lead to deforestation and reduction in the fauna and Fiona in the environment. HELP!!!Select the correct answer.Read the poem "Stopping by Woods on a Snowy Evening" by Robert Frost.Whose woods these are I think I know.His house is in the village, though;He will not see me stopping hereTo watch his woods fill up with snow.My little horse must think it's queerTo stop without a farmhouse nearBetween the woods and frozen lakeThe darkest evening of the year.He gives his harness bells a shakeTo ask if there's some mistake.The only other sound's the sweepOf easy wind and downy flake.The woods are lovely, dark, and deep,But I have promises to keep,And miles to go before I sleep,And miles to go before I sleep.Which is the best explanation of what the phrase miles to go before I sleep symbolizes in Frosts poem?A. age; The speaker is aware of running out of time at the end of his life.B. future; The speaker has a need to keep moving and experiencing life.C. hardship; The speaker has too many problems to overcome in life.D. regrets; The speaker is sorry for mistakes he has made in life. 1. The following is true about a semiheap from a maxheap except:The left and right subtrees are maxheapsThe root is the largest valueNo answer is correctWhen swapping a node with a child, use the child with the larger value2.When you do a heap delete, you have to reheapTrueFalse3.To make a heap from an unordered array, you use:clearNo answer is correctheapCreateheapRebuild Sorry this is non related to math, but how can you message someone its not letting me !! You take out a simple interest loan for the remaining balance ($8004) of the car at a 5% interest rate per year for 6 years. How much interest will you have paid after 6 years? I NEED HELP!!!!!!!!!!!!!!!!!!!!Why did King George II agree to grant Oglethorpe and the trustees a charter to establish the Georgia Colony?A. The trustees promised the king that Georgia would be founded as a royal colony.B. He believed it would help England economically and provide military protection for other colonies.C. He knew a revolution was coming and needed another colony to be loyal to England.D. He was against slavery and liked that Oglethorpe would not allow it in Georgia. environment of equality, justice and inclusiveness is one of the most essential elements of modern society.justify this statement Use synthetic division to determine whether each binomial is a factor of 3x+10 x-x-12 x-1 . A model of a 192 in. Car is 12 in. Long what is the scale used for each of these numbers A stealth bomber is moving at 799km/h west and travels to a top velocity of 1,1325km/h west in 4.8 minutes.What is the stealth bomber's acceleration in m/s?? Triangular prism B is the image of triangular prism A after dilation by a scale factor of 4. If the volume of triangular prism B is 4352 km^3 , find the volume of triangular prism A, the preimage why is it better to read the Declaration of independence instead of watching a video about it erika corporation sold an office building that it used in its business for $600,000. erika bought the building ten years ago for $400,000 and has claimed $100,000 of depreciation expense. what is the amount and character of erika's gain or loss? a bedroom bureau with a mass of 45 kg, includ- ing drawers and clothing, rests on the floor. (a) if the coefficient of static friction between the bureau and the floor is 0.45, what is the magnitude of the minimum horizontal force that a person must ap- ply to start the bureau moving? (b) if the drawers and clothing, with 17 kg mass, are removed before the bureau is pushed, what is the new minimum magnitude? the nurse in the prenatal clinic is taking a nutritional history from a pregnant adolescent. which statement by the client would alert the nurse to a potential concern regarding adequate nutritional intake during the pregnancy? classify the variable as qualitative or quantitative. the number of seats in a school auditorium