please help me out on this question! (i will give u brainiest)

Please Help Me Out On This Question! (i Will Give U Brainiest)

Answers

Answer 1

Answer:

4(6) + 4(5) + 4(4) = 24 + 20 + 16 = 60 ft^2


Related Questions

What is the term for the digits that exceed the certainty of the instrument?

Answers

The term you're looking for is "uncertain digits."

Uncertain digits refer to the digits in a measurement that exceed the level of certainty provided by the measuring instrument.

Measurements, it is crucial to recognize the limitations of the instruments being used, as this can impact the precision and accuracy of the results.
Precision is the degree to which an instrument can consistently produce the same measurement, while accuracy is the closeness of a measurement to its true value.

Uncertain digits can affect both of these aspects.
To better understand uncertain digits, consider the following step-by-step explanation:
Identify the measuring instrument:

This could be a ruler, thermometer, or any other device used to take measurements.
Determine the instrument's least count:

The least count is the smallest unit the instrument can measure.

A ruler with millimeter markings has a least count of 1 millimeter.
Record the measurement:

When taking a measurement, include all the certain digits (those within the instrument's least count) and one uncertain digit.

The uncertain digit is an estimate, and it represents the best guess within the least count of the instrument.
Keep in mind the limitations:

Recognize that uncertain digits are an inherent part of the measuring process and that they affect the precision and accuracy of the results.
Uncertain digits are the digits that exceed the certainty of a measuring instrument.

It is important to consider these digits and the limitations of the instruments used when conducting experiments or making measurements.

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A small can of beans is 3 in. high with a 1 in. radius and sells for $1.49. Which can of beans is a better deal?

a. 9 in. high; 3 in. radius; sells for $39.95
b. 3 in. high; 2 in. radius; sells for $5.96
c. 3 in. high; 3 in. radius; sells for $13.41

Answers

Therefore, the can of beans that is the best deal is option b, which has the lowest price per unit volume.

What is volume?

Volume is a measure of the amount of space occupied by an object or a substance. It is often measured in cubic units such as cubic centimeters, cubic inches, or cubic meters. The formula for finding the volume of different objects may vary based on their shape and size, but it typically involves measuring the length, width, and height of the object and multiplying them together.

Here,

To determine which can of beans is the better deal, we need to compare their volumes and prices per unit volume.

The volume of the small can of beans is:

V₁ = πr₁²h₁

= π*(1)²*(3)

= 3π

The price per unit volume of the small can is:

P₁ = $1.49 / 3π

≈ $0.157 per cubic inch

For the other cans of beans, we can calculate their volumes and prices per unit volume:

a. V₂ = πr₂²h₂

= π*(3)²*(9)

= 81π

P₂ = $39.95 / 81π

≈ $0.155 per cubic inch

b. V₃ = πr₃²h₃

= π*(2)²*(3)

= 12π

P₃ = $5.96 / 12π

≈ $0.132 per cubic inch

c. V₄ = πr₄²h₄

= π*(3)²*(3)

=27π

P₄ = $13.41 / 27π

≈ $0.165 per cubic inch

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PLEASE HELP AND SHOW WORK! EXPLAIN HOW YOU GOT THE ANSWER I WILL MARK YOU BRAINLIEST!!!

Answers

The height of the cylinder, given the volume and the diameter of the base, would be 2, 592.46 feet

How to find the height of the cylinder ?

The given diameter of the base is 10 inches, so we need to find the radius first. The radius is half the diameter:

Radius (r) = Diameter / 2 = 10 inches / 2 = 5 inches

We also need to convert the radius from inches to feet since the volume is given in cubic feet:

5 inches = 5/12 feet = 0.4167 feet

Volume of a cylinder:

Volume (V) = πr²h

450π = π x (0.4167)^2 x h

450 = (0.4167)^2 x h

h = 450 / (0.4167)^2 = 2, 592.46 feet

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Joe’s broker’s fee schedule is given in the table. Joes current portfolio is worth $50,000. He wants to purchase 50 shares of a company’s stock fir a purchase price of $15 per share.


Joe will need to pay a commission of _____.


The total amount charged by the broker will be ______.


Space 1: $7. 50, $5. 00, $1. 50

Space 2: $17. 50, $15. 50, $15. 0

Answers

Jow will need to pay a commision of $7.50. The total amount charged by the broker will be $17.50

Joes current portfolio is worth $50,000

A purchase price one share =  $15

He wants to purchase 50 shares of a company's stock

Using unitary method the cost of 50 shares would be,

C = 50 × 15

C = $750

Since his portfolio is less than $100000 the amount chanrged by the broker would be equal to the 1% commision plus fees per trade.

First we find the commision.

1 percent of $750

= 1/100 × 750

= $7.5

And the fees per trade = $10

So, the total amount charged by the broker = $10 + $7.5

                                                                     = $17.5

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Find the complete question below.

in the newspaper article referred to in exercise 9.57, 32% of the 1600 adults polled said the u.s. space program should emphasize scientific exploration. how large a sample of adults is needed for the poll if one wishes to be 95% confident that the estimated per- centage will be within 2% of the true percentage?

Answers

To determine the sample size needed for the poll, we can use the formula:

n = (z^2 * p * q) / E^2

where:
n = sample size
z = z-score for the desired level of confidence (95% in this case), which is 1.96
p = estimated proportion (0.32, based on the 32% result from the previous poll)
q = 1 - p
E = margin of error (0.02, or 2%)

Substituting the values, we get:

n = (1.96^2 * 0.32 * 0.68) / 0.02^2
n = 752.65

Rounding up to the nearest whole number, we get a sample size of 753. Therefore, to be 95% confident that the estimated percentage will be within 2% of the true percentage, a sample of at least 753 adults is needed.

Question 85
The distance between the end of the water supply pipe and the sink should be how many times the diameter of the supply pipe?
a. 1-1/2
b. 2 c. 3
d. 4

Answers

The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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How many planes of symmetry does a right pyramid with an isosceles triangle base have?

Answers

A right pyramid with an isosceles triangle base has one plane of symmetry.

How many planes of symmetry does a right pyramid with an isosceles triangle base have?

A plane of symmetry is a plane that can be passed through an object such that the object is divided into two halves that are mirror images of each other.

In the case of a right pyramid with an isosceles triangle base, if a plane passes through the apex (the top point) of the pyramid and is perpendicular to the base, it will bisect the base into two halves that are mirror images of each other. This is the only plane of symmetry that exists for this particular pyramid.

Thus, the right pyramid with isosceles triangle base has one plane of symmetry.

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Find all angle measures in the diagram.
The measure of ZKJL =
The measure of ZNJM =
The measure of ZMJL=

Answers

Answer: 1. 45%

              2. 32%

              3. 67%

given that a test statistic for testing if the true proportion exceeds 0.75 is 1.91. what is the p-value for this test? round to 3 d.p.

Answers

p-value of 0.028 is considered statistically significant at a significance level of 0.05. This suggests that we have strong evidence to reject the null hypothesis in favor of the alternative hypothesis that the true proportion exceeds 0.75.

To calculate the p-value for this test, we need to use the standard normal distribution table or a statistical software.

First, we need to find the area under the standard normal distribution curve to the right of the test statistic of 1.91.

Using a standard normal distribution table, we can find that the area to the right of 1.91 is 0.0287 (rounded to four decimal places).

Since this is a one-tailed test (the alternative hypothesis is that the true proportion is greater than 0.75), the p-value is equal to the area to the right of the test statistic, which is 0.0287.

Therefore, the p-value for this test is 0.028 (rounded to three decimal places). This means that if the null hypothesis (that the true proportion is less than or equal to 0.75) were true, we would expect to see a test statistic as extreme as 1.91 or more extreme in only 0.028 of all possible samples.

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The p-value for the test when the test statistic is 1.91 and we are testing if the true proportion exceeds 0.75 is

approximately 0.028, rounded to 3 decimal places.

Given that the test statistic for testing, if the true proportion exceeds 0.75, is 1.91, we need to find the p-value for this

test and round it to 3 decimal places.

Identify the test statistic

The test statistic provided is 1.91.

Determine the tail of the test

Since we are testing if the true proportion exceeds 0.75, it is a right-tailed test.

Find the p-value

Using a Z-table or statistical software, find the area to the right of the test statistic (1.91) under the standard normal

distribution. This area corresponds to the p-value.

The area to the right of 1.91 in the Z-table is approximately 0.028. Therefore, the p-value for this test is approximately

0.028.

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The price of bike one year ago was Rs.268000.The current price is Rs.290900.what is the increment percentage?

note answer to the nearest whole number.​

Answers

The percentage increment of the bike is 86%

What is Percentage Increment?

Percentage Increment is the percentage measurement of how much a certain figure changes or increases over time. It is the difference between the final value and the initial value, expressed in the form of a percentage.

How to determine this

When the price of a bike one year ago was Rs.268,000

i.e Initial value = Rs.268,000

The current price is Rs.290,900

i.e final value = Rs.290,900

To calculate the percentage increment

Percentage Increase = Final value - Initial value/Initial value * 100%

Percentage increase = Rs.290,900 - Rs.268,000/Rs.268,000 *100%

Percentage Increase = Rs.22,900/Rs.268,000 *100%

Percentage Increase = 2,290,000/268,000

Percentage Increase = 86%

Therefore, the percentage increment is 86%

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add. write your answer in simplest form 7 1/4 +4 5/12

Answers

Therefore, the simplified sum of the expression 7 1/4 and 4 5/12 is 35/3 that is option D, 11 2/3.

What is expression?

In mathematics, an expression is a combination of symbols and/or numbers that represents a quantity or a mathematical relationship between quantities. Expressions can be simple or complex, and can involve arithmetic operations, algebraic operations, functions, and variables.

Here,

To add these mixed numbers, we need to first convert them to improper fractions with the same denominator:

7 1/4 = 28/4 + 1/4

= 29/4

4 5/12 = 48/12 + 5/12

= 53/12

Now, we can add the fractions:

=29/4 + 53/12

To find a common denominator, we can multiply the denominator of the first fraction by 3 and the denominator of the second fraction by 1:

29/4 × 3/3 = 87/12

53/12 × 1/1 = 53/12

Now we have the same denominator, so we can add the numerators:

87/12 + 53/12 = 140/12

We can simplify by dividing the numerator and denominator by their greatest common factor, which is 4:

140/12 ÷ 4/4 = 35/3

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fP=\ (x, y) : y = 3x-1, x ≤ 4, xe N}, find P * 1 State the elements of the following relations: (b) y = 4x (d) x + y >= 20 y = x (a) (c) x + y ​

Answers

Answer:

Step-by-step explanation:

To find P * 1, we need to find all pairs of elements in P that have a difference of 1. Let's start by listing the elements of P:

P = {(1, 2), (2, 5), (3, 8), (4, 11)}

Now, we can find all pairs of elements in P that have a difference of 1:

(1, 2), (2, 5) -> (1, 5)

(2, 5), (3, 8) -> (1, 3)

(3, 8), (4, 11) -> (1, 3)

Therefore, P * 1 = {(1, 5), (1, 3), (1, 3)} = {(1, 5), (1, 3)} (since the last pair is a duplicate).

(b) The given relation is: y = 4x

The elements of this relation are all pairs (x, y) such that y = 4x. For example, (1, 4), (2, 8), (3, 12), etc.

(c) The given relation is: x + y ≥ 20

The elements of this relation are all pairs (x, y) such that x + y is greater than or equal to 20. For example, (1, 19), (2, 18), (3, 17), etc.

(d) The given relation is: y = x

The elements of this relation are all pairs (x, y) such that y = x. For example, (1, 1), (2, 2), (3, 3), etc.

6. age of his son by A two-digit number is such that the sum of the digits is 13 and the product of the digits is 40. Find the number.
7 A two-digit number is less than 6 times the sum of its digits by 1. The difference between the digit is 1. Find the number. ​

Answers

Answer:

6.

solution:

8+5=13

8×5=40

Calculate the surface area of a cylinder below. Use 3.14 for π, round to the nearest tenth, and just enter the number, not the unit.

Answers

The surface area of the cylinder to the nearest tenth is 82.2 in²

What is surface area of cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface.

The surface area of cylinder is expressed as;

A = 2πr(r+h) . Where r is the radius and h is the height of the cylinder.

A = 2 × 3.14 × 1.7( 1.7+6)

= 10.68× 7.7

= 82.2 in²( nearest tenth)

Therefore the surface area of the cylinder is 82.2

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Clare bought her first home for $135,000 in 2001. In 2006, the value of real estate in her area had increased by 18%. Based on this, how much was Clare's home worth in 2006?

Answers

Answer:

To find the value of Clare's home in 2006 after an 18% increase, we can use the following formula:

Value in 2006 = Value in 2001 x (1 + Percent Increase)

Plugging in the values given in the problem, we get:

Value in 2006 = $135,000 x (1 + 0.18)

Simplifying this expression, we get:

Value in 2006 = $135,000 x 1.18

Value in 2006 = $159,300

Therefore, Clare's home was worth $159,300 in 2006 after an 18% increase in value from its original price of $135,000 in 2001.

PLEASE HELP!
Question 1: y is directly proportional to x. If y=5 when x is 25:
a) Find an equation for y in terms of x.
b) Use your equation from part a) to find y when x is 100.

Question 2:
y ∝ x and y=132 when x=10
a) Find the value of y when x=14.
b) Sketch the graph of this proportion for x>0 and mark two points on the line.

Answers

1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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A chemist wishes to make a 10% acid solution. she has a 4% acid solution and a solution that is 28% acid. how many liters of each should she use if she needs 5 liters of the 10% solution?

Answers

The chemist should use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.

Let's denote the volume of the 4% acid solution as x and the volume of the 28% acid solution as y, both in liters.

To make a 10% acid solution, we need to mix the two solutions in such a way that the resulting mixture has a total volume of 5 liters, and the concentration of acid in the mixture is 10%.

Since we want 5 liters of the final mixture, we can write the following equation based on the conservation of volume:

x + y = 5

The total amount of acid in the final mixture should be 10% of the total volume of the mixture, so we can write the following equation:

0.04x + 0.28y = 0.1(5)

On simplifying:

0.04x + 0.28y = 0.5

From the first equation:

y = 5 - x

Substituting into second equation:

0.04x + 0.28(5 - x) = 0.5

Simplifying and solving for x:

0.04x + 1.4 - 0.28x = 0.5

-0.24x = -0.9

x = 3.75

Using first equation,

x + y = 5

3.75 + y = 5

y = 1.25

Therefore, she needs to use 3.75 liters of the 4% acid solution and 1.25 liters of the 28% acid solution to make 5 liters of a 10% acid solution.

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The chef at Pickin' Chicken Café bought 4 bunches of celery that each weighed 2 pounds. She cut up 3 pounds to serve with chicken wings. Then, she diced 8 ounces to put on garden salads. How many pounds of celery does she have left?

Answers

As per the unitary method, the chef has 9.14 pounds of celery left after cutting up 3 pounds to serve with chicken wings and dicing 8 ounces to put on garden salads.

To start, let's convert all of the weights to the same units. The chef bought 4 bunches of celery, each weighing 2 pounds, so in total she bought:

4 bunches * 2 pounds per bunch = 8 pounds

Next, we know that she used 3 pounds of celery for the chicken wings and 8 ounces (which is half a pound) for the garden salads. So in total she used:

3 pounds + 0.5 pounds = 3.5 pounds

To find the value of one pound of celery, we can subtract the amount of celery the chef used from the total amount of celery she bought, and then divide by the number of pounds she bought:

(8 pounds - 3.5 pounds) / 8 = 0.4375 pounds per pound

So one pound of celery is worth 0.4375 pounds. Now we can use this value to find out how many pounds of celery the chef has left. We know she started with 8 pounds of celery, and she used 3.5 pounds, so she must have:

(8 pounds - 3.5 pounds) / 0.4375 pounds per pound = 9.14 pounds left

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Simplify with steps shown:(p²+17p+70)/9p³ +63p² * 3/p+10

Answers

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

what is fraction ?

A fraction is a percentage of an entire amount or a ratio of two numbers. It is a means to express a numeric value that is neither a whole number nor an integer. The number at the top of a fraction is called the numerator, while the number at the bottom is called the denominator. The denominator is the entire amount of elements of the entirety or the ratio's divisor, while the numerator is the portion that makes up the entirety or ratio that is being evaluated.

given

We must factor the first fraction's numerator and discover a shared denominator for the two fractions in order to simplify this expression:

(p² + 17p + 70) / 9p³ + 63p² * 3 / (p + 10)

= (p + 10)(p + 7) / 9p³ + 189p² / (p + 10)

= (p + 10)(p + 7); 9p3 + 189p2; (p - 10)/(p + 10); (p - 10)

= 189p2(p - 10)/9p3(p + 7)/9p3(p + 10) (p - 10)

= [(p + 10)(p + 7) + 21p²(p - 10)] / 9p³(p - 10) (p - 10)

= [(p² + 31p - 140) / 9p³(p - 10)]

The simplified formula is therefore [tex](p^2 + 31p - 140) / 9p^3 (p - 10)[/tex] as factor the first fraction's numerator and discover a shared denominator.

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Could
7.7
cm
,
4.0
cm
,
7.7 cm,4.0 cm,7, point, 7, start text, space, c, m, end text, comma, 4, point, 0, start text, space, c, m, end text, comma and
1.7
cm
1.7 cm1, point, 7, start text, space, c, m, end text be the side lengths of a triangle?
Choose 1 answer:
yes
or
no?

Answers

By triangle inequality theorem  7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.

We know that the triangle inequality theorem states that the sum of any two sides of a triangle is greater than or equal to the third side.

For example, is a, b and c be sides of triangle then a + b ≥ c.

Here, the sides of triangle are:  7.7 cm, 4.0 cm, 1.7 cm

Let  a = 7.7 cm,

b = 4.0 cm,

c = 1.7 cm

consider the sum of sides b and c.

b + c = 4. 0 + 1.7

b + c = 5.7 cm

which is not greater than 7.7 cm (length of side  'a')

This means that, by triangle inequality theorem  7.7 cm,4.0 cm, 1.7 cm can not sides of the triangle.

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The complete question is:

Could 7.7 cm,4.0 cm, 1.7 cm be the side lengths of a triangle?

Given a reduced echelon matrix in R3 onto iff for every vector b in R3, Ax = b has a solution iff every row of A has a pivot.
a. true b. false

Answers

Every vector b in R3, the equation Ax = b has a solution if every row of A has a pivot.

The statement is true.

True.

If a reduced echelon matrix in R3 is obtained by row operations from a matrix A, then the reduced echelon matrix is in row echelon form and is equivalent to the original matrix A.

If every row of A has a pivot, then every row has a leading non-zero entry in the row echelon form of A.

This means that each row of the row echelon form of A has a pivot, and so the matrix has full row rank.

The number of pivot columns in the reduced echelon matrix equals the row rank of A, which is also the same as the column rank of A.

Vector b in R3, the equation Ax = b has a solution if and only if b is a linear combination of the columns of A.

If A has full column rank, then the columns of A span the column space of A, which means that any vector in the column space can be expressed as a linear combination of the columns of A.

If every row of A has a pivot, then A has full row rank, full column rank, and the columns of A span R3.

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The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it

Answers

If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.

The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:

Perimeter = 2(length + width)

We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:

38 = 2(L + 9)

Dividing both sides by 2, we get:

19 = L + 9

Subtracting 9 from both sides, we get:

L = 105

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pls help thx your the best

Answers

Answer:

(- 2, 16 )

Step-by-step explanation:

y = 8x + 32 → (1)

y = - 8x → (2)

substitute y = 8x + 32 into (2)

8x + 32 = - 8x ( add 8x to both sides )

16x + 32 = 0 ( subtract 32 from both sides )

16x = - 32 ( divide both sides by 16 )

x = - 2

substitute x = - 2 into either of the 2 equations and evaluate for y

substituting into (2)

y = - 8(- 2) = 16

solution is (- 2, 16 )

Jerel runs 6 days each week. He runs 4.2 km each day for the first 6 days. If Jerel runs a total of 25km, write and solve an equation to find how many kilometers he runs on the sixth day.

Answers

Jerel runs 4 km on the sixth day.

How to determine how many kilometers he runs on the sixth day.

Let's call the distance Jerel runs on the sixth day "x". We know that he runs 4.2 km each day for the first 6 days, so the total distance he runs in those 6 days is:

Total distance = 4.2 km/day x 6 days = 25.2 km

We also know that the total distance Jerel runs is 25 km, so we can set up an equation to solve for "x":

4.2 km/day x 5 days + x = 25 km

Simplifying the equation, we get:

21 km + x = 25 km

Subtracting 21 km from both sides, we get:

x = 25 km - 21 km

x = 4 km

Therefore, Jerel runs 4 km on the sixth day.

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The side lengths of a triangle are 3 meters,4 meters, and 5 meters, Suppose the side lengths are multiplied by 4. Describe the change in the perimeter

Answers

The change in the perimeter is:

= 36m

The side lengths of a triangle are 3 meters,4 meters, and 5 meters.

We have to find the perimeter of the triangle.

Now,

Perimeter of a triangle is sum of all sides.

We have the side's length are:

[tex]P_1[/tex] = 3 + 4 + 5 = 12 meters.

Now, In the second case we have to multiplied the side length by 4.

Side's length are:

3 = 3 × 4 = 12

4 = 4 × 4 = 16

5 = 4 × 5 = 20

Perimeter of a triangle is sum of all sides.

[tex]P_2[/tex] = 12 + 16 + 20

[tex]P_2[/tex] = 48 meters

Now, the change in the perimeter is:

[tex]P_2 - P_1[/tex] = 48 - 12 = 36m

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need help asap!!!!!!
Please and thank you!

Answers

Answer:i thing the anwser is 56

Step-by-step explanation:

I don't understand this question. simplify -3(x+7)

Answers

Answer: - 3x - 21

Step-by-step explanation:

All you have to do is distribute the -3

-3 multiplied by x is -3x

and -3 multiplied by +7 is -21

put it together

- 3x - 21

joseph earned a score of 516 on exam a that had a mean of 600 and a standard deviation of 40. he is about to take exam b that has a mean of 76 and a standard deviation of 20. how well must joseph score on exam b in order to do equivalently well as he did on exam a? assume that scores on each exam are normally distributed.

Answers

Joseph must score at least 32 on exam B to do equivalently well as he did on exam A.

To determine how well Joseph must score on exam B in order to do equivalently well as he did on exam A, we need to find the equivalent z-score for his exam A score and then use it to find the corresponding score on exam B.

First, we find the z-score for Joseph's exam A score:

z = (x - mu) / sigma

z = (516 - 600) / 40

z = -2.1

The z-score of -2.1 indicates that Joseph's exam A score is 2.1 standard deviations below the mean.

To find the equivalent score on exam B, we use the formula:

z = (x - mu) / sigma

Solving for x, we get:

x = z * sigma + mu

x = -2.1 * 20 + 76

x = 32

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. A thermometer shows a temperature of -4.5°C. A nearby thermometer shows a temperature of 3.5°C. Explain how absolute value can be used to decide which temperature is warmer.​

Answers

Answer:

Step-by-step explanation:

The concept of absolute value can be used to determine which temperature is warmer between -4.5°C and 3.5°C. Absolute value is a mathematical function that returns the magnitude, or distance, of a number from zero, regardless of whether the number is positive or negative. In other words, the absolute value of a number is always a positive number.

In this case, we can calculate the absolute value of each temperature as follows:

| -4.5°C | = 4.5°C

| 3.5°C | = 3.5°C

The absolute value of -4.5°C is 4.5°C, which is greater than the absolute value of 3.5°C, which is 3.5°C. This means that -4.5°C is further from zero than 3.5°C, and therefore it is a colder temperature. So, the temperature of 3.5°C is warmer than the temperature of -4.5°C.

Therefore, we can use the concept of absolute value to determine which temperature is warmer by comparing the absolute values of the temperatures. The temperature with the greater absolute value is farther from zero, and therefore colder, while the temperature with the smaller absolute value is closer to zero, and therefore warmer.

A small can of beans is 3 in. high with a 1 in. radius and sells for $1.49. Which can of beans is a better deal?


a. 9 in. high; 3 in. radius; sells for $39.95

b. 3 in. high; 2. in. radius; sells for $5.96

c. 3 in. high; 3 in. radius; sells for $13.41

Answers

Therefore, can b and c are the same better deal since they have the same price per cubic inch using the volume of a cylinder.

Volume of a cylinder calculation.

To compare which can of beans is a better deal, we need to calculate the volume of each can and divide it by the price. The can with the highest volume per dollar is the better deal.

a) The volume of the can is V=πr²h=(3.14)(3²)(9)=254.34 cubic inches. The price per cubic inch is $39.95/254.34 = $0.157, rounded to three decimal places.

b) The volume of the can is V=πr²h=(3.14)(2²)(3)=37.68 cubic inches. The price per cubic inch is $5.96/37.68 = $0.158, rounded to three decimal places.

c) The volume of the can is V=πr²h=(3.14)(3²)(3)=84.78 cubic inches. The price per cubic inch is $13.41/84.78 = $0.158, rounded to three decimal places.

Therefore, can b and c are the same better deal since they have the same price per cubic inch.

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