In Euclidean geometry, the sum of the lengths of 2 sides of a triangle is greater than the length of the third side. The lengths of 3 sides of a triangle are 3x, 7, and 12.

Answer:

here is answer

Step-by-step explanation:

n(AUB) = n(A) + n(B) - n(AnB )

= 240 + 160 - n(A n B)

= 400 - n(AnB )

Since n(AnB) 20, so n(AUB) S 400

But n(U) = 360, so n(A U B)* 360

.. the maximum value of n(AUB) = 360.

When n(A U B) is maximum, n(AnB) will be minimum.

.. min. value of n(An B)

= n(A) + n(B) - Max, value of n(AUB)

= 240 - 160 - 360 = 40

Again, n(

A B) will be maximum when B C A.

..the max. value of n(

A B) = n(B) = 160

Answer:

262 1/2 cubic feet

Step-by-step explanation:

The volume of a prism is (length)(width)(height).

Here we have

V = (6 1/4 ft)(14 ft)(3 ft)

Converting 6 1/4 ft to an improper fraction, we get 25/4.

Then the above product is V = (25 ft/4)(14 ft)(3 ft)  = 262 1/2 cubic feet

The volume of the rectangular prism is 262.5 cubic feet. Thus, the correct option is D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as,

V = L x W x H

A rectangular prism with a length of 6 and one-fourth feet, a width of 14 feet, and a height of 3 feet. Then the volume of the rectangular prism is calculated as,

V = (6 + 1/4) x (14) x (3)

V = 25/4 x 42

V = 1050/4

V = 262 + 1/2 cubic feet

V = 262.5 cubic feet

Thus, the correct option is D.

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Answer:A.) 1,500

Step-by-step explanation:

Answer:

1500

Step-by-step explanation:

Answer:

B. 2

Step-by-step explanation:

egd. 2021

Answer:

B

Step-by-step explanation:

The roots of rational numbers is when you find the square root making it B

Answer:

Chester would receive a discount of $2.87 on using the coupon.

Step-by-step explanation:

We are given the following in the question:

Original cost of shirt = $28.70

Discount =

[tex]\dfrac{1}{10}\text{ of the original price}[/tex]

We have to find the discount Chester would receive from using this coupon.

Discount amount =

[tex]=\dfrac{1}{10}\times \text{Original Price}\\\\=\dfrac{1}{10}\times 28.70\\\\=2.87[/tex]

Thus, Chester would receive a discount of $2.87 on using the coupon.

Answer:

Step-by-step explanation:

Given:

The set of numbers {1, 2, 3, 4, 5}

Affter that, we find the sum um of two distinct numbers selected randomly from the set above;

Therefore, we have the following number: 3,4,5,6,5,6,7,7,8,9

so we have x = {3,4,5,6,5,6,7,7,8,9 }

now we find P(x) of each number, we have n(S) = 10

x  3 4 5 6 7 8 9

P(x)  1/10 1/10 1/10 2/10 2/10 2/10 1/10

Hope it will find you well.

The probability distribution of a set gives the probabilities of possible outcomes of the set

The set of numbers is given as:

[tex]\mathbf{Set = \{1, 2, 3, 4, 5\}}[/tex]

Add two distinct numbers of the set.

The sum is as follows

[tex]\mathbf{1+2 =3}[/tex]

[tex]\mathbf{1+3=4}[/tex]

[tex]\mathbf{1+4=5}[/tex]

[tex]\mathbf{1+5=6}[/tex]

[tex]\mathbf{2+3=5}[/tex]

[tex]\mathbf{2+4=6}[/tex]

[tex]\mathbf{2+5=7}[/tex]

[tex]\mathbf{3+4=7}[/tex]

[tex]\mathbf{3+5=8}[/tex]

[tex]\mathbf{4+5 = 9}[/tex]

The sum of the distinct numbers are:

[tex]\mathbf{Sum = \{3,4,5,6,5,6,7,7,8,9\}}[/tex]

Calculate the probability of each number in the sum set i.e. 3, 4, 5, 6, 7, 8 and 9

[tex]\mathbf{P(3) = P(4) = P(5)= P(9)= \frac{1}{10} = 0.10}[/tex]

[tex]\mathbf{P(6) = P(7) = P(8)= \frac{2}{10} = 0.20}[/tex]

So, the probability distribution for the random variable is:

x   - - P(x)

3 -- 0.10

4 -- 0.10

5 -- 0.10

6 -- 0.20

7 -- 0.20

8 -- 0.20

9 -- 0.10

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Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = [tex]\dfrac{\text{Increase in calories}}{\text{previous calories}}\times100[/tex]

[tex]=\dfrac{300}{1500}\times100=20\%[/tex]

Hence , the number of calories increased by 20%.

Answer:

20%

Step-by-step explanation:

Answer:

15 years old

Step-by-step explanation:

Let's say Amanda's age is a, Brantley's age is b, and Carlos's age is c.

"Amanda is 3 years older than Brantley" means that a = 3 + b

"Carlos is twice as old as Amanda" means that c = 2 * a = 2a

"The sum of their ages is 57" means a + b + c = 57

We know that a = 3 + b, which can be written as b = a - 3. Substitute a - 3 in for b and 2a in for c in the equation a + b + c = 57 so that we have one variable to solve for:

a + b + c = 57

a + (a - 3) + 2a = 57

4a - 3 = 57

4a = 60

a = 15

Amanda is 15 years old.

Answer:

15

Step-by-step explanation:

A = B + 3

B = A - 3

C = 2A

A + B + C = 57

A + A - 3 + 2A = 57

4A - 3 = 57

4A = 60

A = 15

Answer:

The first and last option.

Step-by-step explanation:

This is true because in the first chart, different y values correspond to different x values. In the other chart and option, the same y value corresponded to multiple x values - when this happens, it is not a function. This is why the first option is a function. In the last option, you gave an equation to a parabola. When graphed, the parabola opens downwards.  Only parabolas that open upwards or downwards are considered functions. Parabolas that open left or right are not considered parabolas. You can test whether or not a parabola is considered a function by conducting the "Vertical Line Test."

Answer:

To determine if they are functions or not, each y value needs to have only one x value. There should never be 2 values with the same x.

The first one is a function.

The second one is not a function because there are two coordinates that have -1.

The third on is not a function because there are two of them that have 0.

The fourth one is a function because when listing the inputs and outputs, there are different x values for each y value.

Hope this helps ;)

Answer:

Log8(16)=4/3

Step-by-step explanation:

LogA(B) =C is same thing as A^C=B every single time

The given equation 16 = 8^4/3 can be written in logarithmic form as log8(16) = 4/3.

The given equation, 16 = 8^4/3, can be rewritten in logarithmic form as log8(16) = 4/3.

In logarithmic form, the base (8) becomes the subscript of the logarithm, the number being raised to the power (16) becomes the argument of the logarithm, and the result of the exponentiation (4/3) becomes the value of the logarithm.

Therefore, the equation 16 = 8^4/3 can be written as the logarithmic equation log8(16) = 4/3.

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Answer:

1. 336 in3

2. 384 cm3

3. 336 m3

Step-by-step explanation:

im not positive but i think you just multiply the numbers and put the label as cubed

Answer:

2(4+x)

Step-by-step explanation:

"Twice the sum of" tells us it will be the equation times two

"the sum of four and a number" is easy, thats 4 + x

The second number is x because the number is not specified so we need a place holder, x in this case, to tell us that the number is not given.

All this put together = twice the sum of four and a number, or 2(4+x)

The expression for "twice the sum of four and a number" is represented by 2(x + 4) or 2 * (x + 4), signifying that you first sum the number with four and then double the result.

The expression that correctly represents "twice the sum of four and a number" is 2(x + 4) or 2 * (x + 4), where x is the variable representing the unknown number. To arrive at this expression, you first find the sum of four and the number (x + 4) and then multiply the result by two to get twice this sum.

In this context, the word 'twice' is similar to triple as in triple the amount of money being three times as much. This operation is an example of simple addition, much like when two numbers are added in any order, such as 2 + 3 or 3 + 2, which illustrates the commutative property of addition.

Answer:

B (V = 4500π ft3; S = 900π ft2)

Step-by-step explanation:

If the great circle's area is 225pi, that makes the radius sqrt225 = 15

The volume of a sphere is (4/3) pi r^3, so the volume would be 3375 * 4/3 pi= 4500pi

The surface area of a sphere is 4 pi r^2, so the Surface area would be 4 * 225 pi = 900pi

That makes the answer B (V = 4500π ft3; S = 900π ft2)

A hyperbola is simply an open curve that has two branches.

The disconnected parts of the graph of the hyperbola are the branches.

See attachment for an illustration of an hyperbola.

From the graph, we have the following highlights.

The opposite sides (and disconnected parts) are the branch of the hyperbola

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Answer:

[tex]=18[/tex]

Step-by-step explanation:

[tex]\sum _{j=1}^33j[/tex]

Apply the constant multiplication rule:

[tex]=3\cdot \sum _{j=1}^3j[/tex]

[tex]\sum _{j=1}^3j[/tex]

Apply sum formula:

[tex]=\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]\frac{1}{2}\cdot \:3\left(3+1\right)[/tex]

[tex]=3\cdot \:4\cdot \frac{1}{2}\\[/tex]

[tex]=\frac{1\cdot \:3\cdot \:4}{2}[/tex]

[tex]=\frac{12}{2}[/tex]

[tex]=6[/tex]

[tex]=3\cdot \:6[/tex]

[tex]=18[/tex]

Answer:

402.705‬ cm^2

Step-by-step explanation:

pi * r^2 * h /3    ---> (Volume of a cone)

3.14* 4.5^2 * 19 /3 =

3.14 * 20.25*19/3 = 402.705

Answer:

it would be around  318.09 cubic centimetres in volume for the cone

Answer: 4

Step-by-step explanation: Subtract 2 on both sides, you get 2c=8 ... divide 2 on both sides. C = 4

Answer:

D 4

Step-by-step explanation:

2c+2=10

Subtract 2 from each side

2c+2-2=10-2

2c = 8

Divide each side by 2

2c/2 = 8/2

c =4

Answer:

The answer to your question is 56 gal

Step-by-step explanation:

Data

Percent filled = 95%

Total water can hold = 1120 gal

remaining water = ?

Process

1.- Calculate the 95% of 1120 gal

              1120 gal ------------------ 100%

                x           ------------------   95%

                      x = (95 x 1120) / 100

                      x = 106400 / 100

                      x = 1064 gal

2.- Calculate the remaining water by subtracting the previuos value to the total capacity.

Remaining water = 1120 - 1064

                             = 56 gal

Answer:

sgdggggggggggggsdfgfgfg

Step-by-step explanation:

Answer:

It looks like you need to find the area of the wall and subtract the area of the door

(5x2 ∗ 12x) - (x ∗2x)

Simplify each term in the parentheses  

60x3 - 2x2

Then we can factor that expression using the greatest common factor.

The GCF is 2x2 so we divide both terms by 2x2

2x2(30x - 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

I think the data is repeated

The given data should be

41, 38, 36, 57, and 43

So, we want to find the absolute mean deviation, absolute here means we will discard the negative sign and make it possible

So, let find the mean of data

X~ = Σx / N

x is the given data

And N is the number of data given

X~ = (41 + 38 + 36 + 57 + 43) / 5

X~ = 215 / 5

X~ = 43

The mean is 43, so we and to find now the data given deviate from the mean.

X....... X-X~.......….|X-X~|

36..... —7............... 7

38..... —5.............. 5

41...... —2............... 2

43....... 0.........., ...0

57...... 14............. 14

So, the sum of the mean deviation is expected to be 0

ΣX-X~ = -7 -5 - 2 + 0 + 14 = 0

As expected

But the sum of the absolute mean is

Σ|X-X~| = 7 + 5 + 2 + 0 + 14 = 28

The mean deviation is given as

M•D = Σ|X-X~| / N

M•D = 28 / 5

The mean absolute deviation is 5.6 thousand dollars

This question is not correct

Correct Question:

The following data points represent the yearly salaries of high school cheer leading coaches in Dakota County (in thousands of dollars). 43, 41, 38, 36 , 57. Find the mean absolute deviation (MAD) of the data set.

Answer:

5.6 thousand dollars

Step-by-step explanation:

Mean Absolute Deviation is mean of or the average of absolute deviation of a set of data from it's central point.

We were given the following sets of data in thousands( the yearly salaries of high school cheer leading coaches)

43, 41, 38, 36, and 57

We would determine the Mean Absolute Deviation in the following steps:

Step 1

The first step is calculate the mean of the salaries

= (43+ 41 + 38+ 36+ 57) ÷ 5

= 215 ÷ 5

= 43

The mean of the salaries is 43 in thousand dollars.

Step 2

The second step would be to find the absolute difference of the values by subtracting the mean of the salaries from each of the salaries of the high school teachers , find the absolute values, after which we would sum up this absolute values together and divide by the number of the observed values

The number of observed values = 5

[|43 - 43| + |41 - 43| + |38- 43| + |36 - 43| + |57- 43| ]÷ 5

= 0 + |- 2|+ |- 5 |+|-7| + |-14| ÷ 5

= (0 + 2+ 5 +7 + 14) ÷ 5

= (28 ÷ 5) in thousand dollars

= 5.6 in thousand dollars

Therefore, the mean absolute deviation (MAD) of the data set in thousand dollars is 5.6.

Answer:

15 weeks

Step-by-step explanation:

He deposits 24 each week, so 480-120 is 360. Then if you divide 360 by 24 to see how many weeks, it is 15.

Answer:

that will be 15

Step-by-step explanation:

Answer:64

Step-by-step explanation:

Slope-intercept form:  y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

y = -3/2x - 1/2

b = -1/2      

To locate the y-intercept on the graph, find the point where the line crosses through the y-axis or the y-value when x = 0

I can't see the graph but hopefully this information helps you find the answer

Answer:

It’s A. The graph has a larger y/intercept.

Step-by-step explanation:

Answer:

The answer is (Choice C)  It is just right.

Step-by-step explanation:

The question is incomplete, so the complete question is below:

Kermit's favorite iced tea is made with 15 tea bags in every 2 liters of water. Peggy made a 12-liter batch of iced tea with 90 tea bags. What will Kermit think of Peggy's iced tea? Choose 1 answer: (Choice A)  It is too strong. (Choice B)  It is too weak. (Choice C)  It is just right.

Now, to find which of the choice is correct.

So, we find first the unit rate of Peggy's iced tea bags per liter:

If, Peggy made a 12-liter batch of iced tea with 90 tea bags.

Then, Peggy would made a 1-liter batch of iced tea with = [tex]\frac{90}{12} =7.5\ tea\ bags.[/tex]

Now, to get the unit rate of Kermit's iced tea bags per liter:

If, Kermit made a 2 liter of iced tea with 15 tea bags.

Then, Kermit would made a 2 liter of iced tea with = [tex]\frac{15}{2} =7.5\ tea\ bags.[/tex]

Thus, the quantity of tea bags per liter is same of both Kermit and Peggy.

Hence, Kermit will think of Peggy's iced tea that it is just right.

Therefore, the answer is (Choice C)  It is just right.

Answer:

C

Step-by-step explanation:

Answer:

V=1,125.1

Step-by-step explanation:

The equation for the volume of a cylinder is (V= πr^2h)

V= π(5.25)^2(13)

V= π(27.5625)(13)

V= π(358.3125)

V=1,125.10125

Answer:

3.95 divided by 20 equals 0.1975

Each ounce costs $0.1975.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units. Hence this method aims at determining values in relation to a single unit.

Given here, a 20 ounce bottle and it costs $3.95

1 ounce of lotion would cost  $3.95 / 20= $0.1975.

Hence, Each ounce costs $0.1975.

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Answer:

0.6y+2.1

Step-by-step explanation:

In this question, it is required to simplify the given expression i.e. 0.8y-1.5-0.2y+3.6. It can be done by combining like terms together.

Here y is a variable. We can combine y terms together such that we get :

[tex]=(0.8y-0.2y)-1.5+3.6\\\\=0.6y+2.1[/tex]

Hence, the simplified expression is 0.6y+2.1

Answer: C

the mean and the median

Step-by-step explanation:

From the attached table,

The range of group A = 5 - 0 = 5

The range of group B = 4 - 1 = 3

Difference in range is not equal to $1

The mode of A = 1

The mode of B = 3

Difference in mode is not equal to $1

The median of A = (1 + 2)/2 = 1.5

The median of B = 3

Difference = 3 - 1.5 = $1.5

The mean of A = 16/15 = 1.07

The mean of B = 40/15 = 2.67

The difference = $1.6

From the above analysis, we can therefore conclude that non of the measures are $1 greater for Group B than for Group A

The best option among the options is

the mean and the median

Answer:

the right answer is c. mean and the median

Step-by-step explanation:

because i took the test and got the answer right

Answer:

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Step-by-step explanation:

Given;

Michael walks his black lab 1 2/3 miles on Mondays, Wednesday's, Friday's, and Sunday's.

On four days = 1 2/3 = 5/3 miles per day

Total for the 4 days = 4 × 5/3 = 20/3 miles

He walks his poodle 1/6 of a mile on Tuesdays, Thursdays, and Saturdays

On 3 days = 1/6 miles per day

Total for the 3 days = 3 × 1/6 = 3/6 miles

Total for the week T;

T = 20/3 + 3/6 = 40/6 + 3/6 = 43/6 miles

T = 7.17 miles

Answer: C) (-3,15)

Step-by-step explanation:

Just did USATestPrep and that is the order pair that gives u one of the points on the graph if y= x^2 - 2x