Suppose the points shown on the coordinate plane are vertices of a square. Which statements are correct? A) The length of each side is 5 units. B) The perimeter of the square is 24 units. C) The perimeter of the square is 20 units. D) The coordinates for the fourth vertex of the square are (2, 7). E) The coordinates for the fourth vertex of the square are (4, 7).

Answer:

Volume of the prism: 120cm^3

Step-by-step explanation:

volume of a prism = area of cross-section x length

so

volume of triangular prism = 4 (h) x 6 (b) divided by 2 x 10 (length)

6 x 4 = 24

24 / 2 = 12

12 x 10 = 120

Hope this helped!

- profparis

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[tex]200 \div 8 = 25 \\ 875 \div 25 = 35[/tex]

Answer: x = 4

Step-by-step explanation: f(2) = 3(2)-1 = 5. Meaning x needs to be a value that makes g(x) = 5. You can set them up equal to each other 5 = 2x-3 and solve. You end up getting x = 4.

Answer:

1.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]f(x)=3x^2-2x+1;f(-4)[/tex]

Let [tex]x=-4[/tex]

[tex]3(-4)^2-2(-4)+1[/tex]

[tex]48-\left(-8\right)+1[/tex]

[tex]57[/tex]

~

Answer:

A. She set up the proportion incorrectly, the second ratio should be 2.2.

Step-by-step explanation:

Answer:

Your answer would be A

Step-by-step explanation:

Good Luck

Answer:

D

Step-by-step explanation:

Median: 18

Minimum: 16

Maximum: 23

First quartile: 16

Third quartile: 19.5

Interquartile Range: 3.5

Answer:

0.7333

Step-by-step explanation:

2021 Math

Proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

It's a way to measure how far each data point is spread from the average value.

let x represents the diameters of cherry tomatoes produced by large farm which is formally distributed with mean = 22m

and, standard deviation= 2.5 mm

Now, proportion of tomatoes have diameter between 20 and 26 mm

=P (20 < x< 26)

=P(20-22 / 2.5 < [tex]x- \mu/ \sigma[/tex] < 26- 22/2.5)

=P(-0.8 < z < 1.6)

=P(z = 1.6) - P(z=-0.8)

=0.9452 - 0.2119

==0.7333

Hence, proportion of such tomatoes have a diameter between 20 and 26 mm is 0.7333.

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Answer:

1. 7.6

2. 8

Step-by-step explanation:

for number one, add all the hours and then divide it by how many hours individually

for number two, the mode is the member which occurs the most

I hope this helps

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

12a. 45+0.5x+2x+x = 150

12b. the three unknown sides are 30ft, 60ft, and 15ft.

Step-by-step explanation:

12a. the fence is 150ft. so

45+0.5x+2x+x = 150

12.b solve the equation from 12a.

45+0.5x+2x+x = 150

7x/2 = 105

7x = 210

x= 30

0.5(30) = 15ft

2(30)=30ft

x= 30ft

the three unknown sides are 30ft, 60ft, and 15ft.

Answer:

1 [tex]\frac{1}{8}[/tex]

Step-by-step explanation:

[tex]\frac{47}{8} - (\frac{7}{2} + \frac{5}{4} )[/tex]

[tex]\frac{47}{8} -\frac{19}{4}[/tex]

= [tex]\frac{9}{8}[/tex]

= [tex]1\frac{1}{8}[/tex]

Answer provided by Education Point

Answer:

-20 meters below sea level

Step-by-step explanation:

as we know 0 is the water level, and since +20 is 20m above sea level, -20 is 20 m below sea level

Answer:

Each friend will get $1.25

Step-by-step explanation:

45/36 = 1.25

Answer: 1.25

Step-by-step explanation:

Just divide $45.00 and 36

Answer:

-2

Step-by-step explanation:

-2 because that is where the line intersects on the x-axis

Answer:

see explanation

Step-by-step explanation:

there is a common ratio between consecutive terms , that is

21 ÷ 7 = 63 ÷ 21 = 3

this indicates the sequence is geometric with explicit formula

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ration

here a₁ = 7 and r = 3 , then

[tex]a_{n}[/tex] = 7 . [tex]3^{n-1}[/tex] ← explicit formula

the recursive formula allows a term to be found by multiplying the previous term by r , then

[tex]a_{n}[/tex] = 7 . [tex]a_{n-1}[/tex] ← recursive formula

Answer:

3

Step-by-step explanation:

4x +1 =2x +7

4x - 2x =7 - 1

2x =6

x=6 :2

x=3

Answer:

-2x to both sides

-1 to both sides

then you get 2x=6

divide each side by 2

x=3

tep-by-step explanation:

Answer:

B

C

Step-by-step explanation:

[tex]x_{1} = \frac{5 + \sqrt{5}}{2} \\x_{2} = \frac{5 - \sqrt{5}}{2}[/tex]

Answer:

17

Step-by-step explanation:

Answer: y=-0.5x-2

Step-by-step explanation:

Answer:

x >-2

Step-by-step explanation:

3x-10<4(x-2)

3x - 10<4x-8

grouping liked terms

3x-4x<-8+10

-x<2

divide through by coefficient of x

x > -2

Answer:

1073741824 is your answer.....

Answer:

Step-by-step explanation:

[tex]( {4}^{3}) ^{5} \\ = {64}^{5} \\ = 1073741824[/tex]

Answer:

im pretty sure its 1440

Step-by-step explanation:

you have to do 6 x 60 for one minute, then multiply that by 4 and you get 1440.

Answer:

I think it is 1200 feet.

2/3 + (-1/3) = 2/3 - 1/3 = 1/3

Answer:

4(7 + 6)

Step-by-step explanation:

The GCF (greatest common factor) is the largest factor that both numbers share, and in this case it is 4.

28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

A number system is defined as a system of writing to express numbers.

We need to write  28 + 24 as a product of 2 factors using the GCF and the distributive property.

A factor is a number that divides another number, leaving no remainder

The greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.

We need to find factors 28 and 24

28=1,2,4,7,14,28

24=1,2,3,4,6,8,12,24

4 is the greatest common factor.

28 + 24

Take 4 as common

4(7+6)

Hence, 28+24 as a  product of 2 factors using the GCF and the distributive property is 4(7+6)

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