What is the volume of a square prism with a base area of 25 square centimeters and a height of 6 centimeters?

Answer:

{-8, -4}

Step-by-step explanation:

Rewrite this function y=x2 +12x +32 as y = x^2 + 12x + 32; " ^ " indicates exponentiation.

Set this x^2 + 12x + 32 equal to zero (to find the zeros):  

x^2 + 12x + 32 = 0.  Let's solve this using the quadratic formula, which applies when ax^2 + bx + c = 0:

       -b ± √(b^2 - 4·a·c)

x = -------------------------------

                    2a

The coefficients of the given quadratic are {1, 12, 32}.  Thus, the discriminant is

b^2 - 4ac, or 12^2 - 4(1)(32), or 144 - 128, or 16. Therefore, we have:

       -12 ± √16                                                     -12 ± 4

x = --------------------    which simplifies to:    x = --------------- = { -8, -4}

              2                                                                  2

The zeros are {-8, -4}

Answer:

400

Step-by-step explanation:

5 x 8 x 10 = 40 x 10 = 400

Answer:

400

Step-by-step explanation:

Answer:

y = -12

Step-by-step explanation:

-4 (8+3y) = 112

-32 -12y = 112

-12y = 144

y = -12

Answer:

-4(8+3y)=112

-32-12y=112

-12y=112+32

-12y=144

y=144÷-12

y=12

Answer:

6x and 1x or x

Step-by-step explanation:

the highest common factor of 6x and 66xy in 6x

6x ÷ 6x = 1

66xy ÷ 6x = 11y

the lowest common factor of 6x and 66xy is 1x or x

6x÷ 1x =6

66xy÷ 1x = 66y

6x÷ x = 6

66xy ÷ x = 66y

NOTE

1x and x is the same

Answer:

18c - 20

Step-by-step explanation:

substitute 2c - 3 into x,

f(2c - 3) = 9(2c - 3) + 7

=> f(2c - 3) = 18c - 27 + 7

=> f(2c - 3) = 18c - 20

Answer:

X Values

∑ = 53.5

Mean = 10.7

∑(X - Mx)2 = SSx = 151.086

Y Values

∑ = 6.9

Mean = 1.38

∑(Y - My)2 = SSy = 3.788

X and Y Combined

N = 5

∑(X - Mx)(Y - My) = 23.711

R Calculation

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

r = 23.711 / √((151.086)(3.788)) = 0.9911

So r= 0.9911 or 99.11%

Answer:

1=72

2=36

3=36

4=54

Answer:

3.14

Step-by-step explanation:

Answer:

Ok, I didn't find the graph but jeff can use the diameter of the circle as the diamation of the square

If the radius is (r) so the area is

A = d * d

Answer:

( 2 4/5 * 1 3/10) * 1 1/2 = 5 23/50

Step-by-step explanation:

( 2 4/5 * 1 3/10) * 1 1/2 = 14/5 x 13/10 x 3/2 = 546/100 = 5 46/100 = 5 23/50

Answer:

9.53 x 10^4

Hope this helps.(～￣▽￣)～

Please mark as Brainiest.

THANKS. \^o^/

Given:

The four table of values.

To find:

The table whose linear function has slope 2.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Consider any two points from each table and find the slope for each table.

For table 1, the two points are (2,1) and (6,-1). So, the slope of the linear function is:

[tex]m=\dfrac{-1-1}{6-2}[/tex]

[tex]m=\dfrac{-2}{4}[/tex]

[tex]m=\dfrac{-1}{2}[/tex]

For table 2, the two points are (0,8) and (2,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-8}{2-0}[/tex]

[tex]m=\dfrac{-4}{2}[/tex]

[tex]m=2[/tex]

For table 3, the two points are (-4,4) and (-2,5). So, the slope of the linear function is:

[tex]m=\dfrac{5-4}{-2-(-4)}[/tex]

[tex]m=\dfrac{1}{-2+4}[/tex]

[tex]m=\dfrac{1}{2}[/tex]

For table 4, the two points are (-2,0) and (0,4). So, the slope of the linear function is:

[tex]m=\dfrac{4-0}{0-(-2)}[/tex]

[tex]m=\dfrac{4}{2}[/tex]

[tex]m=2[/tex]

Table 4 is the only table that represents a linear function whose slope is 2.

Therefore, the correct option is 4, Table 4.

Step-by-step explanation:

y=kx

say that y is the original prince and x is the sale price

15=k(10)

15/10=k

3/2=k

you can check with the next problem to check if it is the same

25=k(20)

25/20=k

5/4=k

so you take 5/4-3/2=-1/4 so the constant is -1/4

Hope that helps :)

Answer:

Based on the line plot picture that is attached below it can be calculated that a total of 15 students spent 5 or more hours last week reading. This can be easily calculated by adding all the x's on the marks of 5 hours or more. With both the boys and girl students combined the tally was the following

5 hours : 4 students

6 hours : 1 student

7 hours : 3 students

8 hours : 3 students

9 hours : 0 students

10 hours: 2 students

11 hours : 2 students

12 hours : 0 students

Step-by-step explanation:

Answer: B

its B because the line shows how much 5 were there and there was 2 dots

Answer:

7.5%

Step-by-step explanation:

86 - 80 / 80 = 0.075

so 7.5%

The percentage increase in wages of from last year to now is 7.5%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, last year janes wages were $80 per week her wages are now $86 per week.

Now, the difference in wage =86-80

= 6

The percentage increase

= 6/80 ×100

= 7.5%

Therefore, the percentage increase in wages of from last year to now is 7.5%.

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Answer:

J

Step-by-step explanation:

i looked it up on a graphic calculator, just trust me lolz

good luck!!!

Answer:

41.6 centimeters

Step-by-step explanation:

The right triangle formula: c^2 = a^2 + b^2

                                  c is the hypotenuse side of the triangle

                                  a and b are the legs of the triangle.    

 Find the hypotenuse :   c^2 = (24)^2 + (34)^2

                                          c = square root of (  (24)^2 + (34)^2)

                                          c = square root of ( 576 + 1,156)

                                          c = 41.6173

Answer:

2π or 6.2831 (I don't know which since I don't know what to round to or if it is supposed to be in terms of π soooo)

Step-by-step explanation:

[tex]2\pi(1) = 2\pi = 6.2831[/tex]

Answer:

3:2

Step-by-step explanation:

Answer:

3:2

Step-by-step explanation:

6 and 4 can be both divided by 2

Answer:

C

Step-by-step explanation:

Answer:

3x + 10

n/5 -9

8(5t)

3(x + 5)

6 + 7.5n

Please let me know if you have questions about these. I’m happy to try to explain.

Answer:

64 m2

Step-by-step explanation:

12x6=72m2

2x4=8m2

72-8=64m2

The area for the given dimensions of Jared's classroom is, 64 m²

An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².

Given that,

The dimensions of Jared's classroom are,

12 m, 4 m, 6 m, 4 m, 2 m, 8 m

we can divide the area of classroom in two parts,

first A₁, having side lengths of 6 m & 8 m

second A₂, having side lengths of 4 m & 4 m

Jared's classroom area =  A₁ +  A₂

A₁ = 6 × 8

      =  48

A₂ = 4 × 4

     = 16

A =  A₁ +  A₂

  = 16 + 48

  =  64

The area of classroom is 64 m²

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Step-by-step explanation:

9 + y^2 = 49

y^2 = 40

y = √40 = 2√10

4.5/3 = 2√10/5x

22.5x = (3) 2√10

22.5x = 6√10

x = 6√10/22.5 = 3√10/11.5

Answer:

y= -1/3x - 6

Explain:

For the slope, you find the opposite reciprocal of the given slope. Then you plug in the given coordinates into the point-slope formula: y - y = m ( x - x ). So the expression would be y - (-4) = -1/3 ( x - (-6)). So the answer would be           y = -1/3x - 6.

Answer:

36.5

Step-by-step explanation:

y= -x²+73x-520

which can be represented as ax²+bx+c

a= -1, b= 73, c = -520

for maximum value of y,

the formula is

c - (b² / 4a)

= -520 - (73² / 4×(-1))

= -520 - (5329 / -4)

= -520 + 1332.25

= 812.25

Solving for x,

812.25 = -x²+73x-520

or, x²-73x+ 1332.25 = 0

Solving,

x= 36.5

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 42 minutes

Explanation:

0.40x + 3.20 = 20

0.40x = 16.8

x = 42 minutes

I hope this helped!

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- Zack Slocum

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Answer:

Step-by-step explanation:

The equation of a line with slope of m and y-intercept of b is: y = mx + b

b = 2 and line contains the point (4, -9), so:

-9 = m×4 + 2          {subtract 2 from both sides}

-11 = 4m                   {divide booth sides by 4

m = -¹¹/₄

Answer:

Step-by-step explanation:

i need points lol

There are 99 students in her school.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

mpho is the 50th fastest and slowest runner in her school.

Now,

Since, mpho is the 50th fastest and slowest runner in her school.

Hence, Total number of students = (50 + 50) - 1

                                                   = 100 - 1

                                                   = 99

Thus, There are 99 students in her school.

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