if a prism has a base with an area of 8cm and a height of 6cm, what is the volume of the prism?

Answer:

Step-by-step explanation:

1) 36:81

2)81 pints

3)14.625 gallons of paint

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

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Answer:

we need the full picture of the circle to see if 10 cm is only half or not

Answer:

5x/2

Step-by-step explanation:

Answer:

The current value is  $445280

Step-by-step explanation:

Given data

value of house= $484,000

percent decrease= 8%

let us find 8% of $484,000

=8/100*484,000

= 0.08*484,000

= $38720

Hence the house decrease by $38720

The new value is = 484,000-38720

= $445280

Answer:

A circle has a circumference of 7,805 units.

2πr= 7,805 units.

r=7805/2π1=1242.20unit is radius

Answer:

35

Step-by-step explanation:

The numbers are 35 and 24

35 + 24 = 59

35 - 24 = 11

35 > 24

Answer:

4.5+2.4=6.9

Step-by-step explanation:

Fraction form: 69/10

Answer:

6 9/10

Step-by-step explanation:

You plus 2 1/4 and 2 1/4=4 1/2

Next plus 1 1/5 and 1 1/5 =2 2/5

Third plus 4 1/2 and 2 2/5 change the fractions into 4 5/10 and 2 4/10 plus them together and you will get 6 9/10

Franks carpet perimeter is 6 9/10.

Answer:

x > 8

Step-by-step explanation:

12 (x - 3) > 60

One solves an inequality exactly like how one solves an equation, with inverse operations. The only difference is that when one multipies or divides by a negative number, one must flip the inequality sign, this rule is not applicable in this situation

12 ( x - 3 ) > 60

Inverse operations,

12 ( x - 3 ) > 60

/12              /12

x - 3 > 5

  +3    +3

x > 8

Given:

The set is:

[tex]R=\{a,b,c\}[/tex]

To find:

The number of subsets in set R.

Solution:

Formula for number of subsets in a set of [tex]n[/tex] elements is

Number of subsets = [tex]2^n[/tex]             ...(i)

We have,

[tex]R=\{a,b,c\}[/tex]

Here, the number of elements are 3. Putting [tex]n=3[/tex] in (i), we get

Number of subsets = [tex]2^3[/tex]

                                = [tex]8[/tex]

Therefore, the number of subsets is 8 and the subsets are [tex]\phi,\{a\},\{b\},\{c\},\{a,b\},\{a,c\},\{b,c\}[/tex] and [tex]\{a, b, c\}[/tex].

Answer:

[tex]\Huge\boxed{b=21}[/tex]

Step-by-step explanation:

Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

we are given a leg and the hypotenuse so we plug in what we have into the formula

[tex]20^2+b^2=29^2[/tex]

now we solve for b

step 1 subtract 20^2 from each side

[tex]b^2=29^2-20^2\\29^2=841\\2-^2=400\\841-400=441\\441=b^2[/tex]

finally we want to get rid of the exponent on the b

to do so we take the square root of each side

[tex]\sqrt{441} =\sqrt{b^2} \\\sqrt{441} =21\\\sqrt{b^2} =b[/tex]

we're left with b = 21

Note: They Pythagorean theorem only works with right triangles

Answer:

x = 1 and x = 3

Step-by-step explanation:

Compare the outputs of the functions for the same input. If they're the same, then f(x) = g(x).

Answer:

14

Step-by-step explanation:

2x7=14

Answer:

C

Step-by-step explanation:

Multiply 12*8*34, then divide by 2

Answer:

20

Step-by-step explanation:

Given that:

Red flowers = 1/8

Purple = 1/4

(1/8 + 1/4) = (1 + 2) / 8 = 3/8

Fraction left :

1 - 3/8 =. 5/8

Pink flowers :

1/4 of fraction left ;

1/4 * 5/8 = 5/32

Number of pink flowers

Total number of flowers = 128

5/32 * 128

640 / 32

= 20

20 pink flowers

Answer:

700 I think...

Step-by-step explanation:

Multiply

Answer:

y=8

Step-by-step explanation:

Given function:

Multiply 4 by 8:

Subtract total by 32:

Divide the two terms:

Therefore, y=8 while x=7...

Your answer is B, I think.

Answer:

Decay

Step-by-step explanation:

Answer:

RS = 38

Step-by-step explanation:

20x - 12 = 18x + 12

2x = 24

x =  12

3(12) + 2 = 38

The value of the side of triangle RS is equal to 38.

If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the sides of the triangle XYZ are, XY = 5x - 3, XZ = 60 and the sides of the triangle TR = 40, RS = 3x + 2.

The value of RS will be calculated as,

( 5x - 3 ) / ( 3x + 2 ) = ( 60 / 40 )

( 5x - 3 ) / ( 3x + 2 ) = ( 6 / 4 )

20x - 12 = 18x + 12

2x = 24

x = 12

RS = 3x + 2

RS = ( 3 x 12 ) + 2

RS = 36 + 2

RS = 38

Therefore, the value of the side of triangle RS is equal to 38.

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Answer:

21

Step-by-step explanation:

just put 21 ok that is the right answer

Answer:

r=21 (the second dot)

Step-by-step explanation:

To find r/3=7 we have to multiply 3*7

3*7=21

So r=21 because 21/3=7    

Answer:

left handed

Step-by-step explanation:

Answer: a is the right answer

Step-by-step explanation:

Step-by-step explanation:

Total cost (both cars) 3 * 104 dollars

Step-by-step explanation:

The Answer is gonna have to be A

24. 5%