Question Three
What is the value of in the figure?
61
4 Ft
(5x)
(10x - 10)
6 ft
A
2
B
6.4
С
8
D 9.5

Answer:

The missing dimension of the prism is (x-4)

Step-by-step explanation:

Here, we want to find the missing dimensions of the prism

To get the volume, we are to multiply three dimensions since we are talking about volume

Mathematically, to find the third dimension, we need to divide the original polynomial by the product of the two other dimensions

The product of the two other dimensions is;

(x-1)(x-9) = x^2-9x-x + 9

= x^2-10x+ 9

So we divide;

(x^3-14x^2+49x-36)/(x^2-10x+ 9)

We can use long division to get this

using long division, the answer here is x-4

The volume of a prism is the product of its dimensions.

The missing dimension of the prism is x - 4

The volume function is given as:

[tex]\mathbf{V(x) = x^3 - 14x^2 + 49x - 36}[/tex]

Let the missing dimension of the prism be y.

So, the volume is calculated using:

[tex]\mathbf{V(x) = y \times (x - 9) \times (x -1)}[/tex]

Multiply the factors

[tex]\mathbf{V(x) = y \times ( x^2-9x-x + 9)}[/tex]

[tex]\mathbf{V(x) = y \times ( x^2-10x + 9)}[/tex]

Equate both expressions of volume

[tex]\mathbf{y \times ( x^2-10x + 9) = x^3 - 14x^2 + 49x - 36}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{x^3 - 14x^2 + 49x - 36}{x^2-10x + 9 }}[/tex]

Factor the numerator

[tex]\mathbf{y = \frac{(x - 4)(x^2-10x + 9 )}{x^2-10x + 9 }}[/tex]

Cancel out common factors

[tex]\mathbf{y = x - 4}[/tex]

Hence, the missing dimension of the prism is x - 4

Read more about volumes at:

https://brainly.com/question/21308855

Answer:

the future value of each deposit = ($67,705 x 1/12 x 0.02) x (1 + 1%)ⁿ = $112.84 x 1.01ⁿ

where n = number of quarters (interest is compounded quarterly)

the effective interest = 1.01⁴ - 1 = 4.06%

Assuming that you are going to make monthly payments, then you would need the number of quarters (n) in order to determine the future value. Since the interest is compounded quarterly, each contribution = $112.84 x 3 = $338.52

For example, if you are planning to save money for 5 years (n = 5 x 4 = 20), then the future value of the investment = $338.52 x 22.019 (FV annuity factor, 1%, 20 periods) = $7,453.87

if you want to calculate the total number of contributions (n):

FV annuity factor, 1%, n? = future value / contribution = $10,000 / $338.52 = 29.5404

since you know the interest rate (1%) you have to look at a future value annuity table and search the n for 29.54. This is approximately 26 periods (FV annuity factor = 29.53).

Answer:

I think option D.

Step-by-step explanation:

lmk if it's wrong

Answer:

5th and 6th of August and will not me I will get

Step-by-step explanation:

ok is a theme for all of us who 6th assignment and we are going too far from changes to our schedule so we will not have a party

Answer:

y/x= -8/-2= 4 => when y=32 => 32/x=4 => x=8

Answer:

86.40

Step-by-step explanation:

First you do 80 x 0.08 to get 6.4, then you add that to 80 to get 86.40 dollars

Answer:

y= 2/3x + 1.25

Step-by-step explanation:

I can't see the exact number but it's probably 1.25. Sorry if it's wrong :)

Answer:

PEMDAS so multiply or divide the coefficient

Step-by-step explanation:

Answer:

All congruent figures are similar

Step-by-step explanation:

Congruent means "same" in mathematics and you have evidence to prove it. You can look at two puppies with the exact same fur color and be like "yeah they're the same". If they are the same size and shape they're congruent. This is why the AAA postulate can't work because triangles can have the same angles yet be different sizes. If figures are not congruent, they can't be similar and figures that aren't similar can't be congruent either.

All similar figures are congruent is true about similar figures

We know two similar planer figures are congruent when we have sides or angles or both that are the same as the corresponding sides or angles or both.

In mathematics, congruent means identical, and you can cite examples to support your claim.

just by looking at them. They are congruent if their dimensions match. Triangles can have the same angles but differ in size, which makes the AAA postulate invalid.

If two figures are not similar, they cannot be congruent, therefore similarly unrelated figures cannot be congruent.

learn more about congruency here :

https://brainly.com/question/7888063

#SPJ2

Answer:

(8 * x) -14 = -11

Step-by-step explanation:

* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.

x = the number that is missing being multiplied by 8

I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.

Answer:

The final score of Roger is 22.  

Step-by-step explanation:

The final score (F) of Roger is given by:

[tex] F = 5R - 2W [/tex]

Where R is the right answers and W is the wrong answers

Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:

[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]

Therefore, the final score of Roger is 22.    

I hope it helps you!                              

Answer:

A, C, F

Step-by-step explanation:

Answer:

ten point zero twenty two

Step-by-step explanation:

How do you write 37.025 in word form?

How to Write Out Number 37.025 in Words: thirty-seven and twenty-five thousandths in (US) American English, Number Converted (Spelled Out) to Words.

Answer:

Step-by-step explanation:

x^2 – 12x + 11 = 0

(x-11)(x-1)

x= 11, 1 completing the square

Answer:

Null Hypothesis

                 H₀ :  P = 3.8

Alternative Hypothesis

                 H₁: P > 3.8

Step-by-step explanation:

Explanation:-

Null Hypothesis :-

 The single statistic, H₀ will be that the sample statistic

H₀ : There is does not differ significantly from hypothetical parameter values

H₀ :  P = 3.8

Alternative Hypothesis:

The statistic , H₁ will be the sample statistic

H₁: There is  differ significantly from hypothetical parameter values

H₁: P > 3.8

Answer:

The equation will have infinitely many solutions.

Option A is correct

Step-by-step explanation:

We need to tell if the equation [tex]2(4x + 10) = 8x + 20[/tex] has one, zero, or infinitely many solutions.

First we solve the equation to find the value of x

[tex]2(4x + 10) = 8x + 20[/tex]

First multiply 2 with terms inside the bracket

[tex]8x+20=8x+20[/tex]

Now Subtract 20 from both sides

[tex]8x+20-20=8x+20-20[/tex]

[tex]8x=8x\\0=0[/tex]

So, the equation will be true for all values of x

As after solving the equation we get 0=0 so, the equation will have infinitely many solutions.

Option A is correct

ayeeeeeeeee not meeee

not me butt ayyyy whos failing school :)

Answer:

neither they are both equal

Step-by-step explanation:

Answer: there equal/ the same.

Step-by-step explanation:

do eat popcorn in a tub

:)

poopy face

Answer:

Maria:  (50 bulbs)/(2 hours) = 25 bulbs/hour

Lois:  (45 bulbs)/(3 hours) = 15 bulbs/hour

Together:  25 + 15 = 40 bulbs/hour

(150 bulbs)/(40 bulbs per hour) = 3 3/4 hours

(3/4 hours)(60 minutes/hour) = 45 minutes

Total time:  3 hours 45 minutes

Final Answer: [tex]b = 0[/tex]

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation [tex]4b + 6 = 2 - b + 4[/tex]?

Step 1: Simplify [tex]2 - b + 4[/tex] to [tex]6 - b[/tex].

[tex]4b + 6 = 6 - b[/tex]

Step 2: Cancel [tex]6[/tex] on both sides.

[tex]4b = -b[/tex]

Step 3: Subtract [tex]-b[/tex] from both sides.

[tex]4b + b = 0[/tex]

Step 4: Simplify [tex]4b + b[/tex] to [tex]5b[/tex].

[tex]5b = 0[/tex]

Step 5: Divide both sides by [tex]5[/tex].

[tex]b = 0[/tex]

~I hope I helped you :)~

Answer:

b = 0

Step-by-step explanation:

(Combine like terms):              4b + 6 = 2 - b + 4  

                                                 4b + 6 = 6 - b    

(Use Addition property of

equality to add b):                    4b + b + 6 = 6

                                                  5b + 6 = 6

(Use Subtraction property of

equality to subtract 6):               5b + 6 - 6 = 6 - 6

                                                           5b = 0

(Divide both sides by 5):           5b = 0

                                                     5     5

Answer:

y = 2(4) + 1

y = 8 + 1

y = 9

Step-by-step explanation:

Answer:

Is there a way u can show a picture instead of us having to download it?

Answer:

the answer is 2

Step-by-step explanation:

Answer:

what is the answer i don´t see a question??

Step-by-step explanation:

Answer:

slope -2

y int (0, 4)

Step-by-step explanation:

Answer:

Im doing the same quesiton for flvs and dont know

Step-by-step explanation:

Answer:

what school do u do

Step-by-step explanation: