y=(1+2z+3z^3)(5z+8z^2-Z^3)
​

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As we can see in the given figure, The two triangles are congruent to each other by many criterias, so we can infer that Their corresponding sides are of equal length.

That is :

[tex]\qquad \tt \dashrightarrow \:2x + 5 = 13[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 13 - 5[/tex]

[tex]\qquad \tt \dashrightarrow \:2x = 8[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 8 \div 2[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 4[/tex]

Therefore, value of x is 4

Answer:

x = 4

Step-by-step explanation:

the point here is congruent triangles.

according to the image,

2x + 5 = 13 <---- subtract constants

2x = 13 - 5 = 8 <--- finalize

2x = 8 <----------- divide both sides by 2

2x / 2 = 8 / 2 <-- finalize

x = 4 <--- answer

Answer:

648000 times/hr

Step-by-step explanation:

6.48 * 10^5
Move the decimal 5 times to the right.
The answer you should get is 648000 times per hour.

The domain of the function 3x² + 6x – 8 is a real number and the range of the function 3x² + 6x – 8 will be (-11, ∞).

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = 3x² + 6x – 8

The range of the function will be

f(x) = 3x² + 6x – 8

f(x) = 3x² + 6x + 3 – 11

f(x) = 3(x² + 2x + 1) – 11

f(x) = 3(x + 1)² – 11

Then the range of the function will be from -11 to infinity.

More about the domain and range link is given below.

https://brainly.com/question/12208715

The linear cost function of the computer shop in this scenario will be C(x) = 649x + 1500.

From the information, the linear cost function is C(x) = 649x + 1500 and the linear revenue function will be R(x) = 899x.

The cost of selling 37 computers will be:

C(x) = 649x + 1500

C(x) = 649(37) + 1500

C = 25513

The revenue from selling 37 computers will be:

R(x) = 899x.

R = 899(37)

R = 33263

The breakeven point will be:

649x + 1500 = 899x

899x - 649x = 1500.

250x = 1500

x = 1500/250

x = 6

Learn more about functions on:

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Answer:

please check photo for detailed analysis

D

W = Z + 6

W + z = 30

WZ = 30

Answer:

p > 8

Step-by-step explanation:

8p - 48 > 4p - 16

plus 48 on both sides

8p > 4p + 32

minus 4p on both sides

4p > 32

divide 4 on both sides, 32 ÷ 4 = 8, so,

p>8

Answer:

P > 8 ??? I don't know if this is right and if its not then sorry lol

Step-by-step explanation:

Multiply 8(p-6) and 4(p-4)

You will get 8p - 48 > 4p - 16

Then add 48 to -16

Then you will get 8p > 4p + 32

Then subtract 4p from 8p

Then you will get 4p > 32

Then divide 4 from 4p and 32

Then you will get p > 8

Answer:

21/8 or 2 5/8

Step-by-step explanation:

7/2 miles is equal to 3 1/2 mile trail, or also a 3 2/4 mile trail. You then multiply 3 2/4 and 3/4 and get 2 5/8 or 21/8.

Answer:

Below in bold.

Step-by-step explanation:

a) we need the grestest common factor of  theses values

153 = 3 * 3 * 17

255 =  3 * 5*17

357 = 3 * 7 * 17

The GCF = 3 * 17 = 51.

a) the least possible number of children  is 3.

b) The maximum number is 51 ( as 51 is the GCF of the given values).

c) the least possible number of fruits is when  b)  occurs, that is:

153/51, 255/51 and 357/51

= 3 apples , 5 oranges and 7 pears.

d) the maximum number of fruits is :

153/3, 255/3 and 357/3

= 51 apples , 85 oranges and 119 pears.

Answer:

a) 3 children

b) 51 children

c) 3 apples, 5 oranges and 7 pears

d) 51 apples, 85 oranges and 119 pears

Step-by-step explanation:

lnc - Least possible number of children in group

mnc - maximum possible number of children in group

a - Apples

o - Oranges

p - Pears

a = 153

o = 255

p = 357

a)

To solve this, find the highest divisor for the apples, oranges and pears.

[tex]a = \frac{153}{51} [/tex]

[tex]a = 3[/tex]

[tex]o = \frac{255}{85} [/tex]

[tex]o = 3[/tex]

[tex]p = \frac{357}{119} [/tex]

[tex]p = 3[/tex]

In order for each child to get 51 apples, 85 oranges and 119 pears, there would need to be a minimum of 3 children in the group.

[tex]lnc \: = 3[/tex]

b)

To solve this, find the lowest divisor for the apples, oranges and pears.

[tex]a = \frac{153}{3} [/tex]

[tex]a = 51[/tex]

[tex]o = \frac{255}{5} [/tex]

[tex]o = 51[/tex]

[tex]p = \frac{357}{7} [/tex]

[tex]p = 51[/tex]

In order for each child to get 3 apples, 5 oranges and 7 pears, there would need to be a maximum of 51 children in the group.

[tex]mnc = 51[/tex]

c)

In a group of 51, each child will get:

- 3 apples

- 5 oranges

- 7 pears

d)

In a group of 3, each child will get

- 51 apples

- 85 oranges

- 119 pears

The mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

We have:

p = 0.03

n = 500 students

[tex]\rm {\hat p} - Normal[/tex]

So the mean:

[tex]\rm \mu _\hat p \ = \ p \ = \ 0.03[/tex]

For standard deviation:

[tex]\rm \sigma_p = \sqrt{\frac{pq}{m} }[/tex]

q = 1 - p = 1 - 0.03 = 0.97

[tex]\rm \sigma_p = \sqrt{\frac{0.03\times 0.97}{500} }[/tex]

[tex]\rm \sigma_p = 0.008[/tex]

Thus, the mean of the sampling proportion is 0.03 and the standard deviation of the sampling proportion is 0.008 if the probability that a student forgets to bring their ID with them when they take their SAT is 3%. and a random sample of 500 students was selected.

Learn more about the standard deviation here:

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Answer:

our fraction is 75.438596491228/100, which means that 43/57 as a percentage is 75.4386%.

Step-by-step explanation:

Answer:

75%

Step-by-step explanation:

To convert a fraction to a percentage, multiply the fraction or result by 100. [tex](\frac{43}{57})*100 = 75.44%[/tex] = 75%

*note that 75.44 is rounded, the original number is longer.

Answer:

D) X^2 = 1.608;

P-value > 0.25

Step-by-step explanation:

Correct on Khan

Answer:

y = -2x² + 12x - 14

Step-by-step explanation:

Isolate the "-2" in (x - 3)² by using brackets:

Using the formula (a - b)² = a² - 2ab + b²:

Open the brackets on the R.H.S

Simplify the expression on the R.H.S

Answer:

(3, 13)

Step-by-step explanation:

Original coordinates of A

After translating left 4 units

After translating up 8 units

Answer:

well for starters

the answer you get when you factor it out is 3(x+3)(x+3)

i know that would mean x=-3 but i dont know how the big 3 would effect anything. hope this helps

Answer:

$172.80

Step-by-step explanation:

The phone cost $800

Decreases by 2/5 every year. So the cost would be 3/5 (instead of doing 800 - 800 *2/5 its easier to just do 800*3/5)

Here is a equation for this question:

[tex]800* (\frac{3}{5})^{t}[/tex]

t = time in years

So we can plug in 3 for t

[tex]800* (\frac{3}{5})^{3}[/tex]

[tex]800* (\frac{27}{125})[/tex]

[tex]172.8[/tex]

So the phone is now worth $172.80

Hope this helps! :)

The function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].

The zero of a function is any replacement for the variable that will produce an answer of zero.

Graphically, the real zero of a function is where the function's graph crosses the x-axis; that is, the real zero of a function is the x-intercept (s) of the function's graph.

The function which has zeros at x = 10 and x = 2 is;

[tex]\rm f(x)=(x-10)(x-2)\\\\f(x)=x(x-2)-10(x-2)\\\\f(x)= x^2-2x-10x+20\\\\f(x)=x^2-12x+20[/tex]

Hence, the function which has zeros at x = 10 and x = 2 is [tex]\rm f(x)=x^2-12x+20[/tex].

To know more about the function click the link given below.

https://brainly.com/question/10545123

Answer: A. f(x) = x^2 – 12x + 20

right on edge 2023 :)

Answer:

1 in 999 i guess

Step-by-step explanation:

Answer:

[tex] \: [/tex]

Step-by-step explanation:

We'll solve this using the Pythagorean theorem, we know that,

[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}}[/tex]

So, As it is given in the question that, the length of one leg of a right triangle is 9 ft and the length of the hypotenuse is 3 feet longer than the other leg and we are to find the length of the hypotenuse and the other leg.

[tex] \: [/tex]

Let us assume the other leg as x ft and therefore the hypotenuse will be (x + 3) ft.

[tex] \: [/tex]

Now, substituting the values in the formula :

[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x + 3 {)}^{2} = (9 {)}^{2} + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad (x {)}^{2} + 2.x.3 + {(3)}^{2} =81 + (x) {}^{2} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad \cancel{ (x {)}^{2}} + 2.x.3 +9 =81 + \cancel{(x) {}^{2} }}}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x + 9 =81 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =81 - 9 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad 6x =72 }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{72}{6} }}} \\ \\ [/tex]

[tex]{\longrightarrow \pmb{\frak {\qquad x =12 }}} \\ \\ [/tex]

Therefore,

I think it is exactly 90ft

Answer:

150-179 minutes

Step-by-step explanation:

The most common interval (the tallest graph) of minutes students spent watching watching TV?

The correct answer should be 150-179 minutes because it's the most common, meaning that a lot of students spent 150-179 minutes watching TV.

Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

As per the given graph we can observe the number of students which watched TV for certain intervals.

According to question, we have to find the common interval of minutes students spent watching TV~

That means : we have to find the time interval in which most of the students prefer to watch TV ~

Hence, the most common interval is :

[tex]\qquad \tt \dashrightarrow \:150 - 179 \: \: \: minutes[/tex]

Answer:

We know that:

small diameter = 2 * 10^-2 in

large diameter = 6 * 10^-2 in

We want to know how many times larger is the thin diameter compared to the large one.

We will do this as follows:

large diameter = k * small diameter

where k is the number of times that we want to find

6 * 10^-2 = k * 2 * 10^-2

k = (6 * 10^-2) / (2 * 10^-2)

k = 3

This means that the large diameter is 3 times the small one.

Step-by-step explanation:

Answer:

The best game I can think of is the game of life

Step-by-step explanation:

Simply because its fun to have different experiences each time you play and can chose whatever

Answer:

Mobile- Animal crossing pocket camp

Step-by-step explanation:

I love this game :3

It's really relaxing and a fun way to pass a few minutes. -Crispin

Answer:

Consumer rights and consumer protection law provides a way for individuals to fight back against abusive business practices. These laws are designed to hold sellers of goods and services accountable when they seek to profit by taking advantage of a consumer's lack of information or bargaining power.

Step-by-step explanation:

Individuals can use consumer rights and consumer protection laws to fight back against unfair company practices.

Consumer rights refer to a corpus of legislation that governs what manufacturers of goods must do to safeguard their consumers from damage.

These statutes arose from a succession of court battles, and they have been influenced by the outcomes of those battles.

These rules are intended to hold retailers and service providers responsible when they seek to benefit from a consumer's lack of knowledge or bargaining power.

More about the consumer rights link is given below.

https://brainly.com/question/7644542

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Using the permutation formula, as the order is important, it is found that 6720 lineups are possible.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this problem, 5 bands are selected from a set of 8, hence:

[tex]P_{8,3} = \frac{8!}{3!} = 6720[/tex]

6720 lineups are possible.

More can be learned about the permutation formula at https://brainly.com/question/25925367

Answer:

The points A,B, and C are collinear, so both segments AB and AC form one straight line.

Since segments AB and AC have a common point A so they form an angle BAC

Answer:

x = 27°

Step-by-step explanation:

[tex]m < 2 = 2\% \times 180 \\ = 36 \\ \\ m < 2 = 65\% \times 180 \\ = 117 \\ \\ [/tex]

Now,

[tex]x = 180 - (36 + 117) \\ \\ x = 180 - 153 \\ \\ x = 27[/tex]