Find the length of z. Round your answer to the nearest tenth.

The polynomial that describes the area of the stone is: 3x² - 5x

Area of the stone with a base length of 6 in. is: 78 sq. in.

Area of Parallelogram = base length × height

Given the following:

Area of the parallelogram-shaped stone = x(3x - 5) = 3x² - 5x

To find the area of the stone with a base length (x) of 6 inches, substitute x = 6 into 3x² - 5x:

Area = 3(6)² - 5(6) = 78 sq. in.

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Answer:

its 4

Step-by-step explanation:

trust me bro im a geinus

The initial value of the exponential function shown on the graph should be 4.

The exponential function represents a dependency relationship. In this type of mathematical operation there is a variable in the exponent and the real number in the base.

In this case, the exponential function is:

F(X)=Y

Knowing that the given points correspond to X=0 and Y= 4, when placing in the formula of the function, one finds:

F(0)=4

F(4)=0

So, the initial value of the exponential function shown on the graph should be 4.

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Answer:

y = x-3

step by step explanation:

The equation of a linear function has no exponents higher than 1

Check the picture below.

so hmmm for the sake of completion, let's check where they intersect

[tex]cos^2(x)sin(x)=sin(x)\implies cos^2(x)sin(x)-sin(x)=0 \\\\\\ sin(x)[cos^2(x)-1]=0\implies \begin{cases} sin(x)=0\\ cos^2(x)-1=0 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ sin(x)=0\implies x=sin^{-1}(0)\implies \boxed{x=0} \\\\[-0.35em] ~\dotfill\\\\ cos^2(x)-1=0\implies cos^2(x)=1\implies cos(x)=\sqrt{1} \\\\\\ cos(x)=1\implies x=cos^{-1}(1)\implies \boxed{x=\pi}[/tex]

now, notice, in the picture the function that is "above" or the "ceiling" function is the sin(x), so we'll get the area under the curve by using "above" - "below" functions.

[tex]\stackrel{above}{sin(x)}~~ - ~~\stackrel{below}{cos^2(x)sin(x)} \implies sin(x)-[1-sin^2(x)]sin(x) \\\\\\ sin(x)-[sin(x)-sin^3(x)]\implies ~~\begin{matrix} sin(x)-sin(x) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ +sin^3(x)\implies sin^3(x)[/tex]

now let's use the triple angle identity of sine

[tex]\stackrel{\textit{triple angle identity}}{sin(3x)=3sin(x)-4sin^3(x)}\implies 4sin^3(x)=3sin(x)-sin(3x) \\\\\\ sin^3(x)=\cfrac{3sin(x)-sin(3x)}{4}\implies sin^3(x)=\cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int\limits_{0}^{\pi }~sin^3(x)dx\implies \int\limits_{0}^{\pi }~\left[ \cfrac{3}{4}sin(x)-\cfrac{1}{4}sin(3x) \right]dx[/tex]

[tex]\displaystyle \cfrac{3}{4}\int\limits_{0}^{\pi }sin(x)dx-\cfrac{1}{4}\int\limits_{0}^{\pi }sin(3x)dx\implies \left. \cfrac{3}{4} \cdot -cos(x) \right]_{0}^{\pi }-\left. \cfrac{1}{4} \cdot \cfrac{-cos(3x)}{3} \right]_{0}^{\pi } \\\\\\ \cfrac{3}{2}~~ - ~~\cfrac{1}{6}\implies \implies \blacktriangleright \cfrac{4}{3} \blacktriangleleft[/tex]

Answer:

[tex]\textsf{C)}\quad g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

Vertex = (8, -8)

Step-by-step explanation:

Standard form:  [tex]y=ax^2+bx+c[/tex]

Vertex form:  [tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex

Intercept form:  [tex]y=a(x-p)(x-q)[/tex]

where p and q are the x-intercepts

Therefore, the form that most quickly reveals the vertex is

[tex]g(x)=\dfrac{1}{2}(x-8)^2-8[/tex]

The vertex is (8, -8)

Answer:

here,comparing the corresponding elements,

2x = 32 3y = 81

or x = 32/2= 16 or y = 81/3 = 27

x = 16

y = 27

i hope my answer is helpful to you and please mark me as brainliest

A function, c(x), that models the water used by the car wash on a shorter day is C(x) = 4x³ + 7x² − 14x - 6

Given:

The amount of water used in normal days:

The amount of decrease in water used is modeled by the equation;

To find the function C(x), we would have to subtract eq(ii) from eq(i)

5x³ +9x²-14x +9

-  x³+2x² +15

= C(x) 4x³+7x²-14x-6

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Step-by-step explanation:

144 degree is right answer.

Answer:

144°

Step-by-step explanation:

The central angle is 360°. Since it has 5 divisions, the angle of each division is 72°.

From B to D, it requires 2 rotations.

Work Shown:

d = 3 = diameter

r = d/2 = 3/2 = 1.5 = radius

h = 12 = height or length of the pipe

pi = 3.14 approximately

V = volume of the cylinder pipe

V = pi*r^2*h

V = 3.14*(1.5)^2*12

V = 84.78

V = 85

The cylindrical pipe's volume is about 85 cubic feet.

Answer: true

Step-by-step explanation: The answer is true. As a linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180 degrees.

Answer:

true

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

First we will find how much money Davion paid with.

4 * $20 = $80

Now we can find how much the stuffed animal cost using the controller cost and change received.

Let x be the cost of the stuffed animal

80 = 32 + 18 + x

80 = 50 + x | subtract 50 from both sides

30 = x

This means the stuffed animal cost $30.

That is your answer

- Kan Academy Advance

Based on the amount that Rosetta sells her house and the mortgage she had before she did, the amount she will recieve is $50,000.

Rosetta owes a total of $150,000 for her mortgage payment and was able to sell the house for $200,000.

This means that the amount she will recieve is:

= Selling price - Mortgage

= 200,000 - 150,000

= $50,000

In conclusion, option B is correct.

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Answer:

B. $50,000

Step-by-step explanation:

The other number if the average of two numbers is 41 and one is 27 is 55

Average of number is also known as the mean.

Let the unknown number be "x" such that:

x +27/2 = 41

Determine the value of x

x + 27 = 2(41)
x + 27 = 82
x = 82 - 27

x = 55

Hence the other number if the average of two numbers is 41 and one is 27 is 55

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Answer:

-1 ≤ x < 3

Hope this helps ;)

Answer:

Statistics are incredibly important in real life. For example, we use statistics for weather forecasting.  Probability (which is a form of statistics) is used by weather forecasters to figure out how likely it is that there will be rain, snow, sun, etc. on a given day in a certain area.

Step-by-step explanation:

'*•.¸♡ hope i helped, have a great day ♡¸.•*'

Answer:

The answer is  on the quantity they produce per hour.

Step-by-step explanation:

If they produce more, they will be paid more, based on the rate per finished item

If the probability will be 0.7842. Then the number of students who scored between 200 and 245 will be 941.

The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.

The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.

The scores of a recent test taken by 1200 students had an approximately normal distribution with a mean of 225 and a standard deviation of 18.

Then the number of students who scored between 200 and 245 will be

Then the z-score for x = 200

[tex]z = \dfrac{200-225}{18}\\\\z = -1.389[/tex]

Then the z-score for x = 245

[tex]z = \dfrac{245-225}{18}\\\\z = 1.1111[/tex]

Then we have

[tex]\begin{aligned} P(-1.39 < z < 1.11) &= P(z < 1.11) - P(z < -1.389)\\\\&= P(z < 1.11)- [1-P(z > -1.389)] \\\\&=0.8665 - (1-0.9177) \\\\&=0.7842 \end[/tex]

Then the number of students who scored between 200 and 245 will be

→ 0.7842 × 1200

→ 941.04 ≅ 941

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Answer:

50

Step-by-step explanation:

This is the equation:
x = 5 + 3y
We know that:
x - y = 35

Meaning we only need to solve for y now:

(5 + 3y) - y = 35
5 + 2y = 35
2y = 30
y = 15

Meaning the final formula is

x = 5 + 3(15)
x = 50

Let's set some variables before we solve:

Okay's lets read the question

           ⇒ [tex]x = 3y +5[/tex]

               ⇒ [tex]x-3y=5[/tex]

           ⇒ [tex]x - y = 35[/tex]

Let's put the two equations together and solve

  [tex]x-3y=5 --equation1\\[/tex]

  [tex]x-y=35 -- equation2[/tex]

 (equation2) - (equation1)

  [tex]2y = 30\\y = 15 -- equation 3[/tex]

  (equation 3)'s value of y into (equation2)

  [tex]x - 15= 35\\x = 50[/tex]

Thus: [tex]x = 50[/tex] and [tex]y = 15[/tex]

The larger number is 50

Answer: 50 or Choice 3

Hope that helps!

Answer:

Quick answer, C. 7 units!

Answer:

3.25\

Step-by-step explanation:

Answer:

$2.52

Step-by-step explanation:

u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.

hope this helps:)!!

Answer:

5.1  6.2

Step-by-step explanation:

5.y2-y1/x2-x1
  7-4/6-1=1
6.y2-y1/x2-x1
  -4+6/-1+2=2

Answer:

Step-by-step explanation:

Count the number of scores greater than 65

Total number is

Note: none of answer choices reflect this

Answer:

68 student hope that helps

Answer:

[tex]r = 2km[/tex]

Step-by-step explanation:

Area =

[tex]area = \pi {r}^{2} [/tex]

[tex]12.56 = 3.14 \times {r}^{2} [/tex]

[tex] {r}^{2} = \frac{12.56}{3.14} [/tex]

[tex] {r}^{2} = 4[/tex]

[tex]r = \sqrt{4} [/tex]

[tex]r = 2km[/tex]