Find the arc length of the subtending arc for an angle of 3pi/4 radians on a circle of radius 2.5.

Answer:

A) 30x

Step-by-step explanation:

5(x - 2x + 6x + 10)

Distribute:

5(x) + 5(-2x) + 5(6x) + 5(10)

5x - 10x + 30x + 50

Therefore, 5(x - 2x + 6x + 10) is equivalent to 5x - 10x + 30x + 50

Hope this helps!

Answer:

A) 30x

Step-by-step explanation:

Given equation:

5(x – 2x + 6x + 10) = 5x – 10x + ? + 50

Let the "?" be represented as "a". Then,

⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50

[Right hand side] Put all the terms inside a parenthesis (except "a").

⇒ 5(x – 2x + 6x + 10) = 5x – 10x + a + 50

⇒ 5(x – 2x + 6x + 10) = (5x – 10x + 50) + a

Isolate the "a" on one side by subtracting the terms inside the parenthesis.

⇒ 5(x – 2x + 6x + 10) - (5x – 10x + 50) = (5x – 10x + 50) + a - (5x – 10x + 50)

⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a

[Left hand side] Simplify the distributive property

⇒ 5(x – 2x + 6x + 10) - 5x + 10x - 50 = a

⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a

[Left hand side] Open the parentheses

⇒ (5x – 10x + 30x + 50) - 5x + 10x - 50 = a

⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a

[Left hand side] Combine like terms and simplify

⇒ 5x – 10x + 30x + 50 - 5x + 10x - 50 = a

⇒ x(5 – 10 + 30 - 5 + 10) + (50 - 50) = a

⇒ x(30) = a

[Left hand side] Open the parenthesis and simplify

⇒ x(30) = a

⇒ 30x = a = ?

Therefore, the correct option is A (30x).

Answer:

720[tex]x^{6}[/tex]+99

Step-by-step explanation:

Answer:

It's -3.125

Step-by-step explanation:

1/8 in decimal is 0.125

the 3 is a whole number so just put it in front.

Remember it's a negative, so you get:

-3.125

Answer:

-3.125

Step-by-step explanation:

- Multiply 3 and 8 to get 24. [tex]-\frac{24+1}{8}[/tex]

- Add 24 and 1 to get 25. [tex]-\frac{25}{8}[/tex]

- Turn [tex]-\frac{25}{8}[/tex] into a decimal to get -3.125

Using the normal distribution, it is found that he needs a score of 605 in exam b in order to do equivalently well as he did on exam a.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For the z-score for exam a, we have that the parameters are given as follows:

[tex]X = 22, \mu = 40, \sigma = 10[/tex]

Hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{22 - 40}{10}[/tex]

Z = -1.8.

Then, for the equivalent grade X in exam B, we have that:

[tex]Z = -1.8, \mu = 650, \sigma = 25[/tex]

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.8 = \frac{X - 650}{25}[/tex]

X - 650 = -1.8 x 25

X = 605.

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The P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Part A:

Total number of students = 154

Total number of students passed the test = 49

The probability:

P(pass | Test A) = 49/154 = 31.81%

Part B:

Total number of students = 154

Total number of students passed the test = 46

The probability:

P(pass | Test B) = 46/154 = 29.87%

Thus, the P(pass | Test A) is 31.81%, P(pass | Test B) is 29.87%.

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Answer:

87.5%

Step-by-step explanation:

add the number of students who took test A (49+7=56)

take the number of students who passed test A and divide it by the number of students who took the test A

49÷56=.875= 87.5%

Answer:

option number 4 seems sensible!

Answer:

pi

Step-by-step explanation:

First solve the integral

[tex]\int\ {(1+ cos x} )\, dx[/tex]

[tex]\int\ {1} \, dx +\int\ {cos x} \, dx[/tex]

[tex]\int\ {1} \, dx = x[/tex] and [tex]\int\ {cos x} \, dx = sin x[/tex]

x + sin x

Now consider the limit from 0 to π

[tex]\lim_{0 \to \\pi } (x+sin x)[/tex]

(π +sin π) -(0 +sin 0)

sin π = 0 and sin 0 = 0

π-0

π

Answer:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx=\pi[/tex]

Step-by-step explanation:

[tex]\displaystyle \int\limits^\pi_0 {(1+\cos x)} \, dx\\\\=x+\sin x\biggr|^{\pi}_0\\\\=[\pi+\sin\pi]-[0+\sin0]\\\\=\pi[/tex]

Remember your antiderivatives!

[tex]\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{"d" directly proportional to "t"}}{d=kt}\qquad \textit{we also know that} \begin{cases} d=910\\ t=13 \end{cases} \\\\\\ 910=k13\implies \cfrac{910}{13}=k\implies 70=k~\hfill \boxed{d=70t} \\\\\\ \textit{when t=14, what is "d"?}\qquad d=70(14)\implies d=980~miles[/tex]

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

Answer:

1) y = 1.5x + 1

2) y = x + 4

Explanation:

[tex]\sf slope : \dfrac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]\sf slope = \dfrac{4-1}{2-0} =1.5[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\sf \rightarrow y - 1 = 1.5(x - 0)[/tex]

[tex]\sf \rightarrow y = 1.5x + 1[/tex]

[tex]\sf slope = \dfrac{4-1}{0-(-3)} =1[/tex]

Equation:

[tex]\sf y - y_1 = m(x-x_1)[/tex]

[tex]\rigtharrow \sf y - 4 = 1(x-0)[/tex]

[tex]\rigtharrow \sf y = x + 4[/tex]

Answer:

x = 34 degree

Step-by-step explanation:

they're corresponding angles. so, they have equal measures.

Answer:

1. -3*-4+3= 15Y=152.-3*-2+3=9Y=93. -3*0+3=3Y=34. -3*2+3= -3Y= -3

by-step explanation:

Answer:

28.65

hope this helps!

Answer:

The answer would be 3.8.

Step-by-step explanation:

Hope this helps!

Answer:

35\9 or 3.8

Step-by-step explanation:

[tex]\sf 7 \times \cfrac{5}{9} [/tex]

Let's combine numbers in one fraction.

[tex]\sf \cfrac{7 \times 5}{9} [/tex]

Multiply 7 and 5 which will give you 35.

[tex]\sf \cfrac{35}{9} [/tex] or [tex]\sf 3.8[/tex]

Answer:

Step-by-step explanation:

Remark

You have an isosceles triangle. That means that the angles opposite the marked sides are equal. So mark the angle on the lower left of the triangle as 50 degrees.

The solution to problem depends on the fact that the sum of the two inside angles of the triangle (each of which is marked as 50 degrees) not supplementary to the exterior angle, are still equal to the exterior angle.

Givens

<1 = 50 degrees

<2 = 50 degrees

Exterior angle = 15x + 25   Substitute the givens into the equation

Equation

<1 + <2 = 15x + 25

Solution

50 + 50  = 15x + 25                       Combine the left side

100 = 15x + 25                               Subtract 25 from both sides

100 - 25 = 15x + 25 - 25                Combine

75 = 15x                                          Divide both sides by 15

75/15 = 15x/15                      

5 = x

Answer

<1 = 50 degrees

<2 = 50 degrees

15x + 25 = 75 + 25 = 100

Answer:

The equation is n2 + 3

Step-by-step explanation:

The n represents the number.

for example the number 10

if you put it in the equation it becomes

(10)(2) +3

10x2=20

20+3=23

Answer:

400000

Step-by-step explanation:

your welcome

The sale the company must make and sell to break even is;

B=600

Generally, the equation for the break even  is mathematically given as

In conclusion

B=y vertex/price of each

Therefore

B=15600/26

B=600

In conclusion, the company's  break even is

B=600

CQ

A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic function with a  y-intercept of 8,400 and a vertex of (500, 15,900). How many helmets must the company make and sell to break even?

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Answer:

600

Step-by-step explanation:

Step-by-step explanation:

If 5x - 8 = 12 , then x = 4

5x - 8 = 12

5x = 12 + 8

5x = 20

x = 20/5

x = 4

If -2(3x + 5) = -17 + x , then x = 1

-2(3x + 5) = -17 + x

-6x - 10 = -17 + x

x + 6x = 17 - 10

7x = 7

x = 7/7

x = 1

Answer:

B and D because I know that I think

Step-by-step explanation:

A. AT1,2).B1.0).C'(4.0).D*(4,2)

your answer

Answer:

I only did 1-16 but here:

11. x² + y² = 4

12. (x+3)² + (y-3)² = 1

13. x² + (y-3)² = 16

14. (x-7)² + (y+2)² = 4

15. x² + (y+20)² = 100

16. (x+4)² + (y+6)² = 16

Answer:

Step-by-step explanation:

(-2-4)/(5-0)= -6/5

y - 4 = -6/5(x - 0)

y - 4 = -6/5x + 0

y = -6/5x + 4

Answer:

The activity log can be filled up for any kind of activity including physical activity like exercise.

Step-by-step explanation:

Warmed up for 5 minutes.

Ran for 15 minutes across the street.

Sat to cool down for about 6 minutes.  

Answer:

increase in price = $6664

price of next model = $56664

Step-by-step explanation:

(11.9 ÷ 100 ) x 56000 = $6664

56000 + 6664 = $56664

Answer:

y = (-2/3)x + 4 or

3y = -2x + 12

Step-by-step explanation:

Slope of line passing through (x₁, y₁) and (x₂, y₂) is given by
[tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

In this particular case where the points are (6,0) and (0,4) we get the slope as (4-0)/(0-6) = -2/3

Equation of a line with slope m and y intercept c is given by

y = mx + c

substituting for m we get the equation y = (-2/3)x + c

Substituting the first point (6,0) we get

0 = (-2/3)(6) + c or -4 + c = 0 or c =4

Therefore y = (-2/3)x + 4 or multiplying both sides by 3 we get

3y = -2x + 12