Emanuel read 150 pages in 5 hours.

Find his average reading rate.

Answer:

arc EFC = 237°

Step-by-step explanation:

arc DEF = 140°

arc EF = 140° - 83° = 57°

arc DC = arc FG

arc DC = (360° - 140° - 140°)/2 = 40°

arc EFC = arc CG + arc FG = arc EF = 140° + 40° + 57° = 237°

Answer: x=3

Step-by-step explanation:

One of the properties of diagonals of a rectangle is that they bisect each other, meaning that four segments are equal.

For example, in this question, according to the property, AE, CE, DE, BE will be equal.

Solve:

AE=CE

AE+CE=AC

CE+CE=AC

DB=AC

DB=2CE

(18)=2(4x-3)

18=8x-6

18+6=8x-6+6

24=8x

24/8=8x/8

x=3

Hope this helps!! :)

Please let me know if you have any questions

Answer:

y = 0.14t + 481

Population in 17 years: 483.38

Step-by-step explanation:

y = (m) (x) + b

y = (slope) (x) + starting value

Answer:

50 is the answer brainliest?

Step-by-step explanation:

Answer:either c or b

Step-by-step explanation: to be honest I searched up

The solution of Equation 2x² + x -3 =0 by factoring is 1 and -3/2.

The breaking or decomposition of an entity (such as a number, a matrix, or a polynomial) into a product of another entity, or factors, whose multiplication results in the original number, matrix, etc., is known as factorization or factoring in mathematics.

We have the equation 2x² + x -3 =0

Now, factorizing the above equation using splitting the middle term we get

2x² + x -3 =0

2x² + 3x - 2x -3 =0

x( 2x + 3) - (2x+ 3)= 0

(2x + 3)(x - 1)= 0

x = -3/2 or 1.

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Hi there!

[tex]\large\boxed{D. \text{ }y = -4x + 6}[/tex]

To derive an equation given the points, we can use the slope formula:

[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}}[/tex]

Plug in the corresponding coordinates:

[tex]slope = \frac{-6-2}{3-1}[/tex]

Simplify:

[tex]slope = \frac{-8}{2} = -4[/tex]

Therefore, we have:

y = -4x + b

Plug in the x and y values for a coordinate to solve for b:

2 = -4(1) + b

2 = -4 + b

b = 6

The equation is:

y = -4x + 6. The correct answer is D.

Answer:

6(4X-1) = 24X -6 , (2 . 12X ) - (2 . 3) .

24X+6 = (6 . 4X) + (6 . 1) , 6( 4X + 1 ) .

(4 . 6X) - (4 . 2) = 24X + 8 , 4(6X + 2) .

Step-by-step explanation:

Hope it was helpful dear , good luck ^^

Answer:

22 units

Step-by-step explanation:

Graphed to solve.

Width:

The distance between points K and G, and points J and H is both 4 units. So for both distances between the set of points will be 8 units total.

Length:

The distance between points G and H, and points J and K is both 7 units. So for both distances between the sets of points will be 14 units total.

14 + 8 = 22

The exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].

The exact values of trigonometric functions are values of trigonometric functions of certain angles that can be expressed exactly using expressions containing real numbers and roots of real numbers. These values are also called analytic values of trigonometric functions or trigonometric values of special angles.

The trigonometric functions are also called the angle functions, which relates the angles and the ratios of the sides of a right angle triangle.

According to the given question.

We have a trigonometric function

[tex]cos(\frac{11\pi }{8} )[/tex]

We have to find the exact value of the above trigonometric function.

since,

[tex]\frac{11\pi }{8}[/tex] can be written as [tex](\pi +\frac{3}{8\pi } )[/tex]

[tex]\implies cos(\frac{11\pi }{8} ) = cos(\pi +\frac{3}{8}\pi )[/tex]

And we know that,

Cos(π + θ) = -cosθ

Because, π + θ lies in third quadrant and in third quadrat cos gives negative values.

Also,

[tex]cos\frac{\alpha }{2} = \pm\sqrt{\frac{1+cos\alpha }{2} }[/tex]        ....(i)

Therefore,

[tex]cos(\pi +\frac{3}{8} \pi )[/tex]

[tex]= -cos(\frac{3}{8} \pi )[/tex]

[tex]= -cos(\frac{3}{2(4)} \pi )[/tex]

[tex]= -\sqrt{\frac{1+cos\frac{\pi }{4} }{2} }[/tex]

[tex]= -\sqrt{\frac{1+\frac{1}{\sqrt{2} } }{2} }[/tex]

[tex]= -\sqrt{\frac{1+\frac{\sqrt{2} }{2} }{2} }[/tex]

[tex]= -\sqrt{\frac{2+\sqrt{2} }{4} }[/tex]

Hence, the exact value of [tex]cos(\frac{11\pi }{8} )[/tex] is [tex]-\sqrt{\frac{2+\sqrt{2} }{4} }[/tex].

Thus, option A is correct.

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Answer:

2?

Step-by-step explanation:

From my understanding, all numbers 300 and below represent defective mp3s, so there's two.

Answer:

7144

Step-by-step explanation:

Answer:

She earned 221.25 in commission

Step-by-step explanation:

2.5% of 8850 is 221.25

Answer:

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving

Step-by-step explanation:

Step(i):-

Given that the average  of dietary fiber per serving μ = 3 grams

Given that the mean of the sample x⁻ = 3.4 grams

Given that the standard deviation of the sample (S) = 0.8 grams

Level of significance = 0.01

Critical value = 2.326

Step(ii):-

Null hypothesis: H₀:  μ = 3 grams

Alternative Hypothesis: H₁: μ ≠ 3 grams

Tets statistic

               [tex]t = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }[/tex]

              [tex]t = \frac{3.4-3 }{\frac{0.8}{\sqrt{25} } }[/tex]

             t = 2.5

The calculated value   t = 2.5>2.326 at 0.01 level of significance

The null hypothesis is rejected at a 0.01 level of significance.

Final answer:-

Wheaties cereal is not claimed to have an average of 3 grams of dietary fiber per serving

Answer:

https://youtu.be/cqF6M25kqq4

Step-by-step explanation:

Answer:

Lateral Area = 13 x 13 x 4 = 676 ft²

Surface area = 13 x 13 x 6 = 1014 ft²

Volume = 13 x 13 x 13 = 2197 ft³

Answer:Total number of students surveyed =560

Step-by-step explanation:

Number of students who preferred soda =420

Percentage of students who preferred Soda =75%

Percentage of students who preferred juice =100-75%=25%

Using the formula,

Percentage of students who preferred Soda x total number of students surveyed =Number of students who preferred soda

Therefore we have that

total number of students surveyed  =Number of students who prefeerd juice/Percentage of students who preferred Soda

Total number of students surveyed =420/75%

=560

Answer:

B

Step-by-step explanation:

Answer:

Ellie can make eight stacks of quarters with four quarters in each stack

Step-by-step explanation:

Answer:

c is the anser

Step-by-step explanation:

Answer:

x = 15

Step-by-step explanation:

Corresponding sides of similar shapes are proportional to each other. Thus:

(10 + 2)/10 = (x + 3)/x

12/10 = (x + 3)/x

Cross multiply

12*x = (x + 3)*10

12x = 10x + 30

12x - 10x = 30

2x = 30

x = 30/2

x = 15

Answer:91

Step-by-step explanation: 42 - 5(7) (4+9)

5*7=35

42-35= 7

(4+9)=13

7(13)= 91

The value of expression,42 - 5z + 3(x + y) at x=4, y=9, z=7 will be 46.

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: Number/variable, mathematical operator, and expression.

It is given that the expression is,42 - 5z + 3(x + y)

We have to find the value of the expression at x=4, y=9, and z=7.

The value of the expression is obtained by putting the values,

=42 - 5z + 3(x + y)

=42-5(7)+3(4+9)

=42-35+3(13)

=42-35+39

=46

Thus, the value of the expression will be 46.

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Answer:

Step-by-step explanation:

Answer: A

Step-by-step explanation:

Well four weels in every car so it’s 4 times cars (a)

4 times A=W

Step-by-step explanation: im smart also if u do multiply it by a by 4 it equals  W

Step-by-step explanation:

0.0580644 m2 hope this helps

Step-by-step explanation:

Here,

[tex] \frac{21}{2}ft \: \times \: \frac{1}{4} ft[/tex]

[tex] = \frac{21}{8} {ft}^{2} [/tex]

OR :

[tex]2 \frac{5}{8} {ft}^{2} \: \: also \: \: \: 2.625 {ft}^{2} [/tex]

Answer:

0

Step-by-step explanation:

Plug 2 in for x

[tex]2(2) -4[/tex]

Simplify

[tex]4-4[/tex]

[tex]=0[/tex]