If Jim can read an average of 20 pages in 40 minutes, how many hours would it take him to read a manual containing 90 pages?

9514 1404 393

Answer:

  cos(-π/8) = (√(2+√2))/2

Step-by-step explanation:

The half-angle formula is ...

  [tex]\cos{\dfrac{\theta}{2}}=\pm\sqrt{\dfrac{1+\cos{\theta}}{2}}[/tex]

Since cosine is an even function, cos(-π/8) = cos(π/8).

For θ/2 = π/8, θ = π/4 and cos(θ) = (√2)/2. Filling in the formula, we have ...

  [tex]\cos{(-\dfrac{\pi}{8})}=\cos{\dfrac{\pi}{8}}=\sqrt{\dfrac{1+\cos{\dfrac{\pi}{4}}}{2}}=\sqrt{\dfrac{1+\dfrac{\sqrt{2}}{2}}{2}}\\\\=\sqrt{\dfrac{2+\sqrt{2}}{4}}=\boxed{\dfrac{\sqrt{2+\sqrt{2}}}{2}}[/tex]

Answer:

Step-by-step explanation:

Amount of red marbles = 3red

Amount of green marbles = 7 green

If the marble is red and you win $2, the total amount of money won = 3 * $2 = $6

If the marble is green and you loose $1, the total amount of money lost = 7 * $1 = $7

The expected value of the game for you = amount won - amount lost

= $6 - $7

= -$1

This means the expected value is a loss of $1

Answer:

Step-by-step explanation:

First, we want to take the information we have and turn it into an equation, where x is our unknown dimension. For this problem, it would be better if x was equal to the width.

Let's  write out the equation:

X is the width, 2x + 2 is the length, and we are multiplying both by two since there are two sides of the field. It will all equal to 322, because that is the perimeter.

2*x + 2(2x +2) = 322

Now, let's solve:

2*x + 2(2x + 2) = 322

2x + 4x + 4 = 322

6x + 4 = 322

6x = 318

x = 318 ÷ 6

x = 53

The width is 53 yards. To find the length, we multiply 53 by two and add two.

53 * 2 + 2 = 106 + 2 = 108 yards, as the length

Answer:

neither

Step-by-step explanation:

the slopes were [tex]\frac{1}{4}[/tex] and [tex]\frac{4}{1}[/tex]

the slopes have to be the same to be parallel and they have to be -1 to be perpendicular and if they arent that that means they are neither

Hope this helps

Answer:

95

Step-by-step explanation:

Answer:

95

Step-by-step explanation:

8455 divided by 89

Answer: 665

Step-by-step explanation: X + X + 1 + X + 2 = 1998

3X + 3 = 1998

3X + 3 - 3 = 1998 - 3

3X = 1995

3X/3 = 1995/3

X = 665

-77 + (-46 )

- 77 - 46 (+ × - = - )

-123

Answer:

-123

Step-by-step explanation:

This is the answer because:

1) First, multiply the negative sign with the positive sign.

Negative x Positive = Negative

Equation: -77 - 46

2) Now, multiply the negative sign with the negative sign.

Negative x Negative =  Positive

Equation: 77 + 46 = 123

3) Finally, add the greater number's sign (-77) in front of the number.

-123

Hope this helps! :D

Answer:

hee ya go (x-4)(-5x+1)=0. (x−4)(−5x+1)=0 ( x - 4 ) ( - 5 x + 1 ) = 0.

Step-by-step explanation:

If any individual factor on the left side of the equation is equal to  

0.

Answer:

x=4

Step-by-step explanation:

If you do 4-4 in the first one you get 0. Then the problem would look like this.

(0)(-5x+1)=0

It wouldn't matter what the next one looks like because you would multiply it by 0 which would give you 0.

(0)(-19)

0 x (-19) = 0

Answer:

B

Step-by-step explanation:

Answer:

Answer

Answer is option A gained 5 points

Step-by-step explanation:

Please mark as brainliest

Answer:

Step-by-step explanation:

x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

Given,

A certain company are that you must be at least 18 years of age

Let x be the age of employees.

x must be at least 18 years of age.

x≥18

We use ≥ symbol when atleast is used, which means it can be 18 or more than that.

Now employees more than one job-related work experience

Let x be the work experience.

x>1

Here we use > because its given that it should be greater than 1.

Hence, x≥18 and x>1 are the inequalities which represents certain company are that you must be at least 18 years of age and have had more than one job-related work experience.

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Answer:

A.2 B.4 C.3 D.4 E.6

Step-by-step explanation:

1/2 ÷ 3/4 = 1/2 x 4/3 (flip 3/4 and keep 1/2)

If you multiply 1/2 x 4/3 you will get 4/6.

Step-by-step explanation:

This expression will be;

m(m + 82).

Answer:

40 stamps

Step-by-step explanation:

To find how many stamps are on the page, multiply 5 by 8, since there are 5 stamps on each line and there are 8 lines:

5(8)

= 40

So, there are 40 stamps on the page.

Answer:

The answer is 12 yds.

Step-by-step explanation:

The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.

Hope this helped!

Answer:

ion know if imma be right or wrong but im guessing that #1 is C & #4 is either 6 or 7

Step-by-step explanation:

Bc both of the top part of the trapezoids look equal to each other but i could be wrong hopefully this helps

Answer:

If the length is 50 yd, the width is  60 yd.

If the length is 40 yd, the width is  75 yd.

If the length is 48 yd, the width is  62.5 yd.

If the length is 36 yd, the width is 83.33 yd.

The length and the width vary inversely because when the length decreased the width increased

Step-by-step explanation:

The area of any rectangle A = L × W, where

The relation is direct proportion if the quotient of two quantity equals constant  (y/x = k, when y and x increased) and inverse if the product of the two quantity equals constant (yx = k, when x increased y decreased and vice versa)  

∵ The area of the rectangular plot of land = 3000 yards²

∴ A = 3000

∵ Its length = 50 yards

∴ L = 50

→ Substitute them in the rule above to find W

∵ 3000 = 50 × W

→ Divide both sides by 50 to find W

∴ 60 = W

∴ The width of the plot is 60 yards

∵ Its length = 40 yards

∴ L = 40

→ Substitute them in the rule above to find W

∵ 3000 = 40 × W

→ Divide both sides by 40 to find W

∴ 75 = W

∴ The width of the plot is 75 yards

∵ Its length = 48 yards

∴ L = 48

→ Substitute them in the rule above to find W

∵ 3000 = 48 × W

→ Divide both sides by 48 to find W

∴ 62.5 = W

∴ The width of the plot is 62.5 yards

∵ Its length = 36 yards

∴ L = 36

→ Substitute them in the rule above to find W

∵ 3000 = 36 × W

→ Divide both sides by 36 to find W

∴ 83. 33 = W

∴ The width of the plot is  83.33 yards

∵ The area is a constant value

∵ A = LW

→ The product of L and W equals the constant value, can you discover

   that from the values of L and W

∴  The length and the width of the rectangular plot vary inversely

The length and the width of the rectangular plot vary  inversely when the same area is needed.

Area of rectangular plot [tex]=length *width[/tex]

Given that, Area of plot is 3000 square yards.

             [tex]width=\frac{3000}{50} =60yd[/tex]

            [tex]width=\frac{3000}{40}=75yd[/tex]

            [tex]width=\frac{3000}{48}=62.5yd[/tex]

           [tex]width=\frac{3000}{36}=83.34yd[/tex]

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Answer:

Your answer is : A) w = -7/2z

Step-by-step explanation:

Hope this helped : )

Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 5w+9z=2z+3w

In the given equation w and z are the variables.

As per the question we need to solve for w which means we have to find the value of w

Take the like terms on one side by adding -3w-9z on both sides

5w+9z-3w-9z=2z+3w-3w-9z

2w=-7z

Now Divide both sides by two

w=-7/2z

Hence, Option A is correct, the value of w is -7/2z in the equation 5w+9z=2z+3w.

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Answer:

Digit

Step-by-step explanation:

Answer:

Expanded Notation Form:

 30,000  

+ 9,000  

+ 0  

+ 0  

+ 5  

Expanded Factors Form:

 3 × 10,000  

+ 9 × 1,000  

+ 0 × 100  

+ 0 × 10  

+ 5 × 1  

Expanded Exponential Form:

3 × 104

+ 9 × 103

+ 0 × 102

+ 0 × 101

+ 5 × 100

Word Form:

Thirty-nine thousand five.

Step-by-step explanation:

from (google)

Answer:

e

Step-by-step explanation:

e

Answer:

Too many :(

Step-by-step explanation:

Its life u know

can i pls have brainliest

Answer:

that number is probably too high to count, don't ya think

Step-by-step explanation:

csc x / (cot x + tan x)

Write in terms of sine and cosine.

(1 / sin x) / [(cos x / sin x) + (sin x / cos x)]

Multiply top and bottom by sin x.

1 / [cos x + (sin²x / cos x)]

Multiply top and bottom by cos x.

cos x / (cos²x + sin²x)

Use Pythagorean identity.

cos x / 1

cos x

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Answer:

Step-by-step explanation:

lemme see the word bank

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

9514 1404 393

Answer:

  an extraneous solution

Step-by-step explanation:

A solution that shows up as a result of the process of solving an equation, but that does not work in the original equation, is called "an extraneous solution".

_____

Additional comment

Radical and rational expression equations can have extraneous solutions. For radical equations, they are typically ones that require a negative square root (or negative root of even index). For rational expression equations, they typically involve "excluded" values, values that make a denominator be zero.