You measure a foam roller in the shape of a cylinder. The foam roller has a diameter of 5.9375 inches and a height of 53.5 inches. About how many cubic inches of foam were used to make the roller?

The expression that is equivalent to the given expression (10^−2 • 4^5)^−2 is 10^(4) • 4^(−10)

The expression is given as

(10−2 • 45)−2

Rewrite the above expression properly as follows:

(10^−2 • 4^5)^−2

Apply the power rule of indices

So, we have

(10^−2 • 4^5)^−2 = 10^(−2 * −2) • 4^(−2 * 5)

Evaluate the product of powers

So, we have

(10^−2 • 4^5)^−2 = 10^(4) • 4^(−10)

Hence, the expression that is equivalent to the given expression (10^−2 • 4^5)^−2 is 10^(4) • 4^(−10)

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Greetings from Brasil...

It is possible to answer this question through Determinant

| X     Y     1 |

| X₁    Y₁    1 |  = 0

| X₂    Y₂   1 |

We have:

(X₁; Y₁) = (-9; 8)

(X₂; Y₂) = (-3; -1)

then

| X   Y   1 |

| -9  8   1 |  = 0

| -3  -1   1 |

Answer:

it went up 20%

Step-by-step explanation:

Expanding out the equation, we get

[tex]x^2 - ax - bx+ab+x^2 -bx-cx+bc+x^2 -ax-cx+ac=0 \\ \\ 3x^2 -x(2a+2b+2c)+(ab+bc+ac)=0[/tex]

Considering the discriminant,

[tex](2a+2b+2c)^2 - 4(3)(ab+bc+ac) \\ \\ =4a^2 + 4b^2 + 4c^2 + 8(ab+bc+ac)-12(ab+bc+ac) \\ \\ =4(a^2 + b^2 + c^2 - ab - bc - ac) \\ \\ =2((a-b)^2 + (b-c)^2 + (c-a)^2)[/tex]

This is always non-negative, meaning the roots are real.

The roots are equal if and only if the discriminant is 0, which is when a=b=c.

The shorter side of the rectangle is 18 feet.

Perimeter of a rectangle = 2(l + w), where w is the width of the rectangle and l is its length.

Given the following:

Another side of the rectangle = width = w

One side of the rectangle = length = 3w - 9

Perimeter of the rectangle = 126 feet

Therefore:

2(3w - 9 + w) = 126

2(4w - 9) = 126

8w - 18 = 126

8w = 126 + 18

8w = 144

8w/8 = 144/8

w = 18

One side of the rectangle = 3w - 9 = 3(18) - 9 = 45

Therefore, the shorter side of the rectangle is 18 feet.

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The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The numbers are given below.

5 and [tex]1 \frac{1}{9}[/tex]

The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be

[tex]\rightarrow 5 \times 1 \dfrac{1}{9}[/tex]

⇒ 5 x 10 / 9

⇒ 50/9

The product of the numbers 5 and [tex]1 \frac{1}{9}[/tex] will be equal to the fractional number 50/9.

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Answer:

Here is the answer, let me know if I did it wrong.

Answer:

IK = 13 and x = - 12

Step-by-step explanation:

Let's write down each segment and if available express it in terms of x which has to be determined in order to find length of segment IK

We have IK = x + 25 (to be determined)

JK = 2x + 30     (1)

KL (unknown)

IL = x + 34      (2)

JL = 15            (3)

The entire segment

IL = IJ + JL

Substituting for JL = 15 we get IL = IJ + 15

But we are given IL = x + 34

IJ + 15 = x + 34

IJ = x + 34 -15 = x + 19   (4)

IK = IJ + JK

Substituting for IJ = x + 19 from equation (4) and JK = 2x + 30 from equation (1) we get IJ + IK = x + 19 + 2x + 30 = 3x + 49

But we are given that IK = x + 25

So

3x + 49 = x + 25

Moving x from the RHS to the LHS and 49 from the LHS to the RHS we get

3x-x = 25 - 49

2x = -24

x = -12

IK = -12 + 25 = 13

We can verify this by finding the lengths of each segment and seeing they are consistent

We have

IJ = x + 19 = -12 + 19 = 7

JK = 2x + 30 = 2(-12) + 30 = -24 + 30 = 6

IL = x + 34 = -12 + 34 = -23

We also have the fact that JK + KL = JL = 15

Substituting for JK we get

6 + KL = 15

KL = 15-6=9

Total segment length = 7+6 + 9 = 22

x + 34 = -12 + 34 = 22

So it is consistent

Step-by-step explanation:

[tex] \frac{1}{ {x}^{ \frac{ - 1}{3} } } \times \frac{1}{3x} \\ \frac{1}{ {3x}^{ \frac{2}{3} } } \\ \frac{1}{ 3\sqrt[3]{x {}^{2} } } [/tex]

8,615-4,229=4386 Answer took the quiz!

Answer:

4386

Step-by-step explanation:

8615-4229

= (8000 + 600 + 10 + 5) - (4000 + 200 + 20 + 9)

= (8000-4000) + (600-200) + (10-20) + (5-9)

= 4000 + 400 + (-10) + (-4)

= 4000 + 300 + (100-10) + (-4)

= 4300 + 80 + (10-4) = 4386

5x-2y = -2 is the equation of line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6.

Given that, (x₁, y₁) = (-2, -4) and parallel to 5x - 2y = 6

Let's calculate the slope of 5x - 2y = 6

Rewrite the equation in y = mx + c form

5x - 2y = 6

⇒ -2y = 6 - 5x

⇒ -y = 3 - 5/2x

⇒ y = -3 + 5/2x

⇒ y = 5/2x - 3

Thus, the slope (m) = 5/2

As the line is parallel to 5x - 2y = 6 it will have a slope of 5/2.

The point-slope formula states (y - y₁) = m(x - x₁)

Now, substituting the value of m = 5/2 and (x₁, y₁) = (-2, -4), we get

(y - y₁) = m(x - x₁)

⇒ (y - (-4)) = 5/2(x - (-2))

⇒ (y+4) = 5/2(x+2)

⇒ 2(y+4) = 5(x+2)

⇒ 2y+8 = 5x+10

⇒ 5x-2y+10-8 = 0

⇒ 5x-2y+2 = 0

⇒ 5x-2y = -2

Hence, the line that passes through the point (-2,-4) and is parallel to the line 5x-2y=6 is 5x-2y = -2.

Therefore, 5x-2y = -2 is the required answer.

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Answer:

5

Step-by-step explanation:

4(|−2|)−|−3|

=(4)(2)−|−3|

=8−|−3|

=8−3

=5

Answer:
T = 320

Step-by-step explanation:
64+ (960-144) ÷ 4 = 64+ (816) ÷ 4 = 64+ 204 = 320

Answer:

thanks bro bro

Step-by-step explanation:

anyways you gotta to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

to get all 4 coins to face heads but only turning over 3 coins at a time for one move takes 5 times

Answer:

chcicken

Step-by-step explanation:

Answer:

option (1), (4),(5)

Step-by-step explanation:

(1)

-7 + (-8) = - 7 - 8= - 15 < -8

(2)

- 42 ÷ (-6) = 7 > -8

(3)

- 4 + (-4) = - 4 - 4 = - 8 = - 8

(4)

6(-3)= - 18 < - 8

(5)

-5-7= -12 < - 8

(6)

-28 ÷ 7= -4 > - 8

Answer:

v = 4.4

Step-by-step explanation:

Let's solve your equation step-by-step.

8/11 = v/6

Step 1: Cross-multiply.

8/11 = v/6

(8)*(6)=v*(11)

48=11v

Step 2: Flip the equation.

11v=48

Step 3: Divide both sides by 11.

11v/11 = 48/11

v= 48/11

v = 4.4

Answer:

Undefined or y = 3

Step-by-step explanation:

I think it's Undefined. But if it asks for rise/run it is (0,3)

The number of mums created every hour by each friend are:

Given data

Friend A, Friend B, and Friend C working = 6 mums per hour

Friend B and Friend C working = 5 mums per hour

Friend A and Friend B are working = 4 mums per hour

A + B + C = 6         equation 1

B + C = 5               equation 2

A + B = 4                equation 3

from equation 2, make C the subject of the formula

B + C = 5

C = 5 - B

from equation 3, make A the subject of the formula

A + B = 4

A = 4 - B

substitute A and C into equation 1 to get

A + B + C = 6

4 - B + B + 5 - B = 6

4 + 5 - B = 6

9 - B = 6

-B = 6 - 9

-B = -3

B = 3

substituting B for A we have

A = 4 - 3

A = 1

substituting B for C we have

C = 5 - 3

C = 2

Therefore , Friend A working every hour creates 1 mum, Friend B working every hour creates 3 mums, and Friend C working every hour creates 2 mums,

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The equivalent expression for a*(b*c) is (a*b)*c.

when more than two numbers are added or multiplied, the result remains the same, irrespective of how they are grouped.

The given expression is a*(b*c).

The associative property is holds for multiplication.

According to the definition of associative property when more than two numbers are multiplied the result remains the same, irrespective of how they are grouped.

The equivalent expression for a*(b*c) is (a*b)*c.

For example a=2,b=3 and c=1 then

a*(b*c) =2*(3*1)=6

(a*b)*c=(2*3)*1=6

a*(b*c)=(a*b)*c

Therefore (a*b)*c is equivalent expression for a*(b*c).

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Answer: The prime number are 23,29,31

Step-by-step explanation:

Answer:1

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

f(t) = 80,00[tex](1+ 0.056)^{t}[/tex] is the exponential function that represents the model. The number of visits increase by 0.015% daily.

Here, we are given that a blogger found that the number of visits to her Web site increases 5.6% annually.

The exponential function is given as-

Final value = initial value [tex](1 + r)^{t}[/tex]

where r = rate of change

and t = time

here, r = 5.6%

r = 0.056

Further, the Web site had 80,000 visits this year ⇒ initial value = 80,000

Thus, we can get the following function-

f(t) = 80,00[tex](1+ 0.056)^{t}[/tex]

where f(t) represents the views after t years.

Now, since we are given that the views increase by 5.6% in 1 year

and 1 year = 365 days

⇒ daily rate = 5.6/365

= 0.015

Thus, the number of visits increase by 0.015% daily.

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Answer:

2745

jow to get this is you do this then dis

The coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

The given parameters are:

The position of the point is given as:

Location = 3/10

Express as ratio

m ; n = 3 : 10 - 3

This gives

m ; n = 3 : 7

The coordinates of the point are then calculated as:

Point = Location * (mx2 + nx1, my2 + ny1)

This gives

Point = 3/10 * (3 * 9 + 7 * -4, 3 * 7 + 7 *  -6)

Evaluate

Point = 3/10 * (-1, -21)

This gives

Point =  (-0.3, -6.3)

Hence, the coordinates of the point 3/10 of the way from a to b is (-0.3, -6.3)

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Complete question

find the coordinates of the point 3/10 of the way from a to b

the coordinates of b is (9,7)

the coordinates of a is (-4,-6)

Answer:

1. 11.7

2. 15

3. 20.5

4. 15.3

Step-by-step explanation:

Use the Pythagorean theorem for each of the problems.

Answer:

Step-by-step explanation: