how many times larger is .7 than .700

The height of the tubes is 11.68 inch  

The formula for the surface area of a cylinder is:

Where

Here we have

The surface area of the tube is 172 in² and the radius is 2 inches.  

Using the formula,

Surface area of Tube  = 2π (2) (2+ h)

= 4π(2 + h)

From the given data,

The surface area of the tube = 172  

=> 4π(2 + h) = 172

=> π(2 + h) = 43    

=> 44/7 + 22h/7 = 43

=> 44 + 22h = 301

=> 22h = 257

=> h = 11.68 inch  

Therefore,

The height of the tubes is 11.68 inch  

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Answer:

D

Step-by-step explanation:

3/40 * 2.5/2.5 = 7.5/100 = 0.075

Answer:

1. 6 cookies  2. 5/12 of the pan is left

Step-by-step explanation:

42/2=21

21(2/3)= 14

14-8=6

6 cookies were left

1/4+1/3= 3/12+4/12=7/12

5/12 of the pan is left

Answer:

1/2x42 = 21

42-21= 21x1/3= 7

21-7= 14

14-8= 6

santa got 6 cookies

Write out the equation:

4x + 5 = 21

Subtract 5 from both sides:

4x = 16

Divide both sides by 4:

X = 4

The number is 4

The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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This means that she made a 20% return on the money she invested in the property. For every dollar she invested, she earned 20 cents in profit.

To calculate Jennifer Aniston's return on investment (ROI), we can use the formula:

ROI = (Net Profit / Initial Investment) * 100

First, let's calculate the net profit. The net profit is the selling price minus the initial investment:

Net Profit = Selling Price - Initial Investment

Net Profit = $2,200,000 - $2,000,000

Net Profit = $200,000

Next, we calculate the ROI:

ROI = (Net Profit / Initial Investment) * 100

ROI = ($200,000 / $1,000,000) * 100

ROI = 0.2 * 100

ROI = 20%

Jennifer Aniston's return on investment for this property is 20%.

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Answer:

Area of the top = 24 square inch

Step-by-step explanation:

Volume of the given prism = Area of the base or top of the prism × Height of the prism

By substituting the values in the formula,

312 = Area of the top × 13

Area of the top = \(\frac{312}{13}\)

Area of the top = 24 square inch

Answer:

She needs $6,949.65 in the account today.

Step-by-step explanation:

The compound interest formula is given by:

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.

In this question:

She needs $9,000 in 3 years, so \(t = 3, A(t) = A(3) = 9000\)

9% annual interest, so \(r = 0.09\)

1 compounding, so \(n = 1\)

How much money needs to be in the account today so she will have enough to pay for the repairs

We need to find P.

\(A(t) = P(1 + \frac{r}{n})^{nt}\)

\(9000 = P(1 + \frac{0.09}{1})^{1*3}\)

\(P(1.09)^{3} = 9000\)

\(P = \frac{9000}{(1.09)^{3}}\)

\(P = 6949.65\)

She needs $6,949.65 in the account today.

Answer:

The Alpha Level

Step-by-step explanation:

The critical value is obtained by applying the alpha value to an area. For example if we choose the alpha level of 0.05 the critical value would be 1.96 for a two tailed test. But if the alpha is 0.1 the critical value would be 1.645 and similarly the critical value would be 2.58 for 0.01 alpha level.

The critcal value depends on the alpha level and is set accordingly depending on one tailed or tailed test. It does not involve the use of The Obtained Statistic  or The Population Mean.

Answer:

Hope you understand, and never stop striving to learn!

Step-by-step explanation:

The sample mean is both values added together then divided by 2.

$46.63

The margin of error is the low value divided by the high value * 100% =76.8% (then you have to minus this from 100% so the margin of error is 23.2%)

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

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answer:

-8x-22

step by step explanation:

none

Answer:

-8x - 22

Step-by-step explanation:

\(( - 8x - 6) - {4}^{2} \)

\( - 8x - 6 - {4}^{2} \)

\( {4}^{2} = 4 \times 4 = 16\)

\( - 8x - 6 - 16\)

\( - 6 - 16 = - (6 + 16) = - 22\)

\( = - 8x - 22\)

You will need to deposit $146.98 each month to get $100000 after 30 years.

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.

Given that you want to have $100,000 in your account when you retire in 30 years. Your retirement account earns 3% interest.

Calculate the principal amount first =

P = A - SI

P = 100000 - ( P x R x T ) / 100

P = 10000 - ( P  x 3 x 30 ) / 100

P = 10000 - ( 9P / 10 )

10 P = 1000000 - 9P

19P = 1000000

P = 1000000 / 19

P = $52631.57

Per month deposit = 52631.57 / ( 30 x 12 )

Per month deposit = $146.198

Therefore, You will need to deposit $146.98 each month to get $100000 after 30 years.

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Answer:

(A)

Step-by-step explanation:

The survey follows of women's height a normal distribution.

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

The new height requirements would be 57.7 to 68.6 inches

The given parameters are:

\mathbf{\mu = 63.5}μ=63.5 --- mean

\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation

(a) Percentage of women between 58 and 80 inches

This means that: x = 58 and x = 80

When x = 58, the z-score is:

\mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

This gives

\mathbf{z_1= \frac{58 - 63.5}{2.5}}z

1

=

2.5

58−63.5

\mathbf{z_1= \frac{-5.5}{2.5}}z

1

=

2.5

−5.5

\mathbf{z_1= -2.2}z

1

=−2.2

When x = 80, the z-score is:

\mathbf{z_2= \frac{80 - 63.5}{2.5}}z

2

=

2.5

80−63.5

\mathbf{z_2= \frac{16.5}{2.5}}z

2

=

2.5

16.5

\mathbf{z_2= 6.6}z

2

=6.6

So, the percentage of women is:

\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z

2

)−P(z<z

1

)

Substitute known values

\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)

Using the p-value table, we have:

\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034

\mathbf{p = 0.9860948}p=0.9860948

Express as percentage

\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%

\mathbf{p = 98.60948\%}p=98.60948%

Approximate

\mathbf{p = 98.61\%}p=98.61%

This means that:

The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.

So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.

(b) Change of requirement

Shortest = 1%

Tallest = 2%

If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).

So, we have:

Shortest = 1% to 98%

This means that:

The p values are: 1% to 98%

Using the z-score table

When p = 1%, z = -2.32635

When p = 98%, z = 2.05375

Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

Substitute \mathbf{z = -2.32635}z=−2.32635

\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=

2.5

x−63.5

Multiply through by 2.5

\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5

Make x the subject

\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5

\mathbf{x = 57.684125}x=57.684125

Approximate

\mathbf{x = 57.7}x=57.7

Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=

σ

x−μ

\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=

2.5

x−63.5

Multiply through by 2.5

\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5

Make x the subject

\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5

\mathbf{x= 68.634375}x=68.634375

Approximate

\mathbf{x= 68.6}x=68.6

Hence, the new height requirements would be 57.7 to 68.6 inches

Answer:

Check out the image below!

Step-by-step explanation:

The equation of the possible way to begin solving for x is 2/5x - 7/20x = 3/4 - 1/2

From the question, we have the following parameters that can be used in our computation:

-3/4 + 2/5x = 7/20x -1/2

The first step is to collect the like terms

So, we have

2/5x - 7/20x = 3/4 - 1/2

This represents an equation of the possible way to begin solving for x

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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

If 3/8 of Abby's candy was chocolate, then 3/8 pounds of chocolate candy Abby bought.

What is a ratio?

A ratio in mathematics shows how many times one number contains another. For example, if a bowl of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon-to-orange ratio is 6:8, and the orange-to-total fruit ratio is 8:14.

Abby went to the candy store and bought 3/4 of a pound of candy.

So in total, he bought 3/4 of a pound of candy out of which 3/8 candy was chocolate.

Let the number of pounds of chocolate candy Abby bought would have bought be 'x',

So we can prepare the equation as,

                       \(x=\frac{3}{4}-\frac{3}{8}\\ x=\frac{24-12}{4*8}\\ x=\frac{12}{4*8}\\x =\frac{3}{8}\)

Hence, If 3/8 of Abby's candy was chocolate, then 3/8 pounds of chocolate candy Abby bought.

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Answer:

21

Step-by-step explanation:

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

Equations are statements in mathematics containing the equals (=) sign flanked on either side by two algebraic expressions. The relationship between the expressions printed on the left and right sides is shown to be equal in this way. In all mathematical equations, LHS = RHS  is used. You can solve equations to find the value of an unknown variable that stands in for an unknown quantity. If a sentence lacks a "equal to" sign, it is not considered an equation. It will be considered to be a phrase.

Here,

Given:

we have to solve the system of equations given. .Each equation is added together to remove the variable Y.

2x + y = 4  

+

3x - y = 6

________

=> 5x =10

Therefore the result of adding the system of equations  2x + y = 4  ,

6=3x-y is 5x =10

The value of x :

x =10 / 5 = 2

⇒ x=2

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A line which has the same slope as the line passing through the given points is: C. y = 2x + 8.

Given the following data:

Mathematically, the slope of any straight line can be calculated by using this formula;

\(Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Substituting the given points into the formula, we have;

\(Slope = \frac{5\;-\;(-1)}{-1\;-\;(-4)}\\\\Slope = \frac{6}{3}\)

Slope = 2.

Therefore, y = 2x + 8 is a line which has the same slope as the line passing through the given points.

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Complete Question:

Which line has the same slope as the line passing through (-4, -1) and (-1, 5)?

A. y = 3

B. 9x - 3y = 5

C. y = 2x + 8

D. the line passing through (1, 4) and (1, 7)

I have seen a parabola in real life while throwing a ball.

What exactly is a parabola?

A parabola is a symmetrical, U-shaped curve that is formed by intersecting a cone with a plane that is parallel to its side. Alternatively, it can be defined as the set of all points that are equidistant from a fixed point (known as the focus) and a fixed straight line (known as the directrix).

Now,

One example of a parabolic arc in real life is the trajectory of a thrown ball or a projectile. When a ball is thrown, it follows a parabolic path due to the force of gravity pulling it downwards while it moves forward. The height of the ball over time can be modeled by a quadratic equation, with the highest point of the arc representing the vertex of the parabola.

The parabolic arc of a thrown ball has several unique features. The vertex represents the highest point of the arc, where the ball reaches its maximum height before falling back down to the ground. The axis of symmetry of the parabola runs through the vertex, and the parabola is symmetric on either side of this axis. The shape of the parabola is determined by the initial velocity and angle of the ball, as well as the force of gravity acting on it.

Another example of a parabolic arc in real life is the shape of the cables on a suspension bridge. The cables are hung in a parabolic arc, with the lowest point in the center of the span and the height increasing towards the ends of the bridge. This parabolic shape allows the cables to distribute the weight of the bridge evenly and support its weight without bending or breaking. The cables are symmetric on either side of the center of the span, and the parabola is determined by the length and weight of the bridge, as well as the tension in the cables.

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The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

Option D is the correct answer.

We have,

We need to isolate the absolute value |x + 2| on one side of the inequality.

We subtract 7 from both sides.

|x + 2| > 3

Next, we can split this inequality into two separate inequalities, one for when the expression inside the absolute value is positive, and one for when it is negative:

x + 2 > 3

or

- (x + 2) > 3

Solving for x in the first inequality.

x > 1

Solving for x in the second inequality.

-x - 2 > 3

Adding 2 to both sides and multiplying by -1.

x < -5

So the solution set for the inequality |x + 2| + 7 > 10 is the set of all x-values that satisfy either x > 1 or x < -5.

Using interval notation.

(-∞, -5) U (1, ∞)

Thus,

The solution set includes all real numbers less than -5, and all real numbers greater than 1, but does not include -5 or 1 themselves.

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Answer:

2x + 3 = 15

x = 6

2(6) + 3 = 15

Step-by-step explanation:

This is the answer because:

1) 2 x 6 = 12, 12 + 3 = 15

2) 2 + 6 + 3 = 11

Therefore, the answer is 2(6) + 3 = 15

Hope this helps!

Answer:

x=6

Step-by-step explanation:

2x+3=15

15-3=12

12/2=6

x=6

Answer: 56

Step-by-step explanation:

6,000-5,944=

because 6,000 is how much she paid, but she only owed 5,944 so the the difference is what her refund is.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The equivalent expressions to \(24^{-7}\) are given as follows:

C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)

F. \((24^3 \times 24^4)^{-1}\)

Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.

The exponent in the denominator can be moved to the numerator with the changed signal, hence:

\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)

Applying the power of power rule, we multiply the powers, hence:

\((24^7)^{-1} = 24^{-7}\)

When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:

\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)

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Answer:

jujjjjjjjjjjjjjjjjjjjjjjj

Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.