A rectangle prism has a length of 1 1/4 cm a width of 4 cm and a height of 3 1/4 cm what is the volume of this prism

Answer:

The standard deviation of the heights of the group of trees is 3 feet

Step-by-step explanation:

For a normal distribution, the z-score corresponding to a particular observed value is calculated as;

z-score = (observed value - mean) / (standard deviation)

The mean is given as 14.3

The z-score is 1.9

The observed value is 20 (the given height)

We can make the standard deviation to be the subject of the formula in the above equation;

standard deviation = (observed value - mean) / ( z-score)

We then substitute the given values into this equation;

standard deviation = [tex]\frac{20-14.3}{1.9}=3[/tex]

Answer:   [tex]32\pi[/tex] cubic units.

Step-by-step explanation:

You can use this formula for calculate the volume of a cone:

[tex]V_{cone}=\frac{1}{3}\pi r^2h[/tex]

Where "r" is the radius and "h" is the height.

You know that the diameter of the base of the cone measures 8 units, then, the radius can be found by dividing the diameter by 2:

[tex]r=\frac{8units}{2}\\\\r=4units[/tex]

Since you already know that height and  the radius, you can substitute them into the formula. Then, the volume of this cone is:

[tex]V_{cone}=\frac{1}{3}\pi (4units)^2(6units)[/tex]

[tex]V_{cone}=32\pi \ units^3[/tex]

Answer:

b. 32

Step-by-step explanation:

e2020 says so

let's recall that on the IV Quadrant the x/cosine is positive and the y/sine is negative, and of course the hypotenuse is just a radius unit and therefore never negative.

[tex]\bf sin(\theta )=\cfrac{\stackrel{opposite}{-7}}{\stackrel{hypotenuse}{15}}\impliedby \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases}[/tex]

[tex]\bf \pm\sqrt{15^2-(-7)^2}=a\implies \pm\sqrt{176}=a\implies \stackrel{\textit{IV Quadrant}}{+\sqrt{176}=a} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{\sqrt{176}}}{\stackrel{hypotenuse}{15}}~\hfill[/tex]

Answer: Less than

Step-by-step explanation:

2 3/4 yards equals 99 inches

the answer is Less than.

ANSWER

[tex]- \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

[tex] |v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]

[tex]v| = \sqrt{ {( - 14.5)}^{2} + {2.5}^{2} } [/tex]

[tex]v| = \sqrt{ 216.5} = \frac{ \sqrt{866} }{2} [/tex]

The unit vector in the direction of this vector is

[tex] = \frac{v}{ |v| } [/tex]

[tex] = - \frac{14.5}{ \frac{ \sqrt{866} }{2} } i + \frac{2.5}{ \frac{ \sqrt{866} }{2} } j[/tex]

[tex] = - \frac{29}{866} \sqrt{866} i + \frac{5}{866} \sqrt{866} j[/tex]

Answer:

The Phase Shift is how far the function is shifted horizontally from the usual position.

Step-by-step explanation:

Answer: the answer is C

The histogram and dot plot that represent the order of varying shirt sizes are illustrations of charts

The dataset on the dot plot can be represented using the following frequency table

Shirt size     Frequency

    8                     0  

   10                     1

   12                     3

   14                     3

   16                     5

   18                     4

   20                    2

   22                    1

   24                    1

   26                   0

Since the options are not given, the next step is to plot and upload the histogram using a graphing tool

See attachment for the histogram that represents the dot plot

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Answer:

  y = (1/2)|x -8| -3

Step-by-step explanation:

The first five points fall on a straight line with a slope of ...

  ∆y/∆x = -0.5/1 = -0.5

The last point is not on that line.

So, several options are available:

Answer:

the width is 9 23/30 feet ≈ 9.767 ft

Step-by-step explanation:

Let w represent the width of the train car. Then 6 times the width is 6w, and 8 ft less than that is (6w-8). We are told this amount is 50.6 feet, so we have ...

6w -8 = 50.6

6w = 58.6 . . . . . . . add 8; next divide by 6

58.6/6 = w = 586/60 = 293/30 = 9 23/30 . . . . feet

This is a repeating decimal: 9.766666...

The width of the train car is 9 23/30 ft, about 9.77 ft.

Answer:

14

Step-by-step explanation:

largest prime number which is a factor of 42=7

smallest prime number which is a factor of 28=2

7x2=14

Answer:

14

Step-by-step explanation:

largest prime number which is a factor of 42=7

smallest prime number which is a factor of 28=2

7x2=14

Step-by-step Answer:

If trapezium DBCE is one-fourth of the area of the triangle ABC, that means that the area of triange ADE is (1 - 1/4) = three-fourth of ABC.

Since DE is parallel to BC, we can prove that triangles ADE and ABC are similar.

Similar triangles have corresponding sides proportional, and area is proportional to the square of the linear proportions.

From this we can conclude that

(DE/BC)^2 = 3/4

DE/BC = sqrt(3/4) = sqrt(3)/2

DE = sqrt(3)/2 * 20 = 10 sqrt(3) = 17.320508 cm (to 6 decimal places).

On the subject of similar figures/volumes, if we know the ratio of linear dimensions (such as the side of a cube) as k, then the ratio of AREA of similar squares would be k^2.

Example: A square would have a side of 8 (area=8^2=64), and a (similar) square has a side of 10 (area = 10^2= 100).  The

ratio of areas = 64/100 = (8^2/10^2) = (8/10)^2

Here 8/10 is the ratio of linear dimensions = k, and the ratio of areas is k^2 = (8/10)^2 = 64/100.

The same works for cubes (or similar volumes) where the volumes would be proportional to k^3.

Answer:

The ratio is [tex]\frac{1}{492}[/tex]

Step-by-step explanation:

Remember that

1 ft=12 in

The Eiffel Tower is 984 feet

Convert to inches

984 ft=984*12=11,808 in

Find the ratio of the height of the model to the height of the actual Eiffel Tower

The height of the model is 24 in

The height of the actual Eiffel Tower is 11,808 in

the ratio is equal to

[tex]\frac{24}{11,808}=\frac{1}{492}[/tex]

That means----> The height of the actual Eiffel Tower is 492 times greater than the height of the model

To find the ratio of the height of the model to the actual Eiffel Tower, convert the model's height to feet (24 inches = 2 feet) and then divide by the tower's height (2 feet / 984 feet) to get the simplified ratio of 1:492.

To calculate the ratio of the height of the model Eiffel Tower to the actual Eiffel Tower, we need to ensure both measurements are in the same unit. Since the actual Eiffel Tower's height is given in feet and the model's height is in inches, we will convert one of these measurements so they can be directly compared.

First, we convert the model's height from inches to feet. We know that 1 foot equals 12 inches, so:

24 inches × (1 foot / 12 inches) = 2 feet.

Now we have the model's height in feet, and we can form the ratio:

Height of model / Height of actual Eiffel Tower = 2 feet / 984 feet.

By simplifying this fraction, we get:

1 / 492.

So, the ratio of the height of the model to the height of the actual Eiffel Tower is 1:492.

Answer:

f(a) is the remainder of f(x)/x_a

so hence the remainder of 4×3- 5x2+3x-1/x-2 is (4.(2)^2) - (5.(2)^2) + (3.2) - 1 = 17

Answer:  D) 17

Step-by-step explanation:

You can use long division or synthetic division.  I will use synthetic division because it is the simplest and quickest method:

x - 2 = 0  -->  x = 2

2  |  4     -5     3     -1

   |  ↓      8     6     18

      4      3     9     17    ← REMAINDER

1,0,-1,7,7.

The range always be the Y values

Answer:

1040.70 is the answer

Step-by-step explanation:

that is the total

Answer:

$80.00

Step-by-step explanation:

The deposit slip shows the value Vera received. If you look closely at the right side of the ticket has a one table, next to the table, has the denomination of each field of the table. The penultimate denomination is called "Less cash received" that represents the amount Vera wants to receive directly from that check. That is, vera received 80.00 dollars.

Answer:

20 3/4 is to 20.75

20 1/5 is to 20.2

20 7/8 is to 20.875

and 20 4/5 is to 20.8

The matching of each mixed number to its equivalent decimal number is given below -

The mixed number is represented as a b/c where a, b, c are three positive non zero integers .

Mathematically -

a b/c = {(a*c) + b}/ c

Thus, the matching of each mixed number to its equivalent decimal number is -

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Answer:

$277.91

Step-by-step explanation:

"The ​26-week average of the two highest salaried quarters of the year leading to her application" would be the average of $13,500 and $12,775, or

$13,500 + $12,775

---------------------------- = $13137.50

            2

Dividing this by 26 weeks (equivalent to 6 months), we get $505.29.

Nancy's weekly employment benefit would be 55% of that, or $277.91.

Answer: $555.82

Step-by-step explanation:

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Profit is the difference between revenue (17.12c +5.40(.5c)) and cost(14.56c+1.20(0.5c)). That difference is expressed by the function shown above.

Answer:

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Step-by-step explanation:

Let's build the f(c) function by steps.

There are c customers.

John has found that on average, each meal served costs the restaurant $14.56 and takes in $17.12.

So, the costs for the restaurant are negative, and what takes positive.

f(c) =17.12c -14.56c

Now the final part

John has also found that on average, each beverage served costs the restaurant $1.20 and takes in $5.40.

Half of these customers order a beverage, and this is why we multiply by 0.5.

So

f(c) =17.12c -14.56c + 5.40(.5c) - 1.20(.5c)

Answer:

B. f(-1)=6

C.  The domain of f(x) is the set {-2.-1,0,1,2,3,4,5,6}

Step-by-step explanation:

To find f(5) from the table means, the y-value that corresponds to x=5.

This value is 12.

This implies that:

f(5)=12

Also the y-value that corresponds to -1 is 6.

Hence f(-1)=6

The domain of f(x) are the set of all the x-values.

The domain is : {-2.-1,0,1,2,3,4,5,6}

The range for f(x) is the set of all the corresponding y-values.

From the table, the range is: {5,6,7,8,9,10,11,12,13}

Answer:

the answer is 0.00221184

Step-by-step explanation:

as we can see 3rd term is product of first two terms

4th term is product of third and second term

5th term is the product of fourth and third term

 the next term in the sequence which is the sixth term will be the product of fifth and fourth term

Answer:

The next term of geometric sequence is 0.025 which is the probability of dropped call.      

Step-by-step explanation:

We are given the following information in the question:

The probability of a customer experiencing a dropped call decreases formed the geometric sequence.

The geometric sequence is:

0.8, 0.4, 0.2, 0.1, 0.05

First term = a = 0.8

Common difference = r =[tex]\frac{a_{n}}{a_{n-1}} = \frac{0.4}{0.8} = \frac{1}{2}[/tex]

We have to find the next term of the geometric series to find the next probability.

Next term of sequence =

[tex]a_n = a_{n-1}\times r\\= 0.05\times \displaystyle\frac{1}{2}\\\\= 0.025[/tex]

Hence, the next term of geometric sequence is 0.025 which is the probability of dropped call.

Answer: 65 seats in row 20

Step-by-step explanation: 3 = 31, 6 = 37 the difference is 3 rows but 6 seats so its going up 2 every row therefor you need 14 rows after row 6 so 14 * 2 + 37 = 65 seats

By finding a linear equation, we will see that on the row 20 there are 65 seats.

Here we have a linear relationship, that can be written as:

y = a*x + b

Where a is the slope and b the y-intecept.

We know that if a line passes through two points (x₁, y₁) and (x₂, y₂), the slope is:

[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In this case, we have points of the form (row, seats), and the two points that we have are:

(3, 31) and (6, 37)

So the slope is:

[tex]a = \frac{37 - 31}{6 - 3} = 2[/tex]

So the equation is:

y = 2*x + b

To find the value of b, we replace one of the points in the equation. If we use the first one, we have x = 3 and y = 31, so:

31 = 2*3 + b

31 = 6 + b

31 - 6 = 25 = b

The equation is:

y = 2x + 25

The number of seats in row 20 is what we get if we replace x by 20, then:

y = 2*20 + 25 = 65

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Answer:

If it is 40 total then:

about 3 more hours

Exact answer:

2.545454... hours

If it is 40 more:

about 4 hours

Exact answer:

3.63636363... hours

Answer:

• 3 hours

• 11 hours

• 12 hours

Step-by-step explanation:

Check with substitution in the inequality: 12 + 11h > 40

Answer:

60 cm^2

Step-by-step explanation:

The formula for the area of a triangle is ...

A = (1/2)bh

where b is the length of the base, and h is the height. Your triangle shows a base length of 12 cm + 3 cm = 15 cm, and a height of 8 cm. Using these values in the formula, we have ...

A = (1/2)(15 cm)(8 cm) = 60 cm^2

The standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8 is y = 1/32 x², as it is the only option that correctly represents a parabola opening upward with the vertex at the origin and a focus 8 units away.

To find the standard form of the equation of the parabola with a focus at (0, 8) and a directrix at y = -8, we begin by noting that the vertex of the parabola will be midway between the focus and directrix. Since the focus is 8 units above the x-axis and the directrix is 8 units below the x-axis, the vertex is at the origin (0, 0).

The distance between the vertex and the focus (which is also the distance between the vertex and the directrix) is 8 units; this distance is the value 'p' in the parabola's standard equation.

The parabola opens upward because the focus is above the directrix. The standard form for an upward-opening parabola centered at the origin is y =  {1}/{4p}x². In our case, p = 8, so the equation becomes y =  {1}/{4(8)}x² which simplifies to y =  {1}/{32}x².

Based on the options available, the correct standard form of the equation of the parabola is A. y =  {1}/{32}x².

Answer:

The answer is D my friends. Good luck.

Step-by-step explanation:

The equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.

To find an equation of a line parallel to a given line, we need to find a line with the same slope.

First, we need to rewrite the original equation 2x + 4y = 6 in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.

By rearranging the equation, we get y = -0.5x + 1.5.

Since the new line is parallel to the original line, it will have the same slope.

Therefore, the equation of the line parallel to 2x + 4y = 6 and passing through the point (6, 4) is y = -0.5x + 7.

No, she should not use her standard deduction because it is less than the deduction she will get from itemizing OPTION B is correct answer.

What is Standard deduction ?

Standard deduction is that amount of someone's income, for which tax is not to be paid, thus reducing the tax bill amount. The amount of the standard deduction is based on one's filing status, age, disability, dependency etc.

Zeituni's standard deduction on her federal income tax return is $5700.

she paid $4670 in state taxes and $1180 in mortgage interest last year, totaling to = $4670+ $1180

                 = $5850

So, no, she should not use her standard deduction because it is less than the deduction she will get from itemizing.

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Zeituni should itemize her deductions, as the total of her state taxes and mortgage interest ($5850) is more than her standard deduction ($5700). So the correct answer is B.

To decide whether Zeituni should use her standard deduction or itemize her deductions, we should add up her state taxes and mortgage interest. The total of her state taxes ($4670) and mortgage interest ($1180) comes to $5850. Comparing this with her standard deduction of $5700, we can see that $5850 is more than $5700. Thus, the better option would be for Zeituni to itemize her deductions.

So the answer is B. No, because it's less than the deduction she would get from itemizing.

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felix got 51 questions correct

The volume of the conical perfume bottle is 77.38 cubic centimeters of perfume, answer D.

To calculate the volume of a conical perfume bottle, we use the formula for the volume of a cone, which is V = (1/3)
3.14r²h, where r is the radius and h is the height of the cone. Given the radius of 3.7 centimeters and a height of 5.4 centimeters, we calculate:

V = (1/3)
3.14 * (3.7 cm)² * 5.4 cm
= (1/3) * 3.14 * 13.69 cm2 * 5.4 cm
= (1/3) * 3.14 * 73.926 cm3
= 3.14 * 24.642 cm3
= 77.38 cubic centimeters

Therefore, the perfume bottle can hold approximately 77.38 cubic centimeters of perfume, which corresponds to answer choice D.

17 yards. The fence that enclose Sondra's backyard is a right triangle whose sides measuring 8 yards, 15 yards and 17 yards  respectively.

The key to solve this problem is using the Pythagorean Theorem that dictates; In every right triangle the square of the hypotenuse is equal to the sum of the squares of the legs and the equation hypotenuse²=leg1²+leg2².

For this problem we know the measuring of two side, which mean that we can apply Pythagorean Theorem equation as follow:

Let's say that one of the side is a = 8yards, and the other side is b = 15yards. So, we want to know how long the third side c long.

Applying the Pythagorean Theorem:

[tex]c^{2} =a^{2}+b^{2}  \\c=\sqrt{a^{2}+b^{2}}[/tex]

Substituting the values of the sides a and b:

[tex]c=\sqrt{(8yards)^{2}+(15yards)^{2}}\\c=\sqrt{64yards^{2}+225yards^{2}}\\c=\sqrt{289yards^{2}}\\c=17yards[/tex]

Answer:

17 yds

Step-by-step explanation:

Lacking further info about this situation, I will assume that 8 yards and 15 yards represent the two legs of this right triangle, and not the hypotenuse.  If that's the case, then the hypotenuse is found by applying the Pythagorean Theorem:

(8 yd)² + (15 yd)² = hyp², or

64 yd² + 225 yd² = 289 yd²

Taking the square root of this result yields 17 yds.

The third side will be 17 yds long.

Answer:

Expanded Notation Form:

300 + 70 + 2 + 0.3= 372.3

Expanded Factors Form:

3 x 100 + 7 x 10 + 2 x 1 + 3 x 0.1 = 372.3

Hope this helps!!