Mathematics High School

A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
a.193.8 cubic inches (in^3)
b.2325.6 cubic inches (in^3)
c.1.35 cubic inches (in^3)
d.16.15 cubic inches (in^3)

Answers

Answer 1
a; 193.8

hope this helps!

Related Questions

In a class of 10, there are 2 students who forgot their lunch.

If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?

Answers

Answer:2/10

Step-by-step explanation: 10 students, 2 of them forgot their lunch. So 2/10 of the students will be chosen by the teacher

Find the average value of f over region
d. f(x, y) = 4x sin(y), d is enclosed by the curves y = 0, y = x2, and x = 7.

Answers

Final answer:

The question involves finding the average value of function f(x, y) = 4x sin(y) over a particular region. This is done using a double integral to integrate the function over the region and divide by the area of that region. The area of the region is determined using the given boundaries.

Explanation:

The subject of this question is calculus, specifically dealing with a double integral to find the average value of a function over the specified region. The given function is f(x, y) = 4x sin(y), and the region d is enclosed by the curves y = 0, y = x^2, and x = 7.

To find the average value of function f over the region d, you should use the formula for the average value of a function of two variables. This is given by: Avg = (1/Area(D)) ∫∫_D f(x, y) dA

Before we can use this formula, we need to find the area of region D. This can be obtained as a simple integral from the given boundaries: Area(D) = ∫ from 0 to 7 dx ∫ from 0 to x^2 dy = ∫ from 0 to 7 x^2 dx = [x^3/3]_0^7 = 343/3

We can then proceed with the double integration by applying the appropriate limits. This is a more complex process that requires substitutions and careful calculation. After evaluating the average value, you should get a numerical solution.

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Final answer:

To find the average value of a function over a region, calculate the double integral of the function over that region and divide it by the area of the region.

Explanation:

To find the average value of a function over a region, we need to calculate the double integral of the function over that region and then divide it by the area of the region. In this case, the region d is enclosed by the curves y = 0, y = x-2, and x = 7. We can set up the integral as follows:

So, the average value of f over region d is 1.12.

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Write a decimal number that, then round to the nearest tenth, is 0.3.

Answers

0.34 could round down to o.3

What happens when you multiply a fraction by its reciprocal?

Answers

Multiplying by the reciprocal is the same as dividing by the original fraction
(1/2)/(3/4)=(1/2)*(4/3)=4/6=2/3

Absolute Value equations always have 2 answers.
True
False

Answers

The answer is, "False". 

Robert climbed 775 steps in 12 1/2minutes. how many steps did he average per minute?

Answers

1162 is the awnser i believe

Evaluate the function f(x)=−4x−3 f(x)=−4x−3 for x=−6x=−6.

Answers

what does x equal?? for the questions

A shop has a sale that offers 20% off all price. On the final day they reduce all the sale prices by 25%. Linz buys a radio on the final day. Work out the overall percentage reduction on he price of the radio.

Answers

hmmmm is not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.

say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.

then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.

so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?

(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
Final answer:

To calculate the overall percentage reduction on the price of the radio, we need to calculate the final price after both discounts. The first discount of 20% off reduces the price by 20/100 = 0.2. The second discount of 25% off reduces the price by 25/100 = 0.25. The overall percentage reduction is 40%.

Explanation:

To find the overall percentage reduction on the price of the radio, we need to calculate the final price after both discounts. The first discount of 20% off reduces the price by 20/100 = 0.2. So, the price after the first discount is 1 - 0.2 = 0.8 times the original price. The second discount of 25% off reduces the price by 25/100 = 0.25. So, the final price after both discounts is 0.8 * (1 - 0.25) = 0.8 * 0.75 = 0.6 times the original price.

To calculate the overall percentage reduction, we can subtract the final price from the original price, divide by the original price, and multiply by 100. The overall percentage reduction is ((1 - 0.6) / 1) * 100 = 40%.

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An air cargo plane can transport as many as 15 regular shipping containers. One supersize container takes up the space of 3 regular containers.

Answers

An air cargo plane can transport as many as 15 regular shipping containers. One super-size container takes up the space of 3 regular containers. Write an inequality to model the number of regular and super-size containers the plane can transport.

Let the number of regular containers the plane can transport be x and the number of super-size containers the plane can transport be y, then

Given that one super-size container takes up the space of 3 regular containers, i.e. y = 3x and that the capacity of the plane is 15 regular containers.

When the ship is not carrying any super-sized container, it can carry up to 15 regular containers and when the ship is not carrying any regular containers it can carry up to 5 super-sized containers.

Therefore, the inequality to model the number of regular and super-size containers the plane can transport is given by

x + 3y ≤ 15

Describe the end behavior of the function:

y = x3 + 3x2 - 2x + 4

a)left - rises, right - falls
b)left - rises, right - rises
c)left - falls, right - falls
d)left - falls, right - rises

Answers

The equation above is a cubic, since the highest degree present is a 3. The degree is odd and the function is positive, meaning the function travels from Quadrant 3 to Quadrant 1 (looking from left to right of the graph)
See the picture I added.
Therefore, the answer must be D.
Hope this helps

PLEASE HELP ASAP!! Will give brainliest!

Answers

1/2n + 3/4n = 1/2 ...multiply by common denominator 4

2n + 3n = 2

5n = 2

n = 2/5

So...      n = 2/5

I hope this helped! : ) 
Please rate and thank!

What’s the reciprocal of 7/2a

2a/7

-2a/7

7/2a

-7/2a

Answers

The reciprocal of a number (also called the multiplicative inverse) means 1/this number or (This number)^-1

So, to get the reciprocal of 7/2a, you need to divide 1 by this number as follows:
reciprocal = 1 / (7/2a) = 2a/7

The answer is : 2a/7

Each digit in the division example has been replaced with the same letter throughout (r stands for remainder) the digits used were 1, 2, 3, 4, 5, 7, and 9 find the numbers clue u is 5

Answers

Final answer:

This is a cryptarithm problem where every unique letter represents a unique digit. Given that 'u' equals 5, we would navigate the problem by dividing numbers out front and subtracting the exponents.

Explanation:

This question is about a form of a cryptarithm. Cryptarithms are mathematical puzzles where the digits are replaced by letters of the alphabet or other symbols. If the same letter appears more than once, it represents the same digit each time. Your question implies that each letter corresponds to a unique digit and that division is involved. Therefore, we need to figure out which numbers are represented by the remaining letters. You've already been given that 'u' represents 5. Since there isn't a complete problem provided, I can't offer a step by step guide on how to solve it. However, I can suggest to you to start the cryptarithm solution by dividing numbers out front and subtracting the exponents.

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Final answer:

The question involves substituting the given number for a letter in a division problem and then solving it. It's a step-by-step process of trial and error.

Explanation:

In this problem, you are asked to find the numbers that replace the same letter throughout a division problem. Given that 'u' is 5, you know that wherever 'u' appears in your division equation, you can replace it with 5. Solve the division problem accordingly. Do not forget, each distinct letter represents a distinct number. It is a process of trial and error until you come up with the right numbers that fit the equation and abides by the division rules.

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A rectangular swimming pool with a flat bottom is 20 feet by 12 feet. How long will it take to fill the swimming pool to 5 feet if water is being pumped into the pool at 30 cubic feet per minute?
A) 8 minutes
B) 40 minutes
C) 67 minutes
D) 120 minutes

Answers

Hi,

The answer to this question is going to be

20 feet * 12 feet * 5 feet
= 20 * 12 * 5 feet ^3
= 1200 feet^3

1200 feet^3 / (30 feet^3 / minute)
= (1200 / 30) minutes
= (120 / 3) minutes
= 40 minutes

Hoped I Helped

List an example of two events that are independent. ​(b) list an example of two events that are dependent. ​(a) list an example of two events that are independent. choose the correct answer below.
a. a father having hazel eyes and a daughter having hazel eyes
b. selecting a queen from a standard​ deck, not replacing​ it, and then selecting a queen from the deck
c. rolling a die twice
d. not putting money in a parking meter and getting a parking ticket ​(b) list an example of two events that are dependent. choose the correct answer below.
a. tossing a coin and getting a​ head, and then rolling a​ six-sided die and obtaining a 6
b. selecting a ball numbered 1 through 12 from a​ bin, replacing​ it, and then selecting a second numbered ball from the bin
c. rolling a die twice
d. drawing one card from a standard​ deck, not replacing​ it, and then selecting another card

Answers

When two events are dependent, this means that one event cannot occur without the other, or simply put the two events are connected to each other in one way or the other.


When two events are independent, this means that the two events can occur separately, with one event having no effect on the occurrence of the other.

Therefore the dependent and independent events are as follows:

 

Independent event:

 c. rolling a die twice

The outcome of the first die does not affect the outcome of the second die, hence independent.

 

Dependent event:

d. drawing one card from a standard​ deck, not replacing​ it, and then selecting another card

By the act of not replacing the drawn card, we are changing the probability of selecting another card, hence dependent.

Convert 7 4/7 to a mixed decimal and rounded to the nearest thousandth.

Answers

you got to divide four by seven. You get 0.571, as thousandths are three decimal places out. you add 7 to it and get 7.571

vertical angles are opposite angles with the same vertex
true or false

Answers

true 
Vertical angles are opposite angles with the same vertex 

The endpoints of a diameter of a circle a(-1,1) and b(3,3). what is the length of the radius

Answers

If we determine the distance from one point to  the second point, we get the length of the diameter. This is calculated through the equation,

  D= sqrt ((x2 – x1)^2 + (y2 – y1)^2)

Substituting the known values,

  D = sqrt ((-1 – 3)^2 + (1 – 3)^2)

  D = 4.47

The length of the radius is half that of the diameter. Hence, the radius is,

    R = 4.47 /2 = 2.236

Answer: r = 2.24

How do you verify that a hexagon formed by A=(0,0), B=(2,1), C=(3,3), D=(2,5), E=(0,4) and F=(-1,2) is equiangular? (I already know that it is equilateral)

Answers

The solution is attached. This is the only way I could verify if it is equiangular.
Final answer:

To verify that the hexagon is equiangular, calculate the slopes and angles of all sides using the coordinates of the vertices.

Explanation:

To verify that a hexagon is equiangular, we need to show that all interior angles of the hexagon are congruent. We can calculate the angles using the coordinates of the vertices A, B, C, D, E, and F.

Calculate the slope of each side of the hexagon. For example, for side AB with points A(0,0) and B(2,1), the slope is (1-0)/(2-0) = 1/2.Use the slope to find the angle using the formula arctan(slope). For side AB, the angle is arctan(1/2) = 26.57 degrees.Repeat steps 1 and 2 for all sides of the hexagon.If all six angles are equal, then the hexagon is equiangular.

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A baker wants to put 3 3/4 pounds of apples in each pie sge makes. She purchased 52 1/2 pounds of apples. How many pies can she make?

Answers

52.5 / 3.75 = 14

She can make 14 pies.

divide 52 1/2 pounds by 3 3/4 pounds

52 1/2 / 3 3/4 = 14

 she can make 14 pies


Reuben drove 576 miles in 8 hours.
At the same rate, how long would it take him to drive 936 miles?

Answers

13 hours should be your answer. divide 576 by 8. divide 936 by your answer

Reuben's driving rate is 72 miles per hour. At this same rate, it would take him 13 hours to drive 936 miles.

To determine how long it would take Reuben to drive 936 miles at the same rate, we first need to find his driving rate. Reuben drove 576 miles in 8 hours. To find his rate, we divide the distance by the time:

Rate = Distance / Time

Rate = 576 miles / 8 hours = 72 miles/hour

Next, we use this rate to find out how long it will take him to drive 936 miles:

Time = Distance / Rate

Time = 936 miles / 72 miles/hour = 13 hours

Thus, it would take Reuben 13 hours to drive 936 miles at the same rate.

If the length of the rectangle is twice the width and the perimeter of the rectangle is 30 cm find its area

Answers

Lets let width=x meters. 
Length is twice the width, twice meaning two times and we know that the width is x so length = 2x. 
The perimeter is the sum of all the sides or width + width + length + length which is equal to x + x + 2x + 2x by substituting x for width and 2x for length. We know that x is really 1x since 1 times anything is that anything. 
So the perimeter can be written as 1x + 1x + 2x + 2x which we are told is equally 42 meters. We reduce the equation by collecting all terms that have the same variables so we get (1 + 1 + 2 + 2 )x = 42. Adding the collected terms together we get 6x = 42. Now we solve for x by dividing both sides of the equation by six. Whatever we do to one side we have to do to the other so the equation remains balanced. So 6x divide by 6 is 1x or we can just say x, and 42 is divided 6 giving us 7. So x = 7. Going back to our original stated facts width = x = 7 and length = twice the width or 2x = 2 (7) =14. So 
width = 7 meters 
legth = 14 meters 

We can double check this since we know the formular for the perimeter = width + width + length + length = 7 + 7 + 14 + 14 = 42.

How to solve the second equation

Answers

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lccclll} y = &{{ -0.02}}x^2&{{ +1}}x&{{ +6}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{1^2}{2(-0.02)}~~,~~6-\cfrac{1^2}{4(-0.02)} \right) \\\\\\ (\stackrel{\textit{how far ahead it went}}{25}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})[/tex]

[tex]\bf \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lccclll} y = &{{ -0.01}}x^2&{{ +0.7}}x&{{ +6}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left( -\cfrac{0.7^2}{2(-0.01)}~~,~~6-\cfrac{0.7^2}{4(-0.01)} \right) \\\\\\ (\stackrel{\textit{how far ahead it went}}{24\frac{1}{2}}~,~\stackrel{\textit{how high it went}}{18\frac{1}{2}})[/tex]

A jet travels 510 miles in 2 hours. At this rate, how far could the jet fly in 15 hours? What is the rate of the speed of the jet?

Answers

First, find how much distance is covered in 1 hour

510/2 = 255. 

Multiply 1 hour distance covered by 15 

255*15=3825 miles 

Hope I helped :) 

A city has 7204 recycle bins. The city gives half of the recycle bins to it's citizens. The rest of the recycle bins are divided into 23 equal groups for city parks. How many recycle bins are left over?

Answers

The number of recycle bins that the city gives to citizens:
7204 : 2= 3602
The number of recycle bins is left:
7204 - 3602= 3602
The largest number of bins that can be given in each group:
3602 : 23 = 156 (residual: 14)
=> There are 14 bins left over.

Alexander deposited money into his retirement account that is compounded annually at an interest rate of 7%.
Alexander thought the equivalent quarterly interest rate would be 2%. Is Alexander correct? If he is, explain
why. If he is not correct, state what the equivalent quarterly interest rate is and show how you got your
answer. i need to show my work and everything

Answers

The reason he is NOT correct is because a quarterly rate refers to 1/4 of a year. 7/4 does mot equal 2. it only equals 1.75, so his quarterly interest would be 1.75%.

Simplify. y^-3 pls help me i need this very bad

Answers

my understanding is that when the power is a negative number, move it to the denominator and change it to positive. 
In this case, the base is y, the power is -3
y^(-3)=1/(y^3)

round 999.999 to the nearest tenth

Answers

999.9

to the left of the point you start with tenths then hundredths and so on
Answer: 1000
Reasoning:
For the number 999.999, the 0.9 is the tenth's digit.
Since the next number is 5 or greater, we round the 0.9 up. Now 0.9 rounded up is 1, so that takes away the decimals and adds one to the ones place value.
Since we are adding 1 to 9, it becomes 10, meaning the following 9 becomes a ten as well.
All said and done, it becomes 1000 from the rounding.

Given that f(a+b)= f(a) + f(b) and f(x) is always positive, what os the value of f(0)?

Answers

This is a strange question, and f(x) may not even exist. Why do I say that? Well..

[1] We know that f(a+b) = f(a) + f(b). Therefore, f(0+0) = f(0) + f(0). In other words, f(0) = f(0) + f(0). Subtracting, we see, f(0) - f(0) = f(0) or 0 = f(0).

[2] So, what's the problem? We found the answer, f(0) = 0, right? Maybe, but the second rule says that f(x) is always positive. However, f(0) = 0 is not positive!

Since there is a contradiction, we must either conclude that the single value f(0) does not exist, or that the entire function f(x) does not exist.

To fix this, we could instead say that "f(x) is always nonnegative" and then we would be safe.

To take a taxi , it cost $3.00 plus an additional $2.00 mile traveled. you spent exactly $20 on a taxi, which includes the $1tip you left. how many miles did you travel?

Answers

Let's break it down. 
You spent $20. Plus the $1 tip. 
20 - 1 = 19 
$19 is how much you spent without the tip
The cost for the taxi ride itself is $3
19 - 3 = 16
$16 is how much you spent without the ride cost + tip
You spent $2 for every mile traveled.
16/2=8 

You traveled 8 miles




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