Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 14 ft high?

Answer:

theres no picture so how will we know

Step-by-step explanation:

post the picture first

Answer:

a = 2

b = 3

c = -5

Step-by-step explanation:

We are given Algebraic expression:

5-3x = 2x²

We rewrite it in standard form

2x² + 3x - 5

Algebraic form :

ax² + bx + c

Hence, the values of a, b, c is given below:

a = 2

b = 3

c = -5

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

Step-by-step explanation:

Remark

The simplest way is to change the fractions to decimals.

Givens

8 3/10 = 8.3

1 2/5 =  1.4

2 1/3 = 2.3333333

4 3/5 = 4.6

Formula

Left over Ribbon = What she bought - bow - package amount + Joe

Solution

Left over ribbon = 8.3 - 2.3333 - 1.4 + 4.6

Left over ribbon = 9.1666

0.1666667 = 1/6

So if you need the fraction, it is 9 1/6

Answer:

Step-by-step explanation:

Given equation:

Complete square as follows:

Step-by-step explanation:

We need to solve the equation using completing the square method .

=> x² - 2x - 31 = 0

=> x² -2*1*x + 1² - 1² - 31 = 0

=> ( x -1)² - 32 = 0

=> (x+1)² = 32

=> x +1 = ±√32

=> x = ±4√2 - 1

The cost of the wallpaper per square foot is $4.

To find the cost per square foot of the wallpaper, we first need to calculate the total surface area of the box. A rectangular prism has six faces, and each face is a rectangle.

The front and back faces have dimensions 6 feet by 3 feet, so their combined area is 6 ft * 3 ft * 2 = 36 square feet.

The top and bottom faces have dimensions 5 feet by 3 feet, so their combined area is 5 ft * 3 ft * 2 = 30 square feet.

The left and right faces have dimensions 6 feet by 5 feet, so their combined area is 6 ft * 5 ft * 2 = 60 square feet.

The total surface area of the box is 36 + 30 + 60 = 126 square feet.

Since the cost of the wallpaper is $504, we divide the total cost by the total surface area to find the cost per square foot: $504 / 126 sq ft = $4 per square foot.

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Answer:   2.34

Step-by-step explanation:

After the decimal point it goes the tenth then the hundredth place. So that will be the second number after the decimal point. The question gives you a number and asks you to round to the hundredth place so you are going to first look what number is in the hundredth place and then look in the number after it. 3 is the number in the hundredth place and 6 is the number after. The rule is if the number is less than 5 the number stays as is and if the number is greater than 5 you round the number up. Since the number after the 3 is 6 you are going to round up. So the number rounded to the hundredth place is going to be 3.24.    

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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Answer:

There are 8 one-quarter cubes and 16 unit cubes so (8 times one-fourth) + 16 will give the volume.

Step-by-step explanation:

4 × 2 × 2¼ = 18

Step-by-step explanation:

2 (yellow) / 3.5 (blue)

that means, out of 2+3.5 = 5.5 units 2 are yellow, and 3.5 units are blue.

now in a 3 / 4.5 ratio we have 3+4.5 = 7.5 units, where 3 units are yellow and 4.5 units are blue.

let's bring both ratios to the same denominator (bottom part of the fraction).

if we multiply 3.5 by 2 we get 7. and multiplying 4.5 by 2 gives us 9.

and the smallest common multiple of 7 and 9 is 63.

so, let's bring both fraction to .../63.

3.5 × 2 × 9 = 63

so, the ratio is

2×2×9/63 = 36/63

and

4.5 × 2 × 7 = 63

so, that ratio is then

3 × 2 × 7 / 63 = 42/63

now we can see clearly that the first ratio

2/3.5 = 36/63 has fewer units of yellow in the mix than the second ratio

3/4.5 = 42/63.

so, the second mixture is more yellow.

Answer:

the actual sales be $31,132

Step-by-step explanation:

The computation of the actual sales is as follows:

Let us suppose the actual sales be x

Now the sales tax be 0.06x

Now the total sales would be

x + 0.06x = $33,000

1.06x = $33,000

x = $33,000 ÷ 1.06

= $31,132

hence, the actual sales be $31,132

The same is to be considered by applying the above equation

Answer:

actual sales be $31,132

Step-by-step explanation:

Answer:

orchestra seats: main seats: balcony seats: 160: 400: 240

Step-by-step explanation:

Let number of orchestra seats = x

Let number of main seats = y

Let number of balcony seats = z

As per given statement, total seats are 800

\(x +y+z=800 ..... (1)\)

Sales price of each orchestra seat = $40

Sales price of each main seat = $30

Sales price of each balcony seat = $20

If all the seats are sold, total revenue is $23200.

\(\Rightarrow 40x + 30y+20z=23200 ...... (2)\)

If all the main and balcony seats are​ sold, but only half the orchestra seats are​ sold, the gross revenue is $ 20 comma 000.

\(\Rightarrow 40\times \dfrac{x}{2} + 30y+20z=20000\\\Rightarrow 20x + 30y+20z=20000 ...... (3)\)

Here, we have 3 variables and 3 equations. Let us solve them.

Subtracting Equation (3) from equation (2):

\(\Rightarrow 20x = 3200\\\Rightarrow x = 160\)

Putting value of x in equations (1) and (2):

Equation (1)

\(\Rightarrow 160 +y+z=800\\\Rightarrow y+z=640 ...... (4)\)

Equation (2)

\(\Rightarrow 40\times 160 +30y+20z=23200\\\Rightarrow 30y+20z=16800\\\Rightarrow 3y +2z=1680 ...... (5)\)

Equation (5) - 2 \(\times\) Equation(4):

\(\Rightarrow y =400\)

Putting value of y in equation (4):

\(400 +z = 640\\\Rightarrow z =240\)

Hence, answer is:

orchestra seats: main seats: balcony seats: 160: 400: 240

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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The first option on the list of options is, in my opinion, the right response. Since there is no correlation between x and y, the correlation coefficient for the data would be 0. I believe this answers your query. Enjoy your day. Please feel free to inquire further.

What is the statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

The correlation coefficient for the given data is 0, which represents no correlation between x and y. This means that there is no linear relationship between the age of the participants and the number of questions they could answer correctly. In other words, knowing a participant's age does not give any information about the number of questions they could answer correctly, and vice versa.

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Answer:

see below

Step-by-step explanation:

y = -2x-5

Let x = -6

  y = -2*-6 -5 = 12 -5 = 7

Plot the point ( -6,7)

Let x = -5

  y = -2*-5 -5 = 10 -5 = 5

Plot the point ( -5,5)

Let x = -2

  y = -2*-2 -5 = 4 -5 = -1

Plot the point ( -2,-1)

Let x = -0

  y = -2*0 -5 = 0 -5 = -5

Plot the point ( 0,-5)

Let x = 1

  y = -2*1 -5 = -2 -5 = -7

Plot the point ( 1,-7)

Answer:

Step-by-step explanation:

-5,7

-5,5

-2,-1

0,-5

1,-7

Answer:

The ratio 19/25 is the same as 76/100, or 0.76.

Multiplying this by 100%, we get 76%, the percentage of questions answered correctly.

Subtracting 76% from 100% results in 24%, which is the percentage of questions not answered correctly.

Step-by-step explanation:

Answer:

Find the average rate of change of water in the basin. Select one: a. 234 gallons per minute b. 114 gallons per minute c. 34 gallons per minute

Answer:

x^2+3x+2/x^2-x-2

Step-by-step explanation:

That should simplify it

Answer:

Step-by-step explanation:

See steps of simplification below:

Answer: 44

Step-by-step explanation:

s-Triangle: (3 x 4) / 2 = 6

s-Rectangle: 3 x 10 = 30

s-Trapezoidal: (3 + 5) / 2 x 2 = 8

S: 6 + 30 + 8 = 44

I donno how to use familiar figures : )

The average value of the two year old car after deductions is 30525, which is considered to be higher than average.

What is Mileage deduction?

Mileage deductions are used to account for the wear and tear on a vehicle, which increases with the miles driven.

The calculation to get the average value is as follows:

Original value: 31175

Average value: 30850

Aluminum wheels: 300

Recovery system: 75

Mileage deduction: 700

Average value after deductions:

(30850 + 300 + 75 - 700) = 30525

The reason why the mileage deduction is 700 is because the advertised mileage of 47005 falls within the range of 46000 - 51000 miles, which is considered to be higher than average.

A higher mileage vehicle will typically have lower value than one with fewer miles, so the 700 deduction is used to account for the difference between this car and an average one with similar age and features.

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Answer:

the number is 788......

a=1 b=2

1+2=3

1x2=2

hope this answers your question

Answer:

4.5 hours

Step-by-step explanation:

fbdjdbercyTxxivdu

Answer:

Basically You are asking how many hours we need to reach 7:00, if we are at 2:30, so: we need 4hours, to reach 6:30, and and extra 30minutes to reach 7:00pm. The answer is 4hours and 30minutes.

Answer:

  a. {1, 2, 3, 4, 5, 6, 7}

  b. {1, 2, 3, 4, 5, 6, 8}

  c. {4, 5, 7}

  d. {1, 4, 5}

Step-by-step explanation:

The union of two sets is the list of elements in either set. The intersection of two sets is the list of elements in both sets. The complement of a set is the list of elements in the universal set that are not in the set being complemented. The complement of a set can be indicated with an apostrophe: A' is the complement of set A, for example.

B∪C = {2, 5, 6, 7} ∪ {3, 4, 6, 7} = {2, 3, 4, 5, 6, 7}

A∪(B∪C) = {1, 4, 5, 7} ∪ {2, 3, 4, 5, 6, 7} = {1, 2, 3, 4, 5, 6, 7}

B∩C = {2, 5, 6, 7} ∩ {3, 4, 6, 7} = {6, 7}

A ∩ (B∩C) = {1, 4, 5, 7} ∩ {6, 7} = {7}

(A∩(B∩C))' = {7}' = {1, 2, 3, 4, 5, 6, 8}

A∩Β = {1, 4, 5, 7} ∩ {2, 5, 6, 7} = {5, 7}

Α∩C = {1, 4, 5, 7} ∩ {3, 4, 6, 7} = {4, 7}

(A∩B)∪(A∩C) = {5, 7} ∪ {4, 7} = {4, 5, 7}

(A∩B')∪(A∩C') = A∩(B'∪C') = A∩(B∩C)'

(B∩C)' = {6, 7}' = {1, 2, 3, 4, 5, 8}

A∩(B∩C)' = {1, 4, 5, 7} ∩ {1, 2, 3, 4, 5, 8} = {1, 4, 5}

__

Additional comment

In part (d) we made use of De Morgan's law for sets:

  B'∪C' = (B∩C)'

We also made use of the distributive property for sets:

  A∩(B∪C) = (A∩B)∪(A∩C)

Answer:

there is no solution

Step-by-step explanation:

x + y = 6 → (1)

x + y = 4 → (2)

subtract (2) from (1) term by term

(x - x) + (y - y) = 6 - 4

0 + 0 = 2

0 = 2 ← false statement

this false statement indicates the equations have no solution

The simplified expression of (5x - 10) / (10x² + 10x - 20) is: (x - 2) / [2(x + 2)(x - 1)]

What is an algebraic expression?

An algebraic expression is a mathematical phrase that contains variables, constants, and mathematical operations.

To clarify the expression, I will assume that you meant:

(5x - 10) / (10x² + 10x - 20)

To simplify this expression, you can factor the denominator:

10x² + 10x - 20 = 10(x² + x - 2) = 10(x + 2)(x - 1)

So the expression becomes:

(5x - 10) / [10(x + 2)(x - 1)]

Now you can simplify the numerator by factoring out the common factor of 5:

5(x - 2) / [10(x + 2)(x - 1)]

And finally, you can simplify further by canceling the common factor of 5 in the numerator and denominator:

(x - 2) / [2(x + 2)(x - 1)]

Therefore, the simplified expression is:

(x - 2) / [2(x + 2)(x - 1)]

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Answer:

by questioning why you post this that are now answered