The volume of a cube is increasing at a rate of 56 in∧3/sec. At what rate is the length of each edge of the cube changing when the edges are 6 in. long? (Recall that for a cube,
V = x∧3.)

Answer:

C. 7°F

Step-by-step explanation:

Therefore , the solution of the given problem of probability comes out to be a)1/78 ,b)65/624 ,c)1/4 ,d)0 and e)12/13.

The basic goal of any considerations technique is to assess the probability that a statement is accurate or that a specific incident will occur. Chance can be represented by any number range between 0 and 1, where 0 normally indicates a percentage but 1 typically indicates the level of certainty. An illustration of probability displays how probable it is that a specific event will take place.

Here,

a.

P(Bert gets a Jack and Ernie rolls a five) = P(Bert gets a Jack) * P(Ernie rolls a five)

= (4/52) * (1/12)

= 1/78

b.

P(Bert gets a heart and Ernie rolls a number less than six) = P(Bert gets a heart) * P(Ernie rolls a number less than six)

= (13/52) * (5/12)

= 65/624

c.

P(Bert gets a face card and Ernie rolls an even number) = P(Bert gets a face card) * P(Ernie rolls an even number)

= (12/52) * (6/12)

= 1/4

d.

P(Bert gets a red card and Ernie rolls a fifteen) = 0

e.

Ernie rolls a number that is not twelve, and Bert draws a card that is not a Jack:

A regular 52-card deck contains 48 cards that are not Jacks,

so the likelihood that Bert will draw one of those cards is 48/52, or 12/13.

On a 12-sided dice with 11 possible outcomes,

Ernie rolls a non-12th-number (1, 2, 3, etc.).

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Step-by-step explanation:

The 3.5% saltwater means that for every 100 gallons of saltwater, there are 3.5 gallons of salt and 96.5 gallons of purified water. Therefore, to find the number of gallons of salt mix that Julian should add to 30 gallons of purified water, we can set up the following proportion:

3.5 gallons of salt / 100 gallons of saltwater = x gallons of salt / 30 gallons of purified water

Simplifying this proportion, we get:

x = (3.5 gallons / 100 gallons) * 30 gallons / 96.5 gallons

x = 0.01078 gallons of salt mix

To find the number of pints of aquarium salt mix that Julian should use, we can set up another proportion:

1 gallon of salt mix / 8 pints of salt mix = 0.01078 gallons of salt mix / y pints of salt mix

Simplifying this proportion, we get:

y = (0.01078 gallons of salt mix / 1 gallon of salt mix) * (8 pints of salt mix / 1 gallon of salt mix)

y = 0.0862 pints of aquarium salt mix

Rounding to the nearest tenth, Julian should use approximately 0.1 pints of aquarium salt mix for 30 gallons of purified water.

Shiv S. Goswami

Water flows at a rate of 6500 cubic inches per minute into a cylindrical tank. The tank has a diameter of 120 inches and a height of 72 inches. What is the height, in inches, of the water in the tank after 5 minutes? Round your answer to the nearest tenth.

The volume of the cylindrical tank can be calculated using the formula:

V = πr^2h

where r is the radius (half the diameter) of the tank, and h is the height of the tank.

The radius of the tank is 120/2 = 60 inches, and the height is 72 inches. Therefore, the volume of the tank is:

V = π(60)^2(72) ≈ 9,678,696.12 cubic inches

Water flows into the tank at a rate of 6500 cubic inches per minute. Therefore, after t minutes, the volume of water in the tank will be:

Vw = 6500t cubic inches

The height of the water in the tank after t minutes can be calculated by rearranging the formula for the volume of a cylinder:

V = πr^2h

to solve for h:

h = V / (πr^2)

Substituting the values we know, we get:

h = (V + Vw) / (πr^2)

After 5 minutes, the volume of water in the tank will be:

Vw = 6500 * 5 = 32,500 cubic inches

So the total volume of water in the tank after 5 minutes will be:

V + Vw = 9,678,696.12 + 32,500 = 9,711,196.12 cubic inches

Substituting these values into the formula for the height of the water, we get:

h = (9,711,196.12) / (π(60)^2) ≈ 82.2 inches

Therefore, the height of the water in the tank after 5 minutes is approximately 82.2 inches (rounded to the nearest tenth).

The coordinates of each points are:

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

We have,

The coordinates of each point are in an ordered form.

i.e

(x, y)

x is the x-axis value.

y is the y-axis value.

Thus,

A = (-0.5, -5)

B = (0.8, -1.8)

C = (-2.6, -2.2)

D = (-1.5, -8.9)

E = (2.5, -6.5)

F = (-1.5, 3.1)

G = (-2.4, 4.1)

H = (1.5, 3)

I = (2.7, 1.5)

J = (-1.5, 0)

K = (-6.5, 0)

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Answer:

591.5 yards because 27.3 multiplied by 65= 1774.5. there are 3 feet in a yard so 1774.5/3= 591.5 yds

The volume of the figure, by splitting it into two cuboids comes to be 3300 ft³.

The volume of a cuboid is the product of its three dimensions i.e. length, breadth, and height.

Let us split the given figure into two cuboids

So, the volume of the figure will be the sum of the volume of both the cuboids.

So, the volume of the cuboid with dimensions 20 ft x 25 ft x 5ft

= 20 x 25 x 5

=2500 ft³.

The volume of the cuboid with dimensions  4 ft x 25ft x 8ft

=4 x 25x 8

=800 ft³.

So, the volume of the figure = 2500 + 800 =3300 ft³.

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Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

Answer:-4 and 0.573

Step-by-step explanation:

Answer:

S = 2π(3^2) + 2π(3)(8.2) = 67.2π = 211 cm^3

Answer:

17, 20, 23, 26, 29, 32,

Step-by-step explanation:

Answer:

17, 20, 23, 26, 29, 32, 35....

Step-by-step explanation:

cause that's how math was made

"don't have a good day, have a great day"

-Guy

Answer:

19x-19+23y

Step-by-step explanation:

add the like terms

Step-by-step explanation:

The circumference of a circle is given by :

C=2πr, r is the radius of the circle

Also, 2r = D, diameter of the circle

⇒ C = πD

If the diameter of a circle is multiplied by 10, it means,

C = π(10)

⇒ C = 10π

Hence, if the diameter of a circle is multiplied by 10, then its circumference becomes 10π.

A mathematics topic that van be looked into is how linear algebra, graph theory and optimization can be used on the airline industry.

In this case, to solve the scheduling issues faced by airlines such as planning flights, assigning planes and crews to routes - mathematical techniques can be employed.

By leveraging Linear Algebra, operators can simulate the flow of aircrafts and passengers while Graph Theory can help model flight schedules and aircraft routes.

Simultaneously using Optimization techniques in the problem-solving process can work to streamline various operations resulting in reduced costs and improved efficiency which can increase profit margins.

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Answer:

see the attachment photo!

i hope this can help you! :)

Answer:

d

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

it would have to be 8.55 to be rounded up not 8.549... there is a rule of if it is 4 and lower go down and if 5 and higher go up

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer:

what do u mean

Step-by-step explanation:

Based on the information in the image, we can establish that the rule shown in the graph is: Each time you move down one box and to the right one box, the sum increases by 2.

To identify the pattern shown in the image, we must carefully observe the numbers in each box. Once we have identified the numbers in the different boxes. We must establish the relationship between the numbers.

According to this procedure we can establish that the pattern of this image is Each time you move down one box and to the right one box, the sum increases by 2.

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Answer and Step-by-step explanation:

To find out how many more yards of red fabric Reuben used, we need to subtract the amount of yellow fabric from the amount of red fabric. Since the two fractions have different denominators, we need to find a common denominator before subtracting them. The least common multiple of 8 and 4 is 8, so we can rewrite both fractions with a denominator of 8:

7/8 - 1/4 = 7/8 - (1/4) * (2/2) = 7/8 - 2/8 = (7 - 2)/8 = 5/8

So, Reuben used 5/8 yards more red fabric than yellow fabric.

Answer:

yes

no

no

yes

no

Step-by-step explanation:

7/20 + 3/5 = 19/20 (yes/no) | it goes through

3/5 + 3/10 = 3/15 (yes/no) | doesn't go through

1/2 + 2/3 = 3/5 (yes/no) | doesn't go through

1/10 + 1/2 = 3/5 (yes/no) | it goes through

3/5 + 1/20 = 9/20 (yes/no) | doesn't go through

Answer:

Step-by-step explanation:

If a given triangle is a right triangle, then the Pythagorean Theorem applies.  The triangle in this description has side lengths 14, 29 and 37 km.  We must determine whether or not

14^2 + 29^2 = 37^2 is true:

196 +   841  =  1369    No, this is not true, and so no, these side lengths do not represent a right triangle.

9514 1404 393

Answer:

  42°

Step-by-step explanation:

The measure of angle PUR is half the sum of the measures of arcs PR and ST.

  ∠PUR = (1/2)(arc PR +arc ST)

Using measures in degrees, we have ...

  81 = (1/2)(PR +120)

  162 = PR +120 . . . . . . multiply by 2

  162 -120 = PR = 42 . . . . subtract 120

The measure of arc PR is 42°.

The scalars are c1 = 1/9 and c2 = -4/5. So, 1/9v - 4/5w = (5, -6, 10).

We are given two ordered pairs: v = (9, 6, 6) and w = (-1, -3, 1) in R3. We need to find two scalars c1 and c2 such that c1v + c2w = (5, -6, 10).

Let c1 and c2 be the scalars we seek. We can write the equation as a system of linear equations:

9c1 - c2 = 5

6c1 - 3c2 = -6

6c1 + c2 = 10

We can solve this system of equations using any method we choose. For simplicity, we will use Gaussian elimination to solve for c1 and c2.

R2 = R2 + 2R1:

9c1 - c2 = 5

0c1 - 5c2 = 4

R3 = R3 - R1:

9c1 - c2 = 5

0c1 - 5c2 = 4

-3c1 + 2c2 = 4

R1 = R1 - (9/5)R2:

9c1 - c2 = 1

0c1 - 5c2 = 4

-3c1 + 2c2 = 4

R3 = R3 + (3/5)R2:

9c1 - c2 = 1

0c1 - 5c2 = 4

0c1 - 1c2 = 14/5

R1 = R1 + c2R3:

9c1 = (1) + c2(14/5)

0c1 - 5c2 = 4

0c1 - 1c2 = 14/5

Solving the last two equations:

c2 = -4/5

c1 = (1 + c2(14/5))/9 = 1/9

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Answer: $2.60

Step-by-step explanation:

$1+$1.60=$2.60

The slope of the line having the equation 4x - 3y = -3 is calculated to be

4/3

The slope of the line is gotten by rewriting the equation of the line in the standard form Ax + By = C. to equation of a line in slope intercept form which is y = mx + c

The equation of line in the problem is 4x - 3y = -3

The equation is rewritten as follows

4x - 3y = -3

-3y = -3 - 4x

Isolating y by dividing trough by -3

y = 1 + 4/3 x

y = 1.33x + 1

comparing with y = mx + c where m is the slope we can see that m = 4/3

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The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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Answer:

Angle E

Step-by-step explanation: