what is this number in standard form?
5.75 x 10^9

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

The polynomial of least degree is y = x³ - 11 · x² + 41 · x - 51.

In this problem we need to determine a polynomial of least degree with real coefficients, a leading coefficient of 1 and zeros of 3 and 4 + i. According to the quadratic formula, there are quadratic equations with two complex conjugate roots, that is, roots of the form x₁ = α + β, x₂ = α - β. Therefore, the complete set of roots is: x₁ = 3, x₂ = 4 + i, x₃ = 4 - i and the degree of the least polynomial is 3.

First, set the factor form of the least polynomial:

y = a · (x - r₁) · (x - r₂) · (x - r₃)

Where a is the leading coefficient.

Second, substitute on the roots and expand the polynomial into standard form:

y = (x - 3) · (x - 4 - i) · (x - 4 + i)

y = (x - 3) · [x² - (4 - i) · x - (4 + i) · x + (4 - i) · (4 + i)]

y = (x - 3) · (x² - 4 · x + i · x - 4 · x - i · x + 16 - i²)

y = (x - 3) · (x² - 8 · x + 17)

y = (x - 3) · x² - 8 · (x - 3) · x + 17 · (x - 3)

y = x³ - 3 · x² - 8 · x² + 24 · x + 17 · x - 51

y = x³ - 11 · x² + 41 · x - 51

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Turn me into a superhero

Answer:

Step-by-step explanation:

sin (B) = \(\frac{2}{5}\)

Answer:

2+z= 18

Step-by-step explanation:

Since we know the value of Z is 16 all we have to do is take the z out and add a 16 there. So the problem would look like this. 2 + 16= 18

Answer:

3a -12

Step-by-step explanation:

3(– 2а - 4) + За  →  -6a - 12 + 3a  →  -3a -12

It would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

To calculate the time it would take to drive from Statesville, NC to Washington, DC, we can divide the distance of 389 miles by the average speed of 65 mph.

Time = Distance / Speed

Time = 389 miles / 65 mph

Time ≈ 5.98 hours

Therefore, it would take approximately 5.98 hours to drive from Statesville, NC to Washington, DC on interstates with an average speed of 65 mph.

To calculate the cost of driving to Washington, DC, we need to know the number of gallons of gas required for the trip. We can find this by dividing the distance by the car's mileage, which is 29 miles per gallon.

Number of gallons = Distance / Mileage

Number of gallons = 389 miles / 29 miles per gallon

Number of gallons ≈ 13.41 gallons

The cost of gas can be calculated by multiplying the number of gallons by the cost per gallon, which is $3.89.

Cost = Number of gallons * Cost per gallon

Cost ≈ 13.41 gallons * $3.89/gallon

Cost ≈ $52.18

Therefore, it would cost approximately $52.18 to drive from Statesville, NC to Washington, DC with a car that gets 29 miles per gallon on the interstate, considering a gas cost of $3.89 per gallon.

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Answer:

50? or together will be 90?

Zale's percent mark up is 37.5 percent.

Mark up percentage is calculated by dividing the gross profit of a unit by the cost of that unit.

In other words, Mark-up percentage is the difference between a product's selling price and cost as a percentage of the cost.

Therefore, Zale's sells diamonds for $1,100 that cost $800.

Hence,

mark up = 1100 - 800

mark up = $300

percentage mark up = 300 / 800 × 100

percentage mark up = 30000 / 800

Therefore,

percentage mark up = 37.5%

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Answer:

1.78

Step-by-step explanation:

Answer:

\(q=45\)

Step-by-step explanation:

Notice that \((q+2)^{\circ}\) and \((3q-2)^{\circ}\) form a linear pair, that is, they sum to \(180^{\circ}\) as follows:

\((q+2)^{\circ}+(3q-2)^{\circ}=180^{\circ}\\(q+2+3q-2)^{\circ}=180^{\circ}\\(4q)^{\circ}=180^{\circ}\\4q=180\\q=\frac{180}{4}\\q=45\)

Answer:

The inequality f ≥ 4n +2 is true for all values of 'f'

Step-by-step explanation:

Explanation:-

Let 'f'  represents any number

The set of even integers greater than '4'

f = { 6, 8, 10,12, 14 ,.............}

we have to write the inequality equation

f ≥ 4n +2

Final answer:-

The inequality f ≥ 4n +2 is true for all values of 'f'

Answer:

10X5 = 50    9X12 = 108

Step-by-step explanation:

Answer:

62/100 multiplied by 650 which is 403 fruits left

Answer:

The two angles that are directly across the intersection point from each other are called vertical angles. Vertical angles are always congruent.

Step-by-step explanation:

brainliest???

Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

Vertical angles are angles opposite to each other where two lines cross.

When two lines intersect, they naturally form two pairs of vertical angles. Vertical angles share the same vertex or corner, and are opposite each other.

These pair of angles are congruent which means they have the same angle measure.

Hence, Vertical angles are two angles that are opposite of each other when two intersect. These angles are congruent.

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Answer:

x≤20

Step-by-step explanation:

x+5≤25

 -5.  -5

x≤20

Hopes this helps please mark brainliest

Answer:

The answer is B

Step-by-step explanation:

20+5=25 and x can be greater than or equal to 25

Answer:

The minimum value of this quadratic function is -4.

At the point (-4, 0), the x-axis intercepts with the quadratic graph.

There is 1 root of this quadratic equation.

Approximately, when y=1, the x value could be -5 or -3.

Slope = \(\frac{rise}{run}\) = \(\frac{7}{4}\)

y - intercept = -2

The  average for a student with 64 on attendance, 82 on the first paper, 61 on the second paper, 72 on test 1, 64 on test 2, 93 on test 3, and 82 on the final exam is 77.31% and the average for a student with the above scores on the papers, tests, and final exam, but with a score of only 29 on attendance is 73.23%.

a. Average:

Average: 82(0.07)+ 61(0.09)+ 72(0.14) +64(0.14) + 93(0.14)+ 82(0.33)÷0.07+0.09+3(0.14)+0.33

Average=5.74+5.49+10.08+8.96+13.02+27.06÷0.91

Average=70.35÷0.91

Average=77.31%

b. Average

Average= 29(0.07)+ 61(0.09)+ 72(0.14) +64(0.14) + 93(0.14)+ 82(0.33)÷0.07+0.09+3(0.14)+0.33

Average=2.03+5.49+10.08+8.96+13.02+27.06÷0.91

Average=66.64÷0.91

Average=73.23%

Therefore the average for both a and b is 77.31% and 73.23%.

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The given equation is expressed as

8z - 7 = 3z - 7 + 5z

The first step is to collect like terms. All terms containing z would be on the left hand side of the equation. The constants would be on the right. It becomes

8z - 3z - 5z = - 7 + 7

8z - 8z = 0

0 = 0

the answer will be 16x

1 gallon 16x as constant variable

The solution of the system of equations is x = 4 and y =-6

The system of equations is given as:

4x - 5y = 46

-4x - 4y = 8

Add the two equations, to eliminate x

So, we have:

4x -4x - 5y - 4y = 46 + 8

Evaluate the like terms

-9y = 54

Divide both sides by - 9

y = -6

Substitute y = -6 in the equation 4x - 5y = 46

4x - 5(-6) = 46

This gives

4x + 30 = 46

Evaluate the like terms

4x = 16

Divide by 4

x = 4

Hence, the solution of the system of equations is x = 4 and y =-6

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Let x = the number of hours the driver worked.

Let y = the number of miles the truck drove.

A system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove is given by:

12x + 3y = 1224.

y = 30x.

In order to write a system of linear equations to describe this situation, we would assign variables to the number of hours the driver worked and number of miles the truck drove respectively, and then translate the word problem into algebraic equation as follows:

Since Bashir must pay the driver $12 per hour of driving and also has an expense of $3 per mile driven for gas and maintenance, with his total expenses for the driver, gas and truck maintenance were $1224:

12x + 3y = 1224.         .......equation 1.

At an average of 30 miles per hour, we have the following equation:

y = 30x      .......equation 2.

Substituting equation 2 into equation 1, we have:

12x + 3(30x) = 1224.

12x + 90x = 1224

102x = 1224

x = 1224/102

x = 12 hours.

For the number of miles the truck drove, we have:

y = 30x

y = 30(12)

y = 360 miles.

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Answer:

x=8

Step-by-step explanation:

7x=56

divide both sides by 7

56/7=8

x=8

Answer:

x=8

Step-by-step explanation:

divide both sides of the equation by 7

7x=56

(7x)/7=56/7

x=56/7

x=8

Answer:

your answer should be -4/5

Answer:

Step-by-step explanation:

Therefore, the height of the tower is approximately 121.4 meters.