4u+8v=-3u+2v
pleaseeee

volume of sphere is increasing at a rate of  62,832 mm3/s.

 The volume of a three-dimensional space can be determined. It is frequently numerically expressed in terms of several imperial units or SI-derived units. Volume and length are dependent on one another.

Step 1: Define an equation that relates the volume of a sphere to its radius.

V = 4/3*π*r3

Step 2: Take the derivative of each side with respect to time (we will define time as "t").

(d/dt)V = (d/dt)(4/3*π*r3)

dV/dt = 4πr2*dr/dt

Step 3: We are told in the problem statement that diameter is 100m, so therefore r = 50mm. We are also told the radius of the sphere is increasing at a rate of 2mm/s, so therefore dr/dt = 2mm/s. We are looking for how fast the volume of the sphere is increasing, or dV/dt.

dV/dt = 4π(50mm)2*(2mm/s)

dV/dt = 62,832 mm3/s

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When estimating a population mean, you are more likely to be correct when using an interval estimate rather than a point estimate. An interval estimate provides a range of values within which the true population mean is likely to fall, accounting for uncertainty. This range provides a higher level of confidence compared to a single point estimate.

When estimating a population mean, you are more likely to be correct when using an interval estimate rather than a point estimate. The reason is that an interval estimate provides a range of values within which the population mean is likely to fall, taking into account the inherent uncertainty in the estimation process.

A point estimate, on the other hand, provides a single value as an estimate of the population mean, without accounting for the variability or margin of error. While a point estimate may be close to the true population mean, there is no measure of confidence or precision associated with it.

An interval estimate, such as a confidence interval, incorporates both a point estimate and a margin of error, which quantifies the uncertainty in the estimate. By providing a range of values, the interval estimate acknowledges that the true population mean may fall within that range with a certain level of confidence.

Using an interval estimate allows for a more comprehensive understanding of the population mean and provides a measure of the reliability of the estimate. It acknowledges the inherent variability in sampling and estimation processes, ultimately increasing the likelihood of being correct in estimating the population mean.

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Answer: 7

Step-by-step explanation:

- x = -7                   >Since you are solving for x and not -x, you must divide

                                 by a -1 to both sides to bring the negative over.  You

                                 can think of it as change the sign of everything when

                                 bring a negative over

x = 7

The rate at which the distance from the plane to the station is increasing when it has a total distance of 4 miles away from the station is 317.5 mi/h.

A rate in which a certain number of units of the first quantity are compared to one unit of the second quantity is not the same as a unit rate. In other words, we may state that the comparison's second amount is always 1.

Thus, P denotes the plane's location, R denotes the radar's location, and V denotes the point that is vertical to the radar and at the plane's height.

Assume that h is the height of the plane, s is the separation from the radar, and x is the separation from point V.

The plane travels at 480 miles per hour and has a 3 mile height. Ds-480 miles per hour.

dt By Pythagorean theorem,

x² = h² + s²

x² = 3²+s²

x² = 9 + s²

Differentiate implicitly with respect to t.

2x dx/dt = 2s ds/dt + 0

x dx/dt = s ds/dt

Use (1)

dx/dt = \(\frac{dx}{dt} =\frac{\sqrt{x^2-9} }{x}\)

= √7/4 x 480

= 120√7

≈ 317.49

Hence, the distance increasing at the rate of dx/dt is 317.5 mi/h.

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According to the given statements, the answers are as follows:

1. number of sides (n) = number of interior angles = number of exterior angles

2. All interior angles are congruent.

3. All exterior angles are congruent.

4. sum of interior angles = (n-2)180°.

5. sum of exterior angles = 360°.

6. measure of each interior angle = (n-2)180°/n.

7. measure of each exterior angle = 360°/n.

Answer:

it isn't 205 but my guess is its 115

Answer:

Step-by-step explanation:

(6, 6.8) and (1, 2.3)

Enter on graph then draw line through the points.

Please give me brainliest

The possible number of books that could be on sale is option 1: (5, 15).

Let's evaluate each option using the given system of inequalities:

a. (5, 15)

x = 5 and y = 15

The first inequality, x + y < 20, becomes 5 + 15 < 20, which is true.

The second inequality, x < y, becomes 5 < 15, which is true.

Therefore, (5, 15) satisfies both inequalities.

b. (15, 5)

x = 15 and y = 5

The first inequality, x + y < 20, becomes 15 + 5 < 20, which is true.

The second inequality, x < y, becomes 15 < 5, which is false.

Therefore, (15, 5) does not satisfy the second inequality.

c. (10, 10)

x = 10 and y = 10

The first inequality, x + y < 20, becomes 10 + 10 < 20, which is true.

The second inequality, x < y, becomes 10 < 10, which is false.

Therefore, (10, 10) does not satisfy the second inequality.

Hence based on the analysis, the possible number of books that could be on sale is option 1: (5, 15).

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Answer:

Given (-4,4),(0,2),(2,1),(4,-1)

Only any two points are on the same line.

Step-by-step explanation:

You could do a lot of calculations, write the equations for the points in the line. These would be very good. But, you could also just look at the points on a graph. See image.

Repost if there are different points in the original problem.

Answer:

18

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

V = 1/3 pi r^2 h

V = 1/3 * 3.14 * 5^2 * h

236 = 1/3 * 3.14 * 25 * h

236 = 26.1667 h

236 / 26.1667  = h

9.019 = h

Rounded to the nearest whole number the h is about 9 cm.

The required match of exponents is below the description with the correct solving steps in the solution part.

The product rule is an exponent rule that states that when you multiply similar bases, the add exponents.

For example, (a²)·(a³) = a²⁺³ = a⁵

1. How many times larger is 2 x 10⁻² then 3 x 10⁻⁶

Subtract by getting the same exponent to be like terms.

2. What is the difference between 2 x 10⁻² and 3 x 10⁻⁶?

Subtract coefficients and then add the exponents.

3. If you are 400 times 2 x 10⁻² away from the sun, how far are you?

Multiply by changing the number to Scientific Notation - multiply coefficients and add exponents.

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Answer:

$90

Step-by-step explanation:

c = 50 + .2m

c = 50 + .2(200)

c = 50 + 40

c = 90

Answer:

the answer is 19.53 but you did not show any graphs

Step-by-step explanation:

Answer:

DUDE WHAT IS THE ANSWER WHAT LIKE A B C OR D

Step-by-step explanation:

Answer: x= 6

Step-by-step explanation:

Since the shape is a parallelogram, the angles will either be equal to each other or add up to 180.  

You can see they do not look the same so they add up to equal 180

12x + 3 +105 = 180

12x + 108 = 180

12x = 72

x = 6

Answer:

La raíz cuadrada de 16 es 4. Es la solución positiva de la ecuación x2 = 16. El número 16 es un cuadrado perfecto.

Step-by-step explanation:

Answer:

C. A rectangle, 8 inches by 4 inches

Step-by-step explanation:

When you have two parallel lines (lines m and n) crossed by a transversal (porch stain) the angles 7 and 8 sum 180º and angles 1 and 8 are alternate exterior angles (have the same measure)

Then to find the measure of angle 1:

1. Find the measure of angle 8:

2. Alternate exterior angles have the same measure:

Answer:

C. 75

Step-by-step explanation:

The answer is 75 because the interior angles of a triangle add up to 180 degrees. So, the steps in solving this equation are:

1. Add 45 and 60 together, when done it equals 105.

2. Since all interior angles add up to 180, you need to subtract 180-105

3. When done, it equals 75 degress.

P.S. and because both triangles are congruent, meaning equal or the same, you can just use the angle measurements from the top triangle and work from there.

Hope this was helpful!! :)

P = 90 is the solution for the given equation.

Given: Qd=95−4

PQs=5+P

To find Qd if P=5:

Put P = 5 in the equation

Qd=95−4P

Qd = 95 - 4 x 5

Qd = 75

So, Qd = 75.

To find P if Qs = 20:

Put Qs = 20 in the equation

Qs = 5 + PP

= Qs - 5P

= 20 - 5P

= 15

So, P = 15.

To solve Qd=Qs, substitute Qd and Qs with their respective values.

Qd = Qs

95 - 4P = 5 + P

Subtract P from both sides.

95 - 4P - P = 5

Add 4P to both sides.

95 - P = 5

Subtract 95 from both sides.

- P = - 90

Divide both sides by - 1.

P = 90

Thus, P = 90 is the solution for the given equation.

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Answer:

y=5/2x+5

Step-by-step explanation:

y=mx+b

m=slope=rise/run=5/2

b=y-intercept=5

Answer:

Step-by-step explanation:

The salary of someone working in the industry with a z-score of -1.12 is approximately $43,825.

To find the salary of someone with a specific z-score, we can use the formula:

X = μ + (z * σ),

where X is the salary, μ is the mean annual salary, z is the z-score, and σ is the standard deviation.

Given that the mean annual salary (μ) is $47,581 and the standard deviation (σ) is $3,354, we can substitute these values into the formula:

X = 47,581 + (-1.12 * 3,354).

Performing the calculations, we get:

X ≈ 47,581 - 3,753.48.

Rounding to the nearest dollar, the salary is approximately $43,825. This means that an employee working in the industry whose salary has a z-score of -1.12 earns approximately $43,825 per year. The negative z-score indicates that the salary is below the mean, as expected since the z-score is negative.

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To find the points on the curve where the tangent line has the largest slope, we need to determine the critical points of the curve, which are the points where the derivative of the function is equal to zero or undefined. The largest slope corresponds to the steepest tangent line on the curve.

To find the largest slope, we need to find the maximum or minimum value of the derivative. This can be done by evaluating the derivative of the curve and finding its critical points. The critical points where the derivative is equal to zero or undefined represent the points on the curve where the tangent line has the largest slope.

By analyzing the critical points and evaluating the derivative, we can determine the specific points on the curve where the tangent line has the largest slope and calculate the corresponding value of the largest slope.

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For accounting purposes, depreciation is an allocation of a cost of an asset.

Both depreciation and amortization are techniques for spreading out an asset's cost throughout its useful life, although they are employed for various asset categories. Whereas amortisation is used for intangible assets like patents, copyrights, and trademarks, depreciation is utilised for tangible assets like buildings, machinery, and equipment. Depreciation is a method used to account for an asset's decline in value as a result of damage or obsolescence. During the course of the asset's useful life, the asset's cost is distributed to match the income it produces.

Depreciation is an accounting technique used to distribute a tangible asset's cost over the course of its useful life.

Hence, for accounting purposes, depreciation is an allocation of a cost of an asset.

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If A and B are vertical angles, then they are congruent, so their measures are equal.

This means

(5x + 5)º = (4x + 29)º

5x + 5 = 4x + 29

x = 24

Then angle A has measure (5*24 + 5)º = 125º.

Answer:

m<A = 115

Step-by-step explanation:

The overall heat transfer coefficient of a heat exchanger is the heat transfer rate from one fluid to the other fluid that flows through the exchanger divided by the logarithmic mean temperature difference between the two fluids.

The general expression for the calculation of overall heat transfer coefficient is given below; U=Q/(AΔTlm) Where U is the overall heat transfer coefficient Q is the heat transfer rate A is the outside heat transfer area of the heat exchangerΔTlm is the logarithmic mean temperature difference between the hot exhaust gases and the water flowing in the heat exchanger. The formula for calculating the logarithmic mean temperature difference, ΔTlm is as follows:

\(ΔTlm = [(ΔT1-ΔT2)ln(ΔT1/ΔT2)]/(ln(ΔT1/ΔT2))\)

Where ΔT1 is the temperature difference between the hot gas entering and leaving the heat exchangerΔT2 is the temperature difference between the cold water entering and leaving the heat exchanger.

To calculate the overall heat transfer coefficient of the heat exchanger, we need to calculate the logarithmic mean temperature difference and the heat transfer rate.

The heat transfer rate can be calculated from the mass flow rate of the water and the specific heat of the water. The mass flow rate of water is 45500 kg/hr and the specific heat of water is 4182 J/kg. So the heat transfer rate can be calculated as follows;

Q = m.cp.ΔT

Where Q is the heat transfer rate, m is the mass flow rate of water, cp is the specific heat of water and ΔT is the temperature difference between the inlet and outlet of water.
ΔT = 150-30 = 120 °C

So,

Q = 45500 x 4182 x 120= 22,394,880 J/hr

The logarithmic mean temperature difference can be calculated as follows:

ΔT1 = 350-175=175 °CΔT2

= 150-30=120 °CΔTlm

= [(ΔT1-ΔT2)ln(ΔT1/ΔT2)]/(ln(ΔT1/ΔT2))

= [(175-120)ln(175/120)]/(ln(175/120))

= 135.7 °C

Now, we can calculate the overall heat transfer coefficient as follows:

U=Q/(AΔTlm)= 22,394,880 / (925 x 135.7)

= 194 W/m².K

Therefore, the overall heat transfer coefficient of the heat exchanger based on the outside surface area is 194 W/m².K.

The overall heat transfer coefficient of a heat exchanger is an important parameter that determines the efficiency of the heat exchanger. In this case, the overall heat transfer coefficient of the heat exchanger was calculated to be 194 W/m².

K is based on the outside surface area of the heat exchanger. The calculation was performed by calculating the logarithmic mean temperature difference and the heat transfer rate of the water.

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Answer:

2.75 hours, or 2 hours and 45 minutes

Step-by-step explanation:

Subtract the cost of materials from the bill, 134-46=88.

Then, for every hour, he charges 32, so divide the difference by 32, 88/32.

Answer

Fill the 5 gallon jug.

Pour the 5 gallon jug into the 3 gallon jug.

Empty the 3 gallon jug and pour the remaining 2 gallons in the 3 gallon jug.

Fill the 5 gallon jug and pour 1 gallon into the 3 gallon jug (remember it will only take one gallon)

Viola the remaining 5 gallon jug will have exactly 4 gallons remaining.

Answer:

use 4/5 of the 5 gallon jar or 1 and 1/3 of the 3 gallon jar

Step-by-step explanation:

the The area of the triangle is 35.1

We can get the height of the triangle using Pythagorean theorem

a^2+b^2=c^2

the height is 7.8

the area of the triangle is 1/2 * base * height

1/2 * 9 *7.8 = 35.1