Find the product of 4.1x10*2


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Answer:

4 cookies

Step-by-step explanation:

hope this helps! :D

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The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.

In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.

The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.

According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms

Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.

Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.

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Answer:

If they have the same slope, then there will never be any solutions to the system.

If they go up at the same rate, the lines would be parallel no matter the y-intercept. Because of this, it will NEVER intersect or give any solutions.

Answer:

I think the answer it b and a

Answer:

60 min from 16° to -8°

Step-by-step explanation:

given that the temperature at bedtime was 20° . And 10minutes later it was 16° .

Change in temperature= 20-16 = 4°

time = 10min

rate of change of temperature= 4°/10min

again , initial temperature= 16°

final temperature= -8°

change in temperature= -8 -16 = -24°

time taken= 24 / 4 * 10 min = 60min

and we are done!

Answer:

If the temperature continues to change at the same rate, it will take a further 60 minutes until it reaches -8 degrees.

Step-by-step explanation:

To find the rate of change in temperature, divide the change in temperature by the time:

\(\implies \sf Rate\;of\;change=\dfrac{16^{\circ}C-20^{\circ}C}{10\;min}=-0.4^{\circ}C/min\)

Therefore, the rate of change is a decrease of 0.4 degrees per minute.

To calculate how many minutes it takes for the temperature to reach -8 degrees:

\(\implies \sf Rate\;of\;change=\dfrac{temperature\;change}{time}\)

\(\implies \sf -0.4^{\circ}C/min=\dfrac{-8^{\circ}C-16^{\circ}C}{time}\)

\(\implies \sf Time=\dfrac{-8^{\circ}C-16^{\circ}C}{-0.4^{\circ}C/min}\)

\(\implies \sf Time=\dfrac{-24^{\circ}C}{-0.4^{\circ}C/min}\)

\(\implies \sf Time=60\;min\)

Therefore, if the temperature continues to change at the same rate, it will take a further 60 minutes until it reaches -8 degrees.

Answer:

A 61

Step-by-step explanation:

Cos A = 0.4848

A = cos ^-1(0.4848)

A = 61

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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Based on the equation given, it should be noted that the number 3.5 represent the fixed cost in the equation which is the flat charge.

The equation given in the question is represented as thus:

y = 3.5 + 2.3x

In conclusion, the equation given can be used in calculating the amount that a person has to pay.

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Answer:

16

Step-by-step explanation:

Subtract DE from CE and you will get the value of CD

27 - 11 = 16

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

no

Step-by-step explanation:

the total would be $19.55 before tax and tip

Answer:

44+22=x or x-22=44

Step-by-step explanation:

X is the unknown, and so x decreased (minus) 22 is(equals) 44, so x-22=44.

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Answer:

1.86822

Step-by-step explanation:

take the 200 miles and devide the traveling speed

Answer:

0.62 grams

Step-by-step explanation:

Bernie initially added 0.61 grams of salt into the pot, and then added 0.01 grams before serving. To find the total grams of salt added to the pot, simply add 0.61 grams and 0.01 grams.

0.61+0.01=0.62 grams

Answer:

life

Step-by-step explanation:

hi

Answer: 19

Step-by-step explanation:

\(( - 38) + ( - 57) \\ = - 95\)

-95

A figure that gas bee dilated by a scale of 1 does not change its size, so the original figure and the dilated figure would be congruent (same dimensions)

Answer:

Jennifer would complete the job on her own in 5 hours.

Step-by-step explanation:

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

\(ax^{2} + bx + c, a\neq0\).

This polynomial has roots \(x_{1}, x_{2}\) such that \(ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})\), given by the following formulas:

\(x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}\)

\(x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}\)

\(\Delta = b^{2} - 4ac\)

Rates

The together rate is the sum of their separates rate.

We have that:

Jennifer takes x hours to complete the job on her own, so her rate is 1/x.

Carl needs 15 hours longer than Jennifer, that is, 15 + x hours, so his rate is 1/(15+x).

The together rate is 1/4. So

\(\frac{1}{4} = \frac{1}{x} + \frac{1}{15+x}\)

\(\frac{1}{4} = \frac{15 + x + x}{x(15+x)}\)

\(\frac{1}{4} = \frac{15 + 2x}{x(15+x)}\)

Applying cross multiplication.

\(x^2 + 15x = 4(15 + 2x)\)

\(x^2 + 15x = 60 + 8x\)

\(x^2 + 7x - 60 = 0\)

Quadratic equation with \(a = 1, b = 7, c = -60\). So

\(\Delta = 7^{2} - 4*1*60 = 289\)

\(x_{1} = \frac{-7 + \sqrt{289}}{2} = 5\)

\(x_{2} = \frac{-7 - \sqrt{289}}{2} = -12\)

Since the time to complete the job has to be a positive value.

Jennifer would complete the job on her own in 5 hours.

Stephanie earns $1.5 per hour more than what Marco earns.

Linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the y intercept.

Let w represent the wages after h hours.

From the table using the points:

The rate of change (m) for Stephanie is:

This means that Stephanie earn $10.5 per hour.

From the equation: w = 9h, Marco earns $9 per hour

Hence, Stephanie earns $1.5 per hour more than what Marco earns.

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The volume of the sphere is approximately 3431.82 cubic miles.

To find the volume of a sphere, we need the radius of the sphere. The length of a great circle is the circumference of the sphere, which is related to the radius by the formula C = 2πr, where C is the circumference and r is the radius.

In this case, we are given that the length of the great circle is 60 miles. We can use this information to find the radius of the sphere.

C = 2πr

60 = 2πr

Divide both sides of the equation by 2π:

r = 60 / (2π)

r = 30 / π

Now that we have the radius, we can use the formula for the volume of a sphere:

V = (4/3)πr³

V = (4/3)π(30/π)³

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)π(27000/π³)

V = (4/3)(27000/π²)

V = (4/3)(27000/9.87) (approximating π to 3.14)

V ≈ 3431.82 cubic miles

Therefore, the volume of the sphere is approximately 3431.82 cubic miles.

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Question

You are given the great circle of a sphere is a length of 60 miles. What is the volume of the sphere?

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: air pressures of properly inflated sports balls.

Average recommended psi Tolerance

(pounds per square inch)

Soccer ball 12.05 ±3.55

Basketball 8.00 ±0.5  

Volleyball  4.44 ±0.18

Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:

X[bar]-S ≤ X ≤ X[bar]+S

So for each ball type, you can write it as:

Soccer ball

12.05-3.55 ≤ X ≤ 12.05+3.55

8.5 ≤ X ≤ 15.6

Basketball

8.00-0.5  ≤ X ≤ 8.00+0.5

7.5  ≤ X ≤ 8.5

Volleyball

4.44-0.18 ≤ X ≤ 4.44+0.18

4.26 ≤ X ≤ 4.62

I hope this helps!

Answer:

Step-by-step explanation:

This is what I got!

Part I:

Soccer ball: | x – 12.05 | ≤ 3.55  

Basketball: | x – 8 | ≤ 0.5  

Volleyball: | x – 4.44 | ≤ 0.18

Part II:

Basketball: | x – 8 | > 0.5

Part III:

Basketball:

| x – 8 | ≤ 0.5

x – 8 ≤ 0.5

x ≤ 8.5

x – 8 ≥ 0.5

x ≥ 7.5

7.5 ≤  x ≤ 8.5

Answer:

60% water and 40% orange concentrate.

Step-by-step explanation:

6=4=10

Answer:

60%

Step-by-step explanation:

6 cups of water

4 cups of orange juice

↓

10 cups in all

10 × 10=100

To find the percentage, we are going to multiply the numbers by 10.

6 × 10 = 60 ⇒ 60% (water)

4 × 10 = 40 ⇒ 40% (juice)

The percentage of water is 60. So your answer is 60%.

Hope this helps! Let me know if you have any questions. Have a great day!

The mass of the cubic cuboid is 1.479 kilograms.

Dimensionally speaking, density (ρ), in kilograms per cubic meter, is mass (m), in kilograms, per unit volume (V), in cubic meters. By the assumption of uniform density within the copper cuboid, the mass of the solid is equal to:

m = ρ · V

Where V is the volume of cuboid, in cubic meters.

And the volume of cuboid is:

V = w · h · l

Where:

Please notice that a kilogram equals 1000 grams and a meter equals 100 centimeters.

First, calculate the volume of the cuboid:

V = (0.05 m) · (0.03 m) · (0.10 m)

V = 1.5 × 10⁻⁴ m³

Second, determine the mass of the cuboid:

m = (9.86 g / cm³) · (1 kg / 1000 g) · (1000000 cm³ / m³) · (1.5 × 10⁻⁴ m³)

m = 1.479 kg

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The steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

Solution to the quadratic equation

The solution to the quadratic equation is determined as follows;

2x² + 12x - 3 = 0

2x² + 12x = 3

divide through by 2

x² + 6x = ³/₂

take half of coefficient of x, square it and add it both sides of the equation

(x + 3)² = ³/₂ + 3²

x² + 6x + 9 = 9 + ³/₂

2(x² + 6x + 9) = 18 + 3

Thus, the steps that she could use to solve the quadratic equation is determined as 2(x² + 6x + 9) = 18 + 3.

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Using a TI-83, TI-83 Plus, or TI-84 Population standard deviation is 56.4 and Population variance is 3178.5 .

To calculate the population standard deviation and variance using a TI-83, TI-83 Plus, or TI-84 calculator, we can use the following steps:

Enter the data into a list on the calculator. To do this, press the STAT key, then select Edit. Enter the data into L1.

Calculate the sample mean by pressing STAT, then CALC, then 1-Var Stats. Make sure L1 is selected as the list, then press ENTER.

Find the population variance by pressing STAT, then CALC, then 2-Var Stats. Make sure L1 is selected as the list, then press ENTER. The variance will be displayed as sX².

Take the square root of the population variance to find the population standard deviation. To do this, press the MATH key, then select PRB, then select 5:√(. Enter the population variance, then press ENTER.

Using this method, we find that the population standard deviation is approximately 56.4 and the population variance is approximately 3178.5.

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Complete question is:

A statistics professor gives a survey to each of the 10 students in an introductory statistics course. The survey asks the students how many text messages they think they sent yesterday. The data are included below. Use a TI-83, TI-83 Plus, or TI-84 to calculate the population standard deviation and the population variance. Round your answers to one decimal place .

Texts sent yesterday: 29 211 130 21 5 21 19 67 60 95

The width of the duck pond is,

⇒ 27 feet

We can see that the given diagram is a rectangle,

And we know that,

Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.

Now, By given diagram we have;

We have to given that;

Use the scale drawing to determine how wide the duck pond is.

And there are 4.5 feet in 1 square,

Therefore,

1 square is equal to 4.5 feet

So, we get;

The width of the duck pond is,

⇒ 6 square

We know that,

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Then to find width of duck pond in feet,

Multiply 6 with 4.5

⇒ 6 × 4.5 feet

⇒ 27 feet

Thus, The width of the duck pond is,

⇒ 27 feet

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Answer:

b) and c)

Step-by-step explanation:

a)

3/9 = 9/3

0,33 = 3 NO

b) 6+(5+4) = (6+5)+4

6+9 = 11+4

15 = 15 YES

c) 7(2+8) = ? NO

d) 15 + 1 = 1 + 15

16 = 16 YES