A cone sits inside a cylinder, as shown. They share the same height and radius. What is the volume of the cylinder not taken up by the cone? Use 3.14 for p.



A
75.36 in.3

B
150.72 in.3

C
226.08 in.3

D
301.44 in.3

Answer:

13. P(-8,2)

14. M(4,-5)

The force that is not driving renewable energy technologies is D. Aggressive pursuit of higher quarterly corporate earnings.

Renewable energy is known for its great potential in providing environmental and social benefits. Below are explanations of the other forces driving renewable energy technologies:

A. Concern for the environment: The environment is a driving force behind renewable energy. The depletion of fossil fuels has contributed significantly to climate change. Renewable energy technologies can be a sustainable solution that can have a positive impact on the environment.

B. Energy independence: Renewable energy is a critical force in energy independence. By using renewable energy, countries can become more energy-independent and less dependent on imported fossil fuels.

C. Inflation proof fuel costs: Renewable energy is a force behind inflation proof fuel costs. Renewable energy is less susceptible to price volatility than traditional energy sources. Renewable energy resources are essentially infinite, so the costs remain constant and predictable.

E. Abundant resource: Renewable energy is a force behind the abundance of resources. Renewable energy sources are virtually limitless and available to the vast majority of countries. This abundance of resources has the potential to reshape the global economy and increase sustainable development opportunities.

The answer is D. Aggressive pursuit of higher quarterly corporate earnings.

learn more about renewable energy from link

https://brainly.com/question/79953

#SPJ11

Answer:

y=1.40x+8

Step-by-step explanation:

26=1.40x+8

18=1.40x

12=x

Answer:

(2/x) * 3

Step-by-step explanation:

Answer:

(2/x)*3

Step-by-step explanation:

Quotient means dividing by, so you have to divide 2 by x.

The rest is difficult to explain.

-hope it helps

Answer:

90°

Step-by-step explanation:

Ok, I get it now.

Draw two perpendicular lines. Starting at any of the right angles, name them 1, 3, 2, 4 going around in order.

Now you have vertical angles 1 and 2, vertical angles 3 and 4, and angle 3 is adjacent to angles 1 and 2. this is exactly what the description states.

Since angles 3 and 4 are right angles, then all angles are right angles.

m<1 = m<2 = m<3 = m<4 = 90

m<4 + m<1 - m<2 = 90 + 90 - 90 = 90

Answer: 90°

By working with percentages, we want to see how much did Gautam lost or win in the whole transaction. We will see that he loses 41.20 AED in the whole transaction.

We know that both games cost 4120 AED each.

With one, he loses 5%, meaning that he sells it at 95% of the original price, so he sells it at:

(4120 AED)*(95%/100%) = (4120 AED)*0.95 = 3914 AED

For the other he wins 4%, so he sells it at 104% of the original price, it is:

(4120 AED)*(104%/100%) = (4120 AED)*1.04 = 4284.80 AED.

The whole transaction will be:

3914 AED + 4284.80 AED - 4120 AED - 4120 AED = -41.20 AED

This means that in the whole transaction he loses 41.20 AED.

If you want to learn more about percentages, you can read:

https://brainly.com/question/14345924

The approximate measure of the largest angle in the triangle is of:

θ = 63.4º.

The vertices of the triangle are given as follows:

N(2,2) and P(0,-2).

The triangle is symmetric over the y-axis, hence the remaining vertex is given as follows:

M(-2,2).

The side lenghts of the triangle are given as follows:

The height of the triangle is of:

4 units.

Hence the base angle is:

The tangent is:

tan(θ) = opposite side/adjacent side

Hence:

tan(θ) = 4/2

tan(θ) = 2

θ = arctan(2)

θ = 63.4º.

The diagram given by the image at the end of the answer represents the situation.

More can be learned about the trigonometric measures at https://brainly.com/question/4372174

#SPJ1

Answer:

0.65

Step-by-step explanation:

1.29/2=0.645

0.645 rounded is 0.65

0.65 is the unit rate and the cost per bag of sunflower seeds.

Hope this helps! :)

Answer: y=-0.5x+4.5

Step-by-step explanation: y=mx+b, m is the slope = -1/2 or -0.5, and b is the y-int, which is 4.5

Answer:

17

Step-by-step explanation:

plug in the numbers to get 41-6(4) which is 41-24

Answer:B=7a

Step-by-step explanation:

Answer:

The correct answer is 120.  Thank me later.

Step-by-step explanation:

The equivalent expression of - (3)⁻⁴ is - (1 / 3 × 1 / 3 × 1 / 3 × 1 / 3).

Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.

Therefore, let's find the equivalent expression of the expression using the exponential law.

Hence,

- (3)⁻⁴

Therefore, using the negative exponential law,

(3)⁻⁴ = (1  / 3)⁴ = (1 / 3 × 1 / 3 × 1 / 3 × 1 / 3)

Hence,

- (1 / 3 × 1 / 3 × 1 / 3 × 1 / 3)

learn more on equivalent expression here: https://brainly.com/question/28170201

#SPJ1

Solving the inequality, we will get t ≤ 1, so the graph will be a number line with a point at t = 1 and a line that goes to the left. So the correct option is D.

Here we have the inequality:

3t - 12 ≤ -9

First, we need to solve it, so we just need to isolate t.

3t  ≤ -9 + 12

3t  ≤ 3

t  ≤ 3/3

t ≤ 1

This is the solution of the inequality. The graph will be a number line with a point at t = 1 and a line that goes to the left. So the correct option is D.

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:

48000/12

Step-by-step explanation:

then /2 is the semi monthly pay

Answer:

x=3.5,x=-6

I hope this help

Answer: (9, 40, 41)

Step-by-step explanation:

There are an infinite number of Pythagorean triples.

Any value a, b, c such that a² + b² = c²

Here are a few of them:

3, 4, 5

5, 12, 13

7, 24, 25

8, 15, 17

9, 40, 41

Answer:

​(x²-y²)² + (2xy)² = (x²+y²)²

Find the missing x- and y-values and Pythagorean triples using the identity given

A Pythagorean triple consists of three positive integers a, b, and c, that satisfy the equation from the Pythagorean theorem, thus, a² + b² = c², such triple is commonly written (a,b,c).​

​We are given the equation : (x²-y²)² + (2xy)² = (x²+y²)² since this, we have :

​a = (x²-y²)

​b = (2xy)

​c = (x²+y²)

​Question 1)

X Value = 4​

​Y Value = 3

​Pythagorean triples: ?

We can replace the values of x and y, to determine a, b and c.​

​a = (x²-y²) = (4²-3²) = 16-9 = 7

​b = (2xy) = (2*4*3) = 24

c = (x²+y²) = (4²+3²) = 16+9 = 25​

​Answer 1 : Pythagorean triples : (7,24,25)

Question 2) ​

​X Value = 5

Y Value = ?​

Pythagorean Triples: (9,40,41)​

​Now we have a, b, and c, to determine Y

​b = (2xy) = 40

Y = 40/2x = 40/2*5 = 40/10 = 4​

Answer 2 : Y = 4​

​Question 3)

X Value = ?​

Y Value = 3​

Pythagorean Triples: (27,36,45)​

Now we have a, b, and c, to determine X​

b = (2xy) = 36​

​X = 36/2y = 36/2*3 = 36/6 = 6

​Answer 3 : X = 6

Question 4)​

​X Value = 7

Y Value = 5​

​Pythagorean Triples: ?

We can replace the values of x and y, to determine a, b and c.​

a = (x²-y²) = (7²-5²) = 49-25 = 24​

b = (2xy) = (2*7*5) = 70​

c = (x²+y²) = (7²+5²) = 49+25 = 74​

Answer 4 : Pythagorean triples : (24,70,74)​

Hope this helps!​​​​​

Step-by-step explanation:

From Spymore

The price of the house at the end of 2008 will be 39,60,000

We must determine the price following each rise in order to determine the cost of the house at the end of 2008.

First of all, in 2004 the price jumped by 10%.

10% of 30,00,000 = 0.1 x 30,00,000 = 3,00,000

As a result, the house's new price in 2004 was:

30,00,000 + 3,00,000 = 33,00,000

The price then rose by 20% in 2008.

20% of 33,00,000 = 0.2 x 33,00,000 = 6,60,000

The home's total price at the end of 2008 was therefore: 33,00,000 + 6,60,000 = 39,60,000.

As a result, the house cost 39,60,000 at the end of 2008.

Learn more about price calculation:

https://brainly.com/question/22116936?referrer

The evaluation of the simultaneous equation is as follows;

a) The simultaneous equations, indicates by plugging in the value of the variable x in the first equation, that the first equation is; 7·x² + 5·y + 3 = 0

b) The equation has no real solutions

Simultaneous equations are set two or more equations that have common solution.

The simultaneous equations are;

y² + x·y + 3 = 0...(1)

x = 6·y + 5...(1)

Plugging in x = 6·y + 5, in equation (1) we get;

y² + x·y + 3 = y² + y × (6·y + 5) + 3 = 0

y² + 6·y² + 5·y + 3 = 0

b) The number of solutions the simultaneous equation has can be obtained by solving the equation, obtained in part (a), 7·y² + 5·y + 3 = 0, as follows;

7·y² + 5·y + 3 = 0

The quadratic formula for finding the solution of the equation; a·x² + b·x  + c = 0, is; -b±√(b² - 4·a·c)/(2·a)

Where the discriminant is; b² - 4·a·c

Comparing the equations, we get;

a = 7, b = 5, and c = 3

b² - 4·a·c is therefore; 5² - 4 × 7 × 3 = -59

The discriminant is less than 0, therefore, there are no real solutions to the equation, but there are to imaginary solutions

Learn more about quadratic equations here: https://brainly.com/question/17105224

#SPJ1

The derivative of a function represents the rate of change of the function with respect to its variable. This rate of change is described as the slope of the tangent line to the curve of the function at a specific point. The derivative of the cosine function can be found by applying the limit definition of the derivative to the cosine function.

\(f(x) = cos(x) then f'(x) = -sin(x)\).

Let's proceed with the proof.  Definition of the Derivative: The derivative of a function f(x) at x is defined as the limit as h approaches zero of the difference quotient \(f(x + h) - f(x) / h\) if this limit exists. Using this definition, we can find the derivative of the cosine function as follows:

\(f(x) = cos(x) f(x + h) = cos(x + h)\)

Now, we can substitute these expressions into the difference quotient: \(f'(x) = lim h→0 [cos(x + h) - cos(x)] / h\)

We can then simplify the expression by using the trigonometric identity for the difference of two angles:

\(cos(a - b) = cos(a)cos(b) + sin(a)sin(b)\)

Applying this identity to the numerator of the difference quotient, we obtain:

\(f'(x) = lim h→0 [cos(x)cos(h) - sin(x)sin(h) - cos(x)] / h\)

We can then factor out a cos(x) term from the numerator:

\(f'(x) = lim h→0 [cos(x)(cos(h) - 1) - sin(x)sin(h)] / h\)

We can then apply the limit laws to separate the limit into two limits:

\(f'(x) = lim h→0 cos(x) [lim h→0 (cos(h) - 1) / h] - lim h→0 sin(x) [lim h→0 sin(h) / h]\)

The first limit can be evaluated using L'Hopital's rule:

\(lim h→0 (cos(h) - 1) / h = lim h→0 -sin(h) / 1 = 0\)

Therefore, the first limit becomes zero:

\(f'(x) = lim h→0 - sin(x) [lim h→0 sin(h) / h]\)

Applying L'Hopital's rule to the second limit, we obtain:

\(lim h→0 sin(h) / h = lim h→0 cos(h) / 1 = 1\)

Therefore, the second limit becomes 1:

\(f'(x) = -sin(x)\)

Thus, we have proved that if \(f(x) = cos(x), then f'(x) = -sin(x)\).

To know more about expressions visit :

https://brainly.com/question/28170201

#SPJ11

Answer:

$175

Step-by-step explanation:

you need to specify if harriet got the 7 portion or the 5 portion. I'll answer as if she got the 7 portion.

They split it into 12 portions because the ratio is 7:5 and 7+5=12. So do $300/12=25

Assuming Maya got the 5 portion, do $25 x 5 = $125, so Maya got $125.

Assuming Harriet got the 7 portion, do $25 x 7 = $175, so Harriet got $175.

The gradient of the stream is 1 meter per kilometre, which means that the stream drops 1 meter for every kilometre travelled. This is a relatively gentle slope and suggests that the stream is not flowing rapidly or eroding its bed very quickly.

The gradient of a stream is a measure of its steepness and is calculated by dividing the change in elevation by the distance travelled. In this case, the stream drops 15 meters in 15 kilometres, which means that the gradient can be calculated as follows:
Gradient = Change in elevation ÷ Distance travelled
Gradient = 15 meters ÷ 15 kilometers
Since we need to express the gradient in terms of meters per kilometre, we can simplify the above equation as follows:
Gradient = (15 meters ÷ 15,000 meters) × 1,000
Gradient = 1 meter per kilometer
Therefore,  understanding the gradient of a stream is important for a range of activities, including flood control, erosion management, and habitat restoration. By monitoring changes in the gradient over time, scientists and engineers can gain insights into the health and behaviour of streams and develop strategies to protect them.

To learn more about distance travelled, refer:-

https://brainly.com/question/29055485

#SPJ11

Answer:

7.5km/h

Step-by-step explanation:

Given data

Distance= 15km

Time = 2 hours

We know that the expression for the speed is

Speed= distance/time

Substitute

Speed= 15/2

Speed= 7.5 km per hour

Hence the speed is 7.5km/h

To express vector b→ using unit vectors, we can break down vector b→ into its components along the x-axis and y-axis.

Let's assume that vector b→ has a magnitude of b and an angle θ with respect to the positive x-axis.

The x-component of vector b→ can be found using the formula:

bₓ = b * cos(θ)

The y-component of vector b→ can be found using the formula:

by = b * sin(θ)

Now, we can express vector b→ using unit vectors:

b→ = bₓ * x^ + by * y^

where x^ and y^ are the unit vectors along the x-axis and y-axis, respectively.

For example, if the x-component of vector b→ is 3 units and the y-component is 4 units, the vector b→ can be expressed as:

b→ = 3 * x^ + 4 * y^

Remember that the unit vectors x^ and y^ have magnitudes of 1 and point in the positive x and y directions, respectively.

To know more about vectors visit:

https://brainly.com/question/24256726

#SPJ11

The vector b can be expressed using unit vectors \(\widehat x\) and \(\widehat y\) by decomposing it into its x-axis and y-axis components, denoted as \(b_x\) and \(b_y\) respectively. This representation allows us to express b as the linear combination \(b_x \widehat x + b_y \widehat y\), providing a concise and clear representation of the vector.

To express the vector b using unit vectors, we can decompose b into its components along the x-axis and y-axis. Let's call the component along the x-axis as \(b_x\) and the component along the y-axis as \(b_y\).

The unit vector along the x-axis is denoted as \(\widehat x\), and the unit vector along the y-axis is denoted as \(\widehat y\).

Expressing b in terms of unit vectors, we have:

    \(b = b_x \widehat x + b_y \widehat y\)

This equation represents the vector b as a linear combination of the unit vectors \(\widehat x\) and \(\widehat y\), with the coefficients \(b_x\) and \(b_y\) representing the magnitudes of b along the x-axis and y-axis, respectively.

Therefore, the vector b can be expressed using unit vectors \(\widehat x\) and \(\widehat y\) by decomposing it into its x-axis and y-axis components, denoted as \(b_x\) and \(b_y\) respectively. This representation allows us to express b as the linear combination \(b_x \widehat x + b_y \widehat y\), providing a concise and clear representation of the vector.

Learn more about unit vectors from the given link:

https://brainly.com/question/28028700

#SPJ11

Answer:

1/64

Step-by-step explanation:

(1/8)² = 1/64

Answer:

A. plant 3; plant 3

Step-by-step explanation:

Plant 3 was the tallest at the beginning. We know this because it is the plant with the highest recorded height at time = 0.

Plant 1 grew 3.5 inches over 6 weeks.

Plant 2 grew ~ 2.25 inches over 6 weeks.

Plant 3 grew 4 inches over 6 weeks.

> This means that plant 3 grew the most, or had the greatest rate of change, over the 6 weeks.