The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.


r=2.5

find x

find surface area

find volume

Answer:

D

Step-by-step explanation:

Answer:

Clarice is right because you can flip the triangle and it makes a different shape every single time.

Step-by-step explanation:

Hope i helped.

A brainliest is always apprciated.

The total number of oranges in the basket is 95.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Of a basket of oranges,

20% of them are defective and 76 are in good condition.

Let x be the total number of oranges.

That means 80% = 76 oranges are in good condition.

20% in decimal form is 0.2.

Applying the percentage formula,

(1 - 0.2)x = 76

0.8x = 76

x = 95

And 20% of 95 = 19

Therefore, the total = 95.

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TRUE. The expression "not X and Y" is a conjunction of two logical statements, where "not X" is the negation of X, and "Y" is another logical statement.

In general, the truth value of a conjunction is only true when both statements are true. In this case, if X is false (i.e., not true) and Y is true, then "not X" is true and "Y" is also true. Therefore, "not X and Y" is true in this case.

The expression "not X and Y" can be represented using truth tables, which are tables that show the possible combinations of truth values for the logical statements involved, and the resulting truth values of the expression.

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The expression: not X and Y is true if X is false and Y is true? TRUE of FALSE.

Answer:

32

Step-by-step explanation:

8 + 8 + 8 + 8 = 32

Answer:  32

Step-by-step explanation:  4+4+4+4+4+4+4+4+4=32

Answer:

The measure of angle R is 112 degrees

Step-by-step explanation:

Using the given markings, we can see that we have an isosceles triangle

so RT is also 3x-2

Mathematically, the sum of the interior angles of a triangle is 180:

Thus;

9x + 4 + (3x-2) + (3x-2) = 180

9x + 3x +3x + 4-2-2 = 180

15x = 180

x = 180/15

x = 12

Recall; Angle R is 9x + 4

= 9(12) + 4 = 108 + 4 = 112

Answer:

-1/20

Step-by-step explanation:

2(3/8) - 4/5

6/8 - 4/5

30/40 - 32/40

-2/40

-1/20

The area between a curve and the x-axis can be a difficult concept to understand, but it is important to understand in mathematics and science. In general, the area between a curve and the x-axis represents the amount of space enclosed by the curve.

The area of a curve is often used to model physical quantities such as the amount of fluid in a container or the amount of material in a solid object.

To find the area between a curve, we first need to find an equation for the curve. This equation should be expressed in terms of x and y. Once we have the equation, we need to determine the interval over which we want to find the area.

For example, if the curve represents the height of a container of fluid, we may only want to find the area between the curve and the x-axis over the interval where the container is not empty.

Next, we can use a method called integration to find the area. Integration is a method that allows us to calculate the area under a curve by summing up the areas of very small rectangles. These rectangles are called definite integrals.

To find the area between the curve and the x-axis, we need to integrate the equation for the curve over the interval we have determined.

The result of the integration will be an expression for the area between the curve and the x-axis. This expression will depend on the interval over which we have integrated,

so if we want to find the area between the curve and the x-axis over a different interval, we will need to integrate the equation again over that interval.

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In summary, when the two new children (ages four and twelve) are added to the existing group, the mean age increases from 8 to 8, and the standard deviation changes from its original value to approximately 3.74.

To determine the effect of adding two children (ages four and twelve) to the existing group of five children (ages five, six, eight, nine, and twelve) on the mean and standard deviation of ages, we need to calculate the new values.

Let's calculate the mean first:

Calculate the sum of the ages of the initial five children:

5 + 6 + 8 + 9 + 12 = 40

Add the ages of the two new children:

40 + 4 + 12 = 56

Calculate the new mean by dividing the sum by the total number of children (5 initial + 2 new):

56 / 7 = 8

Therefore, the new mean age is 8.

Now let's calculate the standard deviation:

Calculate the squared difference between each age and the mean for the initial five children:

\((5 - 8)^2 + (6 - 8)^2 + (8 - 8)^2 + (9 - 8)^2 + (12 - 8)^2 = 54\)

Calculate the squared difference between each new age and the new mean:

\((4 - 8)^2 + (12 - 8)^2 = 80\)

Calculate the sum of the squared differences for the initial five children and the new children:

54 + 80 = 134

Divide the sum of squared differences by the total number of children (5 initial + 2 new) and take the square root:

√(134 / 7) ≈ 3.74

Therefore, the new standard deviation is approximately 3.74.

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One possible value of ∠U is 80° (to the nearest degree).

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.

To find the possible values of ∠U, we can use the Law of Cosines:

c² = a² + b² - 2ab cos(C)

Where c is the side opposite the angle we want to find (∠U), a and b are the other two sides, and C is the angle opposite side c.

In this case, we want to find ∠U, so we'll use side u as c and sides t and s (which we don't know yet) as a and b, respectively:

u² = t² + s² - 2ts cos(U)

Substituting the given values, we get:

340² = 620² + s² - 2(620)(s)cos(U)

Simplifying:

115600 = 384400 + s² - 1240s cos(U)

Subtracting 384400 and rearranging:

s² - 1240s cos(U) + 268800 = 0

Now we can use the quadratic formula to solve for s:

s = [1240 cos(U) ± √(1240² cos²(U) - 4(1)(268800))]/(2)

Simplifying under the square root:

s = [1240 cos(U) ± √(1537600 cos²(U) - 1075200)]/(2)

s = [1240 cos(U) ± √(409600 cos²(U) + 1742400)]/(2)

s = [620 cos(U) ± √(102400 cos²(U) + 435600)]

Since s must be positive, we can discard the negative solution, and we have:

s = 620 cos(U) + √(102400 cos²(U) + 435600)

Now we can use the fact that the sum of angles in a triangle is 180° to find ∠U:

∠U = 180° - ∠T - ∠S

Since we know ∠T = 110°, we just need to find ∠S. We can use the Law of Sines to do this:

sin(S)/s = sin(T)/t

sin(S) = (s/t)sin(T)

Substituting the values we know:

sin(S) = (620 cos(U) + √(102400 cos²(U) + 435600))/620 * sin(110°)

sin(S) ≈ (1.481 cos(U) + 2.225)/6.959

Now we can use a calculator to find the arcsin of both sides to get ∠S:

∠S ≈ arcsin((1.481 cos(U) + 2.225)/6.959)

Finally, we can substitute the values we found for ∠S and ∠T into the equation we found earlier for ∠U:

∠U = 180° - 110° - arcsin((1.481 cos(U) + 2.225)/6.959)

Simplifying:

∠U = 70° - arcsin((1.481 cos(U) + 2.225)/6.959)

Now we can use trial and error or a graphing calculator to find the values of ∠U that satisfy this equation. One possible solution is:

∠U ≈ 80°

Therefore, one possible value of ∠U is 80° (to the nearest degree).

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Answer:

i. time = distance/speed

= 40/120

= 1/3 hours

ii. distance = speed × time

= 120 × 3

= 360 km

iii. average speed = total distance/ total time

= 250/2.5

= 100 km/h

for the last question, the time is 2.5 hours because 6.00 to 8.30 is 2 hours 30 minutes. so the 30 minutes you must change to hour and plus with 2. thus, u will get 2.5 hours

The coordinate vector of g(t) relative to the basis F is (-2, 1, -2).

We can do this by equating the coefficients of q(t) and the linear combination of p₁(t), p₂(t), and p₃(t) and solving for c₁, c₂, and c₃. Specifically, we want to solve the system of equations:

c₁ + 2c₂ + 2c₃ = -8

c₁ + 0c₂ + 0c₃ = 0

2c₁ - 3c₂ + 2c₃ = -10

The first equation comes from equating the coefficients of t⁰ in q(t) and the linear combination, the second equation from equating the coefficients of t¹, and the third equation from equating the coefficients of t².

Solving this system of equations, we get c₁ = -2, c₂ = 1, and c₃ = -2. Therefore, we can write q(t) as -2p₁(t) + p₂(t) - 2p₃(t). This means that the coordinate vector of q(t) with respect to the basis F is (-2, 1, -2), which is the vector of scalars that we used to form the linear combination of p₁(t), p₂(t), and p₃(t) that equals q(t).

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The general solution of this differential equation is y(t) = c1 cos(5t) + c2 sin(5t), where c1 and c2 are constants determined by the initial conditions.

Differentiating the second equation with respect to t, we get: d^2y/dt^2 = -5 dx/dt, Substituting dx/dt from the first equation, we get: d^2y/dt^2 = -5(-5y) = 25y.

This is a second order differential equation in y. The general solution of this differential equation is y(t) = c1 cos(5t) + c2 sin(5t), where c1 and c2 are constants determined by the initial conditions.

To find x as a function of t, we can substitute y(t) into the first equation and solve for x: dx/dt = -5y = -5(c1 cos(5t) + c2 sin(5t)) , Integrating both sides with respect to t, we get: x(t) = -c1 sin(5t) + c2 cos(5t) + k

where k is a constant of integration. Using the initial conditions x(0) = 4 and y(0) = 1, we can solve for the constants c1, c2, and k: x(0) = -c1 sin(0) + c2 cos(0) + k = c2 + k = 4, y(0) = c1 cos(0) + c2 sin(0) = c1 = 1

Substituting c1 = 1 and c2 + k = 4 into the equation for x, we get:

x(t) = -sin(5t) + 4

So the solution to the system of differential equations with initial conditions x(0) = 4 and y(0) = 1 is x(t) = -sin(5t) + 4 and y(t) = cos(5t).

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Answer:

If you divide:

\(1+\frac{x+3}{x^2-3x-40}\)

If you simplify:

\(\frac{x^2-2x-37}{(x-8)(x+5)}\)

Step-by-step explanation:

Answer:

\(\sqrt{20}\)

Step-by-step explanation:

Square root of 9 is 3

20 is 4.472135955

27 is 5.19615242271

4.5 is intantly wrong because it is rational.

Answer: √20

Step-by-step explanation:

Answer:

12.5a + 6s = 264.5   and   a + s = 30

Step-by-step explanation:

They also intersect at (17, 13)

(17 student tickets, 13 adult tickets)

Good Luck!

Answer:

b3 +6 (plug in the given value for b and solve)

(2)3 +6 (multiply)

6 + 6 (add)

12 (your answer)

Step-by-step explanation:

I hope this helped :)

Answer:

Step-by-step explanation:

do you know the answer?

If the length of the American flag is 9.5 feet and 1.9 times the width, the width of the flag will be 5 feet.

The length is the measurement of the distance from one point to another.

The width measures the distance from the shorter corner to the end.

Both length and width measure distances of objects or distances from one point to the end.

The length of the flag = 9.5 feet

The ratio of the length to the width = 1.9

The width of the flag = 5 feet (9.5/1.9)

Thus, if the length of the American flag is 9.5 feet and 1.9 times the width, the width of the flag will be 5 feet.

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Answer:

The second one. The -2y should have been +2y

Step-by-step explanation:

a negative multiplied by a negative gives you a positive

Answer:

it should be the second answer

Step-by-step explanation:

hope this helps

Answer:

○ The distance between a and b on the number line is 0.47 units.

Explanation:

The first statement is not true because the distance between a and b on the number line is not 0.47.

Distance between a and b = 5.25 - (-5.72)

                                             = 10.97

• The second statement is true because the sum of a and b is negative:

Sum = a + b

        = -5.72 + 5.25

        = -0.47

• The third statement is true because the quotient of a and -b is:

a ÷ -b

⇒ -5.72 ÷ -5.25

⇒ 1

And the quotient of -a and b is:

-a ÷ b

⇒ -(-5.72) ÷ 5.25

⇒ 1

This shows that the quotients are the same.

• The fourth statement is true because the product of a and -b:

a × -b

⇒ -5.72 × -(5.25)

⇒ 30.03 ,

is positive.

Key points to sketch the graph are- (0, 2) and (3π, -2). We can then connect these points with a smooth curve.

To sketch one cycle of the function

y = 2cos(θ/3),

we need to understand the properties of the cosine function.

The general form of a cosine function is

y = A*cos(Bθ + C),

where A is the amplitude, B is the period, and C is the phase shift.

In this case, the amplitude is 2, which means the graph will oscillate between y = -2 and y = 2. The period is determined by the coefficient in front of θ, which is 1/3.

To find the period, we can use the formula

T = 2π/B,

where B = 1/3.

T = 2π/(1/3) = 6π

This means the graph will complete one cycle every 6π units. To sketch one cycle, we start at the maximum point, which is the peak of the graph, located at (0, 2). Then, we move to the next maximum point, which is one period away, or 6π units to the right.

The minimum point is located halfway between the maximum points, so we find the x-coordinate by taking the average of the x-coordinates of the maximum points:

(0 + 6π)/2 = 3π.

At x = 3π, y = -2.

Therefore, we have two key points to sketch the graph: (0, 2) and (3π, -2). We can then connect these points with a smooth curve.

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Circumference = diameter x pi

Circumference = 36 x 3.14 = 113 feet

Divide circumference by length of fence piece:

113/1.5 = 75.36 = 76 pieces are needed.

walking = biking + 1.5 hour

biking speed = 9 mph + walking speed

route = 6 miles

6/w = 6/(w + 9) - 3/2

Solving for w:

108 = -3w^2 - 27w ==> 3w^2 + 27w + 108 = 0 ==> x^2 + 9x + 36 = 0

We have demonstrated that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

An inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

To prove that x² ≥ x for all x ∈ Z, we need to show that the inequality holds true for any arbitrary integer value of x.

We can prove this by considering two cases:

Case 1: x ≥ 0

If x ≥ 0, then x² ≥ 0 and x ≥ 0. Therefore, x² ≥ x.

Case 2: x < 0

If x < 0, then x² ≥ 0 and x < 0. Therefore, x² > x.

In either case, we have shown that x² ≥ x for all integers x. Therefore, the statement x² ≥ x for all x ∈ Z is true.

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Answer:

yes

...................

Answer:

yes.............

Given function is

Putting x=0, we have,

Hence, the y intercept is (0,-7).

To find the x intercept, let us solve teh equation

It gives

But this equation has no solution.

Hence, the x intercept is NONE