5. Kailyn spent 2 hours at dance class. She spent of that
time practicing ballet. How much time did she spend
on ballet?
SHOW YOUR WORK PLEASE (will mark brainliest)

Answer:

So, multiply 120 by 70 cm for the area which is 8,400. Divide that by 25 cm which would be 336. That would be your final answer. (A tip for these problems is to draw it because it makes it easier sometimes.)

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Answer:

Step-by-step explanation:

If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...) is not correct.

Thus, option (D) is correct.

A) If c = 14, the relationship is linear and f(x) = 2x + 8 for x = {1, 2, 3, ...}.

This statement defines a linear relationship, where the function f(x) = 2x + 8.

It's correct if c = 14.

B) If c = 14, the relationship is linear and an = 10 + 2(n - 1) for n = {1, 2, 3, ...).

This statement also defines a linear relationship, where the nth term (an) is given by an = 10 + 2(n - 1).

C) If c = 14.4, the relationship is exponential and f(x) = 10(1.2)(x - 1) for x = {1, 2, 3, ...).

This statement defines an exponential relationship, where the function f(x) = \(10(1.2)^{(x - 1)\).

It's also correct if c = 14.

D) If c = 14.4, the relationship is exponential. \(a_1\)= 10 and \(a_n\)+1 = \(a_n\)+ 1.2 for n = {1, 2, 3, ...).

This statement defines an exponential relationship.

This is not correct.

Thus, option (D) is correct.

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Answer:

W=x/7+ 8z/7 + 4/7

Step-by-step explanation:

Answer:

\(\sqrt{2}\)

Step-by-step explanation:

The diagonal splits the square into 2 right triangles, with hypotenuse the diagonal of length 2 and congruent sides x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides , then

x² + x² = 2²

2x² = 4 ( divide both sides by 2 )

x² = 2 ( take square root of both sides )

x = \(\sqrt{2}\) ← length of side of the square

Step-by-step explanation:

d=a√2

a=d/√2

a=2×√2

a=√2

We can use the polar equation r = f(θ) to sketch the curve. However, since you have only provided the value of θ as −π/6, we cannot determine the shape of the curve without knowing the equation of the function f(θ).

In order to sketch the curve, we need to plot at least three points on the polar coordinate plane. We can do this by selecting three different values of θ, plugging them into the polar equation, and finding the corresponding values of r. We can then plot these points and connect them to form the curve.

Answer:
1. First, recall that in polar coordinates, a point is represented by (r, θ), where r is the distance from the origin, and θ is the angle measured counter-clockwise from the positive x-axis.
2. In this case, the polar equation is given as θ = -π/6, which means the angle is fixed at -π/6 radians, or -30 degrees.
3. Since r can take any value, this curve is a straight line consisting of all points that are located at a -30-degree angle from the positive x-axis. To visualize this, imagine a ray starting at the origin and rotating -30 degrees in the clockwise direction.

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Answer:

1)

D. 3:2

2)

B. 40%

as, no. of girls=8

total no. of students =12+8=20

now,

percentage of girls=no.of girls/total no. of students ×100%

=8/20×100%

=40%

Answer:

Option B

Step-by-step explanation:

From the figure attached,

Circle D is drawn with the radius = DG or DE

A tangent FG has been drawn at a point G on the circle from an external point F.

By theorem,

Radius of a circle is always perpendicular to the tangent, drawn to the circle from an external point.

Therefore, DG ⊥ FG.

Option B will be the correct option.

Answer: B

Step-by-step explanation: good luck!:)

a) The mass of the cube is approximately 0.76755 kg.

b) The buoyant force acting on the cube is approximately 31.70024 N.

To determine the mass of the cube and the buoyant force acting on it, we can use the principles of buoyancy and the given information.

Let's start by finding the volume of the cube:

Volume of the cube = (side length)^3

Volume of the cube = (15.0 cm)^3

Volume of the cube = 3375 cm^3

Since the cube is 72% submerged in water and 28% submerged in oil, we can calculate the volumes of water and oil displaced by the cube.

Volume of water displaced = 0.72 * Volume of the cube

Volume of water displaced = 0.72 * 3375 cm^3

Volume of water displaced = 2430 cm^3

Volume of oil displaced = 0.28 * Volume of the cube

Volume of oil displaced = 0.28 * 3375 cm^3

Volume of oil displaced = 945 cm^3

Now, let's convert the volumes to the same units (meters) as the given oil density:

Volume of water displaced = 2430 cm^3 * (1 m / 100 cm)^3

Volume of water displaced = 0.00243 m^3

Volume of oil displaced = 945 cm^3 * (1 m / 100 cm)^3

Volume of oil displaced = 0.000945 m^3

Next, we can calculate the mass of the cube using the density of the oil:

Mass of the cube = Density of oil * Volume of oil displaced

Mass of the cube = 810 kg/m^3 * 0.000945 m^3

Mass of the cube = 0.76755 kg

Therefore, the mass of the cube is approximately 0.76755 kg.

To find the buoyant force acting on the cube, we can use Archimedes' principle, which states that the buoyant force is equal to the weight of the fluid displaced by the object.

Buoyant force = Density of fluid * Volume of fluid displaced * Acceleration due to gravity

For the water:

Buoyant force in water = Density of water * Volume of water displaced * Acceleration due to gravity

Buoyant force in water = 1000 kg/m^3 * 0.00243 m^3 * 9.8 m/s^2

Buoyant force in water = 23.7254 N

For the oil:

Buoyant force in oil = Density of oil * Volume of oil displaced * Acceleration due to gravity

Buoyant force in oil = 810 kg/m^3 * 0.000945 m^3 * 9.8 m/s^2

Buoyant force in oil = 7.97484 N

Since the cube floats between the water and oil, the total buoyant force acting on the cube is the sum of the buoyant forces in water and oil:

Total buoyant force = Buoyant force in water + Buoyant force in oil

Total buoyant force = 23.7254 N + 7.97484 N

Total buoyant force = 31.70024 N

Therefore, the buoyant force acting on the cube is approximately 31.70024 N.

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A cube of side length 15.0 cm and made of unknown material floats at the surface between water and oil. The oil has a density of 810 kg/m3.

If the cube floats so that it is 72 % in the water and 28 % in the oil, what is the mass of the cube?

What is the buoyant force of the cube?

Answer:

x = 8√2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = 8

Leg b = 8

Hypotenuse c = x

Step 3: Solve for x

The break-even point is the level of output at which total revenue (TR) equals total cost (TC). In this case, with TR(x) = 20x and TC(x) = 120 + 10x, we need to find the value of x where TR(x) = TC(x).

To find the break-even point, we set TR(x) equal to TC(x) and solve for x.
TR(x) = TC(x) can be expressed as:
20x = 120 + 10x
Simplifying the equation, we combine like terms:
20x - 10x = 120
10x = 120
To isolate x, we divide both sides of the equation by 10:
x = 12
Therefore, the break-even point occurs when x is equal to 12. At this level of output, the total revenue is equal to the total cost.

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The equation of this sinusoidal function is either

f(x) = a sin(bx) + c

or

f(x) = a cos(bx) + c

Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.

If the period is π/2, then

2π/b = π/2   ⇒   b = 4

If the maximum value is 10 and the minimum value is -4, then

-4 ≤ a sin(4x) + c ≤ 10

-4 - c ≤ a sin(4x) ≤ 10 - c

-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a

Recall that sin(x) is bounded between -1 and 1. So we must have

-(4 + c)/a = -1   ⇒   a = c + 4

(10 - c)/a = 1   ⇒   a = -c + 10

Combining these equations and eliminating either variable gives

a + a = (c + 4) + (-c + 10)   ⇒   2a = 14   ⇒   a = 7

a - a = (c + 4) - (-c + 10)   ⇒   0 = 2c - 6   ⇒   c = 3

Finally, we have either

f(x) = a sin(bx) + c   ⇒   f(0) = c = 3

or

f(x) = a cos(bx) + c   ⇒   f(0) = a + c = 3

but the cosine case is impossible since a = 7.  

So, the given function has equation

f(x) = 7 sin(4x) + 3

The value of b that makes the equation b * 4 = 12 true is b = 3. Thus, the correct answer is option (D).

Let's apply each option and see which value of b makes the equation b * 4 = 12 true:

A) b = 48

48 * 4 = 192 (not equal to 12)

B) b = 16

16 * 4 = 64 (not equal to 12)

C) b = 8

8 * 4 = 32 (not equal to 12)

D) b = 3

3 * 4 = 12 (equal to 12)

Therefore, the value of b that makes the equation b * 4 = 12 true is b = 3.

Thus, the correct answer is option (D).

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Answer:

1. 9

2. 122cm squared

3. 189m

4. 30

5. b

Step-by-step explanation:

1. 27,36,45,54,63,72,81,90,99

2. 12x6=72 10x5=50 50+72=122

3. 21x9=189

4. 5x12=60 60/2=30

5  b because 150 divided by 4 doesn't give you a whole number.

Answer:

Carlos Got more votes.

Step-by-step explanation:

If you do the math and find out what 38% of 150 is then you will have your answer

The transformation f(x)↦7f(x) does vertical stretch by a factor of 7 in f(x)

Given :

the transformation f(x)↦7f(x)

In the given transformation f(x)↦7f(x)

7 is multiplied with f(x). 7 is greater than 1

So, there will be vertical stretch by a factor 7 in f(x)

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Answer:

x = 9

Step-by-step explanation:

3 ㏒₄x  = 2 ㏒₄27

㏒₄ x³ = ㏒₄ 27²

As ㏒₄ = ㏒₄

You can write this as,

x³ = 27²

x ³ = 27 × 27

x³ = 3³ × 3³

x ³ = 3⁶

x ³ = 729

x ³ = 9³

There fore,

x = 9

Hope this helps you :-)

Answer:

35$ : 1,25$ = 28 Trips

Step-by-step explanation:

From 29 Trips you have a better deal.

Step-by-step explanation:

To write the inequality, let x be the number of trips:

As we are finding how many rides until it is cheaper, we will be using the greater than sign:

0.90 * x > 24

To isolate x, we need to divide both sides by 0.9:

\(x > \frac{24}{0.9}\)

x > 26.66 or

x > 26 \(\frac{2}{3}\)

Rounding down as too little money will result in no trip:

x > 26

This means that it is cheaper to buy individual tickets until 26 rides which are when the monthly pass will be better.

Hope this helps!

The best answer would be 213.

Assuming that the sign denotes summation, we are adding from k=4 to k=9.

To get, we change k=4 to k=9.

We simplify obtaining,

To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

Summarizing mainly entails entering the values k=4, 5, 6, 7, 8, and 9 into the formula section 5K+3 and adding them all together.

So, the result is:

(5(4)+3)+(5(5) + 3) + (5(6) + 3) + (5(7) +3) + (5(8) + 3) + (5(9) + 3) 23+28+33 +38+43 + 48

= 213

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The average value of f(x, y, z) = z over the region bounded below by the xy-plane, on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, and bounded above by the cone z = \(\sqrt{(x^2 + y^2)}\) is 0.

To find the average value of a function f(x, y, z) = z over the given region, we first define the boundaries. The region is bounded below by the xy-plane, meaning all points have z = 0.

It is bounded on the sides by the sphere \(x^2 + y^2 + z^2\) = 81, which represents a solid sphere centered at the origin with a radius of 9. Finally, it is bounded above by the cone z = √\(\sqrt{(x^2 + y^2)}\), where the height of the cone is equal to the distance from the origin.

To calculate the average value, we need to find the volume of the region and compute the triple integral of f(x, y, z) = z over that volume.

However, since the function f(x, y, z) = z is an odd function with respect to z and the region is symmetric, the positive and negative contributions of z will cancel each other out, resulting in an average value of 0.

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Answer:

1/19

Step-by-step explanation:

Can you please mark my answer as a Brainliest.

Thanks

Answer:

1/19

Step-by-step explanation:.......the final answer 1/19

plz mark me as brainlist and give me points

Answer:

B.

Step-by-step explanation:

Answer:

v=  π r2 h

Step-by-step explanation: the answer for ur question :)

Answer:

B. 25.40 cm

You're welcome

Answer: x=7

Step-by-step explanation:

Step 1: Subtract 17x from both sides.

13x+15−17x=17x−13−17x

−4x+15=−13

Step 2: Subtract 15 from both sides.

−4x+15−15=−13−15

−4x=−28

Step 3: Divide both sides by -4.

−4x/−4 =−28/−4

x=7

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.

To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.

For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.

For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.

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Answer: 11

Step-by-step explanation:

Answer:

9.65 miles

Step-by-step explanation:

Given:

Final elevation = 8.05 miles

Change in elevation = 1.6 miles

Let Initial elevation which is the elevation before descent = x

Initial elevation - change in = final elevation

(-ve) sign because it was a descent

x - 1.6 = 8.05

x = 8.05 + 1.6

x = 9.65 miles

Hence, elevation before descent is 9.65 miles

Answer:

hi… I think it's written that way