Select the correct answer. What is √125 in simplest form? OA. 5√5 B. 25√5 OC. 5√25 D. 15 Select the correct answer . What is √125 in simplest form ? OA . 5√5 B. 25√5 OC . 5√25 D . 15​

Given that x = 7.7 m and = 25° the value of  AB is given as 3.254

We have the following data to work with

x = 7.7 m and = 25°,

then we have sin 25 = ∅ = 25 degrees

sin 25 = ab / 7.7

cross multiply from here

AB = sin25 x 7.7

= 0.4226 x 7.7

= 3.254

Hence we would say that in the triangle if x = 7.7 m and = 25°, the value of AB would be solved to be 3.254

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Step-by-step explanation:

Best Gifts for 13-Year-Old Girls!

Firefly String Lights.

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Best Gifts for a 14 Year Old Girl

Money or Gift Cards.

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For the movie loving girl.

Something for 14 year olds who love music.

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Answer:

hi

Step-by-step explanation:

Firefly String

Shoes.

iphone 11

Answer:

Sample Response: No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.

Step-by-step explanation:

edge2020

Answer:

No. In many real-world scenarios, the variable is a value that is compared to other quantities. The value for the variable is used to find the quantities it is compared to.

When the batter is halfway to first base in a baseball diamond, the rate at which his distance from second base is decreasing is 0 ft/s, while the rate at which his distance from third base is increasing is √2 ft/s.

To analyze the situation, we can consider the geometry of the baseball diamond. Since the diamond is a square, each side has a length of ft.

When the batter is halfway to first base, he forms a right triangle with second base and third base. The hypotenuse of this triangle represents the distance from second base to third base, which is √2 times the length of one side of the square.

At this moment, the batter is moving directly towards first base, which is perpendicular to the line connecting second and third base. Therefore, the rate at which his distance from second base is decreasing is 0 ft/s since he is not changing his distance from second base.

On the other hand, the rate at which his distance from third base is increasing can be calculated. Since the hypotenuse (distance from second base to third base) is √2 times the length of one side, we can differentiate with respect to time to find the rate of change. Thus, the rate at which his distance from third base is increasing is √2 ft/s.

Therefore, when the batter is halfway to first base in a baseball diamond, his distance from second base is not changing, while his distance from third base is increasing at a rate of √2 ft/s.

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Answer:

p(a tail on the second toss) = 4/8

p(exactly one head) = 3/8

p(a head on each of the last two tosses) = 2/8

Step-by-step explanation:

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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Answer:

The answer for your question is "False"

Answer:

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

Step-by-step explanation:

i got it right

word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

A number expressed as a quotient, in which a numerator is divided by a denominator.

As, per the diagram there are total of 10 columns out of which 8 are shaded blue.

So, if we write the fraction of shaded part it will be 8/10.

So,  in word: eight-tenths

fraction: 8/10 = 4/5

decimal: 0.8

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Answer: 69370 is divisible by 10 only

Answer:

10

Step-by-step explanation:

if u divide by 8,4,6 you get decimal answer

Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

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Each carpenter will use 3.28 gallons of paint, which lies between the whole numbers 3 and 4.

To find the amount of paint each carpenter will use, we need to divide the total amount of paint (23 gallons) by the number of carpenters (7):

23 gallons ÷ 7 carpenters = 3.2857 gallons per carpenter

Since we cannot have a fraction of a gallon, we round this number to the nearest whole number to get:

Each carpenter will use 3 gallons of paint.

However, since 3.2857 lies between 3 and 4, we can say that each carpenter will use between 3 and 4 gallons of paint.

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The value of 208 divided by 8 is 26.

Division is the opposite of multiplication. It should be noted that the main goal of dividing is to see how many equal groups that are formed or how many are in each group when sharing fairly. A division problem has three main components: the dividend, the divisor, and the quotient. The amount that will be divided is the dividend. The quantity of "people" among whom the number is divided is referred to as the divisor. The answer is the quotient. The opposite of multiplying is division. Knowing a division fact enables us to find a multiplication fact:

The steps are:

The division will be:

= 208 / 8

= 26

The value is 26.

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Answer:

Step-by-step explanation:

Since two angles of △ABC are congruent to two angles of △PQR, the third pair of angles must also be congruent, so ∠C≅∠R, and △ABC≅△PQR by ASA. The corresponding congruent angles are: ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R. The corresponding congruent sides are: AB ≅ PQ, BC ≅ QR, AC ≅ PR.

The equation for spherical wave radius is given by R = ct, where R is the radius of the spherical wave, c is the speed of light and t is the time elapsed since the wave was emitted.

This equation is based on the fact that light propagates in a spherical wave, meaning that its speed is the same in all directions. The radius of the wave increases as time passes, so the equation is used to calculate the radius of the wave at any given point in time.When a light source emits a spherical wave, the wave expands in all directions at a uniform speed (the speed of light). The equation for the spherical wave radius expresses this effect, by calculating the distance the wave has travelled since it was emitted. This distance is equal to the product of the speed of light and the amount of time that has passed since the wave was emitted.The equation for spherical wave radius can be used to calculate the maximum distance that a wave can travel in a given amount of time. It can also be used to determine the time it takes for a wave to reach a certain distance. This is particularly useful for astronomical and navigation purposes, as it allows us to calculate the distance between two objects in space or the time it takes for a signal to reach a distant object.

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The equation for spherical wave radius is given by R = ct, where R is the radius of the spherical wave, c is the speed of light and t is the time elapsed since the wave was emitted.

This equation is based on the fact that light propagates in a spherical wave, meaning that its speed is the same in all directions. The radius of the wave increases as time passes, so the equation is used to calculate the radius of the wave at any given point in time.When a light source emits a spherical wave, the wave expands in all directions at a uniform speed (the speed of light). The equation for the spherical wave radius expresses this effect, by calculating the distance the wave has travelled since it was emitted. This distance is equal to the product of the speed of light and the amount of time that has passed since the wave was emitted.The equation for spherical wave radius can be used to calculate the maximum distance that a wave can travel in a given amount of time. It can also be used to determine the time it takes for a wave to reach a certain distance. This is particularly useful for astronomical and navigation purposes, as it allows us to calculate the distance between two objects in space or the time it takes for a signal to reach a distant object.

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Answer:

10cm

Step-by-step explanation:

The mean period of the oscillation is 1.257 s and the standard deviation is 0.123 s.

To find the mean and standard deviation of the data, we can use the following formulas:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest

Standard deviation = \(\frac{\sqrt{((sum of (data point - mean)^{2}) } \\}{number of data points - 1}\)

First, let's find the mean:

Mean = (1.88 + 0.97 + 1.43 + 1.26 + 1.61 + 1.19 + 1.17 + 1.28 + 1.25 + 1.48) / 10

Mean = \(\frac{12.57}{10}\)

Mean = 1.257

The mean is 1.257.

Next, let's find the standard deviation:

Standard deviation = (\(\sqrt{(((1.88 - 1.257)^{2}+(0.97 - 1.257)^{2} (1.43 - 1.257)^{2}+(1.26 - 1.257)^{2}+(1.61 - 1.257)^{2}}\)\(+\sqrt{+(1.17 - 1.257)^{2}+(1.28 - 1.257)^{2}+(1.48 - 1.257)^{2}}\))/9

Standard deviation =\(\sqrt{\frac{0.134}{9} }\)

Standard deviation = \(\sqrt{0.015}\)

Standard deviation = 0.123

Therefore, the mean period of the oscillation is 1.257 s and the standard deviation is 0.123 s (sample standard deviation).

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Answer:

1) x < -1

2) x ≥ -1

3) x ≤ -1

4) x < -1 and x > 0

5) -1 < x < 0

Explanation:

(1) f(x) > 0

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 > \:0\)

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x > \:2\)

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x > \:2^{-1}\)

\(\sf \rightarrow x < -1\)

(2) f(x) ≤ 0

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 \leq \:0\)

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x \leq \:2\)

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x \leq \:2^{-1}\)

\(\sf \rightarrow x\geq -1\)

(3) g(x) ≥ 0

\(\sf \rightarrow -\dfrac{2}{x}-2 \:\geq \:0\)

\(\sf \rightarrow -\dfrac{2}{x} \:\geq \:2\)

\(\sf \rightarrow \dfrac{1}{x} \:\geq \:-1\)

\(\sf \rightarrow x \: \leq \:-1\)

(4) g(x) < 0

\(\sf \rightarrow -\dfrac{2}{x}-2 \: < \: 0\)

\(\sf \rightarrow x < -1 \ or \ x > 0\)

Observe the graphs a find solution for g(x) < 0

(5) f(x) < g(x)

\(\sf \rightarrow \left(\dfrac{1}{2}\right)^x-2 < -\dfrac{2}{x}-2\)

\(\sf \rightarrow -1 < x < 0\)

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

The first one or A. 6.5y + 10

Step-by-step explanation:

0.5y + 10.5 + 6.5y - 0.5 - 0.5y

10.5 + 6.5y - 0.5

6.5y + 10

Answer: 18.75%

Step-by-step explanation:

To find the percentage decrease, the formula is shown below.

Plug in the values and calculate:

\(\frac{8-6.5}{8} *100=18.75%\)

So, the chunk of meat lost 18.75% of its initial weight.

Answer:

39

Step-by-step explanation:

A(n) = 15 + 3(n-1)

A(9) = 15 + 3 *(9 - 1)

       = 15 + 3 * 8

        = 15 + 24

        = 39

The integral (12x + 12y) dA over the region R, using the given transformation, evaluates to 64. The new limits of integration are u = -6 to u = 6 and v = -6 to v = 6.

To evaluate the integral (12x + 12y) dA over the region R, we need to perform a change of variables using the given transformation:

\(x &= \frac{1}{3}(u + v) \\\)

\(y &= \frac{1}{3}(v - 2u)\)

First, let's find the Jacobian determinant of the transformation:

\(J = \frac{\partial{(x, y)}}{\partial{(u, v)}}\)

\(J = \frac{\partial{(x, y)}}{\partial{(u, v)}}\)

\(\left| \frac{\partial x}{\partial u} \ \frac{\partial x}{\partial v} \right|\)

\(\[= \left| \frac{1}{3} \ \frac{1}{3} \right|\]\)

\(=\[| -\frac{2}{3} \ \frac{1}{3} |\]\)

\(=\frac{1}{3}\)

Now, let's find the new limits of integration by substituting the given vertices of R into the transformation:

When (x, y) = (-2, 4):

\(\[-2 = \frac{1}{3}(u + v)\]\)

\(\[4 = \frac{1}{3}(v - 2u)\]\)

Solving these equations, we get u = 0 and v = -6.

When (x, y) = (2, -4):

\(\[2 = \frac{1}{3}(u + v)\]\)

\(\[-4 = \frac{1}{3}(v - 2u)\]\)

Solving these equations, we get u = 0 and v = 6.

When (x, y) = (3, -3):

\(\[\begin{aligned}3 &= \frac{1}{3}(u + v) \\\\-3 &= \frac{1}{3}(v - 2u)\end{aligned}\]\)

Solving these equations, we get u = 6 and v = 0.

When (x, y) = (-1, 5):

\(\[\begin{aligned}-1 &= \frac{1}{3}(u + v) \\5 &= \frac{1}{3}(v - 2u)\end{aligned}\]\)

Solving these equations, we get u = -6 and v = 0.

Therefore, the new limits of integration for the integral are u = -6 to u = 6 and v = -6 to v = 6.

Now, we can rewrite the integral using the new variables:

\([\int_{-6}^{6} \int_{-6}^{6} (12x + 12y) , da = \frac{1}{3} \int_{-6}^{6} \int_{-6}^{6} \left( 12(u + v) + 12(v - 2u) \right) , dudv]\)

\(\[= \frac{4}{9} \int_{-6}^{6} \int_{-6}^{6} \left( 4u + 4v + 4v - 8u \right) \, dudv\]\)

\(\[= \frac{4}{9} \int_{-6}^{6} \int_{-6}^{6} \left( -4u + 8v \right) \, dudv\]\)

Integrating with respect to u first, we have:

\(\[= \frac{4}{9} \int_{-6}^{6} \left( -\frac{4u^2}{2} + 8uv \right) \, du\]\)

\(\[= \frac{4}{9} \int_{-6}^{6} \left( -2u^2 + 48v \right) \, du\]\)

\(\[= \frac{4}{9}\) (864)

= 64

Therefore, the value of the integral (12x + 12y) dA over the region R is 64.

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Answer: A random variable.

Step-by-step explanation:

a numerical description of the outcome of an experiment is called a random variable.

Answer:

-2.0659021

Step-by-step explanation:

If the number you're dividing by has a decimal, move the decimal point all the way to the right counting the number of places you've ... In this problem we divide 4.71 by 3.2 out to 3 decimal places in the quotient answer.

Hope this helps

By generating 20 samples of size 100 and calculating the proportions of vacationers who enjoy water parks in each sample, we can assess how closely the samples estimate the percent of all vacationers who enjoy water parks.

To estimate how closely the samples of size 100 reflect the percent of all vacationers who enjoy water parks, we can conduct a simulation using technology.

By generating multiple samples and calculating the proportion of vacationers who enjoy water parks in each sample, we can compare the sample proportions with the known population proportion of 60%.

Using a random number generator or statistical software, we generate 20 samples of size 100. For each sample, we calculate the proportion of vacationers who enjoy water parks by dividing the number of vacationers who enjoy water parks by the total sample size.

After obtaining the sample proportions, we can compare them with the known population proportion of 60%. We can calculate the difference between each sample proportion and 60% to measure how closely the samples estimate the true population proportion.

We can then calculate summary statistics, such as the mean, standard deviation, and confidence interval, to assess the overall accuracy and variability of the sample estimates.

For example, if the average of the sample proportions is close to 60% and the standard deviation is relatively small, it indicates that the samples provide accurate estimates of the population proportion.

On the other hand, if the sample proportions vary widely and deviate significantly from 60%, it suggests that the sample estimates may not accurately reflect the population proportion.

By conducting this simulation with 20 samples of size 100, we can evaluate how closely the samples estimate the percent of all vacationers who enjoy water parks and assess the accuracy and variability of the sample estimates.

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Answer:

2, 4, 6, and 8.

Step-by-step explanation:

Even: Anything that isn't or ends with

1, 3, 5, 7, 9.

Whole: Not a decimal.

Positive: Isn't below 0.

Answer:

x²¹ /64

Step-by-step explanation:

To know the mistake made by Javier, let us simplify the given expression. This can be obtained as follow:

(20x / 5x⁸)¯³ = (20x)¯³ / (5x⁸)¯³

= (5x⁸)³ / (20x)³

= 5³x²⁴ / 20³x³

= 125x²⁴ /8000x³

= 125x²⁴ ÷ 8000x³

Recall

Mᵃ ÷ Mᵇ = Mᵃ¯ᵇ

Therefore,

125x²⁴ ÷ 8000x³ = (125/8000)x²⁴¯³

= (1/64) x²¹ = x²¹/64

Thus,

(20x / 5x⁸)¯³ = x²¹/64

Answer:

nhbh

In the last step, Javier divided the exponents. He should have used the quotient of powers property and subtracted them.

Step-by-step explanation:

The system of linear equations is:
0x + y + z - 7w = -4
3x + 1z = 8

To write the given system of linear equations in matrix form, we can arrange the coefficients of the variables into a matrix and the constants into a separate matrix.

The coefficient matrix will be:
[7  -4  8]
[0   7  -4]
[1   -1  7]

The variable matrix will be:
[x]
[y]
[z]

The constant matrix will be:
[9]
[6]
[8]

Therefore, the system of linear equations in matrix form is:
[7  -4  8]   [x]   [9]
[0   7  -4]   [y]   [6]
[1   -1  7]   [z]   [8]

Now, for the given matrix equation, we can translate it into a system of linear equations.

The coefficient matrix will be:
[0   1   1   -7]
[3   0   1   0]

The variable matrix will be:
[x]
[y]
[z]
[w]

The constant matrix will be:
[-4]
[8]

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