Plz help fast and show me how you got the answer

When Tracey pours all the water from the smaller 5-inch cube container into the larger 7-inch cube container, the water will be approximately 7 inches deep in the larger container.

To find out how deep the water will be in the larger container, we need to consider the volume of water transferred from the smaller container. Since both containers are cube-shaped, the volume of each container is equal to the length of one side cubed.

The volume of the smaller container is 5 inches * 5 inches * 5 inches = 125 cubic inches.

When Tracey pours all the water from the smaller container into the larger container, the water completely fills the larger container. The volume of the larger container is 7 inches * 7 inches * 7 inches = 343 cubic inches.

Since the water fills the larger container completely, the depth of the water in the larger container will be equal to the height of the larger container. Since all sides of the larger container have the same length, the height of the larger container is 7 inches.

Therefore, the water will be approximately 7 inches deep in the larger container.

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To maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

To maximize the seating area, we need to determine the dimensions of the rectangular auditorium that will give us the largest possible area while using the given length of light strips.

Let the length of the rectangular auditorium be L, and its width be W.

The seating area consists of the rectangular portion minus the semicircular stage. So, the seating area's length is L - 2r (subtracting the semicircle's diameter) and the seating area's width is W - 2r.

The perimeter of the seating area is the sum of the lengths of its four sides, excluding the semicircular stage. The perimeter is given as 45π + 60 meters.

Perimeter = 2(L - 2r) + 2(W - 2r) + πr = 45π + 60

Simplifying: 2L + 2W - 8r + πr = 45π + 60

Rearranging: 2L + 2W = 8r + 44π + 60

The area of the seating area is given by A = (L - 2r)(W - 2r).

We want to maximize A, so we need to express it in terms of a single variable. Since we have an equation with two variables (L and W), we can rewrite one of the variables in terms of the other.

Rearranging the perimeter equation: 2L + 2W = 8r + 44π + 60

Solving for L: L = (8r + 44π + 60 - 2W) / 2

Substituting L in terms of W into the area equation: A = [(8r + 44π + 60 - 2W) / 2 - 2r] (W - 2r)

Simplifying: A = (4r + 22π + 30 - W) (W - 2r)

Now we have the area equation in terms of a single variable, W. To maximize A, we can take the derivative of A with respect to W, set it equal to zero, and solve for W.

dA/dW = 2(4r + 22π + 30 - W) - (W - 2r) = 0

Solving for W: 8r + 44π + 60 - W = W - 2r

Simplifying: 10r + 44π + 60 = 2W

W = 5r + 22π + 30

Now that we have W in terms of r, we can substitute this expression back into the area equation to get the area in terms of r only.

A = (4r + 22π + 30 - (5r + 22π + 30)) ((5r + 22π + 30) - 2r)

Simplifying: A = (r - 22π) (3r + 22π + 30)

Expanding: A = 3r² + 8rπ + 30r - 66πr - 660π

Now, to find the maximum area, we can take the derivative of A with respect to r, set it equal to zero, and solve for r.

dA/dr = 6r + 8π + 30 - 66π = 0

Simplifying: 6r - 58π + 30 = 0

6r = 58π - 30

r = (58π - 30) / 6

r ≈ 29π/3 - 5

Therefore, to maximize the seating area while using 45π + 60 meters of light strips, the radius of the semicircular stage should be approximately 29π/3 - 5 meters.

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Step-by-step explanation:

1000 is the answer man you want it right

Answer: 40

Step-by-step explanation: 50x0.8=40

Okay, maybe im wrong? But i dont see how its 4 thats more than half.

Rodger can do 46 pushups.

50 * 0.92 = 46

Edit: To better clarify, 0.92 is from 1.00 - 0.08.  

... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92

Keep in mind that:

1.00 = 100%

0.08 = 8%

0.92 = 92%

After finding this you may multiply 50 * 0.92 to get 46.

Answer:

??i never did this before

Answer:

Step-by-step explanation:

a. equation 2

b. equation 3

c. equation 1

d. equation 4

e. equation 5

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

Answer:

8:27 p.m.

Step-by-step explanation:

5:43 + 2:44

~~~

43+44= 87

87-60= 27

~~~

5+2= 7

7+1 (from the subtracted 60)= 8

~~~

8:27 p.m.

Hope this helps! Have a nice day :)

Answer:

Step-by-step explanation:

A. The difference between the highest and lowest water values is 6 ft.

C. The water level is at its highest value 6 hours after midnight.

The correct statements about the height of the water at a beach is determined as follows;

The given equation for the height of the water;

h = 3 sin(2πt/12 - π/2)

where;

From the given equation, the maximum value of the height (amplitude) = 3

The minimum value will be - 3

The difference in height = 3 - (-3) = 6 ft

The time at which the height of the water will be maximum is calculated as follows;

2πt/12 - π/2 = π/2

2πt/12 = π

2πt = 12π

t = 12π / 2π

t = 6 hours

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Answer: 70 cm²

Step-by-step explanation: The area for a parallelogram is just base times height. 7 x 10 = 70.

Answer:

70 cm^2

Step-by-step explanation:

The area of parallelogram is base × height.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

  ~ ren ⚘

Variance and standard deviation are both measures of the dispersion or spread of a dataset, but they differ in terms of the unit of measurement.

Variance is the average of the squared differences between each data point and the mean of the dataset. It measures how far each data point is from the mean, squared, and then averages these squared differences. Variance is expressed in squared units, making it difficult to interpret in the original unit of measurement. For example, if we are measuring the heights of individuals in centimeters, the variance would be expressed in square centimeters.

Standard deviation, on the other hand, is the square root of the variance. It is a more commonly used measure because it is expressed in the same unit as the original data. Standard deviation represents the average distance of each data point from the mean. It provides a more intuitive understanding of the spread of the dataset. For example, if the standard deviation of a dataset of heights is 5 cm, it means that most heights in the dataset are within 5 cm of the mean height.

To illustrate the application of these measures, consider a dataset of test scores for two students: Student A and Student B.

If Student A has test scores of 80, 85, 90, and 95, and Student B has test scores of 70, 80, 90, and 100, we can calculate the variance and standard deviation for each student's scores.

The variance for Student A's scores might be 62.5, and the standard deviation would be approximately 7.91. For Student B, the variance might be 125 and the standard deviation would be approximately 11.18.

These measures help us understand how much the scores deviate from the mean, and how spread out the scores are within each dataset.

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The exact value of cscθ is (35 * √(1190)) / 1190.

To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.

Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.

In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.

Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.

Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:

sinθ = √(1 - (1/√35)^2)

     = √(1 - 1/35)

     = √(34/35)

     = √34 / √35

     = (√34 / √35) * (√35 / √35)     [Multiplying numerator and denominator by √35 to rationalize the denominator]

     = √(34 * 35) / 35

     = √(1190) / 35

Now, since cscθ is the reciprocal of sinθ, we have:

cscθ = 1 / sinθ

     = 1 / (√(1190) / 35)

     = 35 / √(1190)

     = (35 * √(1190)) / 1190.

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Answer: x = 20

Step-by-step explanation:

Right angle = 90

90 - 47 = 43

43 - 3 = 40

40/2 = 20

Answer:

False.

Cones have a single circular base, while polyhedrons (such as prisms or pyramids) can have multiple bases.

Answer:

true

Step-by-step explanation:

Answer:

its 90

m(PZR)=PR )

Hopefully its helpful and correct

The probability P(E) is 13/15.

According to the statement

we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}

And we have to find the probability P(E).

So, For this purpose

Recall the formula for the probability of an event E in case when all outcomes are equally likely:

P(E)= n(E) /n(S)

in which S is the sample space.

But we have the S = {1, 3, 5, 7, 9},

so, n(S) = Sum of all outcomes / number of outcomes

n(S) = 1+3+5+7+9 /5

n(S) = 25 /5

n(S) = 5 and

For n(E) = Sum of all outcomes / number of outcomes

n(E) = 1+5+7 /3

n(E) = 13 /3

n(E) = 13 /3

Substitute these values in the above written formula then

P(E)= n(E) /n(S)

P(E)=  (13/3)/ 5

P(E)= 13 /15

So, The probability P(E) is 13/15.

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Answer:

-1.25

Step-by-step explanation:

To find the slope you must use 2 points. For this graph, two points that work are (0,5) and (4,0). Then find the rise over run, which is the change in y over the change in x. Do this by using the slope formula, \(\frac{y_{2} - y_{1} }{x_{2}- x_{1} }\). Once plugged in this should simplify to -5/4. In decimal form, this equals -1.25.

Answer:

C 5 km

Step-by-step explanation:

so, 5 cm on the map correlates to

5×100000 = 500000 cm in reality.

100 cm = 1 m

1000 m = 1 km

so, 500000 / 100 = 5000 m.

5000 / 1000 = 5 km

There are no reflectional symmetries of the given figure of the letter 'F'.

Symmetry is an axis around which the object looks similar and faces opposite to each other. therefore, the line of symmetry acts as a mirror for the object.

As we can see that the given figure is the image of the letter 'F', and the letter 'F' is not symmetric about any of the axis as shown below.

Hence, there are no reflectional symmetries of the given figure of the letter 'F'.

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a) The probability histogram of pmf for the number of students who show up for a professor's office hour on a particular day is shown below.

b) The probability that at least two students show up = 0.55 and the probability that more than two students show up = 0.25

c) The probability that between one and three students show up = 0.7

d) The probability that the professor shows up = 0.20

First we write the number of students who show up for a professor's office hour on a particular day and their pmf in tabular form.

x        p(x)

0       0.20

1       0.25

2       0.30

3       0.15

4       0.10

The probability histogram of this data is shown below.

The probability that at least two students show up would be,

P(x ≥ 2) = p(2) + p(3) + p(4)

P(x ≥ 2) = 0.30 + 0.15 + 0.10

P(x ≥ 2) = 0.55

Now the probbability that more than two students show up:

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.15 + 0.10

P(x > 2) = 0.25

The probability that between one and three students show up would be:

P(1 ≤ x ≤ 3) = p(1) + p(2) + p(3)

P(1 ≤ x ≤ 3) = 0.25 + 0.30 + 0.15

P(1 ≤ x ≤ 3) = 0.7

And the probability that the professor shows up would be: p = 0.20

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Answer:

B

Step-by-step explanation:

Since (-3, -4) is in Quadrant III and the reflected point will be "flipped" vertically the answer is Quadrant II.

Answer: B. Quadrant II.

The time that she should leave so she will be late only 4% of the time is given as follows:

7:41 am.

We first must use the z-score formula, as follows:

\(Z = \frac{X - \mu}{\sigma}\)

In which:

The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, and can be positive(above the mean) or negative(below the mean).

The z-score table is used to obtain the p-value of the z-score, and it represents the percentile of the measure represented by X in the distribution.

The mean and the standard deviation for this problem are given as follows:

\(\mu = 15, \sigma = 2\)

The 96th percentile of times is X when Z = 1.75, hence:

1.75 = (X - 15)/2

X - 15 = 2 x 1.75

Z = 18.5.

Hence she should leave her home at 7:41 am, which is 19 minutes (rounded up) before 8 am.

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Solution

- The solution steps are given below:

Answer:

B because c I just did the test and got help on it

Answer:

answer is 1.1

Step-by-step explanation:

11(1331)

11(121)

11(11)

(1)

10(1000)

10(100)

10(10)

(1)

(11/10*11/10*11/10)^(1/3)

=11/10

=1.1.

Answer:

1.1

Step-by-step explanation:

Answer:

Vertex: (-2, -7)

Step-by-step explanation:

Easiest and fastest way to do this is to graph the equation and trace to the vertex. When you do so you should be able to calculate the coordinates of the vertex.

Answer: the answer is (-2,-7)

Step-by-step explanation: APPEX

The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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