What is the surface area of a pyramid with measurements of 4cm by 4cm by 7cm

Answer:

6:6=x

7:16=y

8:20=z

Step-by-step explanation:

For 6, since BD is a perpendicuar bisector, that means 15x=90. Divide 90 by 15 and you get 6

for 7, if bd is a angle bisector, you can set 3y=48. divide 48 by 3 and you get 16

for 8, since Bd is a median, you can set 2z-3=z+17. Isolate the variable and you will get 2z-z=17+3. Add like terms together and you get z=20

Just so you know, a perpendicular bisector will make both angles equal to 90, an angle bisector make both angles equal to each other, and medians make it so that it hit a line in the center therefor you can set both sides of the line to be equal

Answer:

irrational

Step-by-step explanation:

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Given identity is `csc x (csc x + 1) = (sinx+1)/ sin^2 x

To verify the identity `csc x (csc x + 1) = (sinx+1)/ sin^2 x`, we will use the identities:

`cosec θ = 1 / sin θ`and `1 + tan^2 θ = sec^2 θ`

In order to use the identity, we first have to convert `cosec θ` into `sin θ`.`

cosec θ = 1 / sin θ

``1 / (cosec θ + 1) = sin θ`

We will replace `cosec θ` with `1 / sin θ` in the left side of the given identity.

`csc x (csc x + 1) = (sinx+1)/ sin^2 x`

We replace `csc x` with `1 / sin x` to get the new identity.

`1/sinx (1/sinx + 1) = (sinx + 1) / sin^2 x`

Now, we will replace `1 / (sin x + 1)` with `cos x / sin x` (from the identity `1 + tan^2 θ = sec^2 θ` with `θ` as `x`).

`1 / sin x + 1 = cos x / sin x``1 / sin x (cos x / sin x) = (sinx + 1) / sin^2 x`

On simplifying, we get:

`cos x + 1 = sin x + 1`

This is true. Thus, we have verified the identity `csc x (csc x + 1) = (sinx+1)/ sin^2 x`.

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In single-case designs, the standard for comparison purposes to evaluate the treatment effects is typically the individual's own performance during different phases of the study. Here's a step-by-step explanation:

1. Baseline Phase: The study begins by collecting data on the individual's behavior or performance without any intervention. This phase is called the baseline and serves as a reference point for comparison.

2. Intervention Phase: After establishing the baseline, the researcher introduces the treatment or intervention. The individual's performance during this phase is then compared to their performance during the baseline phase.

3. Reversal or Withdrawal Phase (optional): In some single-case designs, the intervention is withdrawn to see if the individual's performance returns to baseline levels. This phase helps to further establish the treatment's effectiveness.

4. Replication (optional): The study can be replicated with the same individual or with other individuals to demonstrate the treatment's effectiveness across different cases.

By comparing the individual's performance across these different phases, researchers can evaluate the treatment effects without the need for a control group.

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Answer:

  a.  0.15%

Step-by-step explanation:

The Z-score of 940 pounds is ...

  (X -µ)/σ = (940 -3550)/870 = -3

The empirical rule tells you that 99.7% of the normal distribution lies within Z = ±3. Half of the remaining 0.3% lies below Z = -3, which is the set of weights of interest.

The probability that a car weighs less than 940 lbs is about 0.15%.

The tendency to perceive meaningful patterns in random sequences of outcomes often leads us to underestimate the extent to which outcomes result from CHANCE .

The word "chance" describes unpredictability or the unexpected in relation to things like events that happen without a clear reason why and without human intention.

The conclusion is that chance is the tendency of people to recognize different kinds of significant patterns in a random order or sequence in addition to evaluating any kind of outcome. Because chance can also result in an underestimating of a system's conclusion or result, it is crucial to consider it when conducting an investigation.

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The farm for sale measures 1120 acres.  

How many acres are equivalent to one square mile?

1 square mile= 640 acres.

To convert square miles to acres, we need to know that there are 640 acres in one square mile.

Given that the farm for sale measures one and three-quarter square miles, we can calculate the number of acres as follows:

1 and 3/4 square miles = 1.75 square miles  

Number of acres = 1.75 square miles * 640 acres/square mile

Number of acres = 1120 acres

Therefore, the farm for sale measures 1120 acres.

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Answer:

90 counterclockwise or 270 clockwise

Step-by-step explanation:

just trust me bro lolskies

====================================================

Explanation:

Through some strange formatting error, the tickmarks are not in the proper locations. They should be to the right and slightly above the letter. They should be close by, and not far away like that.  

It looks like the purple figure is the image while the blue figure is the preimage. If that's the case, then we've applied a 90 degree counterclockwise rotation to go from blue to purple.

Notice how angle AQA' is 90 degrees as shown by the green segments in the diagram below. So are BQB' and CQC' and DQD' as well.

We could also rotate the blue figure 270 degrees clockwise to arrive at the same purple image. Note how 90+270 = 360 which is a full circle.

(A) Circular orbits of stable particles are possible at radii greater than three times the Schwarzschild radius for the non-rotating spherically symmetric mass.

This represents the radius of a black hole's event horizon, within which nothing can escape. The Schwarzschild radius is the event horizon radius of a black hole with mass M.

M can be calculated using the formula: r+ = 2Mwhere r+ is the radius of the event horizon.

(B)  1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ R. This is the required expression.

Tau is the proper time of the particle moving around a circular orbit. Hence, by making use of the formula given above:1/2 M -1/2 3M (²) ¹² (1-³) dT = R³ dt.

(C) Time passes differently in different gravitational fields, and it follows that the period as measured at infinity should be larger than that measured by the particle.

The principle of equivalence can be defined as the connection between gravitational forces and the forces we observe in non-inertial frames of reference. It's basically the idea that an accelerating reference frame feels identical to a gravitational force.

(D) The period of the orbit as measured by an observer at infinity is 16π M^(1/2) and the period of the orbit as measured by the particle is 16π M^(1/2)(1 + 9/64 M²).

The period of orbit as measured by an observer at infinity can be calculated using the formula: T = 2π R³/2/√(M). Substitute the given values in the above formula: T = 2π (8M)³/2/√(M)= 16π M^(1/2).The period of the orbit as measured by the particle can be calculated using the formula: T = 2π R/√(1-3M/R).

Substitute the given values in the above formula: T = 2π (8M)/√(1-3M/(8M))= 16π M^(1/2)(1 + 9/64 M²).

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Answer:322.64 (I think)

Step-by-step explanation:

550-227.36=322.64

Answer:

what the other person said here

To answer this question we must carefully understand the scope of the numbers of the table.

* It represents the number of adults that listen to audiobooks or not. But not all adults, just the surveyed adults.

* Nothing is said about books, only about audiobooks.

Some of the choices are tricky. For example, second and fourth choices talk about books, so they must be discarded.

The third choice refers to all adults, but the table refers only to the 640 adults that were asked.

The first choice is the best question that can be answered using the table.

The value of m is 1/3.

To solve the equation 9²m⁻¹ × 9⁵ = 9m², we can simplify the equation and solve for the value of m.

Let's simplify the equation step by step:

9²m⁻¹ × 9⁵ = 9m²

Expanding the exponents:

(9²)(9⁵)(m⁻¹) = 9m²

Simplifying the exponents:

9^(2+5)(m⁻¹) = 9m²

Using the property\(a^{(m+n)\)= \(a^m \times a^n\):

9^7(m⁻¹) = 9m²

Applying the power of 9⁷:

9m⁻¹ = 9m²

Dividing both sides by 9m⁻¹:

1 = 9m²/m⁻¹

Dividing with the same base and different exponents, we subtract the exponents:

1 = \(9m^{(2-(-1))\)

Simplifying the exponents:

1 = 9m³

Now, we can solve for m by isolating it on one side of the equation:

m³ = 1/9

Taking the cube root of both sides:

m = ∛(1/9)

The cube root of 1/9 is the same as raising 1/9 to the power of 1/3:

m = \((1/9)^{(1/3)\)

Simplifying the cube root:

m = 1/3

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The average residential electrical power use refers to the amount of electrical energy consumed by households. It is typically measured in hundreds of watts per hour. By examining the provided table, you can identify the specific values for average power consumption in a residential setting.

According to the given table, the average residential electrical power use is measured in kilowatt-hours (kWh) per month, not hundreds of watts per hour. However, to convert it to the requested unit, we can divide the monthly average by the number of hours in a month (720 hours) and then multiply by 100 to get the average residential electrical power use in hundreds of watts per hour.

So, for example, if the monthly average is 600 kWh, the hourly average would be (600 kWh / 720 hours) x 100 = 83.33hundreds of watts per hour.

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Answer:

C. Approximately normal

Step-by-step explanation:

We know that when we have,  np≥10, and  n(1−p)≥10, and both of these are true, where n is the sample size, and p is the sample of proportions, the sampling proportions of sample distributions, will be normal in shape.

Expected successes : np=125(0.88)=110≥10

Expected failures : n(1−p)=125(1−0.88)=15≥10

Answer:

61 z ^2 + 121 z − 612

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

Let the number of green marbles be 'g'.

The probability of selecting a red marble before the number of green marbles is doubled is\($\frac{4}{g+4} * 100 = x\%$\)

The probability of selecting one of the four red marbles from the box after the number of green marbles is doubled is \($\frac{4}{2g+4} * 100 = (x - 15)\%$\)

Rearranging the equations and solving for g, we get:

\(\frac{4}{g+4} * 100 = x$\frac{4}{2g+4} * 100 = (x - 15)$$2g+4 = \frac{4}{x-15}$$g = \frac{4 - 4x + 60}{2x - 30}$\)

Therefore, the number of green marbles before the number of green marbles is doubled is \($\frac{4 - 4x + 60}{2x - 30}\)

The number of green marbles in the box before the number of green marbles is doubled is given by \($\frac{4 - 4x + 60}{2x - 30}$\\\), where x is the probability of selecting a red marble before the number of green marbles is doubled.

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Answer:

\(\%Off-Campus = 45.5\%\)

Step-by-step explanation:

Given

----------------------Dorms ---- Off-Campus ---- Total

Freshman -------- 88  ------  ---------12   ------- 100

Sophomore  ------62  ---------------38  --------- 100

Junior --------------43 -----------------  57  ---------- 100

Senior -------------25  -----------------75  ------------ 100

Total ---------------218 -------------182  --------------400

Required

Determine the percentage of off-campus students

From the above table, we have that:

\(Off-Campus = 182\)

\(Total\ Surveyed = 400\)

The percentage is then calculated as follows;

\(\%Off-Campus = \frac{Off-Campus}{Total-Surveyed} * 100\%\)

\(\%Off-Campus = \frac{182}{400} * 100\%\)

\(\%Off-Campus = 0.455 * 100\%\)

\(\%Off-Campus = 45.5\%\)

Hence, option C answers the question

Answer:

oh 45%

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

25 %

Step-by-step explanation:

Cost price = 60 Ghana cedis for 50 metres

Selling price = 1.50 cedis for 1 meter

x cedis for 50 meters

Cross multiply

Selling price = 75 cedis

Profit = Selling price - Cost price

75 - 60

Profit = 15

Profit % =

\( \frac{profit}{cost \: price} \times \frac{100}{1} \\ \frac{15}{60} \times \frac{100}{1} \\ \\ \)

Profit % = 25 %

There are 840 ways to six letters of ALGORITHM be written in a row with first two letters OR.

Given in the question:

The word ALGORITHM has 9 letters. We want them to be written in a row, which means, order of the letters are important, so, we will use Permutation.

Formula for Permutation:

P(n,r) = n!/(n-r)!

we will use 7 letters out of 9 letters and 4 letters

n= 7 and r = 4

Now, we will put values in the formula:

P(7,4) = 7! / (7-4)!

P(7,4) = 7! / 3!

P(7,4) = 7 × 6 × 5 × 4

= 840.

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Answer:

The line that represents a proportional relationship is y3 which is letter C in the Cartesian Plane

Explanation:

The line that goes through the origin of where x-axis and y-axis meet or intersect at the same point is called a proportional relationship

The number of candy bars that Beth has sold, given the total they have sold and the amount sold by Carly, is 125 candy bars

To find the number of candy bars that Beth has sold, you can assume that the amount of candy sold by Carly is denoted as x.

This means that the amount of candy bars sold by Beth is:

= 2x - 1

The total sold by both Beth and Carly is therefore:

= 2x - 1 + x

The number of candy bars sold by Carly is:

188 = 2x - 1 + x

188 = 3x - 1

3x = 188 + 1

x = 189 / 3

x = 63

This means that the candy bars sold by Beth is:

= 2 ( 63 ) - 1

= 126 - 1

= 125 candy bars

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The height of the building is approximately 44.1 meters.

To find the height of the building, we can use the equation of motion for an object in free fall:

h = (1/2) * g * t^2,

where h is the height, g is the acceleration due to gravity, and t is the time taken.

Given that the time taken for the ball to reach the ground is 3 seconds, and the acceleration due to gravity is approximately 9.8 m/s^2, we can substitute these values into the equation to find the height:

h = (1/2) * 9.8 m/s^2 * (3 s)^2

h ≈ 44.1 meters.

Explanation:

When an object is dropped from a height, it experiences free fall due to the force of gravity. The height of the building can be determined by considering the time it takes for the ball to reach the ground.

Using the equation h = (1/2) * g * t^2, where h is the height, g is the acceleration due to gravity, and t is the time taken, we can solve for the height.

Given that the time taken for the ball to reach the ground is 3 seconds, and the acceleration due to gravity is approximately 9.8 m/s^2 on Earth, we can substitute these values into the equation:

h = (1/2) * 9.8 m/s^2 * (3 s)^2

Simplifying the equation, we have:

h = 4.9 m/s^2 * 9 s^2

h = 44.1 meters

Therefore, the height of the building is approximately 44.1 meters.

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Answer:

Option C

Kindly award branliest

Step-by-step explanation:

Tn = n(n + 1)

T1 = 1(1 +1) = 1(2) = 2

T2 = 2(2+1) = 2(3) =6

T3 = 3(3 + 1) = 3(4) = 12

T4 = 4(4 + 1) = 4(5) = 20

... It obeys

The lengths of the third side of the triangles can be achieved by using the Pythagorean theorem, which says in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.

Three vertices make up the three-sided polygon known as a triangle. There is a point where the three sides are joined end to end.

A triangle's third side must always have a length that falls between (but not exactly equal to) the sum and difference of the other two sides. Consider the examples 2, 6, and 7 as an example. The third side length must therefore be greater than 4 and less than 8.

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The answer is (f) None of the above.

We can use the inclusion-exclusion principle to find the cardinality of the set A ∪ (B ∩ C). The formula is:

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C)

We are given the values of n(A), n(B), n(C), n(A ∩ B), n(B ∩ C), and n(C ∩ A) from the Venn diagram. We can use these values to find n(B ∪ C) and n(A ∩ B ∩ C) as follows:

n(B ∪ C) = n(B) + n(C) - n(B ∩ C)

n(A ∩ B ∩ C) = n(A) + n(B) + n(C) - n(A ∪ B) - n(B ∪ C) - n(C ∪ A) + n(A ∩ B ∩ C)

Substituting the values from the Venn diagram, we get:

n(B ∪ C) = 50 + 28 - 16 = 62

n(A ∩ B ∩ C) = 18 + 16 + 28 - 50 - 62 - 20 + 10 = 0

Therefore,

n(A ∪ (B ∩ C)) = n(A) + n(B) + n(C) - n(B ∪ C) - n(A ∩ B ∩ C) = 32 + 50 + 20 - 62 - 0 = 40

So the answer is (f) None of the above.

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Answer:

a=148.50

b=0.045

c=8

Step-by-step explanation:

i just took the quiz on edgeunity

All the value of variables are,

a = 148.50, b = 0.05, and c = 8

Now, For the values of a, b, and c in the table, we can use the formula for simple interest:

I = Prt

where I is the interest earned in dollars,

P is the principal in dollars,

r is the interest rate per year as a decimal, and t is the time in years.

Hence, By Using this formula, we can solve for the missing values in the table as follows:

For the first row, we have

P = 3300, r = 0.045, and t = 1.

We can plug in these values and the given value of a = into the formula to solve for a:

a = Prt

a = 3300 x 0.045 x 1

a = 148.50

Therefore, a = 148.50 for the first row.

For the second row, we have P = 3300, t = 3, and I = 445.50.

We can plug in these values and solve for r:

I = Prt

445.50 = 3300 x r x 3

r = 0.05

Therefore, b = 0.05 for the second row.

For the third row, we have P = 3300, t = 7, and I = 1039.50. We can plug in these values and solve for r:

I = Prt

1039.50 = 3300 x r x 7

r = 0.045

Therefore, c = 7 for the third row.

For the fourth row, we have P = 3300, t = c, and I = 1188.00. We can plug in these values and solve for c:

I = Prt

1188.00 = 3300 x 0.045 x c

c = 8

Therefore, c = 8 for the fourth row.

Thus, we have a = 148.50, b = 0.05, and c = 8 to complete the table.

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