Determine the value of the power 1^5

Determine the value of the power 4^7

Determine the value of the power 3^10

WHICH OF THESE DO NOT DESCRIBE THE NUMBER 1024

A: 4^5
B: 32^2
C: 2^9
D: 1024^1

Finally, how would you convince someone that x^3 could be a lot more than x^2 but could it also be the only a little more than or even the same as x^2?

Answer:

50°

Step-by-step explanation:

We assume that lines c and d are parallel.

m<1 = 130

m<2 = 50 since angles 1 and 2 are supplementary.

m<6 = m<2 since angles 2 and 6 are corresponding angles of parallel lines.

m<6 = 50°

Answer: 50°

A design that has two conditions with different participants in each condition is independent groups design. Hence option a) independent groups design is correct.

The student question refers to a design where there are two conditions with different participants in each condition.

An independent groups design, also known as a between-subjects design, involves comparing two or more groups of participants who are not the same individuals.

In this type of design, each participant is exposed to only one level of the independent variable.

The groups are formed independently of each other, and any differences between them can be attributed to the manipulation of the independent variable.

An independent groups design: Identify the research question and the independent variable. Form two or more groups of participants, ensuring that they are independent of each other.

Manipulate the independent variable for each group, ensuring that each participant is exposed to only one level of the variable.

Option b is wrong because repeated measures design involves testing the same participants under different conditions or at different times.

Option c is wrong because solomon four-group design is a complex design involving four groups with two groups receiving a pretest, and two groups not receiving a pretest.

Option d is wrong because the pretest-posttest design involves assessing participants before and after a treatment or intervention.

The correct option is a) independent groups design.

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Answer:

432

Step-by-step explanation:

Hope this helps!

Graphs can be used to model real-world situations

Segment 8

From the graph (see attachment), we have the following observations

The above points imply that:

Fans are leaving the arena at segment 8

Segments 5 and 7

From the graph, segments 5 and 7 are horizontal lines.

This means that:

No entry or exit was observed by the fans, at segments 7 and 5

Segment 6

Segment 6 connects segments 5 and 7, with a short downward line

This means that:

Few people left the arena, at segment 6

See attachment for the graph

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A 94.6 L gasoline with a density of 0.680 g/cm^3 has a mass of 64328 g.

Density is defined as the ratio between the mass of a substance and the volume it occupies. Denoted by ρ, density is mass per unit volume and the formula is given below:

ρ =  mass / volume

Converting first the volume from L to cm^3.

1 L = 1000 cm^3

94.6 L = 94.6(1000 cm^3)

94.6 L = 94,600 cm^3

Given the density of the gasoline and its volume, solve for the mass of the gasoline using the formula for the density.

ρ =  mass / volume

0.680 g/cm^3 = mass / 94,600 cm^3

mass = 0.680 g/cm^3 (94,600 cm^3)

mass = 64328 g

mass = 64.328 kg

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To rewrite the expression 1 - cos^2(theta) without using absolute values for the given values of theta (2.5 < theta < 3), we can utilize the trigonometric identity for cosine squared:

cos^2(theta) = 1 - sin^2(theta)

Now, let's substitute this identity into the expression:

1 - cos^2(theta) = 1 - (1 - sin^2(theta))

= 1 - 1 + sin^2(theta)

= sin^2(theta)

Therefore, for the given range of theta (2.5 < theta < 3), the expression 1 - cos^2(theta) is equivalent to sin^2(theta).

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Answer:

The items can be equally shared between 45 students.

Each student will get 3 pens, 5 books and 7 copies.

Step-by-step explanation:

We have to find the GCF (Greatest common factor) of 135 , 225 and 315.

          135 = 5 * 3 * 3 * 3 = 45 * 3

          225 =  5 * 5 * 3 * 3 = 45 * 5

          315 =  5 * 3 * 3 * 7 =  45 * 7

GCF = 5 * 9 = 45

The items can be equally shared between 45 students.

Each student will get 3 pens, 5 books and 7 copies.

The elevator finally stopped on the 16th floor.

So, the expression would be:

Now,

Therefore, the elevator finally stopped on the 16th floor.

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A function f for f'(0) = 3 it means that the slope of the line tangent to the point x = 0 is 3.

Function:

In mathematics, a function from a set X to a set Y assigns each element of X to exactly one element of Y.  The set X is called the domain of the function and the set Y is called the codomain of the function

As a set of inputs with one output for each, a function is defined as a relationship between them. A function, expressed simply, is an association between inputs where each input is connected to one and only one output.

when it says something like f(1) = 0 it means that when x = 1, y = 0

so we know one point on the graph is (0,0)

When it says something like f'(0) = 3 it means that the slope of the line tangent to the point x = 0 is 3

Complete Question:

Sketch the graph of a function f for which f(0)=0, f'(0)=3, f'(1)=0, f'(2)=-1

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Answer: square 105

Step-by-step explanation: Confirming answer

A radical expression is an expression containing a square root, mostly a square root.

The value of √3.√5.√7 in radical form is √105.

A radical expression is an expression containing a square root, mostly a square root.

We have,

√3.√5.√7

We can multiply the numbers together.

= √(3 x 5 x 7 )

= √(15 x 7)

= √105

Thus the value of √3.√5.√7 in radical form is  √105.

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Answer:

  7360 ft·lb

Step-by-step explanation:

You want the work done by a 320-lb gorilla climbing to a height of 23 feet.

Work is the product of force and distance:

  W = (weight)·(height) = (320 lb)(23 ft) = 7360 ft·lb

The gorilla does 7360 ft·lb of work.

__

Additional comment

Time comes into play when you want the power involved. If the climbing is done in 10 seconds, the power required is about 1.34 horsepower. (1 hp = 550 ft·lb/s)

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Answer: the mean of the data set is 4.8, and the standard deviation is about 1.94. The answer is C.

Step-by-step explanation:

To find the mean and the standard deviation of the data set {2, 3, 6, 7, 6}, we can use the following formulas:

Mean = (sum of all data values) / (number of data values)

Standard deviation = sqrt[(sum of squared differences from the mean) / (number of data values)]

First, we need to find the mean:

Mean = (2 + 3 + 6 + 7 + 6) / 5

Mean = 4.8

Next, we can find the standard deviation:

Calculate the differences between each data value and the mean:

2 - 4.8 = -2.8

3 - 4.8 = -1.8

6 - 4.8 = 1.2

7 - 4.8 = 2.2

6 - 4.8 = 1.2

Square each difference:

(-2.8)^2 = 7.84

(-1.8)^2 = 3.24

(1.2)^2 = 1.44

(2.2)^2 = 4.84

(1.2)^2 = 1.44

Find the sum of the squared differences:

7.84 + 3.24 + 1.44 + 4.84 + 1.44 = 18.80

Divide the sum by the number of data values:

18.80 / 5 = 3.76

Take the square root:

sqrt(3.76) = 1.94 (rounded to two decimal places)

Therefore, the mean of the data set is 4.8, and the standard deviation is about 1.94. The answer is C.

Answer:

Q = 61.56°

Step-by-step explanation:

cos ∅ = adjacent/hypotenuse

cos Q = 10/21

cos Q = 0.4762

Q = 61.56°

Answer:

(- 3, 1 )

Step-by-step explanation:

Given the 2 equations

2x - 2y = - 8 → (1)

x + 2y = - 1 → (2)

Adding the 2 equations will eliminate the y- term, that is

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (2)

- 3 + 2y = - 1 ( add 3 to both sides )

2y = 2 ( divide both sides by 2 )

y = 1

Solution is (- 3, 1 )

Answer:

-3,1

Step-by-step explanation:

Answers:

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

Explanation:

BC = 78 is parallel to the midsegment DE.

This parallel midsegment is half as long as BC, so DE = BC/2 = 78/2 = 39

-------

DF = 34 doubles to AB = 2*DF = 2*34 = 68, since the midsegment is half as the parallel side, so we just think in reverse of that process.

-------

BE = 34 for two reasons

--------

We don't use the info that AC = 48.

Answer:

C

Step-by-step explanation:

I hope my answer help you.

Answer:

120:105

Step-by-step explanation:

8 x 15 = 120

7 x 15 = 105

Answer:

The roots are real and distinct.

Step-by-step explanation:

Given the following equation:

\(x^{2} + kx - k -2 =0\)

In this problem, a = 1, b = k and c = -k - 2

The discriminant is b² - 4ac, and for the roots to be real and distinct, it must be at least or greater than 0.

We get,

(k)²- 4(1)(-k - 2) = 1 - 4(-k - 2)

= k² + 4k + 8

Let's check:

At k = -2,

\((-2)^{2} + 4(-2) + 8 = 4 - 8 + 8 = 4 \)

At k = 0,

\((0)^2 + 4(0) + 8 = 8 \)

At k = -100,

\((-100)^2 + 4(-100) + 8 = 10,000 - 400 + 8 = 9608\)

Therefore, we can conclude that for all values of k, the roots are real and distinct.

This has been a long way in answering this question, so it would be great if you could mark me as brainliest

In a given year, an economy has 10 million unemployed workers and 120 million employed workers. This information provides a snapshot of the labor market and indicates the number of individuals who are currently without jobs and those who are employed.

The information states that in the given year, there are 10 million unemployed workers and 120 million employed workers in the economy. This data provides a measure of the labor market situation at a specific point in time.

Unemployed workers refer to individuals who are actively seeking employment but currently do not have a job. The number of unemployed workers can be an important indicator of the health of an economy and its ability to provide job opportunities.

Employed workers, on the other hand, represent individuals who have jobs and are currently working. The number of employed workers indicates the size of the workforce that is actively contributing to the economy through productive activities.

By knowing the number of unemployed and employed workers, policymakers, economists, and analysts can assess factors such as labor market conditions, unemployment rates, and workforce participation rates. This information is crucial for formulating policies, understanding economic dynamics, and monitoring the overall health and functioning of the economy.

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Answer:

interest rate = P * T * R / 100

or, 3920 = 7000 * 7 /100

or, 3920 = 490

therefore, interest rate = 3430

When the assumption in the Fixed Effects regression, which states that the covariance between the error terms (uit, uis) and the covariates (xit, xis) is zero for t ≠ s, is violated, the correct statement among the options provided is:

A) Using heteroskedastic-robust standard errors is not sufficient for correct statistical inference when using OLS.

The violation of the assumption leads to a situation called "clustered errors" or "within-group correlation." In this case, the ordinary least squares (OLS) estimator remains consistent, but the standard errors estimated by OLS become biased. Using heteroskedastic-robust standard errors addresses heteroskedasticity in the error terms but does not correct for the within-group correlation.

To obtain correct statistical inference in the presence of within-group correlation, researchers typically employ cluster-robust standard errors or adjust the standard errors using cluster-robust variance estimators.

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Answer:

4/3

12

44/30

Step-by-step explanation:

2/5:3/10

=2/5*10/3

=20/15

=4/3

1/2:1/4:1/6

=1/2*4/1*6/1

=4/2*6/1

=24/2

=12

2⅕:1¼:1⅕

11/5:5/4:6/5

=11/5*4/5*5/6

=44/25*5/6

=220/150

=44/30

Hope this helps ;) ❤❤❤

The standard deviation for this Gaussian random variable is approximately 5.09.

Standard deviations are a measure of the spread of data around the mean. The standard deviation is the square root of the variance of a dataset. It is the most commonly used measure of spread and is a measure of how the individual data points deviate from the mean. A low standard deviation indicates that the data points tend to be close to the mean, while a high standard deviation indicates that the data points are spread out over a wider range of values.

This is calculated by finding the square root of the variance of the random variable, which is the difference between the mean and the probability given:

Variance = (60 - 0.382)2 = 35.22

Standard deviation = √35.22 = 5.09

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a. The mean is 11.00 (correct)

b. The mean is 14.70 (incorrect)

c. The median (the 50th percentile) is 7.00 (correct)

d. The median (the 50th percentile) is 10.75 (incorrect)

5, 6, 7, 15, 22

The mean is calculated by adding up all the numbers and dividing by the total count:

Mean = (5 + 6 + 7 + 15 + 22) / 5 = 11

So option a. The mean is 11.00 is correct.

The median (the 50th percentile) is the middle number when the dataset is arranged in ascending order. Since we have an odd number of values, the median is the middle value itself.

So option d. The median (the 50th percentile) is 10.75 is incorrect.

The median of the dataset is 7 since it is the middle number when the dataset is arranged in ascending order.

So option c. The median (the 50th percentile) is 7.00 is correct.

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Answer:

Dina can run 12 miles in 90 minutes

Step-by-step explanation:

Since its 4 miles every 30 minutes, you would multiply 4 by 3 (since 30 x 3 = 90)

Hope this helped!

Answer:

A narrow majority of U.S. adults (53%) now describe their personal financial situation as excellent or good, up from 47% in April 2020. The share saying their finances are in only fair or poor shape now stands at 46%, compared with 52% earlier in the pandemic.

Step-by-step explanation:

it took her 10 minutes to fix

Answer:

50%

Step-by-step explanation:

rolling a six-sided die would have about 12 different outcomes

there are three numbers located on the die that are greater than 6, which are 4, 5, and 6

3/6 = 1/2 = 50%

since you are rolling the die twice, the total outcome will be calculated like this:

6/12 = 1/2 = 50%

so the probability will still be 50%

The volume of a cube with side length of 8 units is 512 units³.

A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

The faces of a cube are all equal.

Therefore,

volume of a cube = s²

where

Therefore, let's find the volume of a cube with side length of 8 units.

s = 8 units

Volume of the cube = 8³

Volume of the cube = 8 × 8 × 8

Volume of the cube = 512 unit³

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