Which solid has the net shown?

A Triangular prism
B Rectangular prism
C Triangular pyramid ​

Answer:

x = -1 ± 2i

Step-by-step explanation:

Quadratic Formula: \(x = \frac{-b+/-\sqrt{b^2-4ac} }{2a}\)

√-1 = i

Step 1: Factor GCF

3(x² + 2x + 5)

Step 2: Use quadratic formula

a = 1

b = 2

c = 5

\(x = \frac{-2+/-\sqrt{2^2-4(1)(5)} }{2(1)}\)

\(x = \frac{-2+/-\sqrt{4-20} }{2}\)

\(x = \frac{-2+/-\sqrt{-16} }{2}\)

\(x = \frac{-2+/-i\sqrt{16} }{2}\)

\(x = \frac{-2+/-4i }{2}\)

\(x = \frac{-2(-1+/-2i) }{2}\)

x = -1 ± 2i

The final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

For the stated question-

Let initial enrollment = 100.

After one decade, the enrollment added 30% of the initial.

Thus,

= 100 + 30% of 100

= 100 + 130

= 130

Thus, the final enrollment after one decade is obtained by taking the 30% of the initial enrollment.

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The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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The common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x.

The Maclaurin series for h(x) = 1/(1-x) is an infinite geometric series with the general term given by:

h(x) = x⁰ + x¹ + x² + x³ + ...

The nth order Maclaurin series for h(x) = 1/(1-x) is the sum of the first n terms of this infinite series. The common ratio of a geometric series is the ratio of any term to the previous term.

In this case, each term is the previous term multiplied by x, so the common ratio is x.

It's important to note that the Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero, in this case, when x is zero, the function becomes 1/(1-0) = 1, the function is equal to 1 when x=0.

In conclusion, the common ratio of the geometric series produced by the nth-order Maclaurin series for h(x) = 1/(1-x) is x. It's the ratio of any term to the previous term, and it's the same for all the terms in the series.

The Maclaurin series is a type of Taylor series that is used to approximate a function and it's useful when the function is evaluated at zero.

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Answer:

A) 12

You know:

AB= 3x

AB= 3xAC= 17

AB= 3xAC= 17BC= 2x-3

Therefore, you can put the values in a number line for reference. By doing this you can see that 3x + 2x -3 (or AB +BC) = 17 (or AC)

From here you can set up the equation to be:

17 = 2x - 3 + 3x

and solve for x by combining like terms:

17= 5x-3

adding 3 to both sides:

20=5x

dividing each side by 5:

20/5=5x/5

to get:

x=4

then, you're gonna plug in your x (4) into 3x (your AB) in order to solve for AB:

AB=3x

AB=3x =3(4)

AB=3x =3(4) =12

therefore, your answer is:

AB = 12

The odds a person has the disease they were tested for is 98% or 98:2.

Probability describes how likely is an event to happen by using a percentage from 0 to 100%. On the other hand, the odds focus on the rate between the specific outcome: other outcomes.

In this case, the specific outcome is to have the disease after being tested, which occurs 98% of the time. This implies only the 2% tested do not have the disease. Now, this relationship can be expressed as:

98: 2

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Answer:

3

Step-by-step explanation:

As it's a parallelogram the cross splits each diagonal exactly in half, so each half is the same:

-9-6x = x-30

7x=21

x=3

Answer:

connect ideas

Hope this helps! :D

May I please have brainiest?

Yes, the conditions for inference are met. The teacher conducts 50 trials, which is large enough to meet the large counts condition (np ≥ 10 and n(1-p) ≥ 10).

The teacher's attempt to make the number cube unfair by inserting lead weights raises the question of whether the proportion of rolls that will land on a 1 has changed. To determine if she was successful, the teacher rolls the cube 50 times and keeps track of the number of times she rolls a 1. The data shows that she rolled a 1 15 times.

To determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth, we need to check if the conditions for inference are met.

The 10% condition requires that the sample size is less than 10% of the population size. Since we do not know the population size, we cannot determine if this condition is met.

The large counts condition requires that both the number of successes (15) and the number of failures (35) are greater than or equal to 10. This condition is met.

The randomness condition requires that the sample is random. Since the teacher rolled the cube, it is assumed that the rolls were random.

Therefore, the conditions for inference are met. We can use a hypothesis test to determine if the data provides convincing evidence that the proportion of rolls that will land on a 1 is greater than one-sixth.

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it's b it's b it's b

Step-by-step explanation:

I know I know

Step-by-step explanation:

as a big spoiler : pi is an universal constant. it is the same for every circle, every round object, for circumference, areas, surfaces and volumes.

the formula for a circle circumference :

2×pi×r

the radius is half of the diameter, or the diameter is twice the radius.

so, we have for circle A

pi×9 = 28.26

pi = 28.26/9 = 3.14

and for circle B

pi×5 = 15.7

pi = 15.7/5 = 3.14

the formula for the circle area is

pi×r²

so, for circle A

pi×(9/2)² = 63.585

pi×81/4 = 63.585

pi×81 = 254.34

pi = 254.34/81 = 3.14

for circle B we get

pi×(5/2)² = 19.625

pi×25/4 = 19.625

pi×25 = 78.5

pi = 78.5/25 = 3.14

as mentioned, pi is always the same. it is a natural, universal constant.

The elements in set A are the solutions to the quadratic equation x² = 4, hence:

{x = -2, x = 2.}

Set A has the description given as follows:

A = {x : x² = 4.}

Meaning that the elements of set A are the values of x for which x² = 4.

Then we have to solve the following quadratic equation:

x² = 4.

The coefficient b of the quadratic equation is of zero, that is, it has no term multiplying x, hence the variable x can be isolated applying the square root to both sides as follows:

sqrt(x²) = sqrt(4)

x = ± 2.

The plus minus symbol is because:

Both numbers squared result in 4, hence the elements of set A are:

{x = -2, x = 2.}

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Step (1)

\((6w - 7) + (3x + 8) = 142\)

\(6w + 3x - 7 + 8 = 142\)

\(6w + 3x + 1 = 142\)

Subtract sides -1

\(6w + 3x + 1 - 1 = 142 - 1\)

\(6w + 3x = 141\)

Divided sides by 3

\( \frac{6}{3}w + \frac{3}{3}x = \frac{141}{3} \\ \)

\(2w + x = 47\)

I call above equation (( Ω ))

_________________________________

Step (2)

\(180 - 142 = 38\)

We have :

\((6w - 7) + 38 = (10w - 9)\)

\(6w - 7 + 38 = 10w - 9\)

\(6w + 31 = 10w - 9\)

Subtract sides -6w

\(6w - 6w + 31 = 10w - 6w - 9 \\ \)

\(31 = 4w - 9\)

Plus sides 9

\(31 + 9 = 4w - 9 + 9\)

\(40 = 4w\)

Divided sides by 4

\( \frac{40}{4} = \frac{4}{4}w \\ \)

\(w = 10\)

_________________________________

Do u remember (( Ω )) ?

Of course u do...

\(2w + x = 47\)

\(2(10) + x = 47\)

\(20 + x = 47\)

Subtract sides -20

\(20 - 20 + x = 47 - 20\)

\(x = 47 - 20\)

\(x = 27\)

_________________________________

And we're done.....♥️♥️♥️♥️♥️

Answer:

187.96cm

Step-by-step explanation:

first convert 6 feet to cm=182.88

then convert 2 inches to cm=5.08

add your answers together=187.96

The required probabilities are 0.2559, 0.4251, 0.3790, 0.6371, 0.9826, and 0.2514 respectively.

a. To compute P(0 ≤ z ≤ 0.65), we need to find the area under the standard normal curve between 0 and 0.65. Using a standard normal table or a calculator, we find that P(0 ≤ z ≤ 0.65) is approximately 0.2559.

b. To compute P(-1.44 ≤ z ≤ 0), we need to find the area under the standard normal curve between -1.44 and 0. Using a standard normal table or a calculator, we find that P(-1.44 ≤ z ≤ 0) is approximately 0.4251.

c. To compute P(z > 0.31), we need to find the area under the standard normal curve to the right of 0.31. Using a standard normal table or a calculator, we find that P(z > 0.31) is approximately 0.3790.

d. To compute P(z ≥ -0.35), we need to find the area under the standard normal curve to the right of -0.35. Since the standard normal distribution is symmetric, we can also find the area to the left of -0.35 and subtract it from 1. Using a standard normal table or a calculator, we find that P(z ≥ -0.35) is approximately 0.6371.

e. To compute P(z < 2.11), we need to find the area under the standard normal curve to the left of 2.11. Using a standard normal table or a calculator, we find that P(z < 2.11) is approximately 0.9826.

f. To compute P(z ≤ -0.67), we need to find the area under the standard normal curve to the left of -0.67. Using a standard normal table or a calculator, we find that P(z ≤ -0.67) is approximately 0.2514.

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Answer:

3x+1

Step-by-step explanation:

(2x+x+3+6x)/3

9x+3/3

3x+1

The final result is a simplified algebraic expression 3x + 1 that represents the average of 2x, x + 3, and 6x.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The average of 2x, x + 3, and 6x can be represented by the algebraic expression (2x + (x + 3) + 6x)/3.

This expression takes the sum of 2x, x + 3, and 6x, and then divides that sum by 3, which is the number of terms being averaged.

Alternatively, the average can be represented by (2x + x + 6x + 3) / 3 = (9x + 3) / 3 = 3x + 1.

In either case, the final result is a simplified algebraic expression that represents the average of 2x, x + 3, and 6x.

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SSR represents the amount of variation in Y that is explained in regression analysis.

It is also known as the sum of squares due to regression, which measures the difference between the predicted values and the actual values of the dependent variable (Y).

The higher the value of SSR, the better the fit of the regression line to the data. This is because a higher SSR indicates that more of the variation in Y is being explained by the independent variable (X).

Therefore, the correct answer to the multiple choice question is "The amount of variation in Y that is explained."

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You can put 14 boxes of candy weighing 3/4 lb each in the bin.

To determine how many 3/4 lb boxes of candy can fit in a bin, we divide the total weight of the bin by the weight of each box.

First, let's convert the mixed number 10 1/2 lbs to an improper fraction.

10 1/2 lbs = (10 * 2 + 1) / 2 = 21/2 lbs

Next, we divide the total weight of the bin (21/2 lbs) by the weight of each box (3/4 lb):

(21/2 lbs) / (3/4 lb) = (21/2) * (4/3) = (21 * 4) / (2 * 3) = 84/6 = 14

As a result, you can fill the bin with 14 boxes of sweets that each weigh 3/4 lb.

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Answer:

3.94*10^7

Step-by-step explanation:

Answer:

3.94 * 10^7

Step-by-step explanation:

:]

While the study found an association between diet soda and weight gain, it does not necessarily mean that it causes weight gain. There could be other explanations for this association.

One possible explanation is that people who are already overweight or at risk of gaining weight are more likely to consume diet soda to control their calorie intake. These individuals may also be more likely to engage in other behaviors contributing to weight gain, such as consuming high-calorie foods and engaging in a sedentary lifestyle.

Another explanation is that the artificial sweeteners used in diet soda may interfere with the body's natural ability to regulate calorie intake, leading to increased cravings for high-calorie foods and, ultimately, weight gain. However, more research is needed to understand the impact of artificial sweeteners on weight gain fully.

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Answer: C

Step-by-step explanation:

See the attached image.

The value of the parent function is f ( x ) = | x | and the transformed function is h ( x ) = 4 | x |

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the parent function be represented as f ( x )

Now , the value of f ( x ) = | x |

Let the transformed function be represented as h ( x )

Now , the value of h ( x ) = 4 | x |

So , the function is vertically stretched by a factor of 4

And , the transformed function is plotted in the graph

Hence , the transformed function is h ( x ) = 4 | x |

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Answer:

To begin to answer this question, you will want to determine the equation for the volume of a rectangular prism. In this case, the equation is length times width times height or:

V = l * w * h

In the question, you are given several pieces of information that you can then plug into the equation. For example, you know the volume is 21,904 ft3 because they tell you that directly. You also know that the pool is 8 feet deep. I consider the depth to be the same as the height. With that information, you now have the equation:

21,904 ft3 = l * w * (8ft)

You are also told that the length is 2 times the width. Written as an equation, you would say that

l = 2w

Now, you can substitute that 2w for l to get the equation:

21,904 ft3 = (2w) * w * 8ft

We know that when you multiply a variable times itself, you get a squared variable, so 2w * w = 2w2 and that

21,904 ft3 = 2w2 * 8ft

Now, you can solve the equation to find w. At this point, it is easiest to drop the units of feet on the numbers to do the math. As long as all your numbers are in the same units (i.e. feet), you are good to go. Start by dividing each side by 8 to get

2738 = 2w2

Then divide both sides by 2 to get

1369 = w2

Finally, for this portion, take the square root of 1369 to get

w = 37 feet.

But you're not done yet. You know the width, and you know that l = 2w. Plug the value for w (37) into this equation to get the length, which is 74 feet.

The final answer is that the width of the pool is 37 feet and the length is 74 feet.

You can check your answer by plugging the length, width, and height (depth) into the equation for volume to see if you get 21,904ft3.

If you take 8 ft x 37 ft x 74 ft, you get 21,904 ft3 and you know that you answer is correct.

Step-by-step explanation:

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Functions.

so after plotting the graphs, we get as,

==> m = 2.5

==> b = 0

==> y = mx+c

a straight line

Answer:

your answer is, because i got it right your welcome

Step-by-step explanation:

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

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Given:

Y-intercept of exponential function is 8.

It contains the point (3,64).

To find:

The exponential function that describes the graph.

Solution:

The general form of an exponential function is

\(y=ab^x\)      ...(i)

where, a is initial value or y-intercept and b is growth factor.

Since, y-intercept is 8, therefore, a=8.

Put a=8 in (i).

\(y=8b^x\)         ...(ii)

It contains the point (3,64). Put x=3 and y=64.

\(64=8b^3\)

Divide both sides by 8.

\(\dfrac{64}{8}=b^3\)

\(8=b^3\)

\(2^3=b^3\)

On comparing both sides, we get

\(b=2\)

Put b=2 in (ii).

\(y=8(2)^x\)

The functions form of this equation is

\(f(x)=8(2)^x\)

Therefore, the required function is \(f(x)=8(2)^x\).

Answer: Do you have a picture

Step-by-step explanation:

Two tracking stations are on the equator 173 miles apart. A weather balloon is located on a bearing of N36°E from the western station and on a bearing of N18°W from the eastern station using vector addition.

The balloon is 124.56 miles rounding to the nearest mile is option D)164 miles from the western station using vector addition.

To solve this problem, we can use the concept of vector addition. Let's denote the distance from the western station to the balloon as "x" miles.

We can split the distance between the tracking stations into two segments. The northern segment from the western station to the balloon and the southern segment from the balloon to the eastern station. The sum of these two segments should be equal to the total distance of 173 miles.

Using basic trigonometry, we can determine the lengths of the segments:

In the northern segment:

sin(36°) = (x) / (173)

x = 173 * sin(36°) ≈ 103.87 miles

In the southern segment:

sin(18°) = (173 - x) / (173)

173 - x = 173 * sin(18°) ≈ 48.44 miles

x ≈ 173 - 48.44 ≈ 124.56 miles

Therefore, the balloon is approximately 124.56 miles away from the western station. Rounding to the nearest mile, the correct answer is D) 164 miles.

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The answers for regression and median related questions are -

1. Option D

2. Option D

3. Option A

4. Option D

What is median?

In mathematics, the middle number in a sorted list of numbers is referred to as the median. By arranging the numbers, the middle number can be discovered. Ascending order is used to arrange the numbers. The middle number in the ordered set of numbers is referred to as the data set's median.

In a two by two study, what is the Mean Squared Within (MSW)?

Answer: The pooled estimate of the variances within the cells.

How is regression variance measured?

Answer: Regression variance is based on the source of the variation, the residual, and the sample size.

What is the distance in the Y direction from a point to the regression line called?

Answer: Residual.

Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?

Answer: MEDIAN(C1:C34).

Therefore, the answers are obtained.

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1. In a two by two study, what is the Mean Squared Within (MSW)?

Select an answer:

the pooled estimate of the variances within the columns

the pooled estimate of the variances within the row and column interactions

the pooled estimate of the variances within the rows

the pooled estimate of the variances within the cells

2. How is regression variance measured?

Select an answer:

Regression variance is based on the sum of squares total of the mean residuals.

Regression variance is based on differences between predicated data points and the mean of y.

Regression variance is based on the mean squared, and is equal to the sum of the squared deviations.

Regression variance is based on the source of the variation, the residual, and the sample size.

3. What is the distance in the Y direction from a point to the regression line called?

Select an answer:

residual

sample

variance

interaction

4. Your data is in the range C1 through 34. In Excel, how will you calculate the median for this data?

Select an answer:

MEDIAN(C1*C34)

MEDIAN_FUNC(C1:C34)

MED(C1:C34)

MEDIAN(C1:C34)

Answer:

8

Step-by-step explanation:

Mean: The sum of all numbers divided by the amount of numbers.

-----------------------------------------------------------------------------------------------

11 + 3 + 9 + 12 + 2 + 11 = 48 divided by 6 equals 8

Answer: 8

Step-by-step explanation:

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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\(\boxed{\sf \sum _{n=1}^{20}\:4\left(\frac{8}{9}\right)^{n-1}}\)

       Identify the following:

\(\rightarrow \quad \sf S_n = \dfrac{a(r^n - 1)}{r-1}\)

\(\rightarrow \sf S_{20} = \dfrac{4(\dfrac{8}{9}^{20} - 1)}{\dfrac{8}{9} -1} \quad\overset{simplify}{\longrightarrow} \quad \dfrac{4\left(9^{20}-8^{20}\right)}{3^{38}} \quad \xrightarrow{\text{In \ Decimals} }\quad 32.58609013\)

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of \( x + 3 \), therefore,

Perimeter of the square = \( 4(x + 3) \)

\( = 4x + 12 \).

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = \( 8(3x) \)

= \( 24x \)

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

\( 24x = 4x + 12 \)

Subtract 4x from each side

\( 24x - 4x = 12 \)

\( 20x = 12 \)

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.