What is the value of x, given that the two prisms are similar?

Answer:

17%

Step-by-step explanation:

Again, as the amount of years increase, the population of bees gets multiplied by 0.83. We can rewrite this to 83%, and then again rewrite this to 100%-17%. We can see now that the population of bees decreases by 17% each year.

The equivalent operation is: b = (a < 5) ? 12 : (d = 30);

The original if/else statement is:

if (a < 5)

   b = 12;

else

   d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true (i.e., if the value of a is less than 5), then the statement b = 12; is executed. Otherwise, if the condition is false (i.e., if the value of a is greater than or equal to 5), then the statement d = 30; is executed.

The equivalent operation using the conditional (ternary) operator is:

b = (a < 5) ? 12 : d = 30;

In this statement, the condition (a < 5) is evaluated. If the condition is true, the value 12 is assigned to b. This is indicated by ? in the statement. The : separates the true and false cases.

If the condition is false (i.e., if the value of a is greater than or equal to 5), the value 30 is assigned to d. This is the value assigned after the : in the statement.

The ternary operator statement (a < 5) ? 12 : d = 30; achieves the same outcome as the original if/else statement, providing an alternative way to write the logic based on the condition a < 5.

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Answer:

3,262,680

Step-by-step explanation:

Hope this helps!

Answer:

2.6

Step-by-step explanation:

Make this an equation. 5x-4=9. Add 4 to both sides. 5x=13. Divide both sides by 5. x=2.6. So the number is 2.6.

Answer:

(-3^3 x 2/3)

(-3^2)

9

answer is 9

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A flexible budget is used to compare the budgeted costs and actual costs in a given period. It allows for adjustments based on the actual level of production or activity, providing a more accurate assessment of cost performance.

A flexible budget is a budgeting tool that adjusts the planned budget based on the actual level of activity or production achieved. It enables a comparison between the budgeted costs and the actual costs incurred during a period.

In the given scenario, Lannister Inc. initially planned to produce 198,000 units and estimated 99,000 direct labor hours. However, the actual production and direct labor hours were 192,000 units and 90,000 hours, respectively.

A flexible budget would compare the budgeted costs with the actual costs based on the actual level of production and direct labor hours. It allows for more accurate cost performance evaluation by incorporating the deviations in activity levels from the initial plan.

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Respuesta:

Motocicleta A = 0.082 litros por km

Motocicleta B = 0.089 litros por km

Explicación paso a paso:

Dado :

Consumo de gasolina de la motocicleta A y la motocicleta B por 100 km

Motocicleta A = 8.2 litros

Motocicleta B = 8,9 litros

Consumo por kilómetro:

Litros consumidos por 100 km / 100 km

Motocicleta A:

8.2 / 100 km

= 0,082 litros por km

Motocicleta B:

8,9 / 100 km

= 0,089 litros por km

The value of alpha is 0.025. The Z-value is 1.96. The P(z) is 0.5. The effect size is 0.05. The Sample size for the study is 384.

An area created using fixed-size samples of data from a population (sample space) that follows a certain probability distribution is known as a confidence interval. A selected population statistic is built into the interval with a specified probability. An estimate's level of uncertainty is described by a confidence interval, which is a range of numbers. The 68-95-99.7 Rule states that 95% of values lie within two standard deviations of the mean, hence to get the 95% confidence interval, you add and subtract two standard deviations from the mean.

Here,

All the calculations attached in image.

z= 1.96

p = 0.5

q = 1-p = 0.5

E = 0.05

sample size =

(z^2).(pq)=(1.96^2).(0.5)(.0.5)

384.16,

round up

n for study =385

Alpha has a value of 0.025. There is a 1.96 Z-value. P(z) equals 0.5. The impact factor is 0.05. The Sample size for the study is 384.

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SOLUTION

Step 1: Write out the standard form equation for a parabola.

Step 2: Now compare the equation in the option to the general form.

If you compare the other options, you will get different answers for the value of the vertex (-6,3)

So, therefore, the correct answer is A.

Answer:

Okay, here's the method I'm going to use.

If you drive north 6 miles, and then drive east 19 miles, you are technically making a triangle.

                    19 miles

           l_______________

6 milesl

           l

You are just missing the last side of the triangle: the straight line stretching from across your starting point to the ending point. You can find this by using the Pythagorean theorem.

a^2 + b^2 = c^2

6^2 + 19^2 = c^2

36 + 361 = c

397 = c

\(\sqrt{397}\) = 19.924859

Rounded to the nearest tenth, your answer is

19.9 miles

Let's solve each inequality separately:

x + 1 < 4

Subtracting 1 from both sides:

x < 3

x - 8 > -7

Adding 8 to both sides:

x > 1

Now, we need to find the intersection of the two solution sets, which is the set of values of x that satisfy both inequalities.

We have:

x < 3 and x > 1

Graphically, this represents the interval (1, 3) on the number line.

Therefore, the solution is:

O {x: 1 < x < 3}

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equation A

we have that

Its a vertical line

x=-4

equation B

Its a vertical line

x=4

equation C

Its a horizontal line

y=4

equation D

Its a horizontal line

y=-2

equation E

we need tow points to calculate the slope

we have the points (-4,4) and (4,-2)

the slope is equal to

m=(-2-4)/(4+4)

m=-6/8

m=-3/4

Find the equation of the line in slope intercept form

y=mx+b

we have

m=-3/4

point (4,-2)

substitute

-2=(-3/4)*(4)+b

solve for b

-2=-3+b

b=1

the equation is

y=(-3/4)x+1

The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.

Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.

By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.

Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.

This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.

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It will take the turkey about 3 hours to roast.

It is important for the researcher to control for these variables as much as possible and to use appropriate statistical methods to ensure that any observed differences in happiness levels between the groups can be attributed to pet ownership.

A matched-subjects design is a type of experimental design in which pairs of participants are matched on relevant variables, such as age, gender, or in this case, relationship status, and then randomly assigned to different groups.

In the case of this experiment, the researcher would first identify a group of single people who own pets and a group of single people who do not own pets. The two groups would then be matched on relevant variables, such as age, gender, income, and education level, to ensure that any differences in happiness between the groups can be attributed to pet ownership.

Once the groups are matched, the researcher would randomly assign each participant in each pair to either the pet-owning group or the non-pet-owning group. Then, the researcher would measure the happiness levels of all participants using a reliable and valid happiness scale.

To analyze the data, the researcher would use a statistical test, such as a t-test, to compare the mean happiness scores for the two groups. If the mean happiness score for the pet-owning group is significantly higher than the mean happiness score for the non-pet-owning group, then the researcher could conclude that single people with pets are happier than single people without pets.

It is important to note that there are potential confounding variables that could affect the results of this study. For example, people who choose to own pets may be different from those who do not own pets in other ways that could affect their happiness levels, such as being more social or having a higher income. Therefore, it is important for the researcher to control for these variables as much as possible and to use appropriate statistical methods to ensure that any observed differences in happiness levels between the groups can be attributed to pet ownership.

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Answer:

1/2 lb

Step-by-step explanation:

(1)1.75 + 3(3.75) - 4 = 23.5/4

23.5x/4 = 2.95

23.5x = 11.8

x = 0.5

Answer:

2lb

I don't know what to write here but this is the answer

Events A and B are considered independent if and only if the probability of their intersection (P(A ∩ B)) is equal to the product of their individual probabilities (P(A) * P(B)).

Independence: Two events A and B are independent if the occurrence or non-occurrence of one event does not affect the probability of the other event.

Joint Probability: The joint probability P(A ∩ B) represents the probability of both events A and B occurring together.

Multiplication Rule: According to the multiplication rule for independent events, if events A and B are independent, the probability of their intersection is equal to the product of their individual probabilities.

P(A ∩ B) = P(A) * P(B)

Interpretation: If the equation holds true, events A and B are considered independent since the probability of their intersection can be determined solely by multiplying their individual probabilities.

Dependence: If the equation does not hold true, it implies that the occurrence of one event affects the probability of the other event, indicating dependence between the two events.

In summary, the multiplication rule for independent events states that events A and B are independent if and only if P(A ∩ B) = P(A) * P(B).

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Answer:

See below

Step-by-step explanation:

Added as picture due some issue

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

Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

The height after the 18th month is 69 cm

The function definition is given as

H(m) = 51 + m

Where m represents the number of months

In this case;

m = 18

So, we have

H(18) = 51 + 18

Evaluate the sum

H(18) = 69

Hence, the height after the 18th month is 69 cm

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The exact value  of \(sin 2x\) is \(4√5/9.\)

Given that \(sec x = 3/2 and csc y = 3\)where x and y are in the 2x = 2 sin x quadrant, we need to find the exact value of sin 2x.

In the first quadrant, we have the following values of the trigonometric ratios:\(cos x = 2/3 and sin y = 3/5\)

Also, we know that sin \(2x = 2 sin x cos x.\)

Now, we need to find sin x.

Having sec x = 3/2, we can use the Pythagorean identity

\(^2x + 1 = sec^2xtan^2x + 1 = (3/2)^2tan^2x + 1 = 9/4tan^2x = 9/4 - 1 = 5/4tan x = ± √(5/4) = ± √5/2\)

As x is in the first quadrant, it lies between 0° and 90°.

Therefore, x cannot be negative.

Hence ,\(tan x = √5/2sin x = tan x cos x = √5/2 * 2/3 = √5/3\)

Now, we can find sin 2x by using the value of sin x and cos x derived above sin \(2x = 2 sin x cos xsin 2x = 2 (√5/3) (2/3)sin 2x = 4√5/9\)

Therefore, the exact value  of sin 2x is 4√5/9.

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Answer:

2 1/4

Step-by-step explanation:

18 fl oz= 2 1/4 or 2.25 cups

The value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

According to the given question.

We have an equation

2x + 2/y = 4w + 2

Since, we have to find the value of x for the given equation

2x + 2/y = 4w + 2

Thereofore,

2x + 2/y = 4w + 2

⇒ 2(x + 1)/y = 2(2w + 1)    (taking 2 common from both the sides)

⇒ (x + 1)/y = 2w + 1

⇒ (x + 1) = y(2w + 1)         (multiplying both the sides by y)

⇒ x + 1 = 2yw + y

⇒ x = 2yw + y - 1         ( subtracting 1 both the sides)

Hence, the value of x is 2yw + y - 1 for the given equation 2x + 2/y = 4w + 2.

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Answer:

Step-by-step explanation:

radius = 32 inches

angle = 60 degrees

Area of segment = 1/2 (60-sin(60)) *(32)^2 = 1/2 (60 - sqrt(3)/2) *(1024) = 598 sq inches

Answer:

pls resnap, i tried to zoom in but i can't see clearly

Answer:

2z and 4y

Step-by-step explanation:

We first have to use the second purchase to figure this out, if 4 bags of sand is $8. We have to divide 8 by 4, which we get $2. We use this to find the bags of pea gravel. Since you bought 3 bags, 3 times 2 is 6. We subtract 6 from 26 leading to 20 dollars. We also buy 5 bags of pea gravel so we have two numbers, 20 and 5. We divide 20 and 5 and we get 4 dollars for 1 bag of pea gravel. If this is not what you meant I apologise.

this is:

answer: E

The angle of elevation of the sun is 38.24 degrees (rounded to two decimal places).

The ratio of the height of the tree and the length of the shadow can be found by using the formula for tan which is given by:

tan(x) = (opposite/hypotenuse)

In the given problem statement, the height of the tree is opposite to the angle we are trying to find and the length of the shadow is the hypotenuse of the right-angled triangle. Therefore, we can say that:

tan(x) = opposite/hypotenuse = 86/110

We can use the inverse tangent function to find the value of x. This is because tan is the ratio of the opposite side (height of the tree) to the adjacent side (length of the shadow), and the inverse tangent function gives the angle that has that ratio.

So, tan x = 86/110 => x = tan⁻¹ (86/110) = 38.24 degrees (rounded to two decimal places). Therefore, the angle of elevation of the sun is 38.24 degrees.

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Answer:

the value of y+2 is 21+2=24y