is a letter or symbol that represents the unknown value (term)​

Answer:

B= 13

Step-by-step explanation:

10x-5= 180-(4x+3)

10x-5=180-4x-3

10x-5+3=180-4x

14x-2=180

14x= 180+2

14x= 182

x=182/14

x=13

Answer:

Watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

Step-by-step explanation:

Watermelon A is 2 kg lighter than watermelon B and 5 times lighter than watermelon C. This means that:

A = B - 2

and

A = C / 5 => C = 5A

Watermelons A and C together are 3 times heavier than watermelon B. This means that:

A + C = 3*B = 3B

Put C = 5A:

A + 5A = 3B

6A = 3B

=> B = 6/3 A = 2A

=> A = 2A - 2

=> 2A - A = 2

=> A = 2 kg

B = 2 * 2 = 4 kg

C = 5 * 2 = 10 kg

Therefore, watermelon A weighs 2 kg, watermelon B weighs 4 kg and watermelon C weighs 10 kg.

The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population

The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:

Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or

H0: p <= 0.47

Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or

Ha: p > 0.47

where p is the true proportion of college students who believe in extraterrestrial life.

In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.

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Answer:

The median is 33.5

Step-by-step explanation:

In order to solve for a median it would either be the middle or it would be the average of the middle if there are even amount of numbers. First you would put them in order. 12 17 28 31 36 54 55 and 71. This would mean the the middle number would be 31 and 36. Since you can't have two medians you would find the average of the two so add 31 and 36 which would be equal to 67 then divide by 2 which would equal to 33.5.

The median of numbers 17, 12, 54, 36, 71, 28, 31, 55 is 33.5.

The median of a set of numbers is the middle value when the numbers are arranged in ascending or descending order.

To find the median of the given numbers, we first need to arrange them in ascending order:

12 17 28 31 36 54 55 71

Since there are an even number of numbers (8), the median will be the average of the two middle values, which are 31 and 36.

To find the average, we add the two numbers and divide by 2:

(31 + 36) / 2 = 67 / 2 = 33.5

Therefore, the median of the given numbers is 33.5.

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Answer:

A 7:2

Step-by-step explanation:

Answer:

11x-8

Step-by-step explanation:

\(3(x - 2) + 2(4x - 1) \\ multiply \: inside \: the \: bracket \\ 3x - 6 + 8x - 2 \\ 11x - 8 \)

To find the values of a, b, and c that make the expression 3x/(x+2) + 4x/(x-2) equivalent to ax^2 + bx/x^2 + c, we need to simplify the given expression and compare it with the target expression.

First, let's simplify the given expression:

3x/(x+2) + 4x/(x-2)

To combine the fractions, we need a common denominator, which in this case is (x+2)(x-2):

[(3x)(x-2) + (4x)(x+2)] / [(x+2)(x-2)]

Expanding and combining like terms:

[(3x^2 - 6x) + (4x^2 + 8x)] / [(x+2)(x-2)]

(7x^2 + 2x) / [(x+2)(x-2)]

Now, let's compare this expression with the target expression ax^2 + bx/x^2 + c:

We can observe that a = 7, b = 2, and c = 0.

Therefore, the values for a, b, and c that make the expression 3x/(x+2) + 4x/(x-2) equivalent to ax^2 + bx/x^2 + c are:

a = 7

b = 2

c = 0

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Applying the angle addition theorem, the angle measures are:

m∠ABC = 134°

m∠CBD = m∠ABD = 67°

According to the angle addition theorem, the measure of angle  ABC = the sum of the measures of angles ABD and CBD.

We know the following as given:

m∠ABC = (25x + 34) degrees

m∠CBD = m∠ABD = (11x + 23) degrees

Line segment BD bisects angle ∠ABC.

Therefore, it means that the measure of angles ABD and CBD are equal.

A

Applying the angle addition theorem, we have equation below:

m∠ABC = 2(m∠CBD)

Substitute

25x + 34 = 2(11x + 23)

Solve for x

25x + 34 = 22x + 46

25x - 22x = - 34 + 46

3x = 12

3x/3 = 12/3

x = 4

m∠ABC = (25x + 34) = 25(4) + 34 = 134°

m∠CBD = m∠ABD = (11x + 23) = 11(4) + 23 = 67°

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Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the order of letter should resemble the same shape

Answer:

Huh?

Step-by-step explanation:

I don't get it.

Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

Measurement of Angle:

The measurement of angles is done using basic geometric tools such as protractors and compasses. This tool helps to find precise measurements of angles. A protractor helps provide accurate measurements of angles, while compasses help construct angles. Angles are measured in three ways: degrees, radians, and revolutions.

According to the Question:

Suppose the measure of angle is θ, then we have

   Sinθ = 22.8/24

⇒ Sinθ = 0.95

Therefore,

θ = Sin⁻¹ (0.95)

  = 71.8 degree.

Therefore, Serena leans a 24-foot ladder against a 22.8-foot-tall building to climb on the roof is 71.8 degree.

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Answer:

In Bag A, the ratio of red counters to yellow counters is 1 : 4. (ii) The number of counters in the two bags is the same.

Step-by-step explanation:

The value of the given triple integral is $\frac{\pi}{2}\left(1-e^{-16}\right)$.

In spherical coordinates, the volume element is $dV = \rho^2\sin\phi,d\rho,d\phi,d\theta$.

Using this, the given triple integral becomes:

\(∭��−(�sin⁡�)2(�cos⁡�)2�2�2sin⁡� �� �� ��∭ E​ e −(ρsinϕ) 2 (ρcosϕ) 2 ρ 2 ρ 2 sinϕdρdϕdθ\)

where $E$ is the region bounded by the spheres $x^2+y^2+z^2=1$ and $x^2+y^2+z^2=16$.

Converting the bounds to spherical coordinates, we have:

\(1≤�≤4,0≤�≤�,0≤�≤2�1≤ρ≤4,0≤ϕ≤π,0≤θ≤2π\)

Thus, the integral becomes:

\(∫02�∫0�∫14�−�2sin⁡2�cos⁡2��2sin\)

\(⁡� �� �� ��∫ 02π​ ∫ 0π​ ∫ 14​ e −ρ 2 sin 2 ϕcos 2 ϕ ρ 2\)

Since the integrand is separable, we can integrate each variable separately:

\(∫14�2�−�2 ��∫0�sin⁡� ��∫02���∫ 14​ ρ 2 e −ρ 2 dρ∫ 0π​\)

sinϕdϕ∫

02π dθ

Evaluating each integral, we get:

\(�2(1−�−16)2π​ (1−e −16 )\)

Therefore, the value of the given triple integral is $\frac{\pi}{2}\left(1-e^{-16}\right)$.

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Answer:

= 11/2

Step-by-step explanation:

pls mark brainliest

Answer:

40%

Step-by-step explanation:

Convert fraction (ratio) 40 / 100 Answer: 40%

The weighted-average unit contribution margin is $46.20.

The weighted-average unit contribution margin can be calculated by multiplying the unit contribution margin of each model by its respective sales mix percentage, and then summing up the results.

To find the weighted-average unit contribution margin, we first calculate the unit contribution margin for each model by subtracting the unit variable costs from the selling price:

For Model A12:

Unit contribution margin = Selling price - Unit variable cost

                     = $60 - $42

                     = $18

For Model B22:

Unit contribution margin = Selling price - Unit variable cost

                     = $120 - $84

                     = $36

For Model C124:

Unit contribution margin = Selling price - Unit variable cost

                     = $480 - $360

                     = $120

Next, we multiply each unit contribution margin by its respective sales mix percentage:

Weighted contribution margin for Model A12 = 60% * $18 = $10.80

Weighted contribution margin for Model B22 = 15% * $36 = $5.40

Weighted contribution margin for Model C124 = 25% * $120 = $30.00

Finally, we sum up the weighted contribution margins:

Weighted-average unit contribution margin = $10.80 + $5.40 + $30.00 = $46.20. Therefore, the weighted-average unit contribution margin is $46.20.

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Answer:

5. c = 13

6. b = 6

Step-by-step explanation:

Our equation is a^2 + b^2 = c^2

5. 144 + 25 = 169

Then square root 169

c = 13

6. 64 + b^2 = 100

b^2 = 36

b = 6

Answer:   30 / 6

                =5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

step by step explanation

The correct answer is  you will get approximately £1.30 for one Australian dollar.

To find out how many British pounds you will get for one Australian dollar, we need to determine the exchange rate between the British pound and the Australian dollar.

Given that £1 = US$1.11316 and A$1 = US$0.8558, we can calculate the exchange rate between the British pound and the Australian dollar as follows:

£1 / (US$1.11316) = A$1 / (US$0.8558)

To find the value of £1 in Australian dollars, we can rearrange the equation:

£1 = (A$1 / (US$0.8558)) * (US$1.11316)

Calculating this expression, we get:

£1 ≈ (1 / 0.8558) * 1.11316 ≈ 1.2992

Therefore, you will get approximately £1.30 for one Australian dollar.

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We are required to divide the fraction 4 and 2 over 3 divided by 3 and 1 over 2?

The answer is 14 over 3 times 2 over 7

Given:

4 and 2 over 3 divided by 3 and 1 over 2?

= 4 2/3 ÷ 3 1/2

= 14/3 ÷ 7/2

= 14/3 × 2/7

= (14 × 2) / (3 × 7)

= 28 / 21

= 4/3

A. 4 and 2 over 3 times 3 and 2 over 1 = 4 2/3 × 3 2/1

B. 14 over 3 times 2 over 7

= 14 / 3 × 2 / 7

C.b14 over 3 times 7 over 2

= 14 / 3 × 7 /2

D. 42 over 3 times 2 over 31

= 42 / 3 × 2 / 31

Therefore,

4 2/3 ÷ 3 1/2 = 4/3

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Answer:

1/7

Step-by-step explanation:

5/7 was already traveled so that leaves 2/7.

Thye traveled 1/2 of 2/7 so we multiply them.

1/2 x 2/7 = 2/14

We can simplify this by dividing both sides by 2.

1/7 is the final answer.

In order to meet the sample assumption associated with parametric statistics, the number of subjects needed depends on the specific statistical test being used. Generally, the rule of thumb is to have a minimum of 30 subjects in each group being compared.

However, this number may increase or decrease depending on factors such as the effect size, variability in the data, and the statistical power desired.

It is important to have enough subjects so that the data is normally distributed, and there is enough content loaded to meet the assumptions of the statistical test.

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The absolute maximum value of f(x) on the closed interval [-2, 4] occurs at x = -2 and x = 0, and the maximum value is 16. So the answer is option (e) -2.

To find the absolute maximum value of the function f(x) = x³ - 3x² + 12 on the closed interval [-2, 4], we need to evaluate the function at the critical points and at the endpoints of the interval, and then choose the largest value.

To find the critical points, we take the derivative of the function and set it equal to zero

f'(x) = 3x² - 6x = 3x(x - 2)

Setting f'(x) = 0 gives x = 0 and x = 2 as critical points.

Next, we evaluate the function at the critical points and at the endpoints of the interval

f(-2) = (-2)³ - 3(-2)² + 12 = 16

f(0) = (0)³ - 3(0)² + 12 = 12

f(2) = (2)³ - 3(2)² + 12 = 4

f(4) = (4)³ - 3(4)² + 12 = 4

Therefore, the correct option is (e) -2

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The absolute maximum value occurs at x = 4, with a value of 28. So, the answer is a) 4.

We occasionally encounter operations with hills and valleys. Hill and valley points in polynomial functions typically have many locations. We are aware that these places, which can be categorized as maxima or minima, are the function's critical points. The valley points are referred to as minimal and the hill points are as maxima. We must determine the locations of the function's global maxima and global minima, which are known as the minimum and maximum values, respectively, due to the fact that there are several maxima and minima.

To find the absolute maximum value of the function \(f(x) = x^3 - 3x^2 + 12\) on the closed interval [-2, 4], we need to examine the critical points and the endpoints of the interval.

First, find the critical points by taking the derivative of f(x) and setting it equal to 0:
\(f'(x) = 3x^2 - 6x\\0 = 3x^2 - 6x\\0 = 3x(x - 2)\)

The critical points are x = 0 and x = 2.

Next, evaluate the function at the critical points and the interval endpoints:

\(f(-2) = (-2)^3 - 3(-2)^2 + 12 = -8 - 12 + 12 = -8\\f(0) = 0^3 - 3(0)^2 + 12 = 12\\f(2) = 2^3 - 3(2)^2 + 12 = 8 - 12 + 12 = 8\\f(4) = 4^3 - 3(4)^2 + 12 = 64 - 48 + 12 = 28\)

The absolute maximum value occurs at x = 4, with a value of 28. So, the answer is a) 4.

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The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

See below.

Step-by-step explanation:

The closure property states that the sum of two polynomials is a  polynomial.

The commutative property states that changing the order of two or more terms  does not change the value of the sum.

The associative property states that the way in which two or more terms are grouped in a sum  does not change the value.

The blanks are filled below.

What are the properties of polynomial Addition ?

There are different properties used in the polynomial Addition , like Closure Property , Commutative Property , Distributive property

Associative property.

The closure property states that the sum of two polynomials is a  polynomial.

The commutative property states that changing the order of two or more terms  does not change  the value of the sum.

The associative property states that the way in which two or more terms are grouped in a sum  does not change the value.

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Answer:

2 is x>3

3 is x ≤ −9/4

4 is x<25

that all i could do but if you need more help go to mathwey

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Divide the x numbers by 3 to then get the y numbers

Example: 3 divided by 1 is 3, 6 divided by 2 is 3, and it goes on!

once again the final answer is 3

hope this helps!

Answer:

b(3b−10)(b−1)

Step-by-step explanation:

b(3b−10)(b−1)