please help me with this work for 10 points

Answer:

12

Step-by-step explanation:

Answer:

1) 12 boxes

2) 3, 6, 12

3) 12

4) 110 degrees

Step-by-step explanation:

1) Count the rectangles. Multiply the length of the rectangle in boxes to the width of rectangle in boxes.

Length: 4 boxes

Width: 3 boxes

4 x 3 = 12

12 boxes

2)

10% of 30 is 0.1 times 30.

0.1 x 30 = 30/10 = 3

20% of 30 is 0.2 times 20.

0.2 x 30 = 30/5 = 6

40% of 30 is 0.4 times 20.

0.4 x 30 = 30/2.5 = 12

3) Count the cubes. Reminder there are 2 boxes you cannot see.

Top Layer: 2

Middle Layer: 4

Back Bottom Layer: 4

Front Bottom Layer: 2

2 + 4 + 4 + 2 = 12

4) I cannot see the semicircle clearly, but I do know that a circle is 360 degrees. A semicircle, half of a circle, is 180 degrees.

180/18 (The angle of each section)

10

11 Sections

10 x 11 = 110

Answer:

hi:) you can use an app called photomath, you just take a picture of any math problem and it gives you the answer and shows all the work:) thats what I use.

Answer:

y = 120

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when y = 72, x = 6, then

72 = 6k ( divide both sides by 6 )

12 = k

y = 12k ← equation of variation

When x = 10, then

y = 12 × 10 = 120

Answer:

8.2

Step-by-step explanation:

the bigger numbers are 9.21 and 9.73 because they have a higher number and 8.9 and 8.2 are the lower ones but 9 is a bigger number than 2.

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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Answer:

A ≈ 34.91 m²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

  = πr² × \(\frac{40}{360}\) ( r is the radius )

  = π × 10² × \(\frac{1}{9}\)

  = \(\frac{100\pi }{9}\)

  ≈ 34.91 m² ( to 2 decimal places )

Answer:

(round 35m²)

Step-by-step explanation:

360° : 40° = 9  

Area of Circle Formulas · Area = π × r2, where 'r' is the radius

Area = π × r2

Area = π × 10²

Area = π × 100

Area = 3.14 × 100

Area = 314 m²

314 : 9 = 34.88m² (round 35m²)

Answer:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

The roots of the quadratic equation  are  , .

Step-by-step explanation:

As given the equation in the form

Simplify the above equation

(x-2)-x = 3x × (x-2)

x-2 - x = 3x² - 6x

3x² - 6x + 2 = 0          

As the equation is written in the form ax² + bx + c = 0

a = 3 , b = -6 , c = 2

Put all the values in the above equation

Thus

Therefore the roots of the quadratic equation  are  , .

Answer:

8 8/11.

Step-by-step explanation:

First, we add the whole numbers: 6 + 2 = 8.

Next, we add the fractions: 9/11 + 10/11 = 19/11.

Since the sum of the fractions is greater than 11, we can simplify it by converting it to a mixed number.

Divide 19 by 11: 19 ÷ 11 = 1 with a remainder of 8, and your answer is 8 8/11.

Answer:

6 9/11 + 2 10/11 = 107/11 = 9 8/11 ≅ 9.7272727

Step-by-step explanation:

Answer:

$15

Step-by-step explanation:

Answer:

Multiply the denominator of the fractional part by the whole number, and add the result to the numerator.

Step-by-step explanation:

You can add or subtract mixed numbers by turning them to improper fractions first. Improper fractions are fractions where the numerator is greater than the denominator.

Answer:

x =19

Step-by-step explanation:

that is the correct answer

Answer:

x = 19

Step-by-step explanation:

3x - 6 = 51

3x = 51 + 6

3x = 57

x = 19

^^

Answer: We can prove that 5^(2n+1) + 2^(2n+1) is divisible by 7 for all n ∈ N (i.e., for all positive integers n) using mathematical induction.

Base case: When n = 1, we have:

5^(2n+1) + 2^(2n+1) = 5^(2(1)+1) + 2^(2(1)+1) = 5^3 + 2^3 = 125 + 8 = 133

133 is clearly divisible by 7, so the statement is true for n = 1.

Inductive step: Assume that the statement is true for some arbitrary positive integer k, i.e., assume that 5^(2k+1) + 2^(2k+1) is divisible by 7. We want to show that the statement is also true for k+1, i.e., that 5^(2(k+1)+1) + 2^(2(k+1)+1) is divisible by 7.

Using the laws of exponents, we can simplify 5^(2(k+1)+1) and 2^(2(k+1)+1):

5^(2(k+1)+1) + 2^(2(k+1)+1) = 5^(2k+3) + 2^(2k+3) = 5^3 * 5^(2k) + 2^3 * 2^(2k)

We can factor out 125 (which is divisible by 7) from the first term, and 8 (which is also divisible by 7) from the second term:

5^(2(k+1)+1) + 2^(2(k+1)+1) = 125 * 5^(2k) + 8 * 2^(2k)

We can rewrite 8 as 7+1:

5^(2(k+1)+1) + 2^(2(k+1)+1) = 125 * 5^(2k) + (7+1) * 2^(2k)

Distributing the 2^(2k) term and regrouping:

5^(2(k+1)+1) + 2^(2(k+1)+1) = 125 * 5^(2k) + 7 * 2^(2k) + 2^(2k)

Now we can use the inductive hypothesis that 5^(2k+1) + 2^(2k+1) is divisible by 7 to replace 5^(2k+1) + 2^(2k+1) with a multiple of 7:

5^(2(k+1)+1) + 2^(2(k+1)+1) = 125 * 5^(2k) + 7 * (5^(2k+1) + 2^(2k+1)) + 2^(2k)

By the inductive hypothesis, 5^(2k+1) + 2^(2k+1) is divisible by 7, so we can replace it with a multiple of 7:

5^(2(k+1)+1) + 2^(2(k+1)+1) = 125 * 5^(2k) + 7m + 2^(2k)

where m is some positive integer.

We can now see that 5^(2(k+1)+1) + 2^(2(k+1)+1) is divisible by 7, since it can be expressed as the sum of a multiple of 7 (i.e., 7m)

The concept of hedonistic calculus is associated with utilitarianism and the philosophy of maximizing pleasure and minimizing pain. It is a method for calculating the overall happiness or utility of actions based on the intensity, duration, certainty, propinquity, fecundity, purity, and extent of pleasure or pain they produce.

Hedonistic calculus is a term coined by the philosopher Jeremy Bentham, who was a proponent of utilitarianism. Utilitarianism is an ethical theory that states that the right action is the one that maximizes overall happiness or utility for the greatest number of people. The goal of hedonistic calculus is to measure and compare the happiness or pleasure derived from different actions or situations.

According to Bentham, pleasure and pain are the only relevant factors in determining the moral value of an action. Hedonistic calculus involves quantifying these pleasures and pains in order to assess their overall impact. Bentham proposed seven criteria to evaluate the intensity, duration, certainty, propinquity (nearness in time), fecundity (likelihood of leading to more pleasure or pain), purity (absence of pain mixed with pleasure), and extent of the pleasure or pain produced by an action.

By assigning values to each of these criteria, hedonistic calculus aims to determine the net amount of happiness or utility generated by a particular action or decision. The idea is to maximize pleasure and minimize pain, with the ultimate goal of promoting the greatest happiness for the greatest number of individuals.

Overall, hedonistic calculus provides a systematic approach to assess and compare the consequences of actions based on their impact on pleasure and pain. It serves as a framework for utilitarians to make ethical judgments and decisions by considering the net balance of happiness produced by different choices.

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Answer:

-3,-2,3,2

Step-by-step explanation:

Let a = x^2

Then the equation turns into

a^2 - 13 a +  36 =0

a^2 - 4a - 9a + 36 = 0

a(a - 4) -9 (a -4) =0

(a-9)(a-4) = 0

a = 9 or a = 4

So

x^2 = 9 or x^2 = 4

Therefore x = -3,3 or x= -2,2.

x⁴ - 13x² + 36 = 0

t² - 13t + 36 = 0

t = 4, t = 9

x² = 4, x² = 9

x = ±2, x = ±3

A translation by 3 units to the left and 2 units down.

Given points are:-

Q' = (3, 2) ; Q = (6, 4)

As Q' is the image of Q under translation,

The translation is from (6, 4) to (3, 2).

That is the values (h, k) was added to the coordinates where ...

6 + h = 3

or, h = -3  ....... a translation of 3 to the left.

It means on the x-axis, the point changed from 6 to 3, which means that the point was shifted 3 units to the left.

and

4 + k = -2

or, k = -2   ....... a translation of 2 to the down.

it means that on the y-axis, the point changed from 4 to 2, which means that the point was shifted from 2 units to down.

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Answer:

40%

Step-by-step explanation:

Total no. of postcards = 40

No. of postcards from foreign countries = 16

Percentage of postcards from foreign countries = (16/40)*100

=40%

Answer:

B  is the answer

Step-by-step explanation:

Answer:

14.56 is your answer

Step-by-step explanation:

a^2+b^2=C^2

4^2+14^2=C^2

16+196=C^2

C^2=212

*find the square root*

there is your answer

Answer: = 16

Step-by-step explanation: Hope this help :D

Answer:

C = 81.7 units

Step-by-step explanation:

C = 2\(\pi\)r

r = d/2 = 26/2 = 13

C = 2\(\pi\)(13)

C = 81.7 units

Answer: x2+3x+4+18/x-3

Step-by-step explanation:

The value of the missing angle x is calculated as: 11°

The parallel lines depict the fact that the relationships involves angles and transversals. The angle marked as 33° and ∠CAB are seen as alternate interior angles and as such they are congruent. This tells us that:

∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

5x = 2x + 33°

Subtract 2x from both sides to get:

3x = 33°

Divide both sides by 3 to get:

x = 11°

Therefore we conclude that is the value of the missing angle x.

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Answer:

Angle A= 61°

Step-by-step explanation:

angle A+ Angle B+Angle C= 180°( Angle sum property)

∠A+57+72= 180°

∠A= 180°- 127°= 61°

Answer:

m<GEF = 32 degrees

Step-by-step explanation:

<EGF = 180-64=116

116 + 32 + 32 = 180 degrees

64/2 = 32 degrees

The rule for the function g(x) is g(x) = x - 5 when f(x) = 5 and vertical down to 5 units.

Functions:

Function refers the relationship from a set X to a set Y assigns to each element of X exactly one element of Y

Given,

Let g(x) indicated the transformation of f(x)

Here we need to write the rule for g(x) when f(x) = x, and vertical translation down 5 units.

Here we have the function f(x) = x.

Considering the normal graph, we know that, the graph has four parts.

And each part refers difference sign. That is,

Horizontal left indicates the positive where as the horizontal right refers the negative for x axis.

Similarly, vertical up refers the positive and the vertical down represents the negative.

Here we have the vertical down translation of 5 units which refers the negative 5.

So, the rule of g(x) = x - 5.

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Answer:

Yes

Step-by-step explanation:

Well because 125/10 would be a function, and it is linear then it should be proportional. In other words if you increase one number the other increases at the same rate. Hope I Helped :)

Answer:

\(x^2-8x+15=0\)

Step-by-step explanation:

If the roots are \(3\) and \(5\), the factors are \((x-3)\) and \((x-5)\).

Taking the leading coefficient as 1, the equation is \((x-3)(x-5)=0 \implies x^2-8x+15=0\).

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

From the question, we have the following parameters that can be used in our computation:

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The mean is 22 , the median is 19.5, the range is 26 and the data set has two modes: 12 and 38.

To find the mean, media, mode and range for the given data set: 24, 31, 12, 38, 12, 15

Mean is also known as the average. It is calculated by adding up all of the numbers in the data set and dividing by the number of values.

Mean = (24 + 31 + 12 + 38 + 12 + 15) / 6 = 132 / 6 = 22

The median is the middle value of the data set when the values are arranged in numerical order. First, we need to arrange the data in numerical order:

12, 12, 15, 24, 31, 38

There are two middle values, 15 and 24.

We need to find the average of these two values.

Median = (15 + 24) / 2 = 39 / 2 = 19.5

The mode is the value that appears most frequently in the data set.

There are two values that appear twice, 12 and 38.

The range is the difference between the largest and smallest values in the data set.

The smallest value is 12 and the largest value is 38.

Range = 38 - 12 = 26

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