I’m having a panic attack omg please actually help me. I have to turn it in a few minutes-

Thus, the 40% of the number is

The fraction of the students in the classroom that like both flavors is 1/4.

From the information, three-fourths of students in the classroom like chocolate chip cookie dough ice cream and one-half of these same students also like mint-flavored ice cream.

The fraction of the students in the classroom that like both flavors will be the addition of both flavors subtracted from 1. This will be illustrated as:

= (3/4 + 1/2) - 1

= 3/4 + 2/4 - 1

= 5/4 - 1

= 1/4

The fraction is 1/4.

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Since the scale factor is between 0 and 1, that means the dilation will decrease the figure size (it's a reduction and not a enlargement).

Therefore the correct option is the second one.

If \($f$\)is bounded and \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, then the limit of function\($f(x)g(x)$\)as \($x$\) approaches domain\($c$\)also exists and is equal to \($Lf(c)$\)

Let \($M$\)be an upper bound of \($f$\) on the domain . Since \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, there exists a number \($L$\) such that for all \($\epsilon > 0$\) there exists a \($\delta > 0$\) such that for \($x \in A$\) with \($0 < |x - c| < \delta |g(x) - L| < \epsilon\).

Now let \(\epsilon > 0Then $|f(x)g(x) - Lf(x)| = |f(x)||g(x) - L| < M\epsilon\)

for all \(x \in A$ with $0 < |x - c| < \delta$\). So \(\displaystyle\lim_{x \rightarrow c} f(x)g(x)$ exists and is equal to $Lf(c)\)

If \($f$\) is bounded and \($\displaystyle\lim_{x \rightarrow c} g(x)$\) exists, then the limit of \(f(x)g(x)$\)as \($x$\)approaches\($c$\)also exists and is equal to \($Lf(c)$\).

The complete question is:

Let \($f$\) and \($g$\) be functions defined on a domain\($A$\). Prove that if \($f$\) is bounded, and \($\displaystyle\lim_{x \rightarrow c} g(x)$\)exists, then \($\displaystyle\lim_{x \rightarrow c} f(x)g(x)$\) exists.

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Answer:

Step 2

Step-by-step explanation:

Answer:

Should be step 2!

Step-by-step explanation:

Answer:

241.9026

Step-by-step explanation:

2*pi*r

Answer:

241.9 cm

Step-by-step explanation:

circumference= \(\pi\)d

circumference= \(\pi\)(77)

circumference= 241.9 cm

A reasonable amount of tile for Mandana to order would be 133 square feet.

Area is a physical quantity that refers to the amount of space within a two-dimensional shape or surface. It is typically measured in square units such as square meters, square centimeters, or square feet.

Volume is a physical quantity that refers to the amount of space occupied by a three-dimensional object or substance. It is typically measured in cubic units such as cubic meters, cubic centimeters, or cubic feet.

In the given question,

To calculate the amount of extra tile that Mandana needs to order, we need to first find out what 15% to 20% of the area of the floor is:

15% of 110.2 square feet = 0.15 x 110.2 = 16.53 square feet

20% of 110.2 square feet = 0.20 x 110.2 = 22.04 square feet

So, Mandana should order between 110.2 + 16.53 = 126.73 square feet and 110.2 + 22.04 = 132.24 square feet of tile.

Since we want to choose a reasonable amount of tile, we can round up to the nearest whole number of square feet to ensure that we have enough material without ordering too much excess. Therefore, a reasonable amount of tile for Mandana to order would be 133 square feet.

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Based on the given statement, the correct answer would be:

option A. The statement makes sense. Sally listens to music when she is depressed. If she is listening to music, then Sally must be depressed.

The given statement is discussing a potential relationship between Sally's emotional state of being depressed and her behavior of listening to music. The question asks whether the statement makes sense, is clearly true, or does not make sense, and provides four options to choose from.

Option A states that the statement makes sense and suggests that if Sally is listening to music, then she must be depressed. This option is reasonable because the statement establishes a connection between Sally's depression and her behavior of listening to music. It implies that listening to music is a coping mechanism or an activity she engages in when she experiences depressive feelings.

Therefore, if someone observes Sally listening to music, it can be inferred that she might be in a depressed state at that moment.

On the other hand, options B and C can be eliminated because they make extreme and unsupported claims. Option B suggests that Sally only listens to music when she is depressed, which is not explicitly stated in the given statement. Option C states that if Sally is listening to music, then she must not be depressed, which contradicts the initial connection established between depression and listening to music in the statement.

Option D highlights the incomplete nature of the statement but does not render it entirely senseless. It acknowledges that the statement mentions Sally's behavior of listening to music when she is depressed but does not provide information about other potential reasons she might listen to music.

In summary, option A is the most appropriate choice as it aligns with the established correlation between Sally's depression and her listening to music, while considering the possibility of other reasons for her music listening behavior.

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A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

We have to given that;

the circumference of each circular base of a cylinder is equal to the height of the cylinder.

Now, We get;

A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

Hence, As a result, the cylinder's cross section, or the form you see when you cut it perpendicular to its height, will always be round and its diameter will remain constant over the course of the cylinder's height.

Thus, A cylinder's curved section has a constant diameter if the circumference of each of its circular bases equals the height of the cylinder.

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Answer:

if point bearing of k-l is 084 degree so the bearing of point l-k is 84 degree

The bearing of a point L from a point K is 264 degrees.

What is Addition?

A process of combining two or more numbers is called addition.

Given that;

The bearing of a point K from a point L is 084 degrees.

Now,

Since, The bearing of a point K from a point L is 084 degrees.

Hence, The bearing of a point L from a point K = 180° + 84°

                                                                         = 264°

Thus, The bearing of a point L from a point K is 264 degrees.

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Answer:

Its the "range" of x values, so from -2 to 2.

You can write it as [-2, 2]

The calculated z-value, rounded to the nearest hundredth, is -11.88 ,  there is enough evidence to reject the insurance company's claim

The automobile insurance company claims that it offers an average savings of $470 for teenage drivers compared to another company. To test this claim, we'll use the given data from the random sample of 30 customers with an average savings of $405 per year and a standard deviation of $30 per year.
To calculate the z-value, we'll use the formula:
z = (sample mean - population mean) / (standard deviation ÷ √sample size)
Here, the sample mean is $405, the population mean is $470, the standard deviation is $30, and the sample size is 30.
z = ($405 - $470) ÷ ($30 / √30)
z = (-$65) ÷ ($30 ÷ √30)
z = -65 ÷ (30 ÷ 5.48)
z = -65 ÷ 5.47
z ≈ -11.88
To determine whether there is enough evidence to reject the company's claim, we'll compare the z-value with the critical value, usually a 95% confidence interval (z = ±1.96). Since -11.88 is far outside this range.

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Answer:

1) The equation of the line is y =  \(\frac{-1}{2}\) x + 4

2) The equation of the line is y = -12x + 8

Step-by-step explanation:

The slope-intercept form of the linear equation is y = m x + b, where

Let us solve the two questions

1)

∵ points (-2, 5) and (2, 3) lie on the same line

→ Find the slope m

∵ Δ x = 2 - (-2) = 2 + 2 = 4

∵ Δ y = 3 - 5 = -2

∴ m = \(\frac{-2}{4}=\frac{-1}{2}\)

∴ The slope of the line is \(\frac{-1}{2}\)

→ Substitute the value of m in the form of the equation above

∴ y =  \(\frac{-1}{2}\) x + b

→ To find b substitute the x and y in the equation by the coordinates

   of a point on the line

∵ Point (-2, 5) lies on the line

∴ x = -2 and y = 5

∵ 5 =  \(\frac{-1}{2}\)(-2) + b

∴ 5 = 1 + b

- Subtract 1 from both sides

∴ 5 - 1 = 1 - 1 + b

∴ 4 = b

→ Sustitute it in the equation

∴ y =  \(\frac{-1}{2}\) x + 4

The equation of the line is y =  \(\frac{-1}{2}\) x + 4

2)

∵ The slope of the line is -12

∴ m = -12

∵ The line passes through point (0, 8)

∵ b is the value of y at x = 0

∴ b = 8

→ Substitute the values of m and b in the form of the equation above

∴ y = -12x + 8

The equation of the line is y = -12x + 8

Answer:

1267f335677632157853

Answer:

a) (x + 2)(3x + 1) = x^2 + 7x + 2

b) (2x - 3)(2x + 4) = 4x^2 + 2x - 12

c) (x + 2)(avg. length of base, x + 6) = x^2 + 8x + 12

d) Is the radius 4x + 12? If so: (4x + 12)(4x + 12) = (16x^2 + 96x + 144) x pi

Step-by-step explanation:

Brainliest, please!

The value of x from the given line segment is 1 2/3.

Given that, line segment AC = 5 and line segment AB = 3x - 5.

We need to find the value of x.

A line segment is a part of a line that has two endpoints and a fixed length. It is different from a line that does not have a beginning or an end and which can be extended in both directions.

Since point B is the midpoint of the line segment AC.

AB=BC=3x - 5

Now, AC=AB+BC

⇒5=3x - 5+3x - 5

⇒6x=15

⇒x=15/6

⇒x= 5/3

⇒x=1 2/3

Therefore, the value of x from the given line segment is 1 2/3.

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Basically what the question is asking you is to find a(2) and b(2) and then add the solutions up.

The first 4-terms of sequence {aₙ} defined by recurrence-relation : aₙ₊₁ = 2aₙ²-1;  a₁ = 0 are 0, -1, 1 and 1.

To find the first four terms of the sequence {aₙ} defined by the recurrence relation aₙ₊₁ = 2aₙ² - 1, with the initial-condition a₁ = 0, we apply the recurrence relation,

Starting with a₁ = 0, we can find the subsequent terms as follows:

⇒ a₂ = 2a₁² - 1 = 2(0)² - 1 = -1

⇒ a₃ = 2a₂² - 1 = 2(-1)² - 1 = 1

⇒ a₄ = 2a₃² - 1 = 2(1)² - 1 = 1

Therefore, the first four terms of the sequence are : a₁ = 0, a₂ = -1, a₃ = 1

and a₄ = 1.

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The given question is incomplete, the complete question is

Write the first four terms of the sequence {aₙ} defined by the following recurrence relation.

aₙ₊₁ = 2aₙ²-1;  a₁ = 0.

just times the orginal price by 175%

Answer:

The slope is 5 and (2, 4) is on the line

In mathematics, the place value chart is a tool that helps students understand the value of digits in a number. It is a visual representation of how digits are grouped and arranged to represent numbers. The place value chart is arranged in columns, with each column representing a different place value.

The place value chart starts with the ones place, also called units place. This is the rightmost column and it represents the ones digit in a number. The next column is the tens place, which represents the tens digit in a number. The hundredth place represents the hundreds digit and so on. Each column is ten times larger than the previous one.

A place value chart can be used to understand the value of a digit in a number.

Place value chart also helps to understand decimal numbers, which are numbers that have a decimal point. The decimal point separates the whole numbers from the fractional numbers. Each place to the right of the decimal point represents a smaller value.

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Answer:

y = 1

Step-by-step explanation:

If the margin of error is 4.6, the interval estimate would be the point estimate plus or minus 4.6.

In statistical estimation, the margin of error represents the maximum amount by which the point estimate may deviate from the true population parameter. It provides a measure of the precision or uncertainty associated with the estimate. When constructing a confidence interval, the margin of error is used to determine the range within which the true parameter is likely to fall.

To obtain the interval estimate, we add and subtract the margin of error from the point estimate. Let's denote the point estimate as x bar. Therefore, the interval estimate can be expressed as X bar ± 4.6, where ± denotes the range above and below the point estimate.

In summary, if the margin of error in an interval estimate of μ is 4.6, the interval estimate is given by the point estimate plus or minus 4.6. This range captures the likely range of values for the true population parameter μ.

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Answer: S and T.

Step-by-step explanation:

I watched a video on how to do this just to answer, so it might not be right LOL. But since the angles are the same if you draw them from each other they both show the angles are equal which means the lines are parallel.

Let's call the length of the rectangle "L" and the width "W". We know that the width is 10 cm shorter than the length, so we can write.

W = L - 10
We also know that the area of the rectangle is 200 cm 2, so we can write:
A = L x W
Substituting W = L - 10, we get:
A = L x (L - 10)
Expanding the brackets, we get:
A = L^2 - 10L
Now we can substitute in A = 200 and solve for L:
200 = L^2 - 10L
0 = L^2 - 10L - 200
We can use the quadratic formula to solve for L:
L = (-b ± sqrt(b^2 - 4ac)) / 2a
Where a = 1, b = -10, and c = -200. Plugging in these values, we get:
L = (10 ± sqrt(10^2 - 4(1)(-200))) / 2(1)
L = (10 ± sqrt(1100)) / 2
L = (10 ± 10sqrt(11)) / 2
L ≈ 19.9 or L ≈ -9.9
We can disregard the negative solution since we're dealing with lengths, so the length of the rectangle is approximately 19.9 cm.
Now we can use W = L - 10 to find the width:
W = 19.9 - 10
W ≈ 9.9 cm
Therefore, the length of the rectangle is approximately 19.9 cm and the width is approximately 9.9 cm.

To find the length and width of a rectangle whose width is 10 cm shorter than its length and whose area is 200 cm², follow these steps:
1. Define the variables: Let the length of the rectangle be L cm, and the width be W cm.
2. Use the given information: Since the width is 10 cm shorter than the length, we can write the equation W = L - 10.
3. Use the formula for the area of a rectangle: The area of a rectangle is given by the formula A = L × W.
4. Substitute the given area and the equation from step 2: In this problem, the area is 200 cm², so we have 200 = L × (L - 10).
5. Solve the equation for L: Expand the equation to get 200 = L² - 10L. Rearrange the equation to L² - 10L - 200 = 0.
6. Factor the quadratic equation or use the quadratic formula: (L - 20)(L + 10) = 0. This gives two possible values for L: L = 20 cm or L = -10 cm.
7. Discard the negative value: Since the length of a rectangle cannot be negative, we discard the value L = -10 cm. So, the length L is 20 cm.
8. Find the width using the equation from step 2: W = L - 10 = 20 - 10 = 10 cm.
Thus, the length and width of the rectangle are 20 cm and 10 cm, respectively.

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9. Yes, since \(8+12>16\), meaning the side lengths satisfy the triangle inequality.

10. No, since \(5+7<20\), meaning the side lengths do not satisfy the triangle inequality.

Answer:

B. 9(4+8)

Step-by-step explanation:

Start by simplifying the original expression:

36+72=108

Now, let's try each answer choice:

A. 18(2+3)

Add the numbers in the parentheses:

18(5)=90 --> wrong!

B. 9(4+8)

Add the numbers in the parentheses:

9(12)=108 --> correct!

C. 3(10+24)

Add the numbers in the parentheses:

3(34)=102 --> wrong!

D. 2(19+27)

Add the numbers in the parentheses:

2(46)=92 --> wrong!

Therefore the answer is B. 9(4+8)

The margin of error is 0.45 so the option C will be the correct option for this question.

Let's try to understand what is margin error?

A margin of error indicates how many percentages points your results will deviate from the true population value. A 95% confidence interval with a 4% margin of error, for example, means that your statistic will be within 4 percentage points of the true population value 95% of the time.

The population mean is given as 0.45.

Standard deviation is given as 0.001

margin of error is 0.5%.

What is the value of the final margin or error.

first, try to find the critical value that is the sum of the population mean and standard deviation

critical value   = 0.45+0.001 = 0.451

margin error is calculated using the below formula

The margin of error  = Critical value x Standard error of the sample.

Margin or error = 0.451*0.05% = 0.448745.

We now reduce the number to 2 digit place so margin or error  = 0.45

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