a) (+12) ÷ (+4)
c) (-18) ÷ (+9)
e) (+72) ÷ (-8)
g) (-14) ÷ (+1)
i) (-27) + (-3)
b) (-15) ÷ (-3)
d) (+81) ÷ (-9)
f) (-64 : (-8
h) (+54) ÷ (-6)
j (+32) + (+4)

In this triangle, the product of tan A and tan C is `(BC)^2/(AB)^2`.

The given triangle ABC has angle A measuring 45 degrees, angle B measuring 90 degrees, and angle C measuring 45 degrees , Answer: `(BC)^2/(AB)^2`.

We have to find the product of tan A and tan C.

In triangle ABC, tan A and tan C are equal as the opposite and adjacent sides of angles A and C are the same.

So, we have, tan A = tan C

Therefore, the product of tan A and tan C will be equal to (tan A)^2 or (tan C)^2.

Using the formula of tan: tan A = opposite/adjacent=BC/A Band, tan C = opposite/adjacent=AB/BC.

Thus, tan A = BC/AB tan C = AB/BC Taking the ratio of these two equations, we have: tan A/tan C = BC/AB ÷ AB/BC Tan A * tan C = BC^2/AB^2So, the product of tan A and tan C is equal to `(BC)^2/(AB)^2`.

Answer: `(BC)^2/(AB)^2`.

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9 cents per cookie

Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35

Answer:

x=20

Step-by-step explanation:

How I did it was I divided 3/12 to get .25 and 5 divided by .25 is 20. So x is equal to 20.

Answer:

\({ \tt{change = \frac{y_{b} - y _{a} }{x _{b} - x _{a} } }} \\ \\\)

\({ \tt{ change = \frac{16 - 2}{4 - 1} }} \\ \\ = { \tt{ \frac{14}{3} }} \\ \\ = 4 \frac{2}{3} \)

Answer:

Yes.

Step-by-step explanation:

The intersection of the two graphs represents the area of all solutions for both inequalities. In this case, (1, -2) is in that area, thus we know that it is a solution to both inequalities.

Answer:

Yes

Step-by-step explanation:

The correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.

The process of turning a graph into a new graph using rotation, reflection, translation, and dilation is known as transformation.

An object is said to be rotated when it is turned by a specific amount in either the clockwise or counterclockwise directions on an x-y plane.

Reflection turns an object into a mirror image that is identical in terms of size and shape with just the coordinates altered.

Moving an item up, down, left, or right on a coordinate axis is known as translation.

Dilation is the process of modifying an object's size; the original object is either compressed or enlarged by a specific scale factor.

So, the coordinates for the object ABC in the image are A (-2, 5), B (-5, 3), C(1, 3), and.

The picture's coordinates are A'(0,3), B'(-5,-3), and C' (3, -5).

The coordinates have undergone a translational transformation.

The vertices all shifted 2 units to the right and 2 units down, allowing an isometric transformation to be applied.

Therefore, the correct option is (B) the isometric transformation was possible due to the vertices' uniform 2 units to the right and 2 units downward displacement.

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Complete question:

Which describes the transformation that could have been applied to triangle ABC?

a. A dilation could have been applied because all of the vertices decreased by 2 units.

b. An isometric transformation could have been applied because all of the vertices moved 2 units right and 2 units down.

c. A dilation could have been applied because all of the vertices increased 2 units.

d. An isometric transformation could have been applied because all of the vertices moved 2 units left and 2 units up.

The approximate surface area of the cylindrical mailing tube is 276.5 square inches.

To find the surface area of a cylinder, we need to add the area of the two circular bases and the area of the curved surface.

First, we need to find the area of one circular base.

The formula for the area of a circle is A = πr^2, where r is the radius.

Since the diameter is 4 inches, the radius is half of that, which is 2 inches. Plugging that into the formula, we get:
A = π(2)^2
A = 4π

Therefore, the area of one circular base is approximately 4π square inches.

Next, we need to find the area of the curved surface.

The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height of the cylinder.

In this case, we know that the length of the cylinder (which is the same as the height) is 20 inches. We also know that the radius is 2 inches.

Plugging these values into the formula, we get:
L = 2π(2)(20)
L = 80π

Therefore, the curved surface area of the cylinder is approximately 80π square inches.

To find the total surface area, we need to add the area of the two circular bases and the curved surface area:
SA = 2(4π) + 80π
SA = 8π + 80π
SA = 88π

Using a calculator, we can approximate this value to the nearest tenth of a square inch:

SA ≈ 276.5 square inches

Therefore, the approximate surface area of the cylindrical mailing tube is 276.5 square inches.

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290 people Apple wants to visit the store every day after Layla’s marketing campaign.

Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason.

Both linear equations with one variable and those with two variables exist.

Given Apple wants to increase the number of people who enter in stores in London every day,

let X be Apple’s target amount of people,

380 is double the difference between, the target amount of people which apple wants to visit the store every day and 100

difference between the target amount of people and 100 is

X - 100

double the equation = 2(X - 100)

the equation is equal to 380

2(X - 100) = 380

divide both sides by 2

X - 100 = 380/2

X - 100 = 190

X = 190 + 100

x  = 290

Hence  Apple’s target amount of people is 290.

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The principal is N16.94

Step-by-step explanation:

Simple Interest = (Principal × Rate × Time)/100

Principal = (Simple Interest × 100)/(Rate × Time)

Principal = (123 × 100)/(3 × 242)

Principal = 12300/726

Principal = 16.9421

Answer:

28

Step-by-step explanation:

similar triangles are proportional

and add all the sides of the bigger triangle

Answer:

\(C) 1210m^2\)

Step-by-step explanation:

Initial Length of the rope (r) = 12 m

Final length of the rope (R) = 23 m

\(Additional\ area\ acquired\ = Final Area- Initial Area\\=\pi R^2- \pi r^2\\=\pi (R^2-r^2)\\=\pi (23^2-12^2)\\=\pi (529-144)\\=\pi (385)\\=385\pi \\\\As\ \pi = \frac{22}{7} \\\\Hence,\\385\pi \\=385 * \frac{22}{7} \\=55*22\\=1210 m^2\)

The probability that the article will have no errors is approximately 0.0233.

To solve this problem, we can use the formula for the probability of an event, which is the number of favorable outcomes divided by the total number of outcomes.

Let's first find the probability that the article is typed by the first typist. Since the article is equally likely to be typed by either typist, this probability is 1/2.

Now, we need to find the probability that the article has no errors given that it is typed by the first typist. We know that the average number of errors per article typed by the first typist is 3.5, so the probability that an article typed by the first typist has no errors is given by the Poisson distribution with λ = 3.5:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-3.5) * 3.5^0 / 1 = e^(-3.5) ≈ 0.0302

Similarly, we can find the probability that the article has no errors given that it is typed by the second typist. This probability is given by the Poisson distribution with λ = 4.1:

P(X = 0) = e^(-λ) * λ^0 / 0! = e^(-4.1) * 4.1^0 / 1 = e^(-4.1) ≈ 0.0164

Finally, we can use the law of total probability to find the probability that the article has no errors:

P(X = 0) = P(X = 0 | typed by first typist) * P(typed by first typist) + P(X = 0 | typed by second typist) * P(typed by second typist)

= 0.0302 * 1/2 + 0.0164 * 1/2

= 0.0233

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Answer: Absolute value will alwase be a positive number, while solving an equation that does not involve absolute value could be any number. Positive, negativ, you name it. They ae similer, because either way, you are trying to figure out a varible. -hope this helped! if i misunderstood anything, let me know! i love to improve :D

To express the given statement using O-notation, we need to find the function that describes the growth of the given expression.

The given statement is:
x + 212x^5(3x + 4) ≤ 36x^5 for all real numbers x > 2

Step 1: Divide both sides of the inequality by x^5:
(x + 212x^5(3x + 4))/x^5 ≤ (36x^5)/x^5

Step 2: Simplify the inequality:
(x/x^5) + 212(3x + 4) ≤ 36
1/x^4 + 212(3x + 4) ≤ 36

Step 3: Determine the dominating term:
In this case, the term with the highest power of x is 212(3x), which grows faster than 1/x^4.

Step 4: Express the inequality using O-notation:
The given expression can be expressed as:
x + 212x^5(3x + 4) = O(x^6)

This O-notation shows that the growth rate of the expression is proportional to x^6 for all real numbers x > 2.

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Answer:

1. $30.50

2. 20+1.75x

Step-by-step explanation:

To prove that f is one-to-one function, it must be proven that f(x1)=f(x2) and x1=x2.

What is a one to one function?

The mapping of two sets is essentially what a one to one function refers to. When every element in a function's range and domain match exactly one another, the function is said to be one-to-one.

The one-to-one function, also known as an injective function, is one of the many different types of functions.

A function that transfers different components of its domain to different elements of its codomain is known as a one-to-one function.

For example, a function  f:A→B  is said to be one-to-one if -

f(x1)=f(x2)⇒x1=x2

for all elements x1,x2∈A.

To prove  f:A→B  is one-to-one -

Consider the fact that f(x1)=f(x2).  

Then it must be true that x1=x2.

Therefore, it is now understood that f is one-to-one by definition if f(x1)=f(x2) and x1=x2.

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The process of converting individual raw scores in a distribution to a set of scores for which we know the percentiles is known as "normalizing the data" or "standardizing the data."

The steps for standardizing the data are as follows:

Order the raw scores in the distribution from smallest to largest.

Assign each score a percentile rank. This is the percentage of scores in the distribution that are equal to or lower than the score. For example, if a score has a percentile rank of 75, it means that 75% of the scores in the distribution are equal to or lower than that score.

Convert the raw scores to standardized scores (also known as z-scores). This is done by subtracting the mean of the distribution from each score and then dividing by the standard deviation of the distribution. The resulting standardized score represents the number of standard deviations above or below the mean that the raw score falls.

The process of standardizing the data helps to put the raw scores into a common context, which makes it easier to compare scores from different distributions and to draw meaningful conclusions about the data. Additionally, standardized scores can be used to determine the probability of a score falling within a particular range.

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Answer: Choice A

y=0.0714x-9.2682

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

Explanation:

I used GeoGebra (free graphing software) to find the line of best fit, aka the regression line. You can do so by hand, but I think it's tedious busywork and prefer to use technology whenever possible. Other graphing and spreadsheet programs are able to compute the regression line as well.

Check out the diagram below.

a. To estimate the proportion of non-graduates in the 25 to 30 age group within a 6% margin of error and 90% confidence, survey at least 199 individuals.

b. To reduce the margin of error to 5% while maintaining 90% confidence, survey at least 270 individuals.

c. To achieve a margin of error of 3% while maintaining 90% confidence, survey at least 601 individuals.

a. To estimate the proportion of non-graduates within the 25 to 30 age group with a 6% margin of error and 90% confidence, we can use the formula:

n = (Z² × p × (1-p)) / E²

where n is the required sample size, Z is the Z-score corresponding to the desired confidence level (90% corresponds to approximately 1.645), p is the estimated proportion of non-graduates (21% or 0.21), and E is the desired margin of error (6% or 0.06).

Plugging in the values, we have:

n = (1.645² × 0.21 × (1-0.21)) / 0.06²

n ≈ 198.838

Therefore, we need to survey at least 199 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 6% margin of error with 90% confidence.

b. To reduce the margin of error to 5% while maintaining 90% confidence, we need to calculate the necessary sample size again. Using the same formula, with E = 0.05:

n = (1.645² × 0.21 × (1-0.21)) / 0.05²

n ≈ 269.89

Therefore, we need to survey at least 270 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 5% margin of error with 90% confidence.

c. To achieve a margin of error of 3% while maintaining 90% confidence, we use the same formula, this time with E = 0.03:

n = (1.645² × 0.21 × (1-0.21)) / 0.03²

n ≈ 600.553

Therefore, we need to survey at least 601 individuals in the 25 to 30 age group to estimate the proportion of non-graduates within a 3% margin of error with 90% confidence.

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First you will get 4dz

3.5-= 7/2     3.5 =350 percent thats what i got sorry if it doesnt help

Answer:

DONT PRESS THAT ITS A VIRUS AND HACK ILL REPORT

Step-by-step explanation:

HOPE THIS HELPS YOU REMEMBER NOT TO PRESS THESE LINKS!

Zack is expected to be at (-12,-10.5) by finding the midpoint of line segment WT and reflecting T over it.

What is coordinate ?

A coordinate is a set of numerical values that are used to identify the position of a point in a specific space, such as a two-dimensional plane or a three-dimensional space. In two-dimensional space, coordinates are commonly represented by an ordered pair (x, y) or (x, y, z) in three-dimensional space.

The problem states that the balloon lands at point W(42,-15) and Tahir ends up at point T(-18,36). We know that Tahir and Zack are flying off in opposite directions from point W at equal distances. To find the point where Zack is expected to land, we can use the midpoint formula which states that the midpoint of a line segment is the average of the x-coordinates and the average of the y-coordinates.

We can find the midpoint of line segment WT by taking the average of the x-coordinates and y-coordinates:

x_midpoint = (x1 + x2) / 2 = (42 + -18) / 2 = 12

y_midpoint = (y1 + y2) / 2 = (-15 + 36) / 2 = 10.5

So the midpoint of line segment WT is (12,10.5). Since Zack is flying off in the opposite direction from Tahir at the same distance, we can expect Zack to end up at the point which is the reflection of point T over the midpoint of line segment WT.

This point would be (-12,-10.5)

Therefore , Zack is expected to be at (-12,-10.5) by finding the midpoint of line segment WT and reflecting T over it.

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Answer:

I think is d

Step-by-step explanation:

Hope it helps:)

Answer: The person above me is correct. Here is a picture if you still dont get it..

Step-by-step explanation:

Answer:

2740.5

Step-by-step explanation:

This is what I got why I did was multipley them

Answer:

2740.5

Step-by-step explanation:

This is what I got when I multipled

[FALSE] In a hypothesis test, you assume the alternative hypothesis is true.

If the null hypothesis is rejected, then there is what is called an alternative hypothesis.

the alternative hypothesis states that there is an observed effect between the two variables in the experiment.

That is, the alternative hypothesis opposes the contents of the null hypothesis. Where there are differences and the nature of mutual influence between the two variables studied.

If there are deviations or differences between the two variables, then the null hypothesis is rejected while the alternative hypothesis is accepted. Conversely, if the null hypothesis is accepted, then the alternative hypothesis is rejected.

The alternative hypothesis is symbolized by Ha or also H1. Alternative hypotheses can use symbols not equal to (≠), less than (<), and more than (>).

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