Find the distance between the points (–1∕2,–8) and (–1∕2,–2). Question 13 options: A) 8 B) 10 C) 1∕2 D) 6

To prove the identity (1 - sin²x) cscx = cosx cotx, we can start with the left-hand side (LHS) of the equation, which is (1 - sin²x) cscx. Our goal is to simplify  trigonometric identity this expression until we reach the right-hand side (RHS), which is cosx cotx.

To simplify the LHS, we can use the Pythagorean identity sin²x + cos²x = 1. This identity tells us that the sum of the squares of the sine and cosine of an angle is always equal to 1. Using this identity, we can replace sin²x in our expression with (1 - cos²x). This gives us (1 - (1 - cos²x)) cscx. Simplifying the expression inside the parentheses, we have (1 - 1 + cos²x) cscx, which simplifies further to cos²x cscx. Substituting this into our expression, we get cos²x (1/sinx), which is equivalent to cosx cotx. Therefore, we have successfully simplified the LHS to match the RHS, proving the identity (1 - sin²x) cscx = cosx cotx.

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Explanation

to solve this do, y=f(x), then put the values for x and you will obtain y

example:

do this, numbers from -10 to 10, then mark each coordinate in the plane, and finally draw a line connecting the points.

Answer:

C angle H = 75.4

Step-by-step explanation:

In order to find the measure of angle H we must first find the value of x

Firstly it's good to know that the sum of the angles in a quadrilateral always add up to 360 degrees

Knowing this we can create an equation.

Since the angle measures must add up to 360 degrees we know that angle F + angle E + angle H + angle G = 360

Plugging in the given expressions for each angle we acquire

14x - 11 + 5x + 21 + 6x + 16 + 8x - 7

We can now solve for x

==> combine like terms

33x + 19 = 360

==> subtract 19 from both sides

33x = 341

==> divide both sides by 33

x = 10 1/3

Now that we have identified the value of x and we can plug in x = 10 1/3 into the given expression of angle H and evaluate to get the measure

Angle H = 8x - 7

==> plug in x = 10 1/3

Angle H = 8(10 1/3) - 7

==> multiply 8 and 10 1/3

Angle H = 82.7 - 7

==> subtract 7 from 82.7

Angle H = 75.6

C is the closest answer

Answer:

C. m∠H = 75.4°

Step-by-step explanation:

all sides of a quadrilateral add up to 360°

So, (5x + 21) + (14 - 11) + (6x + 16) + (8x - 7) = 360

Add like terms:

33x + 19 = 360

33x = 360 - 19

33x = 341

x = 341/33

x = 10.33...

Substitute:

∠H = 8x - 7

∠H = 8(10.3) - 7

∠H = 75.4°

Identify the predictor and response variables, then create a scatterplot in Minitab. Characterize the association between the variables as linear or nonlinear and negative, none, or positive.

In exploratory data analysis, the first step is to identify the research question and the two variables of interest. The predictor variable (also known as the explanatory variable or independent variable) is the one that is used to explain or predict the outcome of the response variable (also known as the dependent variable).

After identifying the two variables, one can use software such as Minitab to create a scatterplot of the data. The scatterplot helps to visualize the relationship between the two variables.

To characterize the association between the two variables, we would first determine if the relationship appears to be linear or nonlinear. If the relationship is roughly linear, we would then determine if it is negative (meaning that as one variable increases, the other tends to decrease), positive (meaning that as one variable increases, the other tends to increase), or none (meaning that there is no clear trend).

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Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

The pair members cannot be multiplied. Look at the last numbers that are prime starting with eleven

What are you going to pair these primes with

11 13 17 19

So they must be added (or maybe subtracted).

1 19

2 18

3 17

4 16

5 15

6 14

7 13

8 12

9 11

and 20 which no matter how you do this, there will be 1 card left over.

Each of them adds to 20 so the LCM is 20

\( \frac{25}{125} = \frac{5}{25} = \frac{1}{5} \)

A: I do not understand.

B: Yes

C: 2 pair pants is $40. 4 pair shirts is $60. $60 + $40 = $100

Answer:

20 cups of Chick-Fla-A ice cream

Step-by-step explanation:

1 quart = 4 cups

5 quarts = 20 cups

The solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

Here we have the inequality:

–3(2x – 5) < 5(2 – x)

First, we need to isolate x in one side of the inequality, we will get:

-6x + 15 < 10 - 5x

15 - 10 < -5x + 6x

5 < x

Then the solutions are all the points strictly larger than 5, to represent this, we draw an open circle at x = 5, and a bold line that points to the right.

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Hi there!

\(\large\boxed{\text{9 quarters}}\)

We can let x = dimes and y = quarters.

We know that one dime = $0.10 and a quarter = $0.25, so:

$3.05 = $0.10x + $0.25y

And:

17 = x + y

Solve the system of equations. We can rearrange the bottom equation to create an expression equal to y:

17 - x = y

Substitute this into the top equation for y:

3.05 = 0.10x + 0.25(17 - x)

Distribute and simplify:

3.05 = 0.10x + 4.25 - 0.25x

3.05 = 4.25 - 0.15x

Solve for x:

-1.2 = -0.15x

x = 8

Find y using the above expression:

17 - 8 = y

y = 9

To arrange the given compounds from lowest to highest boiling point using tablep and q as reference points, we can consider the number of carbon atoms (C) in each compound.
Methane < Ethane < Propane < Butane < Pentane < Hexane < Heptane < Octane < Nonane.

Arranging the compounds from lowest to highest boiling point:

Methane (CH4): Lowest boiling point, as it has the fewest carbon atoms.

Ethane (C2H6): Boiling point higher than methane due to the presence of an additional carbon atom.

Propane (C3H8): Boiling point higher than ethane as it has one more carbon atom.

Butane (C4H10): Boiling point higher than propane due to the increased number of carbon atoms.

Pentane (C5H12): Boiling point higher than butane as it contains more carbon atoms.

Hexane (C6H14): Boiling point higher than pentane due to the increased carbon atom count.

Heptane (C7H16): Boiling point higher than hexane due to the additional carbon atom.

Octane (C8H18): Boiling point higher than heptane as it has more carbon atoms.

Nonane (C9H20): Highest boiling point among the given compounds, as it contains the most carbon atoms.

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An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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This 9-year-old girl's performance places her at the 70th percentile.

To determine the girl's percentile based on her sit-up performance, you need to consider the percentage of girls her age who can perform fewer or equal sit-ups in one minute.

Since 30% of girls her age can perform more sit-ups,

it means that 70% of girls her age can perform fewer or equal sit-ups in one minute.

Therefore, this 9-year-old girl's performance places her at the 70th percentile.

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The 9-year-old girl's performance in sit-ups is in the 30th percentile.

Based on the information given, you found that a 9-year-old girl can perform more sit-ups in one minute than 30% of the girls her age.

1. Understand the meaning of percentile:

A percentile indicates the relative standing of a data point within a data set, showing the percentage of scores that are equal to or below the data point.

2. Interpret the given information:

In this case, 30% of girls her age can perform fewer sit-ups than she can in one minute.

3. Calculate the percentile:

Since 30% of the girls perform fewer sit-ups than her, this girl's performance is at the 30th percentile. This means that she performs better than or equal to 30% of the girls her age.

In conclusion, this 9-year-old girl's performance in sit-ups places her at the 30th percentile.

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Answer:

m,jnngjhgchjfc

Step-by-step explanation:

shank youuuuuuuuuuu

Answer:

thank you so much for the points

Answer:2 2/3 or 8/3

Step-by-step explanation:

2/ 3/4 is the same as

2/1 / 3/4

Flip 3/4 to 4/3 so you can multiply

It’ll look like this

2/1 • 4/3

(Top) 2•4=8

(Bottom) 1•3=3

So the answer is 8/3 or 2 2/3

Answer:

\(\frac{8}{3}\)

Step-by-step explanation:

\(\frac{2}{\frac{3}{4} }\)

2 * \(\frac{4}{3}\)

\(\frac{2}{1}\) * \(\frac{4}{3}\)

\(\frac{8}{3}\)

if the interest rate rises by 0.6%, the fund would be exposed to a loss of approximately 0.0594% of its current value. Please note that this is a generalized calculation and the actual loss may vary depending on the specific characteristics of the portfolio.

The loss that the pension fund would be exposed to if the interest rate rises by 0.6% can be calculated using the concept of duration. Duration measures the sensitivity of the value of a portfolio to changes in interest rates.
In this case, the portfolio has a duration of 9.9 years. This means that for every 1% change in interest rates, the value of the portfolio will change by approximately 9.9%. Since the interest rate is currently 5.3% and it is expected to increase by 0.6%, the total change in interest rates would be 0.6%.
To calculate the loss, we multiply the change in interest rates by the duration and the current value of the portfolio. So, the loss would be:
Loss = (Change in interest rates) * (Duration) * (Current value of the portfolio)

In this case, the change in interest rates is 0.006 (0.6% expressed as a decimal), the duration is 9.9 years, and the current value of the portfolio is not given. Therefore, we cannot calculate the exact loss without knowing the current value of the portfolio.
However, we can provide a general formula to calculate the loss as a percentage of the current value of the portfolio:
Loss % = (Change in interest rates) * (Duration)
Using the given values, the loss % would be:
Loss % = 0.006 * 9.9 = 0.0594

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Answer:

Step-by-step explanation:

Your answer

About all the sides are equal so we can say (10x + 44) side's triagle is twice than another triangle

So, 10x + 44 = 2( 8x - 23)

..... 10x +44 = 16x -46

...... X = 15

Mark it as Brainlist answer. Follow me.

The slope of the regression line is  b=61.02 and y-intercept is a=3.12

Regression analysis is a set of statistical processes used to estimate the relationships between a dependent variable and one or more independent variables. Linear regression is the most popular type of regression analysis, in which one finds the line (or a more sophisticated linear combination) that best fits the data according to a certain mathematical criterion. The ordinary least squares method, for example, finds the unique line (or hyperplane) that minimizes the sum of squared discrepancies between the genuine data and that line (or hyperplane). This enables the researcher to estimate the

Given,

The regression line is y=3.12+61.02 s

Here the slope is b=61.02

The slope indicates that the distance is increased by 61.02 yards for every one mile per hour of the speed.

And the y-intercept is a=3.12

It is the distance estimated by this model if the speed is zero miles per hour.

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The number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!).

The number of ways to draw five numbers from a group of twelve numbers without considering the order is given by the combination formula.

The formula is nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen. Applying this formula to the given problem, we get 12C5 = 792.

To understand this formula intuitively, imagine picking a team of five players from a group of twelve players. The number of possible teams is the number of combinations of five players that can be formed from the group of twelve players.

For the first player, we have twelve choices. For the second player, we have eleven choices (since one player has already been chosen). Continuing this process, we have 12111098 ways to choose a team of five players if order matters.

However, since the order does not matter, we need to divide this number by the number of ways the five players can be arranged, which is 54321. Therefore, the number of possible teams is (12111098)/(54321) = 792.

In summary, the number of ways to draw five numbers from a group of twelve numbers without considering the order is 792. This can be calculated using the combination formula nCk = n!/((n-k)!k!), where n is the total number of items in the group and k is the number of items to be chosen.

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To determine the open intervals on which the function is increasing or decreasing, we need to analyze the sign of the derivative of the function.

For the function h(x) = 7√\(xe^(2x),\)let's find the derivative:

h'(x) =\((7/2)e^(2x)\)√x + 7√x \(* (1/2)e^(2x)\)

Simplifying further:

h'(x) =\((7/2)e^(2x)\)√x + (7/2\()e^(2x)\)√x

h'(x) \(= (7/2)e^(2x)\)√x(1 + 1)

h'(x) = \(7e^(2x)\)√x

To determine the intervals of increase or decrease, we need to analyze the sign of h'(x) within different intervals.

For x < 0:

Since the function is not defined for x < 0, we exclude this interval.

For 0 < x < 2:

In this interval, h'(x) is positive (since \(e^(2x)\)> 0 and √x > 0 for 0 < x < 2).

Therefore, the function h(x) is increasing on the interval (0, 2).

For x > 2:

In this interval, h'(x) is also positive (since \(e^(2x)\)> 0 and √x > 0 for x > 2).

Therefore, the function h(x) is increasing on the interval (4, ∞).

In conclusion, the function h(x) = 7√\(e^(2x)\) is increasing on the open intervals (0, 2) and (4, ∞).

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Answer:

5/16= 0.3125 lbs

Step-by-step explanation:

Answer:

the answer is 80 can i have brainlyist for answeroing first

Step-by-step explanation:

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(6a^2-13ab-5b^2\\ \\ 6a^2+2ab-15ab-5b^2\\ \\ 2a(3a+b)-5b(3a+b)\\ \\ (2a-5b)(3a+b)\)

Total pages read after 4h

\(\\ \sf\longmapsto 4(55)=220pages\)

Pages left=350

Now

\(\\ \sf\longmapsto y=350+220\)

\(\\ \sf\longmapsto y=570\)

The correct graph is A,

All the mentioned points are labelled into the graph.

The given equation is,

y = x² - 2x  - 3

Since we can see that it has degree 2

Therefore,

This is a quadratic equation.

Now after graphing this equation we get a parabolic curve,

A parabolic curve is a group of points that form a curve with each point on the curve being equidistant from the focus and the directrix.

Then,

The curve attached below.

Now in the graph,

when we reach at x = 2.5

We get value of y - 1.75

And when we go across y = 1 in the graph we get,

x = 0.75

These points are labelled on the graph below.

Answer:

11 students answered the survey, and the shortest name length is 3 letters