What is an example of a whole number?

The value of cosx from the given trigonometric ratios is -1/√5.

Given that, cotx= -1/2 and sinx= 2√5/5.

We know that, cotθ=cosθ/sinθ

Here, cotx=cosx/sinx

-1/2 =cosx÷2√5/5

-1/2 ×2√5/5 =cosx

cosx=-√5/5

cosx=-√5/√5√5

cosx=-1/√5

Therefore, the value of cosx from the given trigonometric ratios is -1/√5.

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Answer:

8.89 feet

Step-by-step explanation:

\(\sqrt{79}\) = 8.888, rounded to nearest hundredth would be 8.89

Answer:

angle 2 =90 because it is a right angle

In summary, given a simple dataset with 30 points, the following steps were performed: (a) OLS estimation was used to calculate the coefficients β^0 and β^1 for the regression of Y on X.

(b) the predicted value of Y was calculated for each observation; (c) the residuals were calculated for each observation; (d) the Explained Sum of Squares (ESS), Total Sum of Squares (TSS), and Residual Sum of Squares (RSS) were calculated separately; (e) the coefficient of determination R^2 was calculated; (f) the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one; and (g) the interpretation of β^0 and β^1 was provided.

In detail, to calculate the OLS estimates of coefficients β^0 and β^1, a regression model of Y on X was fitted using the given dataset. β^0 represents the intercept term, which indicates the value of Y when X is zero. β^1 represents the slope of the regression line, indicating the change in Y corresponding to a unit change in X.

The predicted value of Y for each observation was obtained by plugging the corresponding X value into the regression equation. The residuals were then calculated as the difference between the observed Y values and the predicted Y values. ESS represents the sum of squared differences between the predicted Y values and the mean of Y, indicating the variation explained by the regression model.

TSS represents the total sum of squared differences between the observed Y values and the mean of Y, representing the total variation in Y. RSS represents the sum of squared residuals, indicating the unexplained variation in Y by the regression model. R^2, also known as the coefficient of determination, was calculated as ESS divided by TSS, indicating the proportion of total variation in Y explained by the regression model. Finally, the predicted value of Y was determined when X equals the last digit of the CUNY ID plus one, allowing for an estimation of Y based on the given information.

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Answer:

14

Step-by-step explanation:

3(4)+2

12+2

14

Kasey is trying to run 60 miles by the end of the month.

Let us assume that Kasey tries to run 't' miles by the end of the month.

Kasey is 60% close to reaching her goal.

This means, she has already completed 40% of her goal.

Foven that she has already run 24 miles.

This means 40 percent of total distance is 24 miles.

i.e., 40 percent of 't' miles = 24 miles

We calculate 40 percent of t.

(40/100) × t = 24

(2/5) × t = 24

2 × t = 24 × 5

2 × t = 120

t = 120/2

t = 60 miles

i.e., she tries to run a 60 miles by the end of the month.

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The quotient of √x ³ / √5 x ² is √ ( x / 5 )

To find : the product of √x ³ / √5 x ²

By checking the power of roots for each term

The terms which are given are √x ³ and √5 x ²

Since both the numbers have the same root power they can be combined under the same square root for further operation

Dividing the terms

=> √ ( x ³ / 5 x ² )

=> √ ( x / 5 )

Therefore, we get the quotient of √x ³ / √5 x ² as √ ( x / 5 ).

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Answer:

6 packages of pencils

5 packages of erasers

Step-by-step explanation:

we need to find the LCM of 10 and 12, which is 60

because 60 is divisible by both 10 and 12

60/10 = 6 packages of pencils

60/12 = 5 packages of erasers

Answer:

36 and 43

Step-by-step explanation:

let, length be (x+7) and width be x.

here,

perimeter of rectangle=2(l*w)

or,158=2(x+7*x)

or,158=4x+14

or,158-14=4x

or,144=4x

or,144÷4=x

x=36

width=36

length=x+7

=36+7

=43

The number of ways in which you can answer the questions is: 6561 ways

Permutations and combinations are simply defined as  the various ways whereby objects from a peculiar set may be selected, generally without any replacement, to form subsets. This selection of subsets is referred to as a permutation when the order of selection is a factor, but then referred to as a combination when order is not a factor.

The formula for permutation is:

nPr = n!/(n - r)!

The formula for combination is:

nCr = n!/(r!(n - r)!

Thus, the solution here is calculated as:

3⁸ = 3 * 3 * 3 * 3 * 3 * 3 * 3 * 3

= 6561 ways

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The Ratio of blueberry muffins to all muffins is 15/27.

The ratio of blueberry muffins to all muffins, we need to determine the total number of muffins.

Given that Jamal made 12 corn muffins and 15 blueberry muffins, the total number of muffins is the sum of these quantities: 12 + 15 = 27.

The blueberry muffins are a subset of the total muffins, so the ratio of blueberry muffins to all muffins can be calculated as:

Number of blueberry muffins / Total number of muffins

Substituting the values, we have:

15 blueberry muffins / 27 total muffins

This ratio can be simplified by dividing both the numerator and denominator by their greatest common divisor (in this case, 3):

15 / 27

Since 15 and 27 do not have any common factors other than 1, this is the simplified ratio.

Therefore, the ratio of blueberry muffins to all muffins is 15/27.

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Answer:

D)

Step-by-step explanation:

Answer:

Option b: 2 21/50 is equivalent to 2.42

Answer:

y = 119

30 =x

Step-by-step explanation:

61 and y are same side interior angles and they add to 180

61+y = 180

y = 180-61

y = 119

y and 6x-61 are vertical angles and they are equal

y = 6x-61

119 = 6x-61

Add 61 to each side

119 + 61 = 6x

180 = 6x

Divide each side by 6

180/6 = x

30 =x

Answer:

y = 119°

x = 30°

Step-by-step explanation:

We know that if two lines are parallel, the co - interior angles are added up to 180°°.

Accordingly,

y + 61 = 180

y = 180 - 61

y = 119°

Also, we know that, vertically opposite angles are equal to each other.

y = 6x - 61

119 = 6x - 61

Now, we have to make x the subject.

For that, first, add 61 for both sides.

119 + 61 = 6x

180 = 6x

Now, divide both sides by 6.

30° = x

Answer:6.66

Step-by-step explanation:

I’m pretty sure its infinite if not just putt that answer

Answer: 84 r4

Step-by-step explanation:

I think that is correct.

The speed of the car is 75 mph

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

Explanation:

The four given points on the diagonal line are:

Pick any two points from that list of four. I'll pick the first two points. The coordinates are then plugged into the slope formula below

m = (y2-y1)/(x2-x1)

m = (150-75)/(2-1)

m = 75/1

m = 75 so the answer is choice C

The rate of change of 75 means that each time x goes up by 1, y increases by 75.

For each hour that passes, the car has traveled 75 miles. Therefore, the rate of change is 75 miles per hour.

-----------

Note how,

In short, the slope represents the speed of the car. If the line remains the same slope, then the speed is constant.

Answer:

it's 75 i took the test

Step-by-step explanation:

Answer:

25 quarters and 64 dimes

Step-by-step explanation:

25 times 25 = 6.25 remaining 64 coins being dimes

64 times 10 = 6.40 added to the 6.25 = 12.65 in 89 coins

A geometric series is a sequence of numbers in which each term is found by multiplying the previous term by a constant called the common ratio. To determine whether a geometric series is convergent or divergent, we need to examine the value of the common ratio.

1. If the absolute value of the common ratio (|r|) is less than 1, the geometric series is convergent.
  - Example: Consider the series 2 + 4 + 8 + 16 + ...
    The common ratio is 4/2 = 2. Since |2| is greater than 1, the series is divergent.
 
2. If the absolute value of the common ratio (|r|) is equal to 1, the geometric series is divergent.
  - Example: Consider the series 3 - 3 + 3 - 3 + ...
    The common ratio is -3/3 = -1. Since |1| is equal to 1, the series is divergent.
 
3. If the absolute value of the common ratio (|r|) is greater than 1, the geometric series is divergent.
  - Example: Consider the series 5 + 10 + 20 + 40 + ...
    The common ratio is 10/5 = 2. Since |2| is greater than 1, the series is divergent.

To summarize, a geometric series is convergent if |r| is less than 1 and divergent if |r| is equal to or greater than 1. Remember to always check the value of the common ratio to determine the convergence or divergence of a geometric series.

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The length of the garden is 15 meters

The breadth of the garden is 10 meters

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

Length = 5 + Breadth

So, we have

Perimeter = 2 * (5 + Breadth + Breadth)

The permeter is 50

So, we have

2 * (5 + Breadth + Breadth) = 50

This gives

(5 + Breadth + Breadth) = 25

So, we have

Breadth + Breadth = 20

Divide by 2

Breadth = 10

Recall that

Length = 5 + Breadth

So, we have

Length = 5 + 10

Evaluate

Length = 15

Hence, the length of the garden is 15 meters

In (a), we have

Breadth = 10

Hence, the breadth of the garden is 10 meters

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0.0006 .

The probability that both systems of an atomic reactor will fail simultaneously is 0.0006.

This is calculated by multiplying the probability of cooling system A failing (0.02) by the probability of cooling system B failing (0.03) which results in 0.0006, rounded to four decimal places.

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For a relative frequency table by rows 4-column table with 2 rows about the breakfast choices of boys and girls. The conclusion is of table is represented by option(b).

We have provided the following information about relative frequency table by rows, tables by row, 4 columns and 2 rows.

Now, we represent the above information into tabular form,

Eat cereal do not eat cereal Total

boys 68.3% 31.7% 100%

girls 69.1% 30.9% 100%

Now, we have to draw conclusion about the relative frequency of these results. From the table, the percentage of girls and boys who eat cereal is exceed from the not. Thus, we cannot say if a person eat cereal for breakfast, then he is a boy. Similarly we cannot know about gender of a person by eats cereal. The right conclusion is that if i am a girl in this group, i am more likely to eat cereal for breakfast than not. Hence, required option is option (b).

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Complete question:

relative frequency table by rows 4-column table with 2 rows. column 1 has entries boys, girls. column 2 is labeled eat cereal with entries 68.3 percent, 69.1 percent. column 3 is labeled do not eat cereal with entries 31.7 percent, 30.9 percent. column 4 is labeled total with entries 100 percent, 100 percent. What conclusion can you draw about the relative frequency of these results?

a) If you are a boy in this group, you are more likely not to eat cereal for breakfast than to eat cereal.

b) If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

c) If you eat cereal for breakfast, you are a boy.

d) Knowing if a person eats cereal will help determine gender.

Answer:

B. If you are a girl in this group, you are more likely to eat cereal for breakfast than not.

Step-by-step explanation:

Edge 2023

Answer:

C.)-12x-7

Step-by-step explanation:

-9x-7+3x

-3x    -3x

-12x-7

Answer:

The solution is C) -12x - 7

Step-by-step explanation:

(-9x) - (7+3x)

= -9x-3x-7

= -12x - 7

Answer:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. ... It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

Step-by-step explanation:

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

The amount of water needed to be drank is approximately 2 cups of water are required for every pound of body weight reduced.

Vanessa would need to drink about ten cups of liquid to replace the weight she lost while running.

Refilling fluid: To add fluid to something that has been drained, in particular: to replace any fluids the body has lost from dehydration. assist a patient in hydrating.

Oral rehydration solutions (ORSs), which include Pedialyte, are used to treat dehydration. ORSs, which help replace lost fluids, include the correct ratio of salt, sugar, potassium, and other minerals.

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Complete question - A general rehydration recommendation after exercise is 2.5 cups of fluid for every 1 pound of body weight lost. Using this guideline, how much fluid would Vanessa need to consume to make up for the weight that was lost during her run?

Calculation: 2 cups x lbs of body weight lost = cups of water needed

A. Approximately 4 cups of fluid

B. Approximately 8 cups of fluid

C. Approximately 6 cups of fluid

D. Approximately 10 cups of fluid

7. Vanessa asks if she should start using sports drinks. Which of the following would best answer Vanessa's question?

A. A sports drink is not beneficial for you at this time and may provide unnecessary calories.

B. A sports drink would be beneficial to replace fluid and electrolytes when exercising for less than 30 minutes.

C. A sports drink would be beneficial on days when you are exercising for over an hour at a higher intensity.

8. If Vanessa uses a sports drink in the future, how much glucose, sodium and potassium should be provided per 24 fluid ounces of sports drink?

A. No more than 30 g of glucose, 450 g of sodium and 225 mg of potassium.

B. No more than 75 g glucose, 150 mg sodium, 175 mg potassium.

C. No more than 15 g of glucose, 500 mg sodium, 200 mg potassium.

D. No more than 45 g of glucose, 225 mg of sodium and 275 mg of potassium.

Answer:

x= -2; y= -2

Step-by-step explanation:

The opposite sides of a parallelogram are congruent, and therefore we can make two observations:

9=-9x-9
19=-10y-1

Then we can just solve each of the equations to get x and y:

9 = -9x - 9
+ 9       +9

18=-9x

----------
-9

-2=x

19=-10y-1
+1        +1

20=-10y
------------

-10

-2=y

Answer:

r is 2.5, i believe

Step-by-step explanation:

find the value of of the constant of proportionality r,

r = y/x

x=4, y=10

so you substitute

r= 4/10

r=2.5

hope this makes some sense !

The value of three over five raised to the second power is nine over twenty-five.

From the question , we were given that three over five raised to the second power which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.

In this case ,  (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the denominator.

Therefore, the third option is correct.

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The area of the rectangle, A, can be expressed as a function of its width, w, using the equation A(w) = 28w -\(w^2.\)

To determine the area of a rectangle as a function of its width, we need to establish the relationship between the width and length of the rectangle.

Let's assume the width of the rectangle is denoted by "w" meters. The length can be represented by "l" meters.

The perimeter of a rectangle is given by the formula: P = 2w + 2l, where P is the perimeter.

In this case, the perimeter of the rectangle is given as 56 meters. So we have the equation:

56 = 2w + 2l

We can simplify this equation further by dividing both sides by 2:

28 = w + l

To find the area of the rectangle, we use the formula: A = w * l, where A is the area.

Since we want to express the area, A, as a function of the width, w, we can substitute l in terms of w using the equation 28 = w + l:

28 = w + l

l = 28 - w

Substituting this value of l into the area formula, we have:

A(w) = w * (28 - w)

Simplifying further, we have:

A(w) = 28w - w^2

Therefore, the area of the rectangle, A, can be expressed as a function of its width, w, using the equation A(w) = 28w - w^2.

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Given any set of seven numbers that should be at least 2 that must have the same remainder when divided by 6

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product since the product is divisible by them.

Step 1: factor the provided number into primes, or describe it as the product of primes.

Step 2: Write the prime factorization in exponent form in step three.

Step 3: Increase each exponent by one.

Step 4: Multiply each of the results.

There can only be a maximum of six different remainders when dividing by six: 0, 1, 2, 3, 4, and 5.

In any set of seven integers, two must have the same remainder when divided by seven according to the pigeon hole principle.

b) Consider set of integers 0, 1 ,2, 3, 4, 5 and 66. All these have different remainders upon division by 8 and hence the answer is no.

The interpretation is yes

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Answer:

B

Step-by-step explanation:

z = -10x

z + 10 = -10x + 10 = x

Answer: D

If z = -10x, we can divide both sides of the equation by -10 to get z/(-10) = x. This is the same as \(x=-\frac{z}{10}\).

Answer:

do you have the graph to solve it?