what is 2(9x + 4y^2)^5 pls helppp

Answers

Answer 1

Answer: Are you even still there?

Step-by-step explanation: You asked this question about an hour ago. You probably don't need help anymore. Thankyou!


Related Questions

A person leaves home and walks 4 miles west, then 5 miles southwest.

How far from home is she?

miles

In what direction must she walk to head directly home?

degrees North of East

A person leaves home and walks 4 miles west, then 5 miles southwest.How far from home is she? milesIn

Answers

The person is approximately 8.43 miles from home, and they need to walk in the direction of approximately 26.6 degrees east of north to head directly home.

To determine the distance from home, we can use the concept of vector addition. The person walks 4 miles west, which can be represented as a vector (-4, 0) in a coordinate plane. Then, they walk 5 miles southwest, which can be represented as a vector (-3.54, -3.54) since southwest is a combination of west and south. Adding these two vectors together gives us (-7.54, -3.54).

To find the magnitude or distance from home, we use the Pythagorean theorem. The distance is given by sqrt((-7.54)^2 + (-3.54)^2) = 8.43 miles (approximately).

To determine the direction to head directly home, we need to find the angle between the vector (-7.54, -3.54) and the positive x-axis. We can use trigonometry to find this angle. The tangent of the angle is given by the ratio of the y-coordinate to the x-coordinate, which is -3.54 / -7.54. Taking the inverse tangent of this value gives us approximately 26.6 degrees.

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2y = 4x - 12
Find the x and the y intercept of the line.

Answers

2(0) = 4x - 12

0 = 4x - 12

Adding 12 to both sides:

12 = 4x

Dividing both sides by 4:

3 = x

For Y:

2y = 4(0) - 12

2y = -12

Dividing both sides by 2:

y = -6

Therefore, the y-intercept of the line is y = -6.

A triangle cannot have side lengths that are 3, 5, and 9.

False

True

Answers

Answer:

False

Step-by-step explanation:

Add any 2 side lengths and see if it is greater than the third.

3 + 5 = 8

8 < 9

So it is not a triangle.

What is the closest integer to 105

Answers

Answer:

-105?

Step-by-step explanation:

The closest integer to \(105\) should be \(104\)!

An Integer is a number that cannot be a fraction nor a decimal. It can be - (Negative) or + (Positive).

What is the main point of James Green's "Equal Pay Bill" letter?
A. As gender roles have changed, so has the need to reevaluate equality in the workplace.

B. Men and women should have equal roles in home and work.

C. Women and men should receive equal pay for equal work.

D. Paying women as much as men is harmful to families and to society.​

Answers

answer: D, Paying women as much as men is harmful to families and to society,

explanation : The letter argues that it is not the role of the government to "dictate to businesses what they should pay" and said "traditionally, men have earned more than women in the workplace because they are considered the primary breadwinners for families.

The length of a rectangle is 5 inches longer than the width. The perimeter of the rectangle is 40 inches. What is the width of the rectangle, in inches?

Answers

Answer:

23

Step-by-step explanation:

345 centimeters

A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.

Answers

The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).

For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).

As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.

Here we have to calculate the probability that the number landing face up will be less than 3.

The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6

(1, 2, 3, 4, 5, 6)

Favorable number of faces of a die = 2

(1, 2)

Since the number landing faces up will be less than 3.

Therefore the probability that the number landing face up will be less than 3

\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)

\(& =\frac{2}{6} \\\)

\(& =\frac{1}{3}\)

Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)

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The long-run relative frequency of a number less than 3 landing face up is 2/3.

The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.

For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.

For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.

Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.

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Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?

Are there any linear quantities in the chart shown? And if so, what is the slope of said pairs?

Answers

The chart does not represent a linear quantity

How to determine if there are linear quantities in the chart shown?

From the chart, we have the following coordinates

(x, y) = (0.10, 0.14), (0.50, 0.32), (1.00, 0.46), (1.70, 0.59) and (2.00, 0.63)

To determine if the chart is a linear quantity, we simply calculate the slope using the coordinates.

The slope is calculated as:

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

So, we have:

m = (0.32 - 0.14)/(0.50 - 0.10) = 0.45

m = (0.46 - 0.32)/(1.00 - 0.50) = 0.28

In the above computations, the calculated slopes are not equal

Hence, the chart does not represent a linear quantity

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In a poll of 1556 registered voters nationwide, 43% of those polled blamed oil companies the most for the recent increase in gasoline prices. Test the claim that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45% using alpha = 0.01. Test statistic z = -1.59. P-Value = 0.94 A. Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%. B. Since the P-value is larger than 45%, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%. C. Since the P-value > alpha, we can conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%. D. Since the P-value > alpha, we conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is 45%. E. Since the P-value > alpha, we conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is 43%.

Answers

A poll of 1556 registered voters nationwide indicated that 43% of those polled blamed oil companies the most for the recent increase in gasoline prices. Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

To determine whether this poll result supports the claim that at least 45% of registered voters blame oil companies the most for the recent increase in gasoline prices, we test the null hypothesis against the alternative hypothesis.

Test the claim that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45% using alpha = 0.01. Test statistic z = -1.59. P-Value = 0.94.

Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

Therefore, option A is correct: Since the P-value > alpha, we cannot conclude that the percentage of registered voters nationwide who blame oil companies the most for the recent increase in gasoline prices is at least 45%.

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Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options. The value of f(–10) = 82 The graph of the function is a parabola. The graph of the function opens down. The graph contains the point (20, –8). The graph contains the point (0, 0).

Answers

The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

In the question ,

it is given that ,

the quadratic function is f(x) = x² – 5x + 12 .

for x = -10 ,

f(-10) = (-10)² – 5(-10) + 12

= 100 + 50 + 12

= 162

option(a) is false .

the graph of the quadratic function is shown below .

form the graph we can see that the graph is a parabola ,

and the function opens upwards ,

the graph does not contain the points (20,-8) and (0,0)

Therefore , The statement that are true about the function and its graph is "The graph of the function is a parabola " , the correct option is (b) .

The given question is incomplete , the complete question is

Consider the quadratic function f(x) = x² – 5x + 12. Which statement is true about the function and its graph?

(a) The value of f(–10) = 82

(b) The graph of the function is a parabola.

(c) The graph of the function opens down.

(d) The graph contains the point (20, –8).

(e) The graph contains the point (0, 0).

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Consider the quadratic function f(x) = x2 5x + 12. Which statements are true about the function and its

Find the annual interest rate.

I= $562.50, P=$1500, t= 5 years
The annual interest rate is_____%

Answers

The annual interest rate is 7.5%.

What is Simple interest?

Simple interest is a type of interest that is calculated on the principal amount (or the initial amount) of a loan or investment, without taking into account any accumulated interest from previous periods.

The formula for simple interest is:

I = P × r × t

where I is the interest earned, P is the principal (initial amount), r is the annual interest rate as a decimal, and t is the time in years.

In this case, we know I = $562.50, P = $1500, and t = 5 years.

we ca substitute values into the formula,

562.50 = 1500× r ×5

Simplifying, we get:

r = 562.50 / (1500 ×5)

r = 0.075

r = 7.5%

Therefore, the annual interest rate is 7.5%.

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The manager of the zoo where the ticket price for an adult is $9.50 and the ticket price for a child is $6.50 wants to make at least $800 on a Saturday. Let x be the number of adult tickets and y be the number of child tickets. Choose the inequality that shows the numbers of tickets that need to be sold.

Answers

Answer:

\(9.5x+6.5y\geq $800\)

Step-by-step explanation:

9.5 in value of adult tickets. 6.5 is value of children's tickets. combined selling of all of them should be greater than or equal to 800 ("atleast" in the question shows it can be more but cannot be less)

Yesterday, Brad's Snack Shack went through 1 1/2 bottles of ketchup. If they used 1/2 as much mustard as ketchup, how many bottles of mustard did they go through? Write your answer as a fraction or as a whole or mixed number. bottles Submit​

Answers

1 1/2 = 1.5

1/2 as much as 1.5 is .75 or 3/4 of a bottle of mustard.

Brad's Snack Shack used 3/4 of a bottle of mustard yesterday.

Hope this helps <3

QUESTION IN PICTURE

Please explain your answer in steps, thank you.

QUESTION IN PICTUREPlease explain your answer in steps, thank you.

Answers

We can complete the blanks with the following ratios:

(7.5 mi/1) * (1 mi/ 5280 ft) * (400ft/1 yd) * (3 ft/1 ft) =33 flags

Since we do not need a flag at the starting line, then 32 flags will be required in total.

How to obtain the number of flags

To solve the problem, we would first convert 400 yds to feet and miles.

To convert to feet, we multiply by 3. This gives us: 400 yd * 3 = 1200 feet.

To convert to miles, we would have 0.227 miles.

Now, we divide the entire race distance by the number of miles divisions.

This gives us:

7.5 mi /0.227 mi

= 33 flags

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What does 6523 ÷ 65 equal?

Answers

100.3538461538462 is the answer

Answer:

~100.35385

Step-by-step explanation:

You just gotta take the time to do the long division. Alternate forms could be 100 23/65

Jason has $200 Karen has 7/8 as much money as him how much money does Karen have

Answers

Answer:

175

Step-by-step explanation:

because 7/8 of 200 is 175

For the three-part question that follows, provide your answer to each part in the given workspace. Identify each part with a coordinating response. Be sure to clearly label each part of your response as Part A, Part B, and Part C.

Lisa is hosting a dinner party and wants to buy filet mignon. Her local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party.

Part A: What will Lisa pay for the filet mignon she purchased at $6.99 per pound? Show all work and round the price to the nearest cent.

Part B: Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. How much will Lisa pay for the shrimp? Show all work.

Part C: What is the total amount Lisa will pay for the filet mignon and the shrimp? Show all work.

please help me :(

Answers

1. The Lisa pay for the filet mignon she purchased at $6.99 per pound is $30.41 pounds.

2. The amount she will pay for the shrimp is $11.8125.

3. The total amount Lisa will pay for the filet mignon and the shrimp is $42.2225.

How to calculate the values?

1. The local grocery store has filet mignon on sale for $6.99 per pound. Lisa bought 4.35 pounds of steak for the dinner party. The amount paid will be:

= 4.35 × $6.99

= $30.41 pounds.

2. Lisa also purchased 2.25 pounds of shrimp at $5.25 per pound. The amount she will pay for the shrimp is:

= 2.25 × $5.25

= $11.8125

3. The total amount Lisa will pay for the filet mignon and the shrimp is:

= $11.8125 + $30.41

= $42.2225

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Answer:

$42.2225

Step-by-step explanation:

Write the equation of the quadratic function that contains the point (1,1) and has the same shape as f(x)=2x. The vertex is on the y-axis.

Answers

The equation of the quadratic function that contains the point (1,1) is

y = 2x² - 1.

What is a quadratic function?

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. It is also known as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree. A quadratic function must contain at least one term of the second degree.

Given  the quadratic function that contains the point (1,1)

x = 1 and y = f(x) = 1

the shape of the equation is the same as f(x) = 2x²

a quadratic equation is given by

y = a(x - k)² + h

here (k, h) is the vertex of the function

given vertex is on the y-axis,

so k = 0

y = ax² + h

and a = 2 from f(x) = 2x²

y = 2x² + h

substitute x= 1 and y = 1

1 = 2 + h

h = 1 - 2 =  -1

equation of function is y = 2x² - 1

Hence equation of the function is y = 2x² - 1.

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2) Select the correct answer.numbers are numbers used to count physical objects.1. Counting2. Whole3. Rational4. Integer

Answers

To count physical objects, we use numbers that do not have fractions and they are positive.

The number 0 is not included.

So we would use counting (natural) numbers to count physical objects.

Find the value of x when a(perpendicular sign)b and b II c

Find the value of x when a(perpendicular sign)b and b II c

Answers

In the given figure, x= 8

Calculation

a is perpendicular to b and b is parallel to c

therefore they are corresponding angles.

So, \((9x+18)^{o}\) = \([5(x+7)+15]^{o}\)

9x + 18 = 5(x + 7) +15

9x + 18 = 5x + 35 + 15

9x - 5x = 35 + 15 -18

4x = 32

x = 32/4 = 8

Hence, x = 8

What is a corresponding angle?According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

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Find the value of x when a(perpendicular sign)b and b II c

The  of x when a(perpendicular sign)b and b II c is 8.

What is a corresponding angle?

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

a is perpendicular to b and b is parallel to c

Therefore they are corresponding angles.

So,  = \((9 x+18)^{\circ}=[5(x+7)+15]^o\)

9x + 18 = 5(x + 7) +15

9x + 18 = 5x + 35 + 15

9x - 5x = 35 + 15 -18

4x = 32

Therefore,

x = 32/4 = 8

Hence, x = 8

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Find the value of x when a(perpendicular sign)b and b II c

You want to buy some rice. A 7​-ounce package costs ​$2.59. A 16​-ounce package costs ​$5.60. A 24​-ounce package costs​$9.36. Which package is the best​ buy?

Answers

Answer:

Thanks

Step-by-step explanation:

Thanks

Which. Stem and leaf plot represents the data set below 56,113,89,85,96,104,65,67,72,88,97

Answers

Answer:

i think 88 sorry for puting under answer because i thin k ti's the answer and i dont get the question so i tried on a pieace of paper and i go this 88

Step-by-step explanation:

i think 88 sorry for puting under answer because i thin k ti's the answer and i dont get the question so i tried on a pieace of paper and i go this 88

Answer:

72

Step-by-step explanation:

hope it helps

i tried tp compute it on a piece of paper and 72 is the result

PLEASE HELP!

I need help solving these problems.

PLEASE HELP! I need help solving these problems.

Answers

1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x

2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x

3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1

4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x

5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x

6.  When we simplify cos x + sin xtan x, the result obtained is sec x

How do i simplify the trig identities?

We can simplify the trig identities as follow:

1. Simplification of sec² x + tan² xsec² x

sec² x + tan² xsec² x = sec² x(1 + tan² x)

Recall

sec² x = 1 + tan² x

Thus,

sec² x(1 + tan² x) = sec² x × sec² x

sec² x(1 + tan² x) = sec⁴x

Therefore, the simplified is written as

sec² x + tan² xsec² x = sec⁴x

2. Simplification of (sec² x - 1) / sin² x

(sec² x - 1) / sin² x

Recall,

sec² x - 1 = tan² x

Thus,

(sec² x - 1) / sin² x = tan² x / sin² x

Recall

tan² x = sin² x / cos² x

Thus,

tan² x / sin² x = (sin² x / cos² x) / sin² x

tan² x / sin² x = 1/ cos² x

Recall

1/ cos² x = sec² x

Therefore, the simplified expression is written as:

(sec² x - 1) / sin² x = sec² x

3. Simplification of (1/sec² x) + (1/csc² x)

(1/sec² x) + (1/csc² x)

Recall

sec² x = 1/cos² x

Thus,

cos² x = 1/sec² x

Also,

csc² x = 1/sin² x

Thus,

sin² x = 1/csc² x

Therefore, we have

(1/sec² x) + (1/csc² x) = cos² x + sin² x

Recall

cos² x + sin² x = 1

Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:

(1/sec² x) + (1/csc² x)  = 1

4. Simplification of (sec x / sin x) - (sin x / cos x)

(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x

Recall

sec x = 1/cos x

sinx sinx = sin² x

Thus,

(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x

(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x

Recall

1  - sin² x = cos² x

Thus, we have

[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x

[1 - sin² x] / sinx cos x = cos x / sin x

Recall

cos x / sin x = cot x

Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:

(sec x / sin x) - (sin x / cos x) = cot x

5. Simplification of (1 + sin x)(1 - sin x)

(1 + sin x)(1 - sin x)

Clear bracket

1 - sin x + sin x - sin² x

1 - sin² x

Recall

1 - sin² x = cos² x

Thus, we have

(1 + sin x)(1 - sin x) = cos² x

6. Simplification of cos x + sin xtan x

cos x + sin xtan x

Recall

tan x = sin x / cos x

cos x + sin xtan x = cos x + sin x (sin x / cos x)

cos x + sin xtan x = cos x + (sin² x / cos x)

cos x + sin xtan x = (cos² x + sin² x) / cos x

Recall

cos² x + sin² x = 1

cos x + sin xtan x = 1 / cos x

1/cos x = sec x

Thus,

cos x + sin xtan x = sec x

The simplified expression of cos x + sin xtan x is sec x

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What is the area of the triangle?

What is the area of the triangle?

Answers

40 right? Because base times height divided by two is area of a triangle

Answer:

52

Step-by-step explanation:

Compare the values of the following numbers, using the symbols > (greater than), < (less than), and = (equal to).
0.5 _____0.500

Answers

Answer:

0.5 = 0.500

Step-by-step explanation:

Both numbers are five-tenths. The zeros to the right of the 5 are not place holders and do not change the value of the number.

0.5 = 0.500

Can you please do number 9???!! I’m giving out the brainly thingy

Can you please do number 9???!! Im giving out the brainly thingy

Answers

Answer:

16

Step-by-step explanation:

not sure i just multiplied and did the math thingy work

Answer:

63

Step-by-step explanation:

\((x^{3}-1)(4x+1) = (2^{3} -1)(4*2+1) = (7)(9) = 63\)

For which of these sets of data would all the points be displayed on a scatterplot if the window size on a regression calculator were set to 5 less-than-or-equal-to x less-than-or-equal-to 15; 25 less-than-or-equal-to y less-than-or-equal-to 75? A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 14. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71. A 2-column table with 6 rows. Column 1 is labeled x with entries 6, 7, 9, 11, 13, 16. Column 2 is labeled y with entries 27, 33, 39, 49, 58, 71. A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 14. A 2-column table with 6 rows. Column 1 is labeled x with entries 27, 33, 39, 49, 58, 71. Column 2 is labeled y with entries 6, 7, 9, 11, 13, 16.

Answers

Answer:

Step-by-step explanation:

Oh, this is a lot easier than you made it sound, lol.

This is the correct answer:

The table with the following:

X=6,7,9,11,13,14

Y=27,33,39,49,58,71

Lol, I didn't realize that was all this was.

Anyways, the table that matches that is correct, that's actually a bit obvious. The numbers you gave me are parameters, a limit. The numbers for x per y have to fall between those numbers listed.

Answer:

A

Step-by-step explanation:

A student in a wildlife biology class wants to determine the abundance of a rodent species in a local nature preserve, divided into smaller blocks. She is concerned that she only has a modest number of traps and time to do the project, and wants to select the most appropriate sampling or experimental study design.
1. Which one of the following is most appropriate for this study?
Group of answer choices:
a. Natural experiment (observational study)
b. Stratified sampling
c. Cluster sampling
d. Systematic sampling

Answers

Answer:

c. Cluster sampling

Step-by-step explanation:

Taking into account that the exercise researcher is looking with limited resources to study a population that is divided, her best option is cluster sampling, which is a method applicable to this type of population, we could select in each group randomly her sample, the observational study is discarded because she does not have much availability of time or resources, nor would the stratified study be useful because she should select subgroups and create them to take samples and this would take more time and resources and sampling systematic is not adequate because it must have all the individuals and after having the list select the sample, but as we know, it is a process that will study the number of individuals so this option is not feasible.

Answer:

Cluster sampling

Step-by-step explanation:

Cluster sampling is almost always more economical or more practical than stratified sampling or simple random sampling as it reduces costs by increasing sampling efficiency. Due to the fact that she has limited resources, this method is better to observe clusters of units in a population than randomly selected distributed in the local nature preserve and this method is more economical and quick.

Which value of $x$ satisfies this inequality? -3 x-2>10
a. -2
b. -3
c. -4
d. -5

Which value of $x$ satisfies this inequality? -3 x-2&gt;10a. -2b. -3c. -4d. -5

Answers

The value of x that satisfies the given inequality -3 x-2 > 10 is -5.

What is inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.

Here, we have

Given:  the inequality -3 x-2 > 10

We have to find the value of x that satisfies the given inequality.

For, x = -2

-3(-2) -2 > 10

4 > 10

x = -2 doesn't satisfy the given inequality.

For, x = -3

-3(-3) -2 > 10

7 > 10

x = -3 doesn't satisfy the given inequality.

For, x = -4

-3(-4) -2 > 10

10 > 10

x = -4 doesn't satisfy the given inequality.

For, x = -5

-3(-5) -2 > 10

13 > 10

Hence, the value of x that satisfies the given inequality is x = -5.

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Safety by-laws state that for a ladder to be stable, the angle the base of the ladder makes with the ground should be between 70° and 80'. A safety inspector at a construction site notices a painter on a 10-m ladder that is leaning against a wall. The base of the ladder is 1.5 m away from the wall. Does the inspector have cause to be concerned? Explain.​

Answers

Cos(angle) = adjacent/hypotenuse

Cos(angle) = 1.5/10

Angle = arccos(1.5/10)

Angle = 81.37 degrees

Although the angle is close, it is over the 80 degrees, so the inspector should be concerned.

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