HELP AGAIN LOL
Subtract.
(8h + 7) - (7h + 6)

Answers

Answer 1

The simplified form of the expression (8h + 7) - (7h + 6) is h + 1. We subtract this by using the distributive law.

What is an expression?

An expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, exponentiation, etc.) that represents a mathematical quantity or value. Expressions can be simple, consisting of just a single number or variable, or they can be complex, involving multiple numbers, variables, and operations.

What is distributive law?

The distributive law, also known as the distributive property or distributive property of multiplication over addition, is a fundamental property of arithmetic and algebra that allows the distribution of a multiplication operation over an addition or subtraction operation.

The distributive law states that for any three numbers a, b, and c:

a × (b + c) = (a × b) + (a × c)

According to the given information:

To subtract (8h + 7) - (7h + 6), we can use the distributive property of multiplication over addition to simplify the expression.

(8h + 7) - (7h + 6)

= 8h + 7 - 7h - 6 (Applying the distributive property)

Now, we can combine like terms by adding or subtracting coefficients of the same variable:

= (8h - 7h) + (7 - 6) (Grouping-like terms)

= h + 1 (Simplifying)

So, the simplified form of the expression (8h + 7) - (7h + 6) is h + 1.

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Related Questions

DUE FRIDAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!! 20 POINTS
Students in a high school mathematics class decided that their term project would be a study of the strictness of the parents or guardians of students in the school. Their goal was to estimate the proportion of students in the school who thought of their parents or guardians as “strict”. They do not have time to interview all 1000 students in the school, so they plan to obtain data from a sample of students.
1. Describe the parameter of interest and a statistic the students could use to estimate the parameter.



2. Is the best design for this study a sample survey, an experiment, or an observational study? Explain your reasoning.



3. The students quickly realized that, as there is no definition of “strict”, they could not simply ask a student, “Are your parents or guardians strict?” Write three questions that could provide objective data related to strictness.



4. Describe an appropriate method for obtaining a sample of 100 students, based on your answer in question 1.

Answers

The percentage of students at the school who describe their parents or guardians as "strict" is the key statistic. 2. A sample survey is the ideal research design for this project.

What is Proportion?

Since it would be impractical to poll all 1000 kids at the school, the students intend to collect data from a sample of students in order to concentrate on the strict guardians, which is a population parameter.

The sample proportion could be used by the students as a statistic to determine this population proportion. They can ask a sample of pupils drawn at random from the school whether they think their parents or guardians are "strict". The percentage of sample kids who respond "yes" can be used to approximate the percentage of school-wide students who view their parents or guardians as "strict". A statistic that offers an estimate of the population parameter of interest is the sample proportion.

Random sampling would be a suitable technique for generating a sample of 100 pupils. Each kid in the school might be given a number, and the pupils could then use a random number generator to choose 100 numbers from the list. The chosen students might then be contacted and asked to take part in the study. This technique lessens the possibility of bias in the sample selection process and aids in ensuring that the sample is representative of the population.

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3/8x - 6 = 1/2(4 - x)

Answers

Answer:

x= 64/ 7

Step-by-step explanation:

3/8x - 6 = 1/2(4 - x)

3/8x - 6 = 2- 1/2 x

3/8x - 8 = - 4/8 x

so 7/8 x = 8

x = 64/7

What is the value of the quadratic equation: y=4x^2+8x+7

Answers

The value of quadratic equation with the help of  hit and trial method is 39

what is quadratic equation ?

A quadratic equation is a polynomial equation of degree 2, which means that the highest power of the variable (usually x) in the equation is 2. It is in the form:

ax^2 + bx + c = 0

where a, b, and c are constants and a is not equal to zero.

According to given information

the value of  given quadratic equation is

given

y=4x²+8x+7

using hit and trial method:

The value of the quadratic equation y = 4x² + 8x + 7 depends on the value of x.

To find the value of y for a specific value of x, simply substitute that value of x into the equation and solve for y.

For example, if x = 2, then:

y = 4(2)² + 8(2) + 7

y = 16 + 16 + 7

y = 39

So the value of the quadratic equation y = 4x^2 + 8x + 7 when x = 2 is 39.

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If the reentry angle is 6.5°, what is x?



WORTH A LOt OF POINTS !!

Answers

Given the above conditions in the word problem above, x is also equal to 6.5°.

What is the explanation for the above response?

The angle x is the angle between this perpendicular line and the Earth's surface. It is also equal to the angle between the tangent line and the horizontal axis.

Since the reentry angle is 6.5°, we know that the tangent line makes an angle of 6.5° with the horizontal axis. We also know that the tangent line and the perpendicular line form a right angle, so the angle between the perpendicular line and the horizontal axis is 90° - 6.5° = 83.5°.

Finally, we can subtract this angle from 90° to find x:

x = 90° - 83.5° = 6.5°

Therefore, x is also equal to 6.5°.

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On Wednesday, Gavriel ran 5 miles. On Thrusday, he ran 3/4 as far. How far did he run on Thursday

Answers

He run on Thursday is 3.75 miles.

Algebra helps in converting a mathematical statement into an equation. We know if we have ‘more’ or ‘sum’ in the given sentence we use addition operation (+) . Similarly If we have ‘less’ or ‘difference’ we use subtraction (−) . If we have a ‘quotient’ we use division operation (÷) . To define more generalized terms; we use algebra. It is a very vast branch of mathematics and is used in all the branches of mathematics like polynomial, linear equations, graphs, etc. and in daily life too.

Now, Gavriel ran 5 miles on Wed

and,  On Thursday, he ran 3/4 as far.

We have to find the how far did he run on Thursday.

On Thursday , The distance will be:

=> 5 × 3/4

=> 15/4

=> 3.75 miles

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A national survey of heads of households showed the percentage of those who asked for a raise and the percentage who got one. According to the survey, of the women interviewed, 24% had asked for a raise, and of those women who had asked for a raise, 45% received the raise. If a woman is selected at random from the survey population of women, find the following probabilities.
(a) P(woman asked for a raise) = _____.
(b) P(woman received raise, given she asked for one) = _____.
(c) P(woman asked for raise and received raise) = _____.
Probability

Answers

The following probabilities are found under the condition that  a certain national survey of heads of households P(woman asked for a promotion) = 24%, P(woman received promotion, given she asked for one) = 45%, P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%


Now,
Regarding  a national survey concerning the head od households,  only 24% of women interviewed had requested for a promotion and of those women who had asked for a promotion, 45% received the raise.

Therefore,


(a) P(woman asked for a promotion) = 24%
(b) P(woman received promotion, given she asked for one) = 45%
(c) P(woman asked for promotion and received raise) = (24% x 45%) = 10.8%

Probability refers to the percentage of an event taking place in a required time frame, in a specified place. It is considered a great aid in the fields of science and mathematics.

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Find the compound interest and the total amount after one year if the
interest is compounded quarterly.
Principal
3256
Rate of interest = 100% per annum
=

Total amount = {
Compound interest=

Answers

Answer: The compound interest is $409.49, and the total amount after one year is $3,665.49.

Step-by-step explanation:

We can use the formula for compound interest to solve this problem:

A = P(1 + r/n)^(nt)

where:

P = the principal (in this case, $3,256)

r = the annual interest rate (100%, or 1 as a decimal)

n = the number of times the interest is compounded per year (4, since it's compounded quarterly)

t = the number of years (1)

Plugging in the values we know, we get:

A = $3,256(1 + 1/4)^(4*1)

A = $3,256(1.25)^4

A = $3,665.49 (rounded to the nearest cent)

To find the compound interest, we can subtract the principal from the total amount:

Compound interest = $3,665.49 - $3,256 = $409.49

Therefore, the compound interest is $409.49, and the total amount after one year is $3,665.49.

A fifth grade teacher is designing a game based on one of her favorite children's books. While reading the book she counted the number of white cats, black cats, and brown cats that appear in the illustrations. The table below summarizes her data. (Use the data box in the picture :D)

The teacher wants to use a probability model to simulate the counting of cats. She wants the probability of counting a cat of a certain color to match the frequency of white, black and brown cats in the book.

Select all the probability *devices* that would best represent the observed probabilities from the table shown.

A)Spinner
B)Color Cube
C)Bags or Marble
D)Front View and Rear View

Please help :D

Answers

Answer:

color cube

Step-by-step explanation:

The answer is color cube

Suppose the ages of cars driven by employees at a company are normally distributed with a mean of 8 years and a standard deviation of 3.2 years.

What is the z-score of a car that is 6 years old?



Responses

−1.6
negative 1.6

−0.625
negative 0.625

0.625
0.625

1.6

Answers

The z-score of a car that is 6 years old is  -0.625.

To find the z-score of a car that is 6 years old, we can use the formula:

z = (x - μ) / σ

where x is the value we are interested in (in this case, 6 years old), μ is the mean of the distribution (8 years), and σ is the standard deviation (3.2 years).

Plugging in the values, we get:

z = (6 - 8) / 3.2 = -0.625

Therefore, the z-score of a car that is 6 years old is -0.625. This indicates that the car is 0.625 standard deviations below the mean age of cars driven by employees at the company. Since the distribution is normal, we can use this z-score to find the probability of finding a car with an age of 6 years or less, using a z-table or a calculator.

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(I NEED THIS ASAP)

5. A cylinder has radius 3 inches and height 5 inches. A cone has the same radius and height. (Lesson 5-13)

b. Find the volume of the cone.

c. What fraction of the cylinder's volume is the cone's volume?

Answers

Answer:

Step-by-step explanation:

V=15

fraction of cylinder volume is=22

Which polynomial represents the difference below?
(7x² + 8) - (4x²+x+6)
A. 3x²+x+14
OB. 3x²-x+2
OC. 11x²-x+ 2
OD. 11x²+x+14
SUBMIT

Answers

The correct answer is B. 3x²-x+2.

Solve the equation. Round to the nearest tenth if necessary. 196=n^2​

Answers

Answer:

10

Step-by-step explanation:

An amount of R6000 is made up of R100 and R50 notes. There are 4 times as many R50 notes as there are R100 notes. how many notes are there?

Answers

Answer:

There are 20 R100 notes and 80 R50 notes.

Step-by-step explanation:

Let's call the number of R100 notes "x" and the number of R50 notes "4x" (since there are 4 times as many R50 notes as R100 notes).

We can set up an equation to represent the total value of the notes:

100x + 50(4x) = 6000

Simplifying:

100x + 200x = 6000

300x = 6000

x = 20

So there are 20 R100 notes and 4 times as many R50 notes:

4x = 4(20) = 80

Therefore, there are 20 R100 notes and 80 R50 notes.

What is 2 X 2 X 8 + 25?

Answers

2 x 2 = 4

4 x 8 = 32

2 x 2 x 8 + 25 = 32 + 25 = 57

Therefore, the answer is 57.

Answer:

57

Step-by-step explanation:

2 X 2 = 4

4 X 8 = 32

32 + 25 = 57

Define:
Permutation
Factorial
Series
Circular permutation

Answers

Answer: Permutation: A permutation is an course of action of a set of objects in a particular arrange. The number of conceivable changes of a set of n objects is n factorial (n!), which is the item of all positive integrability up to n.

Factorial: The factorial of a non-negative numbers n is signified by n! and is characterized as the item of all positive integrability less than or rise to to n. For case, 5! = 5 x 4 x 3 x 2 x 1 = 120.

Series: A arrangement may be a entirety of terms organized in a particular arrange. The entirety of the terms in a arrangement is called its add up to.

Circular permutation: A circular stage may be a stage of a set of objects in a circular course of action, where the arrange of objects things, but the beginning point is subjective. For case, orchestrating the letters A, B, and C in a circle would result in 3 circular stages: ABC, BCA, and CAB. The number of conceivable circular stages of a set of n objects is (n-1)!.

Step-by-step explanation:

Permutation-
the action of changing the arrangement, especially the linear order, of a set of items.

Factorial-
relating to a factor or factorial.

Series-
a set of quantities constituting a progression or having the several values determined by a common relation.

Circular permutation-
permutation of the elements of some set X which maps the elements of some subset S of X to each other in a cyclic fashion, while fixing all other elements of X. If S has k elements, the cycle is called a k-cycle.

What is the factored form of x² + 5x+6?

Answers

The factored form of the expression x² + 5x+6 is (x + 3)(x + 2)

How to determine the factorized form

To factorize the quadratic equation, we need to take the following steps;

Multiply the coefficient of the x squared by the constant value, we have;

6

Now, find the pair factors of the product that would add up to give 5, we have;

2 + 3

Substitute the values into the expression, we have;

x² + 2x + 3x + 6

Now, group the expression in pairs, we have;

(x² + 2x) + (3x + 6)

Factorize the expressions

x(x + 2) + 3(x + 2)

Then, we have;

x + 3

x + 2

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Find the measure
Find the measure
of the complement of a 14° angle.
of the supplement of a 14° angle.

Answers

The Complement of a 14° angle is 76°, while the supplement of 14° angle is 166°.

What is the Complement of an Angle?

Recall that two angles that have a sum of 90 degrees are referred to as complementary angles. This implies that, if x is an angle, its complement is (90 - x).

Also, the supplement of an angle is the angle measure that is added to it to make it 180 degrees. This implies that if x is an angle, its supplement would be (180 - x).

Therefore, we have:

Complement of a 14° angle = 90 - 14 = 76°.

Supplement of 14° angle = 180 - 14 = 166°.

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Find the are length of An Leave your answer in terms of it and round to the nearest hundredths

Answers

The exact length of arc AB is π feet. To round to the nearest hundredths, we get:

AB ≈ 3.14 feet

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

we can use the central angle and the fact that a full circle has a central angle of 360° to calculate the fraction of the circumference that AB represents.

Since the central angle, APB is 45°, we can calculate the fraction of the circumference that AB represents as:

45°/360° = 1/8

Therefore, AB represents 1/8 of the circumference of the circle.

If we let C be the circumference of the circle, then the length of AB can be calculated as:

AB = (1/8) * C

Since we do not know the value of C, we cannot calculate the exact length of AB. However, we can leave our answer in terms of π as:

AB = (1/8) * π * d

where d is the diameter of the circle.

If the diameter of the circle is 8ft, then the radius (r) is half of that, or 4ft. We can now use this value to find the exact length of AB.

The circumference (C) of the circle can be found using the formula:

C = 2πr

where π is the constant pi.

Plugging in the given value of the radius, we get:

C = 2π(4ft) = 8πft

Therefore, the exact length of AB is:

AB = (1/8) * C = (1/8) * 8π ft = π ft

Hence, the exact length of arc AB is π feet. To round to the nearest hundredths, we get:

AB ≈ 3.14 feet

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Jim is categorized as poor. Thus Jim’s daily income must be less than how much dollars? Jim must be earning less than dollars per day.

Answers

Jim's daily income must be less than $2 in order for him to be considered impoverished.

What is Income?

Income is an entity's ability to save and spend money during a given period of time, and it usually appears in terms of money. In principle, income can be hard to establish, and there may be variations depending on the field.

According to the World Bank's definition, there are two categories for impoverished people's salaries:

a) Moderate Poverty - A person is deemed to be in moderate poverty if their daily income is less than $2.

b) Extreme Poverty - While a person is deemed to be living in extreme poverty if they make less than 1.2 dollars per day.

Jim's daily wage must be less than $2 in order for him to be classified as impoverished.

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Let f be the function defined by f(x)=xlnx for x>0. On what open interval is f decreasing?

Answers

The function f(x) = xlnx is decreasing on the open interval (0, e^-1).

To find the interval on which the function f(x) = xlnx is decreasing, we need to find the intervals where the first derivative f'(x) is negative.

Using the product rule of differentiation, we can find the first derivative of f(x) as

f'(x) = x × (1/x) + ln(x) × 1 = 1 + ln(x)

Now, we need to find the values of x where f'(x) < 0

1 + ln(x) < 0

ln(x) < -1

x < e^-1

Therefore, f(x) is decreasing on the interval (0, e^-1).

Note that we exclude x = 0 from the interval because the function is not defined for x ≤ 0.

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Solve for x. Round your answers to two decimal places. 3x2 + 2x = 6 a. x = 1.12 and x = −1.79 b. x = −1.12 and x = 1.79 c. x = 0.83 and x = −1.34 d. x = −0.83 and x = 1.34

Answers

The two solutions that satisfy the equation 3x^2 + 2x = 6 when rounded to two decimal places are x = 1.12 and x = −1.79. So, correct option is A.

To solve for x in the equation 3x^2 + 2x = 6, we need to rearrange the terms and use the quadratic formula:

3x^2 + 2x - 6 = 0 (subtract 6 from both sides)

x = (-b ± √(b^2 - 4ac)) / 2a (quadratic formula)

In this equation, a = 3, b = 2, and c = -6, so we can substitute those values into the quadratic formula:

x = (-2 ± √(2^2 - 4(3)(-6))) / 2(3)

x = (-2 ± √(4 + 72)) / 6

x = (-2 ± √(76)) / 6

Simplifying this expression, we get:

x = (-2 ± 2√(19)) / 6

x = (-1 ± √(19)) / 3

Rounding these solutions to two decimal places, we get:

x = -1.79 or x = 1.12

Therefore, the answer is (a) x = 1.12 and x = -1.79.

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Answer:

x = 1.12 and x = −1.79

Step-by-step explanation:

i got it right on my quiz

PLEASE HELP!
Question 1: y is directly proportional to x. If y=5 when x is 25:
a) Find an equation for y in terms of x.
b) Use your equation from part a) to find y when x is 100.

Question 2:
y ∝ x and y=132 when x=10
a) Find the value of y when x=14.
b) Sketch the graph of this proportion for x>0 and mark two points on the line.

Answers

1) The value of an equation for y in terms of x is, y = 1/5x

And, y = 20 at x = 100

2) y = 184.8 , at x = 14

The value of an equation for y in terms of x is, y = 13.2x

Given that;

1) y is directly proportional to x.

2) y ∝ x and y=132 when x=10

Now, For 1;

1) Since, y is directly proportional to x.

Hence, We get;

y = kx

Plug y = 5 and x = 25

5 = 25k

k = 1/5

Hence, The value of an equation for y in terms of x is,

y = 1/5x

And, Plug x = 100,

y = 1/5 x 100

y = 20

2) Since,  y ∝ x and y=132 when x=10

y = kx

132 = 10k

k = 13.2

Hence, At x = 14;

y = 13.2 x 14

y = 184.8

Thus, The correct equation is,

y = 13.2x

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Salary Raise: Men According to the same survey quoted in Problem 13, of the men interviewed, 20% had asked for a raise and 59% of the men who had asked for a raise received the raise. If a man is selected at random from the survey population of men, find the following probabilities: P(man asked for a raise); P(man received raise, given he asked for one); P(man asked for raise and received raise).

Answers

The evaluated probabilities for the given question are 0.20 for the men who asked for promotion, 0.59 for the men who received the promotion when asked, and  0.118 for men who asked for promotion and received.under the condition that from the men interviewed  20% had asked for a promotion and 59% of the men who had asked for a promotion and  received.
Then,
P(man asked for a promotion)
= 20/100
= 0.20

P(man received promotion, given he asked for one)
= 59/100
= 0.59

P(man asked for promotion and received )
= P(man asked for a promotion) x P(man received promotion, given he asked for one)
= 0.20 x 0.59
= 0.118
Probability is considered as  the percentage of an event taking place in a specific time frame, in a given place. It is said to be a great aid in the horizons of science and mathematics.


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A composite figure is formed with two cones and a cylinder.
What is the surface area of the composite figure?
32 cm
26 cm
12 cm
15 cm
A 5127.56 cm²
B
C
D
3317.52 cm²
1056 cm²
4222.30 cm²

Answers

Answer:is this an actual question

Step-by-step explanation:

what is the correct alternative hypothesis for the wilcoxon rank sum test? group of answer choices ha: the two samples come from the same distribution. ha: the population slope coefficient is not equal to zero. ha: one distribution is shifted in location higher or lower than the other. ha: the population means are equal.

Answers

The correct alternative hypothesis for the Wilcoxon rank sum test is: ha: one distribution is shifted in a location higher or lower than the other. Option C is the answer.

This means that the test is designed to determine if there is a significant difference between the medians of two independent groups, rather than testing for a difference in means.

The null hypothesis for the test is that there is no significant difference between the two groups, while the alternative hypothesis states that there is a significant difference.

The Wilcoxon rank sum test is a nonparametric test and is used when the assumptions of the t-test are not met, such as non-normality or unequal variances.

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given the plot of computing time ~ n, what is the best description of this computational complexity?

Answers

A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.

This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.

That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.

This shows that as the input estimate increments, the computational time will increment at the same rate.

 Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data. 

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Lea has two number cubes. The faces of each number cube are numbered from 1 to 6. Lea rolled the number cubes and recorded the number showing on the top face of each number cube. The results are shown in the table.

Based on these results, what is the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube?
*
1 point
Captionless Image
Your answer

Answers

We can deduce here that the experimental probability that the next time Lea rolls the number cubes, they will land with a 1 showing on the top face of one number cube and a 5 showing on the top face of the other number cube is: 1/36.

What is probability?

Probability is a measure for determining the possibility or chance that a specific event will take place. It is typically stated as a number between 0 and 1, where 0 denotes an impossibility and 1 denotes a certainty.

We can see that there is only one roll where one number cube that shows a 1 and the other number cube shows a 5. Therefore, the number of successful outcomes is 1.

The total number of rolls seen are: 36 rolls = 6 possible outcomes on the first number cube × 6 possible outcomes on the second number cube.

We can then see here that the probability will be = 1/36.

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(4x+11°) = (5x-10)
Please answer this
Help me

Answers

Answer:

x = 21

Step-by-step explanation:

(4x+11°) = (5x-10)

4x + 11 = 5x - 10

-x + 11 = -10

-x = -21

x = 21

Answer:

Step-by-step explanation:

1)Move all x terms to one side

11° = x - 10°

2)Move all constant terms to the other side

11° + 10° = x - 10° + 10°

21° = x

So the solution to the equation is x = 21°.

Subtract. Write your answer in simplest form.

6 3/4-2 3/20

Answers

The answer: 4 3/5
6 3/4-2 3/20 = 23/5 =>4 3/5 is the final answer

Which is the simplified form of m^8p^0

Answers

M^8 P^0
M^8•1

M^8 this is the simplified form
Other Questions
Date attributes contain calendar dates stored in a special format known as the __________ date format.a. Epochb. calendarc. Juliand. logical he contact hypothesis states that the more the members of different groups inter-act, the less intergroup conflict they will experience. True False A college student could be working as a waiter and earning US$20,000 annually. However, he is attending college and forgoing that income. This is an example of the _____ to attend college, a cost that the student hopes will be worth the investment in the long run. Use the image below of a physician to answer the following question:pwwPhoto Researchers/Image Quest 2012Which of the following figures made it possible for doctors today to study these types of images of the human body? (1 point)O George Washington CarverCharles Richard DrewO Marie CurieAlbert Einstein 12. What is the magnitude of the angular acceleration of the grindstone?A) 0.50 rad/s2B) 1.0 rad/s2C) 4.5 rad/s2D) 9.0 rad/s2E) 18 rad/s2 mrs lopez types at a constant rate the constant of proportionality for the relationship between the number of words she types w, and the number of minutes she types m,is 38 write an equation to show this relationship What is the minimum systolic pressure one should attempt to achieve with fluid administration or vasoactive agents in a hypotensive post-cardiac arrest patient who achieves ROSC? ___ consolidation involves a gradual reorganization of neural circuits that takes place over a longer period of time. 1. ) Any measure representing the center of a set of data arranged in a decreasing or increasing order of magnitude. 2. ) Commonly referred to as the average of all values. 3. ) Middle value in the set of data arranged in increasing or decreasing order. 4. ) Contains two modes. 5. ) Most frequently occurring score. pls answer my grade dropped to 75 last grading pls answer correctly 11:15 ! YO 40%& A. % MARKET SHARE (in units) [10 marks] Determine your market share in Montreal in terms of number of bicycles (units) sold this year. Assume the following: Your company sold a total o f 80 bicycles this year and all your competitors in Montreal sold a combined total of 320 bicycles. What is your company's market share in terms of bicycles (UNITS) sold this year? B. BREAK-EVEN POINT (in units) [10 marks] Assume the following: Fixed Costs = $3,500 / month Selling Price = $100 / bicycle Variable Costs = $50 / bicycle What is the break-even point (in units)? C. MARKUP (in $) (10 marks) Assume that Bikes R' Us (BRU), a Montreal bicycle retail store, purchases three Top Cycle bicycles for $125 each. If BRU sells each of the Top Cycle bicycles for $169 what is BRU's markup? Control of temperature, of autonomic nervous reflexes, of hunger, and of sleep are functionsassociated with theA) thalamus. B) medulla. C) hypothalamus. D) cerebellum. A sudden cessation of sweating in a person engaged in outdoor sports activities may be a sign of- heat stroke.- dehydration.- hypothermia.- exertional distress.- heat stress. A key dynamic within any Multi-National Corporation(MNC) is cash and foreign exchange risk exposure. Cash managementis critical and also heavily influenced by global dynamics,especially since COVID-19. Within the Caribbean and North American jurisdiction, the economic framework is tightly connected with the major Asian economies of China, the United Kingdom and Japan. The Caribbean and the North American economy have been a barometer of the global economic cycle.For both Caribbean and North American economies, many Multi-National Corporations have made significant investments to reduce the production cost of goods and diversification benefits. Despite the benefits that could materialize, some North American countries have not been resilient through Global market shocks. Given this context, the following questions require research within the Caribbean context and current market dynamics since COVID-19.Question:Explain two benefits of netting. How can a centralized cash management system be beneficial to an MNC located in the Caribbean? (6 Marks) to properly monitor the strength of a chemical sanitizing solution, a food service manager should A. measure the temperature of the solution B. observe the color of the solution C. use the test strips to measure proper PPM (parts per million) D. check the cleanliness of the plates being sanitized You have 10 grades in your math class. After ordering them from least to greatest, this is the data set: {80, 82, 82, 83, 85, 88, 92, 95, 95, 96}. Which statement is true about the mode?The mode is 95.The mode is 82.There are two modes: 82 and 95.There is no mode how dose anatomy show evidence for evolution? ( i need 2-3 examples if possible) Stereotypes are often by-products of how we ____ our complex world Joan has a square flower bed with a side length of 4 meters filled with tulips. There are a total of 354 tulips in the bed.Find the density of tulips for the area of the bed. Round to the nearest tenth if necessary. Study the coordinate plane below.A certain polygon has its vertices at the following points.(1,8), (4,3), (7,3), and (8,8)What is the best description of this polygon? A. parallelogram B. trapezoid C. rhombus D. squareReset 2) (8.7A) The volume of the prism shown is 241.92 in. What is the height of the prism?Enter your answer in the box.5.6 in.5.4 in.