If the statement is true, type true in the space provided. If it is false, replace the underlined words with the words that will make the statement true.

If The Statement Is True, Type True In The Space Provided. If It Is False, Replace The Underlined Words

Answers

Answer 1

The Solution:

Given the statement:

\(\text{ The conjugate of (y+3) is (y}+3)\)

We are asked to tell whether the above statement is True or False, if false then write the correct expression that will make the statement to be true.

So, the above statement is FALSE.

\(\text{The conjugate of (y+3) is (y-3)}\)

So, the correct expression that will make the original statement to be true is:

\(y-3\text{ in the place of the underlined expression}\)

Therefore, It is FALSE.

The correct expression for the conjugate is (y-3)


Related Questions

We saw that about 34% of
all students received at least one referral. Suppose we have concerns about the number of
disciplines in one particular school - it seems very high, and we've had concerns from parents at the school. In one particular year, 162 out of the 340 students at that school had a referral.
a. If we selected a random sample of 340 students, would the sample proportion that are
disciplined be approximately normally distributed? Why or why not?
b.
Use the normal distribution to find the probability of randomly selecting a sample of 340
students and finding that 162 of them or more have received a referral during that
particular year.
C. Would we think that is unusual? Explain your reasoning.

Answers

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

what is probability ?

It is a scale among 0 and 1 that represents the probability or likelihood of an event happening. In many disciplines, including statistics, physics, economics, law, and computer science, probability theory is extensively used. Many situations, such as games of chance, weather predictions, medical diagnoses, and more, can be explained using the concept of probability. The mathematical computation of probabilities, the analysis for random variables, and the conclusion-making process are all included in the study of probability.

given

The likelihood that 162 or more kids in a randomly chosen sample of 340 pupils will have received a referral in that particular year can be calculated using the normal distribution.

Calculating the sample proportion is necessary:

The predicted value of p is equal to the 0.34 underlying proportion of referred pupils. It is possible to compute the sample proportion's standard deviation as follows:

P equals sqrt[p(1-p)/n] = sqrt[0.34(1-0.34)/340] = 0.031

Calculate the z-score to determine the likelihood of locating 162 or more kids with referrals:

\(z = (0.476 - 0.34) / 0.031 = 4.39\)

The likelihood of discovering a z-score of 4.39 or higher with a regular normal distribution table or calculator is extremely low, roughly 0.00001.

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Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?

Answers

Answer:

i have no clue

Step-by-step explanation:

tbh

A price study tracked the cost of a bag of groceries over a five-year period. The data can be modeled by a function of the form C=a(b)x
C
=
a
(
b
)
x
, where x
x
represents the number of years since the study began.

Grocery Price Study
Years Since
Study Began Cost
($)
0 30.00
1 32.10
2 34.35
3 36.75
4 39.32
Which value is the best prediction of the cost of the groceries nine years after the beginning of the study?

Answers

To find the best prediction of the cost of the groceries nine years after the beginning of the study, we need to use the given data to find the values of a and b in the function C=a(b)x. So, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

To do this, we can use the first data point where x = 0:
30 = a(b)^0

This simplifies to:  

30 = a
So, we know that a = 30.

Next, we can use any other data point to solve for b. Let's use the second data point where x = 1:
32.10 = 30(b)^1

This simplifies to:
32.10 = 30b
b = 1.07
Now we can use the function C = 30(1.07)^x to find the best prediction of the cost of the groceries nine years after the beginning of the study:
C = 30(1.07)^9
C ≈ $53.34

Therefore, the best prediction of the cost of the groceries nine years after the beginning of the study is $53.34.

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8 (x-y) ; use x 7, and y 2

Answers

Answer:

40

Step-by-step explanation:

8(7-2)=40

someone mind helping me in the question......thank you :) ....​

someone mind helping me in the question......thank you :) ....

Answers

Answer:

NY: 4cm + 3cm = 7cm

XY: 8cm + 3cm = 11cm

   

Step-by-step explanation:

1. find the difference between XN and MN

2. use the difference to add to the value LN and LM

Suppose we have a random sample of size n = 5 from a continuous uniform distribution on the interval [0, 1]. Find the probability that the third largest observation in the
sample is less than 0.7.

Answers

The probability that the third largest observation in the sample is less than 0.7 is  0.2401 =  24.01%.

How do we calculate?

The sample size n = 5,

Therefore the order statistics will be represented as X₁, X₂, X₃, X₄, and X₅.

Probability that X₃ is less than 0.7:

Since X₃ is the third largest observation =  (X₁ and X₂) < 0.7.

The probability that X₃ is less than 0.7 is (0.7)² = 0.49.

The Probability that X₁ and X₂ <  or equal to 0.7 is found as:

.

The probability that both X₁ and X₂ are less than or equal to 0.7 is (0.7)² = 0.49 because in a continuous uniform distribution, the probability of any single observation being less than 0.7 is 0.7 - 0 = 0.7.

We then get the product of both cases:

Probability = 0.49 * 0.49 = 0.2401

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Find the unknown value.

Find the unknown value.

Answers

Answer:

30

Step-by-step explanation:

A simple way to find an unknown value in an equality with fractions is to cross-multiply:

How to cross-multiply:

1. Multiply the first numerator by the second denominator (or vise versa).

2. Multiply the second numerator by the first denominator(or vise versa).

3. Put these values into an equation, making them equal to one another.

4. Find the unknown value by solving the equation.

Now, using your problem, I will take you through the steps of cross-multiplying:

(The unknown value will be written as a variable x.)

(1.)  15 × 10 = 150

(2.)  5 × x = 5x

(3.)  5x = 150

Divide both sides of the equation by 5 to find the exact value of x.

\(\frac{5x}{5}\) = \(\frac{150}{5}\)

After dividing, the equation will show x = 30, which is the unknown value.

>> Answer

___________

\( \: \)

\( \frac{15}{ \boxed{}} = \frac{5}{10} \)

\( \frac{15}{x} = \frac{5}{10} \)

\(x = \frac{15 \times 10}{5} \)

\(x = \frac{150}{5} \)

x = 30

what percent of 88 is 33?

Answers

Answer:

37.5

Step-by-step explanation:

Suppose that y varies directly with x, and y=3 when x=15

Find y when x=10

Answers

Answer:

yaa , when X=15, y = 3;

here the value of X is five times the value of y

so when X= 10

then. y =X/5 = 10/5= 2

so the value of y will be 2

hope you like the answer

Cyber Monday Shopping A survey of 1000 U.S. adults found that 33% of people said that they would get no work done on Cyber Monday since they would spend all day = shopping online. Find the 95% confidence inter- val of the true proportion.

Answers

The mean of your estimate minus the variation in that estimate is called a confidence interval. Within a certain range of confidence, this is the range of values that you anticipate your estimate to fall within.

(0.301; Phat = 0.33 (1 - phat) = 1 - 0.33 = 0.67

Z critical at 95 percent = 1.96

Confidence interval: 0.359

Phat's error margin is as follows:

Z critical * sqrt [(phat (1 - phat)) /n] = 1.96 * sqrt [(0.33 * 0.67) / 1000] = 1.96 * 0.0148694 = 0.0291440

Lower boundary = 0.33 - 0.0291440 = 0.300856

Upper boundary = 0.33 + 0.0291440 = 0.359144 (0.301; 0.359)

What is the 95% confidence interval?

You have a 5% chance of being wrong with a 95% confidence interval. You have a ten percent chance of being wrong with a confidence interval of ninety percent. A confidence interval of ninety-nine percent would be larger than a confidence interval of ninety-five percent (for instance, plus or minus 4.5 percent as opposed to 3.5 percent).

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What is M+12-10? Hurry

Answers

Answer:

The answer is M + 2, if thats wat ur asking for.

Step-by-step explanation:

Answer:

M+2

Step-by-step explanation:

M+12-10

Since there are only 12 and -10 that are the same you can add them together to get 2 and that is pretty much what you could do unless you find what M is.

Hope this helps!

Match the following. Match the items in the left column to the items in the right column. 1. domain the first element of a relation or function; also known as the input value. 2. output a relation in which every input value has exactly one output value. 3. input the x-value of a function. 4. relation any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane. 5. function the y-value of a function. 6. range the second element of a relation or function; also known as the output value.

Answers

The matching of items and their corresponding descriptions are 1. Domain, 2.Output, 3. Input, 4. Relation, 5. Function, and 6. Range.

What is the appropriate matching of the following items?

1. Domain - the first element of a relation or function; also known as the input value.

3. Input - the x-value of a function.

6. Range - the second element of a relation or function; also known as the output value.

4. Relation - any set of ordered pairs (x, y) that are able to be graphed on a coordinate plane.

2. Output - a relation in which every input value has exactly one output value.

5. Function - the y-value of a function.

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Find the area of each parallelogram below. Show all of your work.

Answers

Answer:

i

Step-by-step explanation:

Geometry need help asap

Geometry need help asap

Answers

On solving the provided question, we can say that -  here in quadrilateral we have x + 146 + 47 + y = 360 => \(x= 83.5\)

what is quadrilateral?

A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.

here,

x + 146 + 47 + y = 360

2x + 193 = 360

2x = 167

\(x= 83.5\)

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Complete the following using all of the numbers
1, 2, 3, 4, 5, 6

to find the smallest even number

Must be in the format
____ - ____ (3 digit numbers only)

Answers

Answer:

Step-by-step explanation:

hdhdhdhdh

Answer:

The answer is

\(465 - 321\)

Or;

\(456 - 312\)


Riya is 5 cm taller than Mikhail. Find
Riya's height if the height of Mikhail is
(a) 160 cm,
(b) 168 cm,
(c) h cm.

Answers

Answer:

UHHH WAT? i think its c but what is mikahil hight???

Step-by-step explanation:

Answer:

B 168cm nejwjjahahshshdd

Step-by-step explanation:

Hope it helps

Which statement is the converse of the conditional statement:
If point B bisects line segment AC into two congruent segments, then point B is the midpoint.
• If point B is the midpoint, then point B bisects line segment AC into two congruent segments.
O If point 8 is not the midpoint, then point B does not bisect line segment AC into two congruent segments.
Point B bisects line segment AC into two congruent segments if, and only if, point B is the midpoint.
O if point B
does not bisect line segment AC into two congruent segments, then point B is not the midpoint.

Answers

Point B is the midpoint if it divides line segment AC into two congruent segmentsIf point B is not the midpoint, then point B does not divide the line segment AC into two congruent segments, which is the statement opposite to the one that has been made.

Which statement is the converse of the conditional statement ?

A point that separates a segment into two congruent segments is the segment's midpoint.The segment is bisected by a point (or segment, ray, or line) that separates it into two congruent segments.Trisecting is the process of dividing a segment into three congruent segments using two points (segments, rays, or lines). A perpendicular bisector is a segment, ray, line, or plane that is perpendicular to another segment at its halfway. The x-coordinate of the midpoint M of the line segment AB is, as we can see from the formula, equal to the arithmetic mean of the x-coordinates of the segment's two endpoints.The midpoint's y-coordinate is also equal to the mean of the endpoints' y-coordinates. Even a unique postulate just for midpoints exists.Midpoint of a Segment Hypothesis.Any line segment will only have one midpoint, neither more nor less. Any line segment with equal measure is referred to as a congruent line segment.Congruent line segments, for instance, refer to the sides of an equilateral triangle since they all have the same length. Line segments that are congruent have the same length.There is a point in a line segment that will divide it into two congruent line segments.The middle is where you are now. A segment bisector runs through the middle of a line segment and divides it into two congruent portions.A segment bisector that intersects the segment at a right angle is called a perpendicular bisector.AB B C A C D E By applying algebraic techniques to solve the midpoint formula for one endpoint, the endpoint formula can be discovered.After performing the necessary algebra, (xa,ya)=((2xmxb),(2ymyb)) (x a, y a) = ((2 x m x b), (2 y m y b)) is the formula for the Endpoint A A of line AB A B.

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A cone with a radius of 4 inches and a slant height of 10 inches is shown.
What is the surface area of the cone, in square inches?
62.8
125.7
150.8
O 175.9
4 in.
10 in.

A cone with a radius of 4 inches and a slant height of 10 inches is shown.What is the surface area of

Answers

Answer:

167.6190 approximately 167.62 inches

Step-by-step explanation:

formula for surface area of a cone is 1/3πr×r×slant height. How this helps.

The resultant of two forces acting at a point at right angles to each other is 240 pounds. Determine the horizontal force makes an angle of 56° with the resultant.​

Answers

HORIZONTAL FORCE = 134.4 pounds

The resultant of two forces acting at a point at right angles to each other is 240 pounds. Determine
The resultant of two forces acting at a point at right angles to each other is 240 pounds. Determine
The resultant of two forces acting at a point at right angles to each other is 240 pounds. Determine

is i say hi with 20 hands and i subtracted it by 10 how many hands do i have.​

Answers

Answer:

10

Step-by-step explanation:

20-10=10

Answer:

10

Step-by-step explanation:

20-10 = 10

Han made some hot chocolate by mixing 4 cups of milk with 6 tablespoons of cocoa
how many cups of milk is that
how many cups of cocoa is that

Answers

Han produced hot chocolate by combining 6 tablespoons of cocoa with 4 cups of milk. For every spoonful of cocoa, 0.67 glasses of milk are required.

The relationship between two values is described by a ratio. It displays how frequently one value appears in another. The answer to this question will depend on how many cups of milk there are to every tablespoon of chocolate.

Divide the provided cups of coffee by the cost of the tablespoon of coffee to get the required quantity of milk per tablespoon of chocolate.

Cups per tablespoon of coffee equal cups of milk divided by tablespoons of cocoa.

Given that,

Number of cups of milk = 4

Tablespoons of cocoa = 6

4/6=0.67 cups

Therefore, for every spoonful of cocoa, 0.67 glasses of milk are required.

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Starting salaries of 130 college graduates who have taken a statistics course have a mean of $44,783. The population standard deviation is known to be $10,272. Using 99% confidence, find both of the following:
A.The margin of error:
B. Confidence interval:

Answers

A. The margin of error for a 99% confidence interval is $$2,320.75.

B. The confidence interval for the mean starting salary of college graduates who have taken a statistics course is CI = $42,462.25 to $47,103.75

How to find both of the margin of error and confidence interval?

PART A.

The margin of error (ME) is determined using the formula:

ME= z ∗ σ/√n

where:

z is the z-score for the desired confidence level

σ is the population standard deviation

n is the sample size

For a 99% confidence level, the z-score is 2.576. The population standard deviation is $10,272, and the sample size is 130.

Substituting these values into the formula, we have:

ME =  2.576 ∗ 10272/√130

ME = $2,320.75

PART B

The confidence interval (CI) is determined using the formula:

CI = \(\bar{x}\) ± ME

where:

\(\bar{x}\) is the sample mean

ME is the margin of error

The sample mean is $44,783, and the margin of error is $2,320.75.

Substituting the values into the formula, we get:

CI= 44783 ± 2320.75

CI = $42,462.25 to $47,103.75

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This is a picture of a cube and the net for the cube.

What is the surface area of the cube?

Responses

30 cm²
30 cm²

70 cm²
70 cm²

125 cm²
125 cm²

150 cm²
150 cm²
A cube and a net of the cube are shown. The edge length of the cube is labeled 5 centimeters. The net consists of 4 squares connected vertically, and 1 square is attached to the left of the third square and 1 square is attached to the right of the third square. One square in the net is labeled with a side labeled 5 centimeters.

Answers

The surface area of the cube is 1536 ft².

We have,

The cube can be seen as 6 square areas in the net.

So,

The surface area of the cube.

= 6 x area of one square surface.

Now,

Side = 16 ft

Area of one square surface.

= side²

= 16²

= 256 ft²

Now,

The surface area of the cube.

= 6 x area of one square surface.

= 6 x 256

= 1536 ft²

Thus,

The surface area of the cube is 1536 ft².

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This is a picture of a cube and the net for the cube.What is the surface area of the cube?Responses30

sirjan earned rs 507000as commission by assisting in selling. if the commission was given at the rate of 6.5%, fint the selling price of the house

Answers

If Sirjan earned a commission of Rs 507000 at the rate of 6.5%, we can use the commission formula to find the selling price of the house. The selling price of the house is Rs 7800000.

We can use the formula for calculating commission to find the selling price of the house

commission = (rate/100) x selling price

where rate is the commission rate, and selling price is the price of the house.

We know that the commission earned by Sirjan was Rs 507000, and the commission rate was 6.5%. Substituting these values in the formula, we get

507000 = (6.5/100) x selling price

Multiplying both sides by 100/6.5, we get

selling price = (507000 x 100)/6.5

Simplifying this expression, we get

selling price = 7800000

Therefore, the selling price of the house was Rs 7800000.

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I need help with this please

I need help with this please

Answers

all because all of the equianlangular triangles are equal

Use StatKey or other technology to find the regression line to predict Y from X using the following data.
X 10 20 30 40 50 60
Y 111 109 110 94 92 93
Click here to access StatKey.
Round your answer for the intercept to one decimal place and the answer for the slope to two decimal places.
The regression equation is Enter your answer; The regression equation, intercept
+ Enter your answer; The regression equation, slope
X.

Answers

The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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What percent larger is 20.49 trillion to 4.00 trillion

Answers

20.49 trillion is 412.25% larger than 4.00 trillion.

How to calculate a percentage increase?

To calculate the percentage increase of a value from an initial value to a final value, you can use the following formula:

increase in percentage = ((final value - initial value) / initial value) x 100%

Percentage increase is useful in a variety of contexts, including: Finance, Sales, Economics, Science, Education. Percentage increase is a useful tool for measuring growth or change over time and comparing different values.

To find the percentage increase, we first need to calculate the difference between the two numbers:

20.49 trillion - 4.00 trillion = 16.49 trillion

Next, we can divide the difference by the original amount (4.00 trillion) and multiply by 100 to get the percentage increase:

(16.49 trillion / 4.00 trillion) * 100 = 412.25%

Therefore, 20.49 trillion is 412.25% larger than 4.00 trillion.

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[-12] + [4] find the absolute value of each integer then add them

Answers

Hello there!

Answer:

16

Step-by-step explanation:

\( |x| = x \: \: \: if \: \: x \: \geqslant 0 \\ |x| = - x \: \: \: if \: \: \: x \: \leqslant 0\)

-12 < 0 so |-12| = -(-12) = 12

4 > 0 so |4| = 4

|-12| + |4| = 12 + 4 = 16

Answer:

16

Step-by-step explanation:

Hello! This question is looking for the absolute value of integers. The absolute value is the distance the number has from zero. For example, -12 as twelve numbers away from zero, twelve away in the negative direction. The absolute value of -12, then, is just twelve. An easy way to remember this is to take away the negative sign when taking the absolute value, since an absolute value can never be negative. The absolute value sign is represented by a squarish bracket [ and ].

This question says to find the absolute value of each integer and then add the two. First we have [-12]. This is 12 away from zero, and we can take away the - sign from the asked integer and we get 12.

The second integer given is 4, and when we take the absolute value of 4, [+4], we get positive four. This is because four is four spaces away from zero on the number line.

Thus, we have +12 and +4 as are values to add since they are the absolute values and we can form this equation

12+4=16

Thus, the answer is 16.

Hope this helps! Remember the hint, when something has brackets like that or asks for the absolute value, take away a negative sign and make it positive! Have a great day!

If R is the midpoint of QS, find QS. QR=2x+16 RS=5x-17

Answers

Answer:

QS = 76

Step-by-step explanation:

Given R is the midpoint of QS, it means the distance from R to each endpoint is equal, that is:

QR = RS

We are given

QR = 2x + 16

RS = 5x - 17

Equating:

2x + 16 = 5x - 17

Subtracting 5x:

2x - 5x + 16 = -17

Simplifying:

-3x +16 = -17

Subtracting 16:

-3x = - 16 -17 = -33

Dividing by -3:

x = 11

Let's find

QR = 2x + 16 = 22 + 16 = 38

The length of QS is double this value: QS = 2*38 = 76

QS = 76

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!

PLEASE HELP ASAP!!!!!!!!!!!!!!!!!

Answers

Answer:

Twelve tickets cost $30 --> True

Thirty tickets cost $12 --> False

Each additional costs $2.50 --> True

The table is a partial rep --> True

ordered pairs --> False

Step-by-step explanation:

Twelve tickets cost $30 --> True, you can literally see that in the table

Thirty tickets cost $12 --> False, 30 is not in the table so you don't have that information. Besides, $12 is an unlikely low value for so many tickets.

Each additional costs $2.50 --> True, you can see the difference in the TotalCost column to be consistently 2.50.

The table is a partial rep --> True, values below 11 are not shown for example.

ordered pairs --> False --> Then the x value should be first, e.g., (11, 27.50), since the cost y is a function of the number x.

Other Questions
Like most innovations genetically modified foods are not without controversy. What is the meaning of innovations in this sentence? suppose your research team is designing a research study to measure consumer interest in buying product a. you plan to measure consumer interest by obtaining the percent of consumers in the study who are likely to purchase product a in the next 3 months. which of the following statements is true? group of answer choices a. the percent likely to purchase is the operational definition b. consumer interest in product a is the construct c. consumer interest in product a is the operational definition d. the percent likely to purchase is the construct a and b c and d 00:00Which of the following are partial products for 43 x 17? Choose all that apply.A 3UB. 21.28D. 40E 400 What is hydroelectric power?(I know if you copy it from the internet) Help please i need assistance on this equation that I dont understand quite well What statement is most accurate in describing the current trend in manufacturing in the United States?A. The U.S. is expected to become a manufacturing-based economy.B. Traditional manufacturing techniques have proved to be the most efficient and effective.C. Manufacturing jobs in the U.S. have declined significantly.D. Foreign competition has not affected U.S. manufacturers. Read and choose the correct option with the irregular verb in the future tense to complete the sentence.________ (Haber) un examen de gramatica en la clase de ingles maana. Group of answer choicesHabrHaberHabrsHabr If all sides of a cube measure 5cm and the mass of the cube is measured to be 952.5 what is the density of the cube help with this question please and thank you!:) A supporting sentence1. Develops, supports, or explains the main idea of a paragraph 2. transitions ideas from one paragraph to the next 3. introduces a new main idea into paragraph 4. Concludes a paragraph by restating the main idea The question is below! Will mark brainliest! Best answer! A magazine rack has a center of gravity 16 cm above the floor, as shown in the figure below (Figure 1). Through what maximum angle, in degrees, can the rack be tilted without falling over? Help,,,,,,,,,,,,,??????,,,,,?????? The legal mechanism for evaluating the existence of an incentive for a person's promise to establish a binding contract and acts as a receipt of a legal benefit or the suffering of a legal detriment is ________. Group of answer choices accord and satisfaction novation collusion consideration reversion WILL MARK YOU BRAINLIEST!! what are the photic and aphotic zones? In what way is the second sentence effective?. PLEASE HURRY!!!!!!Martha wanted to find out what her classmates favorite sport was. She separated the list of classmates into three age groups and then from each group, drew names from a hat so that the number in each group was proportional to the number in each age group. Was Marthas survey a random survey, and if so, which sampling method did she use? A. Yes, she used simple random sampling. B. Yes, she used systematic random sampling. C. Yes, she used stratified random sampling. D. No, she did not choose a random sample. justin and maddie have asked you to provide them with a comprehensive financial plan. during your initial meeting, you asked several questions to understand their feelings, goals, and objectives. based on this discussion, you believe a consultative approach should be used that specifically identifies their strengths and weaknesses, among other factors. which of these techniques is most closely aligned with your financial counseling approach in this case? a) economic and resource approach b) classical economics approach c) strategic management approach d) cognitive-behavioral approach What is the equation of the blue line there are two goods in the economy, apples and bread. the relative price of apples has increased. this could be due to