What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result?.

Answers

Answer 1

Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

What is distributive property?

Firstly, to distribute means to divide something or give a share or part of something.

Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.

Learn more about distributive property at: https://brainly.com/question/5637942

#SPJ1


Related Questions

8. Find (f+g)(x) if f(x) = 4x² - 5x and g(x) = 3x² + 6x - 4.​

Answers

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Here we go ~

[tex]\qquad \sf  \dashrightarrow \: (f + g)(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: f(x) + g(x)[/tex]

[tex]\qquad \sf  \dashrightarrow \: (4 {x}^{2} - 5x) + (3 {x}^{2} + 6x - 4)[/tex]

[tex]\qquad \sf  \dashrightarrow \: 7 {x}^{2} + x - 4[/tex]

Which best explains why the rotation represents an
isometric transformation?
the angle at point d remained a right angle.
the rectangle did not change shape or size..
point c remained the center of the rectangle.
point c did not remain the center of the rectangle.

Answers

The best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.

There are four main categories of transformations:

Translation (figure slides in any direction)Reflection (figure flips over a line)Rotation (figure turns about a fixed point)Dilation (the figure is enlarged or reduced)

A stiff transformation known as an isometry maintains perimeter and area while also preserving length and angle measurements. In other words, there is congruence between the preimage and the image. Translations, reflections, and rotations are therefore isometric, but dilations are not since the image and preimage are comparable, rather than congruent figures.

The transformation in the question will be isometric when the preimage of the rectangle before 360° rotation, will be congruent to the image after the rotation.

The congruency is best described by the option "The rectangle did not change shape or size", as that is the basis of congruency.

Thus, the best explanation for why the rotation is isometric is "The rectangle did not change shape or size". Hence the second option is the right choice.

Learn more about isometric transformations at

https://brainly.com/question/24095450

#SPJ4

The provided question is incomplete. For the complete question, refer to the attachment.

An example of a qualitative variable is Multiple Choice number of children in a family. weight of a person. color of ink in a pen. miles between oil changes.

Answers

Due to its subject-specific classification, ink color in pens is a qualitative variable.

What is a Qualitative variable?The factors that cannot be measured with a numerical value are known as qualitative variables. In order to define anything, these quantities are not quantified or tallied; instead, data is categorized.There is no numerical way to express it.Quantitative variableThe other choices are erroneous because the variables that are numerically specified in the other choices—an individual's weight, the number of children, and the number of miles—are these.Therefore, all of those are quantitative variables.

Consequently, option (C) is the appropriate choice.

Learn more about quantitative variables here:

https://brainly.com/question/14583272

#SPJ4

PLS HELP ME PLEASE
To measure the distance across a lake, a surveyor has taken the measurements shown in the diagram below. Determine the distance across the lake.

Answers

Using the law of cosines, it is found that the distance across the lake is of 978.5 feet.

What is the law of cosines?

The law of cosines states that we can find the angle C of a triangle as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

in which:

c is the length of the side opposite to angle C.a and b are the lengths of the other sides.

In this problem, the parameters are:

a = 800, b = 900, C = 70º.

Hence the distance across the lake is c, found as follows:

[tex]c^2 = a^2 + b^2 - 2ab\cos{C}[/tex]

c² = 800² + 900² - 2(800)(900)cos(70º)

c² = 957491

[tex]c = \sqrt{957491}[/tex]

c = 978.5.

The distance across the lake is of 978.5 feet.

More can be learned about the law of cosines at https://brainly.com/question/2491835

#SPJ1

Use the pythagorean theorem to prove that this point lies on the unit circle. Find csc(0) where 0=-120.

Answers

By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.

How to prove this point lies on the unit circle?

In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:

Reference angle = 180 - θ

Reference angle = 180 - 120

Reference angle = 60°.

For the coordinates, we have:

sin(-120) = -sin(60) = -1/2.

cos(-120) = -cos(60) = -√3/2.

By applying Pythagorean theorem, we have:

z² = x² + y²

z = √((-1/2)² + (-√3/2)²)

z = √(1/4 + 3/4)

z = √1

z = 1.

Read more on unit circle here: https://brainly.com/question/9797740

#SPJ1

Find the sum.
14 + 42 + 70 + ... + (28n − 14)

Answers

Answer:

14n^2.

Step-by-step explanation:

This is Arithmetic with first term a =  14 and common difference d =  28.

Sum of n terms = n/2[2a + (n-1)d]

= n/2(28 +( n -1)28]

= n/2(28 + 28n - 28)

= 14n^2

Answer:

14n²

Step-by-step explanation:

14 = 14 *1

42 = 14 *3

70 = 14 *5

28n -14 = 14*2n - 14 = 14*(2n -1)

14 + 42 + 70 + ........+(28n -14) = 14*1  + 14*3  + 14*5 + ....... + 14*(2n - 1)

                                               = 14 * (1 + 3 + 5 + ......+ (2n-1) )

                                               = 14 * n²

                                               = 14n²

1 + 3 + 5 + .... +(2n -1)  ->  sum of first 'n' odd numbers.

Formula for finding sum of first 'n' odd numbers  = n²

PLS HELPPP!!!! Look at pic

Answers

The correct option regarding whether the equation x² = y² is a function is:

No, since if you solve the equation for x, then [tex]x = \pm y[/tex]

What is needed for a relation to represent a function?

In a function, each value of x can be associated with only one value of y.

In this problem, the equation is:

[tex]x^2 = y^2[/tex]

Then:

[tex]x = \pm \sqrt{y^2}[/tex]

[tex]x = \pm \sqrt{y}[/tex]

x is associated with two values, [tex]-\sqrt{y}[/tex] and [tex]\sqrt{y}[/tex], hence it is not a function.

A similar problem, in which we verify if a relation is a function, is at  https://brainly.com/question/12463448

#SPJ1

Select the output of this algorithm

START

SET n = 4

SET d = 1

SET sum = 0

WHILE d < = n

IF n/d is integer THEN

sum = sum + d

ELSE

sum = sum + 0

END IF

d = d+1

END WHILE

OUTPUT sum

END

Answers

Answer:

bvjh

Step-by-step explanation:

bn

HELP‼️‼️‼️‼️‼️‼️

1. If 8x + 4y = 44, what is the value of 6x + 3y?

Answers

Answer:

33.

Step-by-step explanation:

8x + 4y = 44

4(2x + y) = 44

2x + y =  44/4 = 11.

6x + 3y

= 3(2x + y)

= 3 * 11

= 33.

A political campaign wants to estimate the number of adult residents who voted in the last city election. Answer the following. (a) Which of the following surveys probably would best represent the entire adult population of the city? 25 homeowners are randomly selected; 14 voted in the last election. 25 adult residents are randomly selected from the city; 10 voted in the last election. 25 senior residents are randomly selected; 11 voted in the last election. (b) There are 20,600 adults who live in the city. Using your answer from part (a), estimate the number of adults who voted in the last city election.

Answers

Using sampling concepts, it is found that:

a) The best method is: 25 adult residents are randomly selected from the city;

b) The estimate is that 11,536 adults voted in the election.

What is sampling?

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, the sample will be representative if all adults, no matter if senior or not, homeowners or not are represented, hence the best method is:

25 adult residents are randomly selected from the city;

The estimate of the number of adults that voted is:

14/25 x 20,600 = 11,536.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

What part of this question is an hour

Answers

Answer is 291 minutes of an hour
291 of 60 minutes
97/20 of an hour as a fraction

Step by step
11:24 to 12:00 is 36 minutes
12:00 to 4:15 is 255 minutes
Total minutes passed is 291 minutes
291 minutes over 1 hour
291/60 minutes
Simplify to 97/20 as a fraction
4.85 as a fraction

THE FIRST ONE TO ANSWER GETS BRAINLIEST OR FIVE STARS!! The earnings of part-time employees at a local computer repair store can be modeled by the equation y = 22x + 125, where x represents the number of hours worked and y represents the total earnings. Jasmine works at a competing store where she earns the same hourly rate. After working for 15 hours, she earned $555. Write an equation to represent Jasmine’s total earnings.

(picture just if I made a typo)

Answers

Answer:

In total she got $555 so we have to divide that to see how much she got per hour.

Step-by-step explanation:

y/x=?

$555/15= $37

Now how much money multiplied by how many hours

$37 X 15 = $555

I hope this helps, if you need any more information just comment!

Have an Amazing Day!!!

In which number is the value of the underlined digit ten times the value of the bold digit

Answers

Step-by-step explanation:

I don't see any numbers, so I just give you an example :

11

every position in a number is worth 10 times the value of the position to its very right.

so, in e.g. 11

the left 1 is worth 10 times the value of the right 1.

using a calculator, or otherwise,determine the value of(12.3)² - (0.246÷3) and write the answer
(i)exactly
(ii)correct to two significant figures ​

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Assuming the equation is:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\huge\textbf{If so, let's start simplifying it:}[/tex]

[tex]\mathsf{(12.3)^2 - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (12.3\times 12.3) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= (151.29) - (0.246 \div 3)}[/tex]

[tex]\mathsf{= 151.29 - 0.246 \div3}[/tex]

[tex]\mathsf{= 151.29 - 0.082}[/tex]

[tex]\mathsf{= 151.208}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\large\boxed{\mathsf{Exactly \rightarrow} \frak{\ 151.208\ } \& \textsf{ Corrected to two significant figures}\rightarrow \frak{150 \ or \ 151}}\large\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

HELP HELP HELP HELP
HELP HELP HELP HELP

Answers

Answer:

Vertex - (2, -1)

Axis of Symmetry - x = 2

X intercept - (3,0) (1, 0)

Y intercept (0, 3)

Domain - (negative infinity, positive infinity)

Range - [-1, infinity)

Step-by-step explanation:

I graphed with desmos and found it.

Here are the scores of 14 students on a geography test. 58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set.
Five-number summary
Minimum:

Lower quartile:
Median:
Upper quartile:
Maximum:
Interquartile range:

Answers

The five-number summary are as follows:

Minimum = 58Lower quartile(Q₁) = 67Median = 79Upper quartile(Q₃) = 82Maximum = 87Interquartile range = 15

How to solve for five-number summary?

The five-number summary is a set descriptive statistics which consist of the minimum, maximum, median, upper quartile, and lower quartile of a data distribution.

Therefore,

Given:

58, 60, 65, 67, 68, 72, 79, 79, 80, 81, 82, 86, 86, 87

Therefore,

Minimum = 58

Lower quartile(Q₁) = 67

Median = 79 + 79 / 2 = 79

Upper quartile(Q₃) = 82

Maximum = 87

Interquartile range = Q₃ - Q₁ = 82 - 67 = 15

learn more on  five-number summary here: https://brainly.com/question/4656888

#SPJ1

Someone help pls, its urgent! ASAP!!! (Geometry)
“Complete the proofs”

Answers

Question 11

1) [tex]\overline{BA} \cong \overline{FA}[/tex], [tex]\angle 1 \cong \angle 2[/tex] (given)

2) [tex]\angle A \cong \angle A[/tex] (reflexive property)

3) [tex]\triangle AEB \cong \triangle ACF[/tex] (ASA)

4) [tex]\overline{AC} \cong \overline{AE}[/tex] (CPCTC)

Question 12

1) Isosceles [tex]\triangle ACD[/tex] with [tex]\overline{AC} \cong \overline{AD}[/tex], [tex]\overline{BC} \cong \overline{ED}[/tex] (given)

2) [tex]\angle ACD \cong \angle ADC[/tex] (angles opposite congruent sides in a triangle are congruent)

3) [tex]\angle ACB[/tex] and [tex]\angle ACD[/tex] are supplementary. [tex]\angle ADC[/tex] and [tex]\angle ADE[/tex] are supplementary (angles that form a linear pair are supplementary)

4) [tex]\angle ACB \cong \angle ADE[/tex] (supplements of congruent angles are congruent)

5) [tex]\triangle ABC \cong \triangle AED[/tex] (SAS)

6) [tex]\overline{AB} \cong \overline{AE}[/tex] (CPCTC)

7) [tex]\triangle ABE[/tex] is an isosceles triangle (a triangle with two congruent sides is isosceles)

Note: I changed the names of the segments in Question 11 because of the word filter.

8 x -1/4 x -7 cara ngerjain nya bagaimana?

Answers

Ans is + 14
8*(-1/4)*-7
=2*(-1)*(-7)
=14

The area of the trapezoid shown is one 20 cm². Find the sum of the links of the two parallel sides.

Answers

The  sum of the links of the two parallel sides is 5cm

Area of a  trapezoid

The formula for calculating the area of a trapezoid is expressed as:

A = 0.5(a+b)h

where

h is the height of the trapezoid

a+b is the sum of the sides

Substitute

20 = 0.5(a+b)8

40 = 8(a+b)

a+b = 40/8

a+b = 5cm

Hence the  sum of the links of the two parallel sides is 5cm

Learn more on area of trapezoid here: https://brainly.com/question/1410008

#SPJ1

Please list how long it takes for each person to pack a shelf alone

Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes.

Kay and Elle take 35 minutes to do the same job.

When Jay and Elle work together, the job takes 42 minutes.

How long would each person take working individually?

Answers

It takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

What is Rate and Ratio ?

A ratio can sometimes be regarded as fraction. While rate has something to do with time.

Given that Jay and Kay can pack the shelves in one aisle of the supermarket in 30 minutes. Kay and Elle take 35 minutes to do the same job. When Jay and Elle work together, the job takes 42 minutes.

Let

J = Jay K = KayE = Elle

The interpretation of the question go thus;

1/J + 1/K = 1/30 ........ (1)

1/K + 1/E = 1/35 .........(2)

1/J + 1/E = 1/42 .........(3)

Make 1/J and 1/E the subject of formula in equation 1 and 2 respectively and substitute them in equation 3

1/J = 1/30 - 1/K  ........ (4)

1/E = 1/35 - 1/K  .........(5)

1/30 - 1/K + 1/35 - 1/K = 1/42

Collect the like terms

- 1/K - 1/K = 1/42 - 1/30 - 1/35

-2/K = (35 - 49 - 42)/1470

-2/K = -56/1470

1/K = 28/1470

Reciprocate both sides

K = 1470/28

K = 52.5 minutes.

Substitute K in both equation 4 and 5

1/J = 1/30 - 28/1470

1/J = (49 - 28)/1470

1/J = 21/1470

Reciprocate both sides

J = 1470/21

J = 70 minutes

1/E = 1/35 - 28/1470

1/E = (42 - 28)/1470

1/E = 14/1470

Reciprocate both sides

E = 1470/14

E = 105 minutes

Therefore, it takes Jay, Elle and Kay to work individually for 70 minutes, 105 minutes and 52.5 minutes respectively

Learn more about Rate here: https://brainly.com/question/8728504

#SPJ1

How would I do these questions?


A parabola has x- ints of -1 and 2 and passes through (4,10). Find its equation.

A parabola has x-ints of -2 and 3 and y int of -3. Find its equation.

A parabola has x-ints of 1/2 and 2 and passes through the point (1,3). Find its equation.


Any help will be greatly appreciated. I don't know the format of writing it out, so try to explain it easily so I can understand it. Thank you!

Answers

Answer:

Step-by-step explanation:

hello :

1)

the equation is : f(x)= a(x+1)(x-2)  because : x- ints of -1 and 2  means :

f(-1)=0 and f(2)=0

calculate : a   given f(4)=10

so :  a(4+1)(4-2)=10

10a =10   so : a = 1

the equation is : f(x)= (x+1)(x-2)

2) and 3) same method but   * y int of -3* meanes : f(0)= - 3

which facts are true for the graph of the function below check all that apply F(x)=log6x

Answers

Based on the graph of the function (F(x) = log6x), the following facts are true:

It is increasing. The x-intercept is (1, 0).

What is a graph?

A graph is a type of chart that is used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate i.e x-axis and y-axis.

By critically observing the graph of the function (F(x) = log6x) attached in the image below, we can infer and logically deduce that its domain and range include all real numbers that are greater than 0 (x > 0).

This ultimately implies that, the following facts are true:

It is increasing. The x-intercept is (1, 0).

Read more on graphs here: brainly.com/question/25875680

#SPJ1

Complete Question:

Which facts are true for the graph of the function below? Check all that apply. F(x) = log6 x

A. It is increasing.

B. The range is y > 0.

C. The x-intercept is (1, 0).

D. It is decreasing.

E. The y-intercept is (0, 6).

F. The domain is x > 6.

Find each difference and show work please !!

Answers

Answer:

X-19

Step-by-step explanation:

First you need to distribute the three into the numbers in the parenthesis,

(3 * x) + (3  * -5) - (2x + 4)

That then turns into,

3x - 15 - (2x + 4)

but we aren't done distributing yet, because the second set of parenthesis has a negative sign in front of it we also have to distribute that. (this is because the negative sign is really just -1)

3x - 15 + (-1 * 2x) + (-1 * 4)

that turns into,

3x - 15 - 2x -4

from here all we have to do is add like terms,

(3x - 2x) + (-15 + -4)

and that leaves us with: 1x -19 or x-19

Hope that helped :))  

If the coordinates of two points are A (-3,5) and B (-9, -6), then find the value of (abscissa of A) + (ordinate of B)​

Answers

Answer:

abscissa of A = -3

ordinate of B = -6

A+B = -3+(-6)= -3-6=

-9

When the decision maker must consider several possible outcomes for each alternative, each with a given probability of occurrence, this is decision making under a. uncertainty. b. risk. c. duress. d. certainty.

Answers

This is considered as decision making under risk.

Decision Making Under Risk

A circumstance in which the implications of the chosen course of action and the likelihood that it will occur are understood is referred to as decision-making under risk . For instance, the lottery selection tasks are frequently employed to examine the nature of decision-making in risky situations.

We make the assumption that there are two or more choices and that each alternative's characteristics are explicitly specified. For each attribute, the CV (coefficient of variation) is configured in case of such decision under risks. And, since in the given question, decision maker is supposed to consider several possible outcomes for each alternative, each with a given probability of occurrence. Thus the decision made will be decision under risk.

Learn more about decision under risk here:

https://brainly.com/question/14934193

#SPJ4

Find the arc length if the measure of the central angle is 80° and the radius
is 8 inches.

Answers

Answer:

[tex]\frac{32\pi }{9}[/tex] or [tex]11.17[/tex]

Step-by-step explanation:

The formula for arc length is [tex]2\pi r( \frac{x}{360} )[/tex] where "r" stands for radius and "x" stands for your angle

[tex]2\pi 8(\frac{80}{360} )[/tex]

[tex]=16\pi (\frac{80}{360} )[/tex]

[tex]=16\pi (\frac{2}{9})[/tex]

[tex]=\frac{32\pi }{9}[/tex]

Peter sells ice cream for a living. On Monday, his revenue was 150 dollars. On Tuesday, his revenue was 100 dollars. Finally, on Wednesday, his revenue was 50 dollars. How much is Peter's revenue so far?

Answers

Answer:

300 dollars

Step-by-step explanation:

Note that:

{Peter's revenue on Monday: 150 dollars

Peter's revenue on Tuesday: 100 dollars

Peter's revenue on Wednesday: 50 dollars}

---------------------------------------------------------------

In this problem, we need to find how much is Peter's revenue so far (total).

We need to use addition to determine how much Peter's revenue is in total.

So, add 150, 100, and 50.

We get 150 + 100 + 50 = 300

Finally, Peter's revenue in total is 300 dollars.

Answer:

$300

Step-by-step explanation:

add 150+100+50

=300

Let u - 4x? - 1. Find du. (4-1) du - Indicate how the limits of integration should be adjusted in order to perform the integration with respect to u. (Enter your answer using interval notation.) [0, 1] - Evaluate the definite integral. 01 Need Help? Read to a Tutor Consider the following. Let u = x + 1. Find du. du- Indicate how the limits of integration should be adjusted in order to perform the integration with respect to L. (Enter your answer using interval notation, [0, 2] - Evaluate the definite integral.

Answers

The value of du becomes 4 by integration.

According to the statement

we have given a two statement which are u - 4x and  u = x + 1.

And we have to find the value of du by the use of integration.

An Integral assigns numbers to functions in a way that describes the data.

So,

From u  - 4x

here du becomes by derivative

du - 4dx/du

du = 4dx/du.  -(1)

And in u = x + 1.

here du becomes

du = dx/du  -(2)

by comparing both terms from equation (1) and (2) we get the value of du

du = 4.

the value of du is 4.

So, The value of du becomes 4 by integration.

Learn more about INTEGRATION here https://brainly.com/question/19053586

#SPJ4

PLEASE HELP
place the figure in a coordinate plane and find the indicated length a square with side length n; Find the length of the diagonal
Thanks

Answers

For the square with side length n, the diagonal measures:

[tex]d = \sqrt{2} *n[/tex]

How to get the length of the diagonal?

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

[tex]d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n[/tex]

That is the length of the diagonal.

If you want to learn more about right triangles:

https://brainly.com/question/2217700

#SPJ1

help!>> Which is the best first step in solving the
absolute value inequality
-3 5x+6+1 >6?

Answers

The answer to this is 16 because I did the math and that’s the answer

Answer:

see explanation

Step-by-step explanation:

- 3 | 5x + 6 | + 1 ≥ 6

First step : subtract 1 from both sides

- 3 | 5x + 6 | ≥ 5

Other Questions
you are designing a UI (user interface) for use by multiple international travelers. how can you best communicate the options & features of the software program so most people can understand them? To find the central idea, a reader should ask what the most important message is.what the most important relationship is.what the most important signal word is.what the most important cause and effect is. The occupational profile includes information about the client's needs, problems, and concerns about performance in occupations. interpreting information to more specifically identify supports and barriers related to occupational performance and identify targeted outcomes. 1) Identify the type of conic section whose equation is given.y2 + 2y = 4x2 + 3 HyperbolaFind the vertices and foci. why the buganda agreement was signed an apartment has the dimensions 17 m by 9 m by 6 m. the temperature is 20c, and the relative humidity is 58 percent. what is the total mass (in kg) of water vapor in the air in the apartment? with a complex and dynamic environment, the need for control will be moderate low high satisfied with bureaucratic methods nonexistent give the approximate bond angle for a molecule with t-shape molecular geometry. a. 90 b. A pyramid has a rectangular base with edges of length 10 and 24. The vertex of the pyramid is 13 units directly above the center of the base. What is the total SURFACE AREA of the pyramid? Which of the following commands will count the number of lines in a file named data.csv?a. lc data.csvb. wc -l data.csvc. lines data.csvd. count -l data.csv A manufacturer estimates profit to be -0.001x2+8x-7000 dollars per case when the level of production is x cases. What value of x maximizes the manufacturer's profit? a. 3000 b. 4000 C. 5500 d. 4575 e. 3750 which description best defines a haplotype? the sequence of all the dna bases contained on a single chromosome within an individual organism a group of alleles that undergo a change in nucleotide sequence from mistakes in dna synthesis the sequence of rna nucleotides that comprise a newly synthesized mrna strand after transcription a group of alleles in close association on a chromosome that are likely to be inherited together Tim has a friend and classmate named Shane. Shane has a friend in his neighborhood named Paul Tim and Paul are separated by how many degrees of separation? a. oneb. two c. three d. four an airplane starts from rest and accelerates down a runway at a constant rate of 3.00 m/s2 for 32.0 s until it finally lifts off the ground. determine the distance traveled before takeoff. calculate the boiling point of a 13.50 aqueous solution of methanol. boiling point constants can be found in the list of colligative constants. Explain how blood cells interact with muscle cells to provide the most efficient functioning living organism 1. What is the most effective summary of paragraph 2?O A.OB.of valleys and craters that can be seen on its surface.O D.geological history of the red planet.which is much too cold to sustain human or animal life.O C.Interestingly, some water has been discovered seeping from impact craters on Mars' surgiving scientists hope that the planet might be capable of supporting life.transformation from a warm, wet climate to a freezing, ary one. which of the four forces keeps you from sinking to the center of earth 9.To have your macros available when creating additional workbooks, you should considera. creating a macros workbook.b. writing your macros directly in VBA.c. storing all of your workbooks on a shared network drive.d. leaving open all the workbooks containing macros. Need help in solving this problem Im stuck on it. Pls help me?????? If you can see the numbers its 3ft, 7ft, 5ft, 4ft.