your friend says that you can write any equation in slope-intercept form. is your friend correct? explain.

Answers

Answer 1

Answer:

almost.

Step-by-step explanation:

You can write almost every linear equation in slope-intercept form.

Slope-intercept form is:

y = mx + b

So every line except a vertical line can be written in the form y=mx+b.

This form cannot be used when m is undefined.


Related Questions

Find the equation of the line passing
through the points (4, 2) and (6, 10).
y=[?]x+[ ]

Answers

To find the equation, first use the slope formula.

The slope formula is:

Second y coordinate minus first y coordinate, divided by second x coordinate minus second x coordinate

In your problem, the equation for finding the slope would be 10-4/6-2.

Simplify that and you get 3/2. So, your slope is 3/2.

Now you need to find the “b” or the y-intercept. Plug one of the coordinates into the equation y=Mx+b.

Let’s use the first coordinate you gave.

4 is the x coordinate, 2 is the y coordinate. M will be 3/4 because that’s the slope we found. So, the equation will be 4=3/4(2)+b. Now solve for b. B will equal -2.5.

Now put everything together. Y=3/4x-2.5

Hope that helped :)

Answer:

y=4x+-14

Step-by-step explanation:

i hope this helps

DLD I need to get this done ASAP

Answers

Answer: d

Step-by-step explanation:

Sep 15, 10:38:09 AM
Watch help video
Use point-slope form to write the equation of a line that passes through the
point (1, 17) with slope 2.
Answer:
Submit Answer
attempt 1 out of 3

Answers

The equation of the line is y=2x+15.

Given point (1,17) and the slope m=2

The universal equation for any straight line is y=mx+c. m is the line's slope, and c is the y-intercept.

To find the equation of the line formulae is [tex](y-y_{1})=m(x-x_{1})\\[/tex]

Here, m=2 , [tex]x_{1}=1 \\[/tex] and [tex]y_{1}=17[/tex]

substituting the values we get

y-17=2(x-1)

y-17=2x-2

y=2x+15

Therefore, The equation of the line is y=2x+15.

The equation of line is an algebraic representation of a set of points in a coordinate system that form a line. The several points in the coordinate axis that form a line are represented as a set of variables x, y to build an algebraic equation known as an equation of a line. We can use the equation of any line to determine if a given point is on the line or not.

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the lowest common denominator for the fraction 8/64 and 8/32 is

Answers

Answer:

Lowest common denominator is 8.

Step-by-step explanation:

8? Why that low?

Here's why:

64 and 32 are both divisible by 8. 64 / 8 = 8 and 32 / 8 is 4.

So then, we make the denominator 8 and numerator 1.

Lowest common denominator is 8.

The length of an alligator in a zoo is 1456feet. The Everglades National Park lists the longest alligator ever recorded in Florida at 17512feet. Which is the difference in their lengths?

Answers

The difference in their length is 16056

As per the question the length of alligators=1456 feet

At the same time the length of longest elegator is=17512 feet

We have to find out the difference

For difference we have to take

1756 min and 1456

As we know the formula of find the difference is by substituting so-

17512-1456

=16056

The difference= 16056 units feet

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given the set of numbers from 1 to n: { 1, 2, 3 .. n } we draw n numbers randomly (with uniform distribution) from this set (with replacement). what is the expected number of distinct values that we would draw?

Answers

The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

Here,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Then we have to find number of distinct values that we can draw.

What is combination?

The field of mathematics concerned with problems of selection, arrangement, and operation within a finite or discrete system.

Now,

The given set is = {1, 2, 3, ……, n}

n number of drawn from this set with replacement.

Since, we know we draw p things from q with replacement then

Number of ways =  [tex]^{p+q-1} C_q[/tex]

Here number of element in the set = n

And number of element we have to draw with replacement = n

Therefore, number of distinct values that we can draw

= [tex]^{n+n-1} C_n[/tex]

= [tex]^{2n-1} C_n[/tex]

= [tex]\frac{(2n-1)!}{n!(2n -1 - n)!}[/tex]

=   [tex]\frac{((2n-1)!)}{n!(n -1)!}[/tex]

Hence, The number of distinct values that we can draw(with replacement) is;

=  [tex]\frac{ ((2n-1)!)}{ n!(n -1)! }[/tex]

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What is 59265 divided by the 8th power x 596 x 427 please help


59265 の 8 乗 x 596 x 427?

Answers

Answer: sus

Step-by-step explanation:

20 pts
A company sells designer purses for $400 per purse. Usually, they sell 3000 purses per month. According to market research, they will sell 500 more purses for every $20 reduction in price. Write a function R(x) that models the company's revenue, where x is the number of price reductions. Find the price that will generate the maximum revenue. Find the maximum revenue.

Answers

The price that would yield maximum revenue is $260  and maximum revenue is $1,690,000

What is the revenue function?

The fact that total revenue of  the company is the price per purse multiplied by the number of purses sold, means that the revenue modelled function is simply price multiplied by the quantity sold as shown below:

R(x)=P*x

R(x)=Px

R(3000)=$400*3,000

R(3000)=$1200,000

Note for every 500 more purses, the price reduces by $20

R(3500)=$380*3,500

R(3500)=$1,330,000

R(4000)=$360*4000

R(4000)=$1,440,000

R(4500)=$340*4500

R(4500)=$1,530,000

R(5000)=$320*5000

R(5000)=$1,600,000

R(5500)=$300*5500

R(5500)=$1,650,000

R(6000)=$280*6000

R(6000)=$1680,000

R(6500)=$260*6500

R(6500)=$1,690,000

R(7000)=$240*7000

R(7000)=$1,680,000

The total revenue fell at 7,000 purses, which means that the maximum revenue is $1,690,000 at 6500 purses

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now we’ll look at what happens when we take the average of four normal draws (sample size is 4), and do that 100 times (number of trials is 100), so we get 100 means of four normals. first consider the theoretical quantities. question 6: for the sampling distribution of the mean of four standard normals, what are its theoretical mean and its standard deviation?

Answers

The theoretical mean and standard deviation is 22 and 38 respectively

np>5 and n(1-p)>5 for normal approximation

p=0.77

np>5  n×0.77>5=6.49

n(1=0.77)>5

n>5/0.23

n=21.7

The standard error of the mean for a sample size of 153 is 25 . In quest to reduce the SE of the mean in half(to 12.5 )

Standard error of sample maean is se=sd/sqrt n

se=sd/sqrt 153

Taking four times of sample size we get 4×153=612

The required sample size is 612

The mean of an infinite population is 73 and a standard deviation of 38 . The sample size of 121 is taken randomly from the given population. The SE of the sample mean equals:

standard error of the sample mean =38/sqrt121=3.4545

A concise measure of the deviations of each observation from the mean is the standard deviation.

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HELP NEEDED ASAP/NOW......NO LINKS AND NO JOKING PLS
AUBSERD ANSWERS WILL BE REPORTED<<
Scott bought a large bag of cookies at the bakery. He ate 1/5 of a bag and his sister ate
2/7 of a bag.

What fraction of the bag did they eat?

What fraction of the bag remains?

Answers

Answer:

17/35, 18/35

Step-by-step explanation:

Find the common denominator to add those fractions together.

5 x 7 = 35 so the common denominator is 35. 1 x 7 is 7 so 1/5 is 7/35. 2 x 5 is 10 so 2/7 is 10/35.

10/35 + 7/35 = 17/35

They ate 17/35.

35/35 - 17/35 = 18/35

18/35 remains.

To solve this problem, simply add the fractions!

To add fractions, you must follow a rule called the Common Denominator Rule. Unlike multiplication and division of fractions, wehre the denominator can be a different number, you must convert your denominators to the same number in order to subtract or add fractions.

A common factor of [tex]\frac{1}{5}[/tex] and  [tex]\frac{2}{7}[/tex] is 35 as 5 ×7 = 35

Multiply the numerator and denominator of 1/5 by 7: [tex]\frac{(1)(7)}{(5)(7)}= \frac{7}{35}[/tex]

Multiply the numerator and denominator of 2/7 by 5: [tex]\frac{(2)(5)}{(7)(5)} =\frac{10}{35}[/tex]

Now add [tex]\frac{7}{35} + \frac{10}{35}[/tex] = [tex]\frac{17}{35}[/tex] : They ate [tex]\frac{17}{35}[/tex] of the bag

To find what fraction of the bag remains, subtract what they ate from 1.

*1 can also be written as [tex]\frac{35}{35}[/tex]*

[tex]\frac{35}{35} -\frac{17}{35} = \frac{18}{35}[/tex]

18/35 of the bag remains

Find the equation of the line that passes through (4,13) and (8,1)

Answers

The equation of the line that passes through (4,13) and (8,1) is y = 0.6x + 10.6

How to find the equation of the line?

given the points (4,13) and (8,1)

(x1,y1) = (4,13)

(X2, y2) = (8,1)

now we have to find slope of the line passing through these points.

[tex]slope = \frac{(y2 - y1)}{(x2 - y1)} \\ slope = \frac{1 - 4}{8 - 13}[/tex]

[tex]slope = \frac{ - 3}{ - 5} [/tex]

slope = 0.6

Hence, the slope of the line is 0.6

we know the standard form of equation of the line.

y = mx + b

let us put the x = 4 and y = 13

y = mx + b

13 = 0.6(4) +b

13 = 2.4 + b

13 - 2.4 = b

10.6 = b

now put the m and b value into standard form of equation of the line to get the equation of the line.

y = 0.6m + 10.6

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Tanner's parents give him x dollars per month for his allowance. however, since his birthday is in february, he gets an extra 20% bonus that month. pick all the expressions that represent how much tanner's allowance is in february. 120x x+0.2x x+1.2x 1.2x

Answers

it is given in question that Tanners parent give him x dollars per month plus 20% extra in February therefore the amount become 0.2x

What do you mean percentage?

percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part; thus, 100 percent represents the entirety and 200 percent specifies twice the given quantity.

Tanner's parents give him x dollars per month  for his allowance.

however, since his birthday is in february

he gets an extra 20% bonus that month.

pick all the expressions that represent how much tanner's allowance is in february month

20% = 20/100

       = 2/10

        =1/5

         = 0.2

since it is given in question that Tanners parent give him x dollars per month plus 20% extra in February

therefore the amount become 0.2x

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An arithmetic sequence has this recursive formula:
| a₁ = 4
| an = an-1 - 7
What is the explicit formula for this sequence?

Answers

[tex]a_n = 4+ (n-1)(-7)[/tex]  is the explicit formula for the sequence | a₁ = 4

| an = an-1 - 7

We have given [tex]a_1 = 4[/tex]

If [tex]a_n = a_{n-1} - 7[/tex]

Then, [tex]a_2 = a_{(2-1)} - 7[/tex]

⇒ [tex]a_2 = a_1 - 7[/tex]

⇒ [tex]a_2 = 4 - 7[/tex]

⇒ [tex]a_2 = -3[/tex]

Now, common difference (d) = [tex]a_2 - a_1[/tex] = -3 - 4 = -7

The explicit formula for arithmetic sequence is expressed as

[tex]a_n = a+ (n-1)d[/tex]   Where a is the 1st term, [tex]a_n[/tex] is the nth term and d is the common difference.

With given information explicit formula:

[tex]a_n = 4+ (n-1)(-7)[/tex]

What is an explicit formula?

Without expressing the other terms of the sequence, explicit formulas are always utilized to represent any term of the sequence. The word "explicit" means something that may be found directly without having to know the other phrases in the sequence.

A single formula, known as the explicit formula, can be used to describe each term in a series in an individual way. Without knowing the prior term in the series, the explicit formula makes it simple to locate any term. The explicit formulas for various sequences are provided here:

An = a + (n - 1) d, where a is the first term and d is the common difference, an is the arithmetic sequence.

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maritza is playing a computer game to help her learn about science. her scores for the first six games were 11, 12, 10, 8, 14, and 15. how many points does she need to earn on the next game so that her average score for all games is 12 points? 14

Answers

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

What is mean?

An individual data set's mean is its average. The concept of mean informs us of the quantity of data in its entirety.

In other words, this same deviation of data from across all data sets is built on the mean.

Mean = sum of data / Number of data

According to the given information:

points given for the 6 games:

11,12,10,8,14 and 15

Let's say this same point in the seventh game is x, keeping the average at 12.

The average for the 7th game is.

(11 + 12 + 10 + 8 + 14 + 15 + x )/7 = 12

(70 + x )/7 = 12

70 + x = 84

x = 24

For Maritza to keep her average of 12 points, she needs 14 points in her subsequent game.

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(d-6)(2e-3)+(d-6)(e+1) solution please?

Answers

The solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

According to the given question.

We have an expression (d-6)(2e-3)+(d-6)(e+1).

Here, we have to find the solution of the given expression.

As we know that, an action or process of solving a problem.

Therefore, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is given by

(d-6)(2e-3)+(d-6)(e+1)

= 2de -12e -3d + 18 + de -6e + d - 6            (by distributive rule)

= 3de -18e -2d + 12

Hence, the solution of the expression (d-6)(2e-3)+(d-6)(e+1) is 3de -18e -2d + 12 .

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need help please

The following transformations are rigid and isometric: (choose all that apply)


dilation


reflection


rotation


translation

Answers

Everything but dilation if helped mark me the brainiest

PLEASE PLEASE PLEASE ANSWER !!!

What is the equation of the given line?

x = 0

y = -2

x = -2

y = -1

Answers

Answer:

y = -1

Step-by-step explanation:

→ First determine which axis the line passes through

y

→ Find which point the line passes through

-1

→ Equate both variables

y = -1

what is 42% as a decimal?

Answers

42% as a decimal is 0.42
to convert percent to decimal, you move the point two spaces to the left
so 42 -> .42

the width is to be 16 feet less than 3 times the height. find the width and the height if the carpenter expects to use 34 feet of lumber to make it.

Answers

The computation is that the width is 21.5 feet and the height is 12.5.

How to compute the value?

Let the height = h

Let the width = (3 × h) - 16 = 3h - 16

Therefore, the dimensions will be:

h + 3h - 16 = 34

4h = 34 + 16

4h = 50

Divide

h = 50/4

h = 12.5

Therefore width = 3h - 16 = 3(12.5) - 16

= 37.5 - 16

= 21.5

The width is 21.5 feet and the height is 12.5.

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Which expression shows how to use mental math to find
6
×
24
?

A.
(
6
×
20
)
+
(
6
×
4
)
B.
(
6
×
20
)
+
(
6
×
14
)
C.
(
6
×
20
)
×
(
6
×
4
)
D.
(
6
×
20
)

(
6
×
4
)

Answers

Answer:a

Step-by-step explanation:a is easy

In an arithmetic sequence, the 10th term (a10) is 30 and the common difference is 2
. What is the 1st term (a₁)?

Answers

Based on the calculations on this arithmetic sequence, the value of the first term is equal to -8.

What is an arithmetic sequence?

An arithmetic sequence can be defined as a series of real and natural numbers in which each term differs from the preceding term by a constant numerical quantity.

How to calculate an arithmetic sequence?

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.

Given the following data:

Tenth term (a₁₀) = 30.

Common difference = 2.

Substituting the given parameters into the formula, we have;

10 =  a₁ + (10 - 1)2

10 =  a₁ + (9)2

10 =  a₁ + 18

a₁ = 10 - 18

First term, a₁ = -8.

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I need this answered thanks

Answers

Answer:The answer would be the third one $0.07 per minute

4(y-2)²-9=0 find the perfect square

Answers

Answer:

(2(y-2)+3) (2(y-2)-3)

Step-by-step explanation:

In mathematics, the difference of two squares is a squared number subtracted from another squared number. Every difference of squares may be factored according to the identity a^2-b^2 = in elementary algebra.

If a bag of chips is within 0.4 oz of 6 oz then it is allowed to go on the market. Write an absolute value inequality that models this situation. Solve the inequality.

Answers

Set up the absolute value inequality first

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4.

How to solve the inequality

Let's represent the weight of the bag of chips as "x" (in ounces). The bag is allowed to go on the market if its weight is within 0.4 oz of 6 oz.

An absolute value inequality that models this situation is:

| x - 6 | ≤ 0.4

Now, let's solve the inequality:

1. x - 6 ≤ 0.4

  Add 6 to both sides:

  x ≤ 6.4

2. x - 6 ≥ -0.4

  Add 6 to both sides:

  x ≥ 5.6

The solution to the absolute value inequality is 5.6 ≤ x ≤ 6.4. This means the weight of the bag of chips must be between 5.6 ounces and 6.4 ounces (inclusive) to be allowed on the market.

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Jessiah can run 624 feet in 36 seconds. malik can run 720 feet in 54 seconds. who can run faster? show or explain how you know.

Answers

Hello!

Answer:

Jessiah is faster than Malik because 17.33 > 13.33.

Step-by-step explanation:

To solve this exercise, we will calculate the average speed of each of them, using the formula:

[tex]A_{s} =[/tex] Δ[tex]\frac{s}{t}[/tex]

Let's calculate each average velocity by replacing the values:

Jessiah:[tex]A^s^{}=\frac{624}{36} =\frac{312}{18} =\frac{156}{9} =\frac{52}{3}[/tex] ≈ [tex]17.33~feet/second[/tex]Malik:[tex]A^s^{}=\frac{720}{54} =\frac{360}{27} =\frac{120}{9} =\frac{40}{3}[/tex] ≈ [tex]13.33~feet/second[/tex]

Hope this helps!

Answered by:

AshTheNeko

Suppose an online electronics retailer is running two different specials. One deal will
get you 10% off your total purchase, and the other deal is worth $20 off a purchase
of $100 or more. Assuming you spend at least $100, if you are allowed to use both
deals, in which order do you want to apply them? Try the calculation both ways with
a few different prices, or write a formula to represent each option.

Answers

We get more money off when we follow order 1, that is, second deal follows first deal.

Given,

There are two deals in an online electronics retailer.

First deal: 10% off on your total purchase = x × (90/100)

Second deal: $20 off on a purchase of minimum $100 = x - 20

x be the money we spend.

We have to spend a minimum of $100.

They allowed us to use both deals.

We have to find the order of deals.

Lets check:

Order 1:

First deal, then Second deal.

First deal, x = 100

ie, x × (90/100) = 100 × (90/100) = 90

Second deal, x = 90

ie, x - 20 = 90 - 20 = 70

100 - 70 = 30

ie, $30 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 100

x - 20 = 100 - 20 = 80

First deal, x = 80

ie, x × (90/100) = 80 × (90/100) = 72

100 -72 = 28

ie, $28 will get off when we apply this order.

So, we can go for order 1.

Now lets check the same with x = 150 and x = 500

x = 150

Order 1:

First deal, then Second deal.

First deal: x = 150

ie, x × (90/100) = 150 × (90/100) = 135

Second deal, x = 135

ie, x - 20 = 135 - 20 = 115

150 - 115 = 35

ie, $35 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 150

x - 20 = 150 - 20 = 130

First deal, x = 130

ie, x × (90/100) = 130 × (90/100) = 117

150 - 117 = 33

ie, $33 will get off when we apply this order.

So, we can go for order 1.

x = 500

Order 1:

First deal, then Second deal.

First deal: x = 500

ie, x × (90/100) = 500 × (90/100) = 450

Second deal, x = 450

ie, x - 20 = 450 - 20 = 430

500 - 430 = 70

ie, $70 will get off when we apply this order.

Order 2:

Second deal, then first deal.

Second deal, x = 500

x - 20 = 500 - 20 = 480

First deal, x = 480

ie, x × (90/100) = 480 × (90/100) = 432

500 - 432 = 68

ie, $68 will get off when we apply this order.

So, we can go for order 1.

Lets  conclude that,

We get more money off when we follow order 1, that is, second deal follows first deal.

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what are quadrilateral and diagonal lines that have equal length,the point of intersection divides both diagonals equally and perpendicular

Answers

Answer: A parallelogram with one right angle is a rectangle. A quadrilateral whose diagonals are equal and bisect each other is a rectangle.

15lb.12oz.+8lb.13oz.+7lb.9oz.​

Answers

Answer: 32lb 2 oz

Step-by-step explanation:

15lb.12oz.+8lb.13oz.+7lb.9oz.​=

(15+8+7)lb + (12+13+9)oz=

30lb+34oz=

30lb+32oz+2oz=32lb 2 oz

Answer:

32lb. 2oz.

Step-by-step explanation:

For ounces: 12+13+9=34

34/16= 2lb and 2oz

For pounds

15+8+7=30

For all: 30+2= 32lb

ANSWER: 32lb. 2oz.

9+(-4)+(-9)+4+8 with additive inverse​

Answers

The additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

How to determine the additive inverse of the expression?

The expression is given as

9 + (-4) + (-9) + 4 + 8

As a general rule, the additive inverse of an expression represented by x is

Additive inverse = -x

This means that

Expression = x

Additive inverse = -x

The above implies that we negate the expression to get the Additive inverse

So, we have

Expression = 9 + (-4) + (-9) + 4 + 8

This means that

Additive inverse = -[9 + (-4) + (-9) + 4 + 8]

Open the brackets

So, we have

Additive inverse = (-9) + 4 + 9 + (-4) -8

Hence, the additive inverse of the expression given as 9 + (-4) + (-9) + 4 + 8 is  (-9) + 4 + 9 + (-4) -8

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a number is 10 more than another number. twice the sum of the two numbers is 44 . find the two numbers.

Answers

Answer:

The two numbers are 8 and -2

Step-by-step explanation:

a=b+10

2(a+b)=12

you then substitute the first equation's value for a into the second equation.

2(b+10+b)=12

2(2b+10)=12

4b+20=12

b+5=3

b=-2

Then you substitute this value for b back into the first equation.

a=b+10

a=-2+10

a=8

Other Questions
A cup of cereal has 12 grams of fiber, which is 40% of the amount of fiber jareds doctor recommends he consume each day. how much fiber does jareds doctor recommend he consume each day? A detailed record of all increases and decreases that have occurred in a particular asset, liability, or equity during a period. Read the excerpt.The trouble began when I decided to be dangerouslyambitious. Which is to say, I decided to write a poem.-"Surrendering,"Ocean VuongWhich phrases most contribute to a mood ofsuspense? Check all that apply."trouble began when"."I decided to be""dangerously ambitious""which is to say"O "write a poem" modern marketers use blank to focus how they approach their customers and market their products. How do sections 49-50 ofMaupassant's "The Necklace"show how Mathilde and herhusband are different?A. Mathilde enjoyed the ball, while herhusband was bored and slept through thewhole ball.B. They both disliked the ball, but Mathildeforced herself to dance while her husbandslept.C. Mathilde is uncomfortable in front ofpeople, and her husband is outgoing andsocial. Simon measures the length of an insect that is 2.5 inches long for a scienceproject. He needs to record his data in centimeters. How long is the insectin centimeters? when you watch dogs play in the park or watch how your professors conduct their classes, you are engaging in a form of: select one: a. experimental research b. naturalistic observation. c. survey research. d. psychometric study. In your own words, describe what transformations are possible in a linear function and what in the equation causes these movements. Which of these is one characteristic of topographic maps? ALGAE A scientist has a fish tank in the shape of a rectangular prism. The tank is 18 inches high, 14 inches wide, and 30 inches long. After one month, the scientist found that the sides and bottom of his fish tank were covered with algae. The scientist wants to run tests on the algae to help determine why it started to grow. How much algae is there for the scientist to test? Why does the Mediterranean type of climate attract:Many British families for their summer holiday What is -9 2/3?I got: -27/3Is it right? giving brainliest The hunter and gather era is to the agricultural era as the Neolithic Era is to the Paleolithic Era Neolithic Era is to the Ice Age Era Paleolithic Era is to the Neolithic Era Paleolithic Era is to the Ice Age Era Determine whether the following statement is true or false. Explain.The graph of y = |x-2|- 2 is a translation two units to the right and two units upward of the graph of y = |x|.Choose the correct answer below.A. True, because the graph of y = f(x - h) + k is the translation of the graph of y = f(X) |k| units upward if k= 0 or downward if k < 0, and h units to the right if h> 0 or to theleft if h < 0.B. True, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) In| units upward if h = 0 or downward if h < 0, and k units to the right if k> O or to theleft if k < OC. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) |k| units to the right if k>0 or to the left if k < 0, and h units upward if h downward if h < 0.D. False, because the graph of y = f(x- h) + k is the translation of the graph of y = f(x) h units to the right if h > 0 or to the left if h < 0, and k units upward if k>downward if k < 0. during the civil war, what region had the advantage of harboring 90% of the country's industries? south north the going concern assumption is critical to the measurement of assets because if a business were going to cease operations, its assets would be measured at theirmultiple choice question. An engineer at NASA is investigating the impact of meteorites on planets. He performs experiments in a vacuum by dropping metal spheres of different sizes and different heights above a horizontal bed of sand. In one experiment, a metal sphere of mass 0.1 kg is dropped from a height of 1.2 m. The sphere makes a depression in the sand of 2 cm. [Gravitational field strength, g = 10 Nkg -1 ] i) Calculate the potential energy of the sphere at a height of 1.2 m [2 marks] How are separation of powers and limited government applied to each of the three branches of government? the attack yesterday on the hawaiian islands has caused severe damage to american naval and military forces. very many american lives have been lost. in addition american ships have been reported torpedoed on the high seas between san francisco and honolulu. the speaker begins by (5 points) Celia and jane are on the roof of their school. Each woman has an identical ball that they release from the roof at the same time. However, while celia drops her ball from rest, jane releases her ball with a small horizontal velocity. Assuming that air resistance is negligible, which ball will hit the ground first?.