PLEAse help geometry

PLEAse Help Geometry

Answers

Answer 1

Answer:

A clockwise rotation of 90° about the origin


Related Questions

The point S is on the line AB so that lengths AS:SB are in the ration 3:2. If A = (21,3) and B = (6, 33) then find the co ordinate of S

Answers

From the section formula, it was found that the coordinate for the point S is (12,21).

Section Formula

The coordinates of the point S which divides the line AB into two sections can be found from the application of the Section Formula that is presented below:

[tex]S=(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex], where

[tex]ratio=\frac{m}{n}[/tex]

[tex]x_1[/tex] and [tex]y_1[/tex] are coordinates of A

[tex]x_2[/tex] and [tex]y_2[/tex] are coordinates of  B

Find the point S

The question gives  r=[tex]\frac{3}{2}[/tex], A=(21,3) and B=(6,33). From the ratio, you can find m=3 and n=2.

Next step, applying the internal section formula. Then, you have:

[tex]S=(\frac{3*6+2*21}{3+2}, \frac{3*33+2*3}{3+2})\\ \\ S=(\frac{18+42}{5}, \frac{99+6}{5})\\ \\ S=(\frac{60}{5}, \frac{105}{5})\\ \\ S=(12, 21)[/tex]

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Match the attributes to each three-dimensional shape that has the cross-section described.

Only consider cross-sections with whole number dimensions parallel to a side of one of the prisms or the base of the pyramid.

Quadrilateral A:
area of
16 square inches
Quadrilateral B:
perimeter of
24 inches
Quadrilateral C:
perimeter of
16 inches

Answers

The attributes to each three-dimensional shape that has the cross-section is 4,16 and 4.

What is a quadrilateral and parallelogram?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Given;

Quadrilateral A: area of 16 square inches

Quadrilateral B: perimeter of 24 inches

Quadrilateral C: perimeter of 16 inches

Now,

Quadrilateral A:

a^2=16

a=4

Quadrilateral B;

4a=24

a=6

Quadrilateral C:

4a=16

a=4

Therefore, the answers of quadrilaterals will be 4,6 and 4.

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approximately, how much air would be needed to fill a soccer ball with a radius of 15 centimeters ?

Answers

Answer:

about 2827cm^3

Step-by-step explanation:

you are looking for the area  

4*pi*r^2

4*pi*15^15

pi*4*225

pi*900

2827.43

it would be 2827.43 i did this on platoe

Solve for x.
144°
18 degrees
30 degrees
48 degrees
120 degrees

Answers

Answer:

x = 18 °

Step-by-step explanation:

you have a rotation angle of 360 °, take out the known values ​​(360 ° -90 ° -144 ° = 126), 144 ° is part of a flat angle of 180 °, from 180 ° remove 144 and you have 36 °, they are opposite angles therefore the same. therefore 360 ​​- 144 - 90 - 36 - 36 = 54.

54 is 3x, so x = 18 ° (54 : 3 = 18)

Solve the simultanious equations 2x+3y=13 4x-y=-2

Answers

Answer: x = 1/2, y = 4

Step-by-Step Explanation:

Lets solve it using Substitution Method :-

=> 2x + 3y = 13 (Eq. 1)
=> 4x - y = - 2 (Eq. 2)

From Eq. 2 :-

=> 4x - y = - 2
= - y = - 2 - 4x
=> y = 4x + 2 (Eq. 3)

Substitute value of ‘y’ in Eq. 1 :-

=> 2x + 3y = 13
= 2x + 3(4x + 2) = 13
= 2x + 12x + 6 = 13
= 14x = 13 - 6 = 7
=> x = 7/14 = 1/2

Substitute value of ‘x’ in Eq. 3 :-

=> y = 4x + 2
= y = 4(1/2) + 2
= y = 4/2 + 2
=> y = 2 + 2 = 4

Therefore; x = 1/2, y = 4

Please answer ! Polynomials and Factoring problems. Thank you!

Answers

Answer: The answer to your first question is b^2+2b-8. You second answer is y^2-4y+3.

Step-by-step explanation: Now, these questions deal with the FOIL method commonly taught in schools. The FOIL method is to turn factored binomials back into quadratics. Let's first go over what FOIL means.
F - First. So you multiply the first terms in each set of parenthesis, so b times b and y times y make b squared and y squared.
O - Outer. Multiply the two outer terms together, so b times -2 and y times -3. Remeber to pay attention to your signs when you multiply during these probelms!
I- Inner. Multiply the two inner terms together. so 4 times b and -1 times y. Again, make sure the signs are incorporated!
L - Last. Multiply the last terms in the binomials. So 4 times -2 and -1 times -3.

Now that we have our numbers, we have expanded quadratics that look like these:
b^2 -2b+4b-8 and y^2-3y-y+3

Now combine the two middle terms into +2b and -4y, and your answers are b^2+2b-8 and y^2-4y+3.

1) Mark is buying 4 chairs for his business. The table shows the prices and the advertised sales for the same type
of chair at 4 chair stores.
Based on the advertised sales, at which store will mark get the lowest price on 4 chairs?
A) Store A: Buy 3 chairs and get the 4th chair free
B) Store B: Buy 4 chairs and receive $150 off the price of each chair
C) Store C: Buy 4 chairs and receive $550 off the total price
D) Store D: Buy 4 chairs and receive 35% off the total price
Quantitative Reasoning
(QR.6) Proportional Relationships
DSZO
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Answers

Answer:

It's Store C

Hope this helps :)

Step-by-step explanation:

Got it right on USA TEST PREP :)

PLEASE HELP WILL GIVE BRAINLEST! What is the amplitude of the function graphed below?

Answers

Answer:

The amplitude is the highest point that the curve reached

Which is in your case = 2

What is the volume of a cone with a height of 10.5 inches and a radius of 8 inches? cone v = 1 3 bh 1. rewrite the formula for the base area: v = 1 3 πr2h 2. substitute the values into the formula: v = 1 3 π(82)(10.5) 3.evaluate the power: v = 1 3 π(64)(10.5) 4.simplify using multiplication: v = 1 3 π(672) the cone has a volume of pi inches cubed.

Answers

The volume of the cone that has a radius of 8 in. and a height of 10.5 in. is: 703.7 in.³

What is the Volume of a Cone?

Volume = 1/3πr²h

Given the parameters:

Height (h) = 10.5 in.Radius (r) = 8 in.

Volume of the cone = 1/3πr²h = 1/3π(8²)(10.5)

Volume of the cone = 1/3π(64)(10.5)

Volume of the cone = 703.7 in.³

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Answer:

224Pi inches cubed

Step-by-step explanation:

the food bill for meal at a restaurant is $12. THe sales tax is 6.5%, and you leave 15% tip. Wat is the total cost of the meal? PLEASE ANSWER FAST

Answers

Answer:

Step-by-step explanation:

12*6.5%=0.72

12+15%=13.8

0.72+13.8=14.52

From 1984 to 1995 the winning scores for a golf tournament were 275,279,279,276,278,277,280,282,284and 270 Find the mean of the data is

Answers

Answer: The mean of the data is 278.

Step-by-step explanation:

To the the mean of the data, we’ll have to add all the numbers up and divide it by the amount of data.

275+279+279+276+278+277+280+282+284+270=2780

2780/10=278

Answer: 278
Explanation: You simply add up all the numbers, then you divide by how many numbers there are.

2780 is the sum of all those numbers.
Divide by 10 because their are 10 numbers listed.

2780/10 = 278.

GIVING BRAINLIEST!!!!!

Answers

Answer:

7x+2y=18

The first one

Step-by-step explanation:

The equation to be perpendicular switches they numbers before the x and y. Also plugging into a graphing calculator like desmos will show you
that

19 more than the number c is 4

Answers

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

[tex]\diamond\large\textsf{\textbf{\underline{Question:-}}}[/tex]

          ✥ 19 more than the number c is 4.

[tex]\diamond[/tex] [tex]\large\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

◆ First, the word "more" indicates that we add.

Here we have 19 more than c, so we add c plus 19, which looks as follows:-

 ✳︎ [tex]\sf{19+c}[/tex]

This expression is equal to 4:-

✳︎[tex]\sf{19+c=4}[/tex]

If you also need to find c, subtract 19 on both sides:-

c=-15

So we conclude that the value of c is -15.

Good luck with your studies.

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

Answer:

19 + c = 4

Step-by-step explanation:

Given:

19 more than the number c is 4

We know that:

The word "more" means addition between two numbers. The word "is" means two terms or two expressions are equivalent.

Therefore, we can make the following replacements:

"19" ⇒ "19""more" ⇒ "+""c" ⇒ "c""is" ⇒ "=""4" ⇒ "4"

When we replace the bolded text in the statement, we get;

⇒ 19 more than the number c is 4

⇒ 19 more than the number c is 4                       ["19" ⇒ "19"]

⇒ 19 + than the number c is 4                            ["more" ⇒ "+"]

⇒ 19 + c is 4                                             ["than the number c" ⇒ "c"]

⇒ 19 + c = 4                                                            ["is" ⇒ "="]

⇒ 19 + c = 4                                                            ["4" ⇒ "4"]

Thus, the expression/equation that represents the statement is [tex]\small\text{19 + c = 4.}[/tex]

find arc JK

BRAINLIEST,POINTS,THANKS AND RATING GIVEN!!!

Answers

Answer: 164
x = 19

Explanation: The equation you would make is:

250 = 7x + 117.

Or you could also do :

125 = 1/2 ((7x + 31) + (86)) ; they both come out as the same answer.

Which is a stretch of an exponential decay function? f(x) = one-fifth (one-fifth) superscript x f(x) = one-fifth(5)x f(x) = 5one-fifth f(x) = 5(5)x

Answers

The exponential function that represents a stretch of a decay function is given as follows:

[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]

What is an exponential function?

An exponential function is modeled by:

[tex]y = ab^x[/tex].

In which:

a is the initial value.b is the rate of change.

It represents a stretch if a > 1, and a decay function if b < 1. Researching the problem on the internet, the correct option is given as follows:

[tex]f(x) = \frac{5}{4}\left(\frac{4}{5}\right)^x[/tex]

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Answer:

the answer is C :)

Step-by-step explanation:

5. in the following figure, GE= r.
where ris the radius of the circle.
a) What is the nature of the triangle GEO? Justify your answer.
b) By calculating SEG in two different ways. using ares of the ​

Answers

Answer + Step-by-step explanation:

a) GE = r = GM

Then GEO is an isosceles triangle

b) since GEO is an isosceles triangle  then :

m∠SEG = m∠GOM = measure of the arc GM (mGM)  (result 1)

On the other hand :

m∠SEG = m∠SEG = (1/2)×(mAS - mGM)  (it’s a formula)   (result 2)

Now ,we equate  (result 1) and  (result 2) :

m∠SEG = mGM  

m∠SEG = (1/2)×(mAS - mGM)

Then

mGM = (1/2)×(mAS - mGM)

c) mGM = (1/2)×(mAS - mGM)

⇔ 2mGM = mAS - mGM

⇔ 3mGM = mAS

⇔ 3m∠SEA = m∠SOA

Remember:

mGM = m∠GOM = m∠SEA

ANSWER QUICK ILL GIVE BRAINLIEST
A researcher posts a radio advertisement offering $35 in exchange for participation in a short study. The researcher accepts the first eight people who respond to the advertisement. Which of the following statements is true about the sample? It is a valid sample because the first eight people were selected to participate. It is not a valid sample because it is not a random sample of the population. It is a valid sample because money was offered to participants. It is not a valid sample because it is only a short study.

Answers

Answer: Choice B

It is not a valid sample because it is not a random sample of the population.

Explanation:

The researcher should have randomly selected the participants, either by picking names out of a hat, using a random number table, or some kind of computer software to pick the names. Letting the first 8 people form the sample is very likely not representative of the population at large. We have a lot of bias here. Therefore, this is not a valid sample.

Can somebody help me with this? Please and Thank you

Answers

[tex]\text{Given that,}~ p(x) = x^2 +3 ~ \text{and}~ h(x) = \sqrt{x-3} \\\\(p \circ h)(x)\\\\=p(h(x))\\\\=p\left(\sqrt{x-3}\right)\\\\=\left(\sqrt{x-3} \right)^2 +3\\\\=x-3 +3\\\\=x[/tex]

Which THREE statements would produce the truth value F when pis true and q is false?

Answers

The THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p

How to determine the statements with a false truth value?

To do this, we simply analyze each option

The given parameters are:

p = true

q = false

(a) p → q

This means that:

If p then q

So, we have:

If true then false

The above statement would return false.

(b) ¬ p ∧ ¬ q

This means that:

If not p and not q

So, we have:

If not true and not false

i.e.

If false and true

The above statement would return false.

(c) p → ¬ q

This means that:

If p then not q

So, we have:

If true then not false

i.e.

If true then true

The above statement would return true.

(d) q ∨ ¬ p

This means that:

If q and not p

So, we have:

If false and not true

i.e.

If false and false

The above statement would return false.

Hence, the THREE statements that would produce the truth value F when p is true and q is false are (a) p → q (b) ¬ p ∧ ¬ q (d) q ∨ ¬ p

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A builder is developing a neighborhood of one-bedroom and two-bedroom houses. the builder wants to build 12 houses and can use as many as 88 total
windows. the one-bedroom houses need 6 windows and the two-bedroom houses need 9 windows.
part a
write and solve a system of equations to represent the situation. let 2 represent the number of one-bedroom houses. let y represent the number of two-
bedroom houses. round your answers to the nearest hundredth, if necessary.

Answers

Builder can build 7 one bedroom houses and 5 two bedroom houses.

What is consistent Equation?

A linear or nonlinear system of equations is called consistent if there is at least one set of values for the unknowns that satisfies each equation in the system—that is, when substituted into each of the equations, they make each equation hold true as an identity.

Let x represents the number of one-bedroom houses and y represents the number of two bedroom houses.

According to Question,

Total number of houses is 12 i.e. x + y = 12..........(i)

Total we have 88 windows in which 6 windows can be use in one bedroom house and 9 windows can be used in two bedroom house so,

6x + 9y = 88 ..................(ii)

From Equation (i) and (ii), we get

x = 7 and y = 5

Thus, Builder can build 7 one bedroom houses and 5 two bedroom houses.

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6x5= 9x6= 8x7= 2x3= please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

6x5=30, 9x6=54, 8x7=56, 2x3=6 hope it helped ;)

Given the point (3, 3.5), name a second point so that the two points form a horizontal segment.

Answers

For the horizontal segment, the value of the ordinate will not change. Then the second point will be (x, 3.5).

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

The point is given as (3, 3.5).

Then name a second point so that the two points form a horizontal segment.

For the horizontal segment, the value of the ordinate will not change.

Let x be the abscissa.

Then the point will be given as (x, 3.5).

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Luke bought 256 ounces of strawberries. he divided them evenly between 8 different pies.

Answers

Answer:

2 pounds.

Step-by-step explanation:

We have been given that Luke bought 256 ounces of strawberries. He divided them evenly between 8 different pies. We are asked to find the pounds of strawberries that Luke put on each pie.

First of all, we will convert 256 ounces into pounds.

We know that 1 pound equals 16 ounces. To convert 256 ounces into pounds, we need to divide 256 by 16.

[tex]256[/tex] [tex]ounces=\frac{256}{16}[/tex] [tex]pounds=16[/tex] [tex]pounds[/tex]

Now we will divide 16 pounds by 8 to find number of strawberries put on each pie.

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=\frac{16}{8}[/tex]

[tex]Pounds[/tex] [tex]of[/tex] [tex]strawberries[/tex] [tex]on[/tex] [tex]each[/tex] [tex]pie=2[/tex]

Therefore, Luke put 2 pounds strawberries on each pie.

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

Answers

Answer:

12 meters = 12000 mm

Step-by-step explanation:

A scientist is working with 12 meters of gold wire. How long is the wire in millimeters?

12 meters = 12000 mm

(1m = 1000 mm)

12 * 1000 = 12000

factor by grouping
NEED HELP ASAP
# after letters are the exponent
1: 28v+16v2-21v-12
2: 49x3-35x2+56x-40
3: 24r3-64r2-21r+56

Answers

Answer and step-by-step explanation:

[tex]28v^3 +16v^2-21v-12 =[/tex] collecting [tex]4v^2[/tex] in the first two terms and [tex]-3[/tex] in the last two:

[tex]4v^2(7v+4)-3(7v+4) =[/tex] collecting the bracket

[tex](7v+4)(4v^2-3)[/tex]

Bonus stage: if you are factoring over the real numbers and not over the rational, the second brackets is a difference of squares. Else, you stop  here.

[tex](7v+4)(2v+\sqrt3)(2v-\sqrt3)[/tex]

NEXT!

[tex]49x^3-35x^2+56x-40=[/tex]As before, [tex]7x^2[/tex]in the first two, and [tex]8[/tex] in the last two:

[tex]7x^2(7x-5)-8(7x-5)[/tex] collecting the bracket again

[tex](7x-5)(7x^2-8) =[/tex]again, bonus step

[tex](7x-5)(\sqrt7 x +2\sqrt2) (\sqrt7x-2\sqrt2)[/tex]

FINALLY!

[tex]24r^3-64r^2-21r+56 =\\8r^2(3r-8) -7(3r-8)=\\(3r-8)(8r^2-7) =[/tex]Again, bonus step

[tex](3r-8)(2\sqrt2r+\sqrt7)(2\sqrt2r-\sqrt7)[/tex]

Since usually most courses talk about factorization of polynomials BEFORE talking about real numbers, I would stop at the third stage, skipping the fourth.

which of the tables represent a function?
(sorry for the bad photo)
15 points!

Answers

Answer:
table B
Step-by-step explanation:

Answer:

Table B

Step-by-step explanation:

A function is present when x-value can only have a single y-value.

In Table A, the x-value 5 corresponds to 2 y-values : 3 and 2, hence it is not a function.In Table B, each x-value corresponds to a single y-value, hence it is a function.

Find the errors and solve the problem correctly!
Thanks

Answers

The sequence converges to 5 as n goes to ∞. We can prove this rigorously:

The claim is that, for [tex]n\in\Bbb N[/tex],

[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = 5[/tex]

By definition of the limit, this means for any ε > 0, there exists some N such that for any n larger than N, we have

[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| < \varepsilon[/tex]

In order to ensure this inequality, we work backwards to find N in terms of ε :

[tex]\left| \dfrac{5n-1}{n+1} - 5 \right| = \left| \dfrac{5n-1 - 5(n+1)}{n+1} \right| = \dfrac4{|n+1|} < \varepsilon[/tex]

n is a natural number, so n + 1 > 0 and |n + 1| = n + 1. Then

[tex]\dfrac4{n+1} < \varepsilon \implies \dfrac{n+1}4 > \dfrac1\varepsilon \implies n+1 > \dfrac4\varepsilon \implies n > \dfrac4\varepsilon - 1[/tex]

Let N be the smallest natural number greater than or equal to 4/ε - 1, i.e.

[tex]N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]

Then the proof follows: suppose

[tex]n \ge N = \left\lceil \dfrac4\varepsilon - 1 \right\rceil[/tex]

Then

[tex]n \ge \left\lceil\dfrac4\varepsilon - 1\right\rceil \implies n > \dfrac4\varepsilon - 1 \\\\ \implies n+1 > \dfrac4\varepsilon \\\\ \implies \dfrac4{n+1} < \varepsilon \\\\\implies \left|\dfrac{5n-1}{n+1}-5\right| < \varepsilon[/tex]

as required.

Or we can avoid the rigor and use some facts we know about limits:

[tex]\displaystyle \lim_{n\to\infty} \frac{5n-1}{n+1} = \lim_{n\to\infty} \frac{5-\frac1n}{1+\frac1n} = 5[/tex]

since 1/n converges to 0 as n goes to ∞.

Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of integration.) dx x 25x2 1

Answers

The integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]

How to evaluate the integral?

The integral expression is given as:

[tex]\int {x(25x^2 + 1)} \, dx[/tex]

Start by expanding the bracket

[tex]\int {25x^3 + x} \, dx[/tex]

Next, we integrate each term in the expression

[tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]

Hence, the integral of [tex]\int {x(25x^2 + 1)} \, dx[/tex] is [tex]\frac{25}{4}x^4 + \frac{x^2}{2} + C[/tex]

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Write the verbal sentence as an algebraic equation.

The product of a three and a number plus five is 20.

Answers

Step-by-step explanation:

product=× three=3 a number is unknown =x plus=+ five=5 is=equals to 20

3×x +5=20

3x+5=20

Subtract 5 from both sides

3x+5-5=20-5

3x=15

3x/3=15/3

x=5

PLEASE HELP!!! 25 POINTS!!
Simon builds this podium on a platform.


What is the combined volume of the podium and the platform?


Enter your answer in the box.

Answers

96 just spilt up the shape into two and find the volume of each
Other Questions
According to Ferdinand, why is he doing the job that Prospero asked himto do?O He fears ProsperoO He is so in love with Miranda that he'd do anything for herO He is bored on the island How are world organizations responding to environmental issues created by globalization? In the following sentence, the underlined adjectival phrase modifies the word - The dog got out of the yard and came back inside covered in mud. covered in mud is underlined.O dog O yard O came O inside What battle started on Breed's Hill? Battle of Bunker Hill Battles of Lexington and Concord Siege of Fort Ticonderoga Siege of Boston Why were the tails of the plane painted red? Please help, its due tomorrow X 6 2 Jorge is a new student who sits next to you in math. After lunch he puts his head down on his desk. When you ask Jorge if he is okay, he tells you that he is feeling really anxious. His hands are shaking and he is starting to sweat. What do you THINK? How do you FEEL? How do you ACT? does anyone know the width the length the height of this tissue box pls someone tell me Asap. Please select the word from the list that best fits the definition marriage to multiple partners. what would be a negative effect economic effect of a governments decision to build a new highway? 5. Elements are different because they contain different numbers of protons. A brick is dropped from rest from a height of 4. 9 m. how long does it take the brick to reach the ground? Which development would most likely reduce the standard of living in theUnited States?OA. More Americans begin traveling to different states for work.B. U.S. factories begin producing goods at a much faster rate.OC. The U.S. government decides to return to the gold standard.O D. It becomes more difficult for U.S. citizens to get health care.SUBMIT "They need their mid-morning snack to keep their energies up'. Chang into Passive voice what is the area of triangle DOG? The common functions of all cells include: Select the correct answer.Which quote from the article supports the idea that the New Deal was a bad financial idea?A. "The federal government spent more money during World War II than it ever did during the years of the New Deal."B. "Its aim was to put a stop to the economic downturn and help America recover from years of financial deprivation."C. "They complained that Roosevelt could not balance the budget, and the U.S. was slipping further into debt. "D. "This created a more elastic economy that allowed financial centers to bounce back if the dollar continued to fail." The next morning i told mom that i couldnt go to school, because i was too sick. it was the first lie that i had to tell. she put her hand on my forehead and said, "you do feel a bit hot." i said, "i took my temperature and its one hundred point seven degrees." that was the second lie. she turned around and asked me to zip up the back of her dress which she could have done herself, but she knew that i loved to do it. what assumption does the narrator make in this excerpt? that his mom will worry about him that his mom will trust him that his mom knows he is lying that his mom needs his help When determining whether a research project is ethical, researchers and the institutional review board consider the ________ as part of the mandate to protect participants from harm.