The sale price of an item is $105 after a 30% discount is applied. What is the original price of the item?

SHOW WORK PLEASE AND THANKYOU
and be quick please

Answers

Answer 1

Answer:

$150

Step-by-step explanation:

let x be the original price

105 = 0.7x

150 = x


Related Questions

A farmer wants to know how many of his cows have no spots. He has 200 cows total. He takes a random sample of 40 cows. Of these, 11 of the cows have no spots. What can the farmer predict about the entire population?


The farmer can predict that 11 cows in the entire population have no spots


The farmer can predict that 55 cows in the entire population have no spots


The farmer can predict that 40 cows in the entire population have no spots


The farmer can predict that all of the cows have no spots

Answers

Answer:

The farmer can predict that 55 cows in the entire population have no spots.

Step-by-step explanation:

The farmer can predict that 40 cows in the entire population have no spots, the correct option is C.

How to find the confidence interval for population proportion from large sample?

Suppose we're given that:

Favourable Cases X (in count, in sample)

Sample Size N

Level of significance =[tex]\alpha[/tex]

Then, the sample proportion of favorable cases is:

[tex]\hat{p} = \dfrac{X}{N}[/tex]

The critical value at the level of significance[tex]\alpha is Z_{1- \alpha/2}[/tex]

The corresponding confidence interval is:

[tex]CI = & \displaystyle \left( \hat p - z_c \sqrt{\frac{\hat p (1-\hat p)}{n}}, \hat p + z_c \sqrt{\frac{\hat p (1-\hat p)}{n}} \right)[/tex]

The given information;

The farmer took a random sample of 40 cows out of 200 total cows and found that 11 of those cows have no spots. We can use this sample data to make a prediction about the entire population using statistical inference.

Now,

Plugging in the values, we get:

CI = 0.275 ± 1.96sqrt((0.275(1-0.275))/40)

CI = 0.275 ± 0.139

CI = (0.136, 0.414)

This means that we can be 95% confident that the true proportion of cows with no spots in the entire population lies between 0.136 and 0.414.

the farmer can predict that between 13.6% and 41.4%

Therefore, by confidence interval the answer will be  farmer can predict that 40 cows in the entire population have no spots

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Find the value of x


What is the answer

Answers

Answer:

35

Step-by-step explanation:

well, you know the angles of a triangle add up to 180 degrees, and you have the other 2 degrees right there, so all you have to do is add both of the other angles 111+34= 145 and then subtract by 180, 180-145=35 so your answer is 35

solve step by step
1/x-1+1/y-2=1
3/x-1+5/y-2=4

Answers

29x did. Is the sold. Did

Choose the multiplication problem that correctly shows partial products.
A) A
B) B
C) C

Answers

Answer:

B) B

Step-by-step explanation:

       In this case, the first partial product will be 2 * 5 which is 10. The only option that shows this is option B, so this is our answer.

       We can also check the answers as a whole,

2 * 5 = 10

80 * 5= 400

400 + 1 = 410

       Again, only option B gives us this. This is means that option B is our answer.

Answer:

B

Step-by-step explanation:

82

5

--

5 x 2 = 0 (carry 1)

5 x 8 + 1 = 1 (carry 4 to bottom)

Find Rate of change and y intercept in a graph and table y=3x-3

Answers

Answer:

x=6?

Step-by-step explanation:

I think it's this answer im not sure

Jemima was arranging 400 packets of biscuits for a sale. She put 52 packets into a basket and displayed 25% of the remaining packets on the shelves. What percentage of all the packets of biscuits did Jemima display on the shelves?

Answers

Answer:

87% of all the packets of biscuits Jemima displayed on the shelves.

Step-by-step explanation:

400-52=348

so, 348*25%

348*25/100

87

This figure is the pre-image of a prism that has undergone a dilation with a scale factor of 2/5.

What is the surface area of the image after the dilation?


206225 m²

26845 m²

51512 m²

58225 m²

Answers

Answer:

Step-by-step explanation:

Answer:

Yeah. The answer is [tex]206\frac{2}{25}[/tex].

Step-by-step explanation:

A relief worker needs to divide 1350 bottles of water and 144 cans of food into boxes that each contain the same number of items.​ Also, each box must contain the same type of item​ (bottled water or canned​ food). What is the largest number of relief supplies that can be put in each​ box?

Answers

The largest number of relief supplies that can be put in each box is 75 bottles and 8 cans of food respectively.

How to find highest common factor

The factors of:

1350 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675 and 1350.

144 = 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, and 144.

The highest common factor of 1350 and 144 is 18

1350 bottles / 18

= 75 bottles per box

144 cans of food / 18

= 8 cans of food per box

So, there 18 boxes of items, each containing 75 bottles and 8 cans of food respectively.

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What is the range of this data set? 12.5, 10.1, 11.4, 17.3, 17.9, 12.1, 14.1, 14.4, 20.4, 19.1, 12.4, 18.9

Answers

The range of a dataset is the distance between the maximum value and the minimum value. The range is found by subtracting the minimum value from the maximum value: maximum - minimum = range.

Maximum value of this dataset = 20.4

Minimum value of this dataset = 10.1

20.4 - 10.1 = 10.3

Range = 10.3

Hope this helps!

Answer:

10.3

Step-by-step explanation:

Given set of values

12.5, 10.1, 11.4, 17.3, 17.9, 12.1, 14.1, 14.4, 20.4, 19.1, 12.4, 18.9

Maximum value

The number with the greatest value in the data set⇒ 20.4

Minimum value

The number with the least value in the data set⇒ 10.1

Range

Maximum value - Minimum value20.4 - 10.110.3

A cup of chocolate chips weigh about 6 ounces. A recipe calls for 31 4 cups of chocolate chips which is about how many ounces?

Answers

If 1 cup of chocolate chips weighs about 6 ounces

The recipe calls for 3 1/4 cups of chocolate chips.

We need to multiply 6 by 3 which is 18 ounces plus the 1/4 which is 6 times 1/4 = 1.5 ounces

18 + 1.5 = 19.5 ounces of chocolate chip needed

[tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

If one cup of chocolate chips weighs about 6 ounces

we can find out the weight of [tex]3\frac{1}{4}[/tex] cups by multiplying it by the weight of one cup.

[tex]3\frac{1}{4}[/tex] cups = 3 cups + 1/4 cup

= 3 + 0.25

= 3.25 cups

Weight of 3.25 cups = 3.25 cups × 6 ounces/cup

Weight of 3.25 cups = 19.5 ounces

Therefore, [tex]3\frac{1}{4}[/tex]  cups of chocolate chips is 19.5 ounces.

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Carly needs $149 to buy a skateboard. She already has $52. She earns money washing cars for $20 a car.
Carly says that if she washes 5 cars she will have enough money to buy the skateboard.
Is Carly correct? Use the drop-down menus to explain.


Choose...
; If Carly washes 5 cars, she will have a total of
Choose...
. This is
Choose...
then the cost of the skateboard, so she
Choose...
have enough money.

Answers

Answer:

$149 - price of the skateboard

$52 - Carly's money

$20 × 5 cars = $100

$100 + $52 = $152

$152 - $ 149 = $3

money left is $3

A manufacturing company has two plants at different locations producing three different items equally within each plant. Based on the number of workers and the demand for the items in their respective locations, the number of items manufactured per day by each plant is listed in the table. Plant A Plant B Item 1 22 15 Item 2 8 12 Item 3 14 25 Select the observed and expected frequencies for Item 2 produced by Plant B.

Answers

Answer:

the answer would be 12-19+23=18 so you need a new calculator

Step-by-step explanation:

yes

In a certain year, 26% of people aged 65–69 worked. Suppose that a recent report claimed that the percentage of people aged 65–69 who work has increased since that year.

Answers

Considering the situation described, the appropriate hypotheses set is given by:

[tex]H_0: p = 0.26[/tex]

[tex]H_1: p > 0.26[/tex]

What are the hypotheses test?


At the null hypotheses, we test if there is not enough evidence that the percentage has increased, that is, it still is of 26%, hence:

[tex]H_0: p = 0.26[/tex]

At the alternative hypotheses, we test if there is evidence that it has increased, hence:

[tex]H_1: p > 0.26[/tex]

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A barn is shaped like a rectangular prism with a triangular prism on top as shown. The exterior four walls and two triangular faces need to be repainted. If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn? Enter your answer in the box.

Answers

Answer:

23 gallons

Step-by-step explanation:

Given:

A barn is shaped like a rectangular prism with a triangular prism on top as shown.

The exterior four walls and two triangular faces need to be repainted.

To Find:

If one gallon of paint covers 232 square feet, how many gallons will it take to repaint the barn?

Solve:

[tex]12\cdot38\div2\cdot2+84\cdot20+38\cdot20\cdot2[/tex]

= [tex]5336\;square\;feet[/tex]

[tex]\frac{5336}{232}=23[/tex]

Hence 23 gallons to repaint the barn

~lenvy~

Sandra can buy 6 tomato seed packets for $2. If all the tomato seed packets cost the same amount of money, how many packets can Sandra buy for $10
A. 12
b.20
c. 24
d.30

Answers

Answer:

D. 30

Step-by-step explanation:

Notice how $2 buys 6 packets. This means that if Sandra had $1, she could buy 3 packets.

If she had $10, you must multiply 3 (packets) by 10. Sandra can buy 30 packets with $10.

Answer:

The answer is 20 (I think)

Step-by-step explanation:

The question says 6 tomato seeds at $2

So, 10*2=20

hence proved

Pl help me on this WORTH A LOT OF POINTS!!!!

What is the total area of the patio, walkway, and garden?

Answers

Answer:

82 ft²

Step-by-step explanation:

Area of the patio:

5 x 9 =45

Area of the walkway:

2 x 8 =16

Area of the garden:

3 x 7 =21

Total:

45+16+21 = 82

Could anyone help me on this?

Answers

Answer:

117

Step-by-step explanation:

we should subtract 63 from 180

so 180 - 63 = 117°

Can you find the missing side lengths?

Answers

Answer:

I may be wrong but I think the missing side is 7.

Step-by-step explanation:

because 40 minus 8 is 32 so I did 15 minus 8 and got 7

simplify: -7/9-(-5/12)+1/3. ​

Answers

Step-by-step explanation:

please mark me as brainlest

Answer:

[tex]\sf -\dfrac{1}{36}[/tex]

Explanation:

[tex]\rightarrow \sf -\dfrac{7}{9} -(-\dfrac{5}{12} )+\dfrac{1}{3}[/tex]

remove parenthesis

[tex]\rightarrow \sf -\dfrac{7}{9} +\dfrac{5}{12} +\dfrac{1}{3}[/tex]

all the denominators has a common multiple of 108

[tex]\rightarrow \sf -\dfrac{7(12)}{108} +\dfrac{5(9)}{108} +\dfrac{1(36)}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-84}{108} +\dfrac{45}{108} +\dfrac{36}{108}[/tex]

join the fractions

[tex]\rightarrow \sf \dfrac{-84+45+36}{108}[/tex]

simplify

[tex]\rightarrow \sf \dfrac{-3}{108}[/tex]

simplify

[tex]\rightarrow \sf -\dfrac{1}{108}[/tex]

help please thank you

Answers

Answer:

hmm i think its

1/2(x + y)

Step-by-step explanation:

because well... this would be eaiser for me if it said "of the" because "of the" is mostly used for multiply, but since it just said "the..." i can only guess. I think this may be the answer tho?

The equation would be 1/2(x + y).
Due to x and y being the quantity you would simply take one half of that as a whole.

Evaluate 9 divided by 3 [(18-6)-2 to the second power]

Answers

Answer: 24

I hope this helped

Which of the following choices represents the average of other four?
A)4. B)-3. C). -4. D). -17. E). 5

Answers

Answer:

B) -3

Step-by-step explanation:

The average can be found by dividing the sum of the numbers by the total number of numbers.

[tex]mean = \frac{the \: sum}{n} [/tex]

[tex]mean = \frac{4 + ( - 4) + ( - 17) + 5}{4} [/tex]

[tex]mean = \frac{0 + ( - 12)}{4} [/tex]

[tex]mean = \frac{ - 12}{4} [/tex]

[tex]mean = - 3[/tex]

The mean is -3, so we can say the answer is B.

Answer:

B. -3.

Step-by-step explanation:

A ' middle' number looks like -3.

(4 + -4 - 17 + 5) / 4

= (-21 + 9) /4

= -12/4

= -3.

Use a net to find the area of the entire surface of the solid.​


A rectangular prism made of unit cubes. The length is 5 unit cubes, width 4 unit cubes, height 3 unit cubes.


The surface area of the prism is

square units.

Answers

Check the picture below.

[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\textit{front and back}}{2(5\cdot 3)}~~ + ~~\stackrel{\textit{left and right}}{2(3\cdot 4)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5\cdot 4)}}\implies 30+24+40\implies 94[/tex]

The area of the entire surface of the solid given is 94 units².

What is Surface Area?

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a rectangular prism.

It consists of 3 pairs of identical rectangular sides.

Area of a rectangle = length × width

Find the area of each rectangular sides to find the total area.

Total area = (5 × 3) + (5 × 3) + (5 × 4) + (5 × 4) + (4 × 3) + (4 × 3)

                 = 15 + 15 + 20 + 20 + 12 + 12

                 = 94 units²

Hence the area of the prism given is 94 units².

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answer correctly thanks ​

Answers

Answer:

Angle CBD is 65°

Step-by-step explanation:

All of these angles add up to 180:

So, we can make this equation: (x is CBD)

46 + 21 + 48 + x = 180

115 + x = 180

-115         -115

x = 65

Hope this helps

Answer:

∠CBD = 65 degrees

Step-by-step explanation:

Please open the attached image!!

What is the domain for the following function?
y=-x+1
x²+x-6
X-
O A. {X-1
O B. (x*-3
O c. {# -3;x # 2)
OD. x+0)

Answers

Ans is c because if X has these value it will be infinity

The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the rectangle.

Answers

Answer:

The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

[tex] \\ { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length × width}}}}}} \\ \\ [/tex]

Substituting values in above formula:

[tex] \\ \dashrightarrow \sf \: \: (3 + 2x)(x) = 54 \\[/tex]

[tex]\dashrightarrow \sf \: \: 3x + 2x^2 = 54 \\ [/tex]

[tex]\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\: [/tex]

[tex]\dashrightarrow \sf \: \: 2x(x + 6) -9(x + 6) = 0\\ [/tex]

[tex]\dashrightarrow \sf \: \: (2x -9)(x+6) = 0 \\ [/tex]

[tex]\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}} [/tex]

[tex]\dashrightarrow \: \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}[/tex]

Hence,

Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 mWidth of the rectangle = x = 4.5m

[tex] \\ { \underline{ \pmb{ \frak{ \therefore Length \: and \: width \: of \: the \: rectangle \: is \:12 \: m \: and \: 4.5 \: m}}}} \\ [/tex]

Answer:

The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given :-

The length of a rectangle is 3 m more than twice the width the area of the rectangle is 54 m²

To find :-

Dimensions of rectangle

Solution:-

According to the question ,

Let the width of rectangle be x and length of rectangle be 2x+3 m

Area of rectangle :- L×B

L×B = 54m²

(2x+3) * x = 54m²

x = 4.5 m

By putting the value of x , we get

Length :- 2x+3 = 12 m

Width :- 4.5 m

[tex] \displaystyle \rm\int_{0}^{ \infty } \left( \frac{ {x}^{2} + 1}{ {x}^{4} + {x}^{2} + 1} \right) \left( \frac{ ln \left(1 - x + {x}^{2} - {x}^3 + \dots + {x}^{2020} \right) }{ ln(x) } \right) \: dx[/tex]​

Answers

Recall the geometric sum,

[tex]\displaystyle \sum_{k=0}^{n-1} x^k = \frac{1-x^k}{1-x}[/tex]

It follows that

[tex]1 - x + x^2 - x^3 + \cdots + x^{2020} = \dfrac{1 + x^{2021}}{1 + x}[/tex]

So, we can rewrite the integral as

[tex]\displaystyle \int_0^\infty \frac{x^2 + 1}{x^4 + x^2 + 1} \frac{\ln(1 + x^{2021}) - \ln(1 + x)}{\ln(x)} \, dx[/tex]

Split up the integral at x = 1, and consider the latter integral,

[tex]\displaystyle \int_1^\infty \frac{x^2 + 1}{x^4 + x^2 + 1} \frac{\ln(1 + x^{2021}) - \ln(1 + x)}{\ln(x)} \, dx[/tex]

Substitute [tex]x\to\frac1x[/tex] to get

[tex]\displaystyle \int_0^1 \frac{\frac1{x^2} + 1}{\frac1{x^4} + \frac1{x^2} + 1} \frac{\ln\left(1 + \frac1{x^{2021}}\right) - \ln\left(1 + \frac1x\right)}{\ln\left(\frac1x\right)} \, \frac{dx}{x^2}[/tex]

Rewrite the logarithms to expand the integral as

[tex]\displaystyle - \int_0^1 \frac{1+x^2}{1+x^2+x^4} \frac{\ln(x^{2021}+1) - \ln(x^{2021}) - \ln(x+1) + \ln(x)}{\ln(x)} \, dx[/tex]

Grouping together terms in the numerator, we can write

[tex]\displaystyle -\int_0^1 \frac{1+x^2}{1+x^2+x^4} \frac{\ln(x^{2020}+1)-\ln(x+1)}{\ln(x)} \, dx + 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

and the first term here will vanish with the other integral from the earlier split. So the original integral reduces to

[tex]\displaystyle \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \frac{\ln(1-x+\cdots+x^{2020})}{\ln(x)} \, dx = 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

Substituting [tex]x\to\frac1x[/tex] again shows this integral is the same over (0, 1) as it is over (1, ∞), and since the integrand is even, we ultimately have

[tex]\displaystyle \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \frac{\ln(1-x+\cdots+x^{2020})}{\ln(x)} \, dx = 2020 \int_0^1 \frac{1+x^2}{1+x^2+x^4} \, dx \\\\ = 1010 \int_0^\infty \frac{1+x^2}{1+x^2+x^4} \, dx \\\\ = 505 \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4} \, dx[/tex]

We can neatly handle the remaining integral with complex residues. Consider the contour integral

[tex]\displaystyle \int_\gamma \frac{1+z^2}{1+z^2+z^4} \, dz[/tex]

where γ is a semicircle with radius R centered at the origin, such that Im(z) ≥ 0, and the diameter corresponds to the interval [-R, R]. It's easy to show the integral over the semicircular arc vanishes as R → ∞. By the residue theorem,

[tex]\displaystyle \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4}\, dx = 2\pi i \sum_\zeta \mathrm{Res}\left(\frac{1+z^2}{1+z^2+z^4}, z=\zeta\right)[/tex]

where [tex]\zeta[/tex] denotes the roots of [tex]1+z^2+z^4[/tex] that lie in the interior of γ; these are [tex]\zeta=\pm\frac12+\frac{i\sqrt3}2[/tex]. Compute the residues there, and we find

[tex]\displaystyle \int_{-\infty}^\infty \frac{1+x^2}{1+x^2+x^4} \, dx = \frac{2\pi}{\sqrt3}[/tex]

and so the original integral's value is

[tex]505 \times \dfrac{2\pi}{\sqrt3} = \boxed{\dfrac{1010\pi}{\sqrt3}}[/tex]

A linear function has a y-intercept of 10 and a slope of . What is the equation of the line?

Answers

You forgot to include your slope but it should just follow the form y= mx+ b. where m is your slope and b is your y-intercept.

Solve the inequality: -2x + 7 < 23

Answers

Answer:

x > -8

Step-by-step explanation:

-2x + 7 < 23

Subtract 7 from each side

-2x + 7-7 < 23-7

-2x  < 16

Divide by -2, remembering to flip the inequality

-2x/-2 > 16/-2

x >-8

Step-by-step explanation:

[tex] = - 2x + 7 < 23[/tex].

Move the constant to the right side..

[tex] = - 2x < 23 - 7[/tex]

Subtract 7 from 23

[tex] = - 2x < 16[/tex]

Change the symbol and reverse the symbol of the inequality to other direction...

[tex] = 2x > - 16[/tex]

Now....divide both side by the same number

[tex] = x > - 8[/tex]

What is the axis of symmetry for y=2x^2+16x-5

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

Convert to vertex form by completing the square

[tex]y=2x^2+16x-5\\\\y=2(x^2+8x-\frac{5}{2})\\ \\y+2(\frac{37}{2})=2(x^2+8x-\frac{5}{2}+\frac{37}{2})\\ \\y+37=2(x^2+8x+16)\\\\y+37=2(x+4)^2\\\\y=2(x+4)^2-37[/tex]

Since the equation is now in the form of [tex]y=a(x-h)^2+k[/tex], the axis of symmetry is where [tex]x=h[/tex], so, the axis of symmetry is [tex]x=-4[/tex].

Answer:

x=-4

Step-by-step explanation:

i took the test

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In the sentence below,identify the subject(s),select all that apply:Winnie-the-Pooh gave Piglet a pot of golden honey.Question 4 options:PigletWinnie-the-Poohpothoney2. In the sentence below, identify theobject(s), select all that apply:Winnie-the-Pooh gave Piglet a pot of golden honey.Question 5 options:potPiglethoneyWinnie-the-Pooh3. To find a main noun and verb in a sentence, it's best practice to find theverb(s)first.Question 8 options:TrueFalse4. How do you test a word to see if it's a main verb? (select all that apply)Question 10 options:Find the subject and try words to see if there's a verb.Find all words with "ing" endings.Ask who/what before the word, followed by the rest of the clause.If the question makes sense as a question (without adding extra words), you've found a verb.Determine what the word isdoing/beingin the sentence.5. Which of the following are "watch out words" for verbs, words thatlooklike verbs but are not main verbs? (Select all that apply)Question 11 options:Participles are not main verbsIf a verb follows an object it is not a main verb.Verbs ending in "ed" are not main verbs.Gerunds are not main verbs.If a verb follows a relative pronoun it is not a main verb.If a verb follows a subject it is not a main verb.If a verb follows the word "to" it is not a main verb.6. Determine themain verb(s)in the sentence below, select all that apply:As soon as he saw the big boots, Pooh knew that an adventure was going to happen, and he brushed the honey off his nose with the back of his paw, and spruced himself up as well as he could, so as to look ready for anything.Question 14 options:knewbrushedwas goingsprucedsawhappenlook7. Determine themain verb(s)in the sentence below, select all that apply:Pooh sat down, dug his feet into the ground, and pushed hard against Christopher Robin's back, and Christopher Robin pushed hard against his, and pulled and pulled at his boot until he had got it on.Question 15 options:had gotdugpushedpulledsat8. In the sentence below, determine themain verb(s), select all that apply:Piglet was sitting on the ground at the door of his house blowing happily at a dandelion, and wondering whether it would be this year, next year, sometime or never.Question 16 options:wassittingblowingwondering9. In the sentence below, determine thesubject(s), select all that apply:Piglet was sitting on the ground at the door of his house blowing happily at a dandelion, and wondering whether it would be this year, next year, sometime or never.Question 17 options:yearhousePigletdandelion Environmentalists are monitoring an area of tropical forest that is being deforested because of human activities. The graph here shows the scientists' predictions based on the data they have collected. How is the ecosystem likely to change as a result? Select the two correct answers.A. decrease in biodiversityB. gain in oxygenC. gain of speciesD. loss of habitat The basic elements of the nervous system are called:. What is juan's plan after writing the letter to mariana?a. to move to paris and be with marianab. to get a job at the censorship office and intercept the letter.c. to wait and hope that the letter never makes it to mariana. A boy walks up a hill. His displacement from his starting point is (800, 150) m. How much gravitational potential energy has he gained? 100 POINTS!! Pls help! (I messed up putting the points on the other one)Down syndrome, the most common genetic condition in the United States, is also known as Trisomy 21. What does this mean.A. A person with Down syndrome has three copies of chromosome 21 instead of two copies. An extra chromosome 21 was present in either the sperm or the egg cell. 2. The following table provides information about the production possibilities frontier of a Country.(4)Computer Wheat 0 42010 40030 36050 30070 20090 0a. Plot and connect these points to create Country's production possibilities frontier.b. If the Country currently produces 10 computers and 400 kg wheat, what is the opportunity cost of an additional 20 computers?c. Suppose that a technological advancement allows the country to produce computers more efficiently. What would be the effect on the PPF? Draw it. In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework I need help please. Find the volume of the composite solid. Explain how many solutions this system of equations has.