What is the value of x?​

What Is The Value Of X?

Answers

Answer 1

Answer:

5.6

Step-by-step explanation:

We want to find the value of x, which is part of the segment that includes the length 10.

We need to use Power of Points, one property of which essentially says that if we have two intersecting chords such that they are each cut into two parts to make a and b, and c and d, then ab = cd (see attachment).

Here, we can say that a = 10, b = x, c = 7, and d = 8. Plug these in:

ab = cd

10 * x = 7 * 8

10x = 56

x = 56/10 = 5.6

The answer is 5.6.

What Is The Value Of X?
Answer 2

Each diagonal has two parts (a, b, c, and d).

The formula is ab = cd

We have the values:

a = 10

b = x

c = 8

d = 7

Put these in the formula:

10x = (8)(7)

Solve for x.

10x = (8)(7)

10x = 56

10x/10 = 56/10

x = 5.6

Therefore, the answer is x = 5.6

Best of Luck!


Related Questions

Look on my last post giving 70 points for one math problem if u answer I will rate u brainiest on this question and on that one

Answers

Answer:

did it

Step-by-step explanation:


A figure is translated <3, -3>. Which translation will move the image back to the
preimage original position?

Answers

Answer:   < -3, 3 >

The original translation < 3, -3 > moves the figure 3 units to the right and 3 units down.

We undo this by moving 3 units left and 3 units up, which is what < -3, 3 > describes.

The translation <-3, 3> will move the image back to the preimage original position.

What is translation of image ?

The displacement of a image from one place to another is called translation of image.

What is the original position of the image ?

If a figure is on the origin, i.e. (0, 0), then if turns 3 cells right.

We can see that, It translated as (3,0)

Again if it go down 3 cells, then the translated one is (3, -3)

So, moving it back, we should translate it 3 cells left & 3 cells up.

So after translation, it should be (-3, 3).

Learn more about Translation here :

https://brainly.com/question/1046778

#SPJ2

What is a net and how can you use it to help you find the surface area of a 3-Dimensional figure?

84 points for brainliest!

Answers

Answer:Surface Area of a Solid

The surface area of a 3-dimensional object is the measure of the total area of all its faces. This means that one way to find the surface area of a solid is to find the area of its net. The surface area of a rectangular prism is the area of the six rectangles that cover it.

Step-by-step explanation:

Express 72 as a product of its prime factors​

Answers

Answer:

okay

Step-by-step explanation:

2^3 times 3^2

Answer:

2^3*9

Step-by-step explanation:

72-9

8-2

4-2

2-2

1

Simplify ⁴√5x times ⁴√2x

Answers

Answer:

[tex]\sqrt[4]{10x2}[/tex]

Answer:

⁴√10√x

Step-by-step explanation:

⁴√5x*⁴√2x

⁴√5x = ⁴√5⁴√x

=⁴√5 ⁴√x⁴√2x

⁴√2x = ⁴√2⁴√x

=⁴√5⁴√2⁴√x⁴√x

⁴√x⁴√x = x1/4x1/4 = x1/4+1/4

=⁴√5⁴√2⁴x1/4+1/4

1/4+1/4 = 1/2

=⁴√5⁴√2⁴√x

⁴√5⁴√2⁴ = ⁴√5*2

=⁴√5*2√x

5*2 = 10

= ⁴√10√x

Consider the equation
3 (4x – 2) + 6 = 5 (2x – 8) + 2
>
(Solve for x first!!)
Below are two truths and one lie:
>
1. x is a negative number
2. 3x>2x
3. x+5>x

Answers

Answer:

-19

Step-by-step explanation:

12x - 6 + 6 = 10x - 40 + 2

12x - 10x = -40 + 2 + 6 -6

2x = -38

x = -38/2 = -19

The two truths are:

x is a negative number (x = -19)

x+5>x (if x is positive, is true; if x is negative, is also true)

The one lie is:

3x > 2x (if x is negative, the expression will be 3x < 2x)

What fraction is equal to 35%

Answers

Answer:

7/20

Step-by-step explanation:

35/100 is simplified to 7/20. Here is another example with a different percentage. Change 25% to a fraction. 25/100 is simplified to 1/4


Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has
been consistent each year,
VX
Wins
Losses
18
2
45
5
36
4
27
X
Using the information in the table, how many losses should he predict for next year if the number of games won is 272
1
ОО
3
6
9
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

3

Step-by-step explanation:

you have to multiply by 9.

2times9=18,5times 9=45,4times 9=36,

3times9=27.

Simplify 8X +7 - 2X -4

Answers

Answer:

6x + 3

Step-by-step explanation:

8x - 2x + 7 -4

Look at the attached picture

Hope it will be helpful to you..

Have a great day..

(◍•ᴗ•◍)

About how many inches wide is the toolbox?

[tex]7.2 in. \: gum \: wrappers[/tex]
[tex]12.49in. \: shoelaces [/tex]
[tex]4.579in. \: paperclips[/tex]

Answer FAST PLS!!!!!​

Answers

Answer: 24

Step-by-step explanation:

7+12+5=24

Answer:

24

Step-by-step explanation:

Which of these is another way to write the function f(x) = 5*

Answers

Answer:

May you kindly provide us with a selection of choices? Thank you ! :)

Step-by-step explanation:

A newspaper article is summarized: According to a new study, teachers may be more inclined to give higher grades to students, hoping to gain favor with the university administrators who grant tenure. The study examined the average grade and teaching evaluation in a large number of courses given in 1997 in order to investigate the effects of grade inflation on evaluations. " I am concerned with student evaluations because instruction has become a popularity contest for some teachers, " said Professor Smith, who recently completed the study. Results showed higher grades directly corresponded to a more positive evaluation. The last statement above means the study found that:_________.
a) Higher course grades are positively associated with teaching evaluation
b) Teaching evaluation is negatively associated with course grade
c) There was a perfect positive correlation between course grade and teaching evaluation
d) Each letter grade increase is associated with a 10% increase in positive evaluations for the professor.

Answers

The answer is would probably have to be B

Which statement is true about AC?

Answers

Nothing to go off of here

Answer:

A.

The electrons move back and forth.

Step-by-step explanation:

i took the test

PLEASE HELP!!!

Given the function f(x)=(x+1)(x-3)

a) What are the x-intercepts?
b)What is the axis of symmetry?
c)What is the vertex?

Answers

Answer:

a) (-1,0) and (3,0)

b) x=1

c) (1, -4)

Step-by-step explanation:

As you can see in the graph below, the x intercepts of this graph are at (-1,0) and (3,0), the axis of symmetry is x=1, and the vertex is at (1,-4). Hope this helps!

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup.a. Formulate the hypotheses that could be used to determine whether the percentage of supermarket shoppers who believe that the supermarket ketchup was as good as the national brand ketchup differed from 64%.b. If a sample of 100 shoppers showed 52 stating that the supermarket brand was as good as the national brand, what is the p-value?c. At α= .05, what is your conclusion?d. Should the national brand ketchup manufacturer be pleased with this conclusion?Explain.

Answers

Answer:

Step-by-step explanation:

Given that:

A study is conducted and the study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name brands.

a)

Thus; we formulate the null and the alternative hypotheses as follows:

The proportion is ; [tex]\frac{64}{100}[/tex] = 0.64

Null hypothesis:    [tex]{H_0}:p = 0.64[/tex]  

The Null hypothesis states that there is no evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

Alternative hypothesis: [tex]{H_a}:p \ne 0.64H[/tex]

The Alternative hypothesis states that there is evidence that “the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%”.

b)

The proportion of the population = 0.64

The sample size n = 100

The number of shoppers = 52  stating that the supermarket brand was as good as the national brand

The sample proportion [tex]\hat p = \frac{52}{100}[/tex]

[tex]\hat p = 0.52[/tex]

The z - value is calculated by the formula:

[tex]z = \dfrac{\hat p-p}{\frac{\sqrt{ p(1-p)}}{100 }}[/tex]

[tex]z = \dfrac{0.52-0.64}{\frac{\sqrt{ 0.64(1-0.64)}}{100 }}[/tex]

[tex]z = \dfrac{-0.12}{0.048 }}[/tex]

z = -2.50

Since z = -2.50

the p-value = 2P(Z ≤ -2.50)

p-value = 2 × 0.0062

The p-value = 0.0124

c)

At  significance level,  ∝ = 0.05 ; The p-value = 0.0124

According to  the rejection rule, if p-value is less than 0.05 then we will reject null hypothesis at ∝ = 0.05

Hence, the p-value =0.0124 < ∝ (=0.05)

According to the reject rule; reject null hypothesis.

Conclusion: There is no evidence at all that the percentage of supermarket shoppers believes that the supermarket ketchup is good as the national brand ketchup differ form 64%.

d) we know that the significance level of ∝  = 0.05

The value[tex]{z__{0.05}}[/tex]  is obtained as:

[tex]P\left( {\left| Z \right| \le z} \right) = 0.05[/tex]

Now; to determine Z ; we locate the probability value of 0.05 form the table of standard normal distribution. Then we proceed to the left until the  first column is reached and  the value is 1.90. Also , we move upward until we reach the top and the value is 0.06. Now; the intersection of the row and column results the area  to the left of z

This implies that :[tex]P(Z \leq -1.96)=0.05[/tex]

The critical value for left tail is -1.96 and the critical value for right tail is 1.96.

Conclusion:

The critical value is -1.96 and the value of test statistic is - 2.50.  Here, we can see that  the value of test statistic is lesser than the critical value. Hence, we can be concluded that there is evidence that reject the null hypothesis.

Therefore, Yes, the national brand ketchup manufacturer is pleased with the conclusion.

Following are the solution to the given points:

For point a:

Calculation of the hypotheses:

Null hypothesis [tex]\ H_0:p=0.64 \\\\[/tex]

Alternative hypothesis [tex]\ H_a : p \neq 0.64[/tex]

For point b:

 Checking the value:  

[tex]\to np_0=100 \cdot 0.64=64>5\\\\\to n(1-p_0)=100\cdot(1-0.64)=100 \cdot 0.36= 36 > 5[/tex]

Test statistic:

[tex]\to Z= \frac{0.52-0.64}{\sqrt{\frac{0.64 \times 0.36}{100} }}=-2.50[/tex]

Since there are two-sided for the test. so, [tex]z=-2.50[/tex] is negative.

Calculation of the P-value:  [tex]\to p=2P(z \leq -2.50)=2 \cdot 0.00621=0.01242<\alpha =0.05[/tex]

For point C:

In this choice, the Null hypothesis value should be rejected.

For point D:

Evidence indicating the percent of supermarket customers who believe supermarket Ketchup is just as good as brand name Ketchup differs from 64%. As a result, the national brand Ketchup maker must be dissatisfied with this conclusion so because results could be applied to its product.

Learn more:

brainly.com/question/16015381

Bicycles are often classified by wheel diameter. A common diameter is 26 inches. What is the circumference of this bicycle tire? Round to the nearest tenth.

Answers

Answer:

81.7 inches

Circumference = πd. where d is the diameter

22/7 * 26 = 81.7 inches

Express the sum in the simplest form. x/x+5 + 5/x+5

Answers

Answer:

11x+5/x

Step-by-step explanation:

What is the diameter of a sphere with a volume of 6329\text{ ft}^3,6329 ft

3

, to the nearest tenth of a foot?

Answers

Answer:

Diameter = 22.9 ft

Step-by-step explanation:

We are told that volume of the sphere is 6329 ft³

Now formula for volume of sphere is given as;

V = (4/3)πr³

Thus,

(4/3)πr³ = 6329

Multiply both sides by 3/4 to get;

πr³ = (6329) * 3/4

πr³ = 4746.75

Divide both sides by π to obtain;

r³ = 4746.75/π

r = ∛(4746.75/π)

r = 11.4749 ft

Now, diameter = 2 x radius

Diameter = 2 × 11.4749

Diameter = 22.9498 ft

Approximating to a tenth of a feet gives;

Diameter = 22.9 ft

Lynn is making custom bricks. She combines 39 pounds of water and 48 pounds of brick dust
in a mixing bucket. She spills 13 pounds of the mixture while stirring the contents. The
mixture is then poured into small dirt holes to make bricks. Each brick requires 7 pounds of
mixture, and the leftover mixture is washed out of the mixing bucket
What is the greatest number of bricks Lynn can make?
bricks

How many pounds of mixture will be washed out of the bucket if Lynn makes the greatest
number of bricks?
pounds​

Answers

Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

Pounds of water = 39

Pounds of brick dust = 48

Total mixture = 87 pounds

Mixture spilled = 13 pounds

Mixture remaining = 87 pounds - 13 pounds

= 74 pounds

Mixture in each brick holes = 7 pounds of mixture

Greatest number of bricks Lynn can make = Mixture remaining ÷ Mixture in each brick holes

= 74 pounds ÷ 7 pounds

= 10 remaining 4 pounds

Therefore,

Greatest number of bricks Lynn can make is 10 and 4 pounds of the mixture will be washed out of the bucket

https://brainly.com/question/16718414

Answer: Greatest number lynn can make is 10 Bricks.

4 pounds will be washed out the bucket.

Step-by-step explanation:

please its urgent!!!​

Answers

Step-by-step explanation:

[tex]-1 + (-9w^2)-7w+7w^2[/tex]

Combine like terms.

[tex]-9w^2 + 7w^2-7w-1[/tex]

[tex]-2w^2-7w-1[/tex]

For each pair of functions and below, find and .
Then, determine whether and are inverses of each other.
Simplify your answers as much as possible.
(Assume that your expressions are defined for all in the domain of the composition.
You do not have to indicate the domain.)
f(x)=3/x,x=/= 0
g(x)=3/x, x=/=0
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other
f(x)=x+4
g(x)=-x+4
f(g(x))=
g(f(x))=
f and g are inverses of each other
f and g are not inverses of each other

Answers

Answer:

1- Inverses .

2 - Not inverses.  

Step-by-step explanation:

Notice that

1 -

[tex]f(g(x))= 3/(3/x) = (3x)/3 = x[/tex]

Since their composition is the identity, then they are inverses.

2 -

[tex]f(g(x)) = ((-x+4)+4) = -x+8[/tex]

Since their composition is not the identity, then they are not inverses.

A triangle has a base 5 cm and a height of 8 cm what is the area of the triangle

Answers

Answer:

20 cm

Step-by-step explanation:

Area of a triangle is base x height/2, so in this case its 5x8/2 which is 40/2 therefor making the answer 20

If sin theta = -(sqrt(3))/2 and pi < =theta <= (3pi)/2, determine the value of cos(20)

Answers

Answer:

Sin theta = -1/2

Step-by-step explanation:

pi < =theta <= (3pi)/2.

The above expression shows we are dealing with angle on the 3rd quadrant.

I.e greater than 180 but less than 270.

So sin tita = (√3)/2

But sin and cos are all negative in the third quadrant.

So tita = sin^-1(√3)/2

tita = 60°

Cos tita = cos 60

Cos tita = cos 60

Cos60 = 0.5

Cos 60 = 1/2

If

sin theta = -(sqrt(3))/2

Sin theta = -1/2

A cylinder has a base diameter of 20 centimeters and a height of 14 centimeters.
What is its volume in cubic centimeters, to the nearest tenths place?

Answers

Answer: 4,588.4 cubic centimeters.

Step-by-step explanation: 20 centimeters ⋅ 14 centimeters = 280 centimeters = 4588.38 cubic centimeters = 4,588.4 cubic centimeters.

write in the simplest form 15:45

Answers

Answer:

1:3

Step-by-step explanation:

:))

1:3

15 / 15 = 1

45 / 15 = 3

So its 1:3

Which is equivalent to cos^-1(.17) round your answer to the nearest hundredth of a radian

Answers

Answer:

cos^-1(.17) is 1.40 in radian

Step-by-step explanation:

Given cos^-1(.17), the equivalent is 80.212

This is approximately 80.21°

Which is 1.40 in radian

Question
A gymnast, who can stretch her arms up to reach 6 feet, jumps straight up on a trampoline. The height of
her feet above the trampoline can be modeled by the equation h =-16x2 + 12x, where x is the time in
seconds after her jump.
Do the gymnast's hands reach a height of 11 feet above the trampoline? Use the discriminant to explain.
(Hint: Since h = height of feet, you must use the difference between the heights of the hands and feet.)
The value of the discriminant is
The discriminant is a (select) number. So, there
(select) real solutions for this height. The gymnast hands (select) reach a height of 11 feet.

Answers

Answer:

The discriminant of the equation is less than zero. The gymnast's hands do not reach a height of 11 feet

Step-by-step explanation:

The gymnast's hands does not reach a height of 11 feet above the trampoline.

What is Quadratic Equation?

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is a[tex]x^{2}[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

It is given that ,

h= [tex]-16x^{2} +12x[/tex]

11-6= [tex]-16x^{2} +12x[/tex]

5 = [tex]-16x^{2} +12x[/tex]

[tex]-16x^{2} +12x[/tex] -5=0

Comparing the above equation with the standard form of quadratic equation [tex]ax^{2} +bx+c=0\\[/tex]

we get ; a=-16, b=12, c=-5

Using Discriminant method

D= [tex]\sqrt[]{b^{2} - 4*a*c}[/tex]

  = [tex]\sqrt[]{(12)^{2} - 4* (-16)*(-5)}[/tex]

  = [tex]\sqrt[]{144-320}[/tex]

  = [tex]\sqrt[]{-176}[/tex]

Hence D<0, which means there is no real value.

So, the gymnast's hands does not reach a height of 11 feet above the trampoline.

Learn more about quadratic equation here:

https://brainly.com/question/2263981

#SPJ2

Uma sala tem o formato de um trapézio, determine a área dessa sala.
1 ponto
Imagem sem legenda
(a) 10,4 m²
(b) 25,6 m²
(c) 12,8 m²
(d) 15,2 m²

Answers

Answer:

[tex]\large \boxed{\text{12.8 m}^{2}}[/tex]

Step-by-st ep explanation:

Assume the room is like the image below.

The formula for the area of a trapezoid is  

A = ½(a + b)h,

where a and b are the lengths of the parallel sides and h is the distance between them.

Data:

a = 3.8 m

b = 2.6 m

h = 4    m

Calculation:

[tex]\begin{array}{rcl}A & = & \dfrac{1}{2}(a + b)h\\\\& = & \dfrac{1}{2}(3.8 + 2.6)\times 4\\\\& = & \dfrac{1}{2}(6.4) \times 4\\\\A & = & \dfrac{1}{2}\times25.6\\\\& = & \textbf{12.8 m}^{\mathbf{2}}\\\end{array}\\\text{The area of the room is $\large \boxed{\textbf{12.8 m}^{\mathbf{2}}}$}[/tex]

Find g(x) if it is known that g(2t)=8t−1.

Answers

Answer:

g(x) = 4x - 1

Step-by-step explanation:

Linear function in the format: g(x) = ax + b

g(2t) is a*(2t)+b

g(2t) = 8t - 1 means that:

when x = 2t, g = 8t - 1.

So

Equaling both sides

8t - 1 = a*2t + b

So

b = -1,

and

2a = 8, a = 8/2, a = 4

So

g(x) = 4x - 1

Sammy the school custodian is having a debate with Marci the museum curator. Sammy contends that the school is larger than the museum in terms of area. Marci contends the opposite.

To settle their debate, they find satellite images of both buildings and juxtapose them on a single coordinate grid (shown below).

The area of the school is

\text{m}^2m

2

start text, m, end text, squared.

Round the final answer to the nearest square meter. Do not round intermediate calculations.

The area of the museum is

\text{m}^2m

2

start text, m, end text, squared.

Round the final answer to the nearest square meter. Do not round intermediate calculations.

Who should win the debate?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

Sammy


(Choice B)

B

Marci

Answers

Answer:

2000 m²2827 m²B.  Marci

Step-by-step explanation:

It is convenient to compute the areas in terms of grid squares. Then those results can be converted to square meters by multiplying by the area of a grid square: (10 m)² = 100 m².

(a) The area of the school is the product of its side dimensions. The short side is (in terms of grid squares) ...

 W = √(1²+3²) = √10

The long side is ...

  L = √(2²+6²) = √40

Then the area is ...

  A = LW = (√40)(√10) = √400 = 20

The area of the school is 20 grid squares = 2000 m² . . . . . where s = 10 m

__

(b) The area of the museum is given by the formula ...

  A = πr² = π(3)² = 9π grid squares = 2827 m²

The area of the museum is 2827 m².

__

(c) Marci says the museum has a larger area than the school. She is correct.

Marci should win the debate.

Other Questions
Base your answers on the graph below, which represents uniform cooling of a sample of a pure substance, starting as a gas. The boiling point of the substance is A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base? 32 pi square meters 18 pi square meters 279 pi square meters 2,592 pi square meters when is a event likely, not likely, unlikely in probolilityi need help which statement correctly describes a scienfic theory Energy in this ecosystem passes directly from the sun to A. Herbivores B.consumers C.heterotrophsD. Autotrophs The first official count of Sudan's referendum has been announcedwith the country's diaspora in Europe overwhelming voting forsecessionIn this sentence, diaspora means.thespace sought for occupation by a nationthe financial sector, including banking and investingthe territory within which power can be exercisedthe dispersion of something that was originallylocalized During a week in January in Cleveland, Ohio, the daily high temperatures were -4 F, -2 F, -12 F, 5 F, 12 F, 16 F, and 20 F. Which expression can be used to find the difference between the highest temperature of the week and the lowest temperature of the week? A lock has 3 digits and can have any number from 0-9 how many combinations are there The measure of one acute angle in this right triangle is 30. What is the measure of theother acute angle?300OA) 30OB) 60OC) 70OD) 90 plz Help your fav. Marshmello i wasn' t,,,,, xx born yesterday. keep it chill The natural greenhouse effect is important to life on Earth becauseA. Earth would be too hot without the natural greenhouse effectB. Earth would be too cold without the natural greenhouse effectC. there would be no atmosphere without the natural greenhouse effectD. all of the above The prism shown has a volume of 798 cm3. a l of 9.5 and a width of 8What is the height of the prism?8.6 cm10.5 cm17.5 cm45.6 cm 60 POINTSSS PLEASE HELPPPPP Fallen Leaves and Water Qualityadapted from U.S. Geological Survey (USGS) Removing leaf litter does a lot more than make a yard look nice. The leaves can actually be harmful if left alone. A study in Madison, Wisconsin shows why. Leaf litter adds a large amount of phosphorus to urban storm water, which then runs off into waterways and lakes. Excessive amounts of nutrients like phosphorus and nitrogen can be fatal for fish and other aquatic life. In Madison, Wisconsin, scientists tested exactly how much of the nutrients existed. Without removal, leaf litter and other organic debris in the fall contributed 56 percent of the annual total phosphorus in urban storm water. This compares to only 16 percent when streets were cleared of leaves prior to rain. This information proved to be very helpful. "Our study found that leaf removal is one of the few treatment options available to environmental managers for reducing the amount of dissolved nutrients in storm water," said Bill Selbig, a USGS scientist and the author of the report. "These findings are applicable to any city that is required to reduce phosphorus loads from urban areas." From 2013 to 2015, scientists looked at concentrations of phosphorus and nitrogen in storm water from two areas in western Madison that had similar tree cover. The city applied a leaf litter removal program from late September through mid-November at one site but not the other. The researchers found significantly lower amounts of phosphorus and nitrogen at the site where leaves were removed. The study also found that storm water nutrient levels were highest during the fall. This finding shows that leaf removal programs are most effective during fall in Madison. It also shows that sources other than leaves, such as street dirt and grass clippings, were likely the main contributors of phosphorus and other nutrients during spring and summer. During the study period, the city of Madison used leaf collection, street cleaning, and leaf blowers to remove leaf litter from residential areas. They also asked residents to pile their leaves next to the street to limit excess debris. Leaf collection and street cleaning occurred about every seven days from late September through mid-November. The study in Madison has helped shed light on growing concerns for many environmentalists. The good news is that with proper maintenance, all cities can produce cleaner water. The USGS collaborated with the City of Madison, the Fund for Lake Michigan, and the Wisconsin Department of Natural Resources on the study.4Select ALL the correct answers.Which two statements explain how paragraph 4 contributes to the development of ideas in the passage?A)It highlights the effectiveness of the leaf removal program.B)It introduces the importance of timing when removing leaf litter.C)It gives examples of the ways in which leaf litter is removed during fall.D)It presents the idea that leaf removal processes need to be improved.E) It shows that leaf litter can affect stormwater in multiple locations. Select the correct answer.In which location would a free neutron from a decaying U-235 atom be most likely to cause another atom to split?OAin a sample of naturally occurring uraniumB.in a sample of enriched uraniumO C.in a sample of rock or soilD.in the Sun's coreE.in a distant star Un kg de banane costa cat doua kilograme de portocale . Un restaurant a cumparat 30 de kg de portocale si 45 de kg de banane , pentru care a platit 360 de lei . Determinati pretul unui kg de portocale. am nevoie urgent de raspuns . A middle school took all of its 6th grade students on a field trip to see a ballet at a theatre that has 2000 seats. The students filled 90% of the seats in the theatre. How many 6th graders went on the trip? Why is our respiratory system important and how does a good nutrition affects them please respond in a paragraph Prove the triangles are congruent Evaluate the following expression using the given values: (1 point)Find x - 3y if x = 3 and y = -2.-9-3 3 9 (Please dont skip!)9th grade math.| a circle on a coordinate plane has a diameter with endpoints at (8,10) and (-2,0). determine the coordinate point for the center of the circle.