I need help quick I'll give brainliest!

I Need Help Quick I'll Give Brainliest!

Answers

Answer 1

Answer:

I'm pretty sure its a bridge, hopefully that's right <3

Step-by-step explanation:


Related Questions

26. Aluminum bronze consists of copper and aluminum, usually in the ratio of 10:1 by weight. If a machine made of this alloy weighs 66 pounds, how many pounds of aluminum does it contain? (A) 660 (B) 60 (C) 6.6 (D) 6​

Answers

Answer:

(D). 6.

Step-by-step explanation:

The number of parts = 1 + 10 = 11.

So 10/11 of the alloy is copper and 1/11 is aluminium.

So the answer is 1/11 * 66

= 66/11= 6 pound,s

I think of a number, subtract 5 and then multiply by 2. my answer is 80. what is my number?

Answers

Answer:

200

Step-by-step explanation:

Just do it in reverse and reverse "roles" multiplying Becomes Devidng and Devidng Becomes multiplying:

80/2=40, 40x5=200

Sanjay and felipe are putting together a 500-piece puzzle. sanjay could do the entire puzzle by himself in 6 hours, while it would take felipe 8 hours to do the puzzle alone. a table showing rate in part per hour, time in hours, and part of puzzle complete. the first row shows sanjay, and has blank, t, t. the second row shows felipe, and has blank, t, t. use the table to write and solve an equation to determine the approximate amount of time it would take sanjay and felipe to do the puzzle if they were working together.

Answers

Sanjay and Felipe would take a time of 3.4 hours to do the puzzle if they were working together.

What is the time?

Time can be described in mathematics as an ongoing and continuous series of events that take place one after another, from the past through the present and into the future.

The amount of time that something exists or continues to happen as measured or measurable.

The duration of events or the gaps between them can be measured, compared, or even ordered using time.

Time taken by Sanjay= 6 hours

Time taken by Felipe= 8 hours

Time taken by both if they work together,

=[tex]\frac{1}{1/6+1/8}[/tex]

=[tex]\frac{1}{\frac{4+3}{24} }[/tex]

=24/7

=3.4 hours

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Answer:

the answer is C

Step-by-step explanation:

kể tên các cặp góc kề bù

Answers

Welcome to https://saigonstartravel.com/ Saigon Star Travel – Top Thương Hiệu Du Lịch Hàng Đầu Tại TP Hồ Chí Minh là Đơn vị tổ chức Tour du lịch trong nước & nước ngoài chuyên nghiệp, Dịch vụ Visa – Vé máy bay Nhanh chóng & Uy tín và Cho Thuê xe Du lịch từ 16-29-35-45 chỗ & Xe giường nằm Chất lượng.

On a sunny day, Andrew, who is 1.9 m tall, casts a shadow that is 3.5 m long. A nearby tree casts a shadow that is 28.0 m long. To the nearest tenth of a metre, how tall is the tree?

Answers

Answer:

15.2

Step-by-step explanation:

The explanation is in the photo.. but basically this question is about similar triangles and you need to find the scale factor to find the height.

Hope it helps

the height of the tree is approximately 15.2 meters.

To find the height of the tree, we can set up a proportion between Andrew's height and the height of the tree based on their respective shadow lengths.

Let's denote the height of the tree as "h" meters.

The proportion between the height and shadow lengths can be written as:

h / 28.0 = 1.9 / 3.5

Now, we can solve for "h":

h = (1.9 / 3.5) * 28.0

h ≈ 15.2 meters

To the nearest tenth of a meter, the height of the tree is approximately 15.2 meters.

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A set of 5 numbers has an average of 50. The largest element in the set is 5 greater than 3 times the smallest element in the set. If the median of the set equals the mean, what is the largest possible value in the set

Answers

Answer:

5×3=15

15×3=45

therefore the largest value is 45

The largest possible value in the set is 92. The set has an equal mean and median. So, the set is {29, 29, 50, 50, 92}.

What are the mean and median of a set of data?

Mean:

For a set of data, the average of all the data values is said to be its mean.

Median:

When the set is arranged in ascending order, the middle term is said to be its median (if there are an odd number of data values in the set) or the average value of the two middle terms is the median (if there are an even number of data values in the set).

Calculation:

It is given that,

there are 5 numbers in the set

Mean = 50 and Median = Mean

So, Median = 50

Since there are 5 numbers in the set (odd number), the median is the third(middle) number.

Consider the first or smallest number as 's'.

Then the largest number = 3s + 5

By minimizing each term we get,

first term = s

second term = s

third term = 50

fourth term = 50

fifth term = 3s+5

If the mean is 50, then the sum of all the terms = 50 × 5 = 250

So,

s + s + 50 + 50 + 3s + 5 = 250

⇒ 5s + 105 = 250

⇒ 5s = 145

∴ s = 29

Thus, the smallest number is 29

Then, the largest number = 3s + 5 = 3 × 29 + 5 = 92

Therefore, the largest number in the given set is 92.

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Write a function of the geometric sequence with a starting term of 6 and a common ratio of 3. Find the sixth term.

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A function for the described sequence is; f(n) = 6• 3^(n-1) and the sixth term is; 1458.

What is the sixth term of the sequence?

Since, it follows that the first term of the sequence is; 6 and the common ratio is 3, it follows that the recursive function that represents the sequence is; f(n) = 6• 3^(n-1).

Additionally, by substitution of 6 for n; f(6) = 1,458.

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I really need help for my hw please help !!!!!!!

Answers

Answer:

1. 5.46 inches

2. 111% rounded to the nearest percent

3. 85.9 tons

4. 367.2 ft.

5. 49 percent

6. 466.7 inches

Step-by-step explanation:

1. .28 x 19.5

2. 97 = 87x  Divide both sides by 87

1.11 = x  This gives our answer as a decimal.  Move the decimal 2 places to the right to make a percent. 111%

3. 146 = 1.7x  to change a percent to a decimal move the decimal to places to the left.  Divide both sides by 1.7 and round

x = 85.9

4. (2.7) 136 = x

367.2 = x

5. x123 = 60  Divide both sides by 123

x = 0.4878  Move the decimal two places to the right and round to make a percent. 48.8

6. .12x = 56  Divide both sides by .12

x = 466.7


Solve 3a
17
7
8
9
- (2² + 1)² + a
when a = 8

Answers

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

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

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\huge\textbf{Simplify it: }[/tex]

[tex]\mathbf{3a - (2^2 + 1)^2 + a}[/tex]

[tex]\mathbf{= 3(8) - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (2^2 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - (4 + 1)^2 + 8}[/tex]

[tex]\mathbf{= 24 - 5^2 + 8}[/tex]

[tex]\mathbf{= 24 - 25 + 8}[/tex]

[tex]\mathbf{= -1 + 8}[/tex]

[tex]\mathbf{= 7}[/tex]

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

[tex]\huge\boxed{\frak{Option\ B. 7}}\huge\checkmark[/tex]

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

~[tex]\frak{Amphiitrite1040:)}[/tex]

An architect wants an artistic flair to the house he is building, so he designs windows that are three fourths of a circle in shape. The builder is making trim for the windows and needs to know the length of the arc of the outer rim of the window. If the central angle is 270 degrees, and the radius of the partial circle is 30 inches, how much trim is needed for each window? Round your answer to the nearest inch, and enter the number only.​

Answers

The amount of rim needed for each window is 141.4 in

How to find the length of the outer rim?

Since the outer rim is the length of an arc, we use the formula for length of an arc of a circle.

What is an arc?

An arc is part of section of the circumference of a circle

What is the length of an arc?

So, length of arc, L = Ф/360 × 2πR where

Ф = central angle of arc and R = radius of circle.

Gven that for the window rim

Ф = angle of the rim = 270° and R = radius of the rim = 30 in

Substituting the values of the variables into the equation for L, we have

L = Ф/360 × 2πR

L = 270°/360° × 2π × 30 in

L = 3/4 × 2π × 30 in

L = 3/2 × π × 30 in

L = 3 × π × 15 in

L = 45π in

L = 141.37 in

L ≅ 141.4 in

So, the amount of rim needed for each window is 141.4 in

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which statemennt is false?​

Answers

Answer:

B. Every integer is also an irrational number.

Si a,b y c son números dígitos tales que a + b + c es igual a 20. ¿Cual es el valor de abc + bca + cab?

Answers

Basado en la información, el valor de abc + bca + cab debe ser de 60.

¿Cuál es el valor de a+b+c?

El valor de la combinación de estás tres letras es de 20.

¿Cuál es el valor de abc + bca + cab?

Según la propiedad conmutativa el orden de los factores sumados no debe afectar su resultado, por lo que:

abc = 20bca = 20cab= 20

20+20+20 = 60

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No penalties have been given. Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. What should the Referee do

Answers

Fencer X attacks. Fencer Y makes a parry, and scores a riposte to the valid target of Fencer X. During the parry, Fencer Y strikes Fencer Xs mask with the bell guard. annual the touch fencer Y recieves  a RED CARD.

what are the fencing rules ?

Penalty cards or flags are also used in modern fencing. Each card has a unique meaning. A fencer who receives a yellow card is warned, but no further action is taken. A fencer who receives a red card is warned, and their opponent receives a touch. A fencer who receives a black card is disqualified from the competition and may be disqualified from the tournament, expelled from the venue, or suspended from future tournaments if the offence is serious. However, black cards are rarely given to fencers. It should be noted that spectators can (and occasionally are) carded or expelled.

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Pls help me !!! due today:(

Answers

Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "equations, expressions". The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Which equation would find the distance between the two points show on the coordinate plane?

Answers

The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

According to the question,

The equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

If (x₁, y₁) and (x₂, y₂) be any point in the plane then the distance between the two points equation is [tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

Hence, the equation would find the distance between the two points is

[tex]\sqrt{(x_{2}-x_{1}) ^{2}+(y_{2}-y_{1}) ^{2} }[/tex]

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Sampling distribution. a quarterback threw 1 interception in his first game, 2 interceptions in his second game, 5 in terceptions in his third game, and then he retired. consider the values of 1, 2, and 5 to be a population. assume that samples of size 2 are randomly selected (with replacement) from the population
a. list the 9 different possible samples and find the mean of each sample
b. what is the mean of the sample means from part a?
c. is the mean of the sampling distribution from part t equal to the mean of the population of the three listed values? are those means always equal?

Answers

(a) The Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

(b) The mean of the sample means from part (a) is 8/3.

(c) Yes, The mean of the sample distribution is always equal to the mean of the Population.

According to the questions,

Game number                          1      2        3      Total

Number of interceptions         1        2       5          8

a)   Element 1            Element 2

    1                              1

    2                            2

    5                            5

    1                             2

    1                            5

  2                             5

  2                              1

  5                               1

   5                              2

Sample mean of each sample is 1, 2, 5, 1.5, 3, 3.5, 3, 1.5,3,3.5.

b) The mean of the sample means from part a.

     (1+2+5+1.5+3+3.5+1.5+3+3.5)/9 = 8/3

The mean of the sample means from part (a) is 8/3

c) Mean of the populations = (1+2+5)/3 = 8/3

   The mean of the sample distribution from part b. is 8/3

Yes, The mean of the sample distribution is always equal to the mean of the Population

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Supergran runs from her chalet to the top of the mountain. She knows that if she runs at a speed of 6 mph she will arrive at 1 pm, whereas if she leaves at the same time and runs at 10 mph, she will arrive at 11 am. At what speed should she walk if she wants to arrive at 12 noon

Answers

Using proportions, it is found that she should walk at a speed of 8 mph to arrive at noon.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, considering the speeds of arrival at 11 am and at 1 pm, we have that for each 2 km slower, she arrives one hour later.

Walking at 10 mph she arrives at 11 am, hence she should walk at a speed of 8 mph to arrive at noon.

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The polynomial equation x^4 + x^3 + x^2 + x + 1 = 0 has zero positive real roots. Please select the best answer from the choices provided T F

Answers

There are zero positive real roots for the given polynomial equation [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]. This is explained by Descarte's rule of signs. So, the best choice is T (true).

What is Descarte's rule of signs?Descarte's rule of signs tells about the number of positive real roots and negative real roots.The number of changes in signs of the coefficients of the terms of the given polynomial f(x) gives the positive real zeros of the polynomial.The number of changes in signs of the coefficients of the terms of the given polynomial when f(-x) gives the negative real zeros of the polynomial.

Calculation:

The given polynomial equation is [tex]x^4 + x^3 + x^2 + x + 1 = 0[/tex]

On applying Descarte's rule of signs,

[tex]f(x)=x^4 + x^3 + x^2 + x + 1[/tex]

Since there are no changes in the signs of the coefficients of any of the terms in the above polynomial, the polynomial has no positive real roots.

[tex]f(-x)=(-x)^4+(-x)^3+(-x)^2+(-x)+1\\ = x^4-x^3+x^2-x+1[/tex]

Since there are four changes in the signs of the coefficients of the terms of the given polynomial when f(-x), the polynomial has 4 negative real roots.

Therefore, the given polynomial equation has zero positive real roots. So, the correct choice is T(true).

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If a circle has a radius of 4 meters, what is its circumference?

Answers

Answer:  12.56

Step-by-step explanation:

4 x 3.14

pi = 3.14

What is the common ratio of the geometric sequence below?
10, 15, 22.5, 33.75, ...

A. 2/3
B. 1.5
C. 5
D. 7

Answers

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

= 1.5

Hence the common ratio of the sequence is 1.5

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Answer:

B

Step-by-step explanation:

The common ratio of the geometric sequence is 1.5

Common ratio can be described as difference between two numbers in a sequence.

The first term of the sequence is 10 and the second term is 15, the common ratio can be calculated by dividing the first term by the second term

= 15/10

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1.5

help me pls

if you write a wrong answer you will be reported by the app.

Answers

The complete proof of the theorem is

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

Proof of Angle theorems

From the question, we are to complete the given proof

The proof is completed as shown below

Statements                                     Reasons

1. p||q                                               1. Given

2. ∠1≅∠3                                         2. Alternate interior angles theorem

3. ∠1≅∠3                                        3. Definition of congruent angles

4. ∠3 + ∠2 ≅ 180°                          4. Definition of linear pair

5. m∠3 + m∠2 = 180°                      5. Linear pair theorem

6. m∠1 + m∠2 = 180°                     6. Substitution prop. of equality

7. ∠1 and ∠2 are supplementary  7. Consecutive interior angles theorem

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Shota invests $2000 in a certificate of deposit that earns 2, percent interest each year write a function that gives the total value v(t) in dollars, of the investment t years from now

Answers

V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year. This can be obtained by using the formula of compound interest formula.

What is the required function?

Equation of compound interest compounded yearly,

A = P(1 + R/100)^t

where,

A = amount

P = principal amount

R = rate

t = number of years

Given that P = $2000, R = 2%, number of years = t,

V(t) = 2000(1+2/100)^t

V(t) = 2000(1+0.02)^t

V(t) = 2000(1.02)^t

Hence V(t)=2000(1.02)^t function that gives the total value in dollars of the investment t years from now given that Shota invests $2000 in a certificate of deposit that earns 2 percent interest each year.

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math related pls help

Answers

Hello and Good Morning/Afternoon:

Let's take this problem step by step:

Let's consider what the problem wants:

⇒ the value of (f-g)(y)

Let's consider what the problem gives us:

⇒ the value of f(y) and g(y)

Let's consider the relationship between f(y), g(y) and (f-g)(y)

 ⇒ [tex](f-g)(y)=f(y)-g(y)[/tex]

Let's solve for (f - g)(y)

 [tex]\hookrightarrow(f-g)(y) = f(y)-g(y) = 5y^2-2y+1-(-3y^2-y-2)\\=5y^2-2y+1+3y^2+y+2=8y^2-y+3[/tex]

Answer: 8y²- y + 3

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The measures of the angles of a triangle
are shown in the figure below. Solve for x.
60°
(4x+3)°
(2x+9)⁰

Answers

Answer:

x = 18

Step-by-step explanation:

In order for a triangle to be a triangle, all angles must add up to 180.

This means that we can create an equation to solve for x, using the angles given.

180 = 60 + (4x+3) + (2x+9) --> remove brackets and combine like terms

180 = 60 + 6x + 12

180 = 72 + 6x

108 = 6x

18 = x

Find the equation of a line through (3, 1) and perpendicular to 10x + 3y = 5

Answers

Answer:

y = (3/10)x + 1/10

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. First, we need to rearrange the given equation to determine the slope of the original line.

10x + 3y = 5                                <----- Original equation

3y = -10x + 5                               <----- Subtract 10x from both sides

y = (-10/3)x + 5                            <----- Divide both sides by 3

Now, we can tell that the slope of the original line is m = -10/3. The perpendicular line should have an opposite-signed, reciprocal slope to that of the original. Therefore, the new slope is m = 3/10.

We can find the value of "b" by plugging the new slope and values from the Point (3, 1) into slope-intercept form.

m = 3/10

x = 3

y = 1

y = mx + b                                  <----- Slope-intercept form

1 = (3/10)(3) + b                           <----- Insert values

1 = 9/10 + b                                 <----- Multiply 3/10 and 3

10/10 = 9/10 + b                          <----- Create common denominators

1/10 = b                                      <----- Subtract 9/10 from both sides

Now that we know the values for "m" and "b", we can construct the equation of the perpendicular line.

y = (3/10)x + 1/10

a machine makes 36 widgets in 20 minutes. at that rate, how many widgets will the machine make in an 8-hour day?

Answers

The answer is 864 because it is

When you multiply a number by 25 you get another number that is 250 more than 1000. find the number

Answers

Answer:

50

Step-by-step explanation:

1000+250=1250

After that Just do it in reverse:

1250/25=50

find x and the measure of each side. Round to two decimal places, if necessary.

Answers

The values of the triangles are as follows:

x = 7 unitsGH = 21 unitsHI = 21 unitsGI = 12 units

How to find angles and side of a triangle?

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

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A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?​

Answers

A certain journey by train takes 5 hours at the speed of 45 km/h. What will be the speed of the train to complete the same journey in 3 hours?

Answer:

Journey taken time 5 hour at speed of 45km/hr

So,

 1 hour=45/5=9km/hr

Therefore,3 hour=(9x3)km/hr.


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Chantelle has 56 stickers. she will give all of the stickers to 8 friends. each friend will receive the same number of stickers. which equation will help chantelle decide how many stickers, n, to give to each friend?

Answers

Chantelle can use the following equation,

n = (Number of stickers) / (Number of friends)

or n = 56/8

Given Information

Chantelle has 56 stickers

⇒ Number of stickers = 56

She will distribute all of the stickers to 8 friends

⇒ Number of friends = 8

The number of stickers each friend will get = n

We have to form an equation for n.

Forming the Equation

Equation for  the number of stickers to be given to each friend is as follows,

n = (Number of stickers) / (Number of friends)

n = 56/8

n = 7

Therefore, Chantelle needs to give 7 stickers to each of her 8 friends. And, the equation used to find this count, n is n = (Number of stickers) / (Number of friends) or n =56/8

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3 important events in girl who drank the moon chapters 1-4 27 5/3 in simplest radical form Which of the followings DOES NOT describe the patterns of rococo artworkA- jaggedB- DelicateC- curvyD-Complex What is cell by value? Why was Homer an important figure in ancient Greece? Why did Gregor Mendel choose to use purebred plants in his experiments?a) They reproduce sexually.b) They exhibit only one form of a trait.c) They have a variety of traits.d) They reproduce asexually. What is an r-selected species? What happened to Snowball's plans for the windmill? Rewrite the ratio 15:42 as an equivalent ratio of the form 1:n. Need Help ASAPWhat are some examples of inequality in the U.S. now and in the past? What are the causes of inequality for a particular group of people? Which of the following relationships is CORRECT?If Depreciation is less than Gross Investment, Net Investment is negative.If Depreciation is greater than Gross Investment, Net Investment is positive.If Depreciation is zero, Net Investment is less than Gross Investment.If Depreciation is zero, Net Investment is greater than Gross Investment.If Depreciation is greater than Gross Investment, Net Investmentisnegative. Select ALL the correct answers.Which two Supreme Court decisions limited rights for members of nonwhite races in the United States? University of California v. Bakke Korematsu v. United States Adarand v. Pea Mendez v. Westminster Hernndez v. Texas ANSWER ASAP PLEASEthat anyone trying to escape should not leave the room that way. At the same time, she disobeyed Bill's express instructions and screamed loudly and repeatedly for help.She heard doors opening upstairs, and a sudden gleam of light from the hall and the big staircase. If only Bill could hold his man until help came.But at that minute there was a final terrific upheaval. They must have crashed into one of the figures in armour, for it fell to the ground with a deafening noise. Virginia saw dimly afigure springing for the window, and at the same time heard Bill disengaging himself from fragments of armour.For the first time, she left her post, and rushed wildly for the figure at the window. But the window was already unlatched. The intruder had no need to stop and fumble for it. Hesprang out and raced away down the terrace and round the comer of the house. Virginia raced after him. She was young and athletic, and she turned the corner of the terrace notmany seconds after her quarry.But there she ran headlong into the arms of a man who was emerging from a small side door. It was Mr. Hiram P. Fish.Which word best represents the mood of the passage?A-AnxiousB-InspiredC-FuriousWhich line(s) from the passage best reflects the mood you selected?D-Bill did not hesitate.E-Their glimpse had been only a momentary one.F-Virginia felt paralyzed. She hardly knew what to do.In the blank provided, type the letters (separated by a comma with no spaces) that correspond with the correct answers.Answer for Blank 1: - 1 2/7x-1=26Show work Using the constant of proportionality, write an equation for this proportional relationship:You can buy 14 apples for 28 euros.Use a to represent number of apples and c to represent the cost in euros. Please write your equation starting with c= Draw the lewis structure and identify the three molecular geometrys for CH3SO2H, C(CH2)2 and CH3NCO What type of dilation is formed when the scale factor K is greater than 1 blank options? Which 2 revolutionaries helped free the south american countries from spain? when the exchange rate between two currencies freely floats, the governments will deflate their currency to increase exports balance of payments will always favor current accounts exchange rate equalizes the quantity demanded and quantity supplied of each currency demand curves for the currencies will slope upward sum of the current account and the capital and financial account will be one why are the spontaneous processes shown sometimes said to be "downhill" in free energy?