Can someone help me with the questions in the picture?

Can Someone Help Me With The Questions In The Picture?

Answers

Answer 1
6.) -4/3x+4=y
7.) y=2
8.) Undefined

Related Questions

The question is down below please help

The question is down below please help

Answers

Answer:

last one

Step-by-step explanation:

Answer:

4 (6-k)

the bottom one

Step-by-step explanation:

the length of a rectangle is 4 times as long as its width. if its area is 100 square feet, what is the length of the rectangle?

Answers

Answer:

length = 20 feet

Step-by-step explanation:

the area (A) of a rectangle is calculated as

A = length × width

let width be w , then length is 4w

given A = 100 , then

4w × w = 100

4w² = 100 ( divide both sides by 4 )

w² = 25 ( take square root of both sides )

\(\sqrt{w^2}\) = \(\sqrt{25}\)

w = 5

width = 5 feet and length = 4 × 5 = 20 feet

The perimeter of the triangular park shown on the right is 12x - 6. . What is the missing​ length?​

The perimeter of the triangular park shown on the right is 12x - 6. . What is the missing length?

Answers

Answer:

8x - 4

Step-by-step explanation:

Perimeter is the sun of all side lengths. We know the perimeter and two side lengths, so on order to find the third, we need to subtract the first two lengths from the sum. After subtraction, we get 8x - 4.

Solve 6(1 − 3d) < 2(7d + 6) for d.

Answers

Answer:

e

Step-by-step explanation:

a

what is 3 1/6 divided by 1 3/8

Answers

The result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.

Define the method of division?A division method is the process used to divide something. According to the degree of difficulty, there are three different sorts of division procedures. These include the bus stop method, extended division method, and the chunking approach, often known as division by repeated subtraction.

For the stated question;

The dividend is  3 1/6, which is given in mixed fraction.

In proper fraction; 3 1/6 = 19/6.

The divisor is  1 3/8 = 11/8.

Thus,

= 19/6 / 11/8

= 19*8 / 6*11

= 76/33

Thus, the result of the division of dividend 3 1/6 by divisor 1 3/8 is computed as 76/33.

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In a right triangle, if a = 8 ft and b = 15 ft, what is c?

Answers

Answer:

c = 17 ft

Step-by-step explanation:

c=a2+b2=82+152=17ft

Answer:

17

Step-by-step explanation:

a2+b2=c2

8^2+15^2=c2

64 + 225 = 289

√289 = 17

hope it helps :-)

Joe's Hot Dog Stand is only open for lunch. Of today's sales, 26% came from selling plain hot dogs. Since the hot dog stand made $45.50 from selling plain hot dogs, it made $_____

Answers

i think $17.50 but i’m sorry if it’s wrong

find the lateral area and surface area of a triangular prism with a height of 6 inches and a right triangular base with legs of 9 inches and 12 inches. round to the nearest tenth, if necessary.

Answers

Answer:

Lateral surface area is 216 in²Total surface area is 324 in²

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

Find the hypotenuse c of the base using Pythagorean theorem:

\(c=\sqrt{a^2+b^2}\)\(c=\sqrt{9^2+12^2} =\sqrt{81+144}=\sqrt{225} =15\)

Lateral surface area, three rectangular faces, is:

LSA = Ph = (9 + 12 + 15)*6 = 36*6 = 216

Find base area, the area of two right triangles:

A = 2*(1/2)(9)(12) = 108

Find total surface area:

TSA = LSA + Base areasTSA = 216 + 108TSA = 324

How many 1/2's are in 3 1/2? *

Answers

Answer:

Step-by-step explanation:

7

Answer:

7

Step-by-step explanation:

3.5 divided by .5

What will the image Q’ be after reflection on the y-axis, if Q(2, 5)

Answers

Answer:

Q'(-2 , 5)

Step-by-step explanation:

Note that:

1) When you are reflecting over the x-axis, you are changing the sign for the y.

2) When you are reflecting over the y-axis, you are changing the sign for the x.

In this case, you are reflecting over the y-axis. Change the sign of the x:

Q(2 , 5) ⇒ Q'(-2 , 5)

Q'(-2 , 5) is your answer.

~

(04.04 LC)

The functions f(x) = −2x + 30 and g(x) = 3x + 10 are shown in the graph.

graph of f of x equals negative 2 times x plus 30 and g of x equals 3 times x plus 10

Determine the approximate ordered pair for f(x) = g(x).

a
(4, 22)

b
(22, 4)

c
(4, 18)

d
(18, 4)

(04.04 LC)The functions f(x) = 2x + 30 and g(x) = 3x + 10 are shown in the graph.graph of f of x equals

Answers

The approximate ordered pair for f(x) = g(x) is given as; (4, 22) from the graph. Option A

At what points are the solutions equal?

We know that there are two equations that can be shown from the set of equations that have been written here and the set of equations that we have are;

f(x) = −2x + 30

g(x) = 3x + 10

We are now trying to see the points at which the equation can be said to be equal. This refers to the point where  f(x) = g(x). How can we be able to obtain this point? If we are to get this point then we must go back and look at the graph very well.

As we are looking at the graph very well we should fix our eyes on any point where the line of two functions can be seen to intersect. Once that happens, we can say that we have reached the point where the two functions can be said to be equal. This point is read from the graph as (4, 22)

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Bill has 289 baseball cards. David has 362 baseball cards. They combine their card collection and then sell 117 of the cards.How many cards do they have left?

Answers

Answer:

They have 534 cards left

Step-by-step explanation:

you add 289 to 362then you subtract 117 from 651

What are 4 sides shapes called?

Answers

The closed shapes with four sides are called quadrilaterals.

Quadrilateral is the closed which has four sides.All the four sides are connected to each other known as vertex.Two adjacent side with vertex forms a interior angle of the quadrilateral.If the opposite sides are parallel to each other then it is known as parallelogram.There are three main types of parallelogram.Rectangle, Square, Rhombus.Rectangle with opposite pair of sides parallel and congruent to each other.Square and Rhombus all four sides are congruent.If only one pair of opposite side parallel to each other then it is known as trapezium.Kite is also formed by four sides.

Therefore, the four sides closed shape is known as quadrilateral.

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What is 15+3x5² ????

Answers

5^2=25
3x25=75
15+75=90

the answer is 90

Answer: 90

Step-by-step explanation:

Bracket

Indices

Division

Multiplication

Addition

Subtraction

I: \(5^{2}\) = 5 x 5 = 25

M: 3 x 25 = 75

A: 15 + 75 = 90

Suppose the parallelogram JKLM has vertices:

J (2, 1)

K (7, 1)

L (6, −3)

M (1, −3)


Write each transformation in function notation and find the new coordinates of each point.

1. J' if the parallelogram is rotated counterclockwise 270° about the origin?

2. K' if the parallelogram is rotated counterclockwise 180° about the origin?

3. L' if the parallelogram is rotated counterclockwise 90° about the origin?

4. M' if the parallelogram is rotated counterclockwise 90° about the origin?


I NEED HELP

Answers

Answer:

1. For a rotation of 270° counterclockwise about the origin the coordinates of J' is (1, -2)

2. For a rotation of 180° counterclockwise about the origin the coordinates of K' is (-7, -1)

3. For a rotation of 90° counterclockwise about the origin the coordinates of L' is (3, 6)

4. For a rotation of 90° counterclockwise about the origin the coordinates of M' is (3, 1)

Step-by-step explanation:

The coordinates of the vertices of the parallelogram are given as follows;

J(2, 1), K(7, 1), L(6, -3), M(1, -3)

1. We have, for a rotation of 270° counterclockwise about the origin we have

f(x, y) = (y, -x)

Therefore, we have for the vertices;

f(J(2, 1)) = J'(1, -2)

Therefore, we have the coordinates of J' as (1, -2);

2. We have, for a rotation of 180° counterclockwise about the origin we have

f(x, y) = (-x, -y)

Therefore, we have for the vertex point K;

f(K(7, 1)) = K'(-7, -1)

3. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point L;

f(L(6, -3)) = L'(3, 6)

4. We have, for a rotation of 90° counterclockwise about the origin we have

f(x, y) = (-y, x)

Therefore, we have for the vertex point M;

f(M(1, -3)) = M'(3, 1)

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Determine a series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E'?

Answers

We cannot determine the specific series of transformations that would map polygon ABCDE onto polygon A'B'C'D'E' without knowing the specific coordinates or measurements of the vertices of the two polygons. However, in general, we can use a combination of translations, rotations, reflections, and dilations to map one polygon onto another. Here are some steps to follow:

1. Translate polygon ABCDE to align one of its vertices with the corresponding vertex of polygon A'B'C'D'E'.
2. Rotate the translated polygon about the shared vertex until another pair of corresponding vertices align.
3. Determine if any reflection is required to align the remaining vertices.
4. If necessary, dilate or shrink the polygon to match the size of the target polygon.

The specific combination of transformations will depend on the initial orientation and size of the polygons.

This graph shows a proportional relationship.

What is the constant of proportionality?

Enter your answer in the box.

A coordinate plane showing the first quadrant only with the title Amount Earned vs. Time Worked. The x axis is labeled Time in hours. It extends from 0 to 15 in increments of 1 hour. The y axis is labeled Earnings in dollars. It extends from 0 to 90 in increments of 5 dollars. A line passes through the origin and the following points. Begin ordered pair 3 comma 36 end ordered pair. Begin ordered pair 5 comma 60 end ordered pair. Begin ordered pair 6 comma 72 end ordered pair. Begin ordered pair 7 comma 84 end ordered pair.

Answers

Answer:

k = 12

Step-by-step explanation:

One pair of coordinates is sufficient to work out the constant of proportionality.

Equation in general form:

y = kx

and

Point (3, 36)

Substitute x- and y- coordinates into equation and find the value of k:

36 = k*3k = 36/3k = 12

Can you answer this, please?

Can you answer this, please?

Answers

Answer:

-x² + 13x + 2

Step-by-step explanation:

you are on ambitious level, and you cannot answer that yourself ? that is trivial. truly. no hidden traps, just straight forward adding and simplifying. what is the problem, please ?

-7x² + 6x² = -x²

5x + 8x = 13x

-1 + 3 = 2

Answer:

3rd option

Step-by-step explanation:

Given

(- 7x² + 5x - 1) + (6x² + 8x + 3) ← remove parenthesis

= - 7x² + 5x - 1  + 6x² + 8x + 3 ← collect like terms

= - x² + 13x + 2

in Mrs. Washington's class, there are 2 students in band for every
3 students in chorus. In Mr. Utley's class there are 5 students in band for every 7 students in chorus. Complete the ratio tables. Which class has a greater ratio of students in band to students in chorus?

Answers

Answer:

Here are the completed ratio tables for both classes:

Mrs. Washington's class:

Band: 2

Chorus: 3

Total: 2 + 3 = 5

Band-to-Chorus ratio: 2 : 3

Mr. Utley's class:

Band: 5

Chorus: 7

Total: 5 + 7 = 12

Band-to-Chorus ratio: 5 : 7

Based on the ratios, it appears that Mr. Utley's class has a greater ratio of students in band to students in chorus. The ratio in Mr. Utley's class is 5 : 7, while the ratio in Mrs. Washington's class is 2 : 3.

Step-by-step explanation:

Step-by-step explanation:

radius are a special form of fractions. but they are fractions, and a such all rules of calculation and comparison apply.

mrs. Washington's class has a ratio of 2/3 (or 2:3 or 2÷3).

2/3 = 0.666666666...

mrs. utley's class has a ratio of 5/7.

5/7 = 0.714285714...

so, the class of mrs. Utley had a greater ratio.

to compare the ratios (like any fraction) within calculating their decimal value, we need to bring them to the same denominator :

.../3 and .../7

we need to bring both to .../21 :

2/3 × 7/7 = 14/21

5/7 × 3/3 = 15/21

so, we can clearly see that the ratio of mrs. Utley's class is greater, as 15 is greater than 14.

For a set of scores, it was found that the mean score was 79 and the standard deviation was 17. If the distribution of scores is approximately normal, find the percentage of scores between: 45 and 113
(please show your work cause im hecka confused)

Answers

Answer:

95%

Step-by-step explanation:

In this question, it's important to note that the question states the distribution is a normal distribution, therefore we can use the Empirical Rule (68-95-99.7 rule).

The Empirical Rule, also known as the 68-95-99.7 rule, states that:

68% of data falls between ±1 standard deviation from the mean95% of data falls between ±2 standard deviations from the mean99.7% of data falls between ±3 standard deviations from the mean

*Note that the Empirical Rule only works for normal distributions

We know that the mean, \(\mu\), is given as 79 and the standard deviation, \(\sigma\), is given as 17. Since the standard deviation is 17, 2 standard deviations must be \(2\sigma=2\cdot 17=34\) (and 3 standard deviations would just be 51).

We want to find the percentage of scores (% of data) that falls between the scores 45 and 113.

Notice that 45 is 34 less than the mean of 79 and 113 is 34 more than the mean of 79, therefore, the range of scores between 45 and 113 varies between ±2 standard deviations from the mean.

From the Empirical Rule, we can see that 95% of data falls between ±2 standard deviations in a normal distributions.

Thus, 95% of scores fall between 45 and 113.

A double-column enlarged-ends manometer is used to measure a small pressure differ- ence between the two points of a system conveying air under pressure, the diameter of U-tube being 1/10 of the diameter of the enlarged ends. The heavy liquid used is water and the lighter liquid in both limbs is oil of relative density 0.82. Assuming the surfaces of the lighter liquid to remain in the enlarged ends, determine the difference in pressure in millimetres of water for a manometer displacement of 50 mm. What would be the manometer reading if carbon tetrachloride (of relative density 1.6) were used in place of water, the pressure conditions remaining the same?

Answers

Okay so basically the answer is 1.6 density

the number of people p that are contracting a new disease can be modeled by the population virus p of t equals 3725 divided by quantity 1 plus 1 and 72 hundredths times e to the negative 52 hundredths times t power end quantity comma where t is measured in days. at approximately what rate is the disease spreading on day 4?

Answers

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0. Find all such values c and enter them as a comma-separated list. Values of c =: (1 point) Consider the function graphed below. P n ? Does this function satisfy the hypotheses of the Mean Value Theorem on the interval a, b ? Does it satisfy the conclusion?? f(b) f(a)2 At what point c is f'(c) b - a

Answers

Verifying that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c = 2  such that f'(c) = 0.

Given:

Consider the function f(x) = x2 - 4x + 8 on the interval 0, 4. Verify that this function satisfies the three hypotheses of Rolle's Theorem on the inverval f(x) is f(x) is and f(0) on [0, 4] on (0, 4) f(4) Then by Rolle's theorem, there exists at least one value c such that f'(c) = 0.

f(x)=x^2−4x+8, [0,4]

when, x = 0

f(x) = x^2 -4x +8

f(0) = y = 0 - 0 + 8 = 8

when, x=4

f(5) = y = 16 - 16+8 =

thus, we have 2 points (0, 8) ; (4, 8)

slope,m = {8-(8)} / {4-0} = 0

hence, we have to calculate all the points,x where 0<x<8 and slope=0

f '(x) = 2x - 4 = 0

or, f '(c) = 2c - 4 = 0

c = 4/2 =2 ( 0<x<4)

hence, the there is only one solution c=2 which satisfies Rolle's theorem.

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Find the solution to the inequality -0.3x-5<6.7.

Answers

Answer:

x > -39

Step-by-step explanation:

-0.3x < 6.7 + 5

-0.3x < 11.7

divide by -0.3

Answer is x > -39

Consider the function:
f(x)=x−9/5x+6
Step 2 of 2 :
Evaluate f″(3)f″(3), f″(0)f″(0), and f″(−2)f″(−2), if they exist. If they do not exist, select "Does Not Exist".

Answers

To evaluate the second derivative of the function f(x) = (x - 9)/(5x + 6) at the points x = 3, x = 0, and x = -2, we first need to find the first derivative and then  the second derivative.  And the second derivative f''(x) of the function f(x) = (x - 9)/(5x + 6) is constantly equal to 0

Step 1: Finding the first derivative:

To find the first derivative f'(x), we apply the quotient rule. Let's denote f(x) as u(x)/v(x), where u(x) = x - 9 and v(x) = 5x + 6. Then the quotient rule states:

f'(x) = (u'(x)v(x) - v'(x)u(x))/(v(x))^2

Applying the quotient rule, we get:

f'(x) = [(1)(5x + 6) - (5)(x - 9)]/[(5x + 6)^2]

      = (5x + 6 - 5x + 45)/[(5x + 6)^2]

      = 51/[(5x + 6)^2]

Step 2: Finding the second derivative:

To find the second derivative f''(x), we differentiate f'(x) with respect to x:

f''(x) = [d/dx(51)]/[(5x + 6)^2]

       = 0/[(5x + 6)^2]

       = 0

The second derivative f''(x) is a constant value of 0, which means it does not depend on the value of x. Therefore, the second derivative is constant and does not change with different values of x.

Now, let's evaluate f''(3), f''(0), and f''(-2):

f''(3) = 0

f''(0) = 0

f''(-2) = 0

In summary, the second derivative f''(x) of the function f(x) = (x - 9)/(5x + 6) is constantly equal to 0 for any value of x. Hence, f''(3), f''(0), and f''(-2) all evaluate to 0.

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Help me plzz I need help with this !!!!!

Help me plzz I need help with this !!!!!

Answers

Answer:

-60+30=(-30)

Step-by-step explanation: The whale was swimming 60 feet BELOW sea level. That's negative. Then it swims up 30 feet, that's positive. Add to get -30, since -60 is the greater number although not in value. you get -30, so move the dot up , and the whale is now 30 feet below the surface.

Please let me know if this helped.

Start a new sentence file and translate the following into FOL. Use the names and predicatespresented in Table 1.2 on page 30.1. Mar is a student, not a pet.2. Claire fed Folly at 2 pm and then ten minutes later gave her to Max.3. Folly belonged to either Max or Claire at 2:05 pm.4. Neither Mar nor Claire fed Folly at 2 pm or at 2:05 pm.5. 2:00 pm is between 1:55 pm and 2:05 pm.6. When Max gave Folly to Claire at 2 pm, Folly wasn't hungry, but she was an hourlater.

Answers

Claire fed Folly at 2 pm, gave Folly to Max at 2:10 pm. Folly belonged to either Max or Claire at 2:05 pm. Neither Mar nor Claire fed Folly at 2 pm or 2:05 pm. The event occurred between 1:55 pm and 2:05 pm. At 2 pm, Max took Folly from Claire. Folly wasn't hungry at 2 pm but was at 3 pm.

1. student(Mar) ∧ ¬pet(Mar)2. fed(Claire, Folly, 2pm) ∧ gave(Claire, Folly, Max, 2:10pm)3. (belongs(Folly, Max, 2:05pm) ∨ belongs(Folly, Claire, 2:05pm))4. ¬(fed(Mar, Folly, 2pm) ∨ fed(Claire, Folly, 2pm) ∨ fed(Mar, Folly, 2:05pm) ∨ fed(Claire, Folly, 2:05pm))5. between(2pm, 1:55pm, 2:05pm)6. ¬hungry(Folly, 2pm) ∧ hourLater(Folly, 2pm, 3pm)

1. Student(Mar) ∧ ¬Pet(Mar)2. Fed(Claire, Folly, 2pm) ∧ Gave(Claire, Folly, Max, 2:10pm)3. BelongsTo(Folly, Max, 2:05pm) ∨ BelongsTo(Folly, Claire, 2:05pm)4. ¬(Fed(Mar, Folly, 2pm) ∨ Fed(Claire, Folly, 2pm) ∨ Fed(Mar, Folly, 2:05pm) ∨ Fed(Claire, Folly, 2:05pm))

5. Between(2:00pm, 1:55pm, 2:05pm)6. Gave(Max, Folly, Claire, 2pm) ∧ ¬Hungry(Folly, 2pm) ∧ Hungry(Folly, 3pm)

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in geometry class there are 9 males and 11 females. what is the ratio of males to the total number of students

Answers

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

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-Chetan K

Is (–39, 42) a solution to the equation y = x + 81?

Answers

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Picture below has question/answer choices!!

Picture below has question/answer choices!!
Picture below has question/answer choices!!

Answers

The statements that is true about the similarity of the two triangles the option D

D. ΔMNO and ΔJKL are not similar triangles

What are similar triangles?

Similar triangles are triangles which have proportional corresponding sides

The parameters in the question are;

The length of segment MN = 20

Length of segment NO = 12

Length of segment OM = 25

Measure of angle ∠O = 56°

Length of segment LJ =- 15

Length of segment JK = 12

Length of segment KL = 9

Measure of angle ∠L = 56°

Two triangles are similar if the ratio of two sides on one triangle are proportional to two sides of another triangle, and the included  angle between the two sides are congruent

The included angle between sides ON and MO on triangle MNO is congruent to the included angle between segment LK and JL in triangle JKL

However, the ratio of the sides  LK to ON and JL to MO are;

9/12 ≠ 15/25

Therefore, the triangles are not similar

The correct option is option D

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Erica makes a banner using 4 sheets of paper. Each paper measures 9 inches by 10 inches. What is the total area of Ericas banner True/False:decreasing response effort makes a behavior more likely to occur. If u = 35 and o = 3, what would be the interval for the amount of data that appears within 95% of the mean? What are the two phenomenon that results in drastic weather change in the world? describe how knowledge of current interest rates would help you better plan when obtaining a mortgage? All species have a maximum tolerance limit before they are no longer suited to live in their environment. In three to five sentences, discuss the potential outcomes for a species when that maximum limit is reached. There are at least four possibilities, and one point will be assigned per potential outcome mentioned Polynomial Operations please help for each question explain the difference between theme and central idea? please answer in complete sentences and answer IN YOUR OWN WORDS Given that the value of x is between 0 and 360 degrees (0 and 360included), solve for x: cos(x) = -(square root 3)/2*cos(x) = - square root of 3/260 and 120-30 and 150150 only150 and 210 Finish the sentence Ill mark u 10ft+9.5ft+6ft in square units What is the volume when 524 cm3 of a gas at 491 K is cooled to 297 K?Let's consider 491 K as T. Whichvariable is V?A. Unknown B. 297 K C. 524 cm .58 moles of H20 is equal to how many molecules? identify an example of an informal norm. multiple choice question. the standards of proper dress the requirements for a college major the state criminal law the rules of a card game (01.01 MC) Look at the images and note which body part the arrow is pointing to. Then match the image with the correct form of the adjective. (4 points) a 1. closeup image of half of a mans face with a ruby colored eye c 2. two dogs with ruby colored tongues d 3. boy pointing at ruby colored nose b 4. closeup image of female ruby colored lips What fraction is shown on the number line? The information system department's employees are highly skilled individuals who possess a very internal locus of control. The firm is looking to hire a manager for the department to replace the retiring manager. What type of leadership style would likely be most effective with this group Emilio took a random sample of n=12 giant Pacific octopi and tracked them to calculate their mean lifespan. Their lifespans were roughly symmetric, with a mean of x= 4 years and a standard deviation of sx=0.5 years. He wants to use this data to construct a t interval for the mean lifespan of this type of octopus with 90% confidence.What critical value t* should Emilio use? 2x-y = -15 -2x + 5y =3 Which variable is ready to be eliminated. (1) I enjoy singing and my two best friends, Megan and Sara, do too. (2) We signed up for the school talent show and started topractice. (3) For two weeks we practiced every day after school. (4) By the middle of the second week our friends and family toldus that our routine was wonderful. (5) On the day of show, we wore matching outfits and sang our song beautifully. (6) We had awonderful time and want to do it again next year.Which of these is the BEST topic sentence for the composition?A)When I learned about our school's talent show, I could not wait toparticipate.B)I have always been interested in singing, dancing, and entertaining people.My school often has activities in which students can participate.D)Spending time with my two best friends is important to me.