Please help giving brainliest

Please Help Giving Brainliest

Answers

Answer 1

Answer:

  (d)  (-6, 0)

Step-by-step explanation:

Given graphed inequalities and a list of points, you want the point that is a "solution."

Assumptions

We assume the graphed inequalities are part of a system of two inequalities and that a "solution" is one that must satisfy both of them. Any solution point will be in the doubly-shaded area, or on the solid blue boundary next to that area.

Solution

Each of the given points is 6 units from the origin on one of the coordinate axes. The only such point that lies in the doubly-shaded area is (-6, 0) on the negative x-axis.

The point (-6, 0) is a solution.

__

Additional comment

We know the kinds of inequalities that can give rise to a graph like this, but we don't know the question for which one of these points would be a solution. That is why assumptions are necessary.

The point (0, 6), for example, could be a solution to the question, "what set of values satisfies x-y ≤ 1, but not x+y < 3?"


Related Questions

A cylinder has a base radius of 10inches and a height of 20inches . What is its volume in cubic
in, to the nearest tenths place?

Answers

Answer:

6280 cm³

Step-by-step explanation:

V=πr2h

=(3.14) (100) (20)cm³  

=6280 cm³

the eighth grade at byrnade Junior high school has 464 students. There are 212 more boys than girls. how many boys are there?

Answers

Answer: 338 boys

1) Formulate an equation

The total students at Byrnade Junior High School is 464. Let girls equal x. If girls equal x and there are 212 more boys than girls, then boys should equal 212 + x. (212 + x) and x equal 464. Therefore, our equation would be (212 + x) + x = 464.

2) Isolate the variable

Simplify the equation to 212 + 2x = 464. Subtrac 212 on both sides to get 2x = 252. Divide 2 on both sides to get x = 126.

3) Plug the variable

Because x = 126, we can plug 126 into (212 + x) + x = 464 to get (212 + 126) + 126 = 464. We need to primarily focus on (212 + 126), because the question is asking for how many boys are there. 212 + 126 = 338. So, your answer should be 338 boys.

(x² – 2x - 4) (x² – 3x-5)​

Answers

x^4-5x^3-3x^2+22x+20

what is force ?????????​

Answers

Answer:

\({\Huge{\underline{\underline{\textbf{\textsf{Answer}}}}}}\)

\(\huge\red\dashrightarrow\) In physics, a force is any interaction that, when unopposed, will change the motion of an object. A force can cause an object with mass to change its velocity, i.e., to accelerate. Force can also be described intuitively as a push or a pull. A force has both magnitude and direction, making it a vector quantity.

if f (x) =3(x+3)^2 - 10 then calcutlate f (2)
pls answer todayyy i need help

Answers

Answer:

x

=

8

13

3

,

8

+

13

3

I dont know why the answer is spacing out like this

Solve by using substitution. Express your answer as an ordered pair
3x + y = -5
x = y - 3

Answers

Answer:

vz

Step-by-step explanation:

3x+y=−5,x=y−3

Consider the second equation. Subtract y from both sides.

x−y=−3

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

3x+y=−5,x−y=−3

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

3x+y=−5

Subtract y from both sides of the equation.

3x=−y−5

Divide both sides by 3.

x=

3

1

(−y−5)

Multiply  

3

1

 times −y−5.

x=−

3

1

y−

3

5

Substitute  

3

−y−5

 for x in the other equation, x−y=−3.

3

1

y−

3

5

−y=−3

Add −

3

y

 to −y.

3

4

y−

3

5

=−3

Add  

3

5

 to both sides of the equation.

3

4

y=−

3

4

Divide both sides of the equation by −

3

4

, which is the same as multiplying both sides by the reciprocal of the fraction.

y=1

Substitute 1 for y in x=−

3

1

y−

3

5

. Because the resulting equation contains only one variable, you can solve for x directly.

x=

3

−1−5

Add −

3

5

 to −

3

1

 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x=−2

The system is now solved.

x=−2,y=1

the answer would be (-2,1)

Work out m and c for the line
y= x + 3
m=
c=

Answers

Answer:

1

3

Step-by-step explanation:

The equation of a graph is normally written in form Mx+c.

So, here there is x+3.

Thus, m = 1

C = 3

Hope this helps

how many pattern block rhombuses would create 3 hexagons

Answers

9 block rhombuses would create 3 hexagons.

In order to increase the total number by three, a hexagon can be divided into a minimum of three rhombuses, each of which can be further divided into four rhombuses. With n being a positive integer, the result is 3n. The top two hexagons in this image are each divided into 8 and 10 rhombuses. The total number of rhombuses that can fit in a hexagon is not limited to multiples of three, given that the total number of rhombuses dividing a hexagon can be raised by three by quartering a single component rhombus. The amount might actually be any integer larger than 7.

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how many pattern block rhombuses would create 3 hexagons

In circle O below, what is the value of f ?

In circle O below, what is the value of f ?

Answers

Answer:

I believe the answer is 15 .

Hope it helps ^^

Consider the 3D harmonic oscillator: V= 2
1

mω 2
(x 2
+y 2
+z 2
) with E=(n x

+n y

+nz+3/2)ℏ0 for ψ(x,y,z)=Ψ nx

(x)ψ ny

(y)Ψ nz

(z) w here ψ n

(x) is defined in Eg.2.86 H ′
=Ayx 2
z The above perturbation is applied, where A is a constant. (a) How is the ground state perturbed to first order? (b) Is the first excited state degenerate?If so, use degenerate perturbation theory to find perturbed energy levels to first order.

Answers

(a) The ground state is not perturbed to first order.

(b) The first excited state is not degenerate, and degenerate perturbation theory is not required.

To analyze the perturbation of the ground state and the first excited state of the 3D harmonic oscillator, we'll follow the steps of perturbation theory. Let's address each part of the problem:

(a) Perturbation of the Ground State:

The ground state of the unperturbed system is given by n_x = n_y = n_z = 0. Let's denote this state as |0,0,0⟩.

To determine the first-order perturbation correction to the ground state energy, we need to calculate the matrix element of the perturbation operator H' between the ground state and the excited states. The perturbation operator is given by H' = Ayx^2z.

The first-order correction to the energy of the ground state is given by:

ΔE(0) = ⟨0,0,0|H'|0,0,0⟩

Since the ground state is the eigenstate of H' with zero energy, the first-order correction is zero:

ΔE(0) = 0

Therefore, the ground state is not perturbed to first order.

(b) Degeneracy of the First Excited State and Perturbed Energy Levels:

The first excited state of the unperturbed system has n_x = n_y = n_z = 1. Denote this state as |1,1,1⟩.

To determine if this state is degenerate, we need to check if there are other states with the same energy. In this case, we need to find the states that have the same energy as |1,1,1⟩ in the absence of perturbation.

The energy of the first excited state is given by:

E(1) = n_x + n_y + n_z + 3/2

Substituting n_x = n_y = n_z = 1, we have:

E(1) = 1 + 1 + 1 + 3/2 = 5/2 + 3/2 = 4

To determine if there are other states with the same energy, we need to examine the possible combinations of n_x, n_y, and n_z that satisfy the condition:

n_x + n_y + n_z + 3/2 = 4

We can see that there are no other combinations of n_x, n_y, and n_z that satisfy this condition. Therefore, the first excited state is not degenerate.

Since the first excited state is not degenerate, we do not need to use degenerate perturbation theory to find perturbed energy levels to first order.

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The following expressions are polynomial except


\(4 {x}^{3} - 5 {x}^{ - 2 } + 3 \)
\(5 {x}^{2} + 2x - 1\)
\(2 {x}^{5} - 2 {x}^{2} - 2\)
\(x + 9\)

Answers

Answer:

x+9

Step-by-step explanation:

its a binomial (2 terms

I need help asap!!!!!!!!!!!!!!!!!!!!

I need help asap!!!!!!!!!!!!!!!!!!!!

Answers

Answer: c

Step-by-step explanation:

Jenna saves $2,500 per year in an account that earns 10% interest per year, compounded annually. Jenna will have(A $411,234) (B $425,352) (C $449,739) saved in 30 years. Her account balance is a result of Jenna’s(A annuity payments)(B lump-sum payment) .

Answers

Answer:

The answer is $43623.50

Step-by-step explanation:

This problem is on compound interest.

the expression for compound interest is given as

A=P(1+r)^t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

Given data

P= $2,500

r= 10/100= 0.1

t= 30 years

substituting into the expression for compound interest and solving for A we have

A=2500(1+0.1)^30

A=2500(1.1)^30

A=2500*17.449

A=$43623.50

The final amount is $43623.50

Her account balance is a result of Jenna’s(A annuity payments)

Answer:

b then a

Step-by-step explanation:

neutron style

3' - '2' + 'm' / 'n' is ________.

Answers

The expression "3' - '2' + 'm' / 'n'" is invalid because it combines character literals and arithmetic operations. The expression "3' - '2' + 'm' / 'n'" is not valid in most programming languages.

It attempts to mix character literals ('3', '2', 'm', 'n') with arithmetic operations (-, +, /), which is not meaningful. In programming languages, characters are typically represented using character literals enclosed in single quotes.

While arithmetic operations are performed on numerical values. The expression should be revised to ensure that the operations are performed on numerical values rather than character literals.

For example, if 'n' and 'm' represent numerical values, the expression could be written as "3 - 2 + m / n" to perform arithmetic operations correctly.

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-5(-2)^3+8(-2)^2. Simplify your answer

Answers

Ans:-

\( \fbox{ \: \sf \purple 8 \: \: }\)

\( \: \)

Solution:-

\(↣ \: \textsf{-5 ( -2 )³ + 8 ( -2 )²}\)

\( \: \)

\( ↣ \: \textsf{-5 ( -8 ) + 8 ( -4 )}\)

\( \: \)

\( ↣ \: \textsf{40 + ( -32 ) }\)

\( \: \)

\( \textsf{[ + , - = - ]}\)

\( \: \)

\(↣ \: \textsf{40 - 32 }\)

\( \: \)

\( \underline{ \underline{↣ \textsf \orange{ \: \: 8 \: \: \: }}}\)

\( \: \)

━━━━━━━━━━━━━━━━━━━━━━━━━━━

hope it helps!:)

7 2 + 1 . 5 = 6 8 + 2

Answers

Answer:

I don't get it are you telling us a answer or is it a question?


What is the slope of a line with the equation y = -x + 6?

Answers

ANSWER

slope= -1/1 or -1

True or false? Based only on the given information, it is guaranteed that
AC = BC.
А
B
Given: A ABC
AB I CD
ZACD = BCD

True or false? Based only on the given information, it is guaranteed thatAC = BC.BGiven: A ABCAB I CDZACD

Answers

Answer:

Step-by-step explanation:

True

Option B is correct that is false.

We have been given a figure we need to tell that the two lines are perpendicular

Lines are perpendicular if they meet at the right angle.

Line CD is perpendicular AB to vice-versa is not true.

Hence, Option B is correct

What is perpendicular with examples?

Lines that intersect each other forming a right angle are called perpendicular lines. Example: the steps of a straight ladder; the opposite sides of a rectangle. The symbol is used to denote two perpendicular lines: ⊥ ⊥ .

The perpendicular symbol is ⊥. It is used between the two lines to show that they are perpendicular to each other. Perpendicular lines intersect at right angles (90°) while parallel lines are parallel to each other and never intersect.

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Find the sum of the series 9 +3+1+...+1/27​

Answers

Answer:

\(\dfrac{364}{27}\)

Step-by-step explanation:

A geometric sequence has a constant ratio (multiplier) between each term, so each term is multiplied by the same number, whereas an arithmetic sequence has a constant difference between each term, so the difference between each term is the same.

Given series:

9 + 3 + 1 + ... + 1/27​

As each term of the given sequence is a third of the previous term, the given series is a geometric series. This means the common ratio (r) is 1/3.

From inspection of the given series, the first term (a) is 9.

To find the value of n for the nth term 1/27, simply divide each term by 3:

\(a_1=9\)

\(a_2=\dfrac{a_1}{3}=\dfrac{9}{3}=3\)

\(a_3=\dfrac{a_2}{3}=\dfrac{3}{3}=1\)

\(a_4=\dfrac{a_3}{3}=\dfrac{1}{3}\)

\(a_5=\dfrac{a_4}{3}=\dfrac{\frac{1}{3}}{3}=\dfrac{1}{9}\)

\(a_6=\dfrac{a_5}{3}=\dfrac{\frac{1}{9}}{3}=\dfrac{1}{27}\)

Therefore, as the 6th term in the sequence is 1/27, we need to find the sum of the series of the first 6 terms. To do this, use the geometric series formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Sum of the first $n$ terms of a geometric series}\\\\$S_n=\dfrac{a(1-r^n)}{1-r}$\\\\where:\\\phantom{ww}$\bullet$ $a$ is the first term. \\ \phantom{ww}$\bullet$ $r$ is the common ratio.\\\end{minipage}}\)

The given values are:

a = 9r = 1/3n = 6

Substitute these values into the formula to find the sum of the first 6 terms:

\(\implies S_n=\dfrac{a(1-r^n)}{1-r}\)

\(\implies S_6=\dfrac{9\left(1-\frac{1}{3}^6\right)}{1-\frac{1}{3}}\)

\(\implies S_6=\dfrac{9\left(1-\frac{1}{729}\right)}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{9\left(\frac{728}{729}\right)}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{\frac{728}{81}}{\frac{2}{3}}\)

\(\implies S_6=\dfrac{728}{81} \cdot \dfrac{3}{2}\)

\(\implies S_6=\dfrac{2184}{162}\)

\(\implies S_6=\dfrac{364}{27}\)

\(\hrulefill\)

Alternative method

As there are only 6 terms to sum, an alternative method would be to simply add the 6 terms:

\(\implies S_6=9+3+1+\dfrac{1}{3}+\dfrac{1}{9}+\dfrac{1}{27}\)

Rewrite all the numbers so that they are fractions with the same denominator of 27:

\(\implies S_6=\dfrac{243}{27}+\dfrac{81}{27}+\dfrac{27}{27}+\dfrac{9}{27}+\dfrac{3}{27}+\dfrac{1}{27}\)

As the denominators are the same, simply add the numerators:

\(\implies S_6=\dfrac{243+81+27+9+3+1}{27}=\dfrac{364}{27}\)

due last weeeekk help!!!!

due last weeeekk help!!!!

Answers

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

What is a dilation?

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

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Solve for z.

3 + 2z = 7

z =











Solve for z.

3 + 2z = 7

z =

Answers

Answer: z=2

Step-by-step explanation:

2 x 2 = 4 + 3 = 7

Answer: Okay, the answer is z=2.

Step-by-step explanation: Step 1: Simplify the both sides of the equation: 2z+3=7.

Step. 2: Subtract 3 from the both sides: 2z+3−3=7–3.

Last but not least is step 3. Divide the both sides by 2: 2z/2=4/2. So you get z=2. I hoped my step-by-step explanation formula substitution is very helpful, please mark me as Brainliest, and have a happy holidays!!!!!!! :D

Someone mind helping? It’s pretty late rn and I need to hurry this up..

Someone mind helping? Its pretty late rn and I need to hurry this up..

Answers

Answer:

Y=1/2x (-1,-2)

Step-by-step explanation:

The slope is 1/2 and there is no y intercept so it’s simply y= 1/2x

Answer:

y = 2x

(4,8)

Step-by-step explanation:

The linear function

y = 2x

For an another pair not named on the graph,

Just input a value for x!

Which means,

y = 2(4)

y = 8

(4,8) satisfied the function.

Hope this helps!!

Please give me brainliest if it is the correct answer :)

Given parallelogram abcd, diagonals ac and bd intersect at point e. ae=2x, be=y 10, ce=x 2 and de=4y−8. find x.

Answers

the diagonals of a parallelogram bisect each other

2x=x+2

x=2

Hence the value of x is 2.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.

A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of ​​a parallelogram is equal to the area of ​​a rectangle with the same base and height.

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PLEASE HELP MEEE! Simplify 6! − 3!

6!(1 − 2!)
3!((6x5x4) − 1)
3!(2! − 1)
6!(1 − 0.5!)

Answers

The simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

What is the simplified form of a term?

Simplified form of a term is the simplest way of expression the term, which is obtained  by applying the required operations of mathematics.

Factorial is the way to write the product of the numbers from its phase value to 1 in decreasing order. Suppose, the number is 3!. Then it can be written as,

3!=3×2×1

The expression which has to be simplified is,

6! - 3!

It can be written as,

6! - 3!

(6×5×4×3!)-3!

3!((6×5×4)-1)

Thus, the simplified form of the expression 6! − 3! when it is simplify using the properties of factorial is 3!((6x5x4) − 1).

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\(\huge\text{Hey there!}\)


\(\mathsf{6! - 3!}\\\mathsf{\approx 6(5)(4)(3)(2)(1) - 3(2)(1)}\\\mathsf{\approx 30(4)(3)(2)(1)- 6(1)}\\\mathsf{\approx 120(3)(2)(1) - 6}\\\mathsf{\approx 360(2)(1) - 6}\\\mathsf{\approx 720(1) - 6}\\\mathsf{\approx 720 - 6}\\\mathsf{\approx 714}\\\mathsf{\approx 3!((6\times5\times4) - 1)}\)


\(\huge\text{Answer: \boxed{\mathsf{3!((6\times5\times4) - 1)}}}\huge\checkmark\)


\(\huge\text{Good luck on your assignment \& enjoy your day!}\)


~\(\frak{Amphitrite1040:)}\)

Candice is cleaning the office building's 200-gallon aquarium. For
cleaning, she must remove the fish from the aquarium and drain the
water. The water drains at a constant rate of 10 gallons per minute.

• independent quantity:
?

• dependent quantity:
?

I need the independent quantity + dependent quantity. Using the image I need the exact graph that fits this problem.

Candice is cleaning the office building's 200-gallon aquarium. Forcleaning, she must remove the fish

Answers

Using function concepts, we have that:

The independent quantity is the time.The dependent quantity is the volume.Graph H fits this problem.

What is the relation between a function and the dependent and independent variables?

A function has the following format: y = f(x).

In which each value of y is a function of one value of x, and thus, x is the independent variable and y is the dependent variable.

That is, the input of the function is the independent variable and the output is the dependent variable.

For this problem, the volume is a function of time, hence Volume = f(Time) and:

The independent quantity is the time.The dependent quantity is the volume.

The decay rate is constant, meaning that we have a decreasing linear function, and graph H fits this problem.

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-27 = -6-3p I need help

Answers

Answer:

p=7

Step-by-step explanation:

use inverse operation

add 6 to both sides

you get

-3p=-21

divide -3 from both sides

p=7

Answer:

p=7

Step-by-step explanation:

how much time should be allowed for a 605 mile card ship if the car will be traveling at an average speed of 55 mph

Answers

11 hours, 5 minutes is the ansewer

The area of a rectangle is 126m2. If the width is changed by a factor of 1/2 and the length is increased to three times
its original length, calculate the new area.
126 m 2

1. 126 m2
2. 63 m2
3. 378 m2
4. 189 m2

Answers

Answer: 4. 189 m2

Step-by-step explanation:

126m2 divided by 2

= 63

63 times 3

= 189

189m2

Help me please raise my grade

Help me please raise my grade

Answers

Answer:

20% = 20 out of 10080% = 80 out of 10080th percentile = 80% of all the values in the data set are less than or equal to this quantity.20th percentile = 20% of all the values in the data set are less than or equal to this quantity.

a factory manufacturing tennis balls determines that the probability that a single can of three balls will contain at least one defective ball is 0.025. what is the probability that a case of 48 cans will contain at least two cans with a defective ball?

Answers

There is about a 33.7% probability that a case of 48 cans will contain at least two cans with a defective ball.

To solve this problem, we can use the binomial distribution. Let's define "success" as getting a can with no defective ball and "failure" as getting a can with at least one defective ball.

The probability of success in one can is:

P(success) = 1 - P(failure) = 1 - 0.025 = 0.975

The probability of failure in one can is:

P(failure) = 0.025

Now, let's define X as the number of cans in a case of 48 that have at least one defective ball. We want to find the probability that X is greater than or equal to 2.

We can use the binomial distribution formula to calculate this probability:

P(X ≥ 2) = 1 - P(X < 2) = 1 - P(X = 0) - P(X = 1)

P(X = 0) = (0.975)^48 ≈ 0.223

P(X = 1) = 48C1 (0.975)^47 (0.025)^1 ≈ 0.44

where 48C1 is the number of ways to choose one can out of 48.

Therefore, the probability that a case of 48 cans will contain at least two cans with a defective ball is:

P(X ≥ 2) ≈ 1 - 0.223 - 0.44 ≈ 0.337

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What is the width of the model car if the actual car is 80inches? A circle centered at $P$ with radius $10$ and a circle centered at $Q$ with radius $8$ are externally tangent. A common external tangent intersects line $PQ$ at $R.$ Find $QR.$ please help me with 20 id be so blessed if u do! Professor Collins approaches questions about human behavior from a perspective which emphasizes how people reason, remember, process information, create beliefs. She studies how individuals demonstrate attention and concentration, understand language and solve problems.A. Behavioral / Learning B. Cognitive C. Sociocultural D. Biological E. Psychodynamic F. Humanistic Becky is collecting money for an fundraiser she wants to collect more than $1,910.00 and has already $281.00. Becky averages $24.00 from each person who donates to the fundraiser. Which of the followers my inequalities could be used to be solve for x the number for additional people Becky needs to collect from to meet her fundraising goal? Read this paragraph to find the main idea.Million of acres of forest are burned each year by careless campers. When you are camping in the forest, clear a place for a fire, surround it with rocks, and always put your fire out. Flood it with water or dirt. Poke the fire to be sure it is out before you leave.Do not make fires in the forest.Do not go camping when the forest is dry.Be careful with fire in the forest. What are the slope, m, and y-intercept, b, of a line that passes through the points(3,-1) and (7,-5)? Match each sentence with the timeframe in which it might occur. Drag the items on the left to the correct location the right rimos vinleron. A B rimos vienen. rimos van a venir. Hoy Ayer loviendo. E F lover. una tormenta. na tormenta. haber una tormenta. Maana mo Classify the triangle with side lengths of 24, 18 and 30 as acute, right, or obtuse. Acute Right Obtuse Not a Triangle Exercise 1 Write a personal pronoun that agrees with the indefinite pronoun antecedent in the sentence. Underline the antecedent.One of these girls assembled _____________ own computer. what is the slope Of a line that passes through the points (9,8) and (2,3)? I NEED HELP ASAP IT'S DUE IN 20MINQuestion 2The box plot represents the number of tickets sold for a school dance.A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.Which of the following is the appropriate measure of center for the data, and what is its value?The mean is the best measure of center, and it equals 19.The median is the best measure of center, and it equals 4.The median is the best measure of center, and it equals 19.The mean is the best measure of center, and it equals 4.Question 5A recent conference had 900 people in attendance. In one exhibit room of 80 people, there were 65 teachers and 15 principals. What prediction can you make about the number of principals in attendance at the conference?There were about 820 principals in attendance.There were about 731 principals in attendance.There were about 208 principals in attendance.There were about 169 principals in attendance.Question 6A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.Which graphical representation would be best for his data?Stem-and-leaf plotHistogramCircle graphBox plotQuestion 7A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.Sports Basketball Baseball Soccer TennisNumber of Students 17 12 27 44Which of the following graphs correctly displays the data?histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44Question 8A New York City hotel surveyed its visitors to determine which type of transportation they used to get around the city. The hotel created a table of the data it gathered.Type of Transportation Number of VisitorsWalk 120Bicycle 24Car Service 45Bus 30Subway 81Which of the following circle graphs correctly represents the data in the table?circle graph titled New York City visitor's transportation, with five sections labeled walk 80 percent, bus 16 percent, car service 30 percent, bicycle 20 percent, and subway 54 percentcircle graph titled New York City visitor's transportation, with five sections labeled walk 40 percent, bicycle 8 percent, car service 15 percent, bus 10 percent, and subway 27 percentcircle graph titled New York City visitor's transportation, with five sections labeled subway 40 percent, bus 8 percent, car service 15 percent, bicycle 10 percent, and walk 27 percentcircle graph titled New York City visitor's transportation, with five sections labeled subway 80 percent, bicycle 20 percent, car service 30 percent, bus 16 percent, and walk 54 percentQuestion 9A college cafeteria is looking for a new dessert to offer its 4,000 students. The table shows the preference of 225 students.Ice Cream Candy Cake Pie Cookies81 9 72 36 27Which statement is the best prediction about the scoops of ice cream the college will need?The college will have about 480 students who prefer ice cream.The college will have about 640 students who prefer ice cream.The college will have about 1,280 students who prefer ice cream.The college will have about 1,440 students who prefer ice cream. What does the phrase in bold mean in this sentence?While many book publishers continue to derive significant revenue through sales at Amazon.com, the company is no longer considered by publishers merely as another bookseller. To sell off their backlists To make a good deal of money To attract new writers and their books To object to Amazon's pricing of e-books