Graph the following linear function. f(x)= 5/2x+5

Answers

Answer 1

The graph of the linear function f(x) = 2/(x + 5) is attached.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the linear function as -

f(x) = 5/(2x + 5)

Refer to the graph of the linear function attached. This graph represents the function f(x).

Therefore, the graph of the linear function f(x) = 2/(x + 5) is attached.

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Graph The Following Linear Function. F(x)= 5/2x+5

Related Questions

What are the 3 steps to solving a two step equation?

Answers

Answer:

Use the following denomination (Ghana cedis 200,100,50 and 20)to find the quantities of notes

1.3584655000

2.85760000

3.146737000

4.5555627000

5.7777000

please help

Step-by-step explanation:

1. Eliminate any constant that is on the same side as the variable.

2. Use inverse operations to isolate the variable by itself.

3. Whatever you do to one side you do to the other.

Find the value of x in the figure

Answers

Answer:

x=40º

Step-by-step explanation:

A straight line is 180º

180-40=140º

180-140=40º

x=40º

Hope this helps :)

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months

Answers

The number of ants in 6 months will be 88 ants.

How to calculate the value?

The word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.

In this situation, in an ant farm with 22 ants and the population of ants in your farm will double every 3 months.

The number of ants in 6 months will be:

= 22 × (6/3)²

= 22 × 2²

= 88 ants

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Complete question

You have an ant farm with 22 ants . The population of ants in your farm will double every 3 months. What is the number of ants in 6 months.

For a hypothesis test of H0: p = 0. 65 against the alternative Ha: p < 0. 65, the z test statistic is found to be -2. 35. What can be said about his finding?

Answers

The finding is significant at both α = 0.05 and α = 0.01.

What is hypothesis ?

A hypothesis (plural: hypotheses), in a scientific context, is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

Have given ,

H0: p = 0. 65 ,  Ha: p < 0. 65 and  the z test statistic is found to be -2. 35.

From the test statistic value, we can obtain the p value of the test ,

To determine if the claim is significant at both α = 0.05 and α = 0.01

We compare the Z statistic and Z critical values

If Z statistic < Z critical ; then we reject H0; if otherwise, we fail to reject H0

Z critical at 95% one tailed = - 1.645 (left tail)

Z critical at 95% one tailed = -2.326 (left tail)

- 2.35 < - 1.645

-2. 35 < 2.326

Since, Z statistic < Z critical;

The finding is significant at both α = 0.05 and α = 0.01.

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7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?​

Answers

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

The difference in costs including tax between the two nights is $53

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

The cost x including a 6% tax is:

x + 6% =x + 0.06x = 1.06x

The difference in costs including tax is:

349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53

The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?

Answers

Answer:

If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.

Step-by-step explanation:

Select the correct answer from the drop-down menu. You are conducting a survey on the best beaches in the world. The group that would probably give you the most reliable data is .
A) tourists who wish to visit the beaches
B) officials who manage the beaches
C) tourists who have visited the beaches
D) friends and family

Answers

The group that would probably give you the most reliable data is tourists who have visited the beaches. Option C is the correct answer.

In order to gather information about a service, product, or process, a survey is described as an act of looking at a process or interviewing a predetermined sample of people. Surveying beachgoers who have previously been there will yield more accurate results regarding the greatest beaches because they can share their personal experiences.

Surveying those in charge of the beaches is not a smart idea since they would be prejudiced in saying that their beaches are the finest. As a result, the third choice is the best one.

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City Fitness, a popular gym, currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of
1
4
each year.
Write an exponential equation in the form y=a(b)x that can model the number of members, y, in x years.

Answers

The growth in x years for the gym will be represented as [tex]y = 840(1.25)^x[/tex].

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

City Fitness, a popular gym currently has 840 members. Based on its membership statistics since opening a few years ago, City Fitness expects to grow its membership by a factor of 1/4.

The expression can be written as,

[tex]y = 840(1.25)^x[/tex].

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what are the conditions for using the normal approximation for a sampling distribution of proportions g

Answers

The normal approximation for sampling distributions of proportions can be used when the sample size is large enough.

What prerequisites must be met for a sampling distribution of proportions g in order to use the normal approximation?The conditions for using the normal approximation for a sampling distribution of proportions are as follows: The sample size (n) must be sufficiently large (usually 30 or more). The sample proportion (p) should not be close to 0 or 1. The population distribution should be normally distributed.The general rule is that if the sample size (n) is greater than or equal to 30, then the normal approximation can be used. When using the normal approximation for a sampling distribution of proportions, the sample size must be greater than or equal to 30 and the population proportion (p) must be between 5% and 95%. Furthermore, the sample size must be large enough that the expected number of successes (np) and expected number of failures (nq) are both greater than or equal to 10. Finally, the sampling distribution should be approximately normal and the sample should be randomly selected from the population. The normal approximation is a useful tool for estimating confidence intervals and the probability of extreme values, as well as for hypothesis testing. It can be used to estimate the probability of success in a given sample of proportions, which can be helpful when making decisions about a population or understanding the behavior of a system.

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Questions with Bounds:

1) Andy Mann is building a garden fence out of planks. The planks are 10cm wide to the nearest cm. He needs to make 75 m of fencing altogether, correct to the nearest meter. How many planks does he need to order to make sure he has enough to complete the fence?

Answers

A total of 785 planks Andy Mann needs to order to make sure he has enough to complete the fence.

As the planks are 10cm wide to the nearest cm.

The total length of the fencing is = 75 m

From above, we can conclude that,

Range of the planks' lengths: 9.5 cm <= Plank's length < 10.5 cm

Range of fencing needed: 74.5 m <= Fence length < 75.5 m

We should consider the worst-case scenario where all the planks are 9.5 cm.

To complete the job, he only needs 74.5 m in total.

So, the total number of planks needed for completing the Job will be

= (74.5 * 100) / 9.5 = (7.84210*100) = 784.210

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Write the equation of the line that passes through (7, 6) and (-- 1, 2) in slope-intercept form.
○ y = − 1/x + 2/1/2
O y = 2x + 4
○ y = 1/x + 1/2/2
○ y = 1/x + 1/2

Answers

The equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, [tex]y=\frac{1}{2}x + \frac{5}{2}[/tex].

What is slope intercept form of the line?

Using a straight line's slope and the location of its y-axis intersection, the slope intercept equation can be used to determine the general equation of the line. y = mx + b is the equation in slope intercept form.

Given:

The line passes through the points (7, 6) and (- 1, 2).

We have to find the equation of the line that passes through (7, 6) and (-- 1, 2) in slope-intercept form.

First to find the slope of the line using the formula,

Slope = m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Here, [tex](x_1, y_1)= (7, 6), (x_2,y_2)=(-1, 2)[/tex]

Plug the values in the above formula.

[tex]m = \frac{2-6}{-1-7} = \frac{-4}{-8}=\frac{1}{2}[/tex]

Now consider the point slope form of the line,

[tex]y-y_1=m(x-x_1)\\y-6=\frac{1}{2}(x-7) \\y-6=\frac{1}{2}x-\frac{7}{2}\\ y=\frac{1}{2}x -\frac{7}{2}+6 \\y=\frac{1}{2}x+\frac{5}{2}[/tex]

Hence, the equation of the line that passes through (7, 6) and (-1, 2) in slope-intercept form is, [tex]y=\frac{1}{2}x + \frac{5}{2}[/tex].

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Mrs. Hanover borrows $1,413 at a
rate of 5% per year. How much
Simple Interest will she owe if it
takes her 9 months to repay the
loan? Round your answer to the
nearest cent

Answers

well, let's recall that a year has 12 months, so 9 months is really 9/12 of a year

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$1413\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\to \frac{9}{12}\dotfill &\frac{3}{4} \end{cases} \\\\\\ I = (1413)(0.05)(\frac{3}{4}) \implies I = 1413(\frac{3}{80})\implies I\approx 52.99[/tex]

Tank 1: 36 inches long, 18 inches wide, and 12 inches tall. How many gallons of water is in the tank?


I need a step-by-step explanation please

Answers

In a tank that is 36 inches long, 18 inches wide, and 12 inches tall have approximately 33 gallons of water.

How to calculate volume of a tank?

The rectangular tank's volume may be calculated using the formula V = l*b* h, where "l" stands for the tank's length, "b" for its width, "h" for its height, and "V" for its volume.

Define volume.

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Volume = length*width*height

V=36*18*12

V=7776 inches^3

which is approximately 33 gallons.

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a) What is the size of angle ABC? b) Use your answer to part a) to work out the size of reflex angle CBD. Give your answers to the nearest degree. ​

Answers

Answer:

a) 110

b) 250

Step-by-step explanation:

Read the top row of numbers for a.  We are starting at zero and going to 110

Reflex is when two angles add up to 360

360 - 110 = 250

Simplify:-
[tex]x {}^{2} - 5x + 6 \div x {}^{2} +3x - 10 \\ [/tex]
Guys help me please. ​

Answers

Step-by-step explanation:

[tex] = {x}^{2} \div {x}^{2} + 3x - 5x + 6 - 10 \\ = 1 - 2x - 4 \\ = - 2x - 4 + 1 \\ = - 2x - 3 \\ = - 1(2x + 3)[/tex]

HI,HOPE THAT IS HELPFUL.

What is another word for undecidable?

Answers

Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

Clarify algorithm.

A calculation or problem-solving procedure is known as an computation or algorithm. Algorithms serve as a thorough set of instructions that direct hardware- or software-based routines through a sequence of planned actions step by step. In all areas of IT, algorithms are commonly employed.

Here,

If it is impossible to develop an algorithm that reliably returns a true or false result for each input value, the problem is said to be undecidable.

The category of inherently unknowable questions, a subtype of insoluble problems, only includes questions that ought to receive a yes-or-no response .

Thus ,incomputable. is another word for undecidable.

Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

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help. pls.
-photo attached !

Find the measures of the numbered angles.


(the angles i need to find)

<1 _?
<2 _?
<3 _?
<4 _?
<5 _?
<6 _?
<7 _?
<8 _?

Answers

Answer:

<1=75°[corresponding angles are equal]

<2=180-<1=(180-75)°=105°[sum of st.angles is supplementary]

<3=<2=105°[Vertically opposite angles are equal]

<4=75°[Alternate angles are equal]

<6=<2=105°[Corresponding angles are equal]

<7=<6=105°[Vertically opposite angles are equal]

<8=75°[Vertically opposite angles are equal]

*mark me brainliest

[tex]h + 54 = 4 {}^{2} - 16 \div 4[/tex]

Value of h = ???​

Answers

Answer:

[tex]h = -42[/tex]

Step-by-step explanation:

First, subtract 54 from both sides.

[tex]h = 4^2 - 16 \div 4 - 54[/tex]

Then, evaluate the right-hand expression using the order of operations:

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

We'll first evaluate the exponent in 4²:

[tex]4^2 = 4 \times 4 = 16[/tex]

[tex]h = 16 - 16 \div 4 - 54[/tex]

Next, we can evaluate the division:

[tex]16 \div 4 = 4[/tex]

[tex]h = 16 - 4 - 54[/tex]

Finally, perform the subtraction.

[tex]16 - 4 - 54 = -42[/tex]

[tex]h = -42[/tex]

Answer:

[tex] \sf \: h = - 42[/tex]

Step-by-step explanation:

Given equation,

→ h + 54 = 4² - 16 ÷ 4

Now the value of h will be,

→ h + 54 = 4² - 16 ÷ 4

→ h + 54 = 16 - 4

→ h + 54 = 12

→ h = 12 - 54

→ [ h = -42 ]

Hence, value of h is -42.

The table shows the approximate area

in square miles of the largest and smallest

states in the United States. What is the

difference between the areas in

square miles?

State

Area (mi?)

873

Alaska

Rhode Island

392

Answers

The difference between the areas is 481 square miles.

Given information:

Alaska is 873 sq miles in size, as well as Rhode Island, is 392 sq miles in total.

To determine the difference between the areas in square miles, the following calculation must be performed: subtract Alaska from Rhode Island square miles then we get:

Let X be the total difference:

873 - 392 = X

481 = X

Therefore, the difference in the areas in square miles is 481.

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Solve the quadratic by factoring. 3x^{2}+7=-8x+3 3x 2 +7=−8x+3

Answers

The roots of the given quadratic equation are x = -2/3 and x = -2.

What is a quadratic equation?

A quadratic equation is a equation that is of the form -

y = f{x} = ax² + bx + c

Given is a quadratic equation as follows -

3x² + 7 = - 8x + 3

The given quadratic equations are -

3x² + 7 = - 8x + 3

3x² + 8x = 3 - 7

3x² + 8x + 4 = 0

(x + 2/3)(x + 2) = 0

(x + 2/3) = 0   and   (x + 2) = 0

x = -2/3   and   x = -2    

Therefore, the roots of the given quadratic equation are x = -2/3 and x = -2.

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A shoe store recorded the number of customers who made a purchase out of a sample of 100 customers who entered the store each day. The boxplot shown summarizes the recorded data for one year. Based on the boxplot, which of the following statements is true?

A. The range of the number of customers making a purchase is greater than 32.

B. The interquartile range of the number of customers making a purchase is 25.

C. The number of days that had at least 26 customers making a purchase is greater than the number of days that had at most 11 customers making a purchase

D. The number of days that had from 11 to 26 customers making a purchase is equal to the number of days that had at most 14 customers making a purchase.

E.The difference between the median and the lower quartile for the customers making a purchase is less than 2.

Explain your thinking.

Answers

Less than 2 units separate the median from the lower quartile for customers making purchases.

What is meant by quartile deviation?

The three values known as quartiles divide sorted data into four equal-sized portions, each with an equal number of observations. An example of a quantile is a quantile. First quartile: Also referred to as the lower quartile or Q1. The median or second quartile is also referred to as Q2. Third quartile: Also referred to as the higher quartile or Q3.

Half of the difference between the upper and lower quartiles can be used to define the quartile deviation analytically. Here, the upper quartile (Q3) and lower quartile (Q1) can be used to depict quartile deviation as the letters QD. The term "quartile deviation" is sometimes used to refer to the semi-interquartile range.

The coefficient of quartile deviation serves as a gauge for a collection of data's variability or spread. It is determined by taking the square root of the difference between the upper and lower quartiles, squaring the result, and dividing it by two. Comparing data sets is simple because it is expressed as a percentage.

Therefore, the correct answer is option E. The difference between the median and the lower quartile for the customers making a purchase is less than 2.

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(NEED HELP ASAP!!)

What are the coordinates of the focus of the parabola?


A: (8, 6)

B: (-8, 6)

C: (-8, 2)

D: (8, 2)

Answers

Answer:

C:  (-8, 2)

Step-by-step explanation:

Given parabola:

[tex]y=-\dfrac{1}{8}x^2-2x-4[/tex]

For the quadratic equation in the form y = ax² + bx + c, the x-value of the vertex is -b/2a.  

Therefore, the x-value of the vertex of the given parabola is:

[tex]\implies x=-\dfrac{b}{2a}=-\dfrac{-2}{2\left(-\frac{1}{8}\right)}=-8[/tex]

To find the y-value of the vertex, input x = -8 into the given equation:

[tex]\implies y=-\dfrac{1}{8}(-8)^2-2(-8)-4=4[/tex]

Therefore, the vertex (h, k) of the parabola is (-8, 4).

The focus of the parabola is (h, k+p) where:

(h, k) is the vertex[tex]p=\dfrac{1}{4a}[/tex]

Therefore:

[tex]\implies \textsf{Focus}=\left(-8,4+\dfrac{1}{4\left(-\frac{1}{8}\right)}\right)=\left(-8,2)[/tex]

Mr. Nunez brought 2 1/2 cake to chool for her cla. If there are 15 people in the cla ,including Mr. Nine, how much of the cake will each peron receive

Answers

Each person present in Mrs. Nunez's class is going to receive 1/6th part of the cake when they get it cut.

Mr. Nunez brought 2 ½ cakes for 15 people which means, 2 ½ cakes will be equally divided into 15 pieces and distributed to each person. Since 2 ½ is a mixed fraction we have to convert it into a regular fraction which will be equal to 5/2. So, the amount of cake a person will receive is equal to (5/2)/15 which is 1/6, which is roughly 0.167 part of the whole cake.

The given problem has been solved by using the properties of fractions.

The complete question that you might be looking for is-

Mrs. Nunez brought 2 1/2 cake to school for her class. If there are 15 people in the class, including Mr. Nine, how much of the cake will each person receive?

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A container has cups of milk in it. The container is 1/3 full. How many cups does the container hold? Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

2 or 6 i think im probaly wrong

Answer:

The container can hold 6 cups.

Step-by-step explanation:

Since the container is 1/3 full, and it currently has 2 cups, we know that it can only hold 6 cups as 3 × 2 is equal to 6.

How can you tell if you have a perfect square trinomial or the DIFFERENCE OF SQUARES?

Answers

The value of a perfect square is either a positive number or zero. They cannot be neutral.

what is perfect square ?

Perfect squares are generated when you square an integer. For instance, the number 81 is a perfect square since it can be derived by squaring 9: 99=81. 144 is a perfect square since 12 is squared to produce it. 169 is a perfect square since 13 may be squared to obtain it. Mathematical language Informally: When an integer (a "whole") number, whether positive, negative, or zero, is multiplied by itself, the outcome is referred to as a square number, a perfect square, or simply "a square." Therefore, all square numbers are 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on.

given

The value of a perfect square is either a positive number or zero. They cannot be neutral.

Square differences can be positive, negative, or zero depending on the order in which the numbers are obtained.

One squared term will be added to the difference of squares, and another squared term will be subtracted.

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A veterinarian weighs three cats. The
American Shorthair weighs 13.65 pounds.
The Persian weighs 13.07 pounds, and
the Maine Coon weighs 13.6 pounds.
List the cats in order from least to
greatest weight.

Answers

Answer:

Least to greatest.

Persian, Maine Coon, and American Shorthair



PLEASE HELP ME :((((


Jaya has a points card for a movie theater.

• She receives 85 rewards points just for signing up.

• She earns 8. 5 points for each visit to the movie theater.

• She needs 153 points for a free movie ticket.

Equation :

Answer v=

Answers

The number of visits Jaya can make to earn his first free movie ticket is 8

Total reward points received for signing up by Jaya = 85 rewards point

Total reward points received for each visit to the theatre by Jaya = 8.5 rewards point

Total reward points needed to Jaya for getting a free movie ticket = 153 rewards point

Let x represents the number of visits to the movie theatre

According to the question,

We can write it as:

85 + 8.5x  ≥  153  ------(i)

Now subtract 85 from both the side of equations,

We will get it as follows:

85 + 8.5x - 85 ≥ 153 - 85

8.5x ≥ 68

Further solving we will get it as:

x ≥ (68/8.5)  ≥ 8

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Solve the system of equations using subtraction.
2x-6y = -2 - 2y
-6x - 4y = -38 -2x

Answers

Answer:

y=7/2 and x=6

Step-by-step explanation:

2x−6y=−2y−2 can be turned into x=2y−1.

Now you can substitute the equations.

−6x−4y=−2x−38

−6(2y−1)−4y=−2(2y−1)−38

Then you can simplify.

−12y+6=−36

−12y=−42

y=7/2

Then you can substitute y to find x.

x=2y−1

x=2(7/2)-1

x=6

And then our answers are y=7/2 and x=6.

Hope this helped! :)

Which transformation produces another triangle that has the same area as the one shown

Answers

A reflection in the line y = -2 and then translation of 2 units right will create the same area so option (C) will be correct.

How to plot a graph?

f we shift the triangle anywhere then there will be no change in the area but if we apply the scale factor then since the dimension changes so its area will also change.

In all options, there is a scale factor so it will change area but in option C

A reflection in the line y = -2 reflection gives a mirror image about y = -2 but no changes in area then translation of 2 units right will shift triangle 2 units right but no effect in the area.

Hence "A reflection in the line y = -2 and then translation of 2 units right will create the same area".

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The graph represents an object that is shot upwards from a tower and then falls to the ground. The independent variable is time in seconds and the dependent variable is the object’s height above the ground in meters.

A How tall is the tower from which the object was shot?

B When did the object hit the ground?

C Estimate the greatest height the object reached and the time it took to reach that height. Indicate this situation on the graph.

Answers

A b and c is correct
Other Questions
Which of the following lists is included in what economists call "money"?a. cashb. cash and stocks and bondsc. cash and stocks and bonds and real estated. cash and stocks and bonds and real estate and all other assets HELPPP ASPPO!! 4x -y=6 -4x +y =8 which statement correctly describes the system of equations Que significa capital What a good review looks like? Use the diagram to find the indicated angle measures. Please do 1, 2, and 3. Please need ASAP!!!!!!!!!!!!!!! 30 POINTS During a fundraiser, Kate wants to sell the same number of $5 candy bars as $2 candy bars. The expression that represents how much money Kate will collect is . Identify any variables, constants, and coefficients and explain what they mean in terms of the expression representing this scenario. Giving brainiest for whoever answers all questions correctlyIf youve read the book 12 angry menPretend that you are the Foreman of the jury and write a brief letter to the Judge explainingwhere the jury currently stands at the end of Act 1 and what they hope to come to in Act 2. This will be done in first person point of view speaking as the Foreman. Remember the Foreman's role is to be the leader of the group and keep organization during their discussions. Again, this letter is to inform the judge of where the jury is during the deliberation process and to include what you think is to come in Act 2. One paragraph is sufficient. HELP!!! Find the inverse of the matrix.. What kind of sex is prohibited in the Bible? In our class there are 40 boys. 22 students are girls write a ratio comparing girls to boys which RAID type provides increased speed and data storage capability, but lacks redundancy? a. RAID 0 b. RAID 1 c. RAID 0+1 d. RAID Study the example showing a function. Then solveproblems 1-6.ExampleThe table and graph show therelationship between the lengthof the sides of a square, in feet, andthe perimeter of the square in feet.Side Length (input) 1 2 3 4 SPerimeter (output) 4812 16 20The relationship is a function becausethere is only one output value foreach input value.Perimeter (output)2018161412108642Perimeters of Squares0 1 2 3 4 5 6 7 8 9Side Length (input)1 Describe the relationship between the input and outputvalues in the example.2 Can you represent the function in the example with anequation? If so, what equation can you write? If not,why not?Vocabularyfunction a rule that Hannah either walks or cycles to school. The probability that she walks to school is 0.75 If she walks, the probability that she is late is 0.6 If she cycles, the probability that she is late is 0.2 Work out the probability that on any one day Hannah will not be late for school. What are the five healthy habits for a healthy community? Find the compound ratio of 2:3 and 5:4 Write an equation of the perpendicular bisector of the segment with the endpoints (-8,-1) and (4,5). y = A triangle has sides with lengths of 12 feet, 16 feet, and 18 feet. Is it a right triangle? European exploration was motivated by a desire for economic profit. What natural resource did Europeans seek out in West Africa, South America, and a North America? How did they attempt to acquire this resource in each location? What are two important lessons Marguerite learned from Mrs. Flowers? (50 Points and marked the brainliest)Use this passage for the following questionsPericles's funeral speech after the first battles of the Peloponnesian war."Our constitution does not copy the laws of neighboring states; we are rather a pattern to others than imitators ourselves. Its administration favors the manyinstead of the few; this is why it is called a democracy. If we look to the laws, they afford equal justice to all in their private differences; if no social standing.advancement in public life falls to reputation for capacity, class considerations not being allowed to interfere with merit; nor again does poverty bar the way, if aman is able to serve the state, he is not hindered by the obscurity of his condition. [...]Further, we provide plenty of means for the mind to refresh itself from business. We celebrate games and sacrifices all the year round [-] while the magnitudeof our city draws the produce of the world into our harbor, so that to the Athenian the fruits of other countries are as famillar a luxury as those of his own.If we turn to our military policy, there also we differ from our antagonists. We throw open our city to the world, and never by alien acts exclude foreigners fromany opportunity of learning or observing, although the eyes of an enemy may occasionally profit by our liberality; trusting less in system and policy than to thenative spirit of our citizens; while in education, where our rivals from their very cradles by a painful discipline seek after manliness, at Athens we live exactly aswe please, and yet are just as ready to encounter every legitimate danger. In proof of this it may be noticed that the Lacedaemonians do not invade our countryalone, but bring with them all their confederates; while we Athenians advance unsupported into the territory of a neighbor, and fighting upon a foreign sollusually vanquish with ease men who are defending their homes. [...]Nor are these the only points in which our city is worthy of admiration. We cultivate refinement without extravagance and knowledge without effeminacy, wealthwe employ more for use than for show, and place the real disgrace of poverty not in owning to the fact but in declining the struggle against it. [...]In short, I say that as a city we are the school of Hellas, while I doubt if the world can produce a man who, where he has only himself to depend upon, is equalto so many emergencies, and graced by so happy a versatility, as the Athenian. [...]Question : According to Pericles, Democracy :A) Allows one ruler to leader more efficiently B) Favors the many instead of the fewC) Draws upon the talents of the wealthiest and most educated D) Respects the divine right of kings to rule according to the will of the gods