PLEASE HELP
also do the check ur work side to plssss

PLEASE HELPalso Do The Check Ur Work Side To Plssss

Answers

Answer 1

Answer:

k = -10

Step-by-step explanation:

(-8-3k)/2 = 11

Multiplying both sides with 2:

2{(-8-3k)/2} = 11(2)

-8-3k = 22

-8-3k+8 = 22 + 8

-3k = 30

k = 30/-3

k = -10

Check:

(-8-3k)/2 = 11

Putting the value of k that is -10:

{-8-3(-10)}/2 = 11

(-8+30)/2 = 11

22/2 = 11

11 = 11

Hence, it is proved that, k is, in fact, equal to -10


Related Questions

Which line is perpendicular to y=−3x+2?

A. y = −3x+1/2

B. y =−1/3x+1

C. y = 3x−1/2

D. y =1 /3x−1

(Note: the selected answer is not guaranteed to be correct in the image)

Answers

Answer:

I kinda want to say it's C

The table shows the numbers y (in thousands) of people in a city who regularly use sharable electric scootersx weeks after the scooters are introduced.

Answers

im still learning that

Step-by-step explanation:

Describe the similarities and differences between finding the slope of a linear equation from a graph that has x and y scales that are 1:1, and from a graph that has x and y scales that are not 1:1 (say your x and y scales are 2, 4, 6).

Answers

Using the concept of the slope of a linear function, we have that:

For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Given two points in the graph of a function, the slope is given by change in y divided by change in x, hence:

For a graph in a 1:1 scale, we can look at two consecutive values, y when x = a and y* when x = a + 1, and subtract y* by y. For a graph in another scale, we also do the same thing, but since the scale is not 1:1, we have to divide the subtraction of y* by y by the scale.

More can be learned about linear function concepts at https://brainly.com/question/24808124

#SPJ1

9+8n≤1 please help me with this

Answers

Answer:

n ≤ -1

Step-by-step explanation:

Inequality is a concept that refers to the unequal distribution of resources, opportunities, or status among individuals or groups. It can be measured in a number of ways, including income inequality, wealth inequality, and educational inequality.

For the Question:

Let's solve for 'n':

Given inequality:

[tex]\sf 9 + 8n \leq 1[/tex]

Subtract 9 from both sides:

[tex]\sf 9 + 8n -9 \leq 1 -9[/tex]

[tex]\sf 8n \leq -8[/tex]

Divide both sides by 8 (remember, since you're dividing by a negative number, the inequality sign flips):

[tex]\sf \dfrac{8n}{8} \leq \dfrac{-8}{8}[/tex]

n ≤ -1

So, the solution for 'n' that satisfies the inequality is n ≤ -1.

two f1 plants were crossed with each other and the f2 generation consisted of 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants (1600 total). a chi-square goodness-of-fit test is used to see if these data represent chance deviations from a 9:3:3:1 ratio. what will be the calculated chi-square value and what will be the degrees of freedom used to interpret the chi-square?

Answers

According to the given statement the chi-square value in the test of this hypothesis is  10.111.

The correct option is C.

What is chi-square value?

The chi-square statistic contrasts the actual values with what was anticipated. The discrepancy between the values observed and expected is tested using this test statistic to see if it is statistically significant.

According to the given data:

Tall and purple flower observed valve = 860

Dwarf and purple flower observed valve  = 285

Tall and pink flower observed valve = 340

Dwarf and pink flower observed valve = 115

Total no. of flower = 860 + 285 + 340 + 115

                              = 1600

The ratio given is 9: 3: 3: 1

Expected no. for Tall and purple = 100(9/16) = 900

Expected no. for Dwarf and purple = 1600(3/16) = 300

Expected no. for Tall and pink   = 1600(3/16) = 300

Expected no. for Dwarf and pink = 1600(1/16) = 100

chi-square value  = ∑ (objered value - expected value)² /Expected value

                        = [tex]\begin{aligned}\frac{(860-900)^2}{900}+\frac{(285-300)^2}{300}+\frac{(340-300)^2}{300} +\frac{(115-100)^2}{100}\end{aligned}[/tex]

                         = 1.778 + 0.75 + 5.333 + 2.25

                         = 10.111

The value is 10.111

To know more about chi-square value visit:

https://brainly.com/question/23879950

#SPJ4

I understand that the question you are looking for is:

A dihybrid plant was crossed; the F2 generation consisted of: 860 tall plants with purple flowers; 285 dwarf, purple plants; 340 tall, pink plants; and 115 dwarf, pink plants. The data remind you of a 9:3:3:1 ratio. What is the chi-square value in the test of this hypothesis?

a. 0.377;

b. 7.5;

c. 10.11;

d. 11.08;

e. 15.78

HELP !!

Elena and Diego each wrote equations to represent these diagrams. For each diagram decide which equation you agree with, and solve it. You can assume that angles that look like right angles are indeed right angles.

Elena: X=35
Diego: X+35=180

Answers

Answer: Diego is correct, and X = 145

Step-by-step explanation:

The line that 35* and x* rest on must equal 180*. Elena cannot be right if we assume this, as 35 + 35 = 70. We must then move onto Diego's formula.

[tex]X + 35 = 180[/tex]

[tex]180 - 35 = X[/tex]

[tex]X = 145[/tex]

Solving this, we would subtract 35 from 180, leaving us with 145*. This must be correct as the solution would give us the total we need.

create an equation from the model that describes the relationship between the weights on each side of the scale

Answers

The algebraic equation that describes the relationship of the weights on both sides of the scale is: 2y + 3 = 4y + 2.

How to Create an Algebraic Equation?

Using the weights on each side of the scale, we can create an algebraic equation that describes it.

Assume each weigh on the scale represents each side of an algebraic equation.

On left side, we can express the weights as: 2y + 3

On the right side, we can express the weight as: 4y + 2

Thus, expressing the relationship of the weights, we would have:

2y + 3 = 4y + 2

Thus, the algebraic equation that describes the relationship of the weights on both sides of the scale is: 2y + 3 = 4y + 2.

Learn more about the algebraic equation on:

https://brainly.com/question/2164351

#SPJ1

Tyrell has a box of colored pencils. He uses 65 pencils and has 114 pencils left in the box. Write an equation showing how many pencils are in the box before he starts drawing.

p − 65 = 114
p = 114 − 65
65 + p = 114
114 + p = 65

Answers

Answer:

p-65=114

Step-by-step explanation:

In this equation, "p" is the amount of pencils in the box before he starts drawing. he removes 65 pencils from the box, leaving 114 in the box. What he needs with 65 pencils at once, I can't fathom.

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and StartFraction 41 Over 8 EndFraction,

Answers

The value of the inverse function f⁻¹(8) is  [tex]\frac{3}{2}[/tex] .

An inverse function in mathematics is a function that "undoes" another function.

In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f⁻¹ .

To calculate the inverse of the function  f (x) = 2 x + 5 we simply  write the function in the form y = 2x + 5 .

Now we solve the equation for x.

∴ y = 2x + 5

or, 2x = y-5

or, x = (y-5)/2

Hence the inverse of the function is given as:

f⁻¹ (x) = (x - 5 ) / 2

Now we have to find the value of f⁻¹ (8).

f⁻¹ (8) = (8-5) / 2

or, f⁻¹ (8) = 3 / 2

Hence the value of f⁻¹ (8) is 3 / 2 .

To learn more about inverse function visit:

https://brainly.com/question/2541698

Disclaimer: the complete question is:

If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f(x)=2x+5, what is f-1(8)?

#SPJ9

Answer: B

Step-by-step explanation: On Edge 2022

What is this supposed to mean!?!?!?!?

Answers

Answer:

h = V/B

Step-by-step explanation:

[tex]\sf V \div B = h\\Reverse\\h = V \div B[/tex]

Answer:

D. h = V/B

Step-by-step explanation:

"Solve...for h" means get h all by itself on one side of the equation.

V = Bh

Divide both sides by B.

V/B = h

Turn it around and you can see the answer in the choices. D. h = V/B is the correct answer.

solve the equation 4x -6 = 22​

Answers

Answer: x=7

Step-by-step explanation: hope this helps!!!

Answer:

x=7

Step-by-step explanation:

pls help :) brainliest

Answers

Answer:

151 shirts

Step-by-step explanation:

2578 divided by 17 is 151.647...

Answer:151

Step-by-step explanation:2578 divided by 17 equals 151.6470588. you cant have a partial shirt so you have to round down or you will go over your money

Use the figure to the right to find the value of PT.
PT= 4x+4 and TQ 6x-6

Answers

If PT=TQ then it would be 4x+4=6x-6. Then 10=2x which equals 5

Next plug in 5 to PT. 4(5)+4=24.

Answer=24

7 rationals and irrationals prove that the product of a non-zero rational number and an irrational number is irrational.

Answers

Let x be a rational number and y be an irrational number. This is the correct choice.

Allow xy=a.

Suppose an is a rational being.

A can be stated as q p since it is rational, where p and q are both integers.

Let x = n m, where n and m are both integers.

Then, xy=a

n \smy \s​ \s = \sq \sp \s​ \s .

When we cross multiply, we obtain,

⇒y= qm \spn \s​ \s .

Pn and qm are currently integers.

Consequently, qm pn is a rational number.

Y, however, is illogical.

Consequently, our assumption is unfounded.

Therefore, an irrational number is always the result of adding a non-zero rational number to an irrational number.

What do you mean by irrational number ?

a number that cannot be written as the quotient of two integers and cannot be expressed as an infinite decimal with a series of consecutive digits repeating itself forever.

To know more about irrational number visit:

https://brainly.com/question/17450097

#SPJ4

point k is on a line segment JL. given JK =2x-2, KL =x-9, and JL = 2x+8, determine the numerical length of KL

Answers

The numerical length of KL = 10.

What exactly is an equation?An equation, in its most basic form, is a mathematical statement demonstrating that two mathematical expressions are equal.3x + 5 = 14, for example, is an equation in which the expressions 3x + 5 and 14 are separated by a 'equal' sign.

So,

JK + KL = JL2x – 2 + x – 9 =  2x + 8

Combine similar terms:

3x -11 = 2x+8

Take 2x off each side:

3x-2x -11 = 2x+8-2xx-11 = 8

Add 11 for each side:

x-11+11 = 8+11x = 19KL = x – 9KL = 19-9KL = 10

Therefore, the numerical length of KL = 10.

Know more about equations here:

brainly.com/question/2972832

#SPJ9

5 Bruno buys 9.625 gallons of gasoline at a gas station.
Each gallon costs $3.40. Bruno also buys a bag of ice
for $3.99. How much in total does Bruno spend at the
gas station to the nearest cent?

Answers

Answer:

Step-by-step explanation:

9.625 rounded is 10.

10 x $3.40 = $34

$3.99 rounded to the nearest cent is $4.

$34 + 4 = $38, so Bruno spends about $38 total.

The pair of triangles that are congruent by the ASA criterion is . The pair of triangles that are congruent by the SAS criterion is .

Answers

The relationship between the triangles are;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

What is congruency of triangles?

The term congruency has to do with the fact that the triangles are similar. That is why another way that we could express congruent triangles is to call them similar triangles. These are the triangles that look alike in some ways. The triangles may be similar in the following ways;

1) Angle Angle Side

2) Side Side Side

3) Side Angle Side

4) Angle Side Angle

5) Angle Side Side

Having seen the various ways in which triangle could be similar we are asked to obtain the triangles that are similar by Angle Side Angle and  Side Angle Side.

A good look at the triangles as shown in the image attached to this answer would show us which of the triangles are similar on the basis of Angle Side Angle and  Side Angle Side.

We can see that;

Δ ABC and Δ XYZ is related by ASA

Δ BAC and ΔRQP are related by SAS

Learn more about congruent triangles:https://brainly.com/question/22062407

#SPJ1


The Rock Club members have collected 182 gems. How many did each
member collect if
a) Alice collected 1 more than 3 times what Cecil did.

b) Jaime collected 12 less than 3 times what Alice did.

c) Amir collected 10 less than Cecil.

d) Monte collected 5 more than Cecil.
How many gems didCecil collect?

How many gems did Alice collect?

How many gems did Jaime collect?

How many gems did amir collect

How many gems did Monte collect

Answers

Using a system of equations, the amounts of gems collected by each member is are given as follows:

Cecil: 13Alice: 40Jaime: 108Amir: 3Monte: 18.

What is a system of equations?

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

For this problem, the variables are given as follows:

Variable x: Number of gems collected by Cecil.Variable y: Number of gems collected by Alice.Variable z: Number of gems collected by Jaime.Variable t: Number of gems collected by Amir.Variable w: Number of gems collected by Monte.

They collected a total of 182 gems, hence:

x + y + z + t + w = 182.

Alice collected 1 more than 3 times what Cecil did, hence:

y = 3x + 1.

Jaime collected 12 less than 3 times what Alice did, hence:

z = 3y - 12 = 3(3x + 1) - 12 = 9x - 9.

Amir collected 10 less than Cecil, hence:

t = x - 10.

Monte collected 5 more than Cecil, hence:

w = x + 5.

Replacing everything in the first equation, we can solve for x as follows:

x + y + z + t + w = 182.

x + 3x + 1 + 9x - 9 + x - 10 + x + 5 = 182.

15x = 195

x = 195/15

x = 13.

Hence the other variables are:

y = 3(13) + 1 = 40.z = 9x - 9 = 9(13) - 9 = 108.t = x - 10 = 13 - 10 = 3.w = x + 5 = 13 + 5 = 18.

Thus the amounts of gems collected by each member is are given as follows:

Cecil: 13Alice: 40Jaime: 108Amir: 3Monte: 18.

More can be learned about a system of equations at https://brainly.com/question/24342899

#SPJ1

Which expression can be used to show a set of twenty books divided into four groups?

Answers

The expression that can be used to show a set of twenty book divided into 4 groups [tex]\frac{20}{5}[/tex]

Given,

The total number of books= 20

Number of books in each group= 4

We have to use division

Then, the expression used to represent a set of 20 books divided into four group =[tex]\frac{20}{5}[/tex]

So the result will be 4

Hence, the expression that can be used to show a set of twenty book divided into 4 groups is [tex]\frac{20}{5}[/tex]

Learn more about division here

brainly.com/question/21416852

#SPJ4

Which figure is missing in the pattern?
?

Answers

Answer:

B

Step-by-step explanation:

it grows b

Pls pls help whoever gets it right gets a crown

Answers

Answer: 12.8x^2

Step-by-step explanation:

3.2x * 4x=

3.2 * x * 4 * x=

3.2 * 4 * x * x=

12.8 * x^2=12.8x^2

12.8x^2
Trust trust trust

given two points on a line and a third point not on the line, is it possible to draw a plane that includes the line and the third point?

Answers

Yes, it is possible to draw a plane that contains a line and a point not in the line.

A plane is a flat two-dimensional surface that extends to infinity. Planes are points (0-dimensional), lines (1-dimensional), and the 2-dimensional analogue of 3-dimensional space. The plane has zero thickness, zero curvature, infinite width, and infinite length. It's actually difficult to imagine an airplane in real life. All the flat surfaces of a cube or cuboid, the flat surface of paper are all practical examples of geometric planes.

In any dimensional Euclidean space, a plane is uniquely defined by either: Use three non-collinear points. Use points and lines that are not on this line. Use two different lines that intersect.

Learn more about plane here

https://brainly.com/question/17242320

#SPJ9

Match the polynomial expression on the left with the simplified version on the right.
(y + 5)²
(y - 5)(y + 5)
A
2-10
²-25
²+25
²-10y-25
²+10y + 25
Pls answer quick

Answers

The simplified version of first expression is  y² + 10y + 25 and  simplified version of second expression is  y²  – 25

The first polynomial expression on the left is (y + 5)²

= y² + 2×y×5 + 5² (using the formula (a + b)² = a² + 2ab + b²)

= y² + 10y + 25

The second polynomial expression on the left is (y + 5)(y – 5)

= y(y – 5) + 5(y – 5)

= y² – 5y + 5y – 25

= y²  – 25

Learn more at:

https://brainly.com/question/26489570

#SPJ9

The complete question is given below :

The polynomial expression on the left is (y + 5)², and the simplified version on the right for this polynomial is y² + 10y + 25.

The polynomial expression on the left is (y – 5)(y + 5), and the simplified version on the right for this polynomial is y² – 25.

Find the area of the composite figure.
8 cm
10 cm
14 cm

Answers

Answer:

96 cm

Step-by-step explanation:

14-10= 4.

So the base of the triangle is 4.

10*8=80

4*8*1/2=16

80+16 = 96

Answer:

32

Step-by-step explanation:

Which square root could be the number shown on the number line?
O A. √15
O B. √17
O C. √26
O D. √24

Answers

The number shown on the number line could be related to the inexact irrational number √17.

What irrational number is associated with a point on a number line?

In this problem we find the location of a point on a number line, which is related to an inexact irrational number, that is, an irrational number that is not equivalent to any rational number. The point is between two exact irrational numbers, that is, √16 = 4 and √25 = 5.

There are two options: (i) √17, (ii) √24. √24 is close to 5, but √17 is close to 4. Thus, the number shown on the number line could be related to the inexact irrational number √17.

To learn more on irrational numbers: https://brainly.com/question/4031928

#SPJ1

how to solve -6x+3y=9 by y?

Answers

Answer:

Down below Explanation :) answer is [tex]x=-\frac{3-y}{2}[/tex]

Step-by-step explanation:

-6x+3y=9

Steps:

Subtract 3y From both sides.

-6x+3y-3y=9-3y

Simplify:

-6x=9-3y

Lastly; divide both sides by -6

[tex]\frac{-6x}{-6}=\frac{9}{-6}-\frac{3y}{-6}[/tex]

And your answer is

[tex]x=-\frac{3-y}{2}[/tex]

- 3x + 6y =- 18 solve for y

Answers

Answer:

y = [tex]\frac{1}{2}[/tex] x - 3

Step-by-step explanation:

- 3x + 6y = - 18 ( isolate the term in y by adding 3x to both sides )

6y = 3x - 18 ( divide through by 6 )

y = [tex]\frac{1}{2}[/tex] x - 3

An expression involves subtracting two numbers from a given number. Under what circumstances will the value of the expression be negative? Give an example

Answers

the expression can be negative under various circumstances.

An expression means to subtraction two numbers from a given number.

Let the numbers be a, b and c

Do, the expression will become:

a - b - c.

The expression can be negative if:

1. the value of b + c > a

For example: a = 4, b = 5 and c = 6

so, the expression will be

4 - 5 - 6 = - 7

2. The value can be negative if a - b < c

For example:

a = 2, b = 1 and c = 6

The expression will be:

2 - 1 - 6 = - 5

3. The value can be negative if a - c < b

For example:

a = 1, b = 6 and c = 2

The expression will be:

1 - 6 - 2 = - 7

Therefore, we get that the expression can be negative under various circumstances.

Learn more about expression here:

https://brainly.com/question/723406

#SPJ9

4 cards are drawn at random from a standard deck. find the probability that all the cards are hearts. find the probability that all the cards are face cards. note: face cards are kings, queens, and jacks. find the probability that all the cards are even. (consider aces to be 1, jacks to be 11, queens to be 12, and kings to be 13)

Answers

The probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

In a standard deck of cards, we have:

Total number of cards= 52

1) The probability that all the cards are hearts.

In a standard deck of cards, we have:

the number of Hearts = 13

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are hearts is:

P1 = 13/52 × 12/51 × 11/50 × 10/49

P1 = 0.25 × 0.2353 × 0.22 × 0.2041

P1 = 0.0026

2) The probability that all the cards are face cards.

In a standard deck of cards, we have:

Face card = 12

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are face cards.

P2 = 12/52 × 11/51 × 10/50 × 9/49

P2 = 0.2308 × 0.2157 × 0.2 × 0.1837

P2 = 0.0018

3) The probability that all the cards are even.

In a standard deck of cards, we have:

Even cards = 20

When a card is selected, the number of cards reduces by 1.

So, the probability that all the 4 cards are even.is:

P3 = 20/52 × 19/51 × 18/50 × 17/49

P3 = 0.3846 × 0.3725 × 0.36 × 0.3469

P3 = 0.0179

Hence, the probability that all the 4 cards are even is 0.0179

Therefore, the probability that all the 4 cards are

1) hearts = 0.0026

2) face cards = 0.0018

3) even cards = 0.0179

Read more about probability at:

https://brainly.com/question/3679442

#SPJ4

If point A (-5, 9) is reflected across the x-axis, what will be the new coordinates of the image, A'?
please help! I am in the middle of a test! I am offering 30 points.

Answers

The new coordinates of the image A' will be  (-5, -9).

Here, we are given a point on the cartesian plane- A (-5, 9)

It is reflected along the x axis to form a new point A'

Originally, we can see that the point A will be in the 2nd quadrant as x is negative and y is positive.

Now, when it is reflected across the x axis, the point will shift from the 2nd quadrant to the 3rd quadrant.

In the third quadrant, both x and y values are negative. Thus the coordinates of the reflected point A' will become (-5, -9).

Note that the absolute values of the point will not change when it is reflected. It is only the signs that change.

Learn more about the cartesian plane here-

https://brainly.com/question/19854458

#SPJ9

Other Questions
Compare+the+interest+earned+by+$+for+years+at+%+simple+interest+with+interest+earned+by+the+same+amount+for+years+at+%+compounded+annually.+why+does+a+difference+occur? Which sport car motion does Not get any kind of "acceleration?" When a car A- turns a cornerB- brakes to a stop C- starts from a traffic stopD- moves with constant velocity probing nuclear symmetry energy at high densities using pion, kaon, eta and photon productions in heavy-ion collisions Kofi sees his physics professor approaching on the sidewalk that runs by the second-floor dorm room. He gets a water balloon, and when the professor is 2.0 seconds from being directly underneath Kofi, 11m above the sidewalk, Kofi drops the balloon. Does the balloon hit the professor? Demonstrate why or why not? the gettysburg address is generally considered one of the greatest arguments in favor of democracy ever written. what line do you think best sums up that argument? Sympatric speciation commonly occurs through ________ in plants but is more likely to occur through ________ in animals. If the angle of incidence of an incoming ray of light hitting a mirror is 46 what is the angle of reflection for the same ray leaving the mirror 9. Based on what you've read so far, what distinguishes Cherry's character from other girls her age?How is she different from a typical teenage girl in the 1960s? can anyone help me with this I am stuck Two bicyclists are on a 75-mile trail riding toward each other. One bicyclist begins at the 45-mile marker. The other begins at the end of the trail. The expressions shown represent the distance from the Parking Lot for each bicyclist when they meet.Two bicycles traveling toward each other are shown. The bicycle on the left travels from a point labeled parking lot. It travels a distance represented by the expression forty-five plus ten x. The bicycle on the right travels from a point labeled 75 miles from the parking lot. It travels a distance represented by the expression seventy-five minus ten x.I need an answer please! ASAP The sum of an integer and 7 times the next consecutive odd integer is 6. Find the value of the greater integer. 1. A friend tells you that he/she has been receiving anonymous bullying messages online. You suspect that certain people are guilty. Would you: a. Tell your friend just to ignore them b. Encourage them to report the abuse c. Risk confronting the ones you suspect Can someone please help I will be giving Brainliest to whoever can answer :)Match the questions with the graphs that are labeled A-H. (keep in mind that some questions might have the same answer)6. x^2- 3x 07. x^2- 3x + 2 08. {(x, y): y 1 - x^2} and {(x, y): y -1} A certain european automobile has a gas mileage of 19 km/l. part a what is the gas mileage in miles per gallon? According to edward hall, people who interact at distances of 12 feet and beyond are considered to be in the ______ distance zone Through what total distance (in m) has the object moved between t = 0 and t = 18 s? Leadership is a desire to make a difference and it takes direction, achievement, and ________________________.A. SynergyB. TeamworkC. CohesivenessD. Tact Josue is the youngest of three siblings whose ages are consecutive even integers. Ifthe sum of their ages is 78, find Josue's age. if h(x)=x2-x find h(3) Jared estimates that his houseplant is as heavy as a 5 kilogram bowling ball. Draw a tape diagram to estimate the weight of 3 houseplants.