Does anyone know the answer ?

Does Anyone Know The Answer ?

Answers

Answer 1

Answer:

6

Step-by-step explanation:

As you can see from the graph, it intercepts the y-axis at -4 and x-axis at 6


Related Questions

what is what is 9+10+12+13+18+17+21+98+207

Answers

Answer:

405

Step-by-step explanation:

Answer: 405

Step-by-step explanation:

Evaluate 1/5r + 9/20 when r = 1/4
1/5 ( blank) + 9/20 = blank + 9/20= Answer?
please answer asap

Answers

The value of the equation is A = 1/2

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A = ( 1/5 )r + 9/20   be equation (1)

On simplifying the equation , we get

when r = ( 1/4 )

Substituting the value of r in the equation , we get

A = ( 1/5 ) ( 1/4 ) + 9/20

A = ( 1/20 ) + ( 9/20 )

On further simplification , we get

A = 10/20

A = 1/2

Hence , the equation is A = 1/2

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Find the value of the expression
7/8-v
for v =5/8
Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

1/4

Step-by-step explanation:

7/8 - 5/8 = 2/8

2/8 divided by 2/2 is 1/4

Answer:

7/8-5/8

Step-by-step explanation:

7-5/8

2/8

2 into itself and into 8 is equal to 1/4

Jack has $684 in his wallet, which is 6 times as much as Jill has. How much money does Jill have in her wallet?

Answers

Answer:

114

Step-by-step explanation:

If jack has 684 which is 6 times jill then divide 645 by 6 and thenmake sure its correct by multiplying 6 times what you got and if the awnser if 684 its correct

Answer:

$4,104

thus : since jack has $684

jill=6*$684=$4104

how to determine if vectors are linearly independent

Answers

The value of c is zero and a and b can be something else, because the vector are linearly independent.

A set of vectors is linearly independent if no vector can be expressed as a linear combination of the others (i.e., is in the span of the other vectors). A set of vectors is linearly independent if no vector can be expressed as a linear combination of those listed before it in the set.

Assume the following:

[tex]a\left[\begin{array}{ccc}2\\2\\0\end{array}\right] + b\left[\begin{array}{ccc}1\\-1\\1\end{array}\right] +c\left[\begin{array}{ccc}4\\2\\-2\end{array}\right] = \left[\begin{array}{ccc}0\\0\\0\end{array}\right][/tex]

Determine if a=b=c=0

[tex]2a+b+4c =0 (1)\\ 2a-b+2c =0 (2)\\b-2c=0(3)\\[/tex]

Subtract (2) from (1)

[tex]b+c = 0\\b-2c=0[/tex]

Substitute (5) into (4), we get c=0.

So now what do I do with this fact? I'm tempted to say that only c=0, and a and b can be something else.

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a room has a floor dimension of 6 meters by 8 meters the height of the basement is 8 meters what is the total area of all four walls

Answers

Answer:

224 m^2

Step-by-step explanation:

The dimensions of the four walls are:

6x8, 8x8, 6x8, 8x8

The area of all of these walls is 2(6x8 + 8x8) = 224 m^2

50 points to whoever can answer with explanation.

Answers

Answer:

1/ a, c, d

2/ You are missing the option in the picture.

Step-by-step explanation:

If a relation is a function, one input can only have one output!

1/

b is wrong because 1 has two outputs -3 and 0. So, the answer for 1 is: a, c, d

2/

To test whether the graph is a function, we have to see if one x has 2 y or not! If it has 2 y, then it is not a function.

You are missing the options for question 2! So I can't answer number 2.

Pedro tiene como proyecto de construir la casa de sus sueños, estuvo ahorrando dinero, pero no fue suficiente ya que para hacer la casa al 100% necesita 60.000.0000$ lo que quiere decir que le faltan 35.000.0000$ para poder juntar todo el dinero. Contemplo la posibilidad de prestar en un banco los 35.000.000$ para pagarlos en 10 años con una tasa de interés del 8%. Preguntas. ¿Cuánto dinero había reunido Carlos antes de pensar en prestar con el banco? 25.000.000$ ¿Cuánto dinero pagaría Carlos en total al finalizar los 10 años? 37.800.000 ¿Qué precio tendría cada cuota mensual durante los 10 años? 315.000$

Answers

Pedro había reunido 25.000.000$ antes de pensar en prestar con el banco. Al finalizar los 10 años, Carlos pagaría 37.800.000$ en total, lo que significa que tendrá que pagar una cuota mensual de 315.000$ durante los 10 años para poder cumplir con el préstamo.

El préstamo que Carlos está considerando es una forma común de financiamiento para proyectos de construcción de viviendas. Esta forma de financiamiento le permite a Carlos acceder a fondos que de otro modo no tendría, permitiéndole construir su casa de los sueños. El préstamo a largo plazo también le ofrece la flexibilidad de pagar el préstamo en cuotas mensuales durante un período de 10 años.

Versión en inglés:

Peter had raised $25,000,000 before he thought about lending with the bank. At the end of the 10 years, Carlos would pay $37,800,000 in total, which means he will have to pay a monthly payment of $315,000 over the 10 years in order to make good on the loan.

The loan Carlos is considering is a common form of financing for home construction projects. This form of financing allows Carlos to access funds he would not otherwise have, allowing him to build his dream home. The long-term loan also offers him the flexibility to repay the loan in monthly installments over a 10-year period.

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Marisa divides a number by a power of ten and the quotient is 1.4. She says that if she multiplies the number by the same power of ten, the product is 14,000. What was the dividend in Marisa's original
problem? Use patterns to explain your thinking.

Help

Answers

The required number is 140 and it is divided by 10²

Finding the number:  

Assume the given numbers with 2 different variables and form the mathematical expressions according to the given conditions in the problem. Now solve the resultant equations by substitution method for the values of both variables.  

Here we have

Marisa divides a number by a power of ten and the quotient is 1.4.  

If she multiplies the number by the same power of ten, the product is 14,000.  

Let 'x' be the number and the power of 10 is 'a'

By the given data,

=> x/10ᵃ = 1.4  ---- (1)

=> 10ᵃx = 14000 ---- (2)

From (1)

=> x = 1.4 × 10ᵃ  --- (3)

From (3) and (2)

=> 10ᵃ(1.4 × 10ᵃ) = 14000

=> [tex]10^{2a} = \frac{14000}{1.4}[/tex]  

=> [tex]10^{2a} = 10000[/tex]  

=> [tex]10^{2a} = 10^{4}[/tex]  

=> 2a = 4

=> a = 2

From (3)

=> x = 1.4 × 10²  

=> x = 140  

Therefore,

The required number is 140 and it is divided by 10²

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Choose a second initial value that is 0. 01 greater than the initial value from question 9. Iterate it using the function, f, ten times. If necessary, you can round your results to the nearest ten-thousandth. (my initial value from question 9 is 2 btw. )

Answers

The result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.

The initial value for this question is 2 + 0.01 = 2.01. If we iterate this initial value using the function "f" ten times, we get the following sequence:

1st iteration: f(2.01) = 3.07 - [tex](2.01)^{2}[/tex]= 0.1599

2nd iteration: f(0.1599) = 3.07 - [tex](0.1599)^{2}[/tex]= 2.868201

3rd iteration: f(2.868201) = 3.07 - [tex](2.868201)^{2}[/tex]= 0.34459799

4th iteration: f(0.34459799) = 3.07 - [tex](0.34459799)^{2}[/tex] = 2.46306801

5th iteration: f(2.46306801) = 3.07 - [tex](2.46306801)^{2}[/tex] = 0.86121799

6th iteration: f(0.86121799) = 3.07 - [tex](0.86121799)^{2}[/tex] = 2.11255201

7th iteration: f(2.11255201) = 3.07 -[tex](2.11255201)^{2}[/tex] = 1.47511099

8th iteration: f(1.47511099) = 3.07 -[tex](1.47511099)^{2}[/tex]  = 1.87593299

9th iteration: f(1.87593299) = 3.07 -[tex](1.87593299)^{2}[/tex] = 1.28972499

10th iteration: f(1.28972499) = 3.07 -[tex](1.28972499)^{2}[/tex] = 1.68900499

So, the result of the 10th iteration is 1.689, rounded to the nearest ten-thousandth.

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Jason purchased a car for $22,995. According to his research, this make and model of car loses all of its marketable value after 9 years. If this car depreciates in a straight line form, what are the coordinates of the intercepts of the depreciation equation?

Answers

The car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).

The depreciation equation for the car can be represented as y = mx + b, where y is the value of the car at time x, m is the slope of the line, and b is the y-intercept.

To find the slope, we can use the information that the car loses all of its marketable value after 9 years. The market value of the car will be 0 after 9 years, so we can set y = 0 when x = 9:

0 = m * 9 + b

To find the y-intercept, we can use the information that Jason purchased the car for $22,995. This means that the value of the car at time 0 was $22,995, so we can set y = 22,995 and x = 0:

22,995 = m * 0 + b

Combining these two equations, we can solve for m and b:

0 = m * 9 + b

22,995 = m * 0 + b

b = 22,995

Now that we have found the y-intercept, we can use it to find the x-intercepts by setting y = 0 and solving for x:

0 = m * x + 22,995

0 - 22,995 = m * x

-22,995 = m * x

x = -22,995 / m

Since we don't know the value of m, we can't find the x-intercepts directly. However, since the car loses all of its marketable value after 9 years, the x-intercepts represent the points at which the car has lost all of its value, so they are (9, 0) and (0, 22995).

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The graph shows a relationship between two quantities.
2000
1800
1600
1400
1200
1000
800
600
400
200
STA
y = 1500x + 150
ALONS
JUMA
1 HOUT
TOU
8-6-4-2 0
N
Hilber
2 4
6 8
Which equation best represents the relationship between x and y in the graph?

Answers

y = 1500 + 150x, this is correctly  represents the relationship between x and y in the graph. This can be solved using the slope formula.

What is slope?

Slope, An evaluation of a line's inclination with respect to the horizontal using numbers. The slope of any line, ray, or line segment in analytical geometry is defined as the proportion of the vertically to the horizontally distance between the two points on the line ("slope equals rise over run").

(0, 1500) to (2, 1800)

thus, slope = (y₂ - y₁) / (x₂ - x₁)

or, slope = 300 / 2

or, slope = 150

So, y - 1500 = 150x

thus, y = 1500 + 150x

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The complete question is as follows:

Please help me I’m a bit stuck

Answers

Answer:

Step-by-step explanation:

The Answer would be -4x

Because 3-7= -4

Please help me!!!! I cannot figure it out

Answers

Answer: 12/37

Step-by-step explanation:

sin A= bc/ab = 12/37

The sine of the angle is equal to the ratio of the opposite to the hypotenuse (Ik this probably made 0 sense but I hope it helps! :D)

help i will give alot of points

Put the following integers in order from least to greatest:

1, 4, and −3.

Answers

Answer:

Hi there! The answer is -3, 1, 4.

Step-by-step explanation:

4 is the greatest and -3 is the least.

Hope this helps!

Brainiest? Can click the crown on this answer? Thanks!

given the graph of y = -3/2x - 1 and y = -x + 4 which of the following is a solution to both equations

pls help!

Answers

(1, -1) is the solution to both equations.

How to find the solution to the graph of system of linear equations?

A system of equations is a collection of two or more equations with the same variables. The goal is to find values for the variables that simultaneously satisfy all the equations in the system. There are different methods to solve a system of equations, including substitution, elimination, and graphing

The solution to both equations can found be determine by picking the x and y values of the point of intersection of the two lines. That is:

At the point of intersection of the lines:

x = 1 and y = -1

Thus, the solution to both equations is (1, -1)

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Indirect proportional question please answer

Answers

Answer:

y = 250x

Step-by-step explanation:

y = 1/[tex]x^{3}[/tex](k)  Solve for k

2 = 1/[tex]5^{3}[/tex](k)

2 = 1/125 (k)  Multiply both sides by 125

250 = k

y = 250x

PLSSSS HELP IF YOU TURLY KNOW THISSS

Answers

Answer:

x = 40

Step-by-step explanation:

We have to find,

→ the value of x in the equation.

The equation is,

→ (x/2) + 3 = 23

Now the value of x will be,

→ (x/2) + 3 = 23

→ x/2 = 23 - 3

→ x/2 = 20

→ x = 20 × 2

→ [ x = 40 ]

Hence, the value of x is 40.

The first gardener can finish the job in 6 hours, and the second gardener can do the same job in 7 hours. How long will it take to finish the same job if they work together

Explanation Please

Answers

Answer:

3 3/13 hours

Step-by-step explanation:

you will first find out how many hours it will take for each gardener to do 1 part of the job. gardener 1 is 1/6 and the second is 1/7. you will next add the two fractions. this will equal 13/42. you will then multiply by the reciprocal to get 1, this stands for the whole job done together. The reciprocal is the answer, 42/13. You will then simplify that to 3 3/13 hours.

intuitively, what do we expect to have when the error term's variance increases when we estimate a simple linear regression model?

Answers

When the variance of the error term increases in a simple linear regression model, it indicates a less accurate model with a high degree of uncertainty in its predictions.

Regression is a statistical method used to model the relationship between two variables, where one of the variables is dependent on the other.

Simple linear regression is a type of regression where the relationship between the dependent variable and the independent variable is modeled as a linear equation.

Mathematically, let's consider the simple linear regression equation as:

Y = β0 + β1X + ε

Where Y is the dependent variable, X is the independent variable, β0 and β1 are the coefficients of the regression equation, and ε is the error term.

The variance of the error term, Var(ε), is a measure of the spread of the residuals. A large variance of the error term indicates that the residuals are spread out over a large range, and thus, the regression model's predictions may not be very accurate.

In other words, a large variance of the error term means that the model has a high degree of uncertainty in its predictions, leading to a larger deviation between the actual and predicted values.

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A car sales person makes $7.00 per hour plus $100.00 for every car sold. Which expression represents the amount in dollars the salesperson makes, before taxes, if x cars are sold in 40 hours?

Answers

The expression represents the amount in dollars the salesperson makes, before taxes, would be 7x + 100 = 40.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.

We are given that car sales person makes $7.00 per hour plus $100.00 for every car sold.

Therefore, we have;

7x + 100 = 40

The expression represents the amount in dollars the salesperson makes, would be 7x + 100 = 40.

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solve these simultaneous equations
4a+3b=-9
2a+5b=-1

Answers

The solution to the system of equations 4a + 3b = -9 and 2a + 5b = -1 is a = 12, b = -5, found through substitution method.

Simultaneous equations are a set of equations with multiple variables, and the solution of these equations gives us the values of the variables that make all the equations true at the same time. To solve these equations, we can use elimination, substitution or matrices method.

Here, the given set of simultaneous equations is

4a + 3b = -9

2a + 5b = -1

One way to solve this is by substitution, where we solve one equation for one variable and substitute that expression into the other equation. Solving the first equation for "a", we get:

a = -3b - 3

Substituting this expression into the second equation, we get:

2(-3b - 3) + 5b = -1

Expanding the left-hand side, we get:

-6b - 6 + 5b = -1

Combining the like terms, we get:

-b - 6 = -1

Adding b and 6 to both sides, we get:

-b = 5

Finally, dividing both sides by -1, we get:

b = -5

Substituting the value of b back into the expression for a, we get:

a = -3(-5) - 3 = 15 - 3 = 12

So the solution to the system of equations is:

a = 12, b = -5

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based on the boxplot, approximately what percent of the people who entered the amusement park met the height requirement for the attraction?

Answers

Based on the boxplot, approximately 50% percent of the people who entered the amusement park met the height requirement for the attraction.

About Box Plot

Box-Plot is a summary of the sample distribution presented graphically which can describe the shape of data distribution (skewness), a measure of central tendency and a measure of dispersion (diversity) of observational data. There are 5 statistical measures that we can read from the boxplot, namely:

minimum value: the smallest observed value Q1: lowest quartile or first quartile Q2: median or average value Q3: highest quartile or third quartile maximum value: the largest observed value.

In addition, the boxplot can also show whether there are outlier values and extreme values from the observed data.

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A person with five children earns 61320 per month
Calculate the tax allowances

Answers

The federal income tax for this person is $407 per month.

The person qualifies for five personal allowances because they have five children. As of 2021, the standard personal allowance in the United States is $12,550.

As a result, the person can deduct 5 × $12,550 =$62, 750, from their taxable income to account for the five allowance

Their monthly taxable income is 61320 - $62, 750, or $4070. Based on taxable income, the federal income tax is calculated, and the individual's tax rate is determined by their taxable income bracket.

The tax rate on $4070 in taxable income as of 2021 is 10%.

Therefore, the federal income tax for this person is $4070 × 10% = $407 per month.

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When rolling a die (number cube), what is the probability of rolling a 2 or a 3?
OA. //
OB.
0C. 1/1/0
OD. 1/1/2
OE. 5/10

Answers

Answer:

1/3

Step-by-step explanation:

6 faces in a die

1/6 of rolling each side

1/6 of rolling 2 or 3

2/6 chance, 1/3 (simplified)

F(x)=-6x^4x+2x^2+12 G(x)=-2x^3+6x^2-x-1

Answers

The value of the expression,

F(x) + G(x) is -6x⁴ -2x³ + 8x² -x + 11.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Given:

An expression,

F(x) = -6x⁴ + 2x² + 12

And G(x) = -2x³ + 6x² - x - 1

To solve F(x) + G(x):

F(x) + G(x)

= -6x⁴ + 2x² + 12 -2x³ + 6x² - x - 1

Simplifying,

=  -6x⁴ -2x³ + 8x² -x + 11

Therefore, the value is -6x⁴ -2x³ + 8x² -x + 11.

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The complete question:

F(x) = -6x⁴ + 2x² + 12

And G(x) = -2x³ + 6x² - x - 1

Find out, F(x) + G(x)?

PLS HELPPPPPOOOOPPPP

Answers

Answer:

if there anything you dont understand ask me

A rabbit starts at 10 along a number line and then makes three jumps. First the rabbit jumps 4 units, then 2 units, and finally makes a jump of 1 unit. We don't know the direction of any jump.What are the possibilities

Answers

Answer:

Step-by-step explanation:

An internet service provider uses the function R = 3 log(a + 2) + 15 to relate R, the sales revenue from hosting websites, to a, the cost of advertising

Solve for a in terms of R.

Answers

"a" can be expressed as a function of "R" as:

[tex]a = 10^{\frac{(R - 15)}{3} - 2}[/tex].

What are logarithmic properties?

The 4 laws of logarithms are product property, division property, power property and change of base property.

The product property states that multiplying two logarithmic values is equivalent to summing their respective logarithms.The division property states that the difference between two logarithms is comparable to dividing two logarithmic values.The exponent times the logarithm of m's logarithm is identical to m's logarithm with a suitable exponent, according to the exponential rule.Change of base property - The change of base rule converts a logarithm in one base to a logarithm in another.

To solve for "a" in terms of "R," we need to isolate "a" on one side of the equation. We can do this by rearranging the equation and applying logarithmic properties.

Starting with the equation R = 3 log(a + 2) + 15, we'll subtract 15 from both sides:

R - 15 = 3 log(a + 2)

Next, we'll divide both sides by 3:

(R - 15) / 3 = log(a + 2)

Finally, we'll use the inverse logarithmic function, denoted as "exp" or "10^," to solve for "a":

[tex]a+2 = 10^{\frac{(R - 15)}{3} }[/tex]

And finally, we'll subtract 2 from both sides to obtain the solution:

[tex]a = 10^{\frac{(R - 15)}{3} - 2}[/tex]

So, "a" can be expressed as a function of "R" as:

[tex]a = 10^{\frac{(R - 15)}{3} - 2}[/tex]

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4. What kind of sequence is the pattern 15, 17, 20, 24, 29,. ? *
is it an arithmetic or geometric sequence?​

Answers

No, the given sequence is neither an arithmetic nor geometric sequence as there is no common difference nor common ratio.

Pattern for difference is dₙ = dₙ₋₁ + 1.

Pattern of the sequence is :

15, 17, 20, 24, 29,.....

15 + 2 = 17

17 + 3 = 20

20 + 4 = 24

24 + 5 = 29

Next number will be

29 + 6 = 35

35 + 7 = 42 and so on.

Difference of two consecutive terms are related by :

dₙ = dₙ₋₁ + 1

Common difference is not same for all the terms so it is not arithmetic sequence.

Common ratio is also not constant implies it is not geometric sequence.

Therefore, pattern for difference is dₙ = dₙ₋₁ + 1 but sequence is neither an arithmetic nor geometric sequence.

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whereas deductive judgments are determined by validity, inductive judgments are determined by the strength of the evidence for the claim.True or False A rock has a mass of 40 grams. When analyzed the rock is found to contain 10 grams of a radioactive material and 30 grams of a stable product. How many half-lives old is the rock?please explain too :) i will give brainliest .A circle is inscribed in quadrilateral ABCD. If AB = 4, BC = 5, and CD = 8,what is DA? which behaviors would the nurse recognize as developmentally appropriate in a preschooler? select all that apply. one, some, or all responses may be correct. Which approachs to linguistic acceptability would conclude that a sentence structure often used by native speakers of the language is valid and linguistically acceptable even if it does not conform to grammar rules often taught in a grammar textbook Select all that apply.Given the points (-6, 8) and (-3, 4), which of the following are true about the line passing through these points?The line represents a direct variation function.The line has a slope of - 3/4.The point (9, -12) is also on the line.The line has a slope of 3/4 . Sharks can swim 45 miles per hour. How long would it take for the shark to swim 1 mile? Compare nonprofit organizations with companies in the private sector.A) Nonprofit organizations use profits to pay the owners of the organization, and any excess profits are reinvested to further the organization's goal. Private-sector companies generate profits and pay out their excess profits to employees.B) Nonprofit organizations generate profits and pay out their profits to shareholders, and any excess profits are reinvested to further the organization's goal. Private-sector companies use profits to cover overhead expenses, and any excess profits are provided to the stakeholders.C) Nonprofit organizations' main goal is to generate profits, where the proceeds are reinvested to further the organization's goal, and excess revenues. Private-sector companies use revenues to cover overhead expenses, then pay their shareholders and stakeholders.D) Nonprofit organizations use profits to cover overhead expenses, and any excess profits are reinvested to further the organization's goal. Private-sector companies generate profits and pay out their profits to shareholders and stakeholders. a racing sports car traveling with a constant velocity of 100 mph due west startles a turtle by the side of the road who begins to move out of the way. which of these two objects is likely to have the larger acceleration at that instant? explain ____ for a cooking appliance, the overall energy supplied to the appliance is 5 kwh and only 4 kwh is transferred to the food. what is the appliance's efficiency? a mover weighing 847 n is pushing a piano weighing 2145 n down a hallway. the force the mover exerts on the piano is 249 n south. state how much force the piano exerts on the mover and in what direction. an investment offers a total return of 12 percent over the coming year. janice yellen thinks the total real return on this investment will be only 7.8 percent. what does janice believe the inflation rate will be over the next year? Which of the following is not mentioned by the textbook as a method for a court gaining in personam (personal) jurisdiction?Defendant resides in the state, Court exercises its authority under a long-arm statute ,Court orders defendant by mail to appear , Defendant is routinely found in the state what is 1777771 plus 8999907 What had the Spanish never seen before they went to the New World? a bag contains 5 red balls and 6 green balls. if two balls are taken out successively, without replacement, what is the probability that green is picked on the first pick given that at least one red is chosen? g 20% of the student population likes the turkey Sandwich.How many students do not like the turkey sandwich? A $9070 investment earns interest at3.3% per year compoundedsemiannually over 17 years. Use thecompound interest formula tocalculate the value of this investmentto the nearest cent. which of the following is a similarity between conversation and speeches? question 3 options: both often involve interruptions both can use stories for effect both typically involve using notes both have the same physical arrangement true or false? z-score helps to determine how far a particular value is from the mean relative to the data sets standard deviation.