The domain of a certain exponential function is all real numbers. The range of the function is all real
numbers greater than -3. The graph of the function has a horizontal asymptote at y = -3.
Select a graph or graphs to fit the description of the function.

Answers

Answer 1

One exponential function with the given features is y = 2^x - 3, and is graphed at the end of the answer.

How to define the exponential function?

An exponential function is defined as follows:

y = a(b)^x + c.

In which:

a is the initial value.b is the rate of change.c is the horizontal asymptote.

The graph of the function has a horizontal asymptote at y = -3, hence:

c = -3.

For a and b, they can assume any non-negative values, hence we attribute these following values:

a = 1, b = 2.

The graph is given at the end of the answer.

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The Domain Of A Certain Exponential Function Is All Real Numbers. The Range Of The Function Is All Realnumbers

Related Questions

if the correlation is 0, then there is no relationship between the two variables. hintlinks to an external site. textbook pageslinks to an external site. group of answer choices true false

Answers

There is no association between the two variables if the correlation is 0.hintlinks to an external site. textbook pageslinks to an external site is False statement.

A correlation of zero means that there is no linear relationship between two variables, however, this does not necessarily mean that there is no relationship at all. It's crucial to keep in mind that correlation does not equal causation.For example, two variables may have no linear relationship, but still be related in some way, such as through a third variable or a non-linear relationship. Therefore, correlation does not necessarily mean that there is no relationship between two variables.

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You have 2 different savings accounts. For Account​ A, the simple interest earned after 3 months is ​$2.00. For Account​ B, the simple interest earned after 18 months is ​$20.70. If the interest rate is 3.2​% for Account A and 2.3​% for Account​ B, how much is the principal in each​ account? Which account earned you the most interest the first​ month? Explain your answer.

Answers

Answer:

Account A = $20.8

Account B = $

Step-by-step explanation:

how much is the principal in each​ account?

Formula  = (P x R x T)/100

Account A: -

2.00 = P(3.2)(3) / 100

(2 x 100) / (3.2 x 3) = P

P = $ 20.8

Account B: -

20.7 = P(3.2)(18) / 100

(20.7 x 100) / (3.2 x 18) = P

P = $35.9

Which account earned you the most interest the first​ month?

Account A: -

3 months ----> $2

1 month ----> $x

x = 2 / 3

x = $0.67

Account B: -

18 months ----> 20.7

1 month ----> $y

y = 20.7 / 18

y = $1.15

Account B has earned more as 1.15 > 0.67 ( 1.15 IS greater than 0.67)

I hope my answer helps you.

Planes Q and R are parallel planes. Plane Q contains line a. Plane R contains line b.

Planes Q and R are parallel. Plane Q contains line a and plane R contains line b. Both lines are going the same direction.
If a third plane could be drawn which contains both lines a and b, then

lines a and b must be parallel.
lines a and b cannot be parallel.
lines a and b must be skew.
lines a and b must be perpendicular.

Answers

Answer:

lines a and b must be parallel

Answer:(A)

Step-by-step explanation:edge

Noel old 4 carved wooden block at a local fair, earning a total profit of $26. He plan to ell 22 block during the fair. If he ell all the block, how much profit can Noel expect to earn? $

Answers

Noel can expect to earn a total profit of $572 if he sells all 22 blocks at the fair. Profit is an important measure of the financial performance of a business.

Profit is the amount of money that is gained from a business activity after all expenses have been paid. It is calculated by subtracting the costs of producing or acquiring a product or service from the revenue generated by selling that product or service.

To find the total profit that Noel can expect to earn from selling all 22 blocks, we need to multiply the profit from each block by the number of blocks he plans to sell.

We can use the following equation to calculate the total profit:

Total profit = Profit per block x Number of blocks

Plugging in the values we know, we get:

Total profit = $26 x 22 = $<<26*22=572>>572

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Chri want to order DVD over the internet. Each DVD cot $15. 99 and hipping the entire order cot $9. 99. If he can pend no more than $100 , how many DVD could be buy?

Answers

Chris can only buy a maximum of 5 DVDs.

What is a division?

The division is a mathematical operation that involves dividing one number (the dividend) by another number (the divisor) to find the quotient. It is represented by the symbol "/" or "÷".

To determine how many DVDs Chris can buy, we need to subtract the cost of shipping from the total amount of money Chris has available and then divide the remaining amount by the cost of each DVD.

First, we subtract the cost of shipping from the total amount of money Chris has available:

$100 - $9.99 = $90.01

Then, we divide the remaining amount by the cost of each DVD:

$90.01 / $15.99 = 5.63

Chris can buy 5 DVDs.

Hence, Chris can only buy a maximum of 5 DVDs.

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The following equation i true for all value of x. What number complete the equation?
Show your work. 5y 2(3y − 1) = ⬜y − (y 2)

Answers

we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

5y + 2(3y − 1) = 8y - (y2)

5y + 2(3y - 1) can be rewritten as 5y + 6y - 2.

Then, we can combine like terms on the left side to get

11y - 2.

On the right side, we can combine like terms to get 8y - y2.

Now, we have 11y - 2 = 8y - y2. We can subtract 8y from both sides to get 3y - 2 = -y2.

Finally, we can add 2 to both sides to get 3y = -y2 + 2, which simplifies to 3y = -(y2 - 2).

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What is 2(11-4)-3^2 answer

Answers

5
2(11-4)-3^2
2(7)-9
14-9
5

Answer:

5

Step-by-step explanation:

Knowledge Needed

Use PEMDAS

Parenthesis

Exponents/Roots

Multiplication & Division

Addition & Subtraction

This means you do parenthesis first, exponents second, etc.

Clearing up a Common Misconception: Multiplication is not is not in front of division, same with addition and subtraction. When it comes to this, the order is left to right.

Question

2(11-4)-3^2

Parenthesis

2(7)-3^2

Exponents

2(7) - 9

Multiplication/Division

14 - 9

Subtraction

5

in r, run a one-sample t-test to determine if the sample of toys below are likely to have come from a population with mean price greater than $10. what is the p-value of the test?

Answers

The sample of toys below are likely to have come from a population with mean price greater than $10 then the p-value of the test is 0.139.

R code

x = c(10,12,15,8,9,10,13,7,20,10)

⇒ t.test(x,mu = 10, alternative = "greater")

on sample t test

data: x

t = 1.1543, df = 9, p value = 0.1391

alternative hypothesis: true mean is greater than 10

95 percent confidence interval:

9.176629 Inf

sample estimates:

mean of x

11.4

Hence we get the required answer.

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3) A man works x hours per weekday
except Saturday when he works y hours. If
he works z hours on sunday how many
hours does he work per week?

Answers

Step-by-step explanation:

Monday to Friday = 5x

Saturday = y

Sunday = z

Per week, he works 5x + y + z hours.

write an equation that can be used to determine the length

Answers

A. The equation that can be used to represent the side a of the cube is a³ = 343.

B. The value of a is 7 units.

How to represent the volume of a cube?

The diagram above is a cube . A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices and 12 edges.

Therefore, the cube has a volume of 343 cm³.

Hence, the equation that can be used to represent the side a of the cube is as follows:

volume of a cube = l³

where

l = side length

Therefore,

volume of the cube = a³

343 = a³

Let's solve the equation.

343 = a³

a³ = 343

cube root both sides

a = ∛343

a = 7 units

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Please help me with math

Answers

Answer:

it is 0.5 percent

Step-by-step explanation:

7 divided by 1400 x 100 = 0.5

758 +630+7+105=1400 ^

Answer: A

the total employees in the company is

                  758 + 530 + 7 + 105 = 1400 (employee)

the percent of the employees walk to work is

                  7/1400.100% = 0,005 . 100% = 0,5%

Step-by-step explanation:

(6)/(a^(2))+(5a^(-2))/(3^(-3))

Answers

Answer:

[tex]\frac{141}{a^{2} }[/tex]

Step-by-step explanation:

[tex]\frac{6}{a^{2} } + \frac{5a^{-2} }{3^{-3} }[/tex]

[tex]\frac{141}{a^{2} }[/tex]

what is the entire surd for 8 root 2

what is the entire surd of 5 root 9

what is the entire surd of 6 root 5

what is the entire surd of 3 root 13
help its urgent!!

Answers

The entire surds are √128, √225,√180, √117 respectively

What is an entire surd?

An entire surd is a surd in which the entire number is under the root sign.

Given here are 8√2,5√9,6√5,3√13

thus their entire roots are  8√2 =√2×64

                                                   = √128

again, 5√9 = √9×25

                   = √225

          6√5=√5×36

                 = √180

Similarly 3√13= √117

Hence, the respective entire surds are √128, √225,√180, √117

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the margin of error of a confidence interval is the error from biased sampling methods. t or f

Answers

False. The margin of error only accounts for sampling variability (the fact that my sample will be different that many other people's and therefore provide different statistics.

What are statistics and their various forms?

Statistics is a technique for interpreting, analyzing, and summarizing data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential. We analyze and understand data based on how it is presented, such as through graphs, bar graphs, or tables.

What are the two primary statistical methods?

Inferential statistics, which draws conclusions from information using statistical tests like the student's t-test, is one of the two main statistical methods used in data analysis. Descriptive statistics presents data using indices like mean and median.

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FILL IN THE BLANK. the starting value of an algorithm used to generate a range of numbers is called the _________.

Answers

The starting value of an algorithm used to generate a range of numbers is called as Seed .

A pseudo-random number generator (PRNG) is a technique that generates random number sequences using mathematical formulas. A series of numbers that closely resemble the characteristics of random numbers are produced by PRNGs. A Seed state is used by a PRNG to start from any starting state. If the beginning of the series is known, many numbers are created quickly and can also be repeated later. As a result, the numbers are accurate and deterministic.

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What is the value of x that would make like a parallel to line b

Answers

Answer:

x = 16

Step-by-step explanation:

If the lines were parallel then (12x - 50) and (8x + 14) are alternate angles and are congruent , then

12x - 50 = 8x + 14 ( subtract 8x from both sides )

4x - 50 = 14 ( add 50 to both sides )

4x = 64 ( divide both sides by 4 )

x = 16

For a and b to be parallel then x = 16

The Sports Boosters are selling souvenir cups at the school football games to raise money for new uniforms. Each souvenir cup sells for $2.25. At the first game, the Boosters collected $123.75 from souvenir cups sales. How many cups were sold at the first game?

Answers

The number of cups sold at the first game is 55.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Cost of each souvenir = $2.25

The total amount collected from the souvenir cups sales = $123.75

The number of cups sold at the first game.

= 123.75/2.25

= 55

Thus,

The number of cups sold is 55.

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a researcher hypothesizes that babies will fall to sleep more quickly if they can hear the sound of a recorded heartbeat. the null hypothesis for this study is that

Answers

Babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat by opposite of null hypothesis.

The researcher has proposed a hypothesis that babies will fall asleep more quickly when they can hear the sound of a recorded heartbeat. To test this hypothesis, the researcher must develop a null hypothesis. The null hypothesis is the opposite of the researcher's hypothesis and states the expected outcome if the researcher's hypothesis is false. In this case, the null hypothesis is that babies will not fall asleep more quickly when they hear the sound of a recorded heartbeat. To test these hypotheses, the researcher must design a study and collect data to determine if the hypothesis is true or false. The researcher must also consider variables that could affect the outcome of the study, such as the age of the babies, the type of recorded heartbeat, and any other factors that could impact the outcome. The results of the study will then be used to either reject or accept the null hypothesis and determine if the researcher's hypothesis is true or false.

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Wyatt' Ga Mileage
\text{Gallon (\(x\))}Gallon (x) \text{Mile (\(y\))}Mile (y)
55 153153
77 214. 2214. 2
1010 306306
1414 428. 4428. 4
How much farther can Camden' car travel on one gallon of ga than Wyatt' car?

Answers

Both automobiles' lines have the equation "y = 3x," and their respective gas mileage is 3 miles per gallon. Wyatt's automobile gets more miles per gallon of gas than Camden's vehicle does.

We must compute the mileage (the distance driven per gallon of fuel) for each automobile using the provided information to determine the difference between the ranges of travel for Camden's and Wyatt's vehicles.

We can determine the miles for Wyatt's automobile using the data points (5, 15) and (7, 21). The equation for the slope of the line connecting these two locations is

(y2 - y1) / (x2 - x1) = (21 - 15) / (7 - 5) = 6/2 = 3

"Y = mx + b" is the equation for the line connecting these two points, where m denotes the line's slope and b its y-intercept. We may determine the equation of the line by adding the values of m as well as the dimensions of one of the endpoints into this equation:

y = 3x + b

15 = 3(5) + b

15 = 15 + b

0 = b

"Y = 3x" is the equation for the line passing thru the points (5, 15) and (7, 21).

We can determine the miles for Camden's automobile using the data points (10, 30) and (14, 42). The equation for the slope of the line connecting these two locations is

(y2 - y1) / (x2 - x1) = (42 - 30) / (14 - 10) = 12/4 = 3

"Y = mx + b" is the equation for the line connecting these two points, where m denotes the line's slope and b its y-intercept. We may determine the equation of the line by incorporating the values of m as well as the dimensions of one of the endpoints into this equation:

y = 3x + b

30 = 3(10) + b

30 = 30 + b

0 = b

"Y = 3x" is the equation for the line passing through the points (10, 30) & (14, 42).

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The question is -

Computes the miles per gallon of your car via the miles traveled and the number of gallons used. Also, if you enter the cost per gallon and how many miles you drive a day, it will estimate your monthly and yearly gas expenses with data points (5, 15) and (7, 21).

Which of the following numbers is divisible by 2, 5, and 10?
A. 101
B. 125
C. 342
D. 550​

Answers

Answer: D. 550

Step-by-step explanation: Among the choices, 550 is the right answer, because simply it is divisible by 2, 5, and 10, unlike the other choices that are not divisible by 2, 5, or 10.

550 ÷ 10 = 55

550 ÷ 5 = 110

550 ÷ 2 = 275

D. 550
550/2 = 275
550/5 = 110
550/10 = 55

The two lines graphed below are not parallel. How many solutions are there to
the system of equations?
SX
#
OA. One solution
OB. Infinitely many solutions
OC. No solutions
OD. Two solutions

Answers

The option that gives the number of solutions to the system of equations is given as follows:

A. One solution.

How to obtain the number of solutions in a system of equations?

For a system of linear equations, the system is composed by multiple lines, and the number of solutions is defined according to the features of the lines.

The possible numbers of solutions are given as follows:

Infinite solutions: the lines are equal, hence they intersect at all points.No solutions: the lines are parallel, meaning that they intersect only at infinity.One solution: the lines intersect at one point.

From the graph given in this problem, we have that the two lines intersect at one point, hence the system of equations has one solution and the correct option is given by option A.

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What is the image of (-4,4) after a dilation by a scale factor of 1/4 centered at the origin?

Answers

Answer:

(-1,1)

Step-by-step explanation:

1/4 (-4) = -1

1/4(4) = 1

(-1,1)

which of the following is a constant in a mathematical model? a) decision variable. b) parameter. c) objective function. d) constraint. e) none of the answer choices are correct.

Answers

Answer:

b). parameter

Step-by-step explanation:

A parameter is a fixed value in the model that is not a decision variable and is not changed during the optimization process. It is used to represent known quantities that are used in the model but are not being optimized. For example, in a linear programming model, the cost of a product may be represented by a parameter, as the cost is not a decision variable and is fixed.

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

Answers

The value of r'(1) and s'(4) is 0 that can be interpreted with the help of the graph that is given in the question.

Derivative in mathematics, the rate of change of a characteristic with recognize to a variable. Derivatives are essential to the answer of troubles in calculus and differential equations. The essence of calculus is the by-product. The by-product is the immediately price of extrade of a characteristic with recognize to certainly considered one among its variables. This is equal to locating the slope of the tangent line to the characteristic at a point

[tex]r(x) = f(g(x))[/tex]therefore the derivative of r is given by [tex]r'(x) = f'g(x)\times g'(x)[/tex]

[tex]r'(1) = f'(g(1))\times g'(1)[/tex] from the graphs

r'(1) = f'4 \times g'1 = (5/4) \times(0) = 0

Similarly s'(1) = g'(f(1))\times f'(1) from the graphs

 f(1)=1.5, f'(1)

=\dfrac{ (3-0)}{(0-2)}

= -3/2 , g'(3/2) = 0

s'(4) = g'(3/2) \times f'(4) = 0(-1.5) = 0

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Complete question:

let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. find r'(1) and s'(4).

The area of the square in the figure below is 16 square inches. Solve for "s", the length of one side. Explain
the solution.

▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️
▪️▪️▪️▪️

Area = 16 in²
A=S²
A=16
s²=16

Answers

Answer:

4

Step-by-step explanation:

[tex]\sqrt{16}[/tex] = 4

The side lengths of the square is 4.

Area = Length times width

Area = 4 x 4

Are = 16

1) The domain of a function can BEST be described as which of the following:
a) The set of all y-coordinates
b) The set of all x-coordinates
d) The x-intercepts of one of the functions
c) Where the graph of the two
functions meet

Answers

Answer: b) The set of all x-coordinates

Step-by-step explanation:

help me pls with this crazy question
plspls pls​

Answers

Answer:

Below

Step-by-step explanation:

You need to draw a diagram of the described situation ( see below) ...then you can see the Law of Cosines will give you the answer:

Determine whether the sequence 1/117659, 1/16807, 1/2401...converges or diverges. If it converges, give the limit.

Answers

The sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

What is the sequence converges or diverges?

A convergent series is a series whose partial sums tend to a specific number, also called a limit. A divergent series is a series whose partial sums, by contrast, don't approach a limit. Divergent series typically go to ∞, go to −∞, or don't approach one specific number.

The given sequence is 1/117659, 1/16807, 1/2401...

Here, common ratio is

1/16807 ÷ 1/117659

= 1/16807 × 117659/1

= 117659/16807

= 7

Now, 1/2401 ÷ 1/16807

= 1/2401 × 16807/1

= 16807/2401

= 7

Hence, the sequence is a geometric sequence with a common ratio of 7. Since, the common ratio is greater than 1, the sequence diverges.

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Shade 1 circle. Shade 9/4 more

Answers

Answer:

For the first one, shade in 1 circle at the start

Then shade in 9/4 more, so you would fully shade 2 more because every 4 equals 1.

Then shade 1 quarter of the next circle, or 1 of the 4 portions of the next circle.

____________________________________

For the second one, shade in 2 circles at the start

Then shade 8/5 more, so fully shade one more because every 5 numbers equals one shaded circle.

Then shade 3/5 of the next circle. So you would shade 3 of the 5 portions of the circle

A(-5,1) B(-2,4) C(1,-1)
Translate the triangle 4 units left and 6 units up. PLSSS HELP ME THANK YOU

Answers

The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

What are transformations?

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, a triangle A(-5,1) B(-2,4) C(1,-1) is being translated 4 units left and 6 units up

To translate the point P(x, y), a units left and b units up, use P'(x-a, y+b).

Therefore, coordinates for A'B'C' are =

A(-5, 1) = A'(-5-4, 1+6) = (-9, 7)

B(-2, 4) = B'(-2-4, 4+6) = (-6, 10)

C(1, -1) = C'(1-4, -1+6) = (-3, 5)

Hence, The triangle after translation will have coordinates A'(-9, 7), B'(-6, 10) and C'(-3, 5)

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Which of the following is not a type of inheritance? (a) Multiple (b) Multilevel (c) Distributive (d) Hierarchical Consider this conditional statement.If a person is a professional athlete, then the person is a professional hockey player.(a) Give the contrapositive of the statement.If (Choose one)then (Choose one)(b) Give the converse of the statement.If (Choose one)then (Choose one)(c) Give the inverse of the statement.If (Choose one)then (Choose one) bones offer unique evidence about the history of adaptations the human body has undergone.Which sentence from the article provides the BEST support to the statement above?(A) Numbers in biology help us discover new insights, so much so that researchers have set up a database and a handbook of many "bionumbers" across many species, collected from the scientific literature.(B) Feeding this model with data on the proxy network, we calculated that 23 trillion connections exist in the osteocyte network of the human body.(C) We can use this information to understand how bones have evolved to become the self-detecting andself-regulating biomaterial we own; that's something that can't be done with brain fossils.(D) In the meantime, the next time you stand up, walk around or do weights, think about how the network of osteocytes in your bones are responding to the stresses and strains you are putting it through. 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Other bones also evolved, becoming lighter, especially in the joints, as a result of both dietary changes and a less active lifestyle.What is the main idea of the passage? a mass m starts at rest and then falls down distance l, where it contacts an unstressed spring of negligible mass. if the spring compresses for a maximum of l/2, find the force constant of the spring in terms of mg/l. a mobile device is exhibiting unusual symptoms: there are pops, creaks, heat, wobbling when laid on a flat surface, and even gaps between the frame and screen. what do you expect the problem to be? Maria is going to make some flapjacks. Here are four of the ingredients that she will use. 175 g butter 175 g syrup 175 g sugar 330 g oats What percentage of these four ingredients is oats? Give your answer correct to 3 significant figures. Simplify the expression.-2.2+0.4f-14-6 Simplify your answer. Use integers or decimals for any numbers in the expression which of the following is the correct equation for total mixed costs under the linearity assumption? a)Total fixed cost + (variable cost per unit x units of activity) b) total variable cost + (fixed cost per unit x units of activity) c) (total fixed cost x units of activity) + total variable cost d) (total fixed cost x units of activity) + (total variable cost x units of activity) The motion of the piston in an automobile engine is oscillatory as the piston travels back and forth. if the piston makes 2,000 complete cycles every minute, what is the period of the motion of the piston? question content area top part 1 the personal distribution of income in the united states shows that question content area bottom part 1 a. the poorest 20 percent of individuals receive approximately 20 percent of total income. b. the richest 20 percent of individuals receive approximately 50 percent of total income. c. income is equally distributed. d. the richest 20 percent of individuals receive approximately 25 percent of total income. e. the poorest 60 percent of individuals receive approximately 50 percent of total income. Aaron, Inc. is a nonprofit corporation that collects and distributes food for needy families. Aaron, Inc. also operates a small grocery store for profit. Which of the following statements is true?A) The income from the collection and distribution of food and the income from grocery store are taxable.B) No income from either of the activities is taxable.C) Only the income from the collection and distribution of food is taxable.D) Only the income from the grocery store is taxable. Which of the following will lead to a compile-time error? Mark all that apply.1if (a > b) ( c = 0; )2if (a > b) { c = 0; }3if (a > b) c = 0 else b = 0;4if (a > b) c = 0;5if (a > b) then c = 0;6if a > b { c = 0; }7if a > b, then c = 0 Determine the number and type of solutions for the equation 5x^2x3=0-Two different irrational-number solutions-Two imaginary-number solutions-One repeated rational-number solution-One repeated irrational-number solution-Two different rational-number solutions a nurse is providing care for a client diagnosed with attention deficit hyperactivity disorder (adhd) who has been taking methylphenidate for several months. when monitoring for potential adverse effects, the nurse should include what assessments? a piston a has a diameter of 0.81 cm, as shown. a second piston b has a diameter of 4.0 cm. a b 578.8 n f in the absence of friction, determine the magnitude of the force f~ necessary to support the 578.8 n weight. answer in units of n. A premium pizza is comprised of exactly 40 ounces of toppings. The available toppings are listed below with their corresponding weight (in ounces). There can be multiple entries of each topping, as long as the total weight is equal to 40 ounces. [18 points] For example, a pizza can contain 1 topping of pepperoni, 2 toppings of sausage, 1 topping of bacon, and 2 toppings of onion:14+210+16+25=4014+210+16+25=40(ounces) A pizza cannot contain 7 toppings of bacon:7 6=42>40A pizza cannot contain only 3 toppings of sausage :3*10=30 heating solid potassium chlorate in the presence of a manganese dioxide catalyst produces potassium chloride and oxygen gas balanced equation Select the stage of piagetian development in which children develop the ability to understand conservation.