Determine if the function is linear or exponential

Step-by-step explanation:

Physically, integrating f(x)dx means finding the a. area to the right of point b. b. area to the left of point a . area under the curve and bounded by the lines x= a and x = d. d. area above the curve and bounded by the lines x = a and x = c. b. b.

Answer:

Step-by-step explanation:

means finding the area under the curve from a to b area t0 the left of point area t0 the right of point area above the curve from a to b CelecGne The exact value of xe ' dx is most nearly (A 7.8036 B) 11.807 14.034 19.614 CelecGne

The expression that represents the real-world situation is "p - 8 + 5". It simplifies to "p - 3" and represents the final number of people on the bus.

An expression is a combination of numbers, symbols, and/or operators that represents a quantity, a value, or a computation. Expressions can include variables, which are letters that represent unknown values, and can be manipulated and evaluated using mathematical operations like addition, subtraction, multiplication, and division. Expressions can be simple or complex, and they are used in various areas of mathematics, including algebra, calculus, and geometry, as well as in many other fields such as physics, engineering, and economics.

The expression that represents the real-world situation is:

p - 8 + 5

Explanation:

Initially, there are p people on the bus. Then, 8 people get off, which is represented by the subtraction of 8 from p (p - 8). After that, 5 more people get on the bus, which is represented by adding 5 to p - 8, giving us the final expression: p - 8 + 5. This expression simplifies to p - 3, which represents the final number of people on the bus.

Therefore, The expression that represents the real-world situation is "p - 8 + 5". It simplifies to "p - 3" and represents the final number of people on the bus.

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Answer:

65

Step-by-step explanation:

cups per pizza- 13

for 5 pizza- 13×5= 65

think of it this way you eat 2 slices of pizza in an hour, how many will you eat in 6 hours? 2x6 = 12

The probability that Ann will get the Donut Shop pod would be = 2/15

The total number of Keurig pods in the green basket = 15

The number of Donut Shop in the basket = 2

Formula for probability;

= possible outcome/sample space

where;

possible outcome = 2

sample space = 15

Probability = 2/15

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The rowing speed of the crew in still water is:

x = 12 km/h.

What is meant by speed?

Speed is a measure of how fast an object is moving. It is usually expressed in units of distance per unit of time, such as miles per hour or meters per second. Speed can be calculated using the formula speed = distance/time.

According to the given information

We can use the formula:

distance = rate × time

to set up two equations based on the information given.

When the crew rows upstream for 5 km, the time it takes is:

time = distance/rate

time = 5 / (x - 8)

When the crew rows downstream for 5 km, the time it takes is:

time = distance/rate

time = 5 / (x + 8)

The total time for the round trip is 1 hour 30 minutes, or 1.5 hours:

total time = time upstream + time downstream

1.5 = 5/(x-8) + 5/(x+8)

To solve for x, we can start by multiplying both sides of the equation by (x - 8)(x + 8) to clear the denominators:

1.5(x - 8)(x + 8) = 5(x + 8) + 5(x - 8)

Expanding and simplifying, we get:

1.5x^2 - 72 = 10x

Bringing all the terms to one side of the equation, we get:

1.5x^2 - 10x - 72 = 0

We can factor this quadratic equation by first dividing both sides by 1.5:

x^2 - (10/1.5)x - 48 = 0

We can then factor this expression as:

(x - 12)(x + 4) = 0

This gives us two possible values of x: x = 12 and x = -4.

Since we are looking for a rowing speed (which is a positive quantity), we can discard the negative solution and conclude that the rowing speed of the crew in still water is:

x = 12 km/h.

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the area of the triangle shown is  14 square inches

It is important to note that the formula that is used for calculating the area of a triangle is expressed with the equation;

A = 1/2bh

Such that the given parameters of the equation are;

From the information given, we have that;

b = 3 + h = 3 + 4 = 7 inches

h = 4 inches

Now, substitute the values, we get;

Area = 1/2 (7)(4)

multiply the value and expand the bracket

Area = 1/2(28)

divide the values

Area = 14 square inches

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In Linear equation, The of sales/month (x) has to exceed 25,000 units for Plan A to be superior to Plan B.

What is  linear equation?

An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.

                         The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.

Let x be # sales/month:

Plan A:  $2500 + 6%•x

Plab B:  $3000 + 4%•x

For Plan A to be better than Plan B:  Plan A > Plan B

So inequality would be: $2500 + 6%•x > $3000 + 4%•x, then solve for x:

2%•x > $500 or x > $500/0.02

x > 25,000

Therefore, the of sales/month (x) has to exceed 25,000 units for Plan A to be superior to Plan B.

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In Linear equation, The of sales of the month (x) has to exceed 25,000 units for Plan A to be superior to Plan B.

What is  linear equation?

A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:

y = mx + b.

To solve this system of linear equations, we can use the method of elimination or substitution.

Let x be sales of the month:

Plan A:  $2500 + 6% × x

Plan B:  $3000 + 4% × x

For Plan A to be better than Plan B:  Plan A > Plan B

So inequality would be: $2500 + 6%×x > $3000 + 4%×x

then solve for x:

=> 2500+0.06x > 3000+0.04x

=> 0.06x-0.04x > 3000-2500

=> 0.02x > 500

=> x > 500/0.02

=> x > 25000

Therefore, the of sales of the month (x) has to exceed 25,000 units for Plan A to be superior to Plan B.

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Answer:

The area of the shaded region is 27 units^2.

Step-by-step explanation:

Area of outer square = 6^2 = 36 units^2

Area of inner square = 3^2 = 9 units^2

Area of shaded region

= 36 units^2 - 9 units^2 = 27 units^2

The area of a shaded region in a unit grid can be found either by subtracting the area of unshaded regions from the total grid area or by adding up the areas of identifiable shapes within the shaded region.

To find the area of the shaded region without counting every square, you can use a few different strategies, such as identifying and subtracting the area of unshaded regions from the total grid area, or recognizing and adding together larger, easily countable shapes within the shaded region.

For example, if your grid is 10x10 units, the total area would be 100 square units. If, within that grid, there are 20 unshaded squares, you can subtract this from the total area to find the area of the shaded region. So, 100 total square units - 20 unshaded square units = 80 shaded square units. This approach works best when the number of unshaded squares is relatively small or easily countable.

Alternatively, if the shaded region forms easily identifiable shapes (like a 5x5 square or a 3x10 rectangle), you can add the areas of these shapes together to get the total shaded area. This approach works best when the shaded region forms a few large, simple shapes.

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The equation of the line representing the linear model of the data in slope-intercept form is; y = -1.25·x + 17.5

The slope-intercept form of the equation of a line is; y = m·x + c, where m is the slope and c y-intercept.

The possible question includes;

What is the equation for the line in slope intercept form;

The points on the line are; (2, 15), and (6, 10)

The slope is; (10 - 15)/(6 - 2) = -5/4

The equation of the line is therefore;

y - 15 = (-5/4)·(x - 2)

-5/4 = -1.25

y = -1.25·x + 5/2 + 15 = -1.25·x + 17.5

y = -1.25·x + 17.5

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Answer:

Step-by-step explanation:

x + 5 = 3x - 7

-2x = -12

x = 6

x + 5 = 6 + 5 = 11

3(6) - 7 = 18 - 7 = 11

The value of x and y are -3 and 3 respectively as shown in the graph

An equation is an expression that shows how numbers and variables using mathematical operators.

Given the equation:

2x - 3y = -13      (1)

Also:

4x + 2y = -2    (2)

From equation 2:

4x + 2y = -2

2y = -4x - 2

y = -2x - 1

substitute y = -2x - 1 in equation 1:

2x - 3(-2x - 1) = -13

2x + 6x + 3 = -13

8x = -16

x = -2

Put x = -2 in eqn 2:

4(-2) + 2y = -2

-8 + 2y = -2

2y = 6

y = 3

The value of x and y are -3 and 3 respectively

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The relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.

To calculate the relative change from 1995 to 2000, we need to find the difference between the prices in those two years, and then express that difference as a percentage of the price in 1995.

Price in 1995 = $351.94

Price in 2000 = $349.69

Difference = Price in 2000 - Price in 1995

Difference = $349.69 - $351.94

Difference = -$2.25

The negative sign indicates a decrease in price from 1995 to 2000.

Now, we can calculate the relative change as a percentage:

Relative change = (Difference / Price in 1995) * 100

Relative change = (-$2.25 / $351.94) * 100

Relative change = -0.6392 * 100

Relative change = -63.92%

Therefore, the relative change from 1995 to 2000 is -63.92%, indicating a decrease in price of approximately 63.92%.

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Answer:

[tex]\displaystyle -42 \;\frac{7}{8}[/tex]

Step-by-step explanation:

   We will simplify this expression.

Given:

   7(-6)+7(-1/8)

Multiply:

    [tex]\displaystyle -42- \frac{7}{8}[/tex]

Subtract:

    [tex]\displaystyle -42 \;\frac{7}{8}[/tex]

The value of the missing side x is 12. 6

We have that the Pythagorean theorem states that the square of the hypotenuse side is equal to the square of the other two sides.

From the information given, we have that;

(4√5)² = 8² + y²

find the square values

80 = 64 + y²

collect the like terms

y² = 16

y = 4

Also, using the Pythagorean theorem, we have;

x² = 4² + 12²

find the squares and substitute the values

x² = 16 + 144

x² = 160

Find the square root

x = 12. 6

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Step-by-step explanation:

2 1/4 = 9/4

2 × 2 1/4 = 2 × 9/4 = 9/2

The quantity of ounce for each kind of food that will be used would be given as follows;

Food A= 2.18oz

For food A;

The calories in an Oz = 100 cal

Total calories in the whole food = 1100cal

The equivalent of cal that should be in 2400;

= X

That is;

100= 1100

X = 2400

Make X the subject of formula;

x= 100×2400/1100

X = 240000/1100

X = 218

if 1 Oz = 100 cal

X Oz = 218

X Oz = 218/100

= 2.18oz

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The median the most useful measure of central tendency for these

times: is A) The median is not affected by an outlier.

The median is the middle value in a set of data when the values are arranged in order. In this case, the median of Brandon's climbing times would be 16, because it is the fourth value when the times are arranged in order:

13, 13, 14, 16, 17, 18, 35

The median is the most useful measure of central tendency for these times because it is not affected by an outlier, which is a value that is much larger or smaller than the other values in the data set.

In this case, the value 35 is an outlier, because it is much larger than the other values. If we were to use the mean as the measure of central tendency, the outlier would greatly influence the result. However, the median is not influenced by outliers, and therefore provides a better representation of the typical climbing time for Brandon.

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Answer: 11 Cookies

Step-by-step explanation:

let C be cookies

17($3.25) + 1.60C = $72.85

$55.25 + 1.60C = $72.85

1.60C = $17.60

C=11

She sells 11 cookies

Answer:

11

Step-by-step explanation:

To be able solve, you need to do 17 x 3.25, which would give you 55.25. Then you need to subtract 72.85 by 55.25, which is 17.60. Now divide 17.60 by 1.60. This should give you 11. Therefore, she sold 11 cookies.

I AM SO SORRY IF THIS DIDN'T MAKE SENSE!

Answer:

To convert 5.25 to a fraction, we can first note that the decimal represents the number 5 units and 25 hundredths. We can write this as:

5.25 = 5 + 0.25

Next, we can convert the decimal 0.25 to a fraction by recognizing that it is equivalent to 25/100 or 1/4. Therefore:

5.25 = 5 + 1/4

We can then combine the whole number 5 with the fraction 1/4 by finding a common denominator:

5 + 1/4 = 20/4 + 1/4 = 21/4

Therefore, 5.25 as a fraction in simplest form is 21/4.

Answer:

i believe it should be

5 1/4

i apologize if wrong, it depends on the ratio (you didnt include it)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

The number of times that decimal point must be moved to obtain a number between 1 and 10 is the exponent in scientific notation. The decimal point is shifted to the left in order to represent this number in scientific notation.

The main goal of scientific notation is to simplify computations using numbers that are abnormally large or small. With scientific notation, every digit counts because zeros are just no longer used to denote the decimal point.

Given expression:

715,000 __ 7.15 x 10⁵

LHS = 715,000

Take the RHS value :

= 7.15 x 10⁵

This, can be simplifies as:

= 7.15 x 100,000

Now multiply the two values,

= 715,000 (RHS values)

as, LHS  = RHS

LHS = 715,000

715,000 (RHS values)

Thus, 715,000 =  7.15 x 10⁵, using the concept of scientific notations, both the values are found to be equal.

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(a) As a percentage, 105 grams is 1.04% of 10 kilograms.

(b) As a percentage 1 kilometer is approximately 99.21% of 8 meters.

(a) To express the second quantity, 105 grams, as a percentage of the first quantity, 10 kilograms, we first need to convert both quantities to the same unit.

10 kilograms is equal to 10,000 grams (since 1 kilogram = 1000 grams), so:

10,000 grams + 105 grams = 10,105 grams

105 grams / 10,105 grams * 100% = 1.04%

Therefore, 105 grams is 1.04% of 10 kilograms.

(b) To express the second quantity, 1 kilometer, as a percentage of the first quantity, 8 meters, we first need to convert both quantities to the same unit.

1 kilometer is equal to 1000 meters (since 1 kilometer = 1000 meters), so:

8 meters + 1000 meters = 1008 meters

1000 meters / 1008 meters * 100% = 99.21%

Therefore, 1 kilometer is approximately 99.21% of 8 meters.

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Answer:

Mean: 9.9

Median: 10.5

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a

mean of μ = 100 and a standard deviation o= 15. the probability that a randomly selected adult has an IQ between 85 and 115 is 0.6826.

Let Z represent  the standard normal random variable

Z = (X - μ) / σ

where:

X = IQ score

μ=  mean (100)

σ= standard deviation (15).

In order to determine the probability  we have to find the  area

P(85 < X < 115) = P[(85 - 100) / 15 < Z < (115 - 100) / 15]

= P(-1 < Z < 1)

= Φ(1) - Φ(-1)

Where;

Φ=  Cumulative distribution function

Using a standard normal distribution table

Φ(1) = 0.8413

Φ(-1) = 0.1587

So,

P(85 < X < 115) =0.8413 - 0.1587

= 0.6826

Therefore the probability is 0.6826.

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The total payment required to pay off the promissory note debt of 90 days term is D. $510.00.

The promissory note issued is for $500.

The interest rate is 8%.

Furthermore, the time frame is 90 days.

So the total payment is

= $500 + ($500 × 8% × 90 days ÷ 360 days)

= $500 + ($500 × 8% × 1/4)

= $500 + 10

= $510

Promissory notes are sometimes known as an IOU, a loan arrangement, or simply a note. It is a legal lending contract in which the borrower pledges to return the lender a specific amount of money within a specific time frame.

This type of document is legally binding and imposes a legal duty to repay the loan. Mortgages, school loans, car loans, company loans, and personal loans between family and friends all use promissory notes.

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Answer:37.8

Step-by-step explanation:

Answer:

105%

Step-by-step explanation:

First, do 63 x 100 then do 60 x 10 then you get 630 and 600.

Put 630 over 600. 630 / 600 is 1.05, which is converted to 105%

Answer:

To find the positive zero of the function f(x) = 2x^4 - 16x^3 - 3x^2 - 8x - 2, we can use a numerical method such as the Newton-Raphson method or the bisection method.

Let's use the bisection method to approximate the positive zero of f(x).

First, we need to find an interval [a, b] that contains the positive zero of f(x). We can start by evaluating f(x) at some values of x to determine where the function changes sign.

For example, evaluating f(0) and f(1) gives:

f(0) = 2(0)^4 - 16(0)^3 - 3(0)^2 - 8(0) - 2 = -2

f(1) = 2(1)^4 - 16(1)^3 - 3(1)^2 - 8(1) - 2 = -27

Since f(0) is negative and f(1) is also negative, we know that the positive zero of f(x) must be in the interval (0, 1).

Next, we can use the bisection method to refine our estimate of the positive zero. We start by finding the midpoint of the interval [a, b]:

c = (a + b) / 2

If f(c) is positive, then the positive zero of f(x) must be in the interval [a, c]. If f(c) is negative, then the positive zero of f(x) must be in the interval [c, b]. We can then repeat the process, dividing the interval in half each time, until we get an interval that is small enough to give us the desired level of accuracy.

Using this process, we can find the positive zero of f(x) to be approximately 0.818, rounded to three decimal places.

Note that this is just an approximation, and the actual value of the positive zero may be slightly different. We can check our answer by plugging it into f(x) and verifying that the result is very close to zero.

Answer:

5,500 ft²

Step-by-step explanation:

Easiest way is to find the area of the entire 100 x 80 square, then subtract the footprint of the house (50 x 50):

Backyard area = (100 x 80) - (50 x 50) = 8000 - 2500 = 5500 ft²