Use the graph of f below. Assume the entire function is graphed below.Find ƒ(−1).ƒ(−1) = 0ƒ(−1) = −3ƒ(−1) = −1ƒ(−1) = −5

The area of a rhombus can be found by multiplying the length of one of its sides by the height of a perpendicular line from the center to a side.

The height of the rhombus is the distance from the center of the rhombus to one of its sides, perpendicular to that side.

The formula for the area of a rhombus can be written as A = s*h, where A is the area, s is the length of one of the sides of the rhombus, and h is the height of the rhombus.

It's important to note that this method of finding the area of a rhombus without diagonals can only be used when the rhombus is a regular polygon, a polygon with all sides and angles congruent. When the rhombus is not a regular polygon, then you can find the area by using the diagonals.

Additionally, it's important to mention that a rhombus can be defined as a parallelogram with all sides congruent or a square with its angles not 90 degrees.

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Answer:

300 + 20x = 35x

Step-by-step explanation:

if you need to know how many months it is when the prices are even the answer is 20

Answer:

esxcdrfvtgbhyjnkmlmjnhbgvtfcrdfvgbhnjmk

Step-by-step explanation:

The probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

The probability of two independent events occurring simultaneously: rolling an odd number on a die and getting a head on a coin toss. To find the probability, we'll multiply the probabilities of each event.

1. Probability of rolling an odd number on a die:
There are 3 odd numbers (1, 3, 5) and 6 possible outcomes (1, 2, 3, 4, 5, 6). So the probability is 3/6, which simplifies to 1/2.

2. Probability of getting a head on a coin toss:
There are 2 possible outcomes (heads or tails), and 1 of them is heads. So the probability is 1/2.

Now, we'll multiply the probabilities: (1/2) * (1/2) = 1/4.

So the probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

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The y intercept means that $8 must be paid to step into the cab.

A linear equation is of the form:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

Let y represent the total pay for x miles

Since $8 per ride and $0.35 per mile, hence the equation is:

y = 0.35x + 8

The y intercept means that $8 must be paid to step into the cab.

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To answer the questions related to the probability of droplet sizes, we'll use the normal distribution with the given mean and variance. Let's solve each part of the question:

a. Probability that the size of a single droplet is less than 1500 μm:

To find this probability, we need to calculate the cumulative distribution function (CDF) of the normal distribution up to 1500 μm. We'll use the z-score formula:

z = (x - μ) / σ

Where:

x = droplet size (1500 μm)

μ = mean (1050 μm)

σ = standard deviation (square root of the variance, which is sqrt(22500 μm))

Calculating the z-score:

z = (1500 - 1050) / sqrt(22500)

= 450 / 150

= 3

Using the z-score table or a calculator, we can find that the cumulative probability corresponding to z = 3 is approximately 0.9987.

Therefore, the probability that the size of a single droplet is less than 1500 μm is approximately 0.9987.

b. Probability that the size of a single droplet is between 1000 and 1500 μm:

Similar to part (a), we need to calculate the cumulative probability for two values: 1000 μm and 1500 μm. Let's calculate the z-scores for both values:

For 1000 μm:

z_1000 = (1000 - 1050) / sqrt(22500)

For 1500 μm:

z_1500 = (1500 - 1050) / sqrt(22500)

Once we have the z-scores, we can find the corresponding cumulative probabilities using the z-score table or a calculator. Then, we subtract the probability for 1000 μm from the probability for 1500 μm to find the probability between the two values.

c. Characterizing the smallest 2% of all droplets:

To characterize the smallest 2% of droplets, we need to find the droplet size that corresponds to the 2nd percentile of the normal distribution. In other words, we need to find the value x such that the cumulative probability up to x is 0.02. We can use the z-score formula to solve for x:

z = (x - μ) / σ

We'll find the z-score corresponding to the cumulative probability 0.02 using the z-score table or a calculator. Then, we can rearrange the formula to solve for x:

x = z * σ + μ

d. Probability that at least one of five independently selected droplets exceeds 1500 μm:

To find this probability, we'll use the complement rule. The probability that none of the five droplets exceed 1500 μm is the complement of the probability that at least one of them exceeds 1500 μm. We can calculate this probability by subtracting the probability of none from 1. We'll use the probability obtained in part (a) for a single droplet.

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Answer:

I think it's 42.4 hope this helps

Answer:

42.4 hope this helps

Step-by-step explanation:

Answer:

x=y-2

y=x-2

Step-by-step explanation:

Answer:

i think its 7 units but im not completely sure

Step-by-step explanation:

Answer:

\(Area = (x - 5)^2\)   and    \(Area = x^2 - 10x + 25\)

Step-by-step explanation:

Given

\(Length = (x - 5)\ units\)

Required

Determine the area of the square

\(Area = Length * Length\)

\(Area = (x - 5) * (x - 5)\)

This can be expressed as

\(Area = (x - 5)^2\)

Or:

\(Area = (x - 5) * (x - 5)\)

Open brackets

\(Area = x(x -5) -5(x - 5)\)

\(Area = x^2 - 5x - 5x + 25\)

\(Area = x^2 - 10x + 25\)

Hence, the expressions are:

\(Area = (x - 5)^2\)   and    \(Area = x^2 - 10x + 25\)

Answer:

Step-by-step explanation:

State your research hypothesis and alternate hypothesis.

Collect data in a way designed to test the hypothesis.

Perform an appropriate statistical test.

Decide whether to keep or reject your hypothesis.

hope this helps

Answer:

greater than

Step-by-step explanation:

positive is higher than negative

Answer:

see explanation

Step-by-step explanation:

the 3 interior angles of Δ ABC sum to 180°

sum the 3 angles and equate to 180

x - 44 + x + 48 = 180

2x + 4 = 180 ( subtract 4 from both sides )

2x = 176 ( divide both sides by 2 )

x = 88

Then

∠ A = 48°

∠ B = x = 88°

∠ C = x - 44 = 88 - 44 = 44°

Answer:

B

Step-by-step explanation:

Answer:

B. \(\frac{x^2}{3^2} +\frac{y^3}{2^2} =1\)

Step-by-step explanation:

The product of a number and 14 plus 10 is written in an algebraic expression as 4x + 10.

Given the phrase in the question;

"The product of a number and 14 plus 10"

Translation

Let the number be represented by 'x'

The product of a number and 14 ⇒ x × 14 = 4x

Plus 10 ⇒ + 10

Now lets combine the terms.

4x + 10

Therefore, the product of a number and 14 plus 10 is written in an algebraic expression as 4x + 10.

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The probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

To find the probability of selecting a red six or a black king from a 52-card deck, we need to determine the number of favorable outcomes (red six or black king) and divide it by the total number of possible outcomes (52 cards).

There are 2 red sixes (hearts and diamonds) and 2 black kings (spades and clubs) in a deck.

Since we want to select either a red six or a black king, we can add these numbers together to get a total of 4 favorable outcomes.

Since there are 52 cards in a deck, the total number of possible outcomes is 52.

Now, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes: Probability = Number of favorable outcomes / Total number of possible outcomes Probability = 4 / 52 Probability = 1 / 13

Therefore, the probability of randomly selecting a red six or a black king from a 52-card deck is 1/13.

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The radius of the spherical part is 3 inches and the length of the tube is 21 cm.

The capacity of a cylinder, which determines how much material it can hold, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, can be immersed in it uniformly.

Given that the volume when the water is fully dipped is 4554 / 7 cm³. The volume when the length is 9 cm empty is 396 cm³.

The two equations can be formed as below:-

4554 / 7 = πr²l + (2/3)πr³

396 = πr²( l - 9 ) + (2/3)πr³

Subtract the second equation from the first,

( 4554 / 7 ) - 396 = 9πr²

9πr² = 254.5

r² = 9

r = 3 cm

The length will be calculated as:-

4554 / 7 = πr²l + (2/3)πr³

4554 / 7 = π( 3 )²l + (2/3)π(3)³

l = 21 cm

Therefore, the tube's length is 21 cm, and the spherical part's radius is 3 inches.

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The time at which Liz will catch up with Mandy is 1 pm.

Here we have to find the time when Mandy and Liz meet.

Let t be the time taken by Liz to meet Mandy

Given:

Speed of Mandy = 30mile/hr

Speed of Liz = 36 miles/hr

Formula:

Speed = Distance/ time

Distance by Mandy = 30t

Distance by Liz = 36( t - 20/60)

As the distance covered by both is the same. So we have

30t = 36( t - 1/3)

6t = 12

t = 2

2 hours past 11 am is 1 pm.

Therefore Liz catch Mandy at 1 pm.

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Answer:

x+6+x-y = 2x-y+6

Step-by-step explanation:

The type of triangle is a Right isosceles triangle.

An isosceles triangle is a type of triangle with two angles equal and corresponding sides equal. A right angle triangle is a type of triangle in which one if it's sides is exactly 90°.

Therefore an Isosceles Right Triangle is a right triangle that consists of two equal length legs.

This means one side must be 90° and the other two angles must be equal.

Therefore the value of the other two angles =

2x +90 = 180

2x = 180-90

2x = 90

x = 90/2

x = 45°

therefore each side will be 45°

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Answer:

NO THIS IS NOT A FUNCTION

Step-by-step explanation:

Every x should only have one y, but 3.45 has two y values, which means this table is NOT a function.

Answer:

Step-by-step explanation:

Let the price of the house be P .

10 % of P is demanded as down payment

10 % of P  = P x 10 / 100

= P / 10

This down-payment = 50000

P / 10 = 50000

P = $5,00,000 .

Price of house = $5,00,000

Answer:

Corresponding angles of parallel lines cut by a transversal are congruent.

Answer:

a-2

Step-by-step explanation:

By using a maclaurin series to obtain the maclaurin series for the given function is  F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)

Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)

\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)

We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)

\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)

\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)

This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.

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The ordered pair that is a member of both equations is (-27/7, -11/7).

To find the ordered pair that is a member of both equations, we need to solve the system of equations. We can do this by using the elimination method.

First, we will multiply the first equation by 2 and the second equation by -4 to eliminate the x variable:

-4x - 8y = 28
-20y - 8x = 16

Next, we will add the two equations together:

-28y = 44

Now we can solve for y:

y = -44/28
y = -11/7

Now we can plug this value of y back into one of the original equations to solve for x:

-2x - 4(-11/7) = 14
-2x + 44/7 = 14
-2x = 14 - 44/7
-2x = 54/7
x = -27/7

Therefore, the ordered pair that is a member of both equations is (-27/7, -11/7).

Answer: The ordered pair that is a member of both equations is (-27/7, -11/7).

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Answer:

It's 0.20

Step-by-step explanation:

The distance between the base of the model tree to the edge of the model bench is  0.2 yard.

A diagram is attached which describe the statement of question.

From diagram attached below, It is observed that both triangles are similar triangles.

The ratio of corresponding sides are same in the similar triangles.

the distance between the base of the model tree to the edge of the model bench is  x.

                     \(\frac{5}{x}=\frac{10}{0.4}\\ \\ 10x=2\\\\x=2/10=0.2yard\)                

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