Let f be a function. Use each statement to find the coordinates of a point on the graph of f. f (5) = 9

Step-by-step explanation:

9^8/9^2 ➡ 9^8-2 = 9^6 to divide this expression we subtract the bottom number from the top number

5^2 × 5^3 ➡ 5^2×3 = 5^6 to multiply this expression we multiply the powers

Answer:

2) 531,441

3) 3,125

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Given that 5 pounds of rice at a store cost $6.50.

Then 1 pounds of rice at a store cost = $6.50/5= $1.3

So the equation for the cost can be written as:

C=1.3P just like we write equation y=mx

Now we have to graph the cost C, vs pounds of rice.

Variable for Pounds of rice is not given so let it be "P"

So let's make a table for number of pounds (P) and cost (C) the we can graph the points from that table to get the final graph.

Attached graph is the final graph.

Answer:

2135

Step-by-step explanation:

610 divided by to is 305 so the half of the hours the plane flys 305 miles.

610 times three equals 1830.

1830 plus 305 equals

Answer:

2135 miles

Step-by-step explanation:

ok so the plane is going at a speed of 610 mph

1 hour = 610 miles

this is a whole break down of what goes on in my head

610 x 3.5 = ?

600 x 3 = 1800

600 x .5 = 300

10 x 3 = 30

10 x .5 = 5

1800 + 300 + 30 + 5 = 2135

the plane will fly 2135 miles in 3.5 hours

Answer:

1 R1

Step-by-step explanation:

because 4 cant be fully divided by five so there has to be a remainder.

Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

root 10, 3 root 10

Step-by-step explanation:

Let the length of the shorter side be x

Hence,

the length of the longer side= 3x

Length of the diagonal= 10 cm

We know that the sides of the triangle intersect at right angles...

Hence,

By using the pythagoreas property...

[tex] {x}^{2} + {(3x)}^{2} = {10}^{2} \\ {x}^{2} + 9 {x}^{2} = 100 \\ 10 {x}^{2} = 100 \\ {x}^{2} = 10 \\ x = \sqrt{10} [/tex]

Hence,

length of the shorter side=

[tex] \sqrt{10} [/tex]

The length of the longer side =

[tex]3 \sqrt{10} [/tex]

Answer:

3.6 miles in 90 mins

Step-by-step explanation:

REMEMBER PROPORTIONS

SO IN THIS CASE THIS IS HOW YOU WRITE IT:

[tex]\frac{2 miles = 50 mins}{x=90 mins}[/tex]

So this means in 50 minutes he covered 2 miles and in 90 minutes she covered x miles.

To find x cross multiply :

2 miles * 90 = 180 and x * 50 = 50x

That means 180 = 50x

Divide both sides by 50:

[tex]\frac{180}{50}[/tex]=[tex]\frac{50x }{50}[/tex]

3.6 = x

180 divided by 50 is 3.6 and 50x divided by 50 is x.

THUS HE TRAVELLED 3.6 MILES IN 90 MINUTES.

HOPE IT REALLY HELPED

HAVE A GOOD NIGHT/DAY

The closest answer is 80 cupcakes per minute, so the correct option is .8. The closest answer is 165 minutes, so the correct option is 165.

The throughput capacity of the icing stage can be calculated by dividing the number of cupcakes in a batch (100) by the time required to process each cupcake (1.25 minutes).

Throughput capacity = Number of cupcakes in a batch / Time to process each cupcake

Throughput capacity = 100 cupcakes / 1.25 minutes

Throughput capacity = 80 cupcakes per minute

The closest answer is 80 cupcakes per minute, so the correct option is .8.

The throughput time for a batch of cupcakes is the time required to process the entire batch, including the setup time.

Throughput time = Time for setup + (Number of cupcakes in a batch * Time to process each cupcake)

Throughput time = 40 minutes + (100 cupcakes * 1.25 minutes per cupcake)

Throughput time = 40 minutes + 125 minutes

Throughput time = 165 minutes

The closest answer is 165 minutes, so the correct option is 165.

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The expression that represent the new price is p(0.5 + 1).

Lora bought a house for a price of p dollars. After 1 year the value of the house increased by 50%.

Therefore, the expression that can be used to represent the new value of the house can be represented as follows:

Hence,

increased price = 50% of p

increased price = 50 / 100 p

increased price = 0.5p

Hence, the expression that represent the new price is as follows;

expression for the new price = 0.5p + p

expression for the new price = p(0.5 + 1)

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Answer:

Less than

Step-by-step explanation:

0.36 is equal to 0.360

So if you substitute 0.36 by 0.360, it is easier to compare.

0.360 less than 0.361

Answer:

Less Than (<)

Step-by-step explanation:

The second number has a extra 0.001

75th Percentile = 45 means that 75% of the observations are values less than or equal to 45.

To calculate the 75th percentile, we arrange the observations in ascending order and find the value at which 75% of the data falls below. In this case, the 75th percentile is 45, indicating that 75% of the observations have values less than or equal to 45.

In other words, if we have a dataset with 100 observations, the 75th percentile value would be the value that separates the top 25% (from observation 76 to 100) from the bottom 75% (from observation 1 to 75), and that value is 45.

the statement "75th Percentile = 45" means that 75% of the observations in the dataset have values less than or equal to 45.

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Answer:

The largest digit to be placed on the blank in the 5_,310 to make it divisible by 6 is 9 to give 59,310

Step-by-step explanation:

The given question requires the digit to be placed in the space left blank in 5_,310 to make it divisible by 6

To answer the question, we note that given that 51,000, 54,000, 57,000, and 60,000 are divisible by 6, and that 310 is not divisible by 6, we have

1,310 is not divisible by 6, but 2,310 is divisible by 6

Therefore, the complete number will be 57,000 + 2,310 = 59,310 which gives;

59310/6 = 9,885

Therefore, the complete number is 59,310, and the required digit is 9.

The length of JL is 9 units. The length of KM is also 9 units. Yes, JL equals KM. Parallelogram JKLM is a rectangle.

To determine if parallelogram JKLM is a rectangle, we need to compare the lengths of its diagonals JL and KM.

Using the distance formula, we can calculate the length of JL:

JL = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]

JL = [tex]√[(4 - (-8))^2 + (0 - 1)^2][/tex]

JL = [tex]√[12^2 + (-1)^2][/tex]

JL = √[144 + 1]

JL ≈ √145 ≈ 12.04 (rounded to two decimal places)

Using the distance formula, we can calculate the length of KM:

KM = [tex]√[(x2 - x1)^2 + (y2 - y1)^2][/tex]

KM = √[tex][(-6 - 2)^2 + (-4 - 5)^2][/tex]

KM = √[tex][(-8)^2 + (-9)^2][/tex]

KM = √[64 + 81]

KM ≈ √145 ≈ 12.04 (rounded to two decimal places)

Since JL = KM, the lengths of the diagonals are equal. This indicates that the opposite sides of parallelogram JKLM are congruent, which is a characteristic of a rectangle. Therefore, parallelogram JKLM is a rectangle.

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The total amount paid for the building is the sum of the amounts contributed by all three people: Total amount = D + L + C= 189576 + (189576 + 15489) + 249033= s/. 703674 , the total amount paid for the building is s/. 703674

In this problem, the amounts contributed by Luis and Cristian are unknown, and we have to find them using the given information. We also need to find out the total amount paid for the building. Let us use algebraic expressions to represent the unknown amounts contributed by Luis and Cristian.We are given the following information: - Luis contributed s/. 15489 more than David. - Luis contributed s/. 43968 less than Cristian. - David contributed s/. 189576. Let us represent the unknown amounts contributed by Luis and Cristian as L and C, respectively. Using the given information, we can set up the following equations: L = D + 15489 C = L + 43968 = D + 15489 + 43968 (since L = D + 15489) = D + 59457Now, we can substitute the value of D in the second equation to get: C = 189576 + 59457 = 249033. the total amount paid for the building is s/. 703674

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Answer:

1. x=31

2. x=15

Step-by-step explanation:

1. (3x+31)+(2x-6) = 180 work it out and get 31

2. (3x)+(4x-15) = 90 work it out and get 15

Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Answer: true

Step-by-step explanation:

To find the component form of the velocity of the airplane, we need to break down the velocity vector into its horizontal (x) and vertical (y) components.

Given that the airplane is flying 25 degrees west of north at 800 km/h, we can determine the horizontal and vertical components using trigonometry.

The vertical component (Vy) represents the velocity in the north direction, and the horizontal component (Vx) represents the velocity in the east direction.

To calculate Vy, we use the sine function:

Vy = V * sin(θ)

Vy = 800 * sin(25°)

To calculate Vx, we use the cosine function:

Vx = V * cos(θ)

Vx = 800 * cos(25°)

Therefore, the component form of the velocity vector is:

Velocity = (Vx, Vy) = (800 * cos(25°), 800 * sin(25°))

Calculating the values:

Vx ≈ 722.6 km/h

Vy ≈ 342.0 km/h

Hence, the component form of the velocity vector is approximately (722.6 km/h, 342.0 km/h).

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The statement "1,024 is the smallest 4-digit number that is a perfect square" is statement.

Yes, the given sentence "1,024 is the smallest 4-digit number that is a perfect square" is a statement. A statement is a sentence that conveys some information, idea, or proposition. It can either be true or false and is usually based on facts or opinions.

In this case, the statement is true as 1024 is the smallest four-digit number that is a perfect square. A perfect square is a number that is obtained by multiplying a number by itself. 1024 is a perfect square since it is equal to 32 * 32 (or 2^10).

The given statement, therefore, is a true statement since it conveys a factual and accurate piece of information.

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a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer:

so every 6 cups there you can make 96 cookies

Step-by-step explanation:

Answer:

125

Step-by-step explanation:

i did it too

Answer:

10.2%

Step-by-step explanation:

Prediction of the broadcaster = 88 points

Actual score scored = 98points

% error = actual score-predicted score/actual score × 100℅

Substitute the given scores into the formula;

%error = 98-88/98 × 100

%error = 10/98 × 100

%error = 1000/98

%error = 10.2%

Hence the broadcaster percentage error is approximately 10.2%

Answer:

To solve this one, simply use the equation (600/2.5)=(x/1)

then solve for x. that will give you the speed in kilometers per hour

Answer:

240 mph

Step-by-step explanation:

Answer:

2 2/3 miles

Step-by-step explanation:

so you take 2/3 and times it by 4/1

you now have 8/3

then you simply and come up with 2 2/3

the answer also just might be 2 depends on what they want, the full mile or the partial also.

Answer:

see below

Step-by-step explanation:

1.  The inverse means take the not of both sides

If it is Saturday, then there is no school.

 Inverse     If it is not Saturday, then there is school.

The converse flips the then and the if

If there is no school, then it is Saturday.

2.) The first given part is the if, what will happen is the then part

If you are a freshman, then you are required to attend orientation.

3.)

Given: 3x+1=-14 Prove: x=-5

Statements    Reasons

1. 3x+1=-14     Given

2. 3x=-15          Subtraction Property of equality  ( since we subtract 1 from                         each side)

3. X=-5          Division Property  ( since we divide each side by 3)