Which of the lines is a line of symmetry for the object?

A. AB and CD

B. CD and EF

C. EF and GH

D. AB only

Answer:

6

Step-by-step explanation:

To start, the right side must be 0. Subtract 57 from both sides to get 2x² + 13x - 57 = 0. To use the quadratic equation, which is -b ± √b² - 4ac over 2a, plug in the numbers.

a = 2; b = 13; c = -57

The equation is then -13 ± √169 - 4(2)(-57) over 2. This simplifies to -13 ± √169 + 456 over 2, or -13 ± √625 over 2. The square root of 625 is 25, it becomes: -13 ± 25 over 2. -13 + 25, or 25 - 13, is 12. 12/2 is 6. Hope this helps! Have a great day! :)

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

Answer:

3.5

Step-by-step explanation:

y = 3.5x – 17

This is in the slope intercept form

y= mx+b where m is the slope and b is the y intercept

The slope is 3.5

The 8 times table is a mathematical table that lists the products of 8 and the integers from 1 to 10. The table is typically used to help students learn and memorize the multiplication facts for the number 8.

Here is the 8 times table:

8 x 1 = 8

8 x 2 = 16

8 x 3 = 24

8 x 4 = 32

8 x 5 = 40

8 x 6 = 48

8 x 7 = 56

8 x 8 = 64

8 x 9 = 72

8 x 10 = 80

As you can see, the 8 times table is a list of the products of 8 and the integers from 1 to 10. By memorizing this table, students will be able to quickly and easily solve multiplication problems involving the number 8. It is important to practice and memorize the 8 times table, as well as other multiplication tables, as they form the foundation for more advanced mathematical concepts.

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Answer:

20+6i

Step-by-step explanation:

Simplify by combining the real and imaginary parts of each expression.

Answer: The expression "+" demonstrates communitive property.

Step-by-step explanation: Here you need to group like terms i.e.,

(-1+21)+(i+5i) = 20 + 6i. "+" represents additive commutative property

20+6i = 6i+20 is commutative.

OR (i-1)+(5i+21)

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The function f(x) is defined as f(x) = 4x/8x-6.

This can be simplified to f(x) = 1/2x-3. The horizontal asymptote for this function is y = 0, as its denominator approaches 0 as x approaches infinity or negative infinity.The function f(x) is defined as f(x) = 4x/8x-6.  To find the vertical asymptote, we need to set the denominator to 0. We can solve this equation to find that the vertical asymptote of f(x) is x = 6. This means that as x approaches the value of 6, the function approaches infinity. Therefore, the horizontal asymptote of this function is y = 0 and the vertical asymptote is x = 6.

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Answer:

they usually cost nothing if you go through your bank

Answer:

Step-by-step explanation:

They are not wrong exactly. Their answers are just incomplete. They did not take the factoring process to it's end.

Victoria could pull out another three.

Rebecca could pull out another five.

The answer is 15(y + 2)

Answer:

because:  3(5y + 10)=15y+30 (Distributive property between addition and multiplication )

the same we have  5(3y + 6)=15y+30

Step-by-step explanation:

Answer:

b.b d.d e.e

Step-by-step explanation:

The optimal weekly stocking level for avocados can be found by using the Economic Order Quantity (EOQ) formula. Thus, the new ROP would be 97.

The formula is given as: EOQ = sqrt(2DS/H), where

D = Annual demand (52 weeks × 200 avocados) = 10,400S

Cost of stockout = $4.50H

Cost of excess = $1.25Using the given values,

EOQ = sqrt(2 × 10,400 × 4.5/1.25)

EOQ = 381.75 ≈ 382

Thus, the optimal weekly stocking level for avocados is 382.

b)To find the Reorder Point (ROP), we need to use the formula ROP = dL + zσL

where, d = Average demand during the lead time

L = Lead time

z = Z value corresponding to the required service level

σL = Standard deviation of demand during lead time

From the given data, Average demand during the lead time is: dL = 45 × 2 = 90

Since the manager will accept no more than an 8% risk of stockout during lead time, the Z value corresponding to the required service level is 1.28 (as per the standard normal distribution table).

The standard deviation of demand during lead time is: σL = √(2.75² × 2) = 3.89

Thus, 1. The value of Z is 1.28. 2. The Reorder Point (ROP) can be calculated as: ROP = dL + zσL

ROP = 90 + 1.28 × 3.89

ROP = 95.01 ≈ 953

If acceptable risk were to go down to 5%, the new Z value corresponding to the required service level would be 1.64 (as per the standard normal distribution table).

Using this value in the formula for ROP, the new ROP can be calculated as:

ROP = dL + zσL

ROP = 90 + 1.64 × 3.89

ROP = 96.37 ≈ 97

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Solution

Question: Which type of graph would you use to compare the amount of rainfall each month for one year.

Answer: Line Graph

i.e Bar graph , Histogram, etc

The system of inequalities on the graph is:

y < x² – 6x – 7

y ≤ x – 3

First, we can se a solid line, and the region shaded is below the line.

Then we can see a parabola graphed with a dashed line, and the region shaded is below that parabola.

Then the inequalities are of the form:

y ≤ linear equation.

y < quadratic equation.

From the given options, the only two of that form are:

y < x² – 6x – 7

y ≤ x – 3

So that must be the system.

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In the Poisson distribution, the probability that x = 0 is 0.0150.

The probability that x > 1 is 0.9220.

The Poisson probability mass function is given by:

P(x; μ) = e^(-μ) * (μ^x)/ x!

where x is the number of events, and μ is the average number of events in a given interval.

For this problem, μ = 4.20.

To find the probability that x = 0, we plug in x = 0 and μ = 4.20:

P(x= 0) = e^(-4.20) * (4.20^0) / 0!

                         = e^(-4.20) * 1 / 1

                         = 0.0150

To find the probability that x > 1, we need to use the complement rule. That is:

P(x > 1) = 1 - P(x ≤ 1)

To find P(x ≤ 1), we can use the Poisson cumulative distribution function:

P(x ≤ 1) = P(x=0) + P(x=1)

           = [e^(-4.20) * (4.20^0) / 0!] + [e^(-4.20) * (4.20^1) / 1!]

           = 0.0150 + 0.0630

           = 0.0780

Therefore,

P(x > 1) = 1 - P(x ≤ 1) = 1 - 0.0780 = 0.9220

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the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

There are no factors of 24 that are prime numbers. A factor of a number is a whole number that divides that number without leaving a remainder. Prime numbers, on the other hand, are numbers that are divisible only by 1 and themselves, and cannot be expressed as the product of any other numbers.

The prime factors of 24 are 2, 2, and 3. We can factorize 24 as 2 × 2 × 2 × 3 or 2^3 × 3. Here, 2 and 3 are both prime numbers, but they are not factors of 24 in isolation. They are only prime factors of 24 when combined in the manner shown.

This fact highlights an important concept in number theory: the uniqueness of prime factorization. Every composite number can be expressed as a unique product of prime numbers. This fundamental theorem of arithmetic is crucial in many areas of mathematics, including cryptography, where it is used to secure communications and protect sensitive information.

In summary, there are no factors of 24 that are prime numbers. However, the prime factors of 24 are 2 and 3, which combine to give the unique prime factorization of 24 as 2^3 × 3.

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\(\frac{1}{20}\) is the probability of each outcome in the sample space.

Probability is defined as the possibility of the outcome of any random event.

To calculate the probability of an event , we can use the empirical formula:

P(E) = (number of times an event occurs) / (total number of trials)

P(E) = n(E)/n(S)

Where P(E) is the probability of the event E,

           S is the sample space.

Sample Space of data is n(S)  is 5.

Let A be the event of selecting first  captain

Then, the probability of selecting first captain is

P(A)= \(\frac{1}{5}\).

Now, There are only 4 students as it is given without replacement.

Let B be the event of selecting second captain

Then, the probability of selecting second captain is

P(B)= \(\frac{1}{4}\).

Therefore, the probability of each outcome in the sample space is

\(\frac{1}{5}\)× \(\frac{1}{4}\) = \(\frac{1}{20}\) .

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Solution

The recursive formular for geometric sequence:

Recursive formula for a geometric sequence is

where r is the common ratio

This is called recursive formula for geometric sequence.

Hence the recursive formula =

By using unitary method, we found that the cost of 5m cloth is Rs. 1050.

According to the unitary method, the cost of 1 meter of cloth is equal to the total cost of 7 meters of cloth divided by 7. That is,

Cost of 1m cloth = Total cost of 7m cloth/7

We know that the total cost of 7m cloth is Rs. 1470. Therefore,

Cost of 1m cloth = 1470/7

Cost of 1m cloth = Rs. 210

This means that the cost of 1 meter of cloth is Rs. 210. Now, we need to find the cost of 5m cloth. To do that, we can use the unitary method again.

Cost of 5m cloth = Cost of 1m cloth x 5

Cost of 5m cloth = Rs. 210 x 5

Cost of 5m cloth = Rs. 1050

Therefore, the cost of 5m cloth is Rs. 1050.

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1 kg = 1000g

so, 1 kg of skim milk powder costs $ 6.40

1 gram of skim milk powder costs :

now, 250g skim milk powder costs :

hence, the answer is $ 1.60

Given:

The objective is to find the explain the slope of a graph with an example.

The slope of a graph can be identified by the formula,

Here, x and y represents the any two coordinates of a graph.

Consider a graph of straight line with two coordinates.

Consider,

Now substitute the values in the formula of slope.

Hence, the slope of the graph is 1/2.

Answer:

“change” or “the change”

Step-by-step explanation:

The value that is 2 standard deviations from the mean is; 130

For this question, we will use Z-score and as such whether the value is below or above mean (shown by positive or negative sign) and by how much (times the standard deviation).

Thus;

Calculated value = μ + zσ

where;

μ is mean

σ is standard deviation

Hence, the value that would be +2 standard deviations from the mean is;

Calculated value = 100 + 2(15)

Calculated value = 130

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The number that is a factor is 63 is C. 7.

In mathematics, a factor of a number is a divisor of the given number that divides it completely without leaving any remainder.

A factor is a number that divides another number by itself and leaves no remainder. In other words, if multiplying two whole numbers yields a product, then the numbers being multiplied are factors of the product because the product is divisible by them.

A divisor of an integer n, also known as a factor of n, is an integer m that can be multiplied by another integer to produce n. In this case, n is also said to be a multiple of m.

In this case, the factors of 63 are 1, 3, 7, 9, 21 and 63.

The factor is 7.

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Complete question

Which of the following numbers is a factor of 63

2

5

7

11

Answer:

2.76

Step-by-step explanation:

Z - 2.3 = 0.46

Z = 0.46 + 2.3

Z = 2.76

Thus, The value of Z is 2.76

-TheUnknownScientist

Equation V + Iwh , I = 32, w = 14, and h = 7, V = -3,136. The correct answer is B.

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

1. V + Iwh = V + (32)(14)(7)
2. V + 3,136 = V + 3,136
3. Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136. Here is the solution in HTML format:

To solve for V in the equation V + Iwh, we can plug in the given values of I, w, and h, and then isolate V on one side of the equation. Here are the steps:

V + Iwh = V + (32)(14)(7)
V + 3,136 = V + 3,136
Subtract 3,136 from both sides of the equation: V = -3,136

The correct answer is option B: 3,136.

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Randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.

Randomization is important in an experimental design because it helps to reduce the effects of confounding variables. Confounding variables are factors that can affect the outcome of an experiment but are not part of the experimental manipulation. By randomly assigning subjects to different groups, the effects of confounding variables will be distributed equally among the groups, making it more likely that any differences observed between the groups are due to the experimental manipulation and not to the confounding variables.

Randomization also helps to ensure that the groups being compared are representative of the population being studied. This is important because if the groups are not representative, the results of the experiment may not be generalizable to the population as a whole.

Additionally, randomization helps to ensure that the groups being compared are not systematically different in ways that could affect the outcome of the experiment. This is important because if the groups are systematically different, it could be difficult to determine whether any differences observed between the groups are due to experimental manipulation or systematic differences.

Therefore, Overall, randomization is a crucial step in experimental design that helps to increase the validity and generalizability of the results, by controlling the extraneous variables that might influence the outcome.

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The number of books that Jessica read in the fifth year is 2⁵ m.

Given that,

Jessica joined a book club five years ago.

The club tries to increase the number of books you read by a factor of two each year.

Given that,

Number of books that Jessica read in the year she joined = m

Each year the number of books read will be increasing by the factor of 2.

So in the first year, she will read 2m.

The second year, she will read, 2² m

In this way, in the fifth year, she will read 2⁵ m number of books.

Hence the correct option is B.

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