PLEASE HELP!!!

Abby used the quadratic formula to find the zeros of the function below. However, Abby made a mistake. What mistake did Abby make

Answer:

7 and -6   (corresponding to Answer C)

Step-by-step explanation:

Solve x(x - 1) = 42 for x.  

To do this, first perform the indicated multiplication and then rearrange the terms in standard quadratic function order:

x^2 - x - 42 = 0

Factoring yields (x - 7)(x + 6) = 0,

leadng to roots 7 and -6   (corresponding to Answer C)

When the answers are plotted on a coordinate plane, a line connecting the points (4, 8), (8, 4), (12, 0), (16, -4), and (20, -8) intersects the x-axis at (12, 0).

1/3x + y = 12

3/3x + y = 12

x + y = 12

x = 12 - y

1/3(12 - y) + y = 12

4 - 1/3y + y = 12

4 + 2/3y = 12

2/3y = 8

y = 8/2

y = 4

x = 12 - 4

x = 8

1/3x + y = 12 has one initial solution, which is (4, 8). We must arrange the equation to solve for x in order to find the solution to this point. The equation becomes x + y = 12 or x = 12 - y by taking y away from both sides. When this equation is plugged into the original one, the result is 1/3(12 - y) + y = 12. When this equation is made simpler, it becomes 4 - 1/3y + y = 12 and then 4 + 2/3y = 12. In the end, multiplying both sides by 2/3 results in 2/3y = 8, which, when rounded down, equals y = 4. When you add this back into x = 12 - 4 you get x = 8 and the point (4, 8).

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Answer:

⅞ pound

Step-by-step explanation:

You received 1/4 pound of candy from your grandmother.

You received 1/2 pound of candy from your sister.

You received 1/8 pound of candy from your best friend.

The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.

The total amount of candy is therefore:

¼ + ½ + ⅛ = ⅞ pound

You received ⅞ pound of candy in total.

Answer:

\(30ft^{2}\)

Step-by-step explanation:

Out of 52 cards, there is only one Queen of Hearts. Hence, then, the probability = 47/52

5 cards can be chosen from a deck of 52 cards in ⁵²C₅

In order to avoid choosing a queen of hearts, we must choose 5 cards. There is only one queen of hearts in a deck of 52 cards. There are still 51 cards left, and 5 of them can be chosen in ⁵²C₅.

Therefore, the likelihood that a five-card poker hand does not include the queen of hearts is equal to ⁵¹C₅/⁵²C₅

47/52

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The full question

What is the probability that a five-card poker hand does not contain the queen of hearts?

The expression which is equivalent to -10 is the option b, -3 - 7.

Explanation:

We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;

-3 - 7 = -10 (-3 - 7)

The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.

If we add -3 and -7 we will get -10. This makes the option b the correct answer.

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The expression which is equivalent to 12 is 12 ÷ 1.

The correct answer choice is option B

check all that applies:

4 ÷ 12 = 0.34

12 ÷ 1 = 12

124 ÷ 4 = 31

12 ÷ 12 = 1

In conclusion, 12 ÷ 1 is the equivalent expression to 12

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Answer:

3x+2

Step-by-step explanation:

The length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

To solve this problem, we can use the Pythagorean theorem, which states that in a right triangle, the sum of the squares of the two shorter sides (legs) is equal to the square of the longest side (hypotenuse). In this case, the fence, building, and ladder form a right triangle, where the fence and building are the legs, and the ladder is the hypotenuse.

We know that the fence is 8 feet tall and the building is 4 feet away from the fence, so the height of the right triangle (the distance from the ground to the top of the building) is also 8 feet.

To find the length of the ladder, we need to use the Pythagorean theorem:

ladder^2 = fence^2 + height^2
ladder^2 = 8^2 + 4^2
ladder^2 = 64 + 16
ladder^2 = 80
ladder ≈ 8.94 feet

Therefore, the length of the shortest ladder that will reach from the ground over the fence to the wall of the building is approximately 8.94 feet.

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

{9, 9.5, 10, 10.5, 10.5, 11, 11, 11.5, 11.5, 11.5, 12, 12}

The median of the distribution can be found using the formula :

Median = 0.5(n + 1) th term

n = number of terms = 12

Median = 0.5(12 + 1) th term

Median = 0.5(13)th term = 6.5th term

Select the 6th and 7th term = 11, 11

(11 + 11) /2 = 22/2 = 11

Hence, the median = 11

The distribution is negatively skewed, This was inferred from the shape of a distribution having a long shape positioned on the left side of the distribution.

The peak values are the 8th, 9rh and 10th values with only two values below in the right direction with the majority on the left.

Answer:

The median number of hours James worked is 10 . The skew of the distribution is  negative .

Step-by-step explanation:

Answer:

6 centimeters

Step-by-step explanation:

Square E'F'G'H' is just square EFGH translated to the left.

It is still the same size, just in a different location.

Line segment EF is the same length as segment E'F'.

6 centimeters

The segment \(E'F'\) is 6 centimeters long.

According to this question, Reynaldo created a new square with same dimensions of the former one by translating it 4 centimeters to the left, which means that line segments EF and E'F' have the same length. Let suppose that no further operations have been done.

If \(EF = 6\,cm\), then \(E'F' = 6\,cm\) because of translation. In other words, the segment \(E'F'\) is 6 centimeters long.

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Answer:

heyyyyyyyyyyyyy

Step-by-step explanation:

Hope you had a good day

Answer:

40%

Step-by-step explanation:

percent change in Mike's long distance runs = (change in miles ran / initial longest mile ran) x 100

change in miles ran = new personal record - initial personal record

14 - 10 = 4

(4/10) x 100 = 40%

Answer:

Volume=length*wide*height

1st volume:1 ½*3*1=3/2×3=9/2 not equal

2nd volume: 2*2*1 ½=4*3/2=6units not equal

3rd volume: 1 ¼*4*1=5/4*4=5units equal

4th volume :2*1*2=4units not equal

third one is a required answer.

The value of x for the given equation is 5.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.

Here, as per the given Equation

\(2^x-1 = 31\)

\(2^x = 31 + 1\)

\(2^x = 32\)

\(2^x = 2^5\)

On comparing both sides, we get

x = 5

Thus, the value of x for the given equation is 5.

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Answer:

Answer: D (the last graph)

Step-by-step explanation:

In this item, we are given that each student is to pay an amount equal to $300 on top of the $800 that is assumed to be divided by the total number of students who will join the field trip. In this case, the more number of students, the lesser would be the amount the student will pay from the deposits.  

If there are infinite number of students, one student will partake almost $0 in the deposit. The answer to this item therefore is the last graph.

Answer:

d

Step-by-step explanation:

Answer:

7500 yds^2

Step-by-step explanation:

A = \(\frac{1}{2}\)Bh

A = \(\frac{1}{2}\) 50 * 300

A = 25 * 300

A = 7500

To perform a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, the critical t-values are approximately ±2.110.

To find the critical values for a two-tailed hypothesis test with a sample size of 18 and a significance level of α = 0.10, you need to follow these steps:

1. Determine the degrees of freedom (df) for the t-distribution. In this case, df = n - 1 = 18 - 1 = 17.

2. Divide the significance level by 2 to account for the two tails. α/2 = 0.10/2 = 0.05.

3. Look up the critical t-value in the t-distribution table for a two-tailed test with a significance level of 0.05 and 17 degrees of freedom. The critical t-value is approximately ±2.110.

Therefore, the critical t-values for the two-tailed hypothesis test with a sample size of 18 and α = 0.10 are approximately ±2.110.

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Answer:

A

Step-by-step explanation:

A) r = 8

B) r = 4

C) r = \(\sqrt{\frac{30}{\pi } }\) ~ 3.09

D) r = \(\frac{30}{2\pi} = \frac{15}{\pi } ~ 4.77\)

Circle A has the largest radius, and thus is the largest circle

a. $3,000 at 5% APR for 8 years = $4,469.47., b. Semiannual: $4,494.49. Bimonthly: $4,503.50., c. 10% APR: Annual - $4,878.14; semiannual - $4,913.67; bimonthly - $4,924.25., d. 16 years, 5%APR:$5,918.94.,e.increase future sums.



( a. )To calculate the future sum, we use the formula for compound interest: FV = P(1 + r/n)^(nt). Plugging in the values, we have FV = $3,000(1 + 0.05/1)^(1*8) = $3,000(1.05)^8. ( b. ) For semiannual compounding, n = 2. Therefore, FV = $3,000(1 + 0.05/2)^(2*8) = $3,000(1.025)^16. For bimonthly compounding, n = 6. So, FV = $3,000(1 + 0.05/6)^(6*8) = $3,000(1.008333)^48.

( c.) Using an APR of 10%, we repeat the calculations in parts a and b. For part a, FV = $3,000(1 + 0.10/1)^(1*8) = $3,000(1.10)^8. For part b with semiannual compounding, FV = $3,000(1 + 0.10/2)^(2*8) = $3,000(1.05)^16. And for bimonthly compounding, FV = $3,000(1 + 0.10/6)^(6*8) = $3,000(1.016667)^48. ( d.) For a time horizon of 16 years and an APR of 5%, we use the formula in part a: FV = $3,000(1 + 0.05/1)^(1*16) = $3,000(1.05)^16.

 e. Comparing the results, we observe that higher interest rates and longer holding periods lead to larger future sums. Additionally, more frequent compounding (bimonthly) generates higher future sums compared to semiannual or annual compounding, highlighting the power of compounding over shorter intervals.

Therefore,interest  is  a. $3,000 at 5% APR for 8 years = $4,469.47., b. Semiannual: $4,494.49. Bimonthly: $4,503.50., c. 10% APR: Annual - $4,878.14; semiannual - $4,913.67; bimonthly - $4,924.25., d. 16 years, 5% APR: $5,918.94., e. Higher rates, compounding, longer time horizons increase future sums

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Logan had approximately 4 appointments.

Let's denote the number of appointments Logan had as 'x'.

The equation representing Logan's profit can be expressed as follows:

Profit = Revenue - Expenses

and, Revenue = Total amount earned from appointments + Tips

Expenses = Rental fee per appointment

Given that

Logan charged $55 per appointment and received $35 in tips.

So, the revenue from each appointment would be $55 + $35 = $90.

As, the expenses per appointment would be the rental fee of $10.

Therefore, the equation becomes:

Profit = (Revenue per appointment - Expenses per appointment) * Number of appointments

350 = (90 - 10) *x

350 = 80x

x = 350 / 80

x ≈ 4.375

Therefore, Logan had approximately 4 appointments.

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Let's solve for x

8(3x-2) - 4 = 8x + 4(4x-3)

8(3x)+8(-2)-4 = 8x+4(4x)+4(-3)

24x-16-4 = 8x+16x-12

24x-20 = 24x-12

-20 = -12 .... subtract 24x from both sides, the two terms cancel each other out

We end up with a false equation as both sides are not the same number.

No matter what value of x you plug in, you'll get a false equation.

This is known as a contradiction because the left hand side says one thing, but the right hand side says something else.

Answer:  387

Step-by-step explanation: Have a blessed day hopefully this helps!

Answer:387

Step-by-step explanation:

bc it is

Answer:

6a2 + 6a + 7

Step-by-step explanation:

Answer:

D - 28

Step-by-step explanation:

= D - \(\frac{224}{8}\)

= D - 28

Answer:

(8÷224)-d=x

x is the number of dollars gregory will have after he pays

Excision of

benign lesions

on chest, 0.4 cm, with simple closure(CPT CODE)CPT code is a five-digit numeric code that is used to describe medical, surgical, and diagnostic procedures.

The CPT code for the Excision of benign lesions on chest, 0.4 cm, with simple closure is 11400. The CPT code 11400 is used to report the removal of benign lesions or skin tags. It is a

surgical

procedure performed to remove a benign lesion, which is a tumor that is not

cancerous

.

The

excision

of benign lesions is performed for a variety of reasons, including cosmetic purposes, symptom relief, or to prevent the

lesion

from becoming cancerous. Excision of benign lesions on chest, 0.4 cm, with simple closure is a minor surgical procedure that can be performed in an outpatient setting.

The simple closure refers to the wound closure technique, where the edges of the incision are brought together and closed with sutures or staples. A simple closure is used when the wound is small and does not require extensive tissue

rearrangement

or grafting. The excision of benign lesions on the chest, 0.4 cm, with simple closure is performed to remove a benign lesion or tumor from the chest area that measures 0.4 cm in size.

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There is a 21.19% chance that the daily production falls within 32.3 and 36.9 liters.

To find the probability that the daily production of a herd of cows is between 32.3 and 36.9 liters, we need to use the normal distribution properties.

Given that the mean daily production of the herd of cows is 30 liters and the standard deviation is 8.2 liters, we can standardize the distribution and use the standard normal distribution table or calculator. We calculate the z-scores for the values 32.3 and 36.9, which tells us how many standard deviations away from the mean each value is.

Using a standard normal cumulative distribution function, we can find that the probability of the daily production falling between 32.3 and 36.9 liters is approximately 0.2119. This means that there is a 21.19% chance that the daily production falls within this range.

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The probability that daily production is between 32.3 and 36.9 liters is 0.18949 or 18.9%.

To determine the probability that the herd's daily production will be between 32.3 and 36.9 liters, we must compute the z-scores for each number and use a standard normal distribution table to calculate the area under the curve between those z-scores.

To find out the z - scores we need use z-score formula:

Z = X−μ / σ

where μ  is the mean, σ is the standard deviation and X is the observed value. In the problem μ  is 30 liters, X₁ = 32.3 liters & X₂ = 36.9 liters and σ = 8.2 liters.

Substituting the values in the equation to find the z-score for 32.3 liters is:

z₁ = (32.3 - 30) / 8.2 = 0.2804

z₁ = 0.28049

Substituting the values in the equation to find the z-score for 36.9 liters is:

z₂ =( 36.9 - 30) / 8.2 =  0.8414

z₂ = 0.8414

We can determine the area under the curve between these two z-scores using a conventional normal distribution table. The area between z = 0.28049 and z = 0.8414 and the probability is approximately 0.1894.

As a result, the probability that the herd's daily output is between 32.3 and 36.9 liters is about 0.1894.

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Answer:

The least common denominator is 8, you need to multiply the 3 by 2.

Answer:

8

Step-by-step explanation: