What is the solution to the equation?
8v - 4(v + 8) = 8
O v = 2
O v = 10
ng
v=4
o
v=-4

Answer:

2.5

Step-by-step explanation:

\(\frac{7}{3}\) y = \(5\frac{5}{6}\)

y = \(\frac{35}{6}\) ÷ \(\frac{7}{3}\) = \(\frac{35}{6}\) × \(\frac{3}{7}\) = \(\frac{5}{2}\) = 2.5

Answer:

The value of a in the given equation is '4'

Step-by-step explanation:

The given equation is: 3a + 2b = 8 and b = -2

Plug the value of b into the formula:

3a + 2(-2) = 8

3a - 4 = 8

We want 3a by itself so we will add +4 to both sides:

3a - 4 + (4) = 8 + (4)

3a = 12

Divide both sides by 3 so a is by itself:

3a/3 = 12/3

1a = 4

a = 4

Answer:

(-3,4)

Step-by-step explanation:

Quick way to answer such questions.

since it is a points in the form (x,y)

You take a point assume we take (-3,4).

we can see x=-3 and y=4.

Then we substitute it back into the original equation let take y=1-x

from the point y = 4 and x=-3, therefore the equation will

4=1--3 which is 4=4. this satisfied the condition

By Using calculation to answer such questions.

we can equate both expression in the form

8x^2+47x+73=1-x

bring all variables and constant to the left side

8x^2+47x+x+73-1=0

adding like terms

8x^+48x+72=0

dividing through by 8

x^2+6x+9=0

we multiply c by a which are 1 and 9 in the equation then we have to find a number that we multiply it will give us 9 and when added we get 6

so the numbers are 3 and 3. therefore

x^2+3x+3x+9=0

factorize it

x(x+3)+3(x+3)=0

(x+3)(x+3)=0

Therfore x+3=0

which x=-3

after getting x we substitute back into the original equation. So

8(-3)^2+47(-3)+73=4

so the answers are x=-3 and y=4

Mr. Brown picks out the time that appears the most to find the mode.

He arranges the times in increasing order and picks the middle value to find the median.

The times in seconds for the 100-meter dash are as follows: 12.5, 12.4, 12.4, 12.3, 12.6, and 12.4.

The mode is the value or values that appear most frequently in a dataset.

In this case, the time that appears the most is 12.4, which occurs three times.

Therefore, the mode is 12.4.

The median is the middle value in a dataset when arranged in increasing or decreasing order.

When we arrange the times in increasing order, we have: 12.3, 12.4, 12.4, 12.4, 12.5, 12.6.

The middle value is 12.4, so the median is 12.4.

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Hailey has a balance of -$3.67 in her overall accounts. This is calculated by subtracting the amount in her checking account ($121.06) from the amount in her savings account ($117.39).

To calculate Hailey's overall account balance, we subtract the amount in her checking account from the amount in her savings account: $117.39 - $121.06 = -$3.67. A negative balance indicates that Hailey has more debt or liabilities than assets in her accounts.

In this case, the negative balance suggests that Hailey's checking account has a deficit, meaning she has overdrawn or has insufficient funds in that account. The positive balance in her savings account cannot offset the negative balance in her checking account, resulting in an overall negative balance of -$3.67. This means Hailey needs to address the overdraft or insufficient funds in her checking account to achieve a positive overall balance.

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The standard deduction for a married couple filing a joint return in 2021 is $25,100.

The standard deduction is a fixed amount that reduces the taxable income of individuals or couples without the need for itemizing specific deductions. In the case of a married couple filing a joint return, the standard deduction is typically higher than that for individuals.

For the year 2021, the standard deduction for a married couple filing jointly is $25,100. This means that the Gobles, being a married couple filing a joint return, can deduct $25,100 from their taxable income before calculating their tax liability.

The fact that Todd is legally blind does not affect the standard deduction amount for a married couple filing jointly. However, it is worth noting that individuals who are blind or over the age of 65 may qualify for additional standard deduction amounts or other tax benefits. These additional deductions or benefits would be separate from the standard deduction and may vary based on specific criteria and regulations set by the tax authorities.

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Answer:

  y = 10 -2x; 10 is the length of the trail

Step-by-step explanation:

Jordan's remaining distance starts at 10 miles, and decreases 2 miles each hour:

  y = -2x +10

The y-intercept is the length of the trail.

It's important to consider the terms "deviation," "players," and the context of the question. The mean and standard deviation of the salaries of players on the Denver Broncos have been recorded. You'd like to know if it's appropriate to use these methods to perform a hypothesis test about the mean salary of players in the National Football League (NFL).

In this case, it may not be appropriate to use the methods of this section to perform a hypothesis test about the mean salary of players in the NFL. The reason is, the data collected only represents the players on the Denver Broncos and not the entire population of NFL players. The standard deviation and mean of the Denver Broncos' salaries may not accurately represent the salary distribution of the entire league, as there might be variations among different teams.

To perform a hypothesis test about the mean salary of players in the NFL, it would be necessary to gather data from a representative sample of players across all teams in the league. This would allow for a more accurate estimation of the true mean salary and standard deviation within the entire population of NFL players.

In conclusion, while the data collected for the Denver Broncos players provides useful information about that specific team, it is not sufficient to draw conclusions about the mean salary of players in the entire NFL without obtaining a representative sample from all teams.

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Answer:

the board is 2.4 ft

Step-by-step explanation:

because 24/10 is 2.4

Answer:

A:1/8

Step-by-step explanation:

The calculated volume of the glass (excluding the hole) is 2500/3 cubic feet

Given that we have

A pyramid-shaped hole made in a glass cube

Start by calculating the side length of the hole using the Pythagorean Theorem

l² = 5² + 5²

l² = 50

The volume of the hole is then calculated as

V₁ = 1/3l²h

Where

h = 10

So, we have

V₁ = 1/3 * 50 * 10

V₁ = 500/3

The volume of the glass with the hole is then calculated as

V₂ = h³

So, we have

V₂ = 10³

V₂ = 1000

The volume of the glass (excluding the hole) is

V = V₂ - V₁

So, we have

V =  1000 - 500/3

V =  2500/3

Hence, the volume is 2500/3 cubic feet

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Answer:

$8,000 is the correct

Step-by-step explanation:

is right

Answer:

44,000

Step-by-step explanation:

did I did right.

Answer:

  2153 meters

Step-by-step explanation:

You want to know the distance to a source of sound if it is heard through a medium with a speed of sound of 5030 m/s 6 seconds before it is heard through a medium with a speed of sound of 335 m/s.

The relation between time, speed, and distance is ...

  time = distance/speed

For some distance d in meters, the two times are d/335 seconds and d/5030 seconds. The time difference is 6 seconds, so we have ...

  d/335 -d/5030 = 6

Multiplying by 337010, we have ...

  1006d -67d = 2022060

  939d = 2022060 . . . . . simplify

  d ≈ 2153.42 . . . . . meters

The source of sound is about 2153 meters away.

__

Additional comment

The distance might rightly be rounded to 2150 meters, since the given numbers are 3 significant figures each.

Answer:  y = 7

This is because every point on this horizontal line has a y coordinate of 7.

For instance, the points (0,7) and (3,7) are on this horizontal line. The x coordinate doesn't matter. All that matters is that y is 7. Since x doesn't matter, it's the reason why it doesn't show up in the answer.

V(t) was never zero on the interval [ 0, ln 2] according to the mean-value theorem.

According to the Mean Value Theorem, if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then f'(c) must equal the function's average rate of change over [a, b] at some point c on the interval (a, b).

given

Assume that f: [a, b] R and that f has a local maximum or minimum at x0 (a, b). F 0 (x0) = 0 if f is differentiable at x0.

Proof: Let's assume that f has a local maximum at x0 (a, b). When h is small enough, f(x0 + h) f. (x0).

f(x0 + h) f(x0) h 0 if h > 0 else.

Similar to this, f(x0 + h) f(x0) h 0 if h 0.

As a result of fundamental limit qualities, f

We point out that if x0 is either an or b, the prior theorem is invalid. For instance, f has a maximum at 1 but f 0 (x) = 1 for all x [0, 1] if we take the function f: [0, 1] R such that f(x) = x.

V(t) was never zero on the interval [0, ln 2] according to the mean-value theorem.

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Answer:

43/pi

Step-by-step explanation:

in your mind

Answer:

A

Step-by-step explanation:

because an even number plus and even number equals and even number

Answer:

(C) If n is not the sum of two even numbers, then, is not even.

Step-by-step explanation:

According to the question The probability that the sample proportion of disapproval is greater than 0.55 is approximately 0.259.

In a random sample of 205 marketing professionals, 117 expressed disapproval of using ultraviolet ink on a mail survey. We want to determine the probability that the sample proportion of disapproval is greater than 0.55.

Assuming random sampling, independence, and a sufficiently large sample size, we calculate the sample proportion as 0.57. By computing the z-score and referring to a standard normal distribution table, we find that the probability of obtaining a z-score greater than 0.644 is approximately 0.259.

Hence, the probability that the sample proportion of disapproval is greater than 0.55 is approximately 0.259.

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Answer:

$1.50 bro

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Using the chart, it shows the total amount that the retailer (the chip company) spends to make each bag of chips. We're looking at the $3 chip bag, so looking we can see that it costs the company $1.00 for each bag. If it costs $1 to make and it sells for $3, the profit is $2. This chart makes it easy because it calculates the total charts for you.

The amount tied up in AR is $69434.12

The Gross Revenue, GR = $495,958.02

From the question:

The Annual Revenue, AR = 14% of GR

AR = (14/100) x $495,958.02

AR = 0.14 x $495,958.02

AR = $69434.12

The amount tied up in AR is $69434.12

Answer:

hypotenuse

Step-by-step explanation:

Answer:

HYPOTENUSE

Step-by-step explanation:

No need to explain

°^°

The probability that the mean annual snowfall during 25 randomly picked years will exceed a certain value, we need to calculate the z-score and look it up in the z-table to find the corresponding probability.

To find the probability that the mean annual snowfall during 25 randomly picked years will exceed a certain value, we need to use the properties of the normal distribution. Given that the amount of snowfall is normally distributed with a mean and a standard deviation, we can use the Central Limit Theorem.

The Central Limit Theorem states that if we have a sufficiently large sample size (in this case, 25 years), the distribution of the sample means will be approximately normal regardless of the shape of the population distribution.

To find the probability, we need to convert the mean annual snowfall into a standard score (also known as a z-score) using the formula:

z = (X - μ) / (σ / √(n)), where X is the value we want to find the probability for, μ is the mean, σ is the standard deviation, and n is the sample size.

Once we have the z-score, we can look it up in the z-table to find the corresponding probability. The probability represents the area under the normal distribution curve to the right of the z-score.

In conclusion, to find the probability that the mean annual snowfall during 25 randomly picked years will exceed a certain value, we need to calculate the z-score and look it up in the z-table to find the corresponding probability.

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Answer:

angle 1=\(135\)°

Step-by-step explanation:

to find the angle of 1 you should know angle 2, what is angle 2?

angle \(45\)° and angle \(1\) are symetrical so they have the same value.

now that we know that angle 2 is equal to \(45\)°

then what is angle 1

if the whole line has an angle of \(180\)° and angle \(45\)°.

so the equation will be :

\(45+x=180\)

flip the equation to find \(x\):

\(180-45=x\)

\(180-45=x\\135=x\\x=\)the angle 1 which we found in the given equation is 135

check if my answer is correct is :

\(135+45=180\\180=180\)

my equation is correct

\(\\ \tt\hookrightarrow 5x+35+45=180\)

\(\\ \tt\hookrightarrow 5x+80=180\)

\(\\ \tt\hookrightarrow 5x=100\)

\(\\ \tt\hookrightarrow x=20\)

Answer:

A. Pontiac

Step-by-step explanation:

Camry's mileage = Miles travelled / gallons of fuel used

= 196 / 11

= 17.82

Pontiacs mileage = Miles travelled / gallons of fuel used

= 220 / 13

= 16.92

Bluck's mileage = Miles travelled / gallons of fuel used

= 356 / 15

= 22.25

Toyotas mileage = Miles travelled / gallons of fuel used

= 583 / 21

= 27.76

The car with the best mileage is Pontiac

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Answer:

enneadecagon

Step-by-step explanation:

The z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.

The z-score measures the distance between a sample mean and the population mean in terms of standard deviations. It is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation divided by the square root of the sample size. In this case, we have a population with a mean (μ) of 80 and a standard deviation (σ) of 12. We need to find the z-score for each of the following sample means: M = 84 for a sample of n = 9 scores, M = 74 for a sample of n = 16 scores, and M = 81 for a sample of n = 36 scores.

For the first scenario, where the sample mean (M) is 84 and the sample size (n) is 9, we can calculate the z-score as follows:

z = (M - μ) / (σ / √n)

Substituting the given values, we get:

z = (84 - 80) / (12 / √9) = 4 / (12 / 3) = 1

Therefore, the z-score corresponding to M = 84 for a sample of n = 9 scores is 1.

For the second scenario, where M = 74 and n = 16, we calculate the z-score as:

z = (M - μ) / (σ / √n)

Substituting the values, we have:

z = (74 - 80) / (12 / √16) = -6 / (12 / 4) = -2

Hence, the z-score corresponding to M = 74 for a sample of n = 16 scores is -2.

Lastly, for the third scenario with M = 81 and n = 36, the z-score can be calculated as:

z = (M - μ) / (σ / √n)

Plugging in the given values:

z = (81 - 80) / (12 / √36) = 1 / (12 / 6) = 0.5

Thus, the z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.

To summarize, the z-scores for the given sample means are as follows: z = 1 for M = 84 with n = 9, z = -2 for M = 74 with n = 16, and z = 0.5 for M = 81 with n = 36. These z-scores represent the number of standard deviations away from the population mean and are useful in determining the relative position of a sample mean within the population distribution.

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