what’s the coefficients of the polynomials?

Answers

Answer 1
Answer:

The numbers preceding a variable

Step-by-step explanation:

The coefficients are the number before the variable.

Finding Coefficients

All variables are multiplied by some coefficient. Sometimes those coefficients are one or another number. Take the variable 5x. The coefficient is 5. Since 5 is the number that comes before the variable, it is the coefficient. Additionally, the variable x has a coefficient of 1 because x is multiplied by 1.

Polynomial Example

Every variable within a polynomial can have a unique variable. For example, 3x⁶+5x³+2x². The first coefficient is 3, then 5, then 2. Coefficients are simply the constants that a variable is multiplied by. It does not matter what the variable is or the exponent.


Related Questions

For the functions f(x)=9x2+8x+2 and g(x)=4x2, find (f+g)(x) and (f+g)(−2)

Answers

We know that the function (f+ g)(x) = 13x^2 + 8x + 2 and (f+ g)(-2) = 38.

Hi! I'd be happy to help you with your question.

Given the functions f(x) = 9x^2 + 8x + 2 and g(x) = 4x^2, we need to find (f+ g)(x) and (f+ g)(-2).

To find (f+ g)(x), simply add the functions f(x) and g(x) together:

(f+ g)(x) = f(x) + g(x) = (9x^2 + 8x + 2) + (4x^2) = 13x^2 + 8x + 2

Now, we need to find (f+ g)(-2) by substituting -2 for x in the combined function:

(f+ g)(-2) = 13(-2)^2 + 8(-2) + 2 = 13(4) - 16 + 2 = 52 - 14 = 38

So, (f+ g)(x) = 13x^2 + 8x + 2 and (f+ g)(-2) = 38.

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19. The functions f and g are defined by f(x) = 2x/x-2 and g(x) = x + 4 respectively. Find
gf.

Answers

Answer:

gf(x) = g(f(x)) = (x+4)(2x/x-2) = 2x^2 + 8x - 8

Find the most important variable in the problem.
If a company hired an additional 12 employees, and every employee needed a
phone, it would require 8 more phones. How many phones does the company
have available now?
OA. the number of employees hired
OB. the money required to purchase phones
OC. the number of phones available

Answers

The number of phones available

SHOW YOUR W
(2x - 1)(3x + 4) = 0

Answers

Answer:

x = 1/2, -4/3

Step-by-step explanation:

(2x - 1)(3x + 4) = 0

We know any number multiplied by 0 will be equal 0.

2x - 1 = 0

2x = 1

x = 1/2

3x + 4 = 0

3x = -4

x = -4/3

So, x = 1/2, -4/3

[tex]2x(3x + 4) - 1(3x + 4) = 0[/tex]

[tex]6 {x}^{2} + 8x - 3x - 4 = 0[/tex]

[tex]6 {x}^{2} + 5x - 4 = 0[/tex]

[tex]6 {x}^{2} + 5x = 4[/tex]

50 POINTS ASAP Use the image to determine the type of transformation shown.

image of polygon ABCD and a second polygon A prime B prime C prime D prime above it

180° clockwise rotation
Horizontal translation
Reflection across the x-axis
Vertical translation

Answers

Since polygon A prime B prime C prime D prime above is above the image of polygon ABCD, the type of transformation shown is: D. vertical translation.

What is a transformation?

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a horizontal translation to the right is modeled by this mathematical equation g(x) = f(x - N) while a vertical translation to the positive y-direction (upward) is modeled by this mathematical equation g(x) = f(x) + N.

Where:

N represents an integer.g(x) and f(x) represent functions.

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Answer:

Vertical translation

Step-by-step explanation:

I am in the middle of taking the quiz and belive this is the correct answer!

Kaylie put $900 in a savings account, earning 11% interest for 7 years. she did not make any additional deposits or withdrawals. what is the amount of interest kaylie earned?​

Answers

Kaylie earned $693 in interest on her savings account.

What was the total amount of money Kaylie had in her savings account after 7 years of depositing $900 and earning 11% interest on it?

Kaylie deposited $900 in a savings account and earned 11% interest on it for 7 years. After the 7-year period, Kaylie earned $693 in interest, which was compounded annually.

This brought the total amount of money in her savings account to $1,593. The power of compounding interest in savings accounts can help grow your money significantly over time.

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In this problem you will only find the models. But make sure that you show all work to support
your answers. Use function notation in your final answers.
Suppose two types of wire will be used to form the edges of a rectangle. The wire used
for the width costs $2.50 per foot and the wire used for the height costs $4.25 per foot. Express the total cost of building the rectangle out of wire as a function of the with if the
enclosed area must be 500 square feet.

Answers

To start, let's call the width of the rectangle "w" and the height "h". We know that the area must be 500 square feet, so we can write an equation:

w*h = 500

We can solve this equation for h:

h = 500/w

Now we can express the total cost of the wire in terms of w. The cost of the wire for the width is $2.50 per foot, so the cost for that side is:

2.5w

The cost of the wire for the height is $4.25 per foot, so the cost for that side is:

4.25h = 4.25(500/w) = 2125/w

So the total cost of the wire is:

C(w) = 2.5w + 2125/w

This is our final answer expressed in function notation.
Let's denote the width of the rectangle as w and the height as h. We are given that the area of the rectangle must be 500 square feet, so we have:

w * h = 500

Now, we need to find the cost function based on the width. The cost of the wire for the width is $2.50 per foot and for the height is $4.25 per foot. Therefore, the total cost (C) can be expressed as:

C(w) = 2.50 * w + 4.25 * h

We need to express the height (h) in terms of the width (w) using the area equation:

h = 500 / w

Now, we can substitute this expression for h in the cost function:

C(w) = 2.50 * w + 4.25 * (500 / w)

This is the cost function for building the rectangle out of wire as a function of its width, given that the enclosed area must be 500 square feet.

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A large corporation with monopolistic control in the marketplace has its average daily costs, in dollars, given by 900 + 100x + x2 C = X = 180,000 – 50x dollars. Find the quantity that gives maximum profit

Answers

The quantity that gives maximum profit is 1,750 units.

To find the quantity that gives maximum profit, we first need to determine the profit function.

Profit = Total Revenue - Total Cost

Total Revenue is given by the price (p) times the quantity (q):

TR = pq

Since the corporation has monopolistic control, it can set the price to maximize profit. We can use the demand function

to find the price that will maximize profit:

Q = 180,000 - 50p

Solving for p, we get:

p = 3,600 - 0.02Q

Now we can substitute this into the profit equation:

Profit =[tex](3,600 - 0.02Q)Q - (900 + 100Q + Q^2)[/tex]

Simplifying:

Profit = [tex]-Q^2 + 3,500Q - 900[/tex]

To find the quantity that gives maximum profit, we can take the derivative of the profit function with respect to Q and

set it equal to zero:

[tex]d/dQ (-Q^2 + 3,500Q - 900) = 0[/tex]

-2Q + 3,500 = 0

Q = 1,750

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WILL GIVE BRAINLYES, 5 STARS, AND A THANKS
Choose an amount between $50.00 and $60.00 to represent the cost of a meal for a family. Be sure to include dollars and cents.


Part A: If the family has a 15%-off coupon, calculate the new price of the meal. Show all work or explain your steps. (2 points)


Part B: Calculate a 20% tip using the new price. What is the final cost of the meal? Show all work or explain your steps. (2 points)

Answers

Answer:

The price of the meal after the discount was (A)$48.11 and the final price of the meal was (B)$57.73.

Step-by-step explanation:

Let us consider the amount of money $56.60 as the cost of the meal.

So the amount of money is 56 dollars and 60 cents.

A: The family has a 15% off coupon.

Discount = 15% of 56.60=0.15x56.60=8.49

Now we subtract the discount amount from the original amount.

Cost of the meal = 56.60-8.49=48.11

So the final price of the meal for the family is $48.11 or 48 dollars and 11 cents.

B: The family gave a tip of 20%.

Amount of money tipped= 20% of 48.11=0.20 x 48.11=9.622

To get the final amount we add the tip to the discounted price.

The final cost of the meal= 48.11+9.622=57.732=57.73

Therefore the family paid a total of 57 dollars and 73 cents for the final cost of the meal after the discount and tip.

Hope this helps :)

the life of light bulbs is distributed normally. the standard deviation of the lifetime is 20 hours and the mean lifetime of a bulb is 580 hours. find the probability of a bulb lasting for at most 624 hours. round your answer to four decimal places.

Answers

The probability of a bulb lasting for at most 624 hours is 0.9861, rounded to four decimal places.

The standard deviation of the lifetime is a measure of how spread out the lifetimes are. In other words, it tells us how much the lifetimes of bulbs vary from the mean. In this case, the standard deviation of the lifetime is 20 hours.

Now, let's get to the question at hand. We want to find the probability of a bulb lasting for at most 624 hours. To do this, we need to use the properties of the normal distribution.

First, we need to calculate the z-score, which tells us how many standard deviations a value is from the mean. We can use the formula z = (x - mu) / sigma, where x is the value we are interested in, mu is the mean, and sigma is the standard deviation. In this case, x = 624, mu = 580, and sigma = 20.

Plugging these values into the formula, we get z = (624 - 580) / 20 = 2.2.

Next, we need to find the probability of a bulb lasting for at most 624 hours, which is the same as finding the area under the normal curve to the left of z = 2.2. We can use a standard normal distribution table or a calculator to find this probability.

Using a calculator, we can use the normal cdf function with the values -9999 (a very large negative number) and 2.2 to find the probability. This gives us a probability of 0.9861.

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A farmer uses a lot of fertilizer to grow his crops. The farmer’s manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B’s fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 21 pounds per batch and fertilizer from distributor B contained 16 pounds per batch. Suppose the population standard deviation for distributor

Answers

Calculated t-value of 6.93 is greater than the critical value, we reject the null hypothesis and conclude that there is strong evidence that the mean amount of nitrogen in distributor A's fertilizer is significantly greater than the mean amount of nitrogen in distributor B's fertilizer.

Since we do not have the population standard deviation, we will need to use the t-distribution for our hypothesis test. We are interested in testing whether the mean amount of nitrogen in distributor A's fertilizer is significantly greater than the mean amount of nitrogen in distributor B's fertilizer.

Let μA be the true mean amount of nitrogen in distributor A's fertilizer and μB be the true mean amount of nitrogen in distributor B's fertilizer. Our null hypothesis is:

H0: μA - μB ≤ 0

The alternative hypothesis is:

Ha: μA - μB > 0

We will use a one-tailed test with a significance level of 0.05. Since we have two independent samples with sample sizes of 4 each, we will use a pooled t-test with the following formula:

t = ([tex]\bar{X1}[/tex] - [tex]\bar{X2}[/tex] - D) / (sP * √(2/n))

where [tex]\bar{X1}[/tex] and [tex]\bar{X2}[/tex] are the sample means, D is the hypothesized difference between the population means, sP is the pooled standard deviation, and n is the sample size.

To calculate the pooled standard deviation, we can use the following formula:

sP = √(((n1-1)*s1² + (n2-1)*s2²) / (n1+n2-2))

where n1 and n2 are the sample sizes, and s1 and s2 are the sample standard deviations.

Plugging in the given values, we get:

[tex]\bar{X1}[/tex] = 21, [tex]\bar{X2}[/tex] = 16

s1 = s2 = 1.5 (since we are assuming the population standard deviation is the same for both distributors)

n1 = n2 = 4

D = 0 (since the null hypothesis is that there is no difference in the means)

sP = √(((4-1)*1.5² + (4-1)*1.5²) / (4+4-2)) = 1.5

Using these values, we get:

t = (21 - 16 - 0) / (1.5 * √(2/4)) = 6.93

Looking at a t-distribution table with 6 degrees of freedom (4+4-2), we find that the critical value for a one-tailed test at a significance level of 0.05 is approximately 1.943. Since our calculated t-value of 6.93 is greater than the critical value, we reject the null hypothesis and conclude that there is strong evidence that the mean amount of nitrogen in distributor A's fertilizer is significantly greater than the mean amount of nitrogen in distributor B's fertilizer.

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Complete Question:

A farmer uses a lot of fertilizer to grow his crops. The farmer's manager thinks fertilizer products from distributor A contain more of the nitrogen that his plants need than distributor B's fertilizer does. He takes two independent samples of four batches of fertilizer from each distributor and measures the amount of nitrogen in each batch. Fertilizer from distributor A contained 23 pounds per batch and fertilizer from distributor B contained 18 pounds per batch. Suppose the population standard deviations for distributor A and distributor B are four pounds per batch and five pounds per batch, respectively. Assume the distribution of nitrogen in fertilizer is normally distributed. Let ?1 and ?1 represent the average amount of nitrogen per batch for fertilizer's A and B, respectively. Calculate the value of the test statistic

Triangle G Y K is shown. Angle G K Y is a right angle. Angle K G Y is 60 degrees and angle G Y K is 30 degrees. The length of G K is 27.
Given right triangle GYK, what is the value of tan(G)?

One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction
StartRoot 3 EndRoot

Answers

The value of tanG is √3

What is trigonometric ratio?

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

sin(tetha) = opp/hyp

cos(tetha) = adj/hyp

tan(tetha) = opp/adj

The value of KY

Tan 30 = 27/KY

1/√3 = 27/KY

KY = 27√3

Tan G = 27√3/27

tanG = √3

therefore the value of tanG is √3

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the expression x^2-8x+6 can be written in the form (x-p)^2+q

Answers

Answer:(x-4)^2-10

Step-by-step explanation:

On february 6, 1995, in sioux falls, south dakota, the temperature dropped from 48°f to –16°f in a period of 8 hours. what was the average change in temperature per hour?

Answers

The average change in temperature per hour during the temperature drop from 48°F to -16°F in Sioux Falls, South Dakota on February 6, 1995, was 8°F per hour.

What was the rate of temperature change per hour during the significant temperature drop in Sioux Falls?

On February 6, 1995, the temperature in Sioux Falls, South Dakota dropped dramatically from 48°F to -16°F in just eight hours. To calculate the average change in temperature per hour, we can use the formula:

Average Change in Temperature per Hour = (Change in Temperature) ÷ (Time)

Using this formula, we can calculate the average change in temperature per hour in Sioux Falls as follows:

Average Change in Temperature per Hour = (48°F - (-16°F)) ÷ 8 hours

Average Change in Temperature per Hour = 64°F ÷ 8 hours

Average Change in Temperature per Hour = 8°F per hour

Therefore, the average change in temperature per hour during that eight-hour period in Sioux Falls, South Dakota was 8°F. This rapid and significant change in temperature was likely due to a strong cold front moving through the area.

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Calculate ∑ (-1)^k pi^2k/2k

Answers

To calculate ∑ (-1)^k pi^2k/2k, we can use the power series expansion for the cosine function:

cos(x) = ∑ (-1)^n x^(2n) / (2n)!

We can substitute pi^2 for x in this formula to get:

cos(pi^2) = ∑ (-1)^n (pi^2)^(2n) / (2n)!
= ∑ (-1)^n pi^(4n) / (2n)!

Now we can compare this to the original series we want to evaluate:

∑ (-1)^k pi^2k/2k = ∑ (-1)^n pi^(2n) / (2n)

We notice that the powers of pi in the two series match up, but the coefficients are different. However, we can use the identity cos(pi^2) = (-1)^n to rewrite the series we want to evaluate as:

∑ (-1)^n pi^(2n) / (2n) = ∑ (-1)^n pi^(4n) / (2n)! * (2n) / pi^2n

= pi^2 / 2 * ∑ (-1)^n pi^(4n) / (2n)!

Now we can substitute our expression for cos(pi^2) into this equation to get:

∑ (-1)^k pi^2k/2k = pi^2 / 2 * cos(pi^2)

= pi^2 / 2 * (-1)^n

Therefore, the value of the series is (-1)^n * pi^2 / 2.
To calculate the sum ∑ (-1)^k (pi^2k)/(2k), it is important to recognize that this is an alternating series with a general term given by a_k = (-1)^k (pi^2k)/(2k).

However, the question seems incomplete, as there is no specified range for the sum (i.e., the values of k). If you provide the range of k for which this sum is to be calculated, I would be glad to help you further.

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Find the curve in the xy plane that passes through the point (9,8) and whose slope at each point is 6 sqrt x

Answers

The equation of curve passing through the point (9,8) with slope [tex]6\sqrt{x}[/tex] is [tex]y = 4\times x^{(3/2)} -100[/tex] .

Slope of curve is given by [tex]6\sqrt{x}[/tex] and curve is passing through point (9,8) .

A curve can be represented in a graph using the standard form of equations. Equation will represent the slope of curve and point through which the curve is passing.

Equation of curve :

Differentiate the slope equation,  

dy/dx =  [tex]6\sqrt{x}[/tex]

dy = [tex]6\sqrt{x}[/tex] dx

Integrating both sides,

Integration rule : [tex]\int\ {x^n} \, dx = x^{n+1}/n+1 + c[/tex]

[tex]y = 6 \times (x^{3/2})/(3/2) +c[/tex]

[tex]y = 4 x^{(3/2)} + c[/tex]

Now substitute (9,8) in the equation of y,

[tex]8 = 4\times (9)^{3/2} + c[/tex]

[tex]c = -100[/tex]

Substitute the value to get the equation of curve,

The equation of curve is [tex]y = 4\times x^{(3/2)} -100[/tex] .

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A lean-to is a shelter where the roof slants down to the ground. The length of the roof of one lean-to is 17 feet. The width of the lean-to is 15 feet. How high is the lean-to on its vertical side?

Answers

The height of the lean-to on its vertical side is 8 feet.

What is the height of a lean-to on its vertical side?

To find the height of the lean-to on its vertical side, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the vertical side is the hypotenuse, and the length and width are the other two sides.

So, we have:

[tex]height^2 = hypotenuse^2 - width^2[/tex]

We know the length of the roof (the hypotenuse) is 17 feet, and the width is 15 feet. So we can plug these values into the equation and solve for the height:

[tex]height^2 = 17^2 - 15^2\\height^2 = 289 - 225\\height^2 = 64\\height = 8[/tex]

Therefore, the height of the lean-to on its vertical side is 8 feet.

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Considera el descuento indicado en cada tabla y calcula los diferentes porcentajes de descuento del mismo articulo​

Answers

The 5% discount is 8.10, Namas divide 42 between the percentage follow me and give me crown.

A discount is a reduction in the price of a product or service offered to customers. It is a common marketing strategy used by businesses to attract customers and increase sales. Discounts can be offered in various forms, such as percentage off, dollar off, or buy-one-get-one-free deals.

Discounts are often used to clear out old inventory, promote new products or services, and to reward customer loyalty. They can be temporary or ongoing, and the amount of the discount can vary depending on the product, service, or promotion. Customers benefit from discounts as they can purchase products or services at a lower price, saving them money. Businesses benefit from discounts as they can increase sales volume, clear out inventory, and attract new customers.

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Complete Question:-

Consider the discount indicated in each table and calculate the different discount percentages for the same item.

Laura is currently paying off her four-year car financing. when she purchased her car, it had a list price of $19,858. laura traded in her previous car, a good-condition 2000 honda insight, for 85% of the trade-in value listed below, financing the rest of the cost at 9.5% interest, compounded monthly. she also had to pay 9.27% sales tax, a $988 vehicle registration fee, and a $77 documentation fee. however, because laura wants to pay off her loan more quickly, she makes a total payment of $550 every month. how much extra is she paying monthly? round all dollar values to the nearest cent.

Answers

Laura is paying each month:

extra payment = $550 - monthly payment

To calculate how much extra Laura is paying each month, we first need to calculate the total cost of her car financing. Here are the steps:

Calculate the trade-in value of Laura's old car. We don't have the exact value, but we know that she received 85% of the trade-in value listed below, so we can set up an equation:

0.85 * trade-in value = value Laura received

Solving for the trade-in value, we get:

trade-in value = value Laura received / 0.85

Add the trade-in value to the list price of the new car to get the total cost before taxes and fees:

total cost before taxes and fees = $19,858 + trade-in value

Add the sales tax, registration fee, and documentation fee to get the total cost of the car financing:

total cost = (1 + 0.0927) * total cost before taxes and fees + $988 + $77

Calculate the monthly payment using the formula for a loan with monthly compounding:

monthly payment = (principal * monthly interest rate) / (1 - (1 + monthly interest rate)^(-number of months))

We know that Laura is financing the rest of the cost after her trade-in value, so:

principal = total cost - value Laura received

monthly interest rate = 0.095 / 12

number of months = 48 (since it's a four-year financing)

Substituting these values into the formula, we get:

monthly payment = ($19,858 + trade-in value - value Laura received) * 0.007916 / [tex](1 - (1 + 0.007916)^{(-48)})[/tex]

Now that we have the total monthly payment, we can calculate how much extra Laura is paying each month:

extra payment = $550 - monthly payment

Note that this assumes that Laura doesn't have any other fees or interest charges on her car financing, such as late payment fees or penalties for paying off the loan early. If there are any additional fees or charges, the calculation may be different.

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Write a note to your pen pal about the kinds of music you like best. In addition, write about any instruments you might play. Be sure you use at least 5-6 complete Spanish sentences in your response. Find the values of x, y, and z. Round answers to the nearest hundredths place, if necessary

Answers

Answer:

Querido/a [Pen pal's name],

¡Hola! Espero que estés bien. Quería escribirte sobre mis gustos musicales. Me encanta la música de todo tipo, pero mis géneros favoritos son el pop y el rock. Me gusta escuchar artistas como Taylor Swift, Ed Sheeran, Coldplay y Queen. También disfruto escuchar música latina como el reggaetón y la salsa.

Además de escuchar música, también me gusta tocar algunos instrumentos. Toco la guitarra y el piano desde hace algunos años y me encanta aprender nuevas canciones y melodías en ambos instrumentos.

Creo que la música es una forma maravillosa de expresión y me encanta poder hacer música yo mismo.

¿Y tú? ¿Qué tipo de música te gusta? ¿Tocas algún instrumento? Me encantaría saber más sobre tus gustos musicales y si tienes algún hobby musical.

Espero tu respuesta pronto. ¡Cuídate mucho!

Saludos cordiales,

[Your name]

x = 4.56

y = 8.24

z = 12.99

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Select the statement that correctly describes the solution to this system of equations. 4x+2y=6

4x+2y=4


A. There is no solutions

B. There are infinitely many solutions

C. There is exactly one solution at (4,2)

D. There is exactly one solution at (6,4)

Answers

Answer:

Step-by-step explanation:

The statement that correctly describes the solution to this system of equations 4x+2y=6 and 4x+2y=4 is "There is no solutions". The correct option is A.

The given system of equations is 4x + 2y = 6 and 4x + 2y = 4.

On comparing the two equations, we notice that the left-hand side of both the equations is the same. However, the right-hand side of the two equations is different. This implies that the lines represented by the two equations are parallel to each other, since they have the same slope but different y-intercepts.

If two lines are parallel, they will never intersect. In this case, since the two equations represent two parallel lines, there is no point of intersection between them. Therefore, the system of equations has no solution.

Hence, the correct answer is A. There is no solution to this system of equations.

In summary, the given system of equations cannot be satisfied simultaneously, since the lines represented by the two equations are parallel to each other and hence do not intersect. Therefore, the system of equations has no solution.

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A magazine listed the number of calories and sodium content​ (in milligrams) for 13 brands of hot dogs. Examine the​ association, assuming that the data satisfy the conditions for inference. Complete parts a and b

Answers

Option B is correct. The relationship is: H0 = 0 there is no linear association between calories and sodium content H1  ≠ 0 there is a linear association between colones and sodium content

The test statistic is 3.75

How to get the correct option

The test statistics can be gotten from the data that we already have available in this question

The coefficient is given as 2.235

The Standard error of the coefficient is given as 0.596

The formula used is given as

Such that t = coefficient /  Standard error

where the coefficient = 2.235

The standard error = 0.596

Then when we apply the formula we have

2.235 / 0.596

t statistic = 3.75

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"Bacteria in a culture can live for an average of two hours with a standard deviation of 15


minutes. How long can we expect at least 75% of the bacteria to live?"

Answers

75% of the bacteria to live for approximately 130.11 minutes


To answer your question, we'll be using the concept of standard deviation and the normal distribution.

Given that the average lifespan of bacteria in a culture is 2 hours (120 minutes) with a standard deviation of 15 minutes, we can expect at least 75% of the bacteria to live for a certain amount of time. Using the normal distribution, we can determine the corresponding z-score for the 75th percentile, which is approximately 0.674.

Now, we can apply the z-score formula:
z = (X - mean) / standard deviation

Rearrange the formula to solve for X (the time at which 75% of the bacteria will live):
X = mean + (z * standard deviation)

Plugging in the given values:
X = 120 + (0.674 * 15) ≈ 130.11 minutes

So, we can expect at least 75% of the bacteria to live for approximately 130.11 minutes.

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Problem 68 An outdoor adventure club has 35 members, who are all either rock climbers or skiers. There are 3 more rock climbers than
there are skiers. How many climbers are there?

WHOEVER ANSWERS FIRST GETS BRAINLIEST AND ANSWER FAST FOR WHOEVER GOTS THE HIGHEST BRAILIEST I WILL GIVE THEM THE BRAINLIEST POINT

Answers

Answer: 14.5 climbers technically 14 because 1/2 a person is wrong

Step-by-step explanation:

The desks in a classroom are organized into four rows of four columns. Each day the teacher


randomly assigns you to a desk. You may be assigned to the same desk more than once. Over the


course of seven days, what is the probability that you are assigned to a desk in the front row


exactly four times?

Answers

The probability of being assigned to a desk in the front row exactly four times over the course of seven days is approximately 0.008, or 0.8%.

There are a total of 16 desks in the classroom, arranged in 4 rows and 4 columns. The probability of being assigned to a desk in the front row is 4/16 = 1/4, since there are 4 desks in the front row.

To calculate the probability of being assigned to a front-row desk exactly 4 times over the course of 7 days, we can use the binomial probability formula:

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

where X is the random variable representing the number of times you are assigned to a front-row desk, n is the number of trials (in this case, 7), k is the number of successes (being assigned to a front-row desk), p is the probability of success on each trial (1/4), and (n choose k) represents the number of ways to choose k successes out of n trials, which is given by the binomial coefficient formula:

(n choose k) = n! / (k! * (n-k)!)

where ! represents the factorial function.

Using this formula, we get:

P(X = 4) = (7 choose 4) * (1/4)^4 * (3/4)^3

P(X = 4) = (35) * (1/256) * (27/64)

P(X = 4) ≈ 0.008

Therefore, the probability of being assigned to a desk in the front row exactly four times over the course of seven days is approximately 0.008, or 0.8%.

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In the addition problem shown, each letter represents a different digit. If GOD=605, what number does MOVED represent?​

Answers

The number does MOVED represent 1110.

How determine  what number does MOVED represent?

Since GOD=605, we know that D=5. We can now substitute this value of D into the addition problem to get:

GOD+ DOG = MOVED

605+ 506 = 1111

Since M cannot be 0 (otherwise it wouldn't be a 4-digit number), we know that M=1.

We can now subtract 1 from both sides of the equation to get:

604+ 506 = 1110

Now we can see that E+4=10, so E=6. We can also see that O+0=0, so O=0. Finally, we can see that G+D=1, so G=6 and D=5.

Therefore, MOVED = 1110.

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Casey bought an 100 pound bag of dog food . He gave his dogs the same amount of dog food each week. the dog food lasted eight weeks. How much dog food did Cassie give his dogs each week? give the answer as a fraction or a mixed number

Answers

casey gave his dog 12.5 pounds of food per week. 100 pounds for 8 weeks is 100 divided by 8 which is 12.5

Choosing only among rectangle,rhoumbos,square, name all parallelograms that have the following property

Answers

Among rectangles, rhombuses, and squares, all three of these shapes are parallelograms that have specific properties.

A rectangle is a parallelogram with four right angles. Its opposite sides are equal and parallel, and it has diagonals that are equal in length and bisect each other.

A rhombus, on the other hand, is a parallelogram with all four sides being equal in length. Like a rectangle, its opposite sides are parallel, but it does not necessarily have right angles. The diagonals of a rhombus are perpendicular bisectors of each other, meaning they intersect at a 90-degree angle and divide each other into two equal parts.

Finally, a square is a special type of parallelogram that combines the properties of both rectangles and rhombuses. It has four equal sides and four right angles, making it a unique shape. The diagonals of a square are equal in length, bisect each other, and are also perpendicular bisectors.

In conclusion, rectangles, rhombuses, and squares are all parallelograms with distinct properties. Rectangles have right angles and equal opposite sides, rhombuses have equal sides and diagonals that are perpendicular bisectors, and squares possess all the properties of both rectangles and rhombuses.

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How many of the shapes below are trapeziums?​

Answers

Answer:

2

Step-by-step explanation:

The K and N are the trapeziums and the two lines opposite to them go in a parallel line

(co 4) market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.7 million. if this estimate was based on a sample of 10 customers, what would be the 90% confidence interval?

Answers

The 90% confidence interval of the new product has the potential to make the company an additional $3.8 million is (2.81, 4.79), option B.

Confidence intervals quantify how confident or uncertain a sampling technique is. They can take any number of probability thresholds, with a 95% or 99% confidence level being the most popular. The calculation of confidence intervals is done using statistical techniques like the t-test.

[tex]\bar x = $3.8[/tex]

sample standard deviation = s =1.7

sample size = n =10

Degrees of freedom = df = n - 1 = 10 - 1 = 9

At 90% confidence level

[tex]\alpha[/tex] = 1 - 90%

[tex]\alpha[/tex] =1 - 0.90 =0.1

[tex]\alpha/2[/tex] = 0.05

[tex]t\alpha/2[/tex] ,df = t0.05,9 =1.833

At 90% confidence level, the critical value is t = 1.833

The 90% confidence interval is:

[tex]\bar x \pm t*\frac{s}{\sqrt{n} }[/tex]

[tex]=3.8\pm 1.833*\frac{1.7}{\sqrt{10}}\\\\=3.8\pm 0.99[/tex]

=(2.81,4.79).

Therefore, 90% confidence interval estimate of the population mean is, (2.81,4.79).

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Complete question:

Market research indicates that a new product has the potential to make the company an additional $3.8 million, with a standard deviation of $1.7 million. If this estimate was based on a sample of 10 customers, what would be the 90% confidence interval? (2.76, 4.84) O (2.81, 4.79) (2.11, 5.56) (3.06, 4.54)

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