what are the two solutions to the following equation? d squared/4 +43=52

Answer:

32

Step-by-step explanation:

No worries! You can do this!

What we are going to do, is substitute 10 in for X.

8(x-6)

8(10-6)

8(4)

8 x 4

32

The answer is 32.

Have a great day,

PumpkinSpice1♥

Answer:

8(10-6) = 8(4) = 32

8(6-6) = 8(0) = 0

8(2-6) = 8(-4) =-32

Answer: 2x^2

Step-by-step explanation:

    (x+5)

 x (2x - 9)

-----------------

X times 2x = 2x^2

Answer:

90 possible outcomes.

Step-by-step explanation:

In order to find the total number of combinations possible you simply need to multiply the total number of each options with one another. For example, the number of options in each category are the following

types: 5

toppings: 6

size: 3  (small, medium, large)

Now we simply need to multiply all three of these numbers together to find the total number of possible outcomes.

5 * 6 * 3 = 90 possible outcomes.

Answer:

Step-by-step explanation:

a= 3(x+11)

B=9(x+8)

C=5(x+5)

D=3(3x+2)

To perform a hypothesis test we use students' t distribution.

What is a hypothesis test?

A statistical hypothesis test is a technique for determining if the available data are sufficient to support a specific hypothesis. We can make probabilistic claims regarding population parameters thanks to hypothesis testing.

Here, we have

Given, the population mean is 13. the sample mean is 12.8, and the sample standard deviation is two. the sample size is 20.

We have to find distribution to perform a hypothesis test.

The students t distribution is used when

1- sample size less than 30. Here 20.

2-population standard deviation not given.

3-population is normal.

Hence, we concluded that to perform a hypothesis test we use students' t distribution.

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Multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

The standard deviation is a measure of the amount of variation or dispersion in a set of data points. It is calculated as the square root of the variance, which is the average of the squared differences between each data point and the mean.

When every score in a sample is multiplied by 3, it effectively changes the scale of the data. The original values are now three times larger, resulting in a larger spread of values around the mean. As a result, the variance and standard deviation will also be three times larger, since they are based on the squared differences between the data points and the mean.

Therefore, multiplying every score in a sample by 3 will change the value of the standard deviation, making the statement "multiplying every score in a sample by 3 will not change the value of the standard deviation" false.

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The probability that three numbers are the solution of the equation is 1/27.

The total possible outcome or numbers in the is 27.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27.

total = 27

xyz = 27

(1)(3)(9) = 27

probability of the numbers whose product is 27 is calculated as follows;

p = possible numbers / total outcome

p = 1/27

Thus, the probability that three numbers are the solution of the equation is 1/27.

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Answer:

C.

If Carlos doesn’t study at all, his grade will be 50%.

Step-by-step explanation:

If Carlos doesn’t study at all, his grade will be 50%.

Check Answer

Correct. If Carlos spends 0 hours studying, his grade will be 50%.

The American Heart Association provides a variety of delicious and easy-to-make recipes that are not only tasty but also heart-healthy.

These recipes are designed to be lower in sodium and lower in fat, making them a great choice for maintaining a healthy heart.

To find and save these recipes, you can visit the American Heart Association's official website or use their mobile application. They offer a wide range of recipes in various categories, including breakfast, lunch, dinner, snacks, and desserts. You can search for recipes based on your dietary preferences, ingredients, and cooking time.

By incorporating heart-healthy recipes into your meal planning, you can enjoy flavorful and nutritious meals while taking care of your cardiovascular health.

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The correct answer is boosting.

Given that,

The four tree-based techniques are boosting, bagging, random forests, and decision trees. Which method uses bootstrapped samples, or the process of repeatedly obtaining random samples from training data and replacing them?

Boosting is an emsemble machine learning approach, where we use bootstrapping sampling technique to get the required samples. It helps in the reduction of variance and thus bring in less bias in the sampling approach. Therefore boosting is the correct answer here.

In order to gather the necessary samples for boosting, we employ the bootstrapping sampling technique. It aids in lowering variance, which reduces bias in the sampling strategy. Thus, boosting is the appropriate response in this case.

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Answer:

-3p

Step-by-step explanation:

Answer:

-3p

Step-by-step explanation:

5p - 4p = 1p - 4p = -3p

The equation for the tangent line to the graph of f at x = 9 is y = 5x - 43.

To find the equation for the tangent line, we need to determine the slope of the tangent line at x = 9 and the corresponding y-coordinate on the graph. The slope of the tangent line is equal to the derivative of the function f at x = 9, and the y-coordinate is f(9).

First, let's find the derivative of f(x). Using the quotient rule, we differentiate f(x) = (x - 8) / (2x + 4) as follows:

f'(x) = [(2x + 4)(1) - (x - 8)(2)] / (2x + 4)^2

      = (2x + 4 - 2x + 16) / (2x + 4)^2

      = 20 / (2x + 4)^2

Now, we can evaluate the derivative at x = 9 to find the slope of the tangent line:

f'(9) = 20 / (2(9) + 4)^2

     = 20 / (22)^2

     = 20 / 484

     = 5 / 121

Next, we find the y-coordinate on the graph by evaluating f(9):

f(9) = (9 - 8) / (2(9) + 4)

    = 1 / 22

Now, we have the slope and the point (9, 1/22) to form the equation of the tangent line using the point-slope form:

y - y₁ = m(x - x₁)

Plugging in the values, we get:

y - (1/22) = (5 / 121)(x - 9)

y - 1/22 = (5 / 121)x - (45 / 121)

y = (5 / 121)x - (45 / 121) + (1/22)

y = (5 / 121)x - 43 / 121

Thus, the equation for the tangent line to the graph of f at x = 9 is y = (5 / 121)x - 43 / 121.

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Answer:

c, f

Step-by-step explanation:

c. 72/9=8

f. 198/9=22

Answer:

C.72

Step-by-step explanation:

9*6=54 so b No

9*8=72 so c Yes

9*10= 90 so d No

9*16=144 so e NO

9*22=198 so f Yes its divisible but not exactly because exactly means under 100

Answer:

2/3

Step-by-step explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3

Answer:

2/3

Step-by-step explanation:

h = height of the cone

Vcone = πr²h/3

H = h/2 = height of the cylinder

Vcylinder = πr²H = πr²h/2

Vcone/Vcylinder = (πr²h/3)/(πr²h/2)

= πr²h/3 x 2/πr²h

= 2/3

The value of the car after 8 years is $9,039.81

What is the Percentage?

Percentage, which is a relative figure used to denote hundredths of any amount. Since one per cent is equal to one-tenth of anything, 100 percent stands for everything, while 200 percent refers to double the amount specified.

As an illustration, 1% of 1,000 chickens is equivalent to 1/100 of 1,000, or 10 birds, and 20% of the quantity is equal to 20% of 1,000, or 200. These relationships may be generalized as x = PT/100 where x is the amount equal to a certain percentage P of T and T is the total reference quantity selected to represent 100%. As a result, T is 1,000, P is 1, and x is determined to be 10 in the case of 1 percent of 1,000 chickens.

As we can see each year 10% of the actual value of a car the decrease

For example, $21,000 decreased to $18,900

21000-18000/21000 = 0.1x 100% = 10%

Next year

$18,900 decreased to $17,010

18900-17010/18900 = 0.1x100% = 10%

in 6th year the price will be

12400.29 - 1240.029 = $11,160.261

in 7th year the price will be

11,160.261-11,16.0261=$10,044.2349

in 8th year the price will be

10,044.2349-10,04.42349=$9,039.81

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Given:

The figure of a right triangle.

To find:

The measure of x.

Solution:

According to the altitude on hypotenuse theorem, the length of the altitude is the geometric mean of segments of the hypotenuse.

Let "h" be the height  of the altitude and it divides the hypotenuse if two pieces of lengths "a" and "b", then

\(h=\sqrt{ab}\)

In the given figure, 14 is the height  of the altitude and it divides the hypotenuse if two pieces of lengths 24 and x. So, by using the altitude on hypotenuse theorem, we get

\(14=\sqrt{24x}\)

Taking square on both sides.

\(196=24x\)

\(\dfrac{196}{24}=x\)

\(\dfrac{49}{6}=x\)

Therefore, the value of x is \(\dfrac{49}{6}\) units and its approximate value is 8.167 units.

The website gets, on average, 24 hits per hour.

To answer this question using a Poisson process, we first need to find the average rate of hits per hour. Given that the website gets 4 hits every 10 minutes, we can calculate the average hits per hour by multiplying the hits per 10 minutes by 6 (since there are six 10-minute intervals in an hour).

So, 4 hits/10 minutes * 6 = 24 hits per hour. The Poisson process allows us to model the number of hits as a random variable with an average rate of 24 hits per hour, making it suitable for predicting the number of hits in different time intervals.

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After 22 thousand cell phones have been sold, sales are increasing by 3 thousand phones per month. 0.180y (1-y/90) is the differential equation describing cell phone sales.

The Logistic model is given by,

dy/dt = ry (1-y/m)

where r is the rate constant.

M is the maximum capacity.

plugin M,

dy/dt = ry (1-y/90)

Now we need to find rate constant r,

put y = 22, y' = 3

3 = 22r (1- 22/90)

3 = 22r (1- 90-22/90)

3 = 22r (68/90)

3 = 11r (68/45)

748r = 135

r = 135/78

r = 0.180481283422.

rounding off to 3 decimals,

r = 0.180

Now the final differential equation becomes,

dy/dt = 0.180y (1-y/90).

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Step-by-step explanation:

D= rt

Where D is distance r is rate and t is time

15 < r3

15/3 < r

5< r

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The swimming rate of a manatee swims for 15 miles in 3 hours is given as,

Rate > 15 / 3

Rate > 5 miles per hour

The inequality is Rate > 15 / 3. And the swimming rate of a manatee swims for 15 miles in 3 hours will be 5 miles per hour.

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Answer:

Step-by-step explanation:

take 55 degree as reference angle

using tan rule

tan 55=opposite/adjacent

1.42=37/x

x=37/1.42

x=26.05

Answer:

≈3.61 (3 significant figures)

Step-by-step explanation:

Distance formula:

\(d = \sqrt{(x^2-x_{1})^2 + (y^2 - y_{1})^2\)

Find the two coordinates:

Point A: (-5,3) --> x1 and x2

Point B: (-2,1) --> y1 and y2

Then just plug in the coordinates by the corresponding terms in the formula.

DONE! :)

Answer:

they are all x

Step-by-step explanation:

To price the derivative using the two-period binomial model, we need to calculate the expected payoff of the derivative using the risk-neutral probabilities.

The possible outcomes for the two-period binomial model are H and T,  there are four possible states of the world: HH, HT, TH, and TT.

To calculate the expected payoff we need to calculate the probability of each state occurring. The probability of HH occurring is pp=0.60.6=0.36, the probability of HT and TH occurring is pq+qp=0.60.4+0.40.6=0.48, and the probability of TT occurring is qq=0.40.4=0.16.

Next, we can calculate the expected payoff in HH and TT states, the derivative pays off 1, and in the HT and TH states, the derivative pays off 0. The expected payoff of the derivative in the HH and TT states is 10.36=0.36, and the expected payoff in the HT and TH states is 00.48=0.

We need to discount the expected payoffs back to time 0 using the risk-neutral probabilities.

The probability of that state occurring multiplied by the discount factor, which is 1/(1+r), where r is the risk-free interest rate.

Since this is a risk-neutral model, the risk-free interest rate is equal to 1. Therefore, the risk-neutral probability of each state occurring is

HH: 0.36/(1+1) = 0.18

HT/TH: 0.48/(1+1) = 0.24

TT: 0.16/(1+1) = 0.08

Finally, we can calculate the price of the derivative

Price = 0.181 + 0.240 + 0.240 + 0.081 = 0.26

Therefore, the price of the derivative is 0.26.

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(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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Histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

Histogram is used to summarize discrete or continuous data measured on an interval scale. It is often used to describe key features of the distribution of data in a practical way.

A histogram divides the range of possible values ​​in a data set into different classes or groups. For each group, a rectangle is created with a base length equal to the range of values ​​in that particular group and a length equal to the number of observations that fall into that group.

Histograms are similar to column charts, but there are no gaps between the bars. Histograms generally have equal width bars.

Thus, it can be concluded that histograms are used to determine the empirical distribution of a variable. Therefore, option (e) is the correct one.

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Answer:

k = \(\frac{2}{3}\)

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportion

y = \(\frac{2}{3}\) x ← is in this form

with k = \(\frac{2}{3}\)

Answer:

y=-4x-3

Step-by-step explanation:

y=mx+b

y=b=-3 ( y intercept is when x=0, then y=b=-3)

y=-4x-3

Answer:

D

Step-by-step explanation:

The maximum error in the estimate ∑[n=1 to 2] (2n+3) 21​ is ln(2∞+3) - ln(7).

To use the Remainder Estimate for the Integral Test, we need to determine if the given series ∑(2n+3) 21​ is convergent.

First, let's check the convergence of the series by applying the Integral Test. The Integral Test states that if f(x) is a positive, continuous, and decreasing function on the interval [1, ∞), and the terms of the series are given by a_n = f(n), then the series ∑a_n converges if and only if the improper integral ∫[1, ∞] f(x) dx is convergent.

In this case, the series can be written as ∑(2n+3) 21​. The function f(x) = (2x+3) 21​ is positive, continuous, and decreasing on the interval [1, ∞). Therefore, we can apply the Integral Test.

Let's evaluate the integral:

∫[1, ∞] (2x+3) 21​ dx

Integrating, we get:

∫[1, ∞] (2x+3) 21​ dx = [ln|(2x+3)|]1∞

Evaluating the integral limits, we have:

[ln|(2∞+3)|] - [ln|(2(1)+3)|] = ln(2∞+3) - ln(5)

Since the integral converges, the given series ∑(2n+3) 21​ is also convergent.

Now, we can use the Remainder Estimate for the Integral Test to find the maximum error in the estimate.

The remainder term for the Integral Test is given by:

R_n = ∫[n, ∞] f(x) dx

In our case, f(x) = (2x+3) 21​.

To find the maximum error in the estimate, we need to determine the remainder R_2, as we are given the estimate ∑[n=1 to 2] (2n+3) 21​.

R_2 = ∫[2, ∞] (2x+3) 21​ dx

Integrating, we get:

∫[2, ∞] (2x+3) 21​ dx = [ln|(2x+3)|]2∞

Evaluating the integral limits, we have:

[ln|(2∞+3)|] - [ln|(2(2)+3)|] = ln(2∞+3) - ln(7)

Therefore, the maximum error in the estimate ∑[n=1 to 2] (2n+3) 21​ is ln(2∞+3) - ln(7).

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Complete question:

What is the maximum error in the estimate of the series ∑(2n+3)²(2/1) from n=1 to infinity, using the Remainder Estimate for the Integral Test, if the estimate is given by the sum of the first two terms: 25/1 + 49/1?