PLEASE HELP. What constant should be added to the binomial x2 + 5x so that it
becomes a perfect square trinomial?

Answer:

Step-by-step explanation:

it think it 23 becasue u add

1 divide it by 2

Answer:

5,750,000,000

Step-by-step explanation:

5.75 × 109 written in regular notation is 5,750,000,000

Which also is in standard form

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Answer:

It would be a lot of bavgeria

Answer:

450000

Step-by-step explanation:

125×(60×60)

=125×3600

=450000

Answer:759

Step-by-step explanation:

Y = 20x - x^2. (Parabola curve)

Area of curve in [ 0,20 ]

Part A. 5 rectangles

Each rectangle measures

Base1 =20/5 = 4

Height1 = 20•4- 4^2 = 64

Base2= 4

Height2 = 20•8 - 8^2 = 96

Base3= 4

Height3= 20•12 -12^2 = 96

Base4 = 4

Height4= 20•16 - 16^2 = 64

Base5= 4

Height5 = 20•20 - 20^2 = 0

Then area under curve is = 4x (64+96+96+64+0)

. = 4 x 320 = 1280

Part B) 10 rectangles

Then

Base of rectangles= 20/10 = 2

Heights of rectangles= 20•2 - 2^2 = 36

. = 20•4 - 4^2 = 64

. = 20•6 - 6^2 = 84

. = 20•8 - 64 = 96

. = 20•10 - 100= 100

. = 20•12 - 144= 96

. = 20•14 - 196 = 84

. = 20•16 - 256 = 64

. = 20•18 - 324 = 36

Then now AREA IS = 2x (36+64+84+96+100+96+84+64+36)

. = 2x 660

. = 1320

Part C) Area under the curve, with infinite rectangles

Base of rectangles = 20/X

X goes to infinity

Height of rectangles = 20•(20/x) + (20/x)^2

Answer: 18, 24, 30

Step-by-step explanation:

For the segments to create a right triangle, they must satisfy the Pythagorean theorem.

The only set which satisfies the Pythagorean theorem, is 18, 24, 30, since \(18^{2}+24^{2}=30^{2}\)

Aircraft A has 312 seats.

Let's assume that Aircraft B has x seats.

According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.

The total number of seats in both aircraft is 519, which can be represented by the equation:

x + (x + 105) = 519

Simplifying this equation, we have:

2x + 105 = 519

Subtracting 105 from both sides, we get:

2x = 414

Dividing both sides by 2, we find:

x = 207

Therefore, Aircraft B has 207 seats.

To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:

Aircraft A = 207 + 105 = 312

Hence, Aircraft A has 312 seats.

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1) The probability distribution of the average weekly earnings for employees in general automotive repair shops is the sampling distribution of the sample mean. According to the Central Limit Theorem, if the sample size is large enough, the sampling distribution of the sample mean is approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

2) To find the probability that the average weekly earnings is less than $445, we can standardize the sample mean and use a z-table. The z-score for $445 is calculated as follows: z = (445 - 450) / (50 / sqrt(100)) = -1. Using a z-table, we find that the probability that the average weekly earnings is less than $445 is approximately 0.1587.

3) Since we are dealing with a continuous distribution, the probability that the average weekly earnings is exactly equal to any specific value is zero.

4) To find the probability that the average weekly earnings is between $445 and $455, we can subtract the probability that it is less than $445 from the probability that it is less than $455. The z-score for $455 is calculated as follows: z = (455 - 450) / (50 / sqrt(100)) = 1. Using a z-table, we find that the probability that the average weekly earnings is less than $455 is approximately 0.8413. Therefore, the probability that it is between $445 and $455 is approximately 0.8413 - 0.1587 = 0.6826.

5) In answering questions 2-4, we made an assumption about the population distribution based on the Central Limit Theorem. We assumed that since our sample size was large enough (n=100), our sampling distribution would be approximately normal.

6) If we assume that weekly earnings for employees in all general automotive repair shops are normally distributed with a mean of $450 and a standard deviation of $50, then we can calculate the z-score for an employee earning more than $480 in a given week as follows: z = (480 - 450) / 50 = 0.6. Using a z-table, we find that the probability that an employee will earn more than $480 in a given week is approximately 1 - 0.7257 = 0.2743.

Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

1. integrate 75x ^ 4 * cos(5x ^ 5 - 3) dx

Integral by substitution

2. integrate 3cos u du

Isolate the coefficient

3 * integrate cos u du

Evaluate the integral

4. 3sin u

Simplify and add the C

= 3sin(5x ^ 5 - 3) + C

Answer

3sin(5x ^ 5 - 3) + C

hope this will help u

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Answer:

\(3sin(5x^{5} -3) + C\)

Step-by-step explanation:

\(\frac{d}{dx}[sin (ax^{n}+b)] = [anx^{n-1}cos(ax^{n} + b)]\)

a and b are constants

∴\(\frac{d}{dy} sin(5x^{5} -3) = [(5)(5)x^{5-1}-0] cos(5x^{5} -3)\)

                         = \(25x^{4} cos(5x^{5} -3)\)

\(\int\ {75x^{4}cos(5x^{5} -3)} \, dx\)

Rewriting the above by applying algebraic manipulation:

\(\int\ (3)(25){x^{4}cos(5x^{4} -3)} \, dx\)

=\(3[\int\ 25{x^{4}cos(5x^{5} -3)} \, dx]\)

= \(3sin(5x^{5} - 3) + C\)

C is a constant, which is added to the above integration because there are no limits set. In other words, this is an indefinite integral.

Check the picture below.

The constant of proportionality of the equation y =−7.48​x is - 7.48.

Proportional relationships are relationships between two variables where their ratios are equivalent

In other words, two variables have a proportional relationship if the ratios of the variables are equivalent.

Therefore, a proportional relationship is one in which two quantities vary directly with each other.

Hence, in mathematical form,

y ∝ x

y = kx

where

y varies directly as the variable x.

In the equation,

k = - 7.48

Therefore, the constant of proportionality  is - 7.48.

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Answer: The new number is 1.44% smaller than the original.

=========================================================

Explanation:

To increase by 12%, we involve the multiplier 1.12

Think of 1.12 as 100% + 12% = 1 + 0.12 = 1.12

We go from x to 1.12x

To decrease by 12%, we will use the multiplier 0.88 because 1 - 0.12 = 0.88

Think of it like a discount. If you save 12%, then you pay the remaining 88%

So 0.88*1.12x = 0.9856x

The value 0.9856 is smaller than 1, meaning that overall we have a net discount going on.

The discount rate is 1 - 0.9856 = 0.0144 = 1.44%

In other words, x ultimately goes down by exactly 1.44%

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

If you want to use an actual number to see an example, let's go for x = 100

Increasing 100 by 12% means we increase by 0.12*100 = 12

We go from 100 to 112

Then decreasing by 12% means the value goes down by 0.12*112 = 13.44 and drops to 112-13.44 = 98.56

The original value 100 becomes the final value 98.56

This is a percent decrease of (100-98.56)/100 = 0.0144 = 1.44%

Answer:

302

Step-by-step explanation:

Tn=a+(n-1)d

38=8+[6-1)d

38-8=5d

30/5=d

6=d

Tn=a+(n-1)d

8+(50-1)6

=8+(49)6

302

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.

Sample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18

= 480 / 18

≈ 26.667

Sample Standard Deviation (s):

= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))

≈ ✓(319.778 / 17)

≈ ✓(18.81)

≈ 4.336

Confidence level = 99%

Sample Size (n) = 18

Sample Mean = 26.667

Sample Standard Deviation (s) = 4.336

Degrees of Freedom (df) = n - 1 = 18 - 1 = 17

Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.

Margin of Error (E) = 2.898 * (4.336 / ✓18))

≈ 3.748

Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)

= (22.919, 30.415)

We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.

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Answer:

60 ft²

Step-by-step explanation:

A = 1/2 × b × h

A = 1/2 × 12ft × 10ft

A = 1/2 × 120 ft

A = 60ft²

Answer: 80%

Step-by-step explanation:

divide 120 by 150 and you get .8 then you move the decimal over 2

Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

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Answer:

The last one looks like its not true

Answer:

Step-by-step explanation:

4) looks wrong , or untrue.  

Since the sides are different hence the value of y has no solution

Given the equation 0.5y-2 2/5=1/2y+2.4

This can be further expressed as:

Collect the like terms

0.5y - 0.5 y = 2.4 + 2.4

0y = 4.8

Since the sides are different hence the value of y has no solution

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Answer:60°

Step-by-step explanation:I don't say u must have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....

Answer:

A.

60°

Hope its right.

Step-by-step explanation:

Answer:

L = 1/2(P) - W

Step-by-step explanation:

Step 1: Flip the equation.

Step 2: Subtract 2W from both sides.

Step 3: Divide both sides by 2.

Therefore, the answer is \(L = \frac{1}{2}P - W\)

10√2

Step-by-step explanation:

i thin so it will be ans

The statements supported by the data in the table are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

To determine which statements are supported by the data in the table, let's analyze the given information:

The mean number of cars sold in a month is the same at both dealerships.

To calculate the mean, we need to find the average number of cars sold each month at each dealership.

For Admiral Autos:

(4 + 19 + 15 + 10 + 17) / 5 = 65 / 5 = 13

For Countywide Cars:

(9 + 17 + 14 + 10 + 15) / 5 = 65 / 5 = 13

Since both dealerships have an average of 13 cars sold per month, the statement is supported.

The median number of cars sold in a month is the same at both dealerships.

To find the median, we arrange the numbers in ascending order and select the middle value.

For Admiral Autos: 4, 10, 15, 17, 19

Median = 15

For Countywide Cars: 9, 10, 14, 15, 17

Median = 14

Since the medians are different (15 for Admiral Autos and 14 for Countywide Cars), the statement is not supported.

The total number of cars sold is the same at both dealerships.

To find the total number of cars sold, we sum up the values for each dealership.

For Admiral Autos: 4 + 19 + 15 + 10 + 17 = 65

For Countywide Cars: 9 + 17 + 14 + 10 + 15 = 65

Since both dealerships sold a total of 65 cars, the statement is supported.

The range of the number of cars sold is the same for both dealerships.

The range is determined by subtracting the lowest value from the highest value.

For Admiral Autos: 19 - 4 = 15

For Countywide Cars: 17 - 9 = 8

Since the ranges are different (15 for Admiral Autos and 8 for Countywide Cars), the statement is not supported.

The data for Admiral Autos shows greater variability.

To determine the variability, we can look at the range or consider the differences between each data point and the mean.

As we saw earlier, the range for Admiral Autos is 15, while for Countywide Cars, it is 8. Additionally, the data points for Admiral Autos are more spread out, with larger differences from the mean compared to Countywide Cars. Therefore, the statement is supported.

Based on the analysis, the statements supported by the data are:

The mean number of cars sold in a month is the same at both dealerships.

The total number of cars sold is the same at both dealerships.

The data for Admiral Autos shows greater variability.

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Answer: 20, and 52

Step-by-step explanation: lets "translate" the sentence

one number=a

the other numebr b=2a+12

a+b=72

a+2a+12=72

3a=72-12

3a=60

a=60/3=20

a=20

b=52

a=b=72

Answer:

B.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

you can find the answer with a simple addition problem

Step-by-step explanation:

128-49=79

\( \large \boxed {y - y_1 = m(x - x_1)}\)

\(y_1 = 3 \\ x_1 = - 4 \\ m = 2\)

\(y - 3 = 2(x - ( - 4)) \\ y - 3 = 2(x + 4)\)

\( \large \boxed {y - 3 = 2(x + 4)}\)