Q5. Use substitution method to find each Integral. So"(x + 1)2 - x dx use u = 2 - x

Answer:

Step-by-step explanation:

ok pls give brainliest im almost lvled up.

Answer:

Good for Ethan. Wait who is Ethan?

Step-by-step explanation:

The probability that none of the four children will have galactosemia, assuming neither Susan nor her husband carries the gene, is approximately 0.99995 or 99.995%

To determine the probability that none of the four children will have galactosemia, we need to know the prevalence of galactosemia in the general population.

Galactosemia is a rare genetic disorder, and the prevalence can vary depending on the population studied.

Let's assume that the prevalence of galactosemia is 1 in 20,000 births, which is a rough estimate for some populations. This means that the probability of a randomly selected individual having galactosemia is 1/20,000.

Since galactosemia is a genetic disorder, we also need to consider whether Susan and her husband carry the gene for galactosemia. If neither Susan nor her husband carries the gene, the probability that any of their children will have galactosemia is extremely low.

Let's assume that both Susan and her husband are not carriers of the gene for galactosemia. In this case, the probability that each of their children will not have galactosemia is 1 - (1/20,000), which is essentially equal to 1.

Since the events of having galactosemia or not having galactosemia in each child are independent, we can multiply the probabilities together to find the probability that none of the four children will have galactosemia:

P(None of the four children have galactosemia) = (1 - 1/20,000)^4

Calculating this probability gives us approximately:

P(None of the four children have galactosemia) ≈ 0.99995

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Answer:

i think a. srry if im wrong,

Step-by-step explanation:

have a nice day:)

The Ratio Test cannot be used to determine whether the given series is convergent or divergent. The evaluation of the limit resulted in 1, which does not provide any information about the convergence or divergence of the series.

To determine whether the series is convergent or divergent, we can use the Ratio Test. Using the terms given in the question, we can write:
an = 8n
an+1 = 8(n+1)
Using these expressions, we can evaluate the limit:
lim n → [infinity]  (an+1/an)
= lim n → [infinity]  (8(n+1)/8n)
= lim n → [infinity]  (n+1)/n
We can simplify this expression by dividing both the numerator and denominator by n:
lim n → [infinity]  (n/n + 1/n)
= lim n → [infinity]  (1 + 1/n)
As n approaches infinity, the expression (1/n) approaches zero, so we have:
lim n → [infinity]  (1 + 1/n) = 1
Since the limit is equal to 1, we cannot make any conclusion about the series using the Ratio Test. We would need to use another test, such as the Comparison Test or the Limit Comparison Test, to determine whether the series is convergent or divergent.
In conclusion, the Ratio Test cannot be used to determine whether the given series is convergent or divergent. The evaluation of the limit resulted in 1, which does not provide any information about the convergence or divergence of the series.

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Answer:

6

chaperones will be needed.

Step-by-step explanation:

1 to 25 students require (at least) 2 chaperones.

26 to 50 students require (at least) 4 chaperones.

51 to 75 students require (at least) 6 chaperones.

This is an example of use of the ceiling function.

The ceiling of a value  

x

(sometimes written as  

⌈

x

⌉

) is defined as the smallest integer greater than or equal to  

x

.

In the given example we are asked for

XXX

2

×

⌈

53

25

⌉

XXXXXXXXX

which is  

6

Answer:

Correct answer is 5

Step-by-step explanation:

2 chaperones are needed per 25 kids, there are 53 kids so 25+25=50 so 4 chaperones there, and there is an odd number so just add 1 and you got 5:)

Answer:

\(\sqrt{136}\)

Step-by-step explanation:

Formula for Pythagorean theorem: \(a^{2} +b^{2} = c^{2}\)

Plug in:

\(6^{2}+10^2=x^2\)

Solve:

36 + 100 = \(x^{2}\)

136 = \(x^{2}\)

\(\sqrt{136}\) = x

The answer is \(\sqrt{136}\).

Hope this helped.

Answer:

2(x+2)(x+4)

Step-by-step explanation:

The Babylonian approximation 3;41 is equal to 3.683, which is very close to the correct value of 3.637. we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side.

First, we need to convert the Babylonian approximation 3;41 into a decimal. To do this, we divide 41 by 60, which is equal to 0.683. Then, we add this decimal to the whole number 3, resulting in 3.683.

Next, we need to calculate the correct value for the ratio of the area of a regular heptagon to the square of a side. To do this, we use the equation A = (7/4)s^2, where A is the area of the heptagon and s is the length of the side. We can rearrange this equation to become (A/s^2) = (7/4). This results in a value of 3.637 for the ratio.

Finally, we compare the two values. 3.683 is very close to 3.637, so the Babylonian approximation is accurate.

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Answer:

The drama club bought 35 t-shirt

Step-by-step explanation:

Let

t-shirt = x

Sweatshirt = y

Total cost = $795

They purchase 20 more tshirts than sweatshirts

x = y + 20

The equation is:

12x + 25y = 795

12(y + 20) + 25y = 795

12y + 240 + 25y = 795

37y = 795 - 240

37y = 555

y = 15

Substitute y = 15 into

x = y + 20

x = 15 + 20

x = 35

t-shirt = 35

Sweatshirt = 15

The drama club bought 35 t-shirt

Answer:

Step-by-step explanation:

To convert, you will need to know how many times five will go into 42. Once found, that will be your whole number. The remainder will be the numerator, and the divisor of the current fraction will become the denominator.

Given fraction:

Knowing how many times five will go into 42.

The denominator of the given fraction will be the denominator of the created mixed fraction.

Hence, Option C is correct.

The explanatory variables and response variables for this relationship are;

b. Explanatory variable: high school GPA

   Response variable: college GPA

What are explanatory variables?

When it comes to an experiment, a researcher-manipulated variable is an explanatory variable. It acts as a gauge of the transformation the response variable underwent.

Explanatory variables are frequently referred to as predictor variables or independent variables. A response variable is the variable that a researcher is asking a specific question about.

Numerous variables, referred to as explanatory variables, might have an impact on the response variable.

Therefore, the correct option is b, Explanatory variable: high school GPA, Response variable: college GPA.

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Complete question:

College administrators at a small, private college

noticed that students who had higher high school

GPAs tend to have higher college GPAs.

What are the explanatory variable and response

variable for this

relationship?

Explanatory variable: size of college

Response variable: college GPA

Explanatory variable: high school GPA

Response variable: college GPA

Explanatory variable: college GPA

Response variable: high school GPA

Explanatory variable: type of college (public)

Response variable: college GPA

The financial advantage (disadvantage) of further processing Product A is $3,500.

To determine the financial advantage (disadvantage) of further processing Product A, we need to compare the revenues and costs associated with two alternatives: selling Product A at the split-off point or processing it further.

Selling at the split-off point:

The allocated joint costs for Product A are $24,000 out of the total joint costs of $48,000. Therefore, the remaining $24,000 of joint costs is allocated to Product B. Since the joint costs are allocated based on the relative value or volume of the products, we can assume that Product B has the same volume as Product A. Thus, the total volume of the joint process is 4,000 units (2,000 units of Product A + 2,000 units of Product B).

If Product A is sold at the split-off point for $16 per unit, the revenue generated would be $32,000 (2,000 units * $16 per unit).

Processing further:

To process Product A further, there is an additional total cost of $14

Therefore, the total cost of processing further and selling the processed units would be $38,000 ($24,000 allocated joint costs + $14,500 additional processing costs).

If Product A is processed further and sold for $25 per unit, the revenue generated would be $50,000 (2,000 units * $25 per unit).

To determine the financial advantage (disadvantage) of further processing, we need to compare the revenues and costs of the two alternatives:

Alternative 1: Selling at the split-off point

Revenue: $32,000

Cost: $24,000 (allocated joint costs)

Alternative 2: Processing further

Revenue: $50,000

Cost: $38,000 (allocated joint costs + additional processing costs)

To calculate the financial advantage (disadvantage), we subtract the costs of each alternative from the corresponding revenues:

Financial Advantage (Disadvantage) = Revenue - Cost

For Alternative 1:

$32,000 - $24,000 = $8,000

For Alternative 2:

$50,000 - $38,000 = $12,000

Since the financial advantage of processing further ($12,000) is higher than the financial advantage of selling at the split-off point ($8,000), we can conclude that the financial advantage of further processing Product A is $3,500 (Alternative 2 advantage - Alternative 1 advantage).

Therefore, the answer is B) $3,500.

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The answer is B: $3,500.

To determine the financial advantage or disadvantage of further processing Product A, we need to calculate the additional revenue generated from the processing and compare it to the additional cost incurred.

If Product A is sold at the split-off point for $16 per unit, the total revenue is:

$16 per unit x 2,000 units = $32,000

If Product A is processed further, the additional cost incurred is $14,500. However, the selling price per unit increases to $25 per unit, which generates additional revenue. The total revenue from selling the processed Product A is:

$25 per unit x 2,000 units = $50,000

Therefore, the additional revenue from processing Product A is:

$50,000 - $32,000 = $18,000

The financial advantage of further processing Product A is the additional revenue minus the additional cost incurred:

$18,000 - $14,500 = $3,500

It is important to note that this analysis only considers the financial aspect of the decision and does not take into account other factors such as market demand, product quality, and production capacity.

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The pressure that the car exerts on the road is 170,000 N/m². To work out the pressure that the car exerts on the road, we need to divide the force by the total area in contact with the road.

Total area in contact with the road = 4 tyres x 0.02 m²/tyre = 0.08 m²

Pressure = Force/Total area in contact with the road
= 13,600 N/0.08 m²
= 170,000 N/m²

Therefore, the pressure that the car exerts on the road is 170,000 N/m².
To calculate the pressure exerted by the car on the road, you need to divide the total force by the total contact area of the tires. Here's the formula:

Pressure = Force / Area

Given:
Force = 13,600 N
Area per tire = 0.02 m²
Number of tires = 4

Total contact area = Area per tire * Number of tires
Total contact area = 0.02 m² * 4
Total contact area = 0.08 m²

Now, calculate the pressure:

Pressure = 13,600 N / 0.08 m²
Pressure = 170,000 N/m²

So, the pressure the car exerts on the road is 170,000 N/m².

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Answer:

B.The quotient is undefined because the denominator is zero.

Step-by-step explanation:

You cannot divide by zero.  Take a piece of paper and divide into zero pieces.  It cannot be done as we know it.  That is undefined.

The quotient is undefined because the denominator is zero.

Option (B) is the correct answer.

Answer:

g(7)= -4

Step-by-step explanation:

10-2(7)

10-14

=-4

The value of g(7) is -4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

g(x) = 10 - 2x

For x = 7,

g(7) = 10 - 2 x 7

g(7) = 10 - 14

g(7) = -4

Thus,

g(7) = -4.

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The coordinates of A' are (4,3) and the coordinates of B' are (1,-2).

A'B' has endpoints A' (4,3) and B' (1,-2) if line segment AB is translated by (x,y) -> (x+1,y-1). The translation moves each point on AB one unit to the right and one unit down.

To find the coordinates of A', we add 1 to the x-coordinate of A (3+1=4) and subtract 1 from the y-coordinate of A (4-1=3). Thus, A' has coordinates (4,3). Similarly, B' has coordinates (1,-2) as we add 1 to the x-coordinate of B (0+1=1) and subtract 1 from the y-coordinate of B (-1-1=-2).

Therefore, the x-coordinate of A' is obtained by adding 1 to the x-coordinate of A, and the y-coordinate of A' is obtained by subtracting 1 from the y-coordinate of A. Similarly, the x-coordinate of B' is obtained by adding 1 to the x-coordinate of B, and the y-coordinate of B' is obtained by subtracting 1 from the y-coordinate of B.

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Form A

H(t) = -8(t – 2)² + 37

Form B

H(t)= -8t² + 32t + 5

a. From form A, the vertex of the parabola is at (2, 37). This means that the maximum height is 37 feet and it's reached after 2 seconds.

b. The initial height corresponds to t = 0 seconds. Replacing t = 0 into form B:

H(0)= -8(0)² + 32(0) + 5 = 5 ft

That is, the initial height was 5 ft

Answer:

Seasonal allergies

Step-by-step explanation:

She migtht have seaonal allergies

Given expression: (\(4x^5y^2)^2\)  We can simplify this expression as follows:

\((4x^5y^2)^2 = 4^2(x^5)^2(y^2)^2= 16x^(5×2)y^(2×2)= 16x^10y^4\)

Thus, the given expression in standard form is 16x^10y^4. Let's understand each term of this expression and how we got this.Standard form of a polynomial

A polynomial is an expression that consists of variables and coefficients, involving only the operations of addition, subtraction, multiplication, and non-negative integer exponents.

A polynomial is generally expressed in standard form by arranging the terms in decreasing order of exponents.For instance, a polynomial of degree 3 can be written in the standard form as

\(ax^2 + bx^2+ cx + d.\)

The leading coefficient is a, which is the coefficient of the term containing the highest degree of x. If the leading coefficient is not 1, the polynomial is said to be in non-monic form.The given expression is \((4x^5y^2)^2\)

which is equal to 1

\(6x^10y^4.\)

As we have only one term, that's why it is already in standard form as we do not need to rearrange any terms. So, the answer is

\(16x^10y^4.\)

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The derivative of the composite function (g∘f) at x=6 is 24.

To find the derivative of (g∘f)′(6), we need to apply the chain rule. According to the chain rule, if we have a composite function h(x) = f(g(x)), then h′(x) = f′(g(x)) * g′(x). In this case, we have g∘f(x) = g(f(x)), so the derivative of (g∘f)(x) is given by (g∘f)′(x) = g′(f(x)) * f′(x).

Given that f(6) = 6 and f′(6) = 4, and g(6) = 5 and g′(6) = 6, we can substitute these values into the chain rule formula. Therefore, (g∘f)′(6) = g′(f(6)) * f′(6) = g′(6) * f′(6) = 6 * 4 = 24.

In conclusion, the derivative of the composite function (g∘f) at x=6 is 24. This means that if we evaluate the rate of change of the composition of g and f at x=6, it will be equal to 24.

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The measure of angle ∠NMP will be equal to 94 degrees.

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure. We can prove two triangles to be congruent using any of the four mentioned rules or criteria's

Given is ∠LMN = 43° and ∠LMN ≅ ∠OMP

Now, since it is given that ∠LMN ≅ ∠OMP, we can say that -

∠LMN = ∠OMP = 43°

Now, assume that ∠NMP equals to β°.

Since, LMO is a straight line, we can write -

∠LMN + ∠NMP + ∠OMP = 180°

43 + β + 43 = 180

β = 180 - 86

β = 94°

∠NMP = β = 94°

Therefore, the measure of angle ∠NMP will be equal to 94 degrees.

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[Refer to the image attached for complete question]

Every mile traveled along the stream, the elevation changes by 50 feet/mile.

The gradient of the stream can be calculated by dividing the elevation change by the distance traveled. In this case, the stream has an elevation change of 100 feet over a distance of 2 miles. Thus, the gradient can be calculated as:

Gradient = Elevation change / Distance traveled

= 100 feet / 2 miles

= 50 feet/mile

The gradient is an important concept in many fields, including geology, hydrology, and civil engineering. It represents the rate at which a physical quantity, such as elevation or temperature, changes with distance. A steep gradient indicates a rapid change, while a gentle gradient indicates a slow change.

Therefore, the answer is option (a) 50 feet/mile. This means that for every mile traveled along the stream, the elevation changes by 50 feet.

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16 answer correct

80×20

_______. =16

100

Brainliest

The angle of an inscribed angle in a circle can be determined by measuring of interrupted arc Equals 1/2 * measure of inscribed angle

You must apply the method below to determine the size of an inscribed angle in a circle:

Measure of interrupted arc Equals 1/2 * measure of inscribed angle

Alternatively stated, the measure of an inscribed angle is equivalent to half the measure of the arc that it intercepts. How to apply the following formula:

Make a circle with the letter O in the middle.

In the centre of the circle, draw two chords—lines that link two points on the circle. Identify the junction as A.

From spot A to the circle's nucleus, O, draw a line.

Determine the intercepted arc, or the area of the circle that falls between the two chords and includes point A.

Ascertain the intercepted trajectory.

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Answer:

10x + 35

Step-by-step explanation:

Given

5(2x + 7) ← multiply each term in the parenthesis by 5

= 5(2x) + 5(7)

= 10x + 35

Answer:

10x+35

Step-by-step explanation:

5×2x=10x

5×7=35

=10x+35

Answer:

12

Step-by-step explanation:

Type Into Calculator:

SAT-EDIT-TYPE IN X VALUES AND Y VALUES (FROM ORDERED PAIR)-STAT-CALC-4-ENTER

Answer:

3.

Step-by-step explanation:

Answer:

y= -1+5x

Step-by-step explanation: