this is the numbers 14-15

By using  Fundamental Theorem of Calculus, we find the derivative of the function g(x) = In { sqrt( t + t^3)dt } limit from x to 0 is  ln(sqrt(x + x^3)).  The derivative of the function g(x) = { In (1+t^2) dt} where limit are from x to 1 is  ln(1 + x^2).

The Fundamental Theorem of Calculus, which states that if a function is defined as the definite integral of another function, then its derivative is equal to the integrand evaluated at the upper limit of integration.

So, applying this theorem, we have:

g'(x) = d/dx [∫x_0 ln(sqrt(t + t^3)) dt]

= ln(sqrt(x + x^3)) * d/dx (x) - ln(sqrt(0 + 0^3)) * d/dx (0)

= ln(sqrt(x + x^3))

Therefore, g'(x) = ln(sqrt(x + x^3)).

Using the Fundamental Theorem of Calculus, we have:

g'(x) = d/dx [∫1_x ln(1 + t^2) dt]

= ln(1 + x^2) * d/dx (x) - ln(1 + 1^2) * d/dx (1)

= ln(1 + x^2)

Therefore, g'(x) = ln(1 + x^2).

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____The given question is incomplete, the complete question is given below:

Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 7 g(x) = In { sqrt( t + t^3)dt } limit from x to 0.  8. g(x) = { In (1+t^2) dt} where limit are from x to 1.

Answer:

Step-by-step explanation: Its "C" Or The 3rd Option

Answer:

the ordered pair (0, 1/6)

Step-by-step explanation:

To reflect a function across the y-axis, we replace every occurrence of x with -x. Therefore, the function g(x) is given by:

g(x) = f(-x) = 1/6(2/5)^(-x)

To find an ordered pair on g(x), we need to choose a value of x and evaluate g(x). For example, if we choose x = 0, then:

g(0) = 1/6(2/5)^(-0) = 1/6

Therefore, the ordered pair (0, 1/6) is on the graph of g(x).

Answer:

He needs 16 boxes.

Step-by-step explanation:

1600 / 100 = 16

Answer:

He needs 16 boxes.

Step-by-step explanation:

They are boxes of 100. so you need to divide 1600 by 100.

1600÷100= 16.

so he needs 16 boxes of nails.

the value of the expression is 12.

To solve the following using BEDMAS 5X4 - (3 + 1)2 ÷ 2:BEDMAS is an acronym that represents the order of operations for arithmetic operations in the correct order, that is, "Brackets", "Exponents", "Division and Multiplication", and "Addition and Subtraction."The full form of BEDMAS is- B stands for Brackets.E stands for Exponents.D stands for Division.M stands for Multiplication.A stands for Addition.S stands for Subtraction.

The given expression is;5X4 - (3 + 1)2 ÷ 2When we solve this expression using the BEDMAS rule of the order of operations, we get;= 5 x 4 - (3 + 1) x 2 ÷ 2[Since brackets comes first, then multiplication and division, followed by addition and subtraction.]= 20 - 4 x 2 ÷ 2[Perform multiplication: 3 + 1 = 4 and 4 x 2 = 8]= 20 - 8[Perform Division: 8 ÷ 2 = 4]= 12Therefore, the value of the expression is 12.The solution of the given expression using the BEDMAS rule of the order of operations is explained. The BEDMAS rule defines the correct order in which arithmetic operations should be performed.

It consists of four fundamental operations. They are brackets, exponents, multiplication and division, and addition and subtraction. The expression, 5X4 - (3 + 1)2 ÷ 2, can be solved using the BEDMAS rule of operations. First, we will simplify the brackets, followed by division and multiplication, then addition and subtraction. We will get the following expression 5 x 4 - (3 + 1) x 2 ÷ 2. We will then perform multiplication by finding the product of (3 + 1) and 2, which equals 8. Finally, we will perform division by dividing 8 by 2, which equals 4. After we have completed these steps, we will subtract 8 from 20 to get the final answer of 12.

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Answer:

m<2=60

m<1=120

m<3=120

Step-by-step explanation:

Since m<4=60 that transfers to m<2 also because they are equal. To find the other to angles you have to subtract 60 from 180 because m<1 and m<4 create a straight line that equals 180. That then also transfers to m<3.

Thank you have an amazing day.

The ordered pair (x,y) obtained from the linear equations is: (-2,-12)

What is Linear Equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

Definition of a Linear Equation: Each term in a linear equation has an exponent of 1, and when this algebraic equation is graphed, it always produces a straight line. It is called a "linear equation" for this reason. A linear equation is expressed using the linear equation formula. There are several ways to accomplish this. A linear equation, for instance, can be written in standard form, slope-intercept form, or point-slope form. To discover how a linear equation is stated in its standard form, let's take an example.

The equation is given:

8x-3y=20

5x-y=2

Using the substitution method for solving the linear equations:

From the equation:

5x-y=2;

we can transform this equation as:

⇒-y = 2-5x;

⇒y = 5x-2;

Now substituting the value of y in the other equation: we get;

⇒8x-3(5x-2)=20

⇒8x -15x+6 = 20;

⇒-7x=14;

x = -2;

Now putting the value of x in the equation to get the value of y;

So,

y = 5(-2) -2;

y = -12;

Hence the value of x and y are -2 and -12 respectively;

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Answer:

3

Step-by-step explanation:

add the 4 over, divide by 2 x equals 3

Answer:

x=6

Step-by-step explanation:

2 times what equals 2 grater than 4.

2 greater than 4 is 6

2 x 3 = 6

or

2+4=6

6/2 =3

Answer:

25%

Step-by-step explanation:

The probability of getting exactly one success in 8 trials is 0.3217. The probability of getting at most 4 successes in 8 trials is 1. The probability of getting at least 5 successes in 8 trials is 0.7708.

(a) The probability of getting exactly 1 success in 8 trials with a success probability of 0.35 is given by the binomial probability formula as:

\(P(x = 1) = (8 choose 1) * 0.35^1 * 0.65^7 = 0.3217\)

Therefore, the probability of getting exactly one success in 8 trials is 0.3217.

(b) The probability of getting at most 4 successes in 8 trials can be calculated by adding the probabilities of getting 0, 1, 2, 3, or 4 successes:

P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

Using the binomial probability formula as before, we get:

P(x ≤ 4) = 0.1142 + 0.3217 + 0.3574 + 0.1826 + 0.0477 = 1

Therefore, the probability of getting at most 4 successes in 8 trials is 1.

(c) The probability of getting at least 5 successes in 8 trials can be calculated by adding the probabilities of getting 5, 6, 7, or 8 successes:

P(x ≥ 5) = P(x = 5) + P(x = 6) + P(x = 7) + P(x = 8)

Using the binomial probability formula as before, we get:

P(x ≥ 5) = 0.2271 + 0.3118 + 0.1923 + 0.0396 = 0.7708

Therefore, the probability of getting at least 5 successes in 8 trials is 0.7708.

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Answer:

1. area
2. multiply
3. 2
4. circumference
5. multiply
6. height
7. add

Step-by-step explanation:

The formula for surface area of a cylinder is 2πrh + 2π\(r^{2}\), which consists of the formula for curved surface area, 2πrh, and 2 bases for the top and bottom of the cylinder, which is the formula 2π\(r^{2}\).

Answer:

y=3.01x

Step-by-step explanation:

We can see that since 19 gallons cost $57.19 and 18 gallons cost $53.18, 1 gallon (19-18) must cost $3.01.

Therefore, y=3.01x

You can check this with algebra

Answer:

13

Step-by-step explanation:

First find how many seconds are in 10 minutes. 60*10=600. Now divide. 600/45 is 13.33 and we cant round so the answer is 13.

Answer: 13

Step-by-step explanation:

There are 60 seconds in a minute. 10 minute=600 seconds. 600/45=13.3. 45 goes into 600 13 times with a remainder. (don't forget to round because you can seal part of a bottle. 13 bottles can be sealed in 10 minutes.

Answer:

creo que es hay 15también eso yo pienso

The probability of event A and event B is 6.

Given that, P(A)=6, P(B)=20 and P(A∩B)=6.

P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.

P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10

We know that, P(A and B)=P(A/B)×P(B)

= 3/10 × 20

= 3×2

= 6

Therefore, the probability of event A and event B is 6.

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The child advocate collects data by randomly selecting 4 out of the 25 state orphanages. In each of the four selected orphanages, the child advocate surveys every child.

This approach allows the child advocate to obtain information from a representative sample of children in state orphanages. By surveying every child in the selected orphanages, the child advocate ensures that no child is excluded from the data collection process. This method provides a comprehensive understanding of the experiences, needs, and concerns of the children in the four chosen orphanages.

By collecting data in this manner, the child advocate can gather valuable insights that can inform policies and interventions to improve the well-being and support for children in state orphanages.

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The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.

Amount of water that the bottle can hold = 32 ounces

Bottles of water consumed = 2

A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.

Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -

= w > 2 × 32

Therefore,

Simplifying the right side of the inequality:

w > 64

Complete Question:

Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?

a. w>2

b. 32<w

c. w = 64

d. 64<w

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Answer:

tyuklgfdzrxtiyku,j mncihknbjhtu

Step-by-step explanation:

Step-by-step explanation:

100 - 9 = 91   seats for seven student groups

91 / 7 = 13  seats in each student group

   each student group receives   13 - 9 = 4 more seats than the roped off section

The percent of change in the price of the book is 50%.

To calculate the percent of change, we first need to find the difference between the original price and the new price. In this case, the original price of the book was $10, and the new price is $5. To find the difference, we can subtract the new price from the original price, which is:

$10 - $5 = $5

Now, we need to express this difference as a percentage of the original price. To do this, we divide the difference by the original price and then multiply by 100. In other words, we need to find the percentage that the original price has changed by. This can be represented mathematically as:

Percent of change = (Difference / Original price) x 100

Plugging in the values we found earlier, we get:

Percent of change = ($5 / $10) x 100

Percent of change = 0.5 x 100

Percent of change = 50%

This means that the price of the book has decreased by 50% from the original price of $10 to the sale price of $5.

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Answer:

There's 10

Step-by-step explanation:

You count the little squares, which give you 9 and then you count the big square that all of the little squares are in, which gives you 10 squares in total

Answer:

The order of ordered pairs of a function and its inverse reverse. The graph of the inverse of this function passes through the points (2,-1), (6,0), (-4,3).

Explanation:

I just took the test.

As per the graph, the non-invertible functions pass through the point of (-1, 2)), (0,6), and (3, - 4).  

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The Equation for parallel line is: y= 4x - 13

The Equation for perpendicular line is: y= 1/4 x + 2

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

The passing point is (4, 3).

Now, the slope of given line

= Rise / Run

= 4 / 1

= 4

So, the slope for parallel line is 4 and for perpendicular line is -1/4.

Now, the line passes through (4, 3)

For parallel line

y= 4x+ b

3 = 4(4)+ b

3- 16 = b

b= -13

So, Equation for parallel line is: y= 4x - 13

For Perpendicular line

y= 1/4 x+ b

3 = 1/4(4)+ b

3- 1 = b

b= 2

So, Equation for Perpendicular line is: y= 1/4 x + 2

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An English teacher, gives pop quizzes to her students every marking period. (D. Fixed interval schedule of reinforcement.)

The other options listed are not applicable in this scenario:

A. Variable interval schedule of reinforcement: This schedule involves providing reinforcement after varying time intervals. Mrs. Jackson's quizzes occur at fixed intervals, not varying intervals.

B. Variable ratio schedule of reinforcement: This schedule involves providing reinforcement after a varying number of responses. The pop quizzes are not contingent on the number of responses from the students.

C. Fixed ratio schedule of reinforcement: This schedule involves providing reinforcement after a fixed number of responses. The pop quizzes are not contingent on the number of responses from the students.

D. Fixed interval schedule of reinforcement :fixed interval schedule of reinforcement involves providing reinforcement  at a fixed time interval. Mrs. Jackson gives the pop quizzes every marking period, which is a predetermined fixed interval of time. This schedule of reinforcement is characterized by a steady rate of response from the students, with an increase in responding closer to the time when the reinforcement is expected.

E. Interval ratio schedule of reinforcement: This is not a recognized schedule of reinforcement. The correct term would be fixed interval or variable interval schedule of reinforcement.

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The measure of the supplement of angle GEF is calculated as: 140 degrees.

The supplement of an angle is the angle that, when added to the original angle, forms a straight line or 180 degrees. In other words, the supplement of an angle is the angle that completes the original angle to make it a straight angle.

For example, if the original angle is 30 degrees, then the supplement of that angle is 150 degrees, because 30 + 150 = 180. Similarly, if the original angle is 75 degrees, then the supplement of that angle is 105 degrees, because 75 + 105 = 180.

Given that the measure of angle GEF is 40°, to find the measure of the supplement of angle GEF, subtract 40 from 180.

Therefore:

The measure of the supplement of angle GEF = 180 - 40

= 140 degrees.

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Check the picture below.

The range at which Dan's car can go is 3.33 miles

A car's range is the distance it can travel with the current amount of fuel in the tank.

The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.

The range of a car can be measured in the unit of distance.

Therefore the range of a car can be calculated as;

R = distance per gallon/ number of gallon.

Dan's car is 40mpg and has 12 gallons in it's tank.

Therefore it's range = 40/12

= 3.33miles.

therefore the range of Dan's car is 3.33miles

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-95 -16 8 67

aka D

Step-by-step explanation:

Answer:

-95, -16, 8, 67

Step-by-step explanation:

Hope it helps!

Answer:

Ok

Step-by-step explanation:

Answer: C. Taking a trip on a raft is safe if the weight of guests and their belongings (x pounds) and the weight of the guide and her equipment (250 pounds) together are less than 1,200 pounds

Step-by-step explanation: