Given integral from 1 to 5 of f of x dx equals 6 and integral from 1 to 5 of g of x dx equals negative 4, what is integral from 1 to 5 of the quantity g of x minus f of x end quantity dx question mark
10
2
−2
−10

Answer:

the correct answer is d

Step-by-step explanation:

Answer:

1. a30=96

2. D or 30(-20+96)/2

3. S30=1140

Step-by-step explanation:

answer:

2

sorry for putting words it wouldnt let me only put 2

Answer:

$14722.14

Step-by-step explanation:

We are given that

In 2015

The value of jewel=$17500

Rate of appreciation, r=2.5%

We have to find the initial value of the jewel when it was first bought.

Time, n=7 years

Final value=\(Initial\;value (r/100+1)^n\)

Using the formula

\(17500=Initial\;value(2.5/100+1)^7\)

\(17500=Initial\;value(1.025)^7\)

\(Initial\;value=\frac{17500}{(1.025)^7}\)

Initial value=$14722.14

Hence, the the initial value of the jewel when it was first bought=$14722.14

Answer:

26.4 km/hr

Step-by-step explanation:

Sofia and Diego drive to work.

For Sofia

We convert miles to km

Sofia drives 72 miles in 1.5 hours.

1 mile = 1.6 km

72 miles = x

x = 72 × 1.6 km

x = 115.2 km

We find the speed in km/hr

Speed = Distance /Time

= 115.2km/1.5 hours

= 76.8 km/hr

For Diego

Diego drives 126 km in 2 hour 30 min.

Speed = Distance/Time

Time = 2 hour 30 min = 2.5 hours

Speed = 126km/2.5 hours

= 50.4 km/hr

The difference between their average speeds in km/h is calculated as:

76.8 km/hr - 50.4 km/hr

= 26.4 km/hr

The yards of fabric needed is 45.50 yards.

The first step is to determine the total inches of fabric that would be needed for 63 uniforms. The mathematical operation that would be used to determine this value is multiplication.

Multiplication is the process of determining the product of two or more numbers. The sign used to denote multiplication is ×.

Fabric needed for 63 uniforms = inches needed for one uniform x total number of uniforms

63 x 26 = 1,638 inches

The second step is to convert inches to yards

1 inch = 1/36 yards

1638 / 36 = 45.50 yards

Here is the complete question:

Mrs. Taylor is making new football uniforms for Fridays nights homecoming game. The trim for the sleeves of one uniform requires 26 inches of fabric. Mrs Taylor needs to make 63 uniforms total. How many yards of fabric should she buy?

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Answer:

2.8 years

Step-by-step explanation:

Answer:

The equation which represents the given formula written in terms of P is  

P = 9/5 * C + 32

Step-by-step explanation:

Seems the question is: Which of these equations represents the given formula written in terms of P. If so, we will make P the subject of the given formula.

C = 5/9 * (P - 32)

This can be written as

\(C = \frac{5}{9} \times (P-32)\)

Multiplying both sides by 9, we get

\(9 \times C = 9 \times \frac{5}{9} \times (P-32)\)

\(9C = 5 \times (P - 32)\\\)

Now, divide both sides by 5, we get

\(\frac{9C}{5} = \frac{5 \times (P - 32)}{5}\)

This gives

\(\frac{9}{5} \times C = P - 32\)

Now, Add 32 to both sides of the equation

\(\frac{9}{5} \times C + 32 = P - 32 + 32\)

This becomes

\(\frac{9}{5} \times C + 32 = P\)

Hence

\(P = \frac{9}{5} \times C + 32\)

That is,  P = 9/5 * C + 32

Hence, the equation which represents the given formula written in terms of P is  P = 9/5 * C + 32.

The Euler's formula solved for the variable V gives . V = 2 + E − F. Option 2

The subject of a formula is the variable or variables that represent the quantity being calculated or solved for.

In mathematical formulas, the subject is typically denoted by a letter or symbol, and the formula shows the relationship between the subject and other variables or constants in the equation.

From the information given, we have that;

V − E + F = 2

To make the variable, V, the subject, take the steps

collect the variable E

V + F = 2 + E

Now, collect the F variable

V = 2 + E - F

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Answer:

3 3/4

Step-by-step explanation:

(4x+3)(x-8)+(x-1)(4x+3)=0

Factor out 4x+3

(4x+3)( x-8+x-1) =0

Combine terms

(4x+3) ( 2x-9) =0

Using the zero product property

4x+3 = 0    2x-9 =0

4x=-3         2x = 9

x = -3/4       x = 9/2

Sum the solutions

-3/4 + 9/2

-3/4 + 18/4

15/4

3 3/4

The 18th term of the arithmetic sequence -13, -9, -5, -1, 3,... is 55. Thus, the right answer is option A. which is A(18) = 55

Arithmetic Progression is a sequence of numbers in which the difference between two numbers in the series is a fixed definite value.

The specific number in the arithmetic progression is calculated by

\(a_n=a_1+(n-1)d\)

where \(a_n\) is the term in arithmetic progression at the nth term

\(a_1\) is the initial term in the arithmetic progression

d is the difference between two consecutive terms

In the given question, \(a_1\) = -13

d = -9 - (-13) = 4

Therefore, to calculate the 18th term,

\(a_{13}=a_1+(18-1)d\)

= -13 + (17) 4

= -13 + 68

= 55

Hence, the 18th term of the above AP is 55

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The equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

To translate the function (j(x) = |x| right 8 units and up 6 units, we need to modify the expression inside the absolute value function.

The translation right 8 units means we need to replace x with (x - 8).

The translation up 6 units means we need to add 6 to the entire expression.

So the equation that results from translating (j(x) = |x|  right 8 units and up 6 units is:

j(x) = |x - 8| + 6

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Answer:

90.Grams of sugar

Step-by-step explanation:

Probit coefficients are typically estimated using:

A. the method of maximum likelihood.

The method of maximum likelihood is used to estimate the probit coefficients. This method aims to find the coefficients that maximize the likelihood of observing the given sample data. It involves an iterative process to identify the most likely parameter values for the model, making it suitable for nonlinear models like the probit model. Maximum likelihood estimation is a widely used method in econometric analysis due to its desirable properties, such as consistency and asymptotic efficiency.

In summary, probit coefficients are estimated using the method of maximum likelihood, which provides the most accurate and efficient estimates for this type of model.

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Complete question :

There are tiger barbs in a 30-gallon aquarium and giant danios in a 20-gallon aquarium

Use the rule to solve this problem. The rule for the number of fish in an aquarium is to allow 1 gallon of water for each inch of length.

Giant Danio=5 inch length

Tiger barb=3 inch length

What is the correct numerical expression that represents the greatest total number of fish that could be in both aquariums?

Answer:

14

Step-by-step explanation:

Given that :

Tiger barbs = 30 gallon aquarium

Giant danios = 20 gallon aquarium

Greatest number of fish that coild be in both aquarium :

Tiger barb = volume / length

Tiger barb = 30 / 3 = 10 fishes

Giant danios = volume / length

Giant danios = 20 /5 = 4 fishes

Hence, the greatest total number of fishes in both aquarium is :

Number in Tiger barb + number in giant danios

10 + 4 = 14

Answer:

B: p=1,000m

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

sub in 2 for x and 4 for y and complete equation in PEMDAS order

Answer:

\( \frac{4 \times 2 - 4}{2 \times 4 - 2} = \frac{8 - 4}{8 - 2} = \frac{4}{6} = \frac{2}{3} \)

The gas station serves 16 vehicles per hour, and 72 vehicles arrive in 4 hours. The vehicles will spend 4.50 hours at the gas station.



To find the total time the vehicles will spend at the gas station, we need to calculate the total number of vehicles that arrive and then divide it by the rate at which the gas station serves vehicles.

Given:

Arrival rate: 18 vehicles per hour

Service rate: 16 vehicles per hour

Time: 4 hours

First, let's calculate the total number of vehicles that arrive during the 4-hour period:

Total number of vehicles = Arrival rate * Time

                      = 18 vehicles/hour * 4 hours

                      = 72 vehicles

Since the gas station can serve 16 vehicles per hour, we can determine the time it takes to serve all the vehicles:

Time to serve all vehicles = Total number of vehicles / Service rate

                         = 72 vehicles / 16 vehicles/hour

                         = 4.5 hours

Therefore, the vehicles will spend 4.5 hours at the gas station. Rounded to 2 decimal places, the answer is 4.50 hours.

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The first four terms of the Maclaurin series of f(x) can be determined using the provided values. The Maclaurin series is an expansion of a function around x = 0. In this case, the series can be expressed as f(x) = -10 + 4x - (1/2)x^2 + (11/6)x^3 + ...

To find the coefficients of the series, we can use the formula for the Maclaurin series coefficients. The coefficient of x^n is given by f^(n)(0) / n!, where f^(n)(0) represents the nth derivative of f(x) evaluated at x = 0.

Using the provided values, we have f(0) = -10, f'(0) = 4, f"(0) = -2, and f"'(0) = 11. Plugging these values into the formula, we can find the coefficients for each term in the series.

For the first four terms, the coefficients are as follows:

The coefficient of x^0 is f(0) = -10.

The coefficient of x^1 is f'(0) = 4.

The coefficient of x^2 is f"(0) / 2! = -2 / 2 = -1.

The coefficient of x^3 is f"'(0) / 3! = 11 / 6.

Therefore, the first four terms of the Maclaurin series for f(x) are -10 + 4x - (1/2)x^2 + (11/6)x^3.

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Therefore, the value of SP is 76 for the following set of data.

The given data is:

X: 4, 3, 1, 5, 6

Y: 1, 3, 2, 5, 6

To find the value of SP, we need to calculate the sum of products of the corresponding values of X and Y.

SP = (4 * 1) + (3 * 3) + (1 * 2) + (5 * 5) + (6 * 6)

= 4 + 9 + 2 + 25 + 36

= 76

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The probability that exactly one of their children will have green eyes is 0.234.

Chance is represented by probability. The study of the occurrence of random events is the subject of this mathematical subfield. The value is expressed as a number from 0 to 1.

The probability of having exactly one child with green eyes can be calculated using the binomial distribution:

Let X be the number of children with green eyes.

P(X = 1) = (2 choose 1) * 0.75 * 0.125 = 0.234

Therefore, the probability that exactly one of their children will have green eyes is 0.234.

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The standard deviation of the critical path is 6.

To calculate the standard deviation of the critical path, we need to use the concept of variance and consider the activities on the critical path.

The variance of a project or critical path is the sum of the variances of the activities on that path.

Since the variances are given as the squares of the standard deviations, we can square the standard deviations of each activity and sum them to find the variance of the critical path. Finally, we take the square root of the variance to obtain the standard deviation.

Given the standard deviations of the activities on the critical path:

Activity 1: Standard deviation = 1 day

Activity 2: Standard deviation = 3 days

Activity 3: Standard deviation = 1 day

Activity 4: Standard deviation = 4 days

Activity 5: Standard deviation = 3 days

Calculating the variance of the critical path:

Variance = (1^2) + (3^2) + (1^2) + (4^2) + (3^2) = 1 + 9 + 1 + 16 + 9 = 36

Taking the square root of the variance, we find the standard deviation of the critical path:

Standard deviation = √(36) = 6

Therefore, the standard deviation of the critical path is 6.

The correct choice is A. 6.

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Since a reflection flips the figure across average line and changes the figure's orientation, it does not maintain congruence.

In order to produce a new figure on a coordinate grid, a figure must undergo a transformation. When two figures are congruent, their size and shape match. A transformation that doesn't alter the figure's size or shape maintains congruence. Congruence is lost through the usual change of reflection. This is such that the figure's orientation is altered by flipping it over a line. For instance, if a figure is mirrored over the x-axis, the initial orientation of the figure will be reversed. This is because the reflection operation flips the figure over the x-axis, causing the orientation to be reversed. Other transformations that do not preserve congruence include enlargement and rotation. Enlargement and rotation both change the size and orientation.

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Answer:

35

Step-by-step explanation:

Answer:

We can use the double angle formulas to find sin(2θ) and cos(2θ):

sin(2θ) = 2sin(θ)cos(θ)

cos(2θ) = cos^2(θ) - sin^2(θ)

Since sin(θ) = -4/5 and θ is in the third quadrant (π < θ < 3π/2), we can use the Pythagorean identity to find cos(θ):

sin^2(θ) + cos^2(θ) = 1

cos^2(θ) = 1 - sin^2(θ)

cos(θ) = -√(1 - sin^2(θ))

cos(θ) = -√(1 - (-4/5)^2) = -√(1 - 16/25) = -√(9/25) = -3/5

Now we can substitute these values into the double angle formulas:

sin(2θ) = 2sin(θ)cos(θ) = 2(-4/5)(-3/5) = 24/25

cos(2θ) = cos^2(θ) - sin^2(θ) = (-3/5)^2 - (-4/5)^2 = 9/25 - 16/25 = -7/25

Therefore, the exact values of sin(2θ) and cos(2θ) are sin(2θ) = 24/25 and cos(2θ) = -7/25, respectively.

Finally, we can find the value of sin^2(2θ)cos^2(2θ):

sin^2(2θ)cos^2(2θ) = (sin(2θ))^2(cos(2θ))^2

sin^2(2θ)cos^2(2θ) = (24/25)^2(-7/25)^2

sin^2(2θ)cos^2(2θ) = 24^2/25^2 * 7^2/25^2

sin^2(2θ)cos^2(2θ) = (24*7)^2/25^4

Therefore, the exact value of sin^2(2θ)cos^2(2θ) is (24*7)^2/25^4.

Answer:

57 miles

Step-by-step explanation:

12 2/3 x 4 1/2 = 57 miles

Have a great day.

Answer:

57 miles

Step-by-step explanation:

Formula needed to solve this:

Here the speed is \(12\frac{2}{3}\) mph and time is \(4\frac{1}{2}\) hours

so \(12\frac{2}{3} * 4\frac{1}{2}\) =  57 miles

Sam will cover 57 miles at 12 2/3 mph in 4 1/2 hours

Answer:

68°

Step-by-step explanation:

since the ball is placed or comes from a straight line (which is the wall) it means that when you add all those angles the final answer has to be 180 because angles in a straight line add up to 180°

68°+44°+1=180

112°+1=180

1=180-112

=68°

I hope this helps

The measure of ∠1 is 68 degrees.

We have Lisa who kicked a ball against the wall at the indicated angle.

We have to determine the measure of the angle 1 in degrees.

A straight line has an angle of 180 degrees.

According to question, we have -

∠3 = 68 degrees

∠2 = 44 degrees

Therefore -

∠3 + ∠2 + ∠1 = 180

68 + 44 + ∠1 = 180

112 + ∠1 = 180

∠1 = 180 - 112

∠1 = 68 degrees

Hence, the measure of ∠1 is 68 degrees.

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Answer:

8

Step-by-step explanation:

equation: b(x) = x³

b(2) means x = 2, b(2) = (2)³

2³ = 2 x 2 x 2 = 8

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Answer: mutiply x by itself to get y

Step-by-step explanation: