What is the approximate average rate of change of the function f(x)=50(1.021)^x over the interval of x=7 to x=10

The answer double will be of 8 is 16, by multiplication.

What is the arithmetic operation?

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or more quantities. Included in them is the study of numbers, especially the order of operations, which is important for all other areas of mathematics, including algebra, data management, and geometry. The rules of arithmetic operations are required in order to answer the problem.

The fundamental concept of repeatedly adding the same number is embodied in the process of multiplication. The outcome of multiplying two or more numbers is known as the product of those numbers, and the factors that are multiplied are referred to as the factors. The process of repeatedly adding the same number is made easier by multiplication.

So the double of 8 means adding 2 two times. Or multiplying 8 with 2

8*2 = 16

Hence, double will be of 8 is 16

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Answer:

Step-by-step explanation:

did you watch the video-

Step-by-step explanation:

A water park water ride pumps 8,000 gallons of water every 2 minutes, How many gallons of water would the ride pump in 100 minutes?

100/2 = 50

50 * 8,000 = 400,000 gallons in 100 minutes

Answer:

400,000 gallons

Step-by-step explanation:

to find the unit rate or how much per minute we divide 8000 by 2

8000/2

4000 gallons per minute

Now multiply by 100

4000*100

400,000

Hopes this helps please mark brainliest

[tex]\huge \boxed{\sf 8+4\sqrt{5} }\\\\\\\sf Using\ the\ distance\ formula \\\\\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

[tex]\sf A(0,4)\ and\ B(2,0)\\\\d = \sqrt{(2 - 0)^2 + (0-4)^2}=2\sqrt{5} \\\\B(2,0)\ and\ C(2,-2)\\\\d = \sqrt{(2 - 2)^2 + (-2-0)^2}=2 \\\\C(2,-2)\ and\ D(0,-2)\\\\d = \sqrt{(0 - 2)^2 + (-2-(-2))^2}=2 \\\\D(0,-2)\ and\ E(-2,2)\\\\d = \sqrt{(-2 - 0)^2 + (2-(-2))^2}=2\sqrt{5} \\\\E(-2,2)\ and\ F(-2,4)\\\\d = \sqrt{(-2 - (-2))^2 + (4-2)^2}=2\\\\F(-2,4)\ and\ A(0,4)\\\\ d=\sqrt{(0-(-2))^2+(4-4)^2} =2[/tex]

[tex]\sf Adding\ all\ the\ distances \\\\2\sqrt{5} +2+2+2\sqrt{5}+2+2 =8+4\sqrt{5} =16.94427190...[/tex]

Answer:

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

Four of the segments are horizontal or vertical with the length of 2 units:

Two of the segments have same length (parallel segments) with 4 units vertical and 2 units horizontal difference of coordinates:

The perimeter is:

Since equations are expressed as "y=," you can solve for X by setting the equations equal to one another. This is effective because, if two equations have the same unknown y value, then they must also have the same unknown y value.

Imagine that you are tasked with resolving the equations y = 2x + 3, and y = 4x + 1. You can write: 2x + 1 = 4x + 3 since y represents the same number in both equations, proving that both equations must be equal. If this is still unclear, consider y to be a number, let's say 5. Since both equal 5, if 2x+3=5 and 4x+1=5, then (2x+3) must equal 4. 5. by changing the value of y in the second equation to that determined in the first. You can find X by setting the two equations equal to one another. Referring to the problem 2x+3=4x+1 from earlier, you would first try to obtain all the X terms on one side of the equation, Therefore, take 2X off of both sides. 3=2x+1 will be all that is left. Now take one away from both sides to get your X term alone, giving you 2=2x. Lastly, multiply both sides of the equation by two to arrive at the solution, X=1. You can enter the value of X that you just discovered (X=1) into either of your original equations to solve for Y. As a result, y=2(1)+3 and y=4(1)+1 will both result in y=5, which is the same.

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The maximum number of functions that can be defined from the power set of A, P(A), to the power set of B, P(B) is 4096.

The Collection of well-defined objects or elements is known as a set. The objects in a set are called elements. The Set contains a finite number of elements. The Set is denoted by any capital letter like A, B etc. Elements of the set can be numbers, alphabets etc.

The elements of the set are listed inside the curly brackets { ..... }. There are various types of sets. The set of all subsets of the set X is called a Power set including the null set, empty set and the set itself. Cardinal number or cardinality denotes the number of elements in the set. Cardinality is denoted by n( X ) where X is a set. The number of subsets of the set is given by 2^n.

As per the question,

⇒  n ( A )   =   3 elements

Number of subsets of A   =   2³

                                          =   8 subsets

⇒   n ( B )   =   2 elements

Number of subsets of B   =   2²

                                          =   4 subsets

By using the product rule,

Total number of functions from P ( B ) to P ( A )   =   8 × 8 × 8 × 8

                                                                                =   4096

Therefore, 4096 is the maximum number of functions that can be defined from the power set of A, P(A) to the power set of B.

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The solution to the equation is x = 2/3.

The number of times a number is multiplied by itself is referred to as an exponent.

The given equation is (1/2)ˣ ⁻ ¹ = 2³ˣ ⁻ ⁴.

Solve the equation as follows:

(1/2)ˣ ⁻ ¹ = 2³ˣ ⁻ ⁴

Recall that xᵃ = (1/x)⁻ᵃ, therefore,

2ˣ⁻¹ = 2³ˣ ⁻ ⁴

Since the base of the exponents is the same, it follows:

x - 1 = 3x - 4

3x - x = -1 + 4

2x = 3

x = 2/3

Hence, the solution to the equation is x = 2/3.

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The mirror and image has a distance of 90 cm

The image is inverted with a height of 12 cm.

Given,

Concave mirror with a radius of curvature 60 cm

The height of the object = 6 cm

The distance between the object and the mirror = 45 cm

We have to find the location and height of the image;

Here,

For any mirror, the radius of curvature is twice the focal length:

r = 2f

Where

r is the radius of curvature

f is the focal length

Then,

f = r/2 = 60/2 = 30 cm

Focal length = 30 cm

Now,

The distance of the image from the mirror;

The mirror equation is:

1/s' = 1/f - 1/s

Where

s' is the distance of the image from the mirror

f is the focal length

s is the distance of the object from the mirror

Here,

1/s' = 1/30 - 1/45

1/s' = 3/90 - 2/90

1/s' = 1/90

s' = 90 cm

The distance of the image from the mirror is 90 cm

Next,

Height of the image.

For that we have to find the magnification first;-

Magnification, M = - s'/s = - 90/45 = -2

Now,

Magnification in terms of height of the image;

M = y'/y

y' is the height of the image

y is the height of the object

So,

-2 = y'/6

y' = -2 x 6 = -12 cm

That is,

The image is of 12 cm height and which is inverted.

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Step-by-step explanation:

Hello, I need the function in order to give you a exact answer.

The equation that help use to find the value of x is h(a+b)/2 = lw.

The value of x if both figure have the same area is 4 in

Area can be defined as the region bounded by a plane shape.

To write and solve an equation to find x, we use the formula of area of a trapeziod and the area of a rectangle

From the diagram,

Where:

From the diagram,

Given:

Substitute these values into equation 1 and solve for x

Hence, the equation is h(a+b)/2 = lw, and the values of x  is 4 in.

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divide both sides of the equation by one of the variables to solve for that variable.

How do you solve an equation with two variables on both sides?

To solve systems of algebraic equations containing two variables, start by moving the variables to different sides of the equation. Then, divide both sides of the equation by one of the variables to solve for that variable. Next, take that number and plug it into the formula to solve for the other variable.

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The expected number of cars in a randomly selected American household will be 1.75.

Using the probability model, if we ignore some households that own more than 5 cars. Then,

Number of cars            Probability

0                                        0.09

1                                         0.36

2                                        0.35

3                                        0.13

4                                       0.05

5                                       0.02

Multiplying each possibility by its probability

∑xP(x)

= 0x0.09+1x0.36+2x0.35+3x0.13+4x0.05+5x0.02

=1.75

Probability is simply the possibility that something will happen. When we don't know how something will turn out, we can talk about the possibility of one outcome or the likelihood of several. The study of events that fit into a probability distribution is known as statistics. A probability model is a representation of a random occurrence in mathematics. It is defined by its sample space, occurrences, and related probabilities for each event. When choosing a sample from a population using the randomization principle, also referred to as chance or random selection, the procedure is known as probability sampling. Generally speaking, probability sampling is more challenging, expensive, and time-consuming than non-probability sampling.

Note that the full question is:

What’s the expected number of cars in a randomly selected American household?

(a) Between 0 and 5

(b) 1.00

(c) 1.75

(d) 1.84

(e) 2.00

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If the width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet. The perimeter of the rectangle will be 27t+3

It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is given that, The width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet.

We have to find find the perimeter of the rectangle.

The perimeter of a rectangle is two times the sum of the length and breadth as,

P = 2(l+w)

P=2(8t-5.5+5.5t + 7)

P=2(13.5t+1.5)

P=27t+3

Suppose the value of t is 1, the perimeter of the rectangle is found as,

P=27×1+3

P=30

Thus, if the width of a rectangle is 8t-5.5 feet and the length is 5.5t + 7 feet. The perimeter of the rectangle will be 27t+3

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Diana should reject the null hypothesis because the p-value is less than the value α=0.05.

Given that,

Let's say Diana, a researcher in education at a nearby university, wants to assess the effectiveness of a brand-new Spanish course that combines cultural immersion teaching methods with conventional teaching methods. She chooses a simple random sample of 72 freshmen, matches their IQs and high school GPAs, and then divides them into 36 pairs. She chooses one student from each pair at random to enroll in the new course, while the other student in the pair enrolls in the standard course.

We have to find the p-value.

We know that,

Let

t= difference/standard error =(0.11791)/(0.05242)=2.249

From excel: p value =t distance(2.249,36,2)=0.031

Since p value <0.05

Therefore, Diana should reject the null hypothesis because the p-value is less than the value α=0.05.

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The Central angle and the radius are not the same.

What is the Radius of a circle?

Any circular object's radius is the measurement from the center to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.

It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.

So, According to the question:

The angle formed by any two-circle radii is known as the central angle. The arc length, or the distance between the two places where the two radii cross the circumference, and the radius length must be determined in order to determine the central angle.

Hence,

The Central angle and the radius are not the same.

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There are a total of 20 * 6 = 120 numerals when  you form a numeral between 300 and 899, inclusive, using only the digits 1, 4, 5, 6, 8, and 9

Two mathematical ideas, permutation and combination, are used to specify the many ways in which items from a set can be chosen, often without replacement, to produce subsets.Combination is the selection , while permutations is the arrangement.For instance, if we have a group of three letters (A, B, C) inclusive, they may be combined to form the combinations ABC, ACB, BAC, BCA, CAB, and CBA. However, the result of these three letters combined would be ABC, AB, AC, BC, BA, CA, CB, and C. Probability, statistics, and computer science are just a few of the disciplines that benefit from permutation and combination.

How to solve?

We can choose 3 of the 6 digits in a total of 6C3 = 20 ways. Once we have chosen the 3 digits, we can arrange them in a total of 3! = 6 ways. Therefore, there are a total of 20 * 6 = 120 numerals.

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90% confidence interval would be less than a 95% confidence interval.

Given,

A random sample has been taken from a population. A statistician, using this sample, needs to decide whether to construct a 90 percent confidence interval for the population mean or a 95 percent confidence interval for the population mean;

We have to find the difference between the intervals;

Here,

Confidence intervals are a range that depict the accuracy of the measurement. If a statistician chooses to use a 90% C I instead of a 95% C I, it informs you that you have a 10% probability of being incorrect as opposed to a 5% possibility when using the 95%.

That is, a 90% confidence interval would be less than a 95% confidence interval.

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The total number of ways/ permutation that A occupies first position is 24 ,  A occupies the first position, and B the second is 6 and a appears before b is 10 ways.

What is permutation ?

Permutation is a meeting of objects in an exceedingly definite order. The members or components of sets square measure organized here in an exceedingly sequence or linear order.

Main body:

A) a occupies the first position-

As A is first, and arrange the remaining letters.  letters (B,C,D,E,F) can be arranged as-

4*3*2*1 = 24 ways

B) a occupies the first position, and b the second

As A is first and b is just after it , there are 5 position out of which 2 are taken by A, B in order , so number of ways they can be arranged is

3*2*1 = 6 ways

C) a appears before b

in this part there is no  condition that a appears just before b , so b can be places anywhere after A.

after fixing A at first place , B can be placed at 4 places.

after fixing A at 2nd place , B can be placed at 3 places.

after fixing A at 3rd place , B can be placed at 2 places.

after fixing A at 4th  place , B can be placed at 1 places.

total ways = 4+3+2+1 = 10

Hence the answer to these parts are 24, 6,10

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Answer:

one pen costs 0.5 euros

one rubber costs 0.75 euros

Step-by-step explanation:

4p+5r=5.75

p+4r=3.5

  -4r.   -4r

p=3.5-4r

4(3.5-4r)+5r=5.75

14-16r+5r=5.75

14-11r=5.75

-14.     -14

-11r=-8.25

r=0.75

One rubber cost 0.75 euros

Now to find cost of one pen we just fill in what we know

p+4(0.75)=3.5

p+3=3.5

 -3.  -3

p=0.5

1 pen cost 0.5 euros

Hopes this helps please mark brainliest

Reponse Rate , is the indicator which is used for review the researcher's overall quality of a data collection efforts .

Reponse Rate:

It provides valuable insight into the accuracy of the data collected. Simply put, the response rate is the number of people who completed the survey divided by the number of people who make up the entire sample group.

It is important to note that response rates can only be calculated for defined sample groups.

Example:

We have a survey with the following stats:

Message sent: 1000

Number of respondents surveyed: 250

Number of surveys completed: 300

Let's calculate the response rate .

response rate = number of surveys completed / number of emails sent

response rate = 30%.

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Answer:

32, 39, 46

Step-by-step explanation:

Given sequence:

Work out the differences between the terms:

[tex]4 \underset{+7}{\longrightarrow} 11 \underset{+7}{\longrightarrow} 18 \underset{+7}{\longrightarrow} 25[/tex]

As the difference between each term in the sequence is constant, the sequence is an arithmetic sequence with common difference of 7.

To find the next three terms in the given sequence, simply add 7 to the previous term:

[tex]\implies 25 + 7 = 32[/tex]

[tex]\implies 32 + 7 = 39[/tex]

[tex]\implies 39 + 7 = 46[/tex]

Answer:

Step-by-step explanation:

Next three terms are 32, 39, 46

As the different in all of them is of 7 so we add 7 with each term to get the next terms :)

The two areas at the end of a normal curve that indicate low probability values if the null hypothesis is true are called the critical region.

Critical region: A set of values for the test statistic for which the null hypothesis is rejected is referred to as a critical region, also known as the rejection region. Specifically, we accept the alternative hypothesis and reject the null hypothesis if the observed test statistic is within the critical region.

The probability of rejecting H0, or the Null Hypothesis, is represented by the alpha level. The critical region is the set of z values on a graph that result in the null hypothesis being rejected.

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The result of subtracting and simplifying the rational expression in its fully factored form is [tex]\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}[/tex]

From the question, we are to subtract the rational expressions and express in the factored form

The given expression is

[tex]\frac{n^{2} + 5n - 36 }{n^{2} -25} - \frac{n^{2} +8n +15 }{5n^{2} -125}[/tex]

Factor 5n² - 125

[tex]\frac{n^{2} +5n - 36 }{n^{2} -25} - \frac{n^{2} +8n +15 }{5(n^{2} -25)}[/tex]

[tex]\frac{5(n^{2} +5n - 36) - (n^{2} +8n +15) }{5(n^{2} -25)}[/tex]

[tex]\frac{5n^{2} +25n - 180 - n^{2} -8n -15 }{5(n^{2} -25)}[/tex]

Simplify

[tex]\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}[/tex]

Hence, the expression is [tex]\frac{4n^{2} +17n - 195 }{5(n^{2} -25)}[/tex]

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The correct option is option A.

Urenium Mining, 60 millions or 10% its uranium has been used.

Mining of Uranium :

In Uranium Mining Uranium is found in small amounts in most rocks and seawater. Uranium mines operate in many countries, but over 85% of uranium is produced in six countries: Kazakhstan, Canada, Australia, Namibia, Niger and Russia.

Currently, the world's uranium mines use a method called in situ leaching. Oxygenated water (or an alkaline, acidic, or oxidizing solution) is circulated through the uranium ore to extract uranium. After uranium has been used in a nuclear reactor for about three years to generate electricity, the spent fuel goes through a series of steps such as temporary storage, reprocessing and recycling before the waste produced is disposed of. It may pass. Collectively, these steps are known as the "back end" of the fuel cycle. About 60 million or 10% of the urenium in the,

reactor was used.

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Boris should navigate 79.74° to go to Island C.

Given,

Boris is on vacation at a tropical bay that has three islands.

Distance between Island A and Island C = 13 miles

Distance between Island B and Island C = 14 miles

Distance between Island A and Island B = 8 miles

Boris rents a boat on Island A and plans to navigate to Island C.

We have to find that at what angle should she navigate to go to Island C

Here,

14² = 13² + 8² - (2 × 13 × 8) Cos A

Cos A = (13² + 8² - 14²) / (2 × 13 × 8)

Cos A = (169 + 64 - 196) / 208

Cos A = 37/208

A = arc Cos 0.178

A = 79.74°

Therefore,

Boris should navigate 79.74° to go to Island C.

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The given question is incomplete. Completed question is given below;

Boris is on vacation at a tropical bay that has three islands. He rents a boat on Island A and plans to navigate to Island C, which is 13 miles away. Based on the figure below, at what angle θ should he navigate to go to Island C? Carry your intermediate computations to at least four decimal places. Round your answer to the nearest tenth of a degree . × S

Image is attached;

The conditions of the system of equations to be Non Linear is given below .

In the question ,

we have to find the conditions for which the system of equations is non linear .

the conditions are ,

(1) the Non Linear equations does not form a straight line instead it forms a curve .

(2) the non linear equations have the degree as 2 or more than 2 , but not less than 2 .

(3) the general representation of the non linear equation is ax² + by² = c

(4) The non linear equations forms a curve and if the value of the degree is increased , then the curvature of the graph increases.

Therefore , These are the conditions of the system of equations  to be Non -Linear .

The given question is incomplete , the complete question is

What are the conditions of a system of equations to be nonlinear ?

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Answer:

The factors of 12 are 1, 2, 3, 4, 6, 12

Step-by-step explanation:

Basically what numbers can be multiplied to equal to 12

Example:

1 x 12 = 12

2 x 6 = 12

3 x 4 = 12

The slope of a ki run that rise 5 feet for every horizontal change of 12 feet. The horizontal change of 12 feet is 2.0833.

The The slope of a line is "upward thrust over run". That could be 6/30 on this case. That may be simplified to 1/5 (via way of means of dividing each numbers via way of means of 6).That makes the slope 1/5 (or 0.2 as a decimal.

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Anthony's expected earning would be $175 in a day when he waits in 20 tables.

According to the question,

We have the following information:

Each day Anthony works, Anthony will make a guaranteed wage of $35, however the additional amount that Anthony earns from tips depends on the number of tables he waits on that day. From past experience, Anthony noticed that he will get about $7 in tips for each table he waits on.

Now, for waiting on 20 tables, he will get the fixed amount of 35 dollars and the amount for 20 tables.

So, the total amount will be:

35+7*20

35+140

$175

Hence, Anthony would expect to earn $175 in a day when he waits in 20 tables.

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