the number of farms in a certain state has declined continually since 1950. in​ 1950, there were farms and in 1995 that number had decreased to . assuming the number of farms decreased according to the exponential​ model, find the value of k and write an exponential function that describes the number of farms after time​ t, in​ years, where t is the number of years since 1950.

The circumcenter of a triangle is the point where the perpendicular bisectors of all three sides of the triangle intersect.

To find the circumcenter of a triangle, you can:

Draw the perpendicular bisectors of all three sides of the triangle.

Locate the point where the three bisectors intersect. This is the circumcenter of the triangle.

To find the circumcenter of a triangle with the coordinates of its three vertices, use the circumcenter formula which is (x₁ + x₂ + x₃)/3 and (y₁ + y₂ + y₃)/3 for x and y coordinates respectively.

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Answer:

-3=x

Step-by-step explanation:

3(x+4)-5=2x+4

use distributive property to get:

3x+12-5=2x+4

simplify to get:

3x+7=2x+4

subtract 4 from both sides to get:

3x+3=2x

subtract 3x from both sides to  get:

3=-x

multiply both sides by -1 to get your answer:

-3=x

Answer:

y=4x-2

Step-by-step explanation:

y=mx+b

plug in known variables

6=(4)(2)+b

simplify

b=-2

plug in m and b

y=4x-2

Answer:

32.1 dollars each ticket is the answer

Answer:

mate the answer for your question is 31.2

Step-by-step explanation:

so

156*20/100

31.2

156-31.2

124.8

124.8/4=

31.2

(a) To verify that f(1) = f(2), we substitute t = 1 and t = 2 into the function f(t) = -16t^2 + 48t + 6 and compare the results.

f(1) = -16(1)^2 + 48(1) + 6 = -16 + 48 + 6 = 38

f(2) = -16(2)^2 + 48(2) + 6 = -16(4) + 48(2) + 6 = -64 + 96 + 6 = 38

Since f(1) = f(2), the equation f(1) = f(2) is verified.

(b) According to Rolle's Theorem, for a function to have a derivative of zero at some point in the interval (1, 2), it must have a local maximum or minimum at that point. In the context of vertical motion, this corresponds to the ball reaching its highest point and momentarily coming to a stop before falling back down.

To find the time at which the ball reaches its highest point, we can find the time when the velocity is zero. The velocity function is the derivative of the height function f(t). Taking the derivative of f(t) = -16t^2 + 48t + 6, we get:

f'(t) = -32t + 48

To find when f'(t) = 0, we solve the equation -32t + 48 = 0:

-32t = -48

t = 1.5

Therefore, according to Rolle's Theorem, there must be a time between 1 and 2 seconds when the velocity of the ball is zero. In this case, the time is t = 1.5 seconds.

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The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

Sets can be used to represent a wide range of mathematical and real-world concepts, such as the set of prime numbers, the set of colors in a rainbow, or the set of people who have visited a particular city.

Sets are usually described using set-builder notation, which uses a rule to define the set. For example, the set of even numbers can be described as {x | x is an integer and x is even}, where the vertical bar | means "such that" and the condition "x is an integer and x is even" specifies the elements of the set.

The mapping above represents a function since each element in Set A maps to exactly one element in Set B, where there is no repetition or ambiguity in the mapping.

To fill in the blanks:

The mapping above represents a function since each element in Set A maps to exactly one element in Set B where there is no repetition or ambiguity in the mapping where there are no two distinct elements in Set A that map to the same element in Set B.

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Answer:

True: A, B, F

False: C, D, E

Step-by-step explanation:

volume of a cone:

\(V=\dfrac13 \pi r^2h\)

(where r is the radius and h is the height)

Area of the base = area of a circle:

\(A=\pi r^2\)

(where r is the radius)

Cone A

radius (r) = 9

height (h) = 12

\(V=\dfrac13 \pi (9^2)(12)\)

\(A=\pi (9^2)\)

Cone B

radius (r) = 7

height (h) = 18

\(V=\dfrac13 \pi (7^2)(18)\)

\(A=\pi (7^2)\)

Cone C

diameter = 18  ⇒  radius (r) = 9

height (h) = 9

\(V=\dfrac13 \pi (9^2)(9)\)

\(A=\pi (9^2)\)

True: A, B, F

False: C, D, E

The 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

Rounding is a technique to reduce a large number to a smaller, more approachable figure which is very similar to the actual. Rounding numbers can be achieved in a variety of ways.

It is given that:

14.2 cm correct 1 decimal place

14.2

Rounded to the nearest 0.1 or

the Tenths Place.

Rounded to the nearest tenth place. The 2 in the tenth place rounds down to 2 or stays the same because the digit to the right in the hundredth place is 14.2

Thus, the 14.2 cm correct 1 decimal place is 14.2 after rounding to the nearest 0.1 or the tenth place.

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Answer:

Therefore, the volume of the cylinder is about 3016 cubic centimeters. Subjects Near Me

Step-by-step explanation:

thank me later

Answer:

3016 cubic cubes

Step-by-step explanation:

Answer:

-4x - 5

Step-by-step explanation:

4x - (8x + 3) - 2

Dstribute the negative

4x - 8x - 3 - 2

combine like terms

-4x -5

Answer:

Yes

Step-by-step explanation:

Multiplicative Inverse of rational number:

       When we multiply a rational number and its multiplicative inverse, we get 1

     \(\sf -5 \dfrac{2}{3}=\dfrac{-17}{3}\)

  Now,multiply this with (3/-17)

          \(\sf \dfrac{-17}{3}*\dfrac{3}{-17} = 1\)

So, -5 2/3  is the multiplicatice inverse of 3/-17

Answer:

I think its 40 I could be wrong

Step-by-step explanation:

I had subtract 80 and 40

Answer:

The percent of the bill he paid as the tip is 20% (explanation below)

Step-by-step explanation:

7.15/35.75 x 100% = 20%

The given statement is False. A test statistic based on point estimation is not used to construct the decision rule which defines the rejection region.

In hypothesis testing, a test statistic is calculated using sample data and a specific hypothesis to assess the strength of evidence against the null hypothesis. The decision rule, which determines whether to reject or fail to reject the null hypothesis, is based on the test statistic's distribution under the null hypothesis, rather than the point estimate itself.

The construction of the decision rule involves selecting a significance level (alpha), which represents the probability of rejecting the null hypothesis when it is actually true. The rejection region is determined based on the chosen significance level and the distribution of the test statistic. If the calculated test statistic falls within the rejection region, the null hypothesis is rejected; otherwise, it is not rejected.

Point estimation, on the other hand, is used to estimate an unknown parameter of interest, such as the population mean or proportion, based on sample data. It involves calculating a single value (point estimate) that represents the best guess for the parameter value. The point estimate is not directly involved in constructing the decision rule or defining the rejection region in hypothesis testing.

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False. A test statistic based on point estimation is not used to construct the decision rule that defines the rejection region.

The process of hypothesis testing involves constructing a decision rule to determine whether to accept or reject a null hypothesis based on sample data. The decision rule is typically defined using a critical region or rejection region, which is a range of values for the test statistic.

Point estimation, on the other hand, is a method used to estimate an unknown population parameter based on sample data. It involves calculating a single value (point estimate) that serves as an estimate of the population parameter.

While point estimation and hypothesis testing are both important concepts in statistics, they serve different purposes. Point estimation is used to estimate population parameters, whereas hypothesis testing involves making decisions based on sample data.

The decision rule for hypothesis testing is typically constructed based on the significance level (alpha) and the distribution of the test statistic, such as the t-distribution or the standard normal distribution. The test statistic is calculated using sample data and compared to critical values or calculated p-values to determine whether to reject the null hypothesis.

Therefore, the statement that a test statistic based on point estimation is used to construct the decision rule defining the rejection region is false.

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Answer:

perimeter is 20 cm

Answer:jh

43

Step-by-step explanation:

Trust meTrust meTrust me ps

Answer:

the answer is B because 3(x-2) is the same as 3x -2

a) The minimum number of dogs that could have a mass of more than 27 kg is 4.

b) The maximum number of dogs that could have a mass of more than 27 kg is 17.

What is interval?

In mathematics, an interval is expressed in numerical terms. All the numbers between two specific integers are referred to as an interval. All actual values between those two are included in this range. Any form of number one may imagine is a real number.

The given table shows information about the masses of some dogs.

a) As, the minimum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the minimum value out of 13 and 4 is 4.

b) As, the maximum number of dogs is needed to be found, then -

Assume all dogs present in the interval 20 to 40 have a mass of more than 27 kg so the maximum of the values present in the interval 20 to 40 is 13 + 4 = 17.

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Answer:

28?

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

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..................................................................................................dotty gangz .............................................................................

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Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

Answer:

I dont. understannnnd

Answer:

length= 710 width= 420

Step-by-step explanation:

As we consider a rectangle we can replace "length" with l and "width" with w so that the perimeter will be:

2l+2w= 2260

With the length as:

l= w+290

The length, substituted into the perimeter is:

2(w+290)+2w=2260

Distribute:

4w+580=2260

Subtract:

4w=1680

Divide:

w=420

To find the length, take the width and add 290:

420+290=710

l=710

Answer:

2 x 3 x 5²

Step-by-step explanation:

The number 150 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 150.

Step 1: The first step is to divide the number 150 with the smallest prime number, say 2.

150 ÷ 2 = 75

Step 2: You will get a fractional number if you divide 75 by 2. Continue with the next prime number, say 3.

75 ÷ 3 = 25

Step 3: Again you will get a fractional value when you divide 25 by 3 hence, continue with the next prime number say 5.

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further. So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

The solution is, : 150 as a product of primes is, 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

A number is a mathematical object used to count, measure, and label. The original examples are the natural numbers 1, 2, 3, 4, and so forth. Numbers can be represented in language with number words.

here, we have,

The number 150 is a composite and it should have prime factors. Now let us know how to calculate the prime factors of 150.

Step 1: The first step is to divide the number 150 with the smallest prime number, say 2.

150 ÷ 2 = 75

Step 2: You will get a fractional number if you divide 75 by 2. Continue with the next prime number, say 3.

75 ÷ 3 = 25

Step 3: Again you will get a fractional value when you divide 25 by 3 hence, continue with the next prime number say 5.

25 ÷ 5 = 5

5 ÷ 5 = 1

Finally, we received the number 1 at the end of the division process. So that we cannot proceed further.

So, the prime factors of 150 are written as 2 x 3 x 5 x 5 or 2 x 3 x 5², where 2, 3 and 5 are the prime numbers.

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This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

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Answer:

B- 168 people

Step-by-step explanation:

300 * .56 is how you would get 56% (or the amount of car owners preferring four car doors) of the sampled population!

That equals 168 people.

Answer:

Step-by-step explanation:

It would be 56% of 300:

Correct choice is B

the probabilities for each event are Red ball: 1/5, White ball: 7/20, Yellow ball: 9/20 by using formula of  probability =possible outcome /total outcomes

To find the probability of a given event, we need to determine the number of successful outcomes and divide that by the total number of possible outcomes.

In this case, the event we want to find the probability for is not specified, so I will provide the probabilities for each color:

1. Probability of drawing a red ball:

Number of successful outcomes: 4 red balls
Total number of outcomes: 4 red + 7 white + 9 yellow = 20 balls

Probability of drawing a red ball = (Number of red balls) / (Total number of balls) = 4/20 = 1/5

2. Probability of drawing a white ball:

Number of successful outcomes: 7 white balls

Probability of drawing a white ball = (Number of white balls) / (Total number of balls) = 7/20

3. Probability of drawing a yellow ball:

Number of successful outcomes: 9 yellow balls

Probability of drawing a yellow ball = (Number of yellow balls) / (Total number of balls) = 9/20

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The equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slope 4 in the positive x direction and slope 4 in the positive y direction, is 2x - 2y - 1 = 0.

To find the equation of the tangent plane to the function f(x, y) = x^2 - 2xy + 3y^2, we need to determine the partial derivatives of f with respect to x and y. The partial derivative of f with respect to x, denoted as ∂f/∂x, measures the rate of change of f with respect to x while keeping y constant. Similarly, the partial derivative of f with respect to y, denoted as ∂f/∂y, measures the rate of change of f with respect to y while keeping x constant.

Taking the partial derivatives of f(x, y) = x^2 - 2xy + 3y^2, we get: ∂f/∂x = 2x - 2y ∂f/∂y = -2x + 6y

Next, we need to find the point (a, b) where the tangent plane intersects the surface defined by f(x, y). At this point, the partial derivatives of f must equal the given slopes. So, we have the following equations: 2a - 2b = 4 (slope in the positive x direction) -2a + 6b = 4 (slope in the positive y direction)

Solving these equations simultaneously, we find a = 2 and b = 1.

Finally, using the point-normal form of the equation of a plane, we can write the equation of the tangent plane as: 2x - 2y - f(2, 1) = 0

Substituting the values of a and b into f(x, y), we have: 2x - 2y - (2^2 - 2(2)(1) + 3(1)^2) = 0 2x - 2y - 1 = 0

Therefore, the equation of the tangent plane to f(x, y) = x^2 - 2xy + 3y^2, with slope 4 in the positive x direction and slope 4 in the positive y direction, is 2x - 2y - 1 = 0.

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Answer:

f(-1) = 1

Step-by-step explanation:

Are you missing a number after the negative in f(-)?

If so, let me solve for f(-1) so substitute in the n with a -1 so f(-1) = 5(-1) + 6

so f(-1) = -5 + 6 so f(-1) = 1