The graph below represents the number of miles, y, that the satellite Space Explorer
flies in a hours. Find the rate of change.
Miles
90,000
85,000
80,000
75,000
70,000
65,000
60,000
55,000
50,000
45,000
40,000
35,000
30,000
25,000
20,000
15,000
10,000
5,000
Answer:
0
Space Explorer
Seve
(10,10000)
(5.5000)
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18
Hours
miles per hour
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The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

An expression in maths, a sentence with a minimum of two numbers or variables and at least one math operation.

Given an expression b(3) + 20.4

When b = 8.9

8.9*3 + 20.4 = 47.1

When b = 5.1

5.1*3 + 20.4 = 35.7

When b = 0.2

0.2*3 + 20.4 = 21

Hence, The expression for the values of b, when b = 8.9 is 47.1, when b = 5.1 is 35.7 and when x = 0.2 is 21

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Answer:

r=10.9cm

Q=12cm

S=14.42cm

Step-by-step explanation:

Pythagoras theorem states H²=b²+h²

H-hypotenuse

B-base

h-height

E.g q 4²+3²=HE

H=√25=5

13²=b²+5²

b²=169-25

b=√144=12

Q=12cm

The margin of error for the confidence interval for the population proportion with a 95% confidence level is 0.000207

finding the percentage of 65 of 330 individuals

65 / 330 * 100 = 19.697% = 0.19697

number of samples, n = 330

standard deviation, σ   is calculated from

= √{(p(1 - p)) / n}

= √{(0.197 * (1 - 19.7)) / 330}

= √{(0.197 * (0.803)) / 330}

= 0.022

Margin of error, E

= Z(0.95) * σ/√(n)

= 0.171 * 0.022/√(330)

= 0.171 * √(0.022²/330)

= 0.000207

= 0.021%

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You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.

To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:

FV = PV * \((1 + r)^n\)

Where:

FV is the future value

PV is the present value (initial investment)

r is the interest rate per period

n is the number of periods

In this case:

PV = $39,000

FV = $174,000

r = 10% per year

Let's calculate the number of periods (years):

FV = PV * \((1 + r)^n\)

174,000 = 39,000 * \((1 + 0.10)^n\)

Divide both sides by 39,000:

4.4615 = \((1.10)^n\)

Take the logarithm of both sides to solve for n:

log(4.4615) = n * log(1.10)

n ≈ log(4.4615) / log(1.10)

n ≈ 2.1270 / 0.0414

n ≈ 51.33 (rounded to two decimal places)

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Answer:

Step-by-step explanation:

first you determine the X and the Y value

lets start off by giving an example.

(2,6)

(X,Y)

the number on the left is always going to be the X value and the number on the right is always going to be the Y value.

X on a graph is the horizontal line and Y on the graph is the vertical line

horizontal is left to right

and vertical is up and down

if we have the ordered pair (2,6)

our X is 2

our Y is 6

(the example is in this screenshot)

The experimental probability of an even number other than 8 being generated is, 0.44

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

Total number of numbers = 300

Number of even numbers = 154

Number of eight = 22

Hence, Number of even numbers other than 8 is,

154 - 22 = 132

Thus, Probability is,

= [number of even numbers other than eight] / [total number of numbers]

= 132/300

= 0.44

Thus, The experimental probability of an even number other than 8 being generated is, 0.44

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The global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

Given function is `f(x,y)=11x−5y`We need to determine the global extreme values of the given function under the following conditions:y ≥ x - 3y ≥ -x - 3y ≤ 11Now, we need to find the critical points of the given function. For that, we'll calculate partial derivatives of the given function w.r.t x and y.`∂f/∂x = 11``∂f/∂y = -5`As we can see, the partial derivative of the function w.r.t x is positive. Therefore, the critical points of the given function would be the points where `∂f/∂y = -5 = 0`.Since there's no such point satisfying the above equation under given conditions, we can say that there's no critical point under given conditions.Now, let's evaluate the function at the boundaries given:At `y = x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(x - 3)``= 6x + 15`At `y = -x - 3`, `f(x,y) = 11x - 5y``= 11x - 5(-x - 3)``= 16x + 15`At `y = 11`, `f(x,y) = 11x - 5y``= 11x - 5(11)``= 11x - 55`Now, to find the maximum value of `f(x,y)` under given conditions, we need to choose the maximum value among the above calculated values.In this case, `f(x,y)` is maximum at `y = -x - 3`, which is `16x + 15`.Therefore, the maximum value of `f(x,y)` under given conditions is `16x + 15`.Similarly, to find the minimum value of `f(x,y)` under given conditions, we need to choose the minimum value among the above calculated values.In this case, `f(x,y)` is minimum at `y = 11`, which is `11x - 55`.Therefore, the minimum value of `f(x,y)` under given conditions is `11x - 55`.Hence, the global extreme values of the function `f(x,y) = 11x - 5y` under given conditions are:`f(x,y) = 16x + 15` (maximum)`f(x,y) = 11x - 55` (minimum).

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Answer:

B. 1395 sq. units

Step-by-step explanation:

Since the shape is an octagon, it is also composed of 8 triangles. If you solve the formula for the area of a triangle with those numbers and multiply it by the amount of sides you will have the total area.

Answer:

B. 1395 sq. units

Step-by-step explanation:

A=2(1+\(\sqrt{2}\))a²

A=2(1+\(\sqrt{2}\))17²

A=2(1+\(\sqrt{2}\))289

A≈4.83×289

A≈1395.87

A≈1395 units²

The option that fits this is B. 1395 sq. units

Answer:

72,072

Step-by-step explanation:

To determine the number of different ways the committee can be formed, we need to calculate the combination of selecting 5 teachers out of 10 and 3 students out of 13.

The number of ways to choose 5 teachers out of 10 is given by the combination formula:

C(10, 5) = 10! / (5! * (10 - 5)!) = 252

Similarly, the number of ways to choose 3 students out of 13 is:

C(13, 3) = 13! / (3! * (13 - 3)!) = 286

To find the total number of ways the committee can be formed, we multiply the number of ways to choose teachers by the number of ways to choose students:

Total number of ways = 252 * 286 = 72,072

Therefore, there are 72,072 different ways the committee can be formed.

Answer:

13

Step-by-step explanation:

Replace X with 2

Evaluate the function. g(x) = 3x^2 – 2x + 5 Find f(2)​

g(x) = 3(2)^2 – 2(2) + 5

Next conduct PEMDAS

Exponents are first so solve 2^2 which is 2 x 2 = 4

g(x) = 3(4) – 2(2) + 5

Next step is multiplication multiply 3 x 4 and 2x2

g(x) = 12 – 4 + 5

conduct adding and subtracting left from right

g(x) = 13

Given that the velocity of the particle isv(t) = (2t, 2t - 1,2 – 4t), where t > 0.(a) To find the particle's position at any time t, we need to integrate the velocity function v(t).

Thus, we obtain the position function P(t) by integrating v(t) with respect to t.

The position function P(t) is given as:P(t) = ∫v(t)dt, where the integration is done from the initial time t=0 to the time t.

The position function for the given velocity function is:

P(t) = (t2 + 2, t2 - t + 1, 2t - 2t2/2) + (2, 1, 0)

= (t2 + 4, t2 - t + 2, 2 - t2).

(b) The particle's position is given by the position function

P(t) = (t2 + 4, t2 - t + 2, 2 - t2).

To find the value of t when the particle is at the origin, we set each component of P(t) to zero and solve for t.t2 + 4 = 0

⇒ t2 = - 4

[No solution since t > 0]t2 - t + 2 = 0

⇒ t2 - t

= - 2t2 + t

= 2t(t - 1)

= 2t

= - 2

[No solution since t > 0]2 - t2 = 0

⇒ t2 = 2t

= √2

The particle is never at the origin because t cannot be negative or zero.

Therefore, there is no value of t at which the particle is at the origin.

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a. The equilibrium level of income is zero in this scenario.

b. Increasing unplanned inventories leads to a decrease in overall production and income.

c. Decreasing unplanned inventories by $1 leads to an increase in overall production and income.

Let us discuss in a detailed way:

a. The equilibrium level of income can be determined using the marginal propensity to consume (MPC) and the concept of autonomous spending. The formula to calculate the equilibrium level of income is given by:

Equilibrium level of income = Autonomous spending / (1 - MPC)

In this case, the autonomous spending is assumed to be zero because there is no government intervention.

Therefore, the equation simplifies to:

Equilibrium level of income = 0 / (1 - 0.75) = 0 / 0.25 = 0

Hence, the equilibrium level of income in this scenario is zero.

b. When the producers increase their unplanned inventories, it suggests that actual spending is lower than the level of output being produced. This situation can lead to a decrease in overall production and income in the economy. The decrease occurs because producers respond to the unplanned increase in inventories by reducing their level of output to match the lower level of demand.

c. When the producers decrease their unplanned inventories by $1, it indicates that actual spending exceeds the level of output being produced. This situation can lead to an increase in overall production and income in the economy. The increase occurs because producers respond to the unplanned decrease in inventories by increasing their level of output to meet the higher level of demand.

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Answer:I have the same thing

Step-by-step explanation:

Answer:

Step-by-step explanation:

ima a braintlest

The probability that the sample mean will be within plus minus 2 of the population mean if the sample size is n = 100 between z-scores of 0 and 2.5 using a z-table.

The standard deviation of the sample distribution, commonly known as the standard error, can be computed using the formula given that the population mean is 100 and the standard deviation is 16:

Standard Error = Standard Deviation / sqrt(sample size)

Let's determine the likelihoods for sample sizes of n = 100 and n = 400:

For n = 100:

Standard Error = 16 / sqrt(100) = 16 / 10 = 1.6

We can determine the z-scores for the upper and lower boundaries to establish the likelihood that the sample mean will be within plus or minus 2 of the population mean:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 1.6

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 1.6

Upper Bound z-score = 4 / 1.6

Upper Bound z-score = 2.5

We can calculate the region under the normal distribution curve between z-scores of 0 and 2.5 using a z-table or statistical software. This shows the likelihood that the sample mean will be within +/- 2 standard deviations of the population mean.

For n = 400:

Standard Error = 16/√400

Standard Error = 16/20

Standard Error = 0.8

We determine the z-scores by following the same procedure as above:

Lower Bound z-score = (Sample Mean - Population Mean) / Standard Error

Lower Bound z-score = (100 - 100) / 0.8

Lower Bound z-score = 0

Upper Bound z-score = (Sample Mean - Population Mean) / Standard Error

Upper Bound z-score = (104 - 100) / 0.8

Upper Bound z-score = 4 / 0.8

Upper Bound z-score = 5

Once more, we may determine the region under the normal distribution curve between z-scores of 0 and 5 using a z-table or statistical software.

A larger sample size, like n = 400, has the benefit of a lower standard error. The sampling distribution of the sample mean will be more constrained and more closely resemble the population mean if the standard error is less.

As a result, there is a larger likelihood that the sample mean will be within +/- 2 of the population mean. In other words, the estimate of the population mean gets more accurate and dependable as the sample size grows.

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Answer: 41/365

Step-by-step explanation:

The probability of being born in May is 31/365 (May has 31 days and there are 365 days in a year).

The probability of being born on the 30th of the month is 11/365 (11 months have at least 30 days). However, since we have included May 30 in our MAy probability, we need to use the probability of 10/365.

Add the two probabilities together, and the probability of being born in May or on the 30th is 31/365 + 10/365 = 41/365.

Answer:

x=3

Step-by-step explanation:

x+4>7

7-4=3

x=3

....

The total amount of fencing they need = 38x + 10.

Perimeter for the rectangular fencing of the home = 160 yards

Perimeter for the square fencing of the pool = 40 yards

Perimeter of a rectangle = 2(length + width)

Perimeter of a square = 4(side length).

Perimeter for the rectangular fencing of the home = 2(3 + 10x + 2 + 5x) = 2(15x + 5) = 30x + 10

Perimeter for the square fencing of the pool = 4(2x) = 8x

The total amount of fencing they need = 30x + 10 + 8x = 38x + 10.

If x = 5, then:

Perimeter for the rectangular fencing of the home = 30x + 10 = 30(5) + 10 = 160 yards

Perimeter for the square fencing of the pool = 4(2x) = 8x = 8(5) = 40 yards.

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Answer:

38
160
40

Step-by-step explanation:

The number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

In this question,

Positive integers are 0,1,2,3,4,5,6,7,8,9

Total number of integers = 10

This can be solved by permutation concepts.

Case 1: 4-digit positive integers with no repeated digits,

First digit, cannot be zero. So remaining 9 digits.

Second digit, can be any digit other than the first digit. So 9 digits.

Third digit, can be any digits other than first and second. So 8 digits.

Fourth digit, can be any digits other than first, second, third digit. So 7 digits.

Thus, Number of ways of 4-digit positive integers with no repeated digits ⇒ (9)(9)(8)(7)

⇒ 4536 ways.

Case 2:  4-digit positive integers, there may be repeated digits, but all digits are odd

Odd integers are 1,3,5,7,9

Number of digits = 5

In this case, we can repeat the digits. So all places can have 5 possibilities.

Thus number of ways of 4-digit positive integers with repeated digits, but all digits are odd = (5)(5)(5)(5)

⇒ 625 ways.

Hence we can conclude that the number of ways of arranging 4-digit positive integers with no repeated digits is 4536 ways and number of ways of 4-digit positive integers with repeated digits, but all digits are odd is 625 ways.

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Trapezoid JKLM is shown on the coordinate plane, the coordinates of L should be (8,-6) if the rule is (x + 5, y - 4), because the coordinates are (3, -2), and you have to add 5 to x, and -4 to y.

The origin of the coordinate system is the intersection of the axes, and the first and second coordinates are known as the abscissa and the ordinate of P, respectively. The coordinates are often represented as two integers enclosed in parenthesis and placed in that particular order, all separated by commas. Coordinates are two integers (Cartesian coordinates) or, in certain cases, a letter and a number that point to a specific place on a grid known as a coordinate plane. The x axis (horizontal) and y axis are the two axes of a coordinate plane, which contains four quadrants (vertical).

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The complete question is as follows:

\(\huge\text{Hey there!}\)

\(\mathsf{f(x) = 5x + 6}\\\mathsf{f(x) = 5(-7) + 6}\\\mathsf{f(x) = -35 + 6}\\\mathsf{f(x) = -29}\\\\\\\huge\text{Therefore your answer should be:}\\\huge\boxed{\mathsf{f(x) = -29}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

Answer:

6

Step-by-step explanation:

first, we multiply the 8(x - 2)

8 times x = 8x

8 times - 2 = -16

8x - 16 - 4 = 28

-16 - 4 = -20

8x -20 = 28

add 20 to both sides

48

8x = 48

divide

6

Answer:

x=6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.(Can you give me brainliest?)

The combined score for Jodi and Joe is 9-i

Two complex numbers, z₁ = a + bi and z₂ =c +di, can be added by adding the corresponding real and imaginary parts. That is:

z₁+z₂ = (a+c) + (b+d)i

Given: Jodi's score = 5−3i and Joe's score = 4 + 2i

Combined score = 5−3i + 4 + 2i

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

                           = 9-i

Therefore, the combined score is 9-i

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Answer:

The answer is 98304

Step-by-step explanation:

Answer:

270 times

Step-by-step explanation:

The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.

Answer:

A) The 4 and (-4) are 0s.

B) 0 points after the second round

C) 4+(-4) is 0

The 4 and the (-4) are the zero pairs in the model

Andrew has 4 + (-4) = 0 points after the second round.

4 + (-4) = 0

Answer: x = -1/7, y = 1

Step-by-step explanation: 2 + 6x = 1 - x, first to isolate x we add x to both sides giving us 2 + 7x = 1. Then, subtract two from both sides giving us 7x = -1. Finally divide by 7 to both sides give x = -1/7.

5y + 4 = 4y + 5, first to isolate the variable subtract 4y from both sides giving us y + 4 = 5. Then, subtract 4 from both sides giving us y = 1.

True: A test statistic based on point estimation is used to construct the decision rule which defines the rejection region.

False: A p-value is the highest level (of significance) at which the observed value of the test statistic is insignificant. (A p-value is the lowest level of significance at which we can reject the null hypothesis.)

True: We prefer a short interval with a high degree of confidence.

False: Prediction interval (P.I) is always narrower than confidence interval (C.I) because there is less uncertainty in predicting an actual observation than estimating the average. (Prediction intervals are generally wider than confidence intervals due to the additional uncertainty in predicting individual observations.)

True: Sample is a subset of observation from a population. These should be representative of the population.

False: An estimate is a random variable of an estimator. (An estimator is a function of a random variable, while an estimate is a realization or observed value of that estimator.)

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Answer:

f(x) = 4x - 1

Step-by-step explanation:

The answer to this question is f(x) = 4x - 1 because function notation displays the values of how the input of x yields the output of y. This means that in this form, y is changed to the x input where the substitution of the x in the equation yields the new y.

Answer:

I'm not really sure man :P