What is the answer to this question

Answer:

\(\$1583.33\)

Step-by-step explanation:

Let \(d\) be the amount of money you need to save each month to have the full $23,000.

We can write the following inequality:

\(4,000+12d\geq 23,000\)

Solving for \(d\):

\(4,000+12d\geq 23,000,\\12d\geq 19,000\\d\geq \approx \boxed{\$1583.33}\)

The ^ symbol means exponent. We have 2 as the base and 5 as the exponent. You might write it like this \(2^5\) though 2^5 is more common with computers and keyboards.

Using your calculator, you should find that 2^5 = 2*2*2*2*2 = 32. We have five copies of the base 2 multiplied together.

You can use logs to determine how to write 32 as a base 2. You would do so like this

log(32)/log(2) = 5

it doesn't matter which base log you use. This is through the change of base formula.

Answer:

0.8r

Step-by-step explanation:

r - 0.2r = 1r - 0.2r = (1 - 0.2)r = 0.8r

Answer:

0.8r

Step-by-step ex

took test

Answer:

(a) The system returns to equilibrium when y(t) = 0 at t = 2πk

(b) The turning points of the solution occur when y'(t) = 0 at t = 2πk + π/2

Step-by-step explanation:

To find the particular solution that satisfies the initial conditions of being stretched 1 unit away from equilibrium and given an initial velocity of 10 units/sec, we can solve for the constants c1 and c2.

y(0) = c1 = 1

y'(0) = -c1/2 + (c2/2)i + 5 = 10

c2 = 10i - 6

So the particular solution is y(t) = e^(-t/2) (cos(t/2) + (10i - 6)sin(t/2)).

Since the damping coefficient is proportional to the coefficient of the first derivative in the differential equation, the damping ratio is 1, which means that the system is critically damped, and therefore not damped or oscillatory.

The system returns to equilibrium when y(t) = 0, which occurs when

cos(t/2) + (10i - 6)sin(t/2) = 0.

This equation has roots at t = 2πk, where k is an integer.

The turning points of the solution occur when y'(t) = 0.

Using the expression for y(t) above, we can find that

y'(t) = -e^(-t/2) (sin(t/2) + 5cos(t/2) - 3),

which has roots at t = 2πk + π/2, where k is an integer. The first turning point occurs when k = 0, so t = π/2.

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\( \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9\)

Answer:

9

Hope you could get an idea from here.

Doubt clarification - use comment section.

The graph of g(x) is the graph of f(x) stretched vertically and reflected over the axis.

The correct option is C.

We can compare the graphs of two functions f(x)=x² and g(x)=-2/3 x² by determining their vertices, domain, range, axis of symmetry, and shape of the graphs. The vertex of f(x)=x² is at the origin (0,0), which means that the parabola opens upward and is symmetrical around the y-axis.

The domain is all real numbers, and the range is y≥0. The axis of symmetry is the y-axis. On the other hand, the vertex of g(x)=-2/3 x² is also at the origin, and it opens downward. It is also symmetrical around the y-axis. The domain is all real numbers, and the range is y≤0.

The axis of symmetry is the y-axis, just like f(x).It is important to remember that g(x) is the negative of f(x), which indicates that g(x) is reflected across the x-axis. Furthermore, the stretch factor is 2/3, which makes the graph of g(x) flatter than the graph of f(x) and it is  stretched vertically and reflects over x axis(option c).

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All correct proportions include the following:

A. \(\frac{AC}{CE} =\frac{BD}{DF}\)

D. \(\frac{CE}{DF} =\frac{AE}{BF}\)

In Mathematics and Geometry, two geometric figures are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.

Hence, the lengths of the pairs of corresponding sides or corresponding side lengths are proportional to one another when two (2) geometric figures are similar.

Since line segment AB is parallel to line segment CD and parallel to line segment EF, we can logically deduce that they are congruent because they can undergo rigid motions. Therefore, we have the following proportional side lengths;

\(\frac{AC}{CE} =\frac{BD}{DF}\)

\(\frac{CE}{DF} =\frac{AE}{BF}\)

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Answer:

k = 7

Step-by-step explanation:

To solve this, first, you need to find the slope of the line. To do this, you can convert it into point-slope form.

3y = -2x + 5

y = - 2/3x + 5/3

The slope is -2/3, so the perpendicular slope in 3/2

You find the difference between the x - values (2 - -2 = 4), then multiply that by the slope (4 x 3/2 = 6) finally, you add that to the y value of point one.

1 + 6 = 7

Answer:

Step-by-step explanation:

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Wet through because in the definition it says throughly

The graph of the given problem is shown below.

A line's equation is an algebraic way of expressing the collection of points that make up a line in a coordinate system.

The many points that collectively make up a line on the coordinate axis are represented as a group of variables (x, y) to create an algebraic equation, also known as an equation of a line.

Given that,

Distance travelled by airplane from Chicago to Los Angeles in 2 minutes = 15 miles.

In return,

The airplane covers distance in 3 minutes = 25 miles.

The formula for equation of line between two points (x₁, y₁) and (x₂, y₂) is,

(y - y₁) = {(y₂ - y₁)/(x₂ - x₁)} (x - x₁)

The linear equation for the given distance and time can be written as,

y - 15 = {(25 - 15)/(3 - 2)}(x-2)

y - 15 = 10 (x - 2)

y - 15 = 10x - 20

10x - y - 5 = 0

The graph for the equation 10x - y - 5 = 0 is shown below.

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Answer:

t = 3 hours, therefore it cannot be 4 hours

Step-by-step explanation:

Divide the miles traveled by the rate you traveled. This will find the time it took to travel.

180/60 = 3

You drove 3 hours to travel 180 miles, therefore t cannot equal 4.

Answer:

(1,3)

Step-by-step explanation:

Rotating clockwise means that you're rotating by a negative angle measure. The rule for rotating -90 degrees is (x,y)->(y,-x). X is (-3,1) so X' should be (1,3) since you negate -3 to get 3 and switch the x and y coordinates.

Answer:

(1,3)

Step-by-step explanation:

e d g e n u i t y :))

The appropriate degrees of freedom for this test is option (D) 99

Since we are conducting a one-sample t-test, the degrees of freedom are given by n-1, where n is the sample size. In this case, n=100, so the degrees of freedom are 100-1 = 99.

We use a t-test because the population standard deviation is unknown, and we are using the sample standard deviation as an estimate. The test is one-tailed, with the alternative hypothesis indicating that the population mean is less than 120 bpm.

To determine whether we can reject the null hypothesis, we need to calculate the t-statistic and compare it to the critical value from the t-distribution with 99 degrees of freedom and a significance level of α = 0.05 (assuming a two-tailed test).

The t-statistic is calculated as

t = (X - μ) / (s / √n)

where X is the sample mean (107 bpm), μ is the hypothesized population mean (120 bpm), s is the sample standard deviation (45 bpm), and n is the sample size (100).

Substituting the values, we get

t = (107 - 120) / (45 / √100) = -2.89

The critical value from the t-distribution with 99 degrees of freedom and a one-tailed test at α = 0.05 is -1.66.

Since our t-statistic (-2.89) is less than the critical value (-1.66), we can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population mean is less than 120 bpm.

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Answer:

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

Step-by-step explanation:

A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees

Area of a triangle = 1/2 x base x height

If area is 18ft², then the dimensions of base x height = 18 x 2 = 36

all the possible positive integers that could represent its base and height can be determined be known by determining the factors of 36

factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36

Possible dimensions of base and heights are :

1ft x 36ft

2ft x 18ft

3ft x 12ft

4ft x 9ft

6ft x 6ft

Answer:

maybe 65 degrees

sorry if its wrong

Answer:

45 degrees

Step-by-step explanation:

All three angles equal 180

Its a right triangle, C=90

Two angle, 90 degrees left, and they're equivalent so divide by 2

B=45, A=45

\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)

The measure of the missing side length z in the right triangle is approximately 24.2.

The figure in the image is a right triangle.

Angle θ = 27 degrees

Opposite to angle θ = 11

Hypotenuse = z

To solve for the missing side length z, we use the trigonometric ratio.

Note that: SOHCAHTOA → sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the given values:

sin( 27 ) = 11 / z

Cross multiply

sin( 27 ) × z = 11

Divide both sides by sin( 27 )

z = 11 / sin( 27 )

z = 24.2

Therefore, the value of z is approximately 24.2.

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The rate of change of the function is -2.

The slope of a line indicates the direction and the steepness of the line. The formula for the slope of a line passing through the points (x₁,y₁) and (x₂, y₂) is m = (y₂-y₁)/(x₂-x₁).

Given that, the line passes through the points (3,-1) and (0,5).

The rate of change of the function is nothing but the slope of the line.

The slope of the line is given by:
m = (5 - (-1))/(0-3)

m = -6/3

m = -2

Hence, the rate of change of the function is -2.

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Answer:

Yes, they are equal

Step-by-step explanation:

To see if a ratio is equal, multiply the first numbers of each ratio to the second numbers. If they equal the same, they are equivalent.

In this case, 10*4 = 40

20*2 = 40

The answer is 23v

steps-

remove the parentheses

2x7v+9v

multiply the number

2x7=14+19v

add them

14v+19v=23v

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

Answer:

Step-by-step explanation:

Answer:

where's the data

Step-by-step explanation:

The correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

The given scenario states that there is a joint probability mass function (pmf) Px,y(x,y) with marginal probabilities Px(u) = Py(u) for all u. However, it also states that the probability of Y being greater than X, P(Y > X), is greater than or equal to 0.9.

This situation seems contradictory at first, as the marginals are equal but the probability of Y being greater than X is significantly high. However, it is important to note that the joint pmf Px,y(x,y) accounts for the correlation between X and Y, not just their marginals.

The correlation between X and Y allows for the possibility that Y may be greater than X with a high probability, even though the marginals are equal. This indicates a dependence between the two random variables.

To illustrate this, let's consider an example where X and Y represent the heights of two groups of individuals. The equal marginals Px(u) = Py(u) imply that the heights in each group have the same distribution. However, the high probability of Y being greater than X (P(Y > X) ≥ 0.9) suggests that, on average, the individuals in one group tend to be taller than those in the other group.

Therefore, the correlation between X and Y, captured by the joint pmf Px,y(x,y), allows for this difference in heights and explains the seemingly contradictory result.

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Answer:

The answer is 15.4

Step-by-step explanation:

hope this helps

1.3 + 12 =13.3+2.1=15.4

Answer:

51

Step-by-step explanation:

The equation that must be true if A and B are independent is P(B | A) = P(B)

Two events A and B are regarded as independent in probability theory if the occurrence or non-occurrence of one event has no impact on the likelihood that the other event will occur.

The likelihood of both events A and B occurring simultaneously is equal to the product of their individual probabilities, according to the equation. This equation is valid for unrelated occurrences.

The assumption made by the equation that the occurrences are truly independent and that there is no correlation or interaction between them; must be understood. This equation would not apply if the events were interdependent, and other analysis or computations may be required to establish the joint probability of the events.

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Answer:

4

Step-by-step explanation:

Func 2 is -2

Func 3 is 1

Func 4 is 8

Func 1 is unknown