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Answer:

Step-by-step explanation:

Answer:

0884

Step-by-step explanation:

The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)

To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.

Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).

The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.

Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:

sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.

Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.

Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:

\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)

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Answer:

perimeter: 2

Step-by-step explanation:

8x-3 = 6x

8x – 6x = 3

2x = 3

x = 3/2

The required algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
The difference between the perimeter of Tamara's suitcase and Anna's suitcase can be found by subtracting the expression for the perimeter of Anna's suitcase from the expression for the perimeter of Tamara's suitcase:

(8x - 3) - (3x + 2)

Simplifying the expression by removing the parentheses and combining like terms, we get:

8x - 3 - 3x - 2

= 5x - 5

Therefore, the algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.

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Answer:

☑ The area of the circle depends on the square of the radius.

☑ The area of circle D is 324π cm²

Step-by-step explanation:

\({Area = πr^2}\)

Answer:

A and C

Step-by-step explanation:

I got them right on edge 2023

good luck

Answer:

Factorize, then divide the common factors.

Step-by-step explanation:

A rational expression is one that involves the division of two polynomials. The two polynomial having the same variable in each expression.

To simplify a rational expression, the first thing to do is to factorize each expression. This would ensure that there exist a common factor between the numerator and denominator.

Then you can divide by the common factor.

The remaining expressions in the quotient would have been reduced to their simplest form.

Answer:from top to bottom it’s

-4,-x^2,x^2,4

Step-by-step explanation:

Hope this helps :)

The numbered spot at which all the runners will be next to one another is spot 19.

Least Common Multiple is the meaning of the acronym LCM. The lowest number that may be divided by both numbers is known as the least common multiple (LCM) of two numbers. It may also be computed using two or more real numbers.

Starting with the runner on the outside track, the provided parameters are;

The runner covered n₁ = 5 places on the outside track, which is the number of spaces.

Next, the inner runner will traverse n₂ spaces, which equals one space.

The following inner runner will cover n₃ = 3 spaces.

The subsequent runner will traverse n₄ = 2 spaces.

The Lowest Common Multiple, or LCM, of all the runners' speeds or the total number of spaces they cover in the same amount of time, determines where all the runners will be placed next to one another.

LCM(5, 1, 3, 2) = 30 is the LCM of 5, 1, 3, and 2.

Time = 30/ = 6

Consequently, when the first runner has covered 30 places, we have;

Six time units have been expended.

The runner comes to a stop at position 30- (30 -19) = Position 19.

First runner's new destination is Spot 19.

The distance covered simultaneously by runner 2 is 6 x 1 = 6.

The distance covered by two runners running simultaneously equals six spaces.

Second runner's new position: 6 spaces plus spot 13 equals spot 19.

The combined distance covered by the three runners is 6 x 3 = 18.

The distance runner 3 covers 18 spaces simultaneously.

Third runner's new position: 18 spaces + Spot 1 = 19 spaces

Runner 4 covers a distance of 6 x 2 = 12 at the same time.

Distance runner 4 journeys equals 12 spaces

Runner 4's new position is now 12 spaces Plus Spot 7 = Spot 19.

Therefore, all the runners will be next to one another is spot 19.

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Answer:

The midpoint is (2,0)

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates of the endpoint and divide by 2

(5+-1)/2 =4/2 =2

To find the y coordinate of the midpoint, add the y coordinates of the endpoint and divide by 2

(6+-6)/2 =0/2 =0

The midpoint is (2,0)

Answer:

If f(-5) = 7, then the point P(-5, 7) will be on the graph of f

where -5 is the x-coordinate and 7 is the y-coordinate

Step-by-step explanation:

Step-by-step explanation:

\(y = 4 {(x - 6)}^{2} + 3\)

\(y = a {(x - h)}^{2} + k\)

where a-term determines how wide/narrow/upward or downward of the graph.

h-term determines the changes of graph for x-axis

k-term determines the changes of graph for y-axis.

The vertex of parabola is at (h,k).

\(y = 4 {(x - ( + 6)})^{2} + ( + 3)\)

Therefore, h = 6 and k = 3.

\( \large \boxed{(6,3)}\)

₋2.3 < ₋8/3 is the correct answer.

Given, we need to compare the terms.

₋8/3 = ₋2.67

therefore, 2.3 is less than 2.667

hence we form it as ₋2.3 < ₋2.67

we form: ₋2.3 < ₋8/3

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Answer: The x intercept is 10   or (10,0)

Step-by-step explanation:

4x - 5y = 40   The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.

4x-5(0) = 40

4x + 0  = 40

  4x = 40    

 x=  10

The x intercept is 10   or (10,0)

Answer:

b < 3

Step-by-step explanation:

3 ( b - 5 ) < - 2b

3 ( b ) - 3 ( 5 ) < - 2b

3b - 15 < - 2b

3b + 2b < 15

5b < 15

b < 15/5

b < 3

Answer:

32kg

Step-by-step explanation:

0.08 x 400 = 32

hope this helped!

Answer:

Step-by-step explanation:

1 sunglass weighs 0.08 grams

400 sunglasses weight x

x = 400 * 08

x = 32 kg

The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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The sum of the geometric sequence in this problem is given as follows:

5.77.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number, which is called the common ratio q.

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

$7897.5

Step-by-step explanation:

..............

Answer:

All you have to do is add 11 four times and then add 18 four times. Then once you have added them up, you add those two numbers and that is how you get your answer.

Step-by-step explanation:

11+11+11+11= 44

18+18+18+18=72

44+72=116

116 is the answer

Answer:

2d+44

Step-by-step explanation:

Multiply all numbers without variables:

11x4=44

Add equations:

2d+44

Hence, the correct answer is 2d+44

Answer:

2d+44

Step-by-step explanation:

Multiply:

11x4=44

Final Equation:

2d+44

Step-by-step explanation:

the center of the circle is the midpoint of the diameter.

and the radius is the distance of the midpoint to either endpoint (or simply half of the distance between the diameter endpoints).

the midpoint between points A and B

(xm, ym) = ((xa + xb)/2, (ya + yb)/2)

in our case the midpoint (center of the circle) is

((-6 + 2)/2, (10 + 3)/2) = (-4/2, 13/2) = (-2, 6.5)

about the radius

diameter² = (-6 - 2)² + (10 - 3)² = (-8)² + 7² = 64 + 49 =

= 113

diameter = sqrt(113) = 10.63014581...

radius = diameter / 2 = 5.315072906... ≈ 5.315

Answer:

A and E

Step-by-step explanation:

Answer:

3,969

Step-by-step explanation:

i think it might be

ANSWER

n' (2, 3)

EXPLANATION

We have the point n (-2, -3) and we need to rotate it 180 degrees clockwise about the origin.

A 180 degree clockwise rotation about the origin takes changes point A(x, y) as follows:

A(x, y) => A'(-x, -y)

This means that point n becomes:

n(-2, -3) => n'(-(-2), -(-3))

=> n' (2, 3)

Those are the coordinates of n'.

Answer:

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Step-by-step explanation:

The null hypothesis is:

\(H_{0} = 28\)

The alternate hypotesis is:

\(H_{1} < 28\)

The test statistic is:

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(\sigma\) is the standard deviation and n is the size of the sample.

A recent survey of 50 executives who were laid off during a recent recession revealed it took a mean of 26 weeks for them to find another position.

This means that \(n = 50, X = 26\)

Assume the population standard deviation is 6.2 weeks.

This means that \(\sigma = 6.2\)

Does the data provide sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

We have to find the pvalue of Z, looking at the z-table, when \(\mu = 28\). It if is lower than 0.05, it provides evidence.

\(z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}\)

\(z = \frac{26 - 28}{\frac{6.2}{\sqrt{50}}}\)

\(z = -2.28\)

\(z = -2.28\) has a pvalue of 0.0113 < 0.05.

The pvalue of 0.0113 < 0.05 means that there is sufficient evidence to conclude that the mean time to find another position is less than 28 weeks at the 5% level of significance

Answer:

X=6.195

Attached please find equation.

Step-by-step explanation:

Let 1+i∗=(1+i)4 so that the calculation using annuity

Answer:

the y-intercept is (0, 1/3)

Step-by-step explanation:

beat me up if it's wrong !

From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.

The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.

The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).

Given the following division, f(x)/ x + 2

We can rewrite the binomial in this form:

x + 2 = x - (-2)

The division then becomes:

f(x)/ x - (-2)

From the remainder theorem, the remainder will be -2.

Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2

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