The ellipse is centered at the origin, its major axis is horizontal, with length 8; the length of its minor axis is 4;

Answer:

The answer is e. (x - 10 * y^2 * z) (x + 10 *y^2 *z)

Step-by-step explanation:

To explain it test all the options by distributing them.

Using an online website that I plugged into the calculator to factory gets answer e.

Answer:

Therefore, the angle ∠CDA is 58°.

Step-by-step explanation:

∠CDA = 58°

In the given figure, let's consider the angle ∠CDA as x.

Since AB is the diameter of the circle, we know that the angle subtended by any diameter at any point on the circumference is always 90°. Therefore, ∠CAB = 90°.

In triangle CAD, the sum of angles is 180°. So, we have:

∠CAD + ∠CDA + ∠CAB = 180°

Substituting the known values:

32° + x + 90° = 180°

Combining like terms:

x + 122° = 180°

Subtracting 122° from both sides:

x = 180° - 122°

x = 58°

Answer:

A. Statement A is true

B. Statement B is false

C.

D.

Explanation:

From the figure, we can see that for each vegetable barley soup the cook makes, the cook needs 7 quarts of broth and 2 pounds of barley.

We can determine the unit rate of the soup mix as shown below;

From our unit rate, let's go ahead and determine how many quarts of broth the cook mix with 5 pounds of barley;

Answer:

\(m ^ {3/7}\)

Step-by-step explanation:

=> \(\sqrt[7]{m^3}\)

\(\sqrt[7]{}= ^\frac{1}{7}\)

=> \(m^{3*1/7}\)

=> \(m ^ {3/7}\)

The profit function is P(x) = -500.523x^2 + 600x - 200.

To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).

Given:

Cost function: C(a) = 500x^2 + 300

Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300

Profit function, P(x), is obtained by subtracting the cost function from the revenue function:

P(x) = R(x) - C(a)

P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)

Simplifying the expression:

P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300

P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300

P(x) = -500x^2 - 0.523x^2 + 600x - 200

Combining like terms:

P(x) = (-500 - 0.523)x^2 + 600x - 200

Simplifying further:

P(x) = -500.523x^2 + 600x - 200

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Answer:

13 + 8 + 13 + (1/2)(8π) = 34 + 4π feet

= 46.57 feet

The equation of the function passing through the given point is

y = -8x -1

The equation of a line in point-slope form is expressed as:

\(y-y_0=m(x-x_0)\)

m is the slope

\((x_0,y_0)\) is the point on the line

Given the equation \(y=2x^2-4x+1\)

Get the slope by differentiating at x = -1

\(m=\frac{dy}{dx} =4x-4\\m=\frac{dy}{dx} =4(-1)-4\\m=\frac{dy}{dx} =-4-4\\m=\frac{dy}{dx} =-8\)

Substitute (-1, 7) and m = -8 into the formula above to have \(y-7=-8(x+1)\)

Simplify

\(y-7=-8x-8\\y+8x = -8+7\\y+8x=-1\\y=-8x-1\)

Hence the equation of the function passing through the given point is

y = -8x -1

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The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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Answer:

28p + 14q + 21r

Step-by-step explanation:

7(4p + 2q + 3r) ← multiply each term in the parenthesis by the 7 outside

= 28p + 14q + 21r

The 46th term of the sequence is 324.

We have,

To find the 46th term of the sequence, we need to determine the pattern or rule that generates the terms.

Since the difference between consecutive terms is a constant value of 7, we know that this is an arithmetic sequence with a common difference

of 7.

To find the 46th term, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where a(1) is the first term, d is the common difference, and n is the term number we want to find.

Using the given information, we have:

a(1) = 9

d = 7

n = 46

Plugging these values into the formula, we get:

a (46) = 9 + (46 - 1)7

a (46) = 9 + 45 (7)

a(46) = 9 + 315

a(46) = 324

Therefore,

The 46th term of the sequence is 324.

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Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

Answer:

sure I will

Step-by-step explanation:

please give brainiest

Answer:

where is your pic can you post

For the following equation, the x-intercept is (3/2, 0) and the y-intercept is (0, 6).

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

y+2=-4(x-2)

for x-intercept=(x,0)

2=-4(x-2)

2=-4x+8

4x=6

x=6/4=3/2

for y-intercept=(0,y)

y+2=-4(*-2)

y=6

The x-intercept is (3/2,0) and y-intercept is (0,6) for given equation.

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Answer:

Meter

Step-by-step explanation:

The standard unit of length based on the metric system is a meter (m). According to the length that needs to be measured, we can convert a meter into various units like millimeters (mm), centimeter (cm), and kilometer (km).

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Now, According to the question:

The order of calculate the confidence interval for the mean are as follows:

1. Select sample stat

2. select desired confidence

3. determine margin of error

4. specify upper and lower limits

Let's know:

What is Confidence Interval?

A confidence interval gives an estimated range of values which is likely to include an unknown population parameter, the estimated range being calculated from a given set of sample data.

The common notation for the parameter in question is θ. Often, this parameter is the population mean μ , which is estimated through the sample mean bar x.

The level C of a confidence interval gives the probability that the interval produced by the method employed includes the true value of the parameter θ.

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Answer:

37y +3?

Step-by-step explanation:

L×B=Area

(7y+1)(2y+3)

According to the given figure ,

Formula to find the area of a rectangle is given by -

\( \:\:\:\:\:\:\star\small \underline{ \boxed{ \sf{ \pmb{Area_{(rectangle)} = Length \times Breadth }}}}\\\)

On substituting the values-

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)}= \bigg(7y+1\bigg)\times \bigg(2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = \bigg ( 14y^2+21y+2y+3\bigg)}\\\)

\( \:\:\:\:\:\:\longrightarrow \sf { Area_{(rectangle)} = 14y^2+23y +3}\\\)

\( \:\:\:\:\:\:\longrightarrow \boxed{ \tt{ \pmb{ \red{Area_{(rectangle)}=\underline{14y^2+23y +3}}}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{Correct \:option \: is \: \frak{\purple{ C)\:\underline{14y^2+23y +3 }}. }}}}\\\)

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

Your solution is (3/2, -7/2)

Step-by-step explanation:

y = x - 5

y = -3x + 1

First, see that these two equations equal y. This means you can set them equal to each other.

x - 5 = -3x + 1

Combine like terms.

[add 3x to both sides]

4x -5 = 1

[add 5 to both sides]

4x = 6

Isolate x further by dividing both sides by 4.

x = 6/4

Simplify the fraction.

x = 3/2

Now that we know x, plug its value (3/2) back into one of the original equations to find y.

y = (3/2) - 5

Simplify by subtracting.

[convert 5 to have a denominator of 2]

y = 3/2 - 10/2

y = -7/2

Your solution is (3/2, -7/2)

Check this by plugging these values into the equation you have not yet checked.

-7/2 = -3(3/2) + 1

Simplify.

[multiply]

-7/2 = -9/2 + 1

[convert 1 to have a denominator of 2]

-7/2 = -9/2 + 2/2

[add]

-7/2 = -7/2

This equation is true; therefore your solution is correct.

Hope this helps!

Answer:

Step-by-step explanation:

The answer is no since f(-x) = f(x)

Example:

It is not one-to-one, it is two-to-one

Answer:

The fraction of the people who choose curry = \(\frac{13}{4}\)

Step-by-step explanation:

As given,

Starter              Main course

Soup                    Lasagna

Prawns                 Curry

The number of people who choose soup: the number of people who choose prawns = 2 : 3

Of those who chose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

Let total number of people goes to restaurant = 5x

People who choose soup = \(\frac{2}{5}\)×5x = 2x

People who choose prawns = \(\frac{3}{5}\)×5x = 3x

Now, given,

Of those who choose soup,

The number of people who choose Lasagna : the number of people who chose curry = 5 : 3

So,

People who choose Lasagna after choosing soup = \(\frac{5}{8}\)×2x = \(\frac{5}{4}x\)

People who choose Curry after choosing soup = \(\frac{3}{8}\)×2x = \(\frac{3}{4}x\)

Also, given,

Of those who chose prawns,

The number of people who chose Lasagna : the number of people who chose curry = 1 : 5

So,

People who choose Lasagna after choosing prawns = \(\frac{1}{6}\)×3x = \(\frac{1}{2}x\)

People who choose Curry after choosing prawns = \(\frac{5}{6}\)×3x = \(\frac{5}{2}x\)

So,

Total number of people who choose curry = \(\frac{3}{4}x\) + \(\frac{5}{2}x\) = \(x ( \frac{3}{4} + \frac{5}{2} ) = x (\frac{3 + 10}{4} ) = x ( \frac{13}{4} ) = \frac{13}{4}x\)

So ,

The fraction of the people who choose curry = \(\frac{Total number of people who choose curry}{Total number of people who go to restaurant} = \frac{\frac{13}{4} x}{x} = \frac{13}{4}\)

Answer:

The answer is 692

Step-by-step explanation:

a₁₇ = 72, a₅₁ = 208

aₙ = a + (n-1)d

a₁₇ =a + 16d = 72→ 1

a₅₁ = a + 50d = 208 →2

2-1

34d = 136

d= 4

a₁₇ = a + 16d = 72

72 = a + 64

a = 8

a₁₇₂ = a + (172-1)4

a₁₇₂ = 692

2.2

Question:

Brody bought 17 chicken wings for $37.40. What's the unit cost of one wing?

Solution given:

17 chicken wings = $37.40

1chicken wings =$37.40/17*1=$2.2

2.2

Answer:

Step-by-step explanation:

i think its 273.37

Using z-scores, it is found that the unusual values are those that are less than 124.

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

The z-score of a measure X in a data-set with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

\(Z = \frac{X - \mu}{\sigma}\)

\(-2 = \frac{X - 150}{13}\)

\(X - 150 = -2(13)\)

\(X = 124\)

Unusual values are those that are less than 124.

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Answer: bottom right

Answer:

d = 3  meters

Step-by-step explanation:

d = rt where d is the distance t is the time and r is the constant of proportionality

d = 18t

Changing 10 minutes to hours

10 minutes * 1 hours / 60 minute = 1/6 hour

d = 18 * 1/6 hour

d = 3  meters

Answer:

The ball was thrown from a height of \(3\; {\rm ft}\).

Step-by-step explanation:

The expression for the height of this ball, \(h(t) = -16\, t^{2} + 40\, t + 3\), represents a parabola (with respect to time \(t\).)

In this expression, "\(3\)" represents the \(y\)-intercept of the parabola- the output of the parabola when the input is \(t = 0\). The reason is that when \(t = 0\!\), terms of this parabola that include \(t\) (\((-16\, t^{2})\) and \(40\, t\)) would evaluate to \(0\):

\(\begin{aligned}h(0) &= -16\times 0^{2} + 40\times 0 + 3 = 3\end{aligned}\).

In the case of this ball, the term "\(3\)" means that height of this ball is \(3\; {\rm ft}\) when \(t = 0\) (right when the ball was thrown.) Thus, the ball was thrown from a height of \(3\; {\rm ft}\).