For the function f(x)=x 6 −6x 4 +9, find all critical numbers? What does the second derivative say about each?

Answer:

It increased by 150%

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: 52.5

Step-by-step explanation: We can divide 50 by 20 to find what the number is. In this problem, the number is 2.5. Since we know this, we can multiply 2.5 and 21 to get 52.5.

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Answer:

21st term = 52.5

Step-by-step explanation:

Given that,

→ 20th term of a sequence is 50.

The common difference is,

→ 50 ÷ 20

→ 50/20

→ 2.5

Now the 21st term will be,

→ n × 2.5

→ 21 × 2.5

→ 52.5

Hence, the answer is 52.5.

Answer:

1. measure of angle E is 90 degrees

2. Measure of angle F + measure of angle G is 90 degrees

Step-by-step explanation:

Angle E is 90 degrees because it is marked as a right angle (the square)

A triangle has 180 degrees so if E is 90 degrees then the other 2 also have to equal 90 degrees

The value of x² values that separate the middle 80 % from the rest of the distribution is

With alpha  and  degrees of freedom χ²= 12.443

And with alpha  and  degrees of freedom χ²= 28.412

Chi - Square Distribution:

The chi square distribution is the continuous distribution, where the degree of freedom is the sample size minus 1, and it is the parameter of the chi-square probability distribution.

Given,

Here we need to find the value of x² values that separate the middle 80 % from the rest of the distribution for 20 degrees of freedom.

Based on the given details,

Degrees of freedom = 20

Middle separate value = 80%

Which is equal to 0.8 in decimal point.

The significance level

=> ∝ = 1 - 0.8

=> ∝  = 0.2

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing

=> 0.2/2= 0.1

So we will have two values for chi square

One with  

=> 0.8 + 0.1 = 0.9 alpha

and

one with

=> 0.1 alpha .

This is because the chi square is right tailed.

Now based on the chi square distribution table,

So with alpha 0.9 and 20 degrees of freedom χ²= 12.443

And with alpha 0.1 and 20 degrees of freedom χ²= 28.412

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Answer:

I think it is 13 and increasing

Answer: -12 and decreasing.

Step-by-step explanation: The rate of change of the function represented in the table is  -12 . For the given x- and y-values, the function is  decreasing .

The probability that the number of miles driven on a full tank of gas is at most 329 miles is 0.1492 or 14.92%.To calculate the probability that the number of miles driven on a full tank of gas is at most 329 miles, we need to standardize the value using the standard normal distribution formula:

Z = (X - μ) / σ

where X is the value we are interested in (in this case, X = 329), μ is the mean (μ = 359), and σ is the standard deviation (σ = 29). Substituting these values, we get:

Z = (329 - 359) / 29 = -1.03

We can then use a standard normal distribution table or calculator to find the probability associated with a Z-score of -1.03. The probability (proportion) of getting at most 329 miles on a tank of gas is the area under the standard normal distribution curve to the left of the Z-score of -1.03. This probability is approximately 0.1492 or 14.92%. Therefore, the probability that the number of miles driven on a full tank of gas is at most 329 miles is 0.1492 or 14.92%.

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The given double integral is ∬ R 2dA over the region R = { (x,y) | 0 ≤ x ≤ 5, 0 ≤ y ≤ 3}. We can identify it as the volume of a solid.  Therefore answer is 30.

We know that the integral of a function f(x,y) over a region R in the xy-plane is given by the double integral ∬ R f(x,y)dA. If we take the function f(x,y) to be constant, say f(x,y) = k, where k is a constant, then the double integral

∬ R f(x,y)dA gives us the area of the region R. If we take the function f(x,y) to be a variable, say f(x,y) = z,

where z is the height, then the double integral ∬ R f(x,y)dA gives us the volume of the solid that lies between the region R and the plane z = 0. So, we can identify the given double integral ∬ R 2dA as the volume of a solid that lies between the region R and the plane z = 0.

Let's find the limits of integration. We know that the limits of integration for x are from 0 to 5, and the limits of integration for y are from 0 to 3. Since the function f(x,y) = 2 is constant, we don't need to integrate it. So, the double integral is simply the product of the area of the region R and the height of the solid, which is 2. Therefore, the volume of the solid is

V = ∬ R 2dA

= 2 * Area of R

= 2 * (5 * 3)

= 30 cubic units.

Hence, the answer is 30.

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Answer:

i believe it would be (iii) DTQ

Step-by-step explanation:

if im correct can i has brainliest

Answer:

DTQ is you're answer

Step-by-step explanation:

can i ave brainly i can help more

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

Answer:

y=13.15x+14

Step-by-step explanation:

That is the equation, if you need the graph lmk

Answer:

?=14+13.15x

14+13.15x=?

?=13.15x+14

13.15x+14=?

Answer:

172.5 inches cubed

Step-by-step explanation:

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1. four hundred thirty six

2. two hundred forty one

3. seven hundred eighty seven

4. six hundred fifty three

hope helpful xD

The words are four hundred and thirty six, Two hundred and forty one, Seven hundred and eighty seven and six hundred and fifty three.

Data;

To solve this problem, we have to write the given numbers in words

a)

436

This can be written as

four hundred and thirty six

b)

241

This is written as

Two hundred and forty one

c)

787

This is written as

Seven hundred and eighty seven

d)

653

This is written as

six hundred and fifty three.

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Answer:

I would need to hear it.

Step-by-step explanation:

Insert the triangle into the first quadrant. Z's y-coordinate is 0 because it is on the x-axis. Because the leg is 3b units long, its x-coordinate is 3b. Y's X-coordinate is 0 because it is on the y-axis. Because the leg is b units long, its y-coordinate is b.

The term triangular coordinates can refer to at least three related systems of coordinates in the Euclidean plane: a special case of barycentric coordinates for a triangle, also known as a ternary plot or areal coordinates, among other things.

Because this is a right triangle, two of its sides can be found on the axes. Placing the triangle's right angle at the origin will allow the two legs to be parallel to the x- and y-axis.

Insert the triangle into the first quadrant. Z's y-coordinate is 0 because it is on the x-axis. Because the leg is 3b units long, its x-coordinate is 3b. Y's X-coordinate is 0 because it is on the y-axis. Because the leg is b units long, its y-coordinate is b.

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Answer:

90/750 or 8.33 round and it would be 9 kids or 45/375

Step-by-step explanation:

12/100 to ?/750

100 to 750 would be 7.5 *100

so 12 *7.5 = 90

90/750= 8.33

or 45/375

Ratio of 12:100

12 x 7 and 100 x 7

84:700

12:100 / 2 = 6:50

90:750

Out of 750 kids, 90 make it

I'm pretty sure anyway, hope this helps!

Actually, not all of the options are correct. The statement "Most economic data can be modeled as a higher-order ARMA(p, q) model" is not entirely accurate. While it is true that many economic time series exhibit some degree of autocorrelation and can be modeled using ARMA models, not all economic data can be accurately represented by these models.

In fact, some time series may require more complex models such as state-space models, VAR models, or GARCH models to capture the underlying dynamics.

Regarding the other statements:

Spikes in the autocorrelation function do indicate autoregressive terms, as autocorrelation measures the correlation between a time series and its past values.

Spikes in the partial-autocorrelation function do indicate moving-average terms, as partial-autocorrelation measures the correlation between a time series and its past values, controlling for the effects of intermediate lags.

For an ARMA(p, q) model, the autocorrelation function should show an abrupt stop at lag p, indicating the presence of p autoregressive terms. The partial-autocorrelation function should show an abrupt stop at lag q, indicating the presence of q moving-average terms.

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Answer:

after 14 years, Yusuf would have approximately $9,645.57 more in his account than Arianys (rounded to the nearest dollar).

Step-by-step explanation:

Certainly! Let's calculate the future values for Arianys and Yusuf and find the difference between them after 14 years.

For Arianys:

Principal amount (P) = $61,000

Interest rate (r) = 7 1/8% = 7.125% = 0.07125 (in decimal form)

Time (t) = 14 years

Using the formula for continuous compounding:

A_arianys = P * e^(rt)

A_arianys = $61,000 * e^(0.07125 * 14)

Using a calculator, we find that A_arianys is approximately $151,564.27 (rounded to the nearest cent).

For Yusuf:

Principal amount (P) = $61,000

Interest rate (r) = 7 5/8% = 7.625% = 0.07625 (in decimal form)

Time (t) = 14 years

Compounding periods per year (n) = 12 (monthly compounding)

Using the formula for compound interest:

A_yusuf = P * (1 + r/n)^(nt)

A_yusuf = $61,000 * (1 + 0.07625/12)^(12 * 14)

Using a calculator, we find that A_yusuf is approximately $161,209.84 (rounded to the nearest cent).

Now, let's find the difference between A_yusuf and A_arianys:

Difference = A_yusuf - A_arianys

Difference = $161,209.84 - $151,564.27

Difference = $9,645.57 (rounded to the nearest cent)

Therefore, after 14 years, Yusuf would have approximately $9,645.57 more in his account than Arianys (rounded to the nearest dollar).

The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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All the correct fractions are,

⇒ 2 yd / 8 ft = 3 / 4

⇒ 24 in / 3 ft = 2 / 3

⇒ 4 ft / 4 yd = 1 / 3

⇒ 32 in / 2 ft = 4 / 3

A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y. Where, x and y are individual amount of two quantities. And, Total quantity gives after combine as x + y.

We have to given that;

All the fractions are,

⇒ 2 yd / 8 ft

⇒ 24 in / 3 ft

⇒ 4 ft / 4 yd

⇒ 32 in / 2 ft

Now, We know that;

⇒ 1 yard = 3 feet

⇒ 1 feet = 12 inches

So, By the fractions we get;

⇒ 2 yd / 8 ft

⇒ 6 ft / 8 ft

⇒ 6 / 8

⇒ 3 / 4

⇒ 24 in / 3 ft

⇒ 24 in / 36 in

⇒ 12 / 18

⇒ 2 / 3

⇒ 4 ft / 4 yd

⇒ 4 ft / 12 ft

⇒ 1 / 3

⇒ 32 in / 2 ft

⇒ 32 in / 24 in

⇒ 4 / 3

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Answer:

2100

Step-by-step explanation:

Answer:

-242

Just change the sign and you will get the answer

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The probability of rolling a 5 on the 1st roll and a number other than 5 on the 2nd roll when an eight-sided dice is rolled twice is 7/64.

The probability of rolling a 5 on the 1st roll and a number other than 5 on the 2nd roll when an eight-sided dice is rolled twice can be calculated by following:

The probability of rolling a 5 on the 1st roll is 1/8 since there is only one favorable outcome out of the 8 possible outcomes (numbers from 1 to 8).

The probability of rolling a number other than 5 on the 2nd roll is 7/8 since there are 7 possible outcomes that are not equal to 5 that is : numbers from 1 to 4 and 6 to 8

Since the two rolls are independent, the probability of both events occurring is the product of their probabilities. Therefore, the probability of rolling a 5 on the 1st roll and a number other than 5 on the 2nd roll when an eight-sided dice is rolled twice is: 1/8 × 7/8 = 7/64.

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2x²-9x-5

2x²-x-10x-5

(x-5)(2x+1)

Answer: 279.43

Step-by-step explanation:

The area of the tent that she will need to waterproof is 279.43 feet².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given a tent in the form of a triangular prism as given.

We have to find the surface area of the tent excluding the base.

There are 2 triangular faces and 2 rectangular faces.

Area of the prism that needs to waterproof = area of 2 rectangles + area of 2 triangles

Area of rectangles = 2 × 14 × 8 = 2 × 112 feet² = 224 feet²

Height of the triangular face = √(8² - 4²) = √48

Area of 2 triangles = 2 × 1/2 × 8 × (√48) = 8√48 feet²

Area needed to be waterproofed = 224 feet² + 8√48 feet² = 279.43 feet²

Hence the area of the tent is 279.43 feet².

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By determining the level of measurement of the variable as nominal, ordinal, interval or ratio, we get :

A. Musical instrument played: Nominal level of measurement.

B. Officer's rank in the military: Ordinal level of measurement.

C. Volume of water: Ratio level of measurement.

A. The musical instrument played by a music student: This variable is categorical and can be considered as nominal level of measurement. The different instruments played by students do not have an inherent order or numerical value associated with them.

B. An officer's rank in the military: This variable is categorical and can be considered as ordinal level of measurement. The ranks in the military have a hierarchical order, indicating the level of authority or seniority. However, the numerical difference between ranks may not be consistent or meaningful.

C. Volume of water: This variable is quantitative and can be considered as ratio level of measurement. The volume of water can be measured on a continuous scale with a meaningful zero point (no water). Ratios between different volume values are meaningful and can be compared.

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Answer:

The distance between (-3, -4) and (5, 5) is 12.

Step-by-step explanation: