write the first four nonzero terms of the mclaurin series for f', the derivative of f. express f' as a rational function for |x| < r

Answer:

What is the question?

Step-by-step explanation:

Answer: true

Step-by-step explanation: The number of people would be 45

Answer:

d) centimeters

cat average height is 23-25 cm

if you would write it in meters it would be 0.23-0.25 m

in mm 230-250mm

Its just the most convinient

The measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.

The angle is the separation of the crossing surfaces or lines. Additionally, the angle is specified in degrees. One whole spin has an arc of 360 degrees.

If the total of two angles is 180 degrees, they are said to be supplementary angles.

In the third line, if two lines are parallel. Equal angles are formed by matching angles.

When two lines intersect, then their opposite angles are equal.

The measure of angle ∠1 is 40°.

Angle ∠1 and angle ∠2 are supplementary angles. Then the measure of angle ∠2 will be

∠1 + ∠2 = 180°

40° + ∠2 = 180°

∠2 = 140°

The vertical angles are given below.

∠1 = ∠3 = 40°

∠2 = ∠4 = 140°

The corresponding angles are given below.

∠1 = ∠5 = 40°

∠2 = ∠6 = 140°

∠3 = ∠7 = 40°

∠4 = ∠8 = 140°

Then the measure of angles ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, and ∠8 will be 40°, 140°, 40°, 140°, 40°, 140°, 40°, and 140°, respectively.

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The conclusion of conjuncture that robyn will be 6 ft , 2 in. tall when she has completed 22 years age is not valid. So, option(b) is right one.

We have some statement or conjectures. We have to determine the final or produced conjecture is valid or not. According to statement, In fast five years,

The growth rate of Robyn's height = 2 in. per year

But for next five years the growth rate may or may not be remain same, i.e, 2 in. every year. Now, Age of Robyn = 15 years and Height of Robyn = 5 feet, 4 in. = 64 inches ( from conversion factor, 1 ft = 16 inches)

The final statement is that she will be 6 ft , 2 in. that is 74 inches tall when she's 22 years old. After 7 years from now, the increase in her height = 2 × 7 = 14 inches

and new height = 64 inches + 14 inches

= 78 in. = 6 feet, 6 inch.

So, this is not valid conjecture.

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Complete question

determine if the following conjecture is valid. given: for the past five years, robyn has grown 2 in . every year. she is now 15 years old and is 5 ft , 4 in . tall. conclusion: robyn will be 6 ft , 2 in . tall when she's 22 years old.

a) valid

b) not valid

c) valid only if she is male

Answer:

The correct answers for the possible locations for the are;

(-9, 1)

(0, 0)

Step-by-step explanation:

The coordinates of two of the three posts are given in feet as (-5, 4) and (2, 6)

The length of the available fencing = 25 feet

The length, l, of the segment between the coordinates of the two old posts vertices of the fence is given by the following equation;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

Where;

(x₁, y₁) = (-5, 4)

(x₂, y₂) = (2, 6)

\(l = \sqrt{\left (6-4 \right )^{2}+\left (2-(-5) \right )^{2}} = \sqrt{53} \approx 7.25 \ feet\)

Given the coordinates of the third point as (x₃, y₃), we have;

Therefore, we have;

\(\sqrt{\left (y_{3}-4 \right )^{2}+\left (x_{3}-(-5) \right )^{2}} + \sqrt{\left (y_{3}-6 \right )^{2}+\left (x_{3}-(2) \right )^{2}} = 25 - \sqrt{53}\)

For the point (2, 6), we have;

\(\sqrt{\left ((-6)-4 \right )^{2}+\left (2-(-5) \right )^{2}} + \sqrt{\left ((-6)-6 \right )^{2}+\left (2-(2) \right )^{2}} = 24.2 > 25-\sqrt{53}\)

For the point (-9, 1), we have;

\(\sqrt{\left ((-6)-4 \right )^{2}+\left (2-(-5) \right )^{2}} + \sqrt{\left ((-6)-6 \right )^{2}+\left (2-(2) \right )^{2}} = 17.08 < 25-\sqrt{53}\)

For the point (0, 0), we have;

\(\sqrt{\left ((0)-4 \right )^{2}+\left (0-(-5) \right )^{2}} + \sqrt{\left ((0)-6 \right )^{2}+\left (0-(2) \right )^{2}} = 12.73 < 25-\sqrt{53}\)

For the point (8, 8), we have;

\(\sqrt{\left ((8)-4 \right )^{2}+\left (8-(-5) \right )^{2}} + \sqrt{\left ((8)-6 \right )^{2}+\left (8-(2) \right )^{2}} = 19.92 > 25-\sqrt{53}\)

For the point (-4, -5), we have;

\(\sqrt{\left ((-5)-4 \right )^{2}+\left ((-4)-(-5) \right )^{2}} + \sqrt{\left ((-5)-6 \right )^{2}+\left ((-4)-(2) \right )^{2}} = 22.04 > 25-\sqrt{53}\)

Therefore, the correct answers for the possible locations for the are (-9, 1) and (0, 0).

Answer:

\(-2(x+5) = -2x -10\)

Step-by-step explanation:

Hi there,

For us to answer the question we have to check if whether the end product on the both LHS and RHS are equal or not , so lets take each equation is whether both the sides are similar or not :

First eq :-

\(-2(x-5) = -2x + 5\\giving\\-2x+10\neq -2x+5\)

Since it is not equal it is incorrect.

Second eq:-

\(-2(x+5) = -2x-5\\giving\\-2x-10\neq -2x-5\)

Since it is not equal it is incorrect.

Third eq:-

\(-2(x+5) = -2x -10\\giving\\-2x-10=-2x-10\\\)

Now we got the equation that equals both in LHS and RHS.

So our Answer is

\(-2(x+5) = -2x -10\)

Hope this helped you out if so do mark me as the brainliest,

a fellow mate,

cheers!

Answer:

Step-by-step explanation:

This is the image of the graph you determine if that's perpendicular.

Perpendicular definition - In elementary geometry, the property of being perpendicular is the relationship between two lines which meet at a right angle. The property extends to other related geometric objects. A line is said to be perpendicular to another line if the two lines intersect at a right angle.

With 180° < θ < 270°, we know that both cos(θ) < 0 and sin(θ) < 0.

Then from the Pythagorean identity, it follows that

sin²(θ) + cos²(θ) = 1   ==>   sin(θ) = -√(1 - cos²(θ))

and so

sin(θ) = -√(1 - (-8/13)²) = -√105/13

Recall the double angle identity for sine:

sin(2θ) = 2 sin(θ) cos(θ) = 2 (-√105/13) (-8/13) = 16√105/169

Answer:

Hey! Your answer is, 9/4

Step-by-step explanation:

Hope this hepls! :)

Have a nice day!♥

Brainliest?

Answer:

Exact Form:

91/20

Decimal Form:

4.55

Mixed Number Form:

4 11/20

Step-by-step explanation:

Answer:

not 100 percent sure apologies.

Step-by-step explanation:

Answer:

y =0.5x

Step-by-step explanation:

Answer:

12 : 20 : 25

Step-by-step explanation:

Express the ratios in terms of a

\(\frac{a}{b}\) = \(\frac{3}{5}\) ( cross- multiply )

3b = 5a ( divide both sides by 3 )

b = \(\frac{5}{3}\) a

\(\frac{b}{c}\) = \(\frac{4}{5}\) ( cross- multiply )

4c = 5b ( divide both sides by 4 )

c = \(\frac{5}{4}\) b = \(\frac{5}{4}\) × \(\frac{5}{3}\) a = \(\frac{25}{12}\) a

Then

a : b : c

= a : \(\frac{5}{3}\) a : \(\frac{25}{12}\) a ( multiply each part by 12 to clear the fractions )

= 12a : 20a : 25a ( divide each part by a )

= 12 : 20 : 25

Problem N 6

we have the roots

3 and (4+i)

By the conjugate complex theorem

If (4+i) is a root

then

(4-i) is a root too

so

we have at least

Zeros

The polynomial function is given by

(x-3)(x-(4+i))(x-(4-i))

Multiply first

(x-(4+i))(x-(4-i))

x^2+(4+i)(4-i)-x(4-i)-x(4+i)

x^2+16-i^2-4x+xi-4x-xi

x^2+16-(-1)-8x

x^2-8x+17

so

(x-3)(x-(4+i))(x-(4-i))=(x-3)(x^2-8x+17)

Apply distributive property again

x^3-8x^2+17x-3x^2+24x-51

therefore

Answer:

There are 801 box seats and 9612 regular seats.

explanation:

Let the number of box seats be x,

Then the regular seats is 12x

The sum of seats equals to 10,413

Solve:

12x + x ➙ 10,413

13x ➙ 10413

x ➙ 801

There are 801 box seats.

Find for regular seats:

➙ 12(x)

➙ 12(801)

➙ 9612

There are 9612 regular seats.

Answer:

7/12

Step-by-step explanation:

The expression inside the integral, we get {eq}r^3 \sqrt{r^2} = r^{\frac{7}{2}} {/eq}. Evaluating the integral, we get:{eq}\int_{0}^{2\pi} \int_{0}^{6} r^3 \sqrt{r^2} \, \mathrm{d}r \, \mathrm{d}\theta = \int_{0}^{2\pi} \left[\frac{2}{9}r^{\frac{9}{2}}\right]_{0}^{6} \, \mathrm{d}\theta = \frac{2}{9}(6^{\frac{9}{2}}-0) \int_{0}^{2\pi} \mathrm{d}\theta = \boxed{432\pi} {/eq}

To change to polar coordinates, we need to express {eq}x {/eq} and {eq}y {/eq} in terms of {eq}r {/eq} and {eq}\theta {/eq}. Using the conversion formulas, we have {eq}x = r\cos{\theta} {/eq} and {eq}y = r\sin{\theta} {/eq}. The limits of integration also change to reflect the new coordinate system. In polar coordinates, the disk {eq}x^2 + y^2\leq 36 {/eq} becomes {eq}0\leq r\leq 6 {/eq} and {eq}0\leq \theta\leq 2\pi {/eq}. Substituting these values, we get:

{eq}\iint_{D} (x^2 + y^2)^\frac{3}{2} \, \mathrm{d}x \ \mathrm{d}y = \int_{0}^{2\pi} \int_{0}^{6} r^3 \sqrt{r^2} \, \mathrm{d}r \, \mathrm{d}\theta {/eq}

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Answer:

the reason is because I need to get things prints

We can make 24 bouquets of flowers for a wedding, each with 10 roses and 7 lilies.

To determine the largest number of identical bouquets that can be made using 240 roses and 168 lilies, we need to find the greatest common factor (GCF) of these two numbers.

The prime factorization of 240 is 2^4 x 3 x 5, while the prime factorization of 168 is \(2^3 * 3 * 7\). To find the GCF, we can take the product of the common prime factors raised to the smallest exponent they appear in either number. Therefore, the GCF of 240 and 168 is \(2^3 * 3\) = 24.

This means that we can make 24 identical bouquets using 240 roses and 168 lilies. To do so, we would use 10 roses and 7 lilies in each bouquet, since 10 and 7 are the largest numbers that divide both 240 and 168 without remainder, respectively. So, we can make 24 bouquets, each with 10 roses and 7 lilies.

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Recall that we want to solve this problem

We will use the following property, given a nonzero number a and numbers b,c we have that

So if we divide two numbers that have the same base, we can simply subtract their exponents.

So, using the properties of multiplication of fractions, we get

With help of a calculator, we will calculate 3.45/2.03. By doing so, we get that

So we have

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large, the best recommendation is c. Increase the sample size.

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specific confidence level; the 95% confidence level is the most commonly used, but other levels, such as 90% or 99%, are also used.

Confidence intervals are used by statisticians to quantify uncertainty in a sample variable. A researcher, for example, may randomly select different samples from the same population and compute a confidence interval for each sample to determine how well it may represent the true value of the population variable. The resulting datasets are all unique, with some intervals containing the true population parameter and others not.

In this case, the sample size should be increased when the results are meaningless because the width of the interval is too large.

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Complete questions

After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?

a. Increase the level of confidence for the interval

b. Decrease the sample size

c. Increase the sample size

d. Reduce the population variance

Answer:

$21,000

Step-by-step explanation:

hope i helped :)

The maximum interest rate that can be charged during the fifth year is 6.75%. The correct option is the third option c. 6.75%

From the question, we are to determine the maximum interest rate that can be charged during the fifth year

A 2/1 ARM means that the interest rate is fixed for the first two years and then adjusts annually based on a specified index plus a margin. The "2/10 cap" means that the interest rate can only increase or decrease by a maximum of 2 percentage points each year, and can never be more than 10 percentage points higher than the initial rate.

Since the initial rate is 2.75%, the maximum rate that can be charged during the fifth year is:

2.75% + (2 x 2%) = 6.75%

Hence, the maximum interest rate that can be charged during the fifth year is 6.75%.

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Answer:

I would say C.)

Answer:

slope = 15

Step-by-step explanation:

the slope of the line is how much it goes up in the span of one x

when it goes to the right one it goes up 15

this means that the slope is 15

Answer:  

∠A= 60

Step-by-step explanation:  

SinA = 13/15  

SinA = 0.866  

A = inverse sin (0.866)  

A = 59.997

A = 60

The candy store will use 103 grams of sugar in 10 hours.

To find out how many grams of sugar the store will use in 10 hours, we can simply multiply the amount of sugar used in one hour (10.3 grams) by the number of hours (10).

To solve the problem, we use a simple multiplication formula: the amount used per hour (10.3 grams) multiplied by the number of hours (10) to find the total amount of sugar used in 10 hours.

We can interpret this problem using a rate equation: the rate of sugar usage is 10.3 grams/hour, and the time period is 10 hours. Multiplying the rate by the time gives the total amount of sugar used.

So the calculation would be:

10.3 grams/hour x 10 hours = 103 grams

Therefore, the candy store will use 103 grams of sugar in 10 hours.

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Answer:

9

Step-by-step explanation:

take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1

Answer:

1962/18=109.

Division sign

Step-by-step explanation:

Answer:

1962 ÷ 18

Step-by-step explanation:

i answered in the comments before the other person

oh well

dum bots taking up answers

Answer & Step-by-step explanation:

Part A: The explicit equation for f(n) that represents the number of lionfish in the bay after n years can be written as:

f(n) = 9000 * (1 + 0.69)^n

where 9000 is the initial number of lionfish, 0.69 is the growth rate, and n is the number of years.

Part B: To find the number of lionfish in the bay after 6 years, we substitute n = 6 into the explicit formula from Part A and simplify:

f(6) = 9000 * (1 + 0.69)^6 = 9000 * (1.69)^6 = 9000 * 11.34 = 102,060.5

Rounding to the nearest whole number, there will be approximately 102,061 lionfish in the bay after 6 years.

Part C: The recursive equation for f(n) can be found by subtracting 1,400 from the previous year's population and then applying the annual growth rate. Thus, we have:

f(1) = 9000 f(n) = f(n-1) - 1400 + 0.69f(n-1) = 0.69f(n-1) - 1400

where f(1) is the initial number of lionfish and n represents the number of years after the first year.