Suppose f"(x) = -9 sin(3x) and f'(0) = -4, and f(0) = -2
Find f(pi/4)

9514 1404 393

Answer:

  D) x = 2π∕3 and x = –2π∕3

Step-by-step explanation:

The tangent function has asymptotes at ±π/2, so the corresponding values of x are ...

  (3/4)x = ±π/2

  x = (±π/2)(4/3) = ±2π/3 . . . . matches choice D

Answer:

I think 40 - 60 Million Americans would wear contact lenses.

Answer:

0.0016 = 0.16% probability that the lot will pass inspection.

Step-by-step explanation:

For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Sample of 18 light bulbs

This means that [tex]n = 18[/tex]

30% of the bulbs in the lot are defective.

This means that [tex]p = 0.3[/tex]

What is the probability that the lot will pass inspection?

It will pass inspection if there are no defective bulbs, that is, we have to find P(X = 0). So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{18,0}.(0.3)^{0}.(0.7)^{18} = 0.0016[/tex]

0.0016 = 0.16% probability that the lot will pass inspection.

Answer:

x^16 y^8

Step-by-step explanation:

x = 8 x 2 = 16

y = 4 x 2 = 8

Answer:

x^16y^8

Step-by-step explanation:

all you gotta do is multiply the exponent on the inside and the outside

hope this helped ^^

9514 1404 393

Answer:

  (x, y) = (3.5, -4)

Step-by-step explanation:

Elimination is easiest if one of the coefficients of a variable is a multiple of the other coefficient of the variable. Here, we have x-coefficients of 4 and 8, so it will be easiest to eliminate x.

Subtract the second equation from 2 times the first.

  2(4x +7y) -(8x +5y) = 2(-14) -(8)

  9y = -36 . . . . . simplify

  y = -4 . . . . . . . divide by 9

  4x +7(-4) = -14 . . . . substitute for y in the first equation

  4x = 14 . . . . . . . add 28

  x = 3.5 . . . . divide by 4

The solution is (x, y) = (3.5, -4).

Answer:

13.37 = BC

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = opp / hyp

cos 27 = BC / 15

15 cos 27 = BC

13.36509 = BC

Rounding to the nearest hundredth

13.37 = BC

Answer:

use the area formula

Step-by-step explanation:

Answer:

rounded to the nearest tenth i think its 40

9514 1404 393

Answer:

  about 2.917%

Step-by-step explanation:

The simple interest formula can be used. Fill in the known values and solve for the unknown.

  I = Prt . . . . principal P invested at rate r for t years

  1400 = 8000(r)(6)

  r = 1400/48000 = 7/240 = 0.0291666...

Salma's interest rate was about 2.917% per year.

9514 1404 393

Answer:

  55 square units

Step-by-step explanation:

The area of a parallelogram is the product of base length and height:

  A = bh

  A = (11)(5) = 55 . . . area of the given parallelogram in square units

Answer:

loser you called me a bad word so now I'm taking points

Step-by-step explanation:

Given:

The polynomial is:

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

To find:

The simplified form of the given polynomial in standard form.

Solution:

We have,

[tex]-5x^3y^3+8x^4y^2-xy^5-2x^2y^4+8x^6+3x^2y^4-6xy^5[/tex]

Combining the like terms, we get

[tex]=-5x^3y^3+8x^4y^2+(-2x^2y^4+3x^2y^4)+8x^6+(-xy^5-6xy^5)[/tex]

[tex]=-5x^3y^3+8x^4y^2+x^2y^4+8x^6-7xy^5[/tex]

Now, rewrite this polynomial in standard form.

[tex]=8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex]

Therefore, the required polynomial in standard form is [tex]8x^6+8x^4y^2-5x^3y^3+x^2y^4-7xy^5[/tex].

Answer:

0.05, 8%, 15/100, 3/10, 0.7

Step-by-step explanation:

so they are 5%, 8%, 15%, 30%, 70%

Answer:

-5/4

Step-by-step explanation:

Given :

x : 45, 49, 53, 57

y : 10, 5, 0, - 5

The slope of the line :

Slope = Rise / Run

y2 = - 5, y1 = 10

x2 = 57, x1 = 45

Rise = y2 - y1 = - 5 - 10 = - 15

Run = x2 - x1 = 57 - 45 = 12

The slope = Rise / Run = - 15 / 12 = - 5/4

Answer:

-1

Step-by-step explanation:

i brought the answer correct

Step-by-step explanation:

you have to substitute the function g(x) where there's x in the function f(x)

gf(x)=2(x213)-4

if that's x two thirteen then you can multiply the 2 outside the brackets by it

giving you a final answer of

gf(x)=426x-4

hope it helps and sorry if am wrong

answer: 77

Step-by-step explanation:

7×11=77

sorry if I'm wrong

Answer:

fijatebie nl aperguntaa

Step-by-step explanation:

If f(x) = 7/(1 + x), then

f (2) = 7/3

f '(x) = -7/(x + 1)²   ==>   f ' (2) = -7/9

f ''(x) = 14/(x + 1)³   ==>   f '' (2) = 14/27

f '''(x) = -42/(x + 1)⁴   ==>   f ''' (2) = -14/27

Then the Taylor series of f(x) about a = 2 is

7/3 + 1/1! (-7/9) (x - 2) + 1/2! (14/27) (x - 2)² + 1/3! (-14/27) (x - 2)³

= 7/3 - 7/9 (x - 2) + 7/27 (x - 2)² - 7/81 (x - 2)³

Step-by-step explanation:

First, we can see that the angles inside the polygon form a full circle, as it goes fully around. Therefore, the sum of the angles around the center of the circle (such as m < 7) is 360 degrees. Since it is a regular polygon, and the lines are going from the center to its corners, the 6 angles directly surrounding the center are equal.

Each angle is therefore 360/6 = 60 degrees, so m<7 is 60 degrees.

For m<8, we can see that a line bisects one of the 6 angles surrounding the center. Therefore, m<8 is 1/2 of the angle it bisects, which is equal to 360/6 = 60 degrees, and m<8 = 60/2 = 30 degrees

Finally, we can see that there are 6 sides of the polygon. For a polygon with n number of sides, the sum of its interior angles is equal to (n-2) * 180. Here, there are 6 sides, so the sum of this polygon's interior angles is (6-2) * 180 = 4 * 180 = 720. Because this is a regular polygon, each interior angle is the same, and because there are 6 of them, each one is 720/6 = 120 degrees. As shown in the picture, m < 9 is seemingly one-half of an interior angle, as it is bisected by a line from the center to a corner.

Therefore, m <9  = 120 /2 = 60 degrees

Answer:

B. causal relationships between two variables

Scatterplots show causal relationships between two variables. Option B is correct.

A scatter plot is a collection of points plotted on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the extent, if any, of correlation between the values of observed quantities or phenomena (called variables).

Here,

Given that, to justify Scatterplots,
Plotting a scattergram using the data points can assist in determining whether they have a probable relationship.

Thus, Scatterplots show causal relationships between two variables. Option B is correct.

Learn more about scatter plots here:
https://brainly.com/question/29231735
#SPJ2

Answer:

x² - √3x / x² - 3

Step-by-step explanation:

To Do :-

Solution :-

We need to rationalize ,

Multiply numerator and denominator by x-√3 :-

Answer:

<d = 90

<e = 46  

<f = 134

Step-by-step explanation:

<d = 90 since it forms a straight line with a 90 degree angle

<e = 46  since they are vertical angles and vertical angles are equal

<f = 134  since it is a linear pair with 46 ( they add to 180)  f+46 = 180

              f = 180-46    f =

[tex]{\footnotesize{\bold{\textbf{\textsf{{\fcolorbox{brown}{gold}{~Brainliest~answer}}}}}}}[/tex]

See this attachment

Answer:

$304,853

Step-by-step explanation:

Given:

I - 8

N - 10

PMT - 35,000

FV - 0

solution :

We use the Budget method to estimate the amount of insurance needed

PV of annual expenses

=PV(8%,10,-33100) considering Rate=8%, N=10

 PV - ? = $337,501.61

Amount of Insurance to Purchase = $234,853 + $40,000 + $30,000 = $304,853

Answer:

A= 80

Step-by-step explanation:

I'm not good at explaining my work. I sometimes can look at the problem and find the answer in 2 seconds.

Answer:

Assuming you meant three jacks:

1 in 5525 or else 1/5525.

Step-by-step explanation:

You start with a full deck of 52 and 4 jacks. After each draw, you reduce both the jacks and total deck by one. Your first draw would be 4/52. The next would be 3/51. The final draw would be 2/50. You multiply each fraction together as you need all of them to happen, and that is your odds of drawing 3 jacks in a row without replacement.