Use the definition of a Taylor series to find the first four nonzero terms of the series for f(x) centered at the given value of a. (Enter your answers as a comma-separated list.) f(x)=_________

Answer:

5,800 people

Step-by-step explanation:

We can find the enrollment for next semester by multiplying:

5,780(1.0035) = 5,800.23

We can round this to 5,800 people.

Answer:

this equation has no solution

Step-by-step explanation:

================================================

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

The difference between the citys highest and lowest recorded temperatures is 60°.

Answer:

36 yd³

Step-by-step explanation:

The above solid shape given is a triangular prism.

The volume of triangular prism is given as ½ × base length of the triangle (b) × height of the triangle (h) × the length of the prism (l)

Base length of triangle (b) = 9 yd

Height of the triangle (h) = 2 yd

Length of the prism (l) = 4 yd

Volume = ½bhl

Volume = ½*9*2*4

Volume = 9*4

Volume of prism = 36 yd³

Answer:

(x+4) or (x-1)

Step-by-step explanation:

Do this by factoring out your equation. To do this, think about which two numbers multiply to be -4 but also add up to be 3 (the -4 came from multiplying the first value (the 1 that is attached to the [tex]x^{2}[/tex]) and the last value, which is -4. The 3 came from the middle term).

The two numbers you should have gotten are 4 and -1. Therefore, (x+4) and (x-1) are both of the binomials that could be your answer

Answer:

Laura tiene 15 años mientras que su madre tiene 35 años.

Step-by-step explanation:

Deje que la edad de Laura sea L.

Deje que la edad de su madre sea m.

Tiene 3/7 de la edad de su madre:

L = 3 m / 7

En 5 años, la edad de su madre será el doble de su edad:

(m + 5) = 2 (L + 5)

m + 5 = 2L + 10

m - 2L = 5

Pon el valor de L:

m - 2 (3 m / 7) = 5

m - 6 m / 7 = 5

Multiplica por 7:

7m - 6m = 35

m = 35 años

=> L = 3 * 35/7 = 15 años

Laura tiene 15 años mientras que su madre tiene 35 años.

Answer:

  (x -2) is a factor

Step-by-step explanation:

The factor theorem tells you that (x-2) is a factor of g(x) if g(2) = 0.

  g(2) = 2·2³ -5·2² +2 +2 = 16 -20 +2 +2 = 0

Since g(2) = 0, (x -2) is a factor of g(x).

__

The graph shows us the complete factorization is ...

  g(x) = (2x +1)(x -1)(x -2)

Answer:

$11,450

Step-by-step explanation:

thats the median price according to Google

Answer:

If I were to be honest I think you did it perfectly

Answer:

a = first number

b = second number

"The sum of two numbers is 20."

a + b = 20

"[The difference of two numbers] is 118."

a - b = 118

Add the two equations together:

(a + b) + (a - b) = 20 + 118

Simply and solve:

2a = 138

a = 69

Use one of the above equations to solve for the second number.

a + b = 20

a = 69

69 + b = 20

b = -49

HOPE THIS HELPS AND PLSSS PLSSS MARK AS BRAINLIEST

THNXX :)

Answer:

4x-3y

Step-by-step explanation:

Answer:

c. (√3 + √5) - i

Step-by-step explanation:

(√3+i) + (√5-2i) =  √3+i + √5-2i = (√3 + √5) + (i - 2i) = (√3 + √5) - i

Answer:

12/7

Step-by-step explanation:

y=7x

y=12 ⇒ 7x= 12 ⇒ x= 12/7

Answer:

36 = 2j + 3

This should be the correct answer to your question

PLease rate and mark brainliac if this helped

Answer:

$138

Step-by-step explanation:

Let the money with Raymond be $y

Let the cost of 1 tshirt be $x

then cost of 8 tshirt = cost of 1 t-shirt*8 = 8x

Raymond wanted to buy 8 t-shirt but he was short of $8.10

It means that 8x is equal to money he had plus $8.10

thus,

y + 8.10 = 8x

y = 8x - 8.10

Next situation

cost of 5 t-shirt = 5x

. instead he bought 5 T-shirt and had $12.60 left,

it means cost of 5 T-shirt plus $12.60 = total money Raymond had

y = 5x + 12.60

comparing y in both the equation

y = 8x - 8.10 and y = 8x - 8.10

5x + 12.60 =  8x - 8.10

=> 8x-5x = 12.60+8.10

=> 3x = 20.70

=> x = 20.70/3 = 6.9

Thus, cost of 1 T-shirt = $6.9

cost of 20 T-shirt = 20*$6.9 = $138  (Answer)

Answer:

k = -21

Step-by-step explanation:

9/ (2k-3) = 4/(k+1)

Using cross products

9 * (k+1) = 4(2k-3)

Distribute

9k+9 = 8k -12

Subtract 8k from each side

9k-8k +9 = 8k-8k-12

k+9 = -12

Subtract 9 from each side

k+9-9 = -12-9

k = -21

Answer:

[tex]\huge\boxed{k=21}[/tex]

Step-by-step explanation:

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}[/tex]

First step:

Find domain.

We know: the denominator must be different than 0.

Therefore we have:

[tex]2k-3\neq0\ \wedge\ k+1[/tex]

[tex]2k-3\neq0\qquad\text{add 3 to both sides}\\2k\neq3\qquad\text{divide both sides by 2}\\\boxed{k\neq1.5}\\\\k+1\neq0\qquad\text{subtract 1 from both sides}\\\boxed{k\neq-1}\\\\\text{Domain:}\ x\in\mathbb{R}\backslash\{-1;\ 1.5\}[/tex]

Second step:

Solve for k.

[tex]\dfrac{9}{2k-3}=\dfrac{4}{k+1}\qquad\text{cross multiply}\\\\9(k+1)=4(2k-3)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\(9)(k)+(9)(1)=(4)(2k)-(4)(3)\\\\9k+9=8k-12\qquad\text{subtract 9 from both sides}\\\\9k=8k-21\qquad\text{subtract}\ 8k\ \text{from both sides}\\\\\boxed{k=21}\in\text{Domain}[/tex]

Answer:

D. 0° to 90°

Step-by-step explanation:

If we see curve of sin(o) on coordinate,  we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.

Hence option D is correct.

Alternatively

we see that

sin 0 = 0

sin 30 = 1/2

sin 45 = 1/[tex]\sqrt{2}[/tex]

sin 60 = [tex]\sqrt{3} /2[/tex]

sin 90 = 1

Thus, we see  that value of sin is increasing from 0 to 90

now lets see value of sin from 90 to 180

sin 90 = 1

sin 120 = [tex]\sqrt{3} /2[/tex]

sin 135 = 1/[tex]\sqrt{2}[/tex]

sin 150 = 1/2

sin 180 = 0

Thus, we see  that value of sin is decreasing from 90 to 180.

Answer:

The value of the test statistic is 4.26.

Step-by-step explanation:

In this case a hypothesis test is performed to determine whether most adults would erase all of their personal information online if they could.

A random sample of n = 453 adults were selected and it was found that 60% of them would erase all of their personal information online if they could.

Assume that the population proportion is, p = 0.50.

A z-test for single proportion would to used to perform the test.

Compute the value of the test statistic as follows:

[tex]z=\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

  [tex]=\frac{0.60-0.50}{\sqrt{\frac{0.50(1-0.50)}{453}}}\\\\=\frac{0.10}{0.0235}\\\\=4.25532\\\\\approx 4.26[/tex]

Thus, the value of the test statistic is 4.26.

Answer:

2/5 =0.4

Step-by-step explanation:

Decimals are one of the method of representation of  fractions in which there is  power of 10 in the denominator of the fraction. They are  10,100,1000,10,000 ,100,0000 and so

Example = 1/10 = 0.1

1/100 = 0.01

1/1000 = 0.001

In 2/5 we have to make the denominator 10

since in denominator there is five , can be made 10 by multiplying it by 2

2/2 = 1 and 1* x = x , hence if we multiply numerator and denominator by 2 it won't change the fraction.

2/5×2/2=2×2/5×2=4/10=0.4

Thus, 2/5 =0.4 in decimal form.

Step-by-step explanation:

firstly suppose f(X) as y and later interchange it with x and solve it to get inverse function of x.

The inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].

Important information:

We need to find the inverse of the given function.

Substitute [tex]f(x)=y[/tex].

[tex]y=2x-4[/tex]

Interchange [tex]x[/tex] and [tex]y[/tex].

[tex]x=2y-4[/tex]

Isolate [tex]y[/tex].

[tex]x+4=2y[/tex]

[tex]\dfrac{x+4}{2}=y[/tex]

Substitute [tex]y=f^{-1}(x)[/tex].

[tex]\dfrac{x+4}{2}=f^{-1}(x)[/tex]

Thus, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{x+4}{2}[/tex].

Find out more about 'Inverse of a function' here:

https://brainly.com/question/11926240

Answer:

l = A/aw

Step-by-step explanation:

Since we want the equation in terms of l, we simply isolate the l by dividing both sides by aw:

A = law

A/aw = law/aw

A/aw = l

Answer:

top left

Step-by-step explanation:

Consider finding points on the graph using the equation.

x = 0 : f(0) = [tex]0.5^{0}[/tex] + 4 = 1 + 4 = 5 ← y- intercept

Since y- intercept is 5, this excludes the lower 2 graphs, which have y- intercepts of 1

x = 1 : f(1) = [tex]0.5^{1}[/tex] + 4 = 0.5 + 4 = 4.5 ⇒ (1, 4.5 )

x = - 1 : f(- 1) = [tex]0.5^{-1}[/tex] + 4 = [tex]\frac{1}{0.5}[/tex] + 4 = 2 + 4 = 6 ⇒ (1, 6 )

These points lie on the top left graph

Answer:

$13.61

Step-by-step explanation:

$18 * 70% = $12.60

$12.60 * 1.08 = $13.61

Answer:

B: 8x^2+5x-6

Step-by-step explanation:

Answer:  c) 88

Step-by-step explanation:

8, -16, 32, ...

We can see that each previous term is multiplied by -2

so the next two terms will be 32(-2) = -64 and -64(-2) = 128

So the first 5 terms of the sequence is:  8, -16, 32, -64, 128

Add the positive numbers and the negative numbers, then find their sum.

8 + 32 + 128 = 168

   -16 + (-64) = -80  

              Sum = 88    

Answer:

54 degrees

Step-by-step explanation:

The opposite angles in a parallelogram are equal.

At least one other angle must be equal to 54°.

Given that, you are told that one of the internal angles of a parallelogram is 54°.

A parallelogram is a type of quadrilateral in which the opposite sides are parallel and equal. There are four angles in a parallelogram at the vertices. Understanding the properties of parallelograms helps to easily relate their angles and sides. Also, the properties are helpful for calculations in problems relating to the sides and angles of a parallelogram.

The four important properties of parallelogram angles and sides are as follows:

The opposite sides of a parallelogram are equal and parallel to each other.

Opposite angles are equal, i.e ∠A = ∠C, and ∠B = ∠D.

All the angles of a parallelogram add up to 360°, i.e. ∠A + ∠B + ∠C + ∠D = 360°.

The consecutive angles of a parallelogram are supplementary, i.e.,

∠A + ∠B = 180°

∠B + ∠C = 180°

∠C + ∠D = 180°

∠D + ∠A = 180°

Now, since opposite angles are equal, then the other angle must be equal to 54°.

Therefore, at least one other angle must be equal to 54°.

To learn more about the angles of parallelogram visit:

https://brainly.com/question/25999877.

#SPJ2

Answer:

100%

Step-by-step explanation:

The numbers odd or less than 7 are 5, 6, and 7.

3 numbers out of 3.

3/3 = 1

P(odd or less than 7) = 100%

Answer:

Option (2)

Step-by-step explanation:

Option (1)

In the interval [-1, 1] Or -1 ≤ x ≤ 1, value of the function will be represented by the y-values.

Since, the graph is below x-axis in the interval -1 ≤ x ≤ 0.5, function will be negative.

And in the interval 0.5 ≤ x ≤ 1, graph is above the x-axis, function will be positive.

Option (2)

In this option, graph is below the x-axis in the interval [-1, 1].

Therefore, the given graph is negative in this interval.

Option (3)

In this graph, function is negative and positive both in the interval -1 ≤ x ≤ 1.

Option (4)

In this graph function is completely above the x-axis in the interval -1 ≤ x ≤ 1.

So this function is positive in the interval [-1, 1].

Therefore, Option (2) will be the answer.

Answer:b since I got the others wrong