1 pts Question 15 A linear trend model is used to predict daily sales (y): y=250+2.5x, where x=1 on the Monday of week one. Seasonal factors are as follows: Monday 1.0, Tuesday 0.7, Wednesday 0.8, Thu

Answer: $225

Step-by-step explanation:

Let the value of the bond at the purchase price be x.

Based on the information in the question, the equation to solve the question will be:

x + (8% × x) = $243

x + (8/100 × x) = $243

x + 0.08x = $243

1.08x = $243

x = $243/1.08

x = $225

Taylor's mom purchased the bond at $225

Answer:

Step-by-step explanation:

h(x) = 2

Look at the picture.

h(-1) = 2 and h(-3) = 2

Answer:

The lines on the graph are too faint to read.  But the question wants to know what value of x is required for the function to return a 2 in the calculation.  We don't have the equation, but the graph will tell us those points.  Find all cases in which the graph passes through a line drawn horizontally through the y = 2 mark.  I can't read the graph to find them.

Step-by-step explanation:

Answer:

Function rule is option c.

Answer:

a)0.11

b) 3.75

Step-by-step explanation:

a) take 4 away from 15

B) do 15 divided by 4

hope this helps bye if right mark brainlest PLEASE

Answer:

13

Step-by-step explanation:

Since triangles CBA and DBA are equal, their lengths would also be equal, thus, DB = 13 as CA = 13

Answer:

CAB = DAB

CA is equivalent to BD

Kids in grade school have a maximum percentage of 32 reasons that Option (d) is the correct answer.

Korey did the market analysis section of his business plan after conducting a population survey of 3,520 homes within a 5-mile radius.

He discovered that younger children who read comic books as children are more likely to read them as adults, resulting in a current and future client base.

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\( \huge \boxed{ \tt x = 83 {}^{\circ} }\)

x + 47 + 50 = 180 (sum of angles of triangle = 180°)

x + 97 = 180°

x = 180° -97

x = 83 °

Answer:

18.445

Step-by-step explanation:

Multiply

The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³

To know the amount of juice the cup can hold, we shall obtain the volume of the cup.

We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:

Volume = πr²h

Volume = 3.14 × 4² × 12

Volume = 3.14 × 16 × 12

Volume = 602.88 cm³

Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³

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Answer:

3
4
2
5
1

Step-by-step explanation:

(4.3 x 10^6)*(9.8 x 10^-4)=4.214x10^3
(2.9 x 10^7)*(1.6 x 10^-9)=4.64x10^-2
(4.7 x 10^3)*(8.6 x 10^-7)=4.042x10^-3
(3.8 x 10^-4)*(6.1 x 10^2)=2.318x10^-1
(4.042x10^-3)/(2.318x10^-1)=1.74x10^-2
(4.9 x 10^3)*(7.4 x 10^-6)=3.626x10^-2
(3.9 x 10^5)*(8.7 x 10^-3)=3.393x10^3
(3.7 x 10^-5)*(2.9 x 10^8)=1.073x10^4
(3.393x10^3)/(1.073x10^4)=3.16x10^-1
sorry took a while but hope that helps

The given identities can be verified using basic rules of exponentials and algebra. Here are the steps to verify the given identities:

(a) 1 = ∑_(n=1) ^∞▒〖10^(x)+2(-1) ^nln⁡(x)〗0

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n. ∑_(n=1)^∞▒10^(x) = 10^x+10^x+...= (2/3) (10^x) (odd terms only)∑_(n=1)^∞▒〖(-1)^nln⁡(x)〗= ln(x)-ln(x)+ln(x)-ln(x)+...= (0) (even terms only)

Thus, we have 1= (2/3) (10^x) + (0) = (2/3) (10^x) (b) e^x = ∑_(n=1) ^∞▒〖10^x+2n(x)〗

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.

∑_(n=1) ^∞▒10^(x) = 10^x+10^x+...= (1/2) (10^x) (even terms only) ∑_(n=1) ^∞▒〖2n(x)〗= 2(x)+2(2x) +2(3x) +...= 2x (1+2+3+...) = -x/(-1) ^2= -x

Thus, we have e^x= (1/2) (10^x) - x(c) e^(-x) = ∑_(n=1) ^∞▒〖10^x+2(-1) ^nln⁡(x)〗0

We can use the same series from part (a) with x replaced by -x.

Thus, we have e^(-x) = (2/3) (10^(-x)) + (0) = (2/3) (1/10^x)

Similarly, e^x= (2/3) (10^x) Subtracting these two equations, we get: e^x - e^(-x) = (2/3) (10^x + 1/10^x) (answer) (d)

Cosh x = ∑_(n=0) ^∞▒〖10^x+2n(x)〗

Similar to part (b), we have two series, one for even values of n, and one for odd values of n.∑_(n=0)^∞▒10^(x) = 1+10^x+10^x+...= (1/2) (10^x) (even terms only)∑_(n=0)^∞▒〖2n(x)〗= 0+2x+2(2x)+2(3x)+...= 2x (1+2+3+...)= 2x(1/(-1)^2)= 2xThus, we have Cosh(x) = 1 + (1/2) (10^x) + 2x (e^x)(e^x - e^(-x)) / 2= 1 + (1/2) (10^x) + 2x (1 + (2/3) (10^x + 1/10^x)) (answer)(e) Sinh x = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗

Rewrite the sum to obtain two series, one for even values of n, and one for odd values of n.∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x+2^3x+2^5x+...= 2x(1+2^2+2^4+...)= 2x(2^0+2^2+2^4+...)= 2x(1/ (1-2^2))= -2x/3Thus, we have Sinh(x) = ∑_(n=1)^∞▒〖2^(2n-1)(x)〗= 2x/3 (answer)

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Answer: (f-g)(4)=46

Step-by-step explanation:

(f-g)(4) means f(4)-g(4). We first need to find the values of f(4) and g(4).

f(4)=3(4)²+7(4)-3          [exponent]

f(4)=3(16)+7(4)-3          [multiply]

f(4)=48+28-3                 [add]

f(4)=76-3                       [subtract]

f(4)=73

g(4)=8(4)-5                    [multiply]

g(4)=32-5                      [subtract]

g(4)=27

Now that we have the value for f(4) and g(4), we can subtract them.

73-27=46

(f-g)(4)=46

Answer:

Step-by-step explanation:

\(x^{2}\) + 18x +c = 25+c

\(x^{2}\) + 18x +\(9^{2}\) =25+\(9^{2}\)    (the c just cancels out and add \(9^{2}\))

\((x+9)^{2}\) -106 = 0

The net total savings over the entire period of use of the machine is given by the expression 226a - (2/3)a^3 - (13/10)a^2.

The net total savings over the entire period of use of the machine can be found by integrating the difference between the savings and costs functions over the range of operation of the machine.

The savings function is given by:

S(x) = ∫S'(x) dx = ∫(226-x^2) dx = 226x - (1/3)x^3 + C1

The costs function is given by:

C(x) = ∫C'(x) dx = ∫(x^2 + 13/5x) dx = (1/3)x^3 + (13/10)x^2 + C2

where C1 and C2 are constants of integration.

The net total savings function is given by:

N(x) = S(x) - C(x) = 226x - (1/3)x^3 - (1/3)x^3 - (13/10)x^2 + C

where C = C1 - C2 is a constant of integration.

To find the net total savings over the entire period of use of the machine, we evaluate N(x) at the endpoints of the range of operation. Assuming the machine operates for a range of 0 ≤ x ≤ a years, we have:

N(0) = 0 - 0 - 0 - 0 + C = C

N(a) = 226a - (1/3)a^3 - (1/3)a^3 - (13/10)a^2 + C

Therefore, the net total savings over the entire period of use of the machine is:

N(a) - N(0) = 226a - (1/3)a^3 - (1/3)a^3 - (13/10)a^2 + C - C

= 226a - (2/3)a^3 - (13/10)a^2

Hence, the net total savings over the entire period of use of the machine is given by the expression 226a - (2/3)a^3 - (13/10)a^2.

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Answer:

a. 1.8C+32=F

b. F=60.8

c. light coat or hoodie or sweater

Step-by-step explanation:

a:

C=(5F-160)/9

9C=5F-160

9C+160=5F

1.8C+32=F

b:

1.8(16)+32=F

F=60.8

Answer:

Step-by-step explanation: The formula we are looking at :

C=(5F-160)/9

Multiply both sides by 9 to remove the denominator

9C=(5F-160)/9 *9

9C=(5F-160)

To get F terms on own add 160 both sides

9C+160=5F

we have 5F we need F

Must divide both sides by 5

(9C+160)5=5F/F

(9C+160)/5=F

You can divide through by 5

9C/5+160/5=F

1.8C+32=F.........answer for question (a)

b. If C=16 degrees substitute into

1.8*16+32=F

60.8=F

c. Light clothing nothing to heavy

d.  S0 we want to know at what point at which the temperatures are the same.

It occurs at -40degrees Celsius and -40 degrees farenheit

Do a search on the internet at what temperature are celsius and farenheit equal?

Answer:

1.400%

2. 55$

3. C

4. 28

5. 19

6. 78

7. 1$

10. a. The sequence is arithmetic as the difference between the next term and the previous term is constant.

b. The 200th term of the sequence is 1382.

c. 100 is not a member of the sequence.

11. a. u₁ is even and d is also even.

b. u₁ is odd and d is even.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

Given, u₁ = - 12 and uₙ₊₁ = uₙ + 7.

So,

u₂ = u₁₊₁ = - 12 + 7 = - 5.

Similarly, u₃ = - 5 + 7 = 2 and u₄ = 9.

So, The terms have a common difference o 7 and hence it is an arithmetic sequence.

We know, uₙ = u₁ + (n - 1)d.

Therefore, u₂₀₀ = u₁ + (200 -1)×7.

u₂₀₀ = - 12 + 199×7.

u₂₀₀ = - 12 + 1393.

u₂₀₀ = 1382.

Now, Determining whether 1000 is a member of the sequence.

Let, 1000 = - 12 + (n - 1)×7.

1012 = 7n - 7.

1019 = 7n, Here is not completely divisible hence 1000 is not a member of the sequence.

11. When all the terms of an AP is even the first term u₁ is even and the common difference would also be even and when all the terms of an AP are odd the first term u₁ would be odd and the common difference d would e even, as odd - odd = even.

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Answer:

170 units

Step-by-step explanation:

60+60+25+25=170

The 60 and 60 can be found by adding the length, 20+35+5.

The 25 and 25 can be found by taking 55+8-(30+8) for the widths.

Answer:

Step-by-step explanation:

Length = DE =OP

OP = 5 + 20 + 35 = 60 ft

Length of the rectangle CBED = 60ft

Width CD = CJ - (DG +GJ)

                = 55 - (8 + 30)

                = 55 - 38

                 = 17 ft

Area of CBED = length * width

                        = 60 * 17

                         = 1020 ft²

Answer:

- 18369919

Step-by-step explanation:

Hope that helps!

Using the same method, for the time period [1, 1.1], the average velocity (v_ave) is calculated to be approximately × m/s (rounded to two decimal places).

To find the average velocity for the time period [1, 1.1], we need to evaluate the given expression: v_ave = 65.28 - 1.86(). In this case, the function for velocity is not explicitly provided, so the expression is incomplete. The expression should involve the variable "t" representing time.

Assuming the correct expression for velocity is v(t) = 65.28 - 1.86t, we can calculate the average velocity over the interval [1, 1.1] by evaluating the expression at the endpoints and finding the difference.

v(1) = 65.28 - 1.86(1) = 63.42

v(1.1) = 65.28 - 1.86(1.1) = 63.234

The average velocity is then calculated by taking the difference in velocity values and dividing by the difference in time:

v_ave = (v(1.1) - v(1)) / (1.1 - 1) = (63.234 - 63.42) / 0.1 ≈ × m/s (rounded to two decimal places).

It's important to note that the correct expression for velocity is necessary to obtain an accurate average velocity value for the given time period.

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Answer:

15

Step-by-step explanation:

Hope this helps

add 12 and 3 and you get 15

multiply 8 and 5 and you get 40

subtract 40 from 15 you get 24

yeeeeeeeeeeeeeeee

Answer:

probably 400 its closest to what i got

Step-by-step explanation:

Answer:

120°

Step-by-step explanation:

If the line were to continue down to form a triangle at the bottom, it would cross the line with an interior angle of 70°.  Since we have two of the angles, we subtract them from 180°.

180-70-50=60°

That would be the third interior angle at the top of the triangle.  Angle x is supplementary to that.

180-60=120°

The derivative of the function y = x(6x + 1)⁵ is: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴

To find the derivative of the given function, we can apply the rules of differentiation. Using the product rule, we differentiate each term separately and then add them together.

For the first term x, the derivative is simply 1.

For the second term (6x + 1)⁵, we apply the chain rule. The derivative of (6x + 1)⁵ with respect to x is 5(6x + 1)⁴ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get (6x + 1)⁵ * 6 = 6(6x + 1)⁵.

For the third term x(6x + 1)⁴, we again apply the product rule. The derivative of x is 1, and the derivative of (6x + 1)⁴ is 4(6x + 1)³ multiplied by the derivative of the inner function 6x + 1, which is 6.

Multiplying these derivatives together, we get x * 4(6x + 1)³ * 6 = 24x(6x + 1)³.

Finally, we add the derivatives of each term to get the derivative of the entire function: dy/dx = (6x + 1)⁵ + 30x(6x + 1)⁴.

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Complete question:

Use the rules of differentiation to find the derivative of the function y= x(6x + 1)⁵

(6x + 1)⁵ + 30x(6x + 1)⁴

(6x + 1)⁴ (36x + 1)

x-1/6

No correct answer provided.

Answer:

  D.  f(x) = x

Step-by-step explanation:

You want the parent function described by a table that has its y-values equal to its x-values.

We observe that each row of the table has the same value in the y-column as in the x-column. That is, ...

  y = x

Written using function notation, this is ...

  f(x) = x

#95141404393

The rowing speed of the crew in still water is 6 km/h.

Let us say the rowing speed of the crew in still water is v km/h.
Then their speed upstream is (v-3) km/h and their speed downstream is (v+3) km/h.
Now, we can form the equation as follows: 2 hours 40 minutes = time to travel upstream + time to travel downstream
2 hours 40 minutes can be written as (2 + 40/60) hours or (5/3) hours.
Distance traveled upstream = Distance traveled downstream= 6 km
Let us assume that the time taken to travel upstream is t hours.
Then the time taken to travel downstream is (5/3 - t) hours.
Therefore, the distance traveled upstream = (v - 3)t km and the distance traveled downstream = (v + 3)(5/3 - t) km.
We can now write the following equation based on the above-mentioned details:6 = (v - 3)t + (v + 3)(5/3 - t)
Now, we can simplify this equation as follows:6 = (v - 3)t + (5v/3) - (v + 3)t2t = (5v/3) - (v/3)2t = 4v/3t = (2/3)v
Substituting the value of t in the equation v - 3t = 6, we can get the value of v as follows:
v - 3(2/3)v = 6v(1 - 2) = 6v = -6/(-1) = 6

Therefore, the rowing speed of the crew in still water is 6 km/h.

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howdy!

the answer is C.

To find the surface area of the figure, we need to consider the individual surfaces and add them together.

First, let's identify the surfaces of the figure:

The lateral surface area of the larger prism (excluding the base)

The two bases of the larger prism

The lateral surface area of the smaller prism (excluding the base)

The two bases of the smaller prism

The lateral surface area of a prism is given by the formula: perimeter of the base multiplied by the height.

The bases of the prisms are rectangles, so their areas can be calculated by multiplying the length by the width.

To find the missing prism's surface area, we need to consider that it is a smaller prism nested inside the larger prism. The lateral surface area and bases of the missing prism should also be included.

Once we have calculated the individual surface areas, we add them together to find the total surface area of the figure.

Without specific measurements or dimensions of the figure, it is not possible to provide a numerical answer. Please provide the necessary measurements or dimensions to calculate the surface area.

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Money Jessica gets for her birthday = $10

Money she will get from her aunt Karin for her next birthday :-

= 20% more than the money she usually gets

= 20% more than 10

\( = 20 \times \frac{1}{10} + 10\)

\( = \frac{20}{10} + 10\)

\( = \frac{2}{1} + \frac{10}{1} \)

\( = 2 + 10\)

\( = $12\)

Therefore , Jessica will get $12 for her next birthday year .