Calculate
∫173x+x2dx​,
given the following.
∫17x2dx=114 ∫78x2dx=1693 ∫17xdx=24
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Part 1
∫173x+x2dx=enter your response here
​(Type an integer or a simplified​ fraction.)

Answer:

2

Step-by-step explanation:

to solve this equation you must find what you multiply A to to equal A'

you can solve this by dividing 18 by 9

18 / 9 = 2

that is your answer

To determine the spot price of one Bitcoin, we can use the concept of no-arbitrage pricing. In this case, the futures contract price can be considered as the present value of the expected future spot price, taking into account the risk-free rate.

The futures contract price of $60810 per Bitcoin represents the expected future spot price one year from October 23, 2021. We can calculate the present value of this future price by discounting it at the risk-free rate of 1%. Using the formula for present value, we have:

Present Value = Future Value / (1 + Risk-free rate)

Present Value = $60810 / (1 + 0.01) = $60208.91

Therefore, the spot price of one Bitcoin closest to the given information is approximately $60208, which corresponds to option A.

Insummary, based on the information provided, the spot price of one Bitcoin is closest to $60208 (option A).

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The probability that at least 1 egg will come out of the boiling process with a cracked shell is 0.6246.

In the given question,

Jocelyn boils 24 eggs. From experience, she knows that the shell of any given egg has a 0.04 probability of cracking during the boiling process.

If shells crack independently, then we have to find the probability that at least 1 egg will come out of the boiling process with a cracked shell.

Probability of cracking eggs during the boiling process = 0.04

Total eggs = 24

Now the probability that at least 1 egg will come out of the boiling process with a cracked shell = 1 - (1 - 0.04)^24

The probability that at least 1 egg will come out of the boiling process with a cracked shell = 1 - (0.96)^24

The probability that at least 1 egg will come out of the boiling process with a cracked shell = 1 - 0.3754

The probability that at least 1 egg will come out of the boiling process with a cracked shell = 0.6246

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The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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The graph of the sine function f(x) = sin(400πx) is given by the image at the end of the answer.

The sine function in this problem is defined as follows:

f(x) = sin (y × 2πx).

In which the relevant variable for the graph is the variable y, which is the number of cycles in a single second of the wave.

In this problem, it is states that the note has a frequency of 440 Hz, meaning that it has 440 cycles in one second, thus the equation is:

f(x) = sin (440 × 2πx).

f(x) = sin (880πx).

The function is not multiplied by any value, hence the amplitude is of 1, meaning that the function oscillates between 0 and 1, and also there is not any phase shift or vertical shift, meaning that it oscillates between -1 and 1 starting at the origin.

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Answer:

760 in^2

Step-by-step explanation:

2(22*10)+2(22*5)+2(5*10) = 760in^2

Answer:

x = 39.1

Step-by-step explanation:

To find the mean, add up all the data points and then divide by the number of data points

(31.7+ 42.8+ 26.4+ x)/4 = 35

Multiply each side by 4

(31.7+ 42.8+ 26.4+ x)/4*4 = 35*4

(31.7+ 42.8+ 26.4+ x) = 140

Combine like terms

100.9+x = 140

Subtract 100.9 from each side

x = 140-100.9

x = 39.1

Answer:

-62

Step-by-step explanation:

The missing statements are:

Two triangles are comparable if the measurements of their corresponding sides are proportionate. The same is true if the lengths of two sides in one triangle are proportional to the lengths of the corresponding sides in another triangle and the included angles are congruent.

Given:

LQ || NP

So, In Δ LMQ and ΔPMN

LQ || NP (given)

<Q = <N (Alternate interior angle)

<L = <P (Alternate interior angle)

So, Δ LMQ and ΔPMN is similarity by AA similarity Criteria.

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To solve triangle ABC, we are given the lengths of all three sides: a = 0.58, b = 0.62, and c = 0.6.

To find the angles, we can use the Law of Cosines and the Law of Sines.

First, let's find angle A. We can use the Law of Cosines:

cos(A) = (b^2 + c^2 - a^2) / (2bc)

cos(A) = (0.62^2 + 0.6^2 - 0.58^2) / (2 * 0.62 * 0.6)

cos(A) ≈ 0.860

Using inverse cosine (arccos) function, we can find the value of angle A:

A ≈ arccos(0.860) ≈ 30.96°

Next, let's find angle B. We can use the Law of Sines:

sin(B) / b = sin(A) / a

sin(B) = (sin(A) * b) / a

sin(B) = (sin(30.96°) * 0.62) / 0.58

sin(B) ≈ 0.623

Using inverse sine (arcsin) function, we can find the value of angle B:

B ≈ arcsin(0.623) ≈ 38.62°

Finally, we can find angle C by subtracting the sum of angles A and B from 180°:

C = 180° - A - B

C ≈ 180° - 30.96° - 38.62°

C ≈ 110.42°

Therefore, the approximate angles of triangle ABC are: A ≈ 30.96°, B ≈ 38.62°, and C ≈ 110.42°.

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Answer:

It takes 1 year.

Step-by-step explanation:

You have to apply simple interest formula, I = (P×R×T)/100 where I represent interest amount, P is principle, R is interest rate and T is number of years :

\(I = \frac{PRT}{100} \)

\(200 = \frac{4000 \times 5 \times T}{100} \)

\(20000 = 20000T\)

\(T = 1\)

We, know that :

\( \underline{\boxed{\sf Interest \: amount = \dfrac{Principal \times Rate \times Time}{100}}}\)

\( \underline{\boxed{\sf I = \dfrac{P \times R \times T}{100}}}\)

By putting values, we have

\( \sf : \implies 200 = \dfrac{4000 \times 5 \times T}{100}\)

\( \sf : \implies 200 \times 100 = 20000 \times T\)

\( \sf : \implies 20000 = 20000 \times T\)

\( \sf : \implies \cancel{\dfrac{20000}{20000}} = T\)

\( \sf : \implies 1 = T\)

\( \underline{\boxed{\sf T = 1 \: year}}\)

It takes 1 year for him to earn $ 200 in simple interest.

Answer:

y=7x+

Step-by-step explanation:

y=mx + b

b is the number y is at when x is at

0

m us the slope or the number y goes up for each 1 number x does

in this set you can see when x is at 0 y is at 1 then for the next one you see when x is 1 y is 8 which is a 7 increase for

We can write, the given number 64 in term of the smallest base 2.

So, for solving k, 2 can be selected as base.

The minimum value of the objective function c = x + 2y, subject to the given constraints, is 44.

To solve the given LP problem:

Minimize c = x + 2y

Subject to:

x + 3y >= 20

2x + y >= 20

x >= 0

y >= 0

Since the objective function is a linear function and the feasible region is a bounded region, we can solve this LP problem using the simplex method.

Step 1: Convert the inequalities into equations by introducing slack variables:

x + 3y + s1 = 20

2x + y + s2 = 20

x >= 0

y >= 0

s1 >= 0

s2 >= 0

Step 2: Set up the initial simplex tableau:

markdown

Copy code

     x   y   s1   s2   c   RHS

-------------------------------

P     1   2   0    0    1   0

s1   1   3   1    0    0   20

s2   2   1   0    1    0   20

Step 3: Perform the simplex iterations to find the optimal solution.

After performing the simplex iterations, we obtain the following final tableau:

markdown

Copy code

      x    y    s1   s2   c    RHS

---------------------------------

Z    0.4  6.6   0    0    1   44

s1   0.2  1.8   1    0    0   10

s2   0.4  1.2   0    1    0   4

Step 4: Analyze the final tableau and determine the optimal solution.

The optimal solution is:

x = 0.4

y = 6.6

c = 44

Therefore, the minimum value of the objective function c = x + 2y, subject to the given constraints, is 44.

Since the LP problem is bounded and we have found the optimal solution, there is no need to consider the unbounded case.

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Answer:

The Founding of the Colonies.

French and Indian War.

Taxes, Laws, and More Taxes.

Protests in Boston.

Intolerable Acts.

Boston Blockade.

Growing Unity Among the Colonies.

First Continental Congress.

Step-by-step explanation:

Answer:

A, B, and D

Step-by-step explanation:

I just went through and did that math

Hope this helps!

The term that suggests that the threat of loss has a greater impact on a decision than the possibility of an equivalent gain is prospect theory.

Prospect theory is a theory that describes how individuals make decisions under uncertainty. The theory suggests that people think about gains and losses differently and that the value they assign to a particular change in their situation depends on their current situation. The theory is based on the observation that people often violate the principle of expected utility. They make decisions that do not maximize their expected utility. The theory suggests that people evaluate outcomes based on changes from a reference point, rather than in absolute terms. This means that people are more sensitive to changes in their situation than to the situation itself.

For example, a loss of $100 is more painful than the pleasure of gaining $100, and the pleasure of gaining $100 is less than the pain of losing $100.

In summary, Prospect theory suggests that the threat of a loss has a greater impact on a decision than the possibility of an equivalent gain.

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The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degree of freedom refers to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of the flexibility of the experiment or analysis to accommodate new data or observations.

In this case, the degrees of freedom is 8. To find the t-value, the t-table must be consulted. The t-table is a chart of t-values for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 equals 0.95. The t-table is organized such that the rows represent the degrees of freedom and the columns represent the area under the curve. For example, if the degrees of freedom is 8 and the area under the curve is 0.95, the t-value can be found in the row for 8 degrees of freedom and the column for 0.95 area under the curve. The t-value from the t-table in this case is 1.86.

Therefore, the value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

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The value of t such that the area under the curve between 1 and 11 equals 0.95, assuming the degrees of freedom is 8, is 1.86.

Degrees of freedom refer to the number of independent variables that can be varied in a statistical experiment or analysis. It is a measure of experimental or analytical flexibility to accommodate new data or observations.

In this case there are 8 degrees of freedom. To find the t value, we need to refer to the t table. A t-table is a plot of t-values ​​for different degrees of freedom. The t-value is the value at which the area under the curve between 1 and 11 is 0.95. The t-table is organized so that rows represent the degrees of freedom and columns represent the area under the curve. For example, if you have 8 degrees of freedom and the area under the curve is 0.95, find the t-value in the row with 8 degrees of freedom and the column with area under the curve of 0.95. In this case, the t-value in the t-table is 1.86.

Therefore, the value of t is such that the area under the curve between 1 and 11 is 0.95, assuming 8 degrees of freedom is 1.86.

The area between -t and t = 0.95

P(t₈ > t) = P(t₈ - t)

= 0.025

As t - distⁿ is symmetrical and are under the curve is 1 and degree of freedom is 8.

Hence, from t - table; the t - value = 2.306

i.e. P(t₈ > 2.306) = 0.025

or P(-2.306 < t₈ < 2.306) = 0.95

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The complete question is as follows:

Answer:

Step-by-step explanation:

Average rate of change = (Ending value - Beginning value) / Time elapsed

Using the formula for the average rate of change, we get:

(1824 - 1140) / 1095 = $0.55 per day

(1824 - 1140) / 36 = $19 per month

(1824 - 1140) / 12 = $54 per quarter

(1824 - 1140) / 3 = $228 per year

Therefore, the average rate of change for Tony's investment was $19 per month.

Option c. 0.4926. The effective interest rate with daily compounding is 0.4926 percentage points higher than with monthly compounding.

The viable financing cost is the genuine measure of revenue that Anna pays, considering the building recurrence. To look at the successful loan fee when the interest is accumulated day to day versus month to month, we can utilize the equation:

Viable financing cost = (1 + (expressed loan fee/n))^n - 1

where n is the quantity of intensifying time frames each year. For month to month compounding, n = 12, and for everyday compounding, n = 365.

Connecting the qualities, we get:

For month to month compounding: (1 + (0.1022/12))^12 - 1 = 0.1066 or 10.66%

For everyday compounding: (1 + (0.1022/365))^365 - 1 = 0.1115 or 11.15%

The contrast between the two powerful loan costs is 0.1115 - 0.1066 = 0.0049 or 0.49%, which is around 0.4926 rate focuses. In this manner, the right response is (c) 0.4926 rate focuses.

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Answer:

a. 85974 m²

b. 17,194,800 AED

c. 18,450 AED

Step-by-step explanation:

The sides of the quadrilateral are given as follows;

AB = 192 m

BC = 576 m

CD = 228 m

DA = 480 m

Length of a diagonal AC = 672 m

a. We note that the area of the quadrilateral consists of the area of the two triangles (ΔABC and ΔACD) formed on opposite sides of the diagonal

The semi-perimeter, s₁,  of ΔABC is found as follows;

s₁ = (AB + BC + AC)/2 = (192 + 576 + 672)/2 = 1440/2 = 720

The area, A₁, of ΔABC is given as follows;

\(Area\, of \, \Delta ABC = \sqrt{s_1\cdot (s_1 - AB)\cdot (s_1-BC)\cdot (s_1 - AC)}\)

\(Area\, of \, \Delta ABC = \sqrt{720 \times (720 - 192)\times (720-576)\times (720 - 672)}\)

\(Area\, of \, \Delta ABC = \sqrt{720 \times 528 \times 144 \times 48}\) = 6912·√(55) m²

Similarly, area, A₂, of ΔACD is given as follows;

\(Area\, of \, \Delta ACD= \sqrt{s_2\cdot (s_2 - AC)\cdot (s_2-CD)\cdot (s_2 - DA)}\)

The semi-perimeter, s₂,  of ΔABC is found as follows;

s₂ = (AC + CD + D)/2 = (672 + 228 + 480)/2 = 690 m

We therefore have;

\(Area\, of \, \Delta ACD = \sqrt{690 \times (690 - 672)\times (690 -228)\times (690 - 480)}\)

\(Area\, of \, \Delta ACD = \sqrt{690 \times 18\times 462\times 210} = \sqrt{1204988400} = 1260\cdot \sqrt{759} \ m^2\)

Therefore, the area of the quadrilateral ABCD = A₁ + A₂ = 6912×√(55) + 1260·√(759) = 85973.71 m² ≈ 85974 m² to the nearest meter square

b. Whereby the cost of 1 meter square land = 200 AED, we have;

Total cost of the land = 200 × 85974 = 17,194,800 AED

c. Whereby the cost of fencing 1 m = 12.50 AED, we have;

Total perimeter of the land = 576 + 192 + 480 + 228 = 1,476 m

The total cost of the fencing the land = 12.5 × 1476 = 18,450 AED

Answer:

in fraction form it is -4/9 and in decimal form it is -0.4

Step-by-step explanation:

Answer:

ly + 2 x − 3y

Answer:

QUESTION A

Player E has 3.1 free throw attempts and 10.4 points.

This is represented by the point labelled D in the image.

QUESTION B

The point (2.1, 18.6) can be compared to the table.

When we do so, we can see that player B has the same values for free throw attempts and points.

Thus, that point represents the data for player B.

QUESTION C

Player O scored 14.3 points and 4.8 free throw attempts. This can be shown in the

Answer:

Step-by-step explanation:

Principal ( P ) = $ 300

Rate ( R ) = 3%

Time ( T ) = 2 years

Now, let's find the simple Interest:

I = \( \mathsf {\frac{PTR}{100} }\)

\( \mathsf{ = \frac{300 \times 2 \times 3}{100} }\)

\( \mathsf{ = \frac{1800}{100} }\)

\( \mathsf{ = 18}\)

Extra information:

Simple Interest

In our daily life when we borrow a sum of money either from a moneylender or from any financial company, we have to pay the money back by adding with extra sum of money. This borrowed money is called principal. The extra money to be paid for the borrowing money is called interest , which is paid after certain duration in certain rate. At last, the borrowed money should be paid back along with interest which is called amount.

Interest is based on three factors : Principal ( P ) , Rate of interest ( R ) and Time ( T ). While computing the interest, the rate must be in percent and time in years.

\( \mathsf{ \: simple \: interest \: = \frac{PTR}{100} }\)

On simplifying

\( \mathsf{p = \frac{I \times 100}{T \times R} }\)

\( \mathsf{t = \frac{I \times 100}{P \times R} }\)

\( \mathsf{r = \frac{I \times 100}{P \times T}} \)

And from the definition,

Amount ( A ) = Principal ( P ) + Interest ( I )

Principal ( P ) = Amount ( A ) - Interest ( I )

Interest ( I ) = Amount ( A ) - Principal ( P )

Hope I helped!

Best regards!

Answer:$18

Step-by-step explanation:3% of $300 is $9.$9 is the interest of 1 year so the interest of 2 years is 2 multiplied by 9 which is $18.

Answer:

x = 2

Step-by-step explanation:

Product = muliplication

Let x represent the number

14x = 28

x = 2