What is the area of the region in the first quadrant that is bounded above by y=sqrt x and below by the x-axis and the line y=x-2?

For the given case the full purchase price will be $1,628.92,Principal will be $1,600, Tax will be $101.60,Interest will be  $27.32 and Total is  $1,728.92.

To calculate the full purchase price, first, you must calculate the sales tax. To do this, multiply the price of the pickup ($1,600) by the sales tax rate (6.5%), which equals $101.60. Next, you must calculate the interest. To do this, multiply the amount borrowed ($1,504) by the interest rate (8%) and the number of years (1), which equals $27.32.

Finally, you must add the principal ($1,600), the sales tax ($101.60), and the interest ($27.32) to get the full purchase price of $1,728.92. Once you subtract the down payment of $200, the total purchase price is $1,628.92.

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The speed of the particle at time t=4 is 5 units.

We are given the x(t) vs time curve.

To find:

Speed of particle at t = 4

We know that the slope of x-t curve represents the speed of the particle.

To calculate the speed of the particle at t = 4, We will calculate the slope of the curve at t = 4

Slope = y₂ -y₁ / x₂ - x₁

Slope = 40 - 10 / 6 - 0

Slope = 30 /6

Slope = 5

From here we can say that the slope of the curve between x = 0 and x = 6 is equal to 5.

So the value of speed is also 5 units.

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6(x-2) > 15

6x - 12 > 15

6x > 27

x > 27/6

Hope it helps!

Answer:

x>4.5

Step-by-step explanation:

6(x-2)>15

We do this is as if it were an equation:

6(x-2)>15

Expand the brackets:

6x-12>15

Add 12 to both sides:

6x-12+12>15+12

Simplify:

6x>37

Now we divide both sides by 6:

6x÷6>37÷6

x > 4.5

If we put 5 into the original equation as it is more than 4.5, we get:

6(5-2)>15

We can simplify the brackets or expand first:

Simplifying the brackets first:

6(3)>15

18>15 ✅

Expanding first:

6(5-2)>15

30-12>15

18>15 ✅

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

283024

Step-by-step explanation:

First do 532^7

The answer is 12060947473224100000

Next, do 532^-8

The answer is 1/6416424055755230000000

Multiply that number by the first number

(I don't want to type that all out again)

The answer is 1/532

Now, do the last problem. 532^3

The answer is 150568768

Multiply that number by 1/532

The answer is 283024

Hope I helped :)

Please consider Brainliest :)

(it took me so long to type that)

Answer:

fourth option

Step-by-step explanation:

let t be tennis balls and g be golf balls, then

5t + 3g = 70 → (1)

2t + 5g = 85 → (2)

Multiplying (1) by 5 and (2) by - 3 will eliminate g

25t + 15g = 350 → (3)

- 6t - 15g = - 255 → (4)

Add (3) and (4) term by term to eliminate g

19t = 95 ( divide both sides by 19 )

t = 5

Substitute t = 5 into either of the 2 equations and solve for g

Substituting into (1)

5(5) + 3g = 70

25 + 3g = 70 ( subtract 25 from both sides )

3g = 45 ( divide both sides by 3 )

g = 15

Thus

$5 for tennis balls and $15 for golf balls

Answer:

10

Step-by-step explanation:

diameter = 2 time the radius

Radius = 5

5 *2 = 5 + 5 = 10

Answer:

x=4, y=3; (4,3)

Step-by-step explanation:

Answer:

b?

Step-by-step explanation:

The value of x when secant intersects is 25 degrees.

A secant is an extension of a chord in a circle which is a straight line segment of which the endpoints lie on the circle.

The secants BG and DG intersect at G. Therefore, using secant rule,

55° = 1 / 2 (100 + 35 - x)55°

= 1 / 2 (135 - x)55°

=  135 / 2 - x / 255

= 67.5 -  x / 2

subtract 67.5 from both sides of the equation

55 - 67.5 = - x / 2-12.5

= - x / 2

cross multiply

-12.5(2) = - x

divide both sides by -1

x = 25 degrees

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Answer:

10

Step-by-step explanation:

486-466 = 20

1/2 x 20 = 10

:]

Answer:

an expression that equals 10

Step-by-step explanation:

486 - 466 = 20

1/2 of 20 is 10

You don't list choices.

You need an expression that equals 10.

Answer:

a

Step-by-step explanation:

Answer:

(3, -3)

Step-by-step explanation:

If you go right 1 unit and down 1 unit you have to do the opposite to get to your original point.

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

i cant see anything???????

The probability that none of the 5 calls reaches a person is 0.32768 for the general case and 0.659081 for the New York City case.

The probability that a call reaches a live person is 0.2, so the probability that a call does not reach a live person is 1 - 0.2 = 0.8.

a) If a telemarketer places 5 calls, the probability that none of them reaches a person is 0.8^5 = 0.32768.

b) When calls are made to New York City, the probability of reaching a person is only 0.08, so the probability of not reaching a person is 1 - 0.08 = 0.92. The probability that none of 5 calls made to New York City reaches a person is 0.92^5 = 0.659081.

Therefore, the probability that none of the 5 calls reaches a person is 0.32768 for the general case and 0.659081 for the New York City case.

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The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

Given that,

In a survey, it was discovered that 68% of women and 78% of men preferred computer-assisted education to lectures, respectively. Each sample contained 100 people that were chosen at random.

We have to calculate the 95% confidence range for the difference between the two proportions.

We know that,

The 95% confidence interval for difference between two population proportions is given as follows :

\(((\bar p_{1} -\bar p_{2})\)±\(Z_{0.05/2}\sqrt{\frac{PQ}{n_{1} } +\frac{PQ}{n_{2} }} })\)

Here,

p₁ is 0.78

p₂ is 0.68

n₁ is 100

n₂ is 100

Z is 1.96

P is 0.73

Q is 0.27

So,

((0.78-0.68)±\(1.96\sqrt{\frac{(0.73)(0.27)}{100 } +\frac{(0.73)(0.27)}{100 }} })\)

(0.10±0.122)

(0.10-0.122,0.10+0.122)

(-0.022,0.222)

Therefore, The 95% confidence interval for the difference between the two population proportions is -0.022 < p₁ - p₂ < 0.222.

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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Answer:

15 minutes

Step-by-step explanation:

in this case 1 hour 25 minutes is also equivalent to 75 minutes so 90 -75 would give you 15 minutes

When a set of eight cards were labeled with A, D, D, I, T, I, O, N. The sample space for choosing a card is

A sample space is a set or collection of potential outcomes from a random experiment.

The letter "S" stands for the sample space in a symbol. The term "events" refers to a subset of probable experiment results.

Depending on the experiment, a sample area could include a variety of results.

For the given problem, the sample space is A, D, D, I, T, I, O, N which is rearranged to be S = {A, D, D, I, I, N, O, T}

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Answer:

The answer is D

Step-by-step explanation:

A control chart that measures variables measures characteristics that can be measured on a continuum of value like weight and volume.

Control diagrams are a measurable instrument used to screen and control processes over the long haul. They are utilized to follow factors that can be estimated on a consistent scale, like weight, volume, temperature, or time. These factors are not discrete, yet rather fall along a reach or continuum of values. By plotting information over the long haul on a control graph, a cycle can be observed to guarantee that it stays inside a predetermined scope of OK variety. The control diagram gives a visual portrayal of the cycle information, permitting process proprietors to recognize when the interaction is crazy or when it might require remedial activity. Generally, control outlines that action factors assist with guaranteeing the nature of the cycle yield by empowering process proprietors to distinguish and address issues before they bring about deformities or mistakes.

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a) Since the triangles are congruent, and ΔABC is congruent to ΔDEF, segments AB and DE have the same value. Therefore, you can use algebra to solve for x when using the knowledge that (12 - 4x) is equal to (15 - 3x).

To solve:

12 - 4x = 15 - 3x

12 = 15 + x

-3 = x

Therefore, x is equal to -3.

b) To find the value of AB, plug in the value of x found in part a).

12 - 4x

12 - 4(-3)

12 - (-12)

12 + 12 = 24

Thus, segment AB is equal to 24.

c) As shown in part b), plug in the value of x found in part a) to find the value of segment DE.

15 - 3x

15 - 3(-3)

15 - (-9)

15 + 9 = 24

Thus, segment DE is also equal to 24.

We can confirm the knowledge of the equal side lengths because the triangle are congruent. This means that all the side lengths in the triangle are the same, which is confirmed when algebraically plugging in the value of x to solve for the values of the segments AB and DE.

I hope this helps!

Answer:

2

Step-by-step explanation:

Basically you plug in -6 where all the x's are.

(-6)² + 7(-6) + 8, Multiply -6 * -6 (AKA (-6)²)

36 + 7(-6) + 8, Multiply 7 by -6

36 - 42 + 8, Add 36 + 8

44 - 42, Subtract

2

Answer:

It has traveled 325 miles

Answer:

In 1 hour truck travels 65 miles

In 5 hours, truck travels 65*5= 325 miles

Shyam has elected to contribute four percent of his $40,000 compensation, which is equal to (4/100)*$40,000 = $1,600. This amount will be deducted from his salary and contributed to his SIMPLE § 401(k) plan.

His employer will contribute three percent of his $40,000 compensation, which is equal to (3/100)*$40,000 = $1,200. This amount is in addition to Shyam's contribution and will be directly deposited into his SIMPLE § 401(k) account.

The total contribution to Shyam's SIMPLE § 401(k) plan will be the sum of his and his employer's contributions, which is equal to $1,600 + $1,200 = $2,800.

However, not all of this amount will vest immediately. Vesting refers to the process by which an employee becomes entitled to employer contributions made to their retirement plan.

For example, if the vesting schedule is 20% per year, Shyam will be entitled to 20% of his employer's contributions after the first year, 40% after the second year, and so on until he is fully vested after five years.

Without knowledge of Shyam's employer's specific vesting schedule, it is impossible to determine how much of the total contribution will vest immediately. Therefore, the answer to the third blank is unknown.

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Answer:

The answer is 60

The number 0.0098 has two significant digits.In scientific notation, it can be written as 9.8 x 10^(-3), where the digits 9 and 8 are significant.

The leading zeros before the 9 do not contribute to the number of significant digits. Therefore, the correct answer is option a. 2.

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Answer:

What are these

Step-by-step explanation:

Answer:

The probability that the total she scores is less than 5 is 2/9

Step-by-step explanation:

The probability for any given number to be on top for a fair six-sided dice is 1/6

The probability for any number for the spinner is 1/3

We have to find the probability that the sum of the resulting numbers is less than 5, so we can have,

1 + 1, 1 + 3, 2 + 1, 3 + 1,

For any of these, for example, the probability of the dice rolling a 1 is 1/6 and the spinner resulting in a 1 is 1/3, so the combined probability is the product of 1/6 and 1/3

So,

Combined P = (1/6)(1/3)

Combined P = 1/18

Now, there are 4 such cases where the sum is less than 5, namely, as we have already pointed out,

1 + 1, 1 + 3, 2 + 1, 3 + 1 < 5

So, we multiply the combined probability by 4 to get the total probability for having a sum of less than 5,

Total Probability = P = 4(Combined P)

Total Probability = 4(1/18)

Total Probability = 2/9

The probability that Macey's total score is less than 5 when she rolls a six-sided dice and spins a three-sided spinner is 2/9.

When Macey rolls a six-sided dice, the result could be any number from 1 to 6. Similarly, when she spins a three-sided spinner labelled 1, 3 and 6, the spin could result in one of these three numbers. To calculate the probability that the score is less than 5, we need to consider all possible outcomes where the addition of the result from the dice and the spinner is less than 5.

Outcomes where the total score is less than 5 are when she gets a 1 on the dice and spins a 1 or 3 on the spinner, or gets a 2 on the dice and spins a 1 on the spinner. There are a total of 18 possible results (6 results from the dice and 3 from the spinner). Out of these 18 outcomes, only 4 result in a score less than 5, giving a probability of 4/18 or 2/9. Therefore, the probability that Macey's score will be less than 5 is 2/9.

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