The vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6. What is the coefficient of the squared term in the parabola’s equation?

Answer:

Step-by-step explanation:

Negative angle: -485+360=-125 degrees

Positive angle: -485+720=235 degrees

Answer:

The length is 35 inches and the width is 15 inches.

Step-by-step explanation:

First work of the real length of the field. Given is the ratio of drawing to original and the dimensions of the drawing. so in real life the lawn measures 70 inches in length and 30 inches in width.

Now, we have to divide this in the ratio 1:2, which gives

The length of 35 inches and the width of 15 inches.

Hope this helps

Answer:

Your answer is 3 or C.. 35 inches and width of 15 :)

Step-by-step explanation:

The geometric series is divergent and The sum of the series is: S = e/3/(1-1/3) = e/2

The given series is: ∑ (en/(4n-1)), n=1 to infinity

To determine if this series is convergent or divergent, we can use the ratio test:

= lim n→∞ \(|(en+1/(4(n+1)-1))/(en/(4n-1))|\)

= lim n→∞ \(|en+1(4n-1)/en(4n+3)|\)

= lim n→∞ \(|(4n-1)/(4n+3)|\)

Since e is a positive constant, it does not affect the convergence or divergence of the series. Taking the limit, we get:

lim n→∞ \(|(4n-1)/(4n+3)|\)

= 1

Since the limit is equal to 1, the ratio test is inconclusive. We need to use another test to determine the convergence or divergence of the series.

Next, we can try the root test:

= lim n→∞ \((en/(4n-1))^(1/n)\)

= lim n→∞ \(e^(1/n) / (4-1/n)^(1/n)\)

= 1/4

Since the limit is less than 1, the series converges by the root test.

To find the sum of the series, we can use the formula for the sum of a convergent geometric series:

S = a/(1-r)

where a is the first term of the series and r is the common ratio.

The first term is e/(4-1) = e/3. The common ratio is e/(4n-1) multiplied by its inverse, which is (4n-1)/e. Simplifying, we get:

r = \((4n-1)/(3(4n)) = (1-1/(4n))/(3/4)\)

Taking the limit as n approaches infinity, we get:

lim n→∞ r = 1/3

Therefore, the sum of the series is:  S = e/3/(1-1/3) = e/2

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Answer:

648 floors.

Step-by-step explanation:

Since there are 4 large buildings and 1 would be unavailable, there would be three left. You multiply. 3 x 8 x 27 = 648 !

Answer:

(-3-1)^2+(0+3)^2=r^2

radius is 5 units

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2

We know values of all variables except r at the moment.

h is the x-coordinate of the center of the circle, and k is the y-coordinate.

x and y are coordinates of a point the circumference touches.

From there, just plug in the numbers and solve!

Answer:

1/3 is equivalent to 4/12 .

Here are the others :

1/3, 2/6 , 3/9, 5/15, 6/18, 7/21

Step-by-step explanation:

Answer:

It's D)

C is incorrect because the constant is + 1, not - 8

A is incorrect because the f doesn't go up by 2 for every x value

B is incorrect because 2/3 * 2 would be 4/3 which is 1 1/3, which is wrong because g goes up by 2 every x.

D is correct because f goes up by 1/3, and the y-intercept is 1 (Where the line meets when the x-axis is 0) and 1/3 * 6x is 6x/3 which is 2x, then add the y-intercept to the equation, which should be 2x + 1

Answer:

Sum = 9a + 45d = 108. Or a + 5d = 12. Hence 6th term = 12. SUFFICIENT.

Question:

James has 14,500g of sand in his sandbox. He brings home another 7,400g of sand from the beach to add to his sandbox. How many kilograms of sand does James have in his sandbox now?

Answer:

The quantity of sandbox James has is 21.9kg

Step-by-step explanation:

Given

Initial quantity of sandbox = 14,500 g

Additional quantity = 7,400 g

Required

Total quantity of sandbox in kg

Tp get the total quantity of sandbox, we simply add in the initial and additional quantity of sandbox together;

This is represented mathematically as follows;

Total = Initial Quantity + Additional Quantity

Total = 14,500 g + 7,400 g

Total = 21,900 g

But the question says the answer should be in kg

1000 g is equivalent to 1 kg

21,900 g will be equivalent to \(\frac{21,900}{1,000} kg\)

\(21,900g = \frac{21,900}{1,000} kg\)

\(21,900g = 21.9 kg\)

Hence, the quantity of sandbox James has is 21.9kg

The doctor will use 960 minutes on the patients before it is your turn.

If there are 8 patients before you and the doctor says you have to wait 2 hours for your turn, we need to calculate the total time the doctor will spend with all the patients before you.

Since there are 60 minutes in an hour, 2 hours would be equal to 2 * 60 = 120 minutes.

To find the total time the doctor will use on the patients, we need to multiply the number of patients by the time per patient. In this case, there are 8 patients before you, so:

Total time = Number of patients * Time per patient

= 8 * 120

= 960 minutes

It's important to note that this calculation assumes equal time spent with each patient. In reality, the time spent with each patient may vary depending on their medical needs and the complexity of their cases.

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The definition you provided is related to the concept of finding the area under the graph of a continuous function.

The area A refers to the total area of the region that lies under the graph of the continuous function.

The limit notation, "lim," indicates that we are taking the limit of a certain expression. This is done to make the approximation more accurate as we consider smaller and smaller rectangles

The sum notation, "Σ," represents the sum of areas of approximating rectangles. This means that we divide the region into smaller rectangles and calculate the area of each rectangle.

The expression within the sum represents the area of each individual rectangle. It consists of the function evaluated at a specific x-value, denoted as f(x), multiplied by the width of the rectangle, denoted as Δx. The sum is taken over a range of x-values, from "a" to "b," indicating the interval over which we are calculating the area.

The Δx represents the width of each rectangle. As we take the limit and make the rectangles narrower, the width approaches zero.

Overall, the definition is stating that to find the area under the graph of a continuous function, we can approximate it by dividing the region into smaller rectangles, calculating the area of each rectangle, and summing them up. By taking the limit as the width of the rectangles approaches zero, we obtain a more accurate approximation of the total area.

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Answer:

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. Prime factorization: 48 = 2 x 2 x 2 x 2 x 3, which can also be written 48 = 2⁴ x 3.

Hoped I helped

Based on the given data from the crossover trial comparing two pain relievers (drugs A and B), we can conclude that there is evidence to suggest that the mean pain level is higher with drug B.

The appropriate null and alternate hypotheses are:

Null hypothesis (H0): μ1 = μ2 (There is no difference in the mean pain level between drug A and drug B)

Alternate hypothesis (H1): μ1 < μ2 (The mean pain level is higher with drug B)

To compute the P-value using the TI-84 Plus calculator, we need to perform a paired t-test on the data. By calculating the t-statistic for the paired differences and degrees of freedom, we can obtain the P-value associated with the observed difference. Using the P-value method, the obtained P-value is compared to the significance level (α = 0.10) to make a decision.

If the computed P-value is less than the significance level (0.10), we reject the null hypothesis. This indicates that there is sufficient evidence to support the alternative hypothesis, suggesting that the mean pain level is indeed higher with drug B.

Based on the results of the analysis, we can conclude that there is evidence to suggest that the mean pain level is more with drug B compared to drug A. However, it's important to note that this conclusion is based on the given data and the assumptions made during the analysis. Further studies with larger sample sizes and rigorous experimental designs may be needed to confirm these findings.

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The partial fraction decomposition of the rational expression 4x² + 3x²(x - 5)² can be written as: (A/x) + (B/(x - 5)) + (Cx + D)/(x - 5)²

To decompose the given rational expression into partial fractions, we start by factoring the denominator. In this case, the denominator is x²(x - 5)², which can be broken down as (x)(x - 5)(x - 5).

Linear factors

The first step is to express the rational expression in terms of its linear factors. We write the expression as the sum of fractions with linear denominators:

4x² + 3x²(x - 5)² = A/x + B/(x - 5) + (Cx + D)/(x - 5)²

Determining the constants

Next, we need to find the values of the constants A, B, C, and D. To do this, we can multiply both sides of the equation by the common denominator x²(x - 5)² and simplify the equation.

Solving for the constants

To solve for the constants, we equate the numerators of the fractions on both sides of the equation.

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The domain is \(\{2\}\) as it is the only argument for which the relation has a corresponding value.

To evaluate the given integral using Green's theorem, we need to express it in the flux form.  The result of the integral is -r/6.

Green's theorem states that for a region R bounded by a simple closed curve C, the flux of the vector field F = (P, Q) across C is equal to the double integral of the curl of F over R.

In this case, we have the vector field F = (r^2xy, 1/2y^3), where r is the position vector (x, y).

The flux form of Green's theorem is:

\(∫∫R (curl F) · dA = ∫∫R (∂Q/∂x - ∂P/∂y) dA\)

Let's calculate the curl of F:

∂Q/∂x = 0

∂P/∂y = 2rxy

So, the curl of F is given by\((∂Q/∂x - ∂P/∂y) = 0 - 2rxy = -2rxy.\)

Now, let's evaluate the integral using the flux form of Green's theorem:

∫∫R (-2rxy) dA

Since the region R is a triangle with vertices (0,0), (1,0), and (0,1), we can express it as:

\(R = {(x, y) | 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 - x}\)

Now, we can rewrite the integral:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Let's evaluate the inner integral first:

\(∫₀^(1-x) (-2rxy) dy = -2rxy²/2 ∣₀^(1-x) = -rxy² ∣₀^(1-x) = -r(x-x²)\)

Now, evaluate the outer integral:

\(∫₀¹ -r(x-x²) dx = -r(x²/2 - x³/3) ∣₀¹ = -r(1/2 - 1/3) = -r(3/6 - 2/6) = -r(1/6) = -r/6\)

Therefore, the result of the integral is -r/6.

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I can't see the rest of the paper and for number 9 you got it correct and I'm assuming you understand it, unless you just guessed. And I can't see the rest of the paper so I will be doing all of number 10.

Answer:

10.

a)

2005-2006

The only time the medicare funds are higher than the original amount they started out with on the graph is from 2005-2006. I think that is what they were looking for.

b)

15-16

For this one I'd say the funds decreased by about 15-16

c)

Both periods had about 6 billion dollars

Like it says on the paper this one is would be 6 because the points are over the 5 billion dollar mark.

d)

The answer is 2011

For this one I see why you put 2013 and if they were asking for when Medicare funds were at it's lowest it would be 2013. The answer to this question is actually 2011 because that is when the Funds first crossed the deficit line.

I hope I helped!

C is 6

D is 2011

A I'm not sure but I think it's 04

Answer:

no they don't intersect

Step-by-step explanation:

line 1:

m=11-3/7-3=8/4=2

y-3=2(x-3)

y-3=2x-6

y=2x-3

line 2:

m=24-8/13-5=16/8=2

y-8=2(x-5)

y-8=2x-10

y=2x-2

no they don't intersect cause they are parallel and parallel lines don't cross

Answer:

13.6

Step-by-step explanation:

68(km on map)/5(the cm-km)=13.6

In this given problem, we have to calculate the values of α and β for the daily consumption of electric power having gamma distribution and also have to find the probability of the given scenario.

a) The value of \(\alpha =3\) and \(\beta =6\).

b) The probability that on any given day the daily power consumption will exceed 12 million kilowatt hours is 0.10702 (approx.).

a) The gamma distribution is represented by X ∼ Γ(α, β).

We are given that the mean of gamma distribution is μ = 6 and variance is σ² = 12.

Now, we know that the mean and variance of a gamma distribution are given as follows:

Mean, μ = αβ

Variance, σ² = αβ²

By putting the values given in the question, we have

6 = αβ

12 = αβ²

Dividing the above two equations, we get:

αβ / αβ² = 1 / 2

β = 2α

Hence, substituting the value of β in the equation 6 = αβ, we get:

α = 3 and β = 6

b) We have to find the probability that on any given day the daily power consumption will exceed 12 million kilowatt hours.Since the distribution is a gamma distribution, we have X ∼ Γ(3, 6).

To find the probability of any random variable exceeding a certain value, we use the following formula:

P(X > a) = 1 - F(a)

where F(a) is the cumulative distribution function (CDF) of X.

To use this formula, we first need to find the CDF of X, which is given by:

P(X ≤ x) = F(x) = {1 / (Γ(α)β³)} ∫₀ⁿ x² e⁻(x/β) dx

We can use a computer or calculator to find this integral, or we can use tables of the gamma distribution to look up the value of F(x).

Here, we will use a calculator to find the value of F(12).F(12) = 0.89298 (approx.

)Now, using the formula for the probability of exceeding a certain value, we get:

P(X > 12) = 1 - F(12)

              = 1 - 0.89298

              = 0.10702 (approx.)

Therefore, the probability that on any given day the daily power consumption will exceed 12 million kilowatt hours is approximately 0.10702 or 10.702%.

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The equation in percentage given by, $2.21 + 8% tax = $2.3868 rounds to $2.4 to the nearest tenth.

Given an equation,

$2.21 + 8% tax = $2.3868

This is an equation which relates the cost including the percentage of tax.

When 2.21 is added to the tax amount, we get $2.3868.

2.21 + (0.08 × 2.21) = 2.3868

Here it is not mentioned up to what decimal we have to round the figure.

If 2.3868 is rounded to the nearest whole number, it becomes 2.

If 2.3868 is rounded to the tenth, it becomes 2.4.

If 2.3868 is rounded to the hundredth, it becomes 2.39.

Hence the rounded amount to the nearest tenth is $2.4.

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Answer:

C≈18.85

Step-by-step explanation:

have a nice day!

Answer:

The statement is false. Vertical angles are the left and right angles of the four angles formed by two intersecting lines.

Answer:

The answer to number 3 is -2.

The answer to number 4 is 30,340 feet.

The answer to number 5 is 7 and -3.

Step-by-step explanation:

So much work, take it and go, lol.

Hope this helped! :)

Answer:

(- 5, 1 )

Step-by-step explanation:

Given the translation rule

(x, y ) → (x - 2, y - 6 )

This means subtract 2 from the original x- coordinate and subtract 6 from the original y- coordinate, that is

(- 3, 7 ) → (- 3 - 2, 7 - 6 ) → (- 5, 1 )

The number of late insurance claim payouts per 100 should be measured with a p-chart. Therefore, the correct option is (e) p-chart.

A p-chart is a type of control chart used to monitor the proportion of nonconforming items in a sample, where nonconforming items are those that do not meet a certain quality standard or specification. In this case, the proportion of late insurance claim payouts would be the proportion of nonconforming items.

A p-chart is appropriate when the sample size is constant and the number of nonconforming items per sample can be either small or large. It is used to monitor the stability of a process and to detect any changes or shifts in the proportion of nonconforming items over time.

An X-bar chart and R-chart are used to monitor the mean and variability of a continuous variable, respectively, and would not be appropriate for measuring the number of nonconforming items.

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Answer:

56 packs of seeds

Step-by-step explanation:

To find the area of Chang's backyard, we can use the formula for an area of a rectangle.

Area = length·width or A = lw

32·21 = 672 sq ft.

To find how many packets of seed he will need to cover the backyard, we can take the area of Chang's yard and divide it by how many square feet each pack of seed covers.

672/12 =  56

Chang will need 56 packs of seeds to cover the backyard.

Answer:

-69q+74

Step-by-step explanation:

Distribute:

80-48q-21q-6

Simplify:

74-69q

Answer:

A = 56 Sq.in

Step-by-step explanation:

A = H x B/2

A = 8 x 14

= 112/2

= 56

THank you!!