Find the length of line segment UV.

Answer:

Jesse eats lunch at 11:45 a.m.

Answer: 9.52cm

Step-by-step explanation:

The data we have is:

Radius = 7cm

Angle of the arc = 1.36 rads

Now, the perimeter of a full circle is equal to:

P = 2*pi*r

Where 2*pi = 6.28 rads

Then the length of an arc of angle A is

P = A*r

then in our case:

P = 1.36*7cm = 9.52cm

Answer:

Step-by-step explanation:

Answer:

$9.75

Step-by-step explanation:

We have all we need to solve for Bag #3.

2 bags equal $6.50.

We want 3 bags, not 4. So we need to divide the original cost by 1/2.

$6.50 divided by 1/2 is $3.25

Now we add an additional $3.25 to the original $6.50

Answer: D

Step-by-step explanation: y int is when x=0, thus when there are no chirps.

Y=(1/6)x + 50

put in 0

Y=(1/6)*0 + 50

Y=50

Slope is the rate at which x changes, in this case, 1/6

Answer:

third one helps to get the median the best measure from centre.

Answer:

The value of a₅ is 1875.

Step-by-step explanation:

Given:

a₁ = 3

aₙ = 5aₙ₋₁

To find the value of a₅, we can apply the recursive formula to compute each term successively:

Step 1: Compute a₂

a₂ = 5a₁ = 5(3) = 15

Step 2: Compute a₃

a₃ = 5a₂ = 5(15) = 75

Step 3: Compute a₄

a₄ = 5a₃ = 5(75) = 375

Step 4: Compute a₅

a₅ = 5a₄ = 5(375) = 1875

Financial plan - The cost of a jug of squeezed orange is $2.00 and the cost of pop is $1.00. These information propose that Sharon is augmenting her utility from the given fixed spending plan

A written financial program offers you a quantifiable objective to strive for. By monitoring your progress, you can eliminate doubt or uncertainty regarding your choices and make necessary adjustments to help you get past potential roadblocks.

Budgeting is the most crucial first step in financial planning. Making a budget is fairly simple; keeping one is more challenging! What matters is having the self-control to take the time as well as care to track and reconcile your spending in some way.

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The standard error represents the average deviation of the sample means from the true population mean. Rounding this value to four decimal places, the standard error of X¯¯¯ is approximtely 0.6500 mpg.

A smaller standard error indicates that the sample means are more likely to be close to the population mean.To calculate the standard error of X¯¯¯, the mean from a random sample of 25 fill-ups by one driver, we can use the formula:

Standard Error (SE) = σ / sqrt(n),

where σ is the standard deviation and n is the sample size.

In this case, the standard deviation (σ) is given as 3.25 mpg, and the sample size (n) is 25.

Plugging in these values into the formula, we have:

SE = 3.25 / sqrt(25).

Calculating the square root of 25, we get:

SE = 3.25 / 5.

Performing the division, we find:

SE ≈ 0.65.

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Answer:

10/48 - 2/24 - 1/12

Step-by-step explanation:

answer is 1/12

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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Answer:

y = x + 60

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line

m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1

the line crosses the y- axis at (0, 60 ) ⇒ c = 60

y = x + 60 ← equation of line

Answer:

We can determine the slope m and the y-intercept of the linear function when the linear equation y = -3/5x -2 is written in slope-intercept form.

Thus, we concluded that:

Step-by-step explanation:

The slope-intercept form of the linear/line function

\(y = mx+b\)

where

Given that the linear function is represented by the equation

\(y\:=\:-\frac{3}{5}x\:-2\)

comparing with the slope-intercept form of the linear/line equation

\(y = mx + b\)

Therefore,

Hence, we can determine the slope m and the y-intercept of the linear function when the linear equation y = -3/5x -2 is written in slope-intercept form.

Thus, we concluded that:

Answer: B. 10:1

Step-by-step explanation:

Portfolio 1 earns $31.77 more than portfolio 2.

To compare the two portfolios, we need to calculate the rate of return (ROR) for each one. To do so, we can use the following formula:

ROR = (gain or loss / initial investment) x 100%

Let's calculate the ROR for each investment in portfolio 1:

Tech Company Stock: 4.63%

Government Bond: -1.87%

Junk Bond: 2.50%

Common Stock: 11.13%

To calculate the overall ROR for portfolio 1, we need to weight each investment by the amount invested. The total initial investment for portfolio 1 is:

= $2,800 + $3,200 + $950 + $1,500

= $8,450

The weighted average ROR for portfolio 1 is:

= (0.463 x $2,800 + (-0.0187) x $3,200 + 0.025 x $950 + 0.1113 x $1,500) / $8,450 x 100%

= 3.12%

Now let's do the same for portfolio 2:

Tech Company Stock: 2.50%

Government Bond: 11.13%

Junk Bond: 4.63%

Common Stock: -1.87%

The total initial investment for portfolio 2 is:

= $1,275 + $2,200 + $865 + $1,700

= $6,040

The weighted average ROR for portfolio 2 is:

= (0.025 x $1,275 + 0.1113 x $2,200 + 0.0463 x $865 + (-0.0187) x $1,700) / $6,040 x 100%

= 3.03%

Therefore, portfolio 1 earns $31.77 more than portfolio 2.

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Answer:

Step-by-step explanation:

At the end of the loan/investment, you can take the accumulated value and subtract that from the principle/PV to get the total interest

The total interest earned can be determined by subtracting the principal from the future value of the loan.

There are two types of interests : simple interest and compound interest.

Compound interest is a type of interest in which the principal and interest already accumulated also earn an interest. While for simple interest it is only the principal that earns interest.

For example, if a loan of $4000 earns 10% interest compounded yearly, the future value of the the amount in 5 years is:

$4000 x (1.1)^5 = 6442.04

The interest earned over the 5 years can be determined by subtracting the  cost of the loan from the future value of the investment

Interest = 6442.04 - $4000 = $2442.04

Another example, if a loan of $4000 earns 10% simple interest, the interest of the loan after 5 years is:

$4000 x 0.1 x 5 = $2000

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The exchange rate that She will receive is an algebraic expression

The exchange rate that Salma will receive in dollars per euro is \(\frac{12x - 9}{4x -6}\)

The amount of dollars with Salma is given as:

\(Dollar = \frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}\)

The amount of Euro she can buy is:

\(Euro = \frac{2x^2 -x-3}{x^2 + 6x +5}\)

Let the exchange rate be r.

So, we have:

\(Dollar * \frac 1r = Euro\)

The equation becomes

\(\frac{12x^2 + 15x - 18}{2x^2 + 14x + 20}* \frac 1r = \frac{2x^2 -x-3}{x^2 + 6x +5}\)

Factorize the expressions

\(\frac{3(x + 2)(4x - 3)}{2(x + 5)(x +2)}* \frac 1r = \frac{(x +1)(2x -3)}{(x + 5)*x + 1)}\)

Cancel out the common factors

\(\frac{3(4x - 3)}{2}* \frac 1r = \frac{(2x -3)}{1}\)

Make r the subject

\(\frac 1r = \frac{2(2x -3)}{3(4x - 3)}\)

Expand

\(\frac 1r = \frac{4x -6}{12x - 9}\)

Make r the subject

\(r = \frac{12x - 9}{4x -6}\)

Hence, the exchange rate is \(\frac{12x - 9}{4x -6}\)

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Answer:

304,900

Step-by-step explanation:

186,000

88,900

304,900

Answer:

275 but that only depends what you are estimating  to if you are estimating to whole numbers then it is 275

Step-by-step explanation:

186.231 the two is lower then four so the eight stays the same

88.941 the nine is above five so it makes the eight go to nine

four and below stay the same and five and above give it a shove

186+89=275

Answer:

greater than or equal

Step-by-step explanation:

Answer:

6/1 is equal to 6.

Step-by-step explanation:

Any number divided by 1 results in the same number. So, 6/1 = 6.

Value of other fractions:
1/6 = 0.166
6/6 = 1
6/10 = 0.6
6/60 = 0.1

Hope it helps ⚜

The rate of change of the function is equal to 3.

A rate of change is the rate at which one quantity changes in relation to another. Rates of change can be positive or negative. This corresponds to a change in the y-value between the two data points. The term zero rates of change refer to a quantity that does not change over time.

The rate of change will be calculated as,

Rate of change = Δy / Δx

Rate of change = ( -7 + 10 ) / ( -3 + 4 )

Rate of change = 3 / 1

The rate of change Δy / Δx is 3.

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Answer:

The price changed by 92.5 %

Step-by-step explanation:

The regular price of lawn mover = 200 dollars

The new selling price = 85 dollars

Change in selling price = 200 -85 dollars = 115 dollars

% change == \(\frac{185}{200} * 100 = 92.5\)

The price changed by 92.5 %

The amount of Duane's first payment that goes to interest is approximately $26.47.

To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.

The formula to calculate the interest portion of a loan payment is:

Interest = Remaining Balance * Monthly Interest Rate.

Let's calculate the interest for the first payment using the given information:

Loan Amount = $5,000.00

Monthly Payment = $118.57

First, we need to calculate the monthly interest rate:

Monthly Interest Rate = Annual Interest Rate / 12

= 6.5% / 12

= 0.00542

Next, we need to calculate the remaining balance after the first payment:

Remaining Balance = Loan Amount - Principal Paid

= $5,000.00 - $118.57

= $4,881.43

Finally, we can calculate the interest portion of the first payment:

Interest = Remaining Balance * Monthly Interest Rate

= $4,881.43 * 0.00542

= $26.47

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To find the limit of a convergent sequence, we can simply take the limit as n approaches infinity. Let's calculate the limits for each of the given sequences:

A. \(\sf\:\lim_{n \to \infty} \frac{5n}{n+7} \\\)

To find the limit, we divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{5n/n}{(n+7)/n} = \frac{5}{1} = 5 \\\)

Therefore, the limit of the sequence A is 5.

B. \(\sf\:\lim_{n \to \infty} \frac{4-7n}{8+n} \\\)

Again, divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{4/n - 7}{8/n + 1} = \frac{0 - 7}{0 + 1} = -7 \\\)

So, the limit of sequence B is -7.

C. \(\sf:\lim_{n \to \infty} \frac{8n - 500\sqrt{n}}{2n + 800\sqrt{n}} \\\)

Divide the leading terms by n:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500\sqrt{n}/n}{2 + 800\sqrt{n}/n} \\\)

As n approaches infinity, the terms involving \(\sf\:\sqrt{n}/n \\\) tend to 0:

\(\sf\:\lim_{n \to \infty} \frac{8 - 500(0)}{2 + 800(0)} = \frac{8}{2} = 4 \\\)

Therefore, the limit of sequence C is 4.

To summarize:

A. The limit of sequence A is 5.

B. The limit of sequence B is -7.

C. The limit of sequence C is 4.

f(a) = f(b) when graph is  Consistent.

What do graph transformations mean?

Changes to the graph of a parent function are referred to as transformations. Transformations may be divided into three categories: translations, reflections, and dilations. There are two types of transformations that may be done to a function: vertical (which affects the y-values) and horizontal (affects the x-values).

Draw the Coordinate plane, that is x y , plane and mark positive and negative natural number on both x and y axis.

⇒Meaning of increasing is, if ,

a > b, then f(a) > F(b)

⇒And, Meaning of decreasing is, if

a > b, then f(a) < f(b).

⇒Meaning of Consistent is

, Either of that is, a > b or a < b,

f(a) = f(b)

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Answer: 2 cents ($0.02)

Step-by-step explanation:

Tropicana: 1.28/8 = $0.16

Sunkist: 1.68/12 = $0.14

$0.16 - $0.14 = $0.02

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

We have,

To solve the integral ∫ (log(1 + x²) / (x + 1)²) dx, we can use the method of substitution.

Let's substitute u = x + 1, which implies du = dx. Making this substitution, the integral becomes:

∫ (log(1 + (u-1)²) / u²) du.

Expanding the numerator, we have:

∫ (log(1 + u² - 2u + 1) / u²) du

= ∫ (log(u² - 2u + 2) / u²) du.

Now, let's split the logarithm using the properties of logarithms:

∫ (log(u² - 2u + 2) - log(u²)) / u² du

= ∫ (log(u² - 2u + 2) / u²) du - ∫ (log(u²) / u²) du.

We can simplify the second integral:

∫ (log(u²) / u²) du = ∫ (2 log(u) / u²) du.

Using the power rule for integration, we can integrate both terms:

∫ (log(u² - 2u + 2) / u²) du = log(u² - 2u + 2) / u - 2 ∫ (log(u) / u³) du.

Now, let's focus on the second integral:

∫ (log(u) / u³) du.

This integral does not have a simple closed-form solution in terms of elementary functions.

It can be expressed in terms of a special function called the logarithmic integral, denoted as Li(x).

Therefore,

The final result of the integral is:

∫ (log(1 + x²) / (x + 1)²) dx = log(x + 1) - 2 (log(x + 1) / x) - 2Li(x) + C,

where Li(x) is the logarithmic integral function and C is the constant of integration.

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The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.

To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:

\((x - h)^2 = 4p(y - k)\)

Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).

Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).

We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.

We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.

Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.

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