the angles of a quadrilateral are in the ratio 2:3:4:6. find the measure of the angles.

We can say about the parabola given a focus of (-8, 1) and a directrix of y = -1 is as:

A parabola refers to the shape that traces the equation of the form ax² + bx + c.

A parabola's directrix is a vertical or horizontal line that never contacts the parabola and is located at p distance from the vertex and 2p distance from the focus.

The parabola created when the directrix is on the y coordinate called a vertical parabola.

If the directrix value is greater than the corresponding focus or vertex, there will be a negative p and the parabola will face downhill.

If the directrix value is less than the corresponding focus or vertex, there will be positive p and the parabola will face up.

From the given definition of the directrix, we can find the value of p;

2p = y coordinate of focus - equation of the directrix

2p = 1 - (-1)

2p = 2

p = 1

Vertex, v(h, k) compared with f(h, k + p), we will get;

k + p = 1

k = 0

Therefore, the vertex is (-8, 0).

Thus, we can say about the parabola given a focus of (-8, 1) and a directrix of y = -1 is as:

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The radius of convergence of the given series can be found using the ratio test. The ratio test states that if lim |an+1/an| = L, then the series converges absolutely if L < 1 and diverges if L > 1. If L = 1, the test is inconclusive.

Applying the ratio test to the given series, we have:

=lim \(|((n+1)!)^k * 2 * ((k^2)(n+1))! * x^(n+1)| / |(n!)^k * 2 * ((k^2)n)! * x^n|\)

= lim \(|(n+1) * 2 * (k^2)(n+1) * x| / (k^2 * (n+1) + k^2n)\)

= lim\(|2x(k^2)(n+1)| / (k^2(n+1) + k^2n)\)

= lim\(|2x(k^2)| / k^2\)

= 2|x|

Therefore, the series converges absolutely if 2|x| < 1, or |x| < \(\frac{1}{2k^2.}\) Thus, the radius of convergence is r = \(\frac{1}{2k^2}\). In summary, the radius of convergence of the given series [infinity] (n!)k 2 ((k 2)n)! xn n = 0 is r =\(\frac{1}{2k^2.}\), which can be found using the ratio test.

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Answer:

mark me as a brainlist then I will answer

The McMichael paid cost per ticket of $12.5 to see sing 2

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

Let x represent the cost of each ticket.

Every ticket costs the same price and they spend a total of $100. 8 people attended, hence:

8 * x = 100

8x = 100

Dividing both sides of the equation by 8:

8x / 8 = 100 / 8

x = 12.5

The cost per ticket was $12.5

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Answer:

3588

Step-by-step explanation:

that's it no Problem

Answer:

Below

Step-by-step explanation:

1:50000  means 1 cm on the map is 50 000 cm in the real world

 so   1 cm on the map = 500 m   in the real world   (100cm = 1m)

           500 m IS  .5 km      

                so 1 cm on the map =  .5  km  

Answer:   1 cm

Step-by-step explanation: convert 50000 cm into km. This will give you 0.5 km. This means that 1 cm represents 0.5km

Answer:

y= 4x-9

Step-by-step explanation:

The table is filled as follows

x    P(x)   x P(x)   (x - μ)²

3    3       9          961

4    7      28         900

5   22    110         841

6   60    360       784

7   85    595       729

8   32    256       676

9   8      72          625

mean, μ = 34.05

variance = 919.33

standard deviation = 30.32

The mean is calculated using the information provided as follows

= summation of (x P(x) ) / summation of x

= 1430 / 42

=34

The variance is solved by the formula

= summation of (x - μ)² / (n - 1), where n = 7

= 5516 / (7 - 1)

= 5516 / 6

= 919.33

the standard deviation is solved using the formula

= √variance

= √919.33

= 30.32

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Answer:

d = √389

Step-by-step explanation:

to find c we use 15 and 8 into the formula of "a^2 + b^2 = c^2" which is 17. Now we use 17 and 10 as a and b to find c in the formula which is d.

a^2 + b^2 = c^2

10^2 + 17^2 = x^2

100 + 289 = x^2

389 = x^2

√389 = √x^2

√389 = x

Answer:

The age distribution of a population is shown.

a. The probability that a person chosen at random is at least 15 years old is 14%

b. The probability that a person chosen at random is 25 - 44 years old is 26%

The probability that a person chosen at random is at least 15 years is 80%

The probability that a person chosen at random is 25 - 44 years old is 26%

Probability determines how likely it is that a stated event would occur. This probability lies between 0 and 1.

The probability that a person chosen at random is at least 15 years = sum of percentages of people at least 15 years old : 14 + 13 + 13 + 15 + 12 + 13 = 80%

The probability that a person chosen at random is 25 - 44 years old : 13% + 13% = 26%

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Answer:

125 ml

Step-by-step explanation:

250 ml is required to make 8 pancakes, so in order to make half as many pancakes, you will need half as much milk.

250 ÷ 2 = 125

Answer:

2.490

Step-by-step explanation:

It is over the half point so, if it's over round up. if not, round down.

Answer:

f(x)=2499(0.079)

Step-by-step explanation:

Answer:

174 square inches

Step-by-step explanation:

5 times 3 is 15, multiply 15 by two. We get 30. Keep this in mind. Now, multiply 9 by 3. This is 27. Multiply 27 by two to get 54. Also keep this in mind. Now, multiply 5 by 9 to get 45. Multiply 45 by 2 to get 90. Now, add all of the bold numbers together to get your answer.

30+90+54

120+54

174

To use long division in polynomials, we follow steps similar to normal long division, but we look for the terms from higher degree to lower.

We are dividing:

By:

We want to multiply the divisor by some expression that will make the higher term equal to the higher term of the dividend. The higher term of the dividend is 4x³, to get to that, we can multiply the divisor by 2x²:

Now we have the same term, so we just substract what we have got from the dividend:

Notice that we don't have a third degree term anymore.

So, until now we have done:

- Multiplied the divisor by 2x²

- Got a remainder of -5x² + 3

Now, we just repeat with the remainder.

We want to multiply 2x - 1 so that the higher term is -5x², so we can multiply by -5x/2:

And we do the substraction:

So, now we have got:

- Multiplied the divisor by 2x² and then by -5x/2

- Got a remainder of -5x/2 + 3

Now, we repeat once more:

To get -5x/2, we multiply the divisor by -5/4:

And we substract from the remainder:

So, we have done:

- Multiplied the divisor by 2x² then -5x/2 then -5/4

- Got a remainder of 7/4

This means that th result of the division is:

And the remainder is:

But, the answer wants us to write what the dividend is equal to.

Let's write first in the division form:

Notice that we result is the quotient plus the remainder divided by the divisor.

If we multiply both sides by the divisor, we will get:

That is the answer.

Answer:

first quarter

Step-by-step explanation:

Answer:

None of the answers are right the answer is 15

Step-by-step explanation:

25 plus 1 equals 26, and 26 minus 14 equals 12, and 12 plus 3 equals 15, so I don't think that any of the answers are correct.

Answer:

The answer is 15 (none on option)

Step-by-step explanation:

25+1-14+3

= (25+1+3)-14

= (26+3)-14

= 29-14

= 15

The amount of money that one peach would cost is $1.2.

Generally speaking, a unit price can be defined as the price that is being charged by a seller for the sale of a single unit of product.

In order to determine the unit price, we would determine the unit price for number of peaches by using the following mathematical expression;

Unit price = Cost of peaches/Number of peaches

Substituting the given parameters into the unit price formula, we have the following;

Unit price = $6/5

Unit price = $1.2.

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Answer:

1. C o m p l e x

2. C o n v e x

3. A p p e n d i x

4. P a r a l l a x

5. E q u i n o x

6. C h a t t e r b o x

7. I n f l u x

8. A n t i c l i m a x

9. L a r y n x

10. C r u c i f i x

Answer:

Step-by-step explanation:

where is the full question????

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

48.72

Step-by-step explanation:

your old value =42

your new value = let it be x

your original percentage =100percent

your new percentage:100+16

=116percent

old. new

value. 42. x

percentage 100. 116

cross multiply :x multiply by 100=42 multiplyby 116

100x=42x116

x=42x116/100

x=48.72

So, your increased value is 48.72

Answer:

54 3⁄10 = 543/10 in

Step-by-step explanation:

Answer:

180 degrees

Step-by-step explanation:

if it was to be 270 degrees the the image should be formed opposite to triangle A'B'C'

If it was to be 360 degrees the image should be back to original triangle and if it was 90 degrees the triangle should be triangle A'B'C'

This value represents the present worth below which the probability is 0.5, indicating a negative present worth.

To estimate the probability that the present worth is negative using the NORM.INV function in Excel,

we need to calculate the present worth of the project and then determine the corresponding probability using the normal distribution.

The present worth of the project can be calculated by finding the sum of the present values of the annual receipts over the 10-year period, minus the initial investment. The present value of each annual receipt can be calculated by discounting it back to the present using the minimum attractive rate of return (MARR).

Using the given information, the present value of the initial investment is $10,000. The present value of each annual receipt is calculated by dividing the expected return of $1,800 by \((1+MARR)^t\),

where t is the year. We then sum up these present values for each year.

We can use the NORM.INV function in Excel to estimate the probability of a negative present worth. The function requires the probability value, mean, and standard deviation as inputs.

Since we have a mean and standard deviation for the present worth,

we can calculate the corresponding probability of a negative present worth using NORM.INV.

This value represents the present worth below which the probability is 0.5. By using the NORM.INV function,

we can estimate the probability that the present worth is negative based on the given data and assumptions.

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Answer:

show more of the pict i can't tell what it is

Answer:

a=9

b=15

Step-by-step explanation:

Well the area formula of a trapezoid is: \(\frac{a+b}{2} *h\)

\(\frac{a+b}{2} *4=48\)

Divide both sides by 4

\(\frac{a+b}{2} =12\)

Multiply both sides by 2

a+b=24

Now since one of the sides (b) is 6 inches longer than a, we get;

a+a+6=24

Subtract 6 from both sides

2a=18

Divide both sides by 2

a=9

b=9+6=15

Answer:

use midpoint formula

(5,-1)

3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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