In a GP the second and fourth terms are 0.04 and I respectively find the common ratio and the first term​

Answer:

3

Step-by-step explanation:

chain by chain

parllel

series

The measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

In the given diagram, we can see that angle ACD is a right angle, since it is formed by the radius AC and tangent CD at point C.

Therefore, angle BCD is equal to angle ACD, which is 90 degrees.

Since angle BCD is an exterior angle of triangle BCF, it is equal to the sum of the two remote interior angles, which are angles BFC and FCB.

Angle BFC is equal to angle ABC (since they are opposite angles), which is 60 degrees.

Similarly, angle FCB is equal to angle ACF, which is also 60 degrees.

Therefore, angle BCD is equal to angle BFC + angle FCB, which is 60 + 60 = 120 degrees.

Now, since arc CD is subtended by angle BCD, its measure is also equal to 120 degrees.

Hence, the measure of arc CD is 120 degrees.

Similarly, angles ACF and FCB are opposite angles in the cyclic quadrilateral AFCB, so they are supplementary. Therefore, angle FCB is equal to 180 - angle ACF,

Which is also 180 - 60 = 120 degrees.

Now we can apply the exterior angle theorem to find the measure of angle BCD. We have:

angle BCD = angle BFC + angle FCB

= 120 + 120

= 240 degrees

Finally, we can conclude that the measure of arc CD is equal to the measure of angle BCD, which is 240 degrees.

For similar question on measure of angle :

https://brainly.com/question/31186705

#SPJ11

Answer:

24/4/-a+12=/9d

Step-by-step explanation:

Answer:

  44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

  ((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

  (3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

  Δx(x -h) +Δy(y -k) = 0

  5.5(x -0.25) +7(y -1.5) = 0

  5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

  44x +56y = 95 . . . . equation of the perpendicular bisector

Answer:

x2 + y2 = r2, and this is the equation of a circle of radius r whose center is the origin O(0, 0). The equation of a circle of radius r and center the origin is x2 + y2 = r2.

I think this is the answer.

The value of the current assets is $44500.

Plants asset = $27000

Equity = $81000

The value of the current asset will be:

Cash $7,500

Prepaid Rent $12,000

Accounts Receivable $6,000

Merchandise Inventory $19,000,

Current asset = $44500

Plant assets will be:

Land $16,000

Building $11,000.

Plant asset = $16000 + $11000 = $27000

Stockholders equity will be:

Common stock = $30000

Retained earnings = $51000

Equity = $81000

Learn more about asset on:

brainly.com/question/19440080

#SPJ1

What I understand you saying is you can't find the Ad Pop-up. But is this is a bad thing? No. It will speed up the process of you finishing your homework and you won't get stressed!

Hint: If you have an ad, you can skip to end so it will be faster.

Answer:

1) The normal distribution should be used for the sample mean because the population distribution is known to be normal (answer b).

2) C. H0: mu = 519, H_1: mu not equal to 519, reject if z> 1.96 or z< -1.96.

3) Yes. There is enough evidence to support the claim that the true mean is not 519 ml.

Step-by-step explanation:

1) When the population follows a normal distribution, it is correct to assume a normal distribution for the sample mean.

2) As it is a two-tailed decision rule, we are interested in detecting a significant difference below and above the mean. This is why we use the unequal sign in the alternative hypothesis.

The null hypothesis state that there is not significant difference from 519.

The critical value for a significance level of 5% is z=1.96.

\(H_0: \mu=519\\\\H_a:\mu\neq 519\)

3) The claim is that the true mean is not 519 ml.

Then, the null and alternative hypothesis are:

\(H_0: \mu=519\\\\H_a:\mu\neq 519\)

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=522.

The standard deviation of the population is known and has a value of σ=6.

We can calculate the standard error as:

\(\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{16}}=1.5\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{M-\mu}{\sigma_M}=\dfrac{522-519}{1.5}=\dfrac{3}{1.5}=2\)

This test is a two-tailed test, so the P-value for this test is calculated as:

\(\text{P-value}=2\cdot P(z>2)=0.046\)

As the P-value (0.046) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the true mean is not 519 ml.

In the proportion , in  1 second the position of kite is C)19 feet.

What is proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

Here in 3 seconds a kite's position = 57 feet.

Then , in 1 second  a kite's position = x feet.

Now using proportion then,

=> 3 seconds = 57

    1 second   = x

=> x =  57/3 = 19 feet.

Hence In 1 second the position of kite is C)19 feet.

To learn more about proportion refer the below link

https://brainly.com/question/13604758

#SPJ1

The formula for a curve grade is based on a normal distribution with the average score being 0.

The formula for each grade is as follows:

A-grade: S + 20

B-grade: S + 10S< + 20

C-grade: S - 10S< + 20

D-grade: S - 20

F-grade: S < 0

The formula  is based on a normal distribution with the average score being 0.

For example, if the average score is 50 and your score is 55, then you would receive an A-grade because your score is 5 points above the average. This can be calculated by adding 20 points to your score of 55 resulting in a grade of\(75 (55 + 20 = 75)\). Similarly, if your score is 40, then you would receive a C-grade because your score is 10 points below the average. This can be calculated by subtracting 10 points from your score of 40 resulting in a grade of 30 (40 - 10 = 30).

Learn more about normal distribution here:

https://brainly.com/question/29509087

#SPJ4

We can find x by translating the angle with measure 120 degrees from line l1 to its corresponding angle at line l2.

Then, the angle that is supplementary to 120 degrees is inside the triangle and will have a measure of 180-120=60.

Then, we can use the fact that the sum of the measures of the interior angles of a triangle is equal to 180 degrees.

Then, we can find x as:

Answer: x = 30º

To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).

So, -2 - x simplifies to -2x - 2.

Let's simplify the expression -2 - x step by step:

Step 1: Start with the given expression: -2 - x.

Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).

Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.

Therefore, the simplified expression is -2x.

In summary, -2 - x simplifies to -2x.

For more such question on variable

https://brainly.com/question/28248724

#SPJ8

Answer: 2/5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Okay, so you need to create an equation which shows that twice the sum of a number (n) and 7 is 3 times that number. So you need twice the sum of n + 7 and that will equal 3 times n.

2(n + 7) = 3n

Now, multiply

2n + 14 = 3n

2n + 14 -2n = 3n - 2n

14 = n

So the number is 14. Now you can check your answer

2(14 + 7) = 3(14)

2x21 = 42

42 = 42

Answer: bottom right

we have

answer is -7

Answer: Hello Luv......

Factor the numerator and denominator and cancel the common factors.

−2x2+4x−8

Step-by-step explanation:

Hope this helps. Mark me brainest please.

Anna ♥

Answer:

\( = \frac{( - 4 {x}^{3} + 8 {x}^{2} - 16x) }{2x} \\ = \frac{ - 4 {x}^{3} }{2x} + \frac{8 {x}^{2} }{2x} - \frac{16x}{2x} \\ = - 2 {x}^{2} + 4x - 8\)

Answer:

Volume is when you are finding the space inside of a 3D figure, and surface area is when you are finding the area of the surface(s) of a figure.

Hope this helps :)

Answer:

I answered your duplicate question. Make sure to check out the answer, and I hope it helps!

The equation of the line in slope-intercept form is y = (2 / 7)x - 2.

To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept of the line using the given points.

The slope of a line can be calculated using the formula:

slope = (y2 - y1) / (x2 - x1),

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Using the given points (-7, -4) and (7, 0), we can calculate the slope:

slope = (0 - (-4)) / (7 - (-7)) = 4 / 14 = 2 / 7.

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1),

where (x1, y1) is a point on the line and m is the slope.

Let's use the point (7, 0):

y - 0 = (2 / 7)(x - 7).

To simplify, we have:

y = (2 / 7)(x - 7).

Therefore, the equation of the line in slope-intercept form is y = (2 / 7)x - 2.

For more such answers on slope-intercept

https://brainly.com/question/1884491

#SPJ8

The equation of the line passing through the given points in slope-intercept form is y = (2/7)x - 2.

To write the equation of a line in slope-intercept form, we need to use the formula y = mx + b, where m is the slope and b is the y-intercept. First, let's calculate the slope using the given points.

Slope (m) = (y2 - y1) / (x2 - x1)

Slope (m) = (0 - (-4)) / (7 - (-7)) = 4/14 = 2/7

Now that we have the slope, we can choose any of the two given points to find the y-intercept. Using the point (7, 0):

0 = (2/7)(7) + b

b = 0 - 2 = -2

Therefore, the equation of the line in slope-intercept form is y = (2/7)x - 2.

Learn more about Equation of a line here:

https://brainly.com/question/33578579

#SPJ2

(a)  75% stocks of B is large tree diagram is given below

(b) Probability of a tin chosen at random from the stock will be a small size is 29%.

(c) Probability of a small tin chosen at random from the stock will be of brand A is 51.7%.

(a) \(A = \frac{60}{40} = 150\%\)

\(B = 60\%\)

\(S_A = 25/35 = 71.42\%\)

\(S_B = 25\%\)

\(L_A = 75/65 = 115\%\)

\(L_B = 75\%\)

Refer attached, for tree diagram.

(b) \(P(S) = P(A) \times P(S_A) \times P(B) \times P(S_B)\)

\(= 60\% \times 25\% \times 40\% \times 35\%\)

\(= 29\%\)

(c) \(P(A|S) = \frac{P(A) \times P(S_A)}{P(S)}\)

\(= \frac{60\% \times 25\%}{29\%}\)

\(= 51.7 \%\)

To learn more about Probability, visit: https://brainly.com/question/30034780

#SPJ4

Answer:

660 ft³

Step-by-step explanation:

The way I'm thinking of it, we can think of it as a triangle and then extruding out from that triangle for the length.

First, the triangle:

area = base * width / 2 = 12 * 10 / 2 = 60 ft²

volume = the triangle for the length

the length is 11 feet,

so we extrude that triangle for 11 feet to get

60 ft² * 11 ft = 660 ft³

we multiply 10 ft by 12 ft by 11 ft. there are 3 instances of ft, so the corresponding exponent is therefore ³.

another way to think of the extrusion is like a rectangular prism, the formula for a rectangular prism's volume is length * width * height. we're extruding from the bottom rectangle for the whole of the height, so we multiply the area of the bottom triangle (length * width) by height.

this might be confusing so let me know if you have any questions!

Answer:

i m not sure... whether it's correct or not......

bt I tried my best

Answer:

3.25

Step-by-step explanation:

2 power - 2 is 1/4 add that to 3 gives 3.25

Answer:

\(\huge\boxed{\sf f(-2) = 3.25}\)

Step-by-step explanation:

Given function is:

\(f(x) =2^x+3\)

Put x = -2

\(\displaystyle f(-2) = 2^{-2}+3\\\\f(-2) = \frac{1}{2^2} + 3\\\\f(-2) = \frac{1}{4} + 3\\\\f(-2) = 0.25+3\\\\f(-2) = 3.25\\\\\rule[225]{225}{2}\)

Hope this helped!

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

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

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

Read more about triangle at

brainly.com/question/4372174

#SPJ1

the population of Bolivia in 2030, if it continues to grow at a rate of 1.6% continuously, will be approximately 14.45 million.

To solve this problem, we need to use the formula for continuous compounding, which is:

\(A = Pe^(rt)\)

Where:

A = the final amount

P = the initial amount

r = the annual growth rate (as a decimal)

t = the number of years

We know that Bolivia had a population of 10.5 million in 2010 and a growth rate of 1.6%, or 0.016 as a decimal. We want to find the population in 2030, which is 20 years after 2010.

So, we plug in the values into the formula:

\(A = 10.5 million * e^(0.016 * 20)\)

Using a calculator, we get:

\(A = 10.5 million * e^(0.32)\)

A = 10.5 million * 1.3775

A = 14.45 million

Therefore, the population of Bolivia in 2030, if it continues to grow at a rate of 1.6% continuously, will be approximately 14.45 million.

Continuous compounding is a mathematical concept used to calculate the growth of a quantity that grows at a constant rate over time. It is different from simple interest, which is calculated based on a fixed rate over a certain period of time. In continuous compounding, the growth rate is applied infinitely many times over an infinite time period, resulting in exponential growth. The formula we used is a standard formula for continuous compounding, and it can be used to calculate the growth of various quantities, such as population, money, or investments.

To know more about continuous compounding click here:

brainly.com/question/30460031

#SPJ1

The solution to the equation -2(x + 3) = -6 is x = 0.

To simplify the expression 5t + 7 + 8b, we can combine like terms.

There are two like terms in the expression: 5t and 8b.

Combining the like terms gives us:

5t + 8b + 7

Therefore, the simplified form of the expression 5t + 7 + 8b is 5t + 8b + 7.

Regarding the equation -2(x + 3) = -6:

To solve this equation, we can follow these steps:

Distribute the -2 to the terms inside the parentheses:

-2 * x + (-2) * 3 = -6

This simplifies to:

-2x - 6 = -6

Move the constant term to the right side by adding 6 to both sides of the equation:

-2x = 0

Divide both sides of the equation by -2 to isolate the variable x:

x = 0 / -2

Simplifying the right side of the equation gives us:

x = 0

The solution to the equation -2(x + 3) = -6 is x = 0.

The simplified expression 5t + 7 + 8b remains as 5t + 8b + 7, and the solution to the equation -2(x + 3) = -6 is x = 0.

For more questions on equation

https://brainly.com/question/17145398

#SPJ8

Answer: the answer is c: 5x+2y+z

Step-by-step explanation: There are 5 x's 2 y's and 1 z so you add all of them up to get the answer for your expression