Can someone help me with this umm math thingy

Segment CP is tangent to circle C at point B.

How to prove that the line is tangent to a circle?

Draw circle C with center at point A and radius AD = CD = DE.

Draw point P outside the circle C.

Draw segment AP and extend it to intersect the circle at point B.

Draw segment BD.

Draw segment CP.

Note that triangle BCD is isosceles, since CD = BD. Therefore, angle BDC = angle CBD.

Since angle BDC is an inscribed angle that intercepts arc BC, and angle CBD is an angle that intercepts the same arc, then angle BDC = angle CBD = 1/2(arc BC).

Since CD = DE, then angle CED = angle CDE. Therefore, angle DCE = 1/2(arc BC).

Since angles BDC and DCE are equal, then angles BDC and CBD are also equal, and triangle BPC is isosceles. Therefore, segment BP = segment PC.

Since BP = PC, then segment CP is perpendicular to segment BD, by the Converse of the Perpendicular Bisector Theorem.

Therefore, segment CP is tangent to circle C at point B.

Hence, the proof is complete.

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Explanation:

x = number of boys

The ratio of girls to boys is 4:1, meaning there are 4 times as many girls compared to boys. For example, the concert may have 40 girls and 10 boys.

For now, x is some unknown positive whole number. But we can say that 4x represents the number of girls, as we multiply by 4.

----------

We're told there are 75 more girls than boys, so,

number of girls = (number of boys) + 75

4x = x + 75

4x-x = 75

3x = 75

x = 75/3

x = 25

There are 25 boys and 4x = 4*25 = 100 girls.

We can see that 100-25 = 75 to show that there are 75 more girls compared to boys.

And also, the ratio 100:25 reduces fully to 4:1 after dividing both parts by the GCF 25. These two facts fully confirm the answers.

The odds of accomplishing both are computed as (12/52)*(11/51), or little less than 5%, as the product of the two distinct likelihood (1 in 20).

The probability that an event will occur, or a claim will be true, is measured by probability theory, a branch of mathematics. The probability of an occurrence is a number between 0 and 1, where about 0 represents how likely the event is to occur and 1 represents certainty.

A probability is a numerical illustration of the possibility that a specific occurrence will take place. Probabilities can also be expressed as percentages ranging from 0% to 100% or from 0 to 1.

The proportion of instances in a whole set of equally likely alternatives that lead to a certain instance relative to all possible outcomes.

There are 12 face cards in a standard 52-card deck, including four Jacks, four Queens, and four Kings. As a result, the initial draw's odds are 12/52.

Therefore, The product of the two distinct probability calculations yields odds of attaining both of them as (12/52)*(11/51), or little less than 5%. (1 in 20).

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Answer:

k = -3

Step-by-step explanation:

Generally, we determine k by observing

the vertical translation of the original graph

in this case it’s the graph of f

and count the number of units by which it’s translated.

Checking the sign of k :

If the graph is translated up then k > 0

If the graph is translated down then k < 0

……………………………………………………………………

in order to get the graph of g ,the graph of f

is translated 3 units vertically but down

then

k = -3

The time it will be until the value of the car is 2700 dollars is, 14 years.

We have,

A new car is purchased for 15600 dollars. The value of the car depreciates at 12. 25% per year.

To find the time it will be until the value of the car is 2700 dollars , we used the formula,

A = P (1 - r%)ⁿ

Here, A = 2700 dollars

P = 15600 dollars

r = 12.25% = 0.1225

Substitute all the values, we get;

2700 = 15600 (1 - 0.1225)ⁿ

0.17 = (0.88)ⁿ

Take log both side,

log 0.17 = n log 0.88

- 0.77 = n x - 0.056

n = 0.77 / 0.056

n = 13.75

n = 14 years

Therefore, the time it will be until the value of the car is 2700 dollars is, 14 years.

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Answer:

0.66 cups of cranberry juice is needed to make 1 gallon of punch

Step-by-step explanation:

2 / 3 = 0.66

i hope this helped! have a wonderful rest of your day :)

The equation of the straight line is y = -2x - 4, the value of x₁ is -1 and the value of y₁ is -2.

To find the equation of a straight line given its slope and one point, we use the point-slope form of the equation:

−y − y₁​ = m(x−x₁ )

where m is the slope of the line, and (x₁, y₁) is the given point.

In this case, m = -2 and the point is (-1, -2). So we have:

x₁ = -1

y₁ = -2

m = -2

Substituting these values into the point-slope form, we get:

y−(−2)=−2(x−(−1))

Simplifying and rearranging terms, we get the equation of the line:

y + 2 = -2x - 2

y = -2x - 4

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Answer:

(B) V = 8 x 6 x 3

Step-by-step explanation:

The formula to find the volume of a rectangular prism is, V = Length x Width x Height cubic units.

V = 8 x 6 x 3 cm 3.

V = 192 cm 3.

Brainliest?!

Answer:

A

Step-by-step explanation:

Edge 2021

The greatest length is 5 cm.

solving this we will get the valve of Y if x is given.

y=1/20 X²

let x=10 ( the largest dimension of the pendant is 10 cm wide)

  y=1/20 *(10)²

 y=1/20 *100

 y= 5 cm   (answer)

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Answer:

False

If we wanted to solve this equation, we can use this expression:

Maria must have spent $5.93, making her statement false.

Answer:

I think it's the first or third

Answer:

5/18

Step-by-step explanation:

So the total is 5/9 yard of ribbon, cut it in half means dividing it into 2

5/9 ÷ 2 = 5/9 * 1/2 = 5/18

Answer:  B) as x → -5  from the left, y → -∞

                    as x → -5 from the right, y → +∞

Step-by-step explanation:

\(g(x) =\dfrac{x^2+15x+56}{x+5}\quad =\dfrac{(x+7)(x+8)}{x+5}\\\\\\\text{Evaluate from the left. Let x = -6}\rightarrow \dfrac{(-)(-)}{(-)}=-\\\\\\\text{Evaluate from the right. Let x = -4}\rightarrow \dfrac{(-)(-)}{(+)}=+\)

Refer to the graph which confirms that

Answers did you ever get this awnser??

Step-by-step explanation:

Percentage decrease is 17.29 .

Given :

In 2006, 65.2 million people subscribed to cable television.

In 2013, that number had decreased to 54.2 million.

To Find :

The percent decrease in the number of cable TV subscribers from 2006 to 2013.

So,

Decrease in the number of cable TV subscribers from 2006 to 2013 is :

Percentage decrease = Decrease in subscribers / initial subscribers * 100

% decrease = 63.6 - 52.6 / 63.6 * 100

% decrease = 17.29

Hence the percentage decrement in the tv subscribers are 17.29 .

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Step-by-step explanation:

the 2 and the t were combined when they weren't like terms, combined your like terms first and then answer

The example of the simple interest problem is: What will be the simple interest on $2500 invested at an interest rate of 6% for 2 years?

What is simple interest?

Calculating the amount of interest that will be owed on a sum of money at a certain rate and for a specific period of time is possible using simple interest. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.

Solution for the above problem is:

The formula to calculate simple interest is:

\(S.I. = P \times I \times T\)

Here, S.I. is simple interest, P = principal amount, I = interest rate, T = time

Given in the question:

P = $2500

I = 6% = 0.06 (in decimals)

T = 2

Putting the value in the question:

S.I. = 2500(0.06)(2)

S.I. = 300

Therefore, the simple interest is $300.

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Answer:

The letter E

The ratio of red to yellow pots of flowers in three different ways are

16 : 12, 8 : 6, and 4 : 3

As per the given data Sylvia while walking with her dog, she noticed that the 32 houses had a pot of red flowers on their front step.

Also, 24 houses had a pot of red flowers on their front step.

Here we have to determine that the ratio of red pots of flowers to yellow pots of flowers in three different ways.

The three different ways will be part a part b and part c.

The ratio of red to yellow pots of flowers.

32 : 24

Simplify the above ratio.

16 : 12

Also, we have to simplify further.

We get:

8 : 6

Then:

4 : 3

Therefore the ratios are 16 : 12, 8 : 6, and 4 : 3

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The inequality that represents the possible rates is x - 10 ≥ 24.

The inequality that represents the possible rates is x - 10 ≥ 24.
To find the possible rates, we need to consider the average speed of the boat for the entire trip. The first leg of the trip is traveling at a rate of x mph. On the return route, the boat travels against the current, which decreases its rate by 10 mph.
To calculate the average speed, we can add the two rates (x mph and x - 10 mph) and divide by 2.
(x + (x - 10))/2 ≥ 24
Simplifying the equation, we get:
(2x - 10)/2 ≥ 24
2x - 10 ≥ 48
Adding 10 to both sides, we get:
2x ≥ 58
Dividing by 2, we find:
x ≥ 29
Therefore, the inequality that represents the possible rates is x - 10 ≥ 24.

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Answer:

You move vertically by -1 units

Step-by-step explanation:

The slope is rise over run.

This slope means you go down 1 unit as you go to the right 3 units

This is a graph with a negative slope, so it comes from the top left to the bottom right.

-Chetan K

\(\huge\fbox{Hello\:there!}\)

Remember, one of the ways we can find the slope is

\(\rm\displaystyle\frac{Rise}{Run}\)

Where

\(\rm{\underline{Rise}}\) is the amount of units we move up or down (vertically)

\(\rm{Run\) is the amount of units we move left or right (horizontally)

So, given the slope

\(\displaystyle-\frac{1}{3}\)

how many units do we move vertically?

Let's look at the slope.

As we can see, the Rise is -1. (Answer)

Thus, we move

-1 units vertically. (1 unit down)

Hope it helps you.

~Just a felicitous teen willing to help

#HaveANiceDay

\(\bf{-MistySparkles^**^*\)

Answer:

x = 9

Step-by-step explanation:

Answer:

S(t) = 10 - 0.5t

Step-by-step explanation:

initial depth of snow = 10 inches

melting rate =  0.5 inches per hour

it means that, in one hour snow depth will decrease by 0.5 inches

thus , in t hours  snow depth will decrease by 0.5*t = 0.5t inches

Thus, depth of snow after t hours can be calculated by

we will take initial depth of snow and them subtract the depth of snow which melted in t hours.

we are subtracting as snow is melting and will thus decrease the depth of snow

depth of snow after t hours can = initial depth of snow - decrease of the depth of snow after snow melts for t hours

depth of snow after t hours can = 10 inches - 0.5t inches

                                                       =  (10 - 0.5t )inches

Thus ,S(t), representing the depth of snow on Mason's lawn, in inches, t hours after the snow stopped falling is S(t) = 10 - 0.5t

The integral ∫[0 to 1] x² dx evaluates to 1/3.

To evaluate this integral, we can use the power rule for integration. Applying the power rule, we increase the power of x by 1 and divide by the new power. Thus, integrating x² gives us (1/3)x³.

To evaluate the definite integral from x = 0 to x = 1, we substitute the upper limit (1) into the antiderivative and subtract the result when the lower limit (0) is substituted.

Using the Fundamental Theorem of Calculus, the area under the curve is given by the expression A = ∫[0 to 1] f(x) dx. For this case, f(x) = x².

To approximate the area using right endpoints, we can use a Riemann sum. Dividing the interval [0, 1] into subintervals and taking the right endpoint of each subinterval, the Riemann sum can be expressed as lim[n→∞] Σ[i=1 to n] f(xᵢ*)Δx, where f(xᵢ*) is the value of the function at the right endpoint of the i-th subinterval and Δx is the width of each subinterval.

In this specific case, since the function f(x) = x² is an increasing function on the interval [0, 1], the right endpoints of the subintervals will be f(x) values.

Therefore, the area under the curve from x = 0 to x = 1 can be expressed as lim[n→∞] Σ[i=1 to n] (xi*)²Δx, where Δx is the width of each subinterval and xi* represents the right endpoint of each subinterval.

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The correlation coefficient can take values between -1 and 1, inclusive. A correlation coefficient of -1 indicates negative correlation and 1  indicates positive correlation.

A correlation coefficient of -1 indicates a perfect negative correlation, meaning that as the values of one variable increase, the values of the other variable decrease. A correlation coefficient of 1 indicates a perfect positive correlation, meaning that as the values of one variable increase, the values of the other variable also increase.

A correlation coefficient of 0 indicates no correlation, meaning that there is no relationship between the two variables. Correlation coefficients can take any value between -1 and 1, inclusive, including fractional and decimal values.

Positive values indicate positive correlation, negative values indicate negative correlation, and values close to 0 indicate little or no correlation. The magnitude of the correlation coefficient indicates the strength of the relationship between the two variables.

The closer the coefficient is to 1 or -1, the stronger the relationship between the variables.

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The value of 2a₃ - 3b₃ is -29/3.

To find the value of 2a₃ - 3b₃, we shall find the third term of the arithmetic sequence and the third term of the geometric sequence.

Firstly, the third term of the arithmetic sequence:

We shall first determine the common difference (d) - the value that is constant, added to each term to get the next term.

Given:

a₁ = 3

a₂ = -1

The common difference (d):

d = a₂ - a₁

d = -1 - 3

d = -4

Next, the third term of the arithmetic sequence (a₃):

a₃ = a₂ + d

a₃ = -1 + (-4)

a₃ = -5

Secondly, the third term of the geometric sequence:

Here, we can get each term by multiplying the previous term by a common ratio (r).

Given:

a₁ = 3

a₂ = -1

The common ratio (r):

r = a₂ / a₁

r = -1 / 3

Then, the third term of the geometric sequence (b₃):

b₃ = a₂ * r²

b₃ = -1 * (-1/3)²

b₃ = -1 * (1/9)

b₃ = -1/9

Finally, we find the value of 2a₃ - 3b₃:

2a₃ - 3b₃ = 2(-5) - 3(-1/9)

2a₃ - 3b₃ = -10 + 3/9

2a₃ - 3b₃ = -10 + 1/3

2a₃ - 3b₃ = -30/3 + 1/3

2a₃ - 3b₃ = -29/3

Therefore, the value of 2a₃ - 3b₃ is -29/3.

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Question completion:

Your question is incomplete, but most probably your full question is:

The first two terms of a sequence are a₁ = 3 and a₂=-1. Let a₃ be the third term when the sequence is arithmetic and let b₃ be the third term when the sequence is geometric. What is the value of 2a₃-3b₃?

Answer:

4 1/4 lbs of onions = 1llb so there are 4 x 3 servings = 12 servings in 1 lb 6 servings in 1/2 lb total of 12+6= 18 servings you can also use ratio and proportion converted to decimals to eliminate fractions ,25/3= 1.5/x cross multiply .25x= 4.5 x=18 hope this helps

Step-by-step explanation:

Answer:

Step-by-step explanation:

are u on russian math?

The sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly is $2,145.00.

Sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly, we will use the formula for compound interest:

Future Value = Principal * (1 + (Interest Rate / Number of Compounds))^ (Number of Compounds * Time)

Here, we need to find the Principal amount. The given values are:
- Future Value = $2,324.61
- Interest Rate = 4% = 0.04
- Number of Compounds per year = 4 (quarterly)
- Time = 2 years

Rearranging the formula to find the Principal:

Principal = Future Value / (1 + (Interest Rate / Number of Compounds))^ (Number of Compounds * Time)

Substitute the values into the formula:

Principal = 2324.61 / (1 + (0.04 / 4))^(4 * 2)

Principal = 2324.61 / (1 + 0.01)^8
Principal = 2324.61 / (1.01)^8
Principal = 2324.61 / 1.082857169

Principal = $2,145.00 (rounded to the nearest cent)

The sum of money that will grow to $2,324.61 in two years at a 4% interest rate compounded quarterly is $2,145.00.

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A) Choosing a stratified random sample might be preferable to an SRS because;

Stratified random sampling would divide the population into stratas but the

SRS would not do so. The strata would be the type of room namely those

with water view and those with golf view.

B) The reason why a cluster sample would be a simpler option is because;

It will divide the population into multiple clusters that makes it easier to

work with unlike the SRS that generalizes. The clusters would be each of

the 30 floors.

We are told that the manager wanted to select 120 rooms and carry out a survey on each registered guest by asking how satisfied they were with the hotel. He decided to use a sampling method called SRS which means Simple Random Sampling.

Simple random sampling is defined as a sampling method where individuals or objects are selected randomly from a population thereby given each person or object an equal chance of selection.

A) Stratified Random sampling is a method of sampling that divides the population into smaller groups known as objects/stata. In this case Stratified random sampling would be preferred to SRS because the hotel rooms are divided into two types namely those that can view the water and those that can view the golf course and as such the Stratified random sampling would divide the population but the SRS would not do so.

B) Cluster sampling is when the population is divided into multiple groups known for assessment. The reason why it would be a simpler option is because there are 30 floors and they can be classified as clusters and surveyed per floor.

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