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Find C.
Round to the nearest tenth.
20 ft
22 ft
B
A 18 ft
C = [?]
o

If one of the lines is tangent (the one whose length equals 8) and the other line is secant (the one that goes from the that intersects the circle), then the square of the length of the tangent is equal to the product of the external secant segment and the total length of the secant, like this:

8²=4×(4+x)

From this equation we can solve for x like this:

64 = 4×4 + 4x

64 = 16 + 4x

64 - 16 = 4x

48 = 4x

12 = x

x = 12

Then, x equals 12

Answer:u tell me doc

Step-by-step explanation:

The cost of each message is $0.015.

Option C graph best approximates Jerry's text message plan.

Given,

On Jerry's text message phone plan, she paid $0.30 for every 20 messages she sent.

We need to find what is the cost per message in dollars.

We divide the total cost by the number of items.

Example: 10 pieces cost $20

1 pieces cost = $20/10 = $2

We have,

$0.30 for every 20 messages.

The cost of each message:

= $0.30/20

= $0.300

= $0.015

We can see that in the graph x-axis represents the number of messages and the y-axis represents the cost of each message.

We have,

$0.30 = 20 messages

3 x $0.30 = 3 x 20 messages

$0.90 = 60 messages.

We need a graph that has a point that intersects $0.90 and 60 messages.

We see that in the graph of Option C.

Option C graph best approximates Jerry's text message plan.

Thus,

The cost of each message is $0.015.

Option C graph best approximates Jerry's text message plan.

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Answer:

63°

Step-by-step explanation:

Knowing that opposite angles are equivalent, we can easily say that ∠3 is equivalent to 63°. ∠1 and ∠4 are the complements of the given angle and ∠3, so their measures are also the same and are equivalent to 180°-63°=117°.

Since the two horizontal lines are parallel, ∠6 is equivalent to ∠3, so it too is 63°. Its complements, ∠5 and ∠8, are thus equivalent to the complements of ∠1 and ∠4, and thus they are 117°. Lastly, since opposite angles are equivalent, ∠6 is equivalent to ∠7, and so ∠7 is also 63°.

\(u= < -3~~,~~6 > \hspace{9em}v=i+2j\implies v= < 1~~,~~2 > \\\\[-0.35em] ~\dotfill\\\\ 2u\implies 2 < -3~~,~~6 > \implies < (2)(-3)~~,~~(2)(6) > \implies < -6~~,~~12 > \\\\\\ 2u\cdot v\implies\stackrel{ \textit{\LARGE dot product} }{ < -6,12 > \cdot < 1,2 > }\implies (-6)(1)+(12)(2)\implies \text{\LARGE 18}\)

Answer:

dot product practice

1. 88

2. 5

3. llull=sqrt (sqrt 45)

4.18

Step-by-step explanation:
missed some but these are the correct ones you’re welcome and have a nice day

The median level of album sales for Paul McCartney's solo career is 2.13 million.

To find the median level of album sales for Paul McCartney's solo career, we need to arrange the sales data in ascending order and then determine the middle value.

Arranged sales data in ascending order:

0.50, 0.65, 0.67, 0.80, 1.01, 1.08, 1.20, 1.23, 1.70, 1.86, 2.00, 2.13, 2.16, 2.34, 2.49, 3.13, 3.47, 3.54, 3.86, 3.89, 4.19, 8.63

Since there are 22 values in the dataset, the median will be the value at the 11th position (since the middle value is between the 11th and 12th positions).

Median level of album sales = 2.13 million (rounded to 3 decimal places)

Therefore, the median level of album sales for Paul McCartney's solo career is 2.13 million.

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Answer:

y = 5x - 2

Step-by-step explanation:

go with the steps and explanation.

to find slope:

find we have to take two best fit coordinates through which the line is passing :  ( 0 , -2 ) , ( -1 , -7 )

secondly find the slope using the formula: \(\frac{y-y1}{x-x1} \)

here y is -7 and y1 is -2 , x is -1 and x1 is 0

\(\frac{-7--2}{-1-0} \)

\(5\) .......this is the slope

then find equation using:

y - y1 = m( x - x1 ) ..............m is the gradient and y and x should be constant

y - -2 = 5 ( x - 0 )

y + 2  = 5x

y = 5x - 2 ......this is our equation in slope intercept form

Answer:

Step-by-step explanation:

Two different fractions where lowest common denominator is 20 are 1/4 and 1/5.

What are the lowest common denominator?

For two or more fractions, if the numbers at the bottom (or denominator) by which the lowest number can be divide into, is called the lowest common denominator. It is also known as the least common denominator.

Here, 20 is the given lowest common denominator. 

Therefore, we can write: 20 = 1 × 20, 20 = 2 × 10, 20 = 4×5

Hence, two fractions for which 20 can be a lowest common denominator are 1/4 and 1/5.

Hope it helps!

Answer:

x = –1

Step-by-step explanation:

From the question given above, the following data were obtained:

y = √(–2x + 7)

y = 3

x =?

The value of x can be obtained as follow:

y = √(–2x + 7)

3 = √(–2x + 7)

Take the square of both side

3² = –2x + 7

9 = –2x + 7

Collect like terms

9 – 7 = –2x

2 = –2x

Divide both side by –2

x = 2 / –2

x = –1

If the skill builder has a total of 40 questions, and the maximum percent grade is 100%, we can use a rule of three to determine the relation between the percent grade y and the number of correct answers x:

So the equation is y = 2.5x + 0.

(Each correct answer is worth 2.5% of the grade)

Answer:

33. numbers are being increased by a certain number, that number being increased by 2 every time

Step-by-step explanation:

Answer:

B. 12w + 62 = 242 is the answer  Happy to Help :)

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

The correct equation of exchange accounting identity is: MV = PQ.

This equation states that:
- M represents the money supply
- V represents the velocity of money (the rate at which money is exchanged)
- P represents the average price level of goods and services
- Q represents the real quantity of goods and services

The equation of exchange (MV = PQ) shows the relationship between the money supply and the price level, as well as the velocity of money and the real quantity of goods and services in an economy.

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Answer:

2³ +2³= 12.

13¹ + 2² = 17

Step-by-step explanation:

2 x 3 is 6 and 6 + 6 is twelve and 13 x 1 is 13 and 2 x 2 is 4 making it 17 hope this helps

Answer:

B!

Step-by-step explanation:

Let's use the number 5000 as an example... In scientific notation it would be written as 5•10^3 ('^' means exponents) No matter what it's always

n=  s•10^e (Letters are random)

Hope this helped!

We have that Base of 10 is an established rule used by scientist all round the world and is a standard in most fields of learning

Option C

10

From the question we are told

The rule of scientific notation is to write all exponents with a base of..?  

A; 5

B: 10

C: 100

D: 50

Generally

it goes without saying that the scientific notation is to write all exponents with a base of 10

This is an established rule used by scientist all round the world and is a standard in most fields of learning

Since

Base of 10 is an established rule used by scientist all round the world and is a standard in most fields of learning

Option C

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Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

What is rate of change?

Suppose there is a function and there are two quantities. If one quantity of a function changes, the rate at which other quantity of the function changes is called rate of change of a function.

Here rate of change of height has been calculated

Let the radius be r inch and height of the cylinder be 10 inch

It is given

h = 10r

Volume of cylinder (V) = \(\pi r^2 h\)

                                     = \(\pi (\frac{1}{10}h)^2h\\\frac{1}{100}\pi h^3\)

\(\frac{dV}{dt} = \frac{d}{dt}\frac{1}{100}\pi h^3\\\)

    \(= \frac{3}{100}\pi h^2\frac{dh}{dt}\)

\(150 = \frac{3}{100}\times \pi \times35^2 \times \frac{dh}{dt}\\\frac{dV}{dt} = \frac{147}{4}\pi \frac{dh}{dt}\\150 = \frac{147}{4}\pi \frac{dh}{dt}\\\frac{dh}{dt} = \frac{600}{147\pi}\\\frac{dh}{dt} = \frac{200}{49\pi}\)

Height of oil changes at the rate of \(\frac{200}{49\pi}\) inch\sec

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Answer:

$96

Step-by-step explanation:

Answer:

The mean is decreased by 1.25.

The mode  remains the same.

The median is decreased by 2 .

Step-by-step explanation:

Re arranging the data 14, 22, 20, 25, 26, 17, 21, 30, 27, 25, 14, and 29.

Gives

14, 14,17,20,  21, 22, 25,25, 26,  27, 29,30,  

Now the mean = 14, +14,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29,+30/12

Mean= 270/12=22.5

The Mode ( the repeated value) = 14,25

Median ( the average of middle value) =  22+25/2= 23.5

When 30 is replaced is by 15

Now the mean = 14, +14, +15,+17, +20, +21,+ 22, +25,+25,+ 26, +  27, +29/12

The  Mean becomes = 255/12=21.25

The Mode ( the repeated value) = 14,25

Median ( the average of the middle value) =  21+22/2= 21.5

The difference between the 2 means  is = 22.5- 21.25= 1.25

The mode  remains the same.

The median is decreased by 2 .

The mean is decreased by 1.25 which is more than 50 % of the value obtained between the ratio of the omitted and added value (30/15=) i.e. 2

The interval of convergence of [infinity]x k=1 kkxk is [0, 1). The interval of convergence of  [infinity]x k=1 xk k! is (-infinity, infinity).  The interval of convergence of [infinity]x k=1 kkxk is [-1, 1).

For the series

∑ (k=1 to ∞) k^2 x^k

we can use the ratio test to find the interval of convergence:

lim as k approaches infinity of |(k+1)^2 x^(k+1) / (k^2 x^k)|

= lim as k approaches infinity of |(k+1)x / x| = lim as k approaches infinity of (k+1) = infinity

Therefore, the series diverges for all values of x when x is not zero.

To check the endpoints, we can test x=0 and x=1:

when x=0, the series clearly converges to 0.

when x=1, the series becomes

∑ (k=1 to ∞) k^2

which is a p-series with p=2, so it diverges.

Therefore, the interval of convergence  is [0, 1).

For the series

∑ (k=1 to ∞) x^k / k!

we can also use the ratio test:

lim as k approaches infinity of |x^(k+1) / (k+1)!| / |x^k / k!|

= lim as k approaches infinity of |x| / (k+1)

= 0 if |x| < infinity

= infinity if x = infinity

= undefined if x = -infinity

Therefore, the interval of convergence is (-infinity, infinity), which means the series converges for all x.

For the series

∑ (k=1 to ∞) x^k 7k√k

we can use the root test to find the interval of convergence:

lim as k approaches infinity of |x 7√k|^(1/k)

= |x| lim as k approaches infinity of (7√k)^(1/k)

= |x|

Therefore, the series converges when |x| < 1, and diverges when |x| > 1 or x= -1 or x=1.

To check the endpoints, we can test x=-1, x=1, and x=0:

when x=-1, the series becomes

∑ (k=1 to ∞) (-1)^k 7k√k

which does not converge, since the terms do not approach zero.

when x=1, the series becomes

∑ (k=1 to ∞) 7k√k

which also does not converge, since the terms do not approach zero.

when x=0, the series clearly converges to 0.

Therefore, the interval of convergence is [-1, 1).

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The function f(x, y) is continuous on the closed disk D with center (0,0) and radius 1.

Since the domain of the function f(x, y). To find the domain, we have to ensure that both the square roots in the function have non-negative real numbers inside them.

So, x ≥ 0, since we cannot take the square root of a negative number.

1 - x² - y² ≥ 0.

Rearranging this inequality:

y² ≤ 1 - x².

For the square root to be defined, the right-hand side of the inequality must be non-negative.

So, we must also have

1 - x² ≥ 0.

x² ≤ 1, or -1 ≤ x ≤ 1.

Combining these inequalities;

0 ≤ x ≤ 1 and -√(1 - x²) ≤ y ≤ √(1 - x²).

Therefore, the domain of the function f(x, y) is the region R defined by the above inequalities.

Next, we need to show that the function f(x, y) is continuous over the region R.

To show that the function f(x, y) is continuous at a point (a, b) in R, we need to show that for any ε > 0, there exists a δ > 0 such that:

|f(x, y) - f(a, b)| < ε whenever (x, y) is in the open disk centered at (a, b) with radius δ.

Since the function f(x, y) is a sum of two square roots, is also continuous over its domain.

Thus, the set of points at which the function f(x, y) is continuous is the region R can be written as:

0 ≤ x ≤ 1 and -√(1 - x²) ≤ y ≤ √(1 - x²).

Therefore, the function f(x, y) is continuous on the closed disk D with center (0,0) and radius 1.

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Answer:

kadali namn yab

Step-by-step explanation:

1×1 wla kang jowa hahah

Answer:

Folk religions are based in tradition

Folk religions are animistic

The major religions are christianity and islam

Correct statement regarding religion in Africa is that the major religions are Christianity and Islam.

At some point, Africans practiced traditional religions where they worshipped multiple gods and held deep reverence for their ancestors. This changed as Islam and Christianity took over the continent.

Islam was spread around Africa by:

Christianity came later when:

Therefore, We can say in conclusion that due to Muslim and European incursions in Africa, the major religions became Islam and Christianity.

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Answer:

m<2 is 45° because there is proof in the problem.

m<1 is 45°, and m<1 is equal to m<2, so m<2 equals 45°

Hope this helps!

Answer:

you would have 100 cats left

The two numbers that are in both sequences and between 10 and 30 are 14 and 26.

An ordered set of numbers that adhere to a pattern or rule is referred to as a sequence in mathematics. Sequences can be defined in a variety of ways, such as a formula or a recursive definition, and they can be finite or infinite. Several branches of mathematics, including calculus, algebra, and number theory, employ sequences to explore and answer problems related to the behaviour of functions. For instance, sequences may be used to create fractals and other geometric patterns, predict the rise of populations or the spread of illnesses, and examine the distribution of prime numbers.

The given sequence is 4n - 5, and the nth term is 3n + 2.

For numbers between 10 and 30 in the sequence we have:

4n - 5 ≥ 10

4n ≥ 15

n ≥ 3.75

And,

4n - 5 ≤ 30

4n ≤ 35

n ≤ 8.75

Now, we calculate the sequence for n from 4 to 8:

When n = 4, 3n + 2 = 14

When n = 5, 3n + 2 = 17

When n = 6, 3n + 2 = 20

When n = 7, 3n + 2 = 23

When n = 8, 3n + 2 = 26

Hence, the two numbers that are in both sequences and between 10 and 30 are 14 and 26.

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