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Vesna [10]
3 years ago
8

What is the slope of the line joining (8, 8) and (12, 6)?

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0
Using the slope formula, we know that the slope is -2/4 
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The radius of a circle is 7 inches. What is the area?
Basile [38]

Answer:

21.98

Step-by-step explanation:

7*3.16=21.98

3 0
3 years ago
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Find a power series representation for the function. (Give your power series representation centered at x = 0.) f(x) = x/6x^2 +
timama [110]

Looks like your function is

f(x)=\dfrac x{6x^2+1}

Rewrite it as

f(x)=\dfrac x{1-(-6x^2)}

Recall that for |x|, we have

\dfrac1{1-x}=\displaystyle\sum_{n=0}^\infty x^n

If we replace x with -6x^2, we get

f(x)=\displaystyle x\sum_{n=0}^\infty\frac(-6x^2)^n=\sum_{n=0}^\infty (-6)^n x^{2n+1}

By the ratio test, the series converges if

\displaystyle\lim_{n\to\infty}\left|\frac{(-6)^{n+1} x^{2(n+1)+1}}{(-6)^n x^{2n+1}}\right|=6|x^2|\lim_{n\to\infty}1=6|x|^2

Solving for x gives the interval of convergence,

|x|^2

We can confirm that the interval is open by checking for convergence at the endpoints; we'd find that the resulting series diverge.

3 0
3 years ago
Lucia has 50 sports cards she has 20 football cards 10 baseball card 15 basketball card and five hockey cards a single card is s
Ket [755]
The probability that the card is a football card is 20 out of 50 or 40%
the probability that the card is a basketball card is 10 out of 50 or 20%
4 0
3 years ago
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30.28 kg of beef were placed into 24 packages of equal weight. What is the weight of one package of beef? Please show your work.
klemol [59]

Answer:

1.26kg per package

Step-by-step explanation:

30.28/24= 1.2616...

5 0
3 years ago
Please help i dont understand​
Greeley [361]

Given:

A quadrilateral inscribed in a circle.

To find:

The value of x and y.

Solution:

If a quadrilateral inscribed in a circle, then it is known as cyclic quadrilateral and the opposite angles of a cyclic quadrilateral are supplementary angles, it means their sum is 180 degrees.

5x^\circ+110^\circ=180^\circ                     [Supplementary angles]

5x^\circ=180^\circ -110^\circ

x^\circ=\dfrac{70^\circ}{5}

x^\circ=14^\circ

The value of x is 14 degrees.

2y^\circ+104^\circ=180^\circ                     [Supplementary angles]

2y^\circ=180^\circ -104^\circ

y^\circ=\dfrac{76^\circ}{2}

y^\circ=38^\circ

Therefore, the value of x is 14 degrees and the value of y is 38 degrees.

3 0
3 years ago
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