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3 years ago

9

WILL GIVE BRAINLIESTWhat is the value of a in the problem 4a-3=Dexplain answer

1 answer:

mixas84 [53]3 years ago

4 0

In this case, you aren't going to get an integer for the value of a, but you can rearrange the equation to equal a.

4a-3=D   add 3 to both sides
4a=D+3    divide both sides by 4
a=(D+3)/4   here's your answer

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So for the geometric mean, you would multiply the two numbers and put them under a radical

Step-by-step explanation:

3 times 10= 30

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Determine determine whether the following geometric series converges or diverges. if the series converges find its sum.

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For starters,

$\dfrac{3^k}{4^{k+2}}=\dfrac{3^k}{4^24^k}=\dfrac1{16}\left(\dfrac34\right)^k$

Consider the $n$ th partial sum, denoted by $S_n$ :

$S_n=\dfrac1{16}\left(\dfrac34\right)+\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\cdots+\dfrac1{16}\left(\dfrac34\right)^n$

Multiply both sides by $\frac34$ :

$\dfrac34S_n=\dfrac1{16}\left(\dfrac34\right)^2+\dfrac1{16}\left(\dfrac34\right)^3+\dfrac1{16}\left(\dfrac34\right)^4+\cdots+\dfrac1{16}\left(\dfrac34\right)^{n+1}$

Subtract $S_n$ from this:

$\dfrac34S_n-S_n=\dfrac1{16}\left(\dfrac34\right)^{n+1}-\dfrac1{16}\left(\dfrac34\right)$

Solve for $S_n$ :

$-\dfrac14S_n=\dfrac3{64}\left(\left(\dfrac34\right)^n-1\right)$

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$\displaystyle\lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=1}^n\frac{3^k}{4^{k+2}}=\sum_{k=1}^\infty\frac{3^k}{4^{k+2}}=\frac3{16}$

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3 years ago

Read 2 more answers

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natita [175]

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Step-by-step explanation:

Distance between two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

Distance = $\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

a). A(-6, -4), B(-3, -1)

Distance between A and B = $\sqrt{(-6+3)^2+(-4+1)^2}$

= $\sqrt{9+9}$

= 3√2

= 4.2 units

b). C(3.5, 1), D(-4, 2.5)

Distance between C and D = $\sqrt{(3.5+4)^2+(1-2.5)^2}$

= $\sqrt{58.5}$

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c). Distance between X(5, -5) and Y(-5, 5)

Distance = $\sqrt{(5+5)^2+(-5-5)^2}$

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4 0

3 years ago

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Andreyy89

Answer:

10% probability that the part has at least one flaw

Step-by-step explanation:

We have these following probabilities:

90% probability of the part being flawless.

8% probability of the part having a minor flaw

2% probability of the part having major flaws.

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3 years ago