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3 years ago

Please help me. I am so stuck.

Mathematics

1 answer:

Alexxx [7]3 years ago

6 0

Answer:

Converges to -25.

Step-by-step explanation:

$\sum_{k=1}^{\infty} -5 \cdot (\frac{4}{5})^{k-1}$ converges since $r=\frac{4}{5}$ .

The sum is given by $\frac{a_1}{1-r}$ where $a_1$ is -5.

$\frac{-5}{1-\frac{4}{5}}=\frac{-5}{\frac{1}{5}}=-5(5)=-25$ .

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3 years ago

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3 years ago

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(

−

)

(

−

)

(

−

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(

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Where:

≠

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Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

The equation a = StartFraction one-half EndFraction left-parenthesis b 1 plus b 1 right-parenthesis.(b1 + b2)h can be used to de

aleksley [76]

Answer:

The equivalent expressions are:

$b1=\frac{2a}{h}-b2$

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Step-by-step explanation:

Given equation for finding area of a trapezoid:

$a=\frac{1}{2}(b1+b2)h\\$

where $a$ represents area, $h$ represents height and $b1\ and\ b2$ represents the base lengths of the trapezoid.

Evaluating $h$ by rearranging the equation to find an equivalent equation.

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$2a=(b1+b2)h$

Dividing both sides by $b1+b2$

$\frac{2a}{b1+b2}=\frac{(b1+b2)h}{b1+b2}$

$\frac{2a}{b1+b2}=h$

$\therefore h=\frac{2a}{b1+b2}$

Evaluating $b1$ by rearranging the equation to find an equivalent equation.

Multiplying both sides by 2.

$2\times a=2\times\frac{1}{2}(b1+b2)h$

$2a=(b1+b2)h$

Dividing both sides by $h$

$\frac{2a}{h}=\frac{(b1+b2)h}{h}$

$\frac{2a}{h}=b1+b2$

Subtracting both sides by $b2$

$\frac{2a}{h}-b2=b1+b2-b2$

$\frac{2a}{h}-b2=b1$

$\therefore b1=\frac{2a}{h}-b2$

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3 years ago

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Please help me. I am so stuck.​

Please help me. I am so stuck.