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3 years ago

Please help me out please

Mathematics

1 answer:

Sliva [168]3 years ago

6 0

Answer:

Step-by-step explanation:

For rectangle ABCD, AC and BD are the lengths of the diagonals. The diagonals of a rectangle are congruent.

AC = BD

3x + 7 = 131 - x

Add x to both sides.

4x + 7 = 131

Subtract 7 from both sides.

4x = 124

Divide both sides by 4.

x = 31

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find the Taylor Series for tan−1(x) based at 0. Give your answer using summation notation and give the largest open interval on

enyata [817]

Let $f(x)=\tan^{-1}x$ . Then $f'(x)=\frac1{1+x^2}$ . Note that $f(0)=0$ .

Recall that for $|x|$ , we have

$\displaystyle\frac1{1-x}=\sum_{n\ge0}x^n$

This means that for $|-x^2|=|x|^2$ , or $-1$ , we have

$\displaystyle f'(x)=\frac1{1+x^2}=\frac1{1-(-x^2)}=\sum_{n\ge0}(-x^2)^n=\sum_{n\ge0}(-1)^nx^{2n}$

Integrate the series to get

$f(x)=f(0)+\displaystyle\sum_{n\ge0}\frac{(-1)^n}{2n+1}x^{2n+1}$

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6 0

3 years ago

PLEASE HELP

elixir [45]

Answer:

Ratio states that it shows the relative sizes of two or more values.

i,e a to b or a: b or $\frac{a}{b}$

(1)

Given the statement: A zoo has 17 monkeys and 12 chimpanzees

Write this situation in three ways, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

17 to 12

17 : 12

$\frac{17}{12}$ or we can write this as 17 over 12.

therefore, Option B is correct.

(2)

As per the statement: In Largo City, about one in every nine homes contains four televisions

Write this situation in three ways in the form of ratio, comparing the first quantity to the second quantity.

By definition of ratio:

Ratio in three ways are:

4 to 9

4 : 9

$\frac{4}{9}$

therefore, only options C is correct.

(3)

write three ratios for 7 over 35

By definition of ratio;

We have;

$\frac{7}{35}$

Divide both numerator and denominator by 7 we have;

$\frac{1}{5}$ .....[A]

⇒ $\frac{7}{35} =\frac{1}{5}$

Multiply both numerator and denominator by 2 in A we get;

$\frac{1}{5} = \frac{1 \times 2}{5 \times 2} = \frac{1}{10}$

Similarly,

Multiply both numerator and denominator by 3 in A, we get

$\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}$

Therefore, 3 ratios equal to 7 over 35 are;

$\frac{1}{5}$ or we can write it as one-fifth

$\frac{2}{10}$ or two -tenths

$\frac{3}{15}$ or three over fifteen

hence, Option D is correct.

(4)

Given the statement: Jake sold 28 tickets to the school fair, and Jeanne sold 21 tickets

Number of ticket Jake sold = 28 ticket.

Number of ticket Jeanne sold = 21 ticket.

To find: Number of ticket Jeanne sold to number of ticket Jake sold.

By definition of ratio

⇒ $\frac{21}{28}$

Therefore, the ratio in simplest form is, $\frac{21}{28}$

6 0

3 years ago

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Robert can complete 10 inspections in 8 hours. Which represents the unit rate for the number of inspections he completes per hou

morpeh [17]

Answer:

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Aveeno and her boyfriend you know who wrote the bus six times in a month it cost $40 for the two of them each time if Avena alwa

MaRussiya [10]

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Step-by-step explanation:

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So, we need to find the cost for the month, where we multiply 6 with $40 to get the amount for the whole month.

So, the amount for the month would be

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2 years ago

What is the probability of rolling a die and having it land on a factor of 30?

Daniel [21]

Answer:

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Step-by-step explanation:

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