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3 years ago

Estimate the value of 196 divided by 0.499

Mathematics

2 answers:

Igoryamba3 years ago

7 0

392.79 and that's to 2dp

tester [92]3 years ago

4 0

The exact answer would be <span>392.78

An estimated value could be either 390 or 393</span>

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a delivery company charges an extra fee for a package that weighs more than 100 pounds write an inequality that shows the weight

Alona [7]

Answer:

$w\leq 100\ pounds$

Step-by-step explanation:

Let

w------> the weight in pounds

we know that

A delivery company charges an extra fee for a package that weighs more than 100 pounds

For

$w> 100\ pounds$ -----> the company charges an extra fee

therefore

For

$w\leq 100\ pounds$ ----> the company not charge an extra fee

8 0

3 years ago

SOLUTION We observe that f '(x) = -1 / (1 + x2) and find the required series by integrating the power series for -1 / (1 + x2).

Ann [662]

Answer:

Required series is:

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

Step-by-step explanation:

Given that

$f'(x) = -\frac{1}{1 + x^{2}}$ ---(1)

We know that:

$\frac{d}{dx}(tan^{-1}x)=\frac{1}{1+x^{2}}$ ---(2)

Comparing (1) and (2)

$f'(x)=-(tan^{-1}x)$ ---- (3)

Using power series expansion for $tan^{-1}x$

$f'(x)=-tan^{-1}x=-\int {\frac{1}{1+x^{2}} \, dx$

$= -\int{ \sum\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$= -\sum{ \int\limits^{ \infty}_{n=0} (-1)^{n}x^{2n}} \, dx$

$=-[c+\sum\limits^{ \infty}_{n=0} (-1)^{n}\frac{x^{2n+1}}{2n+1}]$

$=C+\sum\limits^{ \infty}_{n=0} (-1)^{n+1}\frac{x^{2n+1}}{2n+1}$

$=C-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

$tan^{-1}(0)=0 \implies C=0$

Hence,

$\int{\frac{-1}{1+x^{2}} \, dx =-x+\frac{x^{3}}{3}-\frac{x^{5}}{5}+\frac{x^{7}}{7}+.....$

7 0

3 years ago

solve the equations below. make sure you say how many solutions each equation has(MCC.8.EE.7a) A. 5p-9=7p-19 b. 5p-9= 5p-19 C. 5

Sedaia [141]

<h3>Answer:</h3>

A) p = 5, one solution
B) no solutions
C) infinite solutions

<h3>Step-by-step explanation:</h3>

A) Add 19-5p to each side of the equation:

... 10 = 2p

... 5 = p . . . . . divide by the coefficient of p

B) Subtract 5p from both sides of the equation:

... -9 = -19 . . . . . there is <em>no value of p</em> that will make this true. (No solution.)

C) Subtract 5p from both sides of the equation:

... -9 = -9 . . . . . this is true for <em>every value of p</em>. (Infinite solutions.)

6 0

3 years ago

Solve the inequality 47.75 + x < 50 to determine how much more weight can be added to Li's suitcase without going

ehidna [41]

Answer:

Answer Choice A

Step-by-step explanation:

I took this assignment

(please give brainliest)

8 0

3 years ago

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Will jumps rope at a rate of 86 jumps per minute. At this rate, what is the total number of times Will will jump in 15 minutes?

kolbaska11 [484]

Answer:

1290 jumps

Step-by-step explanation:

86 jumps x 15 min = 1290 jumps

4 0

2 years ago

Read 2 more answers