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3 years ago

One more than the product of 17 and Matt's savings

Mathematics

1 answer:

velikii [3]3 years ago

8 0

Answer:

17m=2

Step-by-step explanation:

hey plz pick mine as the brainliest?

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Hiiii.. please help me with this limit question

Alenkasestr [34]

Answer:

Step-by-step explanation:

Solving without L'Hopital's rule:

lim(x→0) sin(π cos²x) / x²

Use Pythagorean identity:

lim(x→0) sin(π (1 − sin²x)) / x²

lim(x→0) sin(π − π sin²x) / x²

Use angle difference formula:

lim(x→0) [ sin(π) cos(-π sin²x) − cos(π) sin(-π sin²x) ] / x²

lim(x→0) -sin(-π sin²x) / x²

Use angle reflection formula:

lim(x→0) sin(π sin²x) / x²

Now we multiply by π sin²x / π sin²x.

lim(x→0) [ sin(π sin²x) / x² ] (π sin²x / π sin²x)

lim(x→0) [ sin(π sin²x) / π sin²x] (π sin²x / x²)

lim(x→0) [ sin(π sin²x) / π sin²x] lim(x→0) (π sin²x / x²)

π lim(x→0) [ sin(π sin²x) / π sin²x] [lim(x→0) (sin x / x)]²

Use identity lim(u→0) (sin u / u) = 1.

π (1) (1)²

Solving with L'Hopital's rule:

If we plug in x = 0, the limit evaluates to 0/0. So using L'Hopital's rule:

lim(x→0) [ cos(π cos²x) (-2π cos x sin x) ] / 2x

lim(x→0) [ -π cos(π cos²x) sin(2x) ] / 2x

-π/2 lim(x→0) [ cos(π cos²x) sin(2x) ] / x

Again, the limit evaluates to 0/0. So using L'Hopital's rule one more time:

-π/2 lim(x→0) [ cos(π cos²x) (2 cos(2x)) + (-sin(π cos²x) (-2π cos x sin x)) sin(2x) ] / 1

-π/2 lim(x→0) [ 2 cos(π cos²x) cos(2x) + π sin(π cos²x) sin²(2x) ]

-π/2 (-2)

8 0

3 years ago

To save money, a local charity organization wants to target its mailing requests for donations to individuals who are most suppo

Naya [18.7K]

Answer:

$(0.55525, 1.24475)$

Step-by-step explanation:

Given that to save money, a local charity organization wants to target its mailing requests for donations to individuals who are most supportive of its cause.

Men women

Sample size 5 5

Mean rate 6.2 5.3

Mean diffference = $6.2-5.3=0.9$

Std error for difference = 0.25 (given)

Since we have two groups and also sample sizes are very small we can use t significant value for finding out confidence interval

df = 5+5-2 =8

t critical value for 80% two tailed = 1.397

Conf interval 80%

= $(0.9-1.397*0.25, 0.9+1.397*0.25)\\= (0.55525, 1.24475)$

4 0

3 years ago

Which term describes the polynomial 6 + 3x + 4y?

vovangra [49]

The term that describes this polynomial is Linear trinomial.

6 0

3 years ago

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What is the value of y in this exponential decay function when x equals 2?

Leno4ka [110]

Answer:

The answer is d

Step-by-step explanation:

0.09

6 0

3 years ago

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You want to know the mean number of sick days taken by students in your county last year. At each of five schools you randomly s

Assoli18 [71]

Answer:

Step-by-step explanation:

Add each sample separately

A.17 B. 47 C. 39 D. 52 E. 45

Then you add them all together which totals 200 sick days

We know that they surveyed 5 schools and 10 students at random from each one. So we want to know the mean of sick days the students took not the schools in all.

So we divide 200/50

And get a mean of 4.

So each student took an average of 4 sick days each in the country.

3 0

3 years ago