All categories

3 years ago

3. Please list your answers from top to bottomed use commas to

Mathematics

1 answer:

Levart [38]3 years ago

7 0

Answer:

First do 6+7 (PEMDAS), plus 2 and then plus 54

2+(-11) is -9

You might be interested in

the ratio of rock music to total CDs that Ella own is 25/40 polo has 50 rock music CDs the ratio of rock music to total CDs in h

cluponka [151]

If Polo has $n$ CDs, then $\frac{50}n=\frac{25}{40}$ hence $n=\frac{50\cdot40}{25}=80$

Hence, they have a total of $80+40=\boxed{120\text{ CDs}}$

4 0

3 years ago

A) Use the limit definition of derivatives to find f’(x)

Ann [662]

$\text{Given that,}\\\\f(x) = \dfrac{ 1}{3x-2}\\\\\text{First principle of derivatives,}\\\\f'(x) = \lim \limits_{h \to 0} \dfrac{f(x+h) - f(x) }{ h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3(x+h) - 2} - \tfrac 1{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3x+3h -2} - \tfrac{1}{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{3x-2-3x-3h+2}{(3x+3h-2)(3x-2)}}{h}\\\\\\$

$~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{-3h}{(3x+3h-2)(3x-2)}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{-3h}{h(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \lim \limits_{h \to 0} \dfrac{1}{(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \cdot \dfrac{1}{(3x+0-2)(3x-2)}\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)(3x-2)}\\\\\\~~~~~~~=-\dfrac{3}{(3x-2)^2}$

$\text{Given that,}~\\\\f(x) = \dfrac{1}{3x-2}\\\\\textbf{Power rule:}\\\\\dfrac{d}{dx}(x^n) = nx^{n-1}\\\\\textbf{Chain rule:}\\\\\dfrac{dy}{dx} = \dfrac{dy}{du} \cdot \dfrac{du}{dx}\\\\\text{Now,}\\\\f'(x) = \dfrac{d}{dx} f(x)\\\\\\~~~~~~~~=\dfrac{d}{dx} \left( \dfrac 1{3x-2} \right)\\\\\\~~~~~~~~=\dfrac{d}{dx} (3x-2)^{-1}\\\\\\~~~~~~~~=-(3x-2)^{-1-1} \cdot \dfrac{d}{dx}(3x-2)\\\\\\~~~~~~~~=-(3x-2)^{-2} \cdot 3\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)^2}$

8 0

2 years ago

Shaneen has $30 to spend on CDs that each cost $10. She wants to calculate n, the number of CDs she can buy with her $30. Which

weqwewe [10]

Answer:

$10n \le 30$

$n \le 3$

Step-by-step explanation:

Given

$Total = \$30$

$Cost (each) = \$10$

Required

Determine the inequality

Assume she wants to buy n CDs.

If 1 CD costs $10, then n CDs costs 10n.

So, the inequality is:

$10n \le 30$

<em>We used </em> $\le$ <em> because the amount she wants to spend cannot exceed 30</em>

Divide both sides by 10, to solve for n

$n \le 3$

6 0

3 years ago

Estimate the difference by rounding each number to the nearest hundred worksheets

Gnom [1K]

just round it into the nearest hundreds

1234 into 1200

7 0

3 years ago

A survey finds that 40% of students ride in a car to school. Eri would like to estimate the probability that if 3 students were

Ber [7]

N is equal to = 20 which means there were 20 trials. Based on the results, the number of times that the results showed that 1 out of 3 students ride a car going to school, there is 55% probability or 0.55. There are 11 trials out of 20 trials that have exactly 1 student that rides a car going to school.

8 0

3 years ago

Read 2 more answers