Ask question

Ask question

All categories

2 years ago

7

A cookie factory uses 9/10 of a bag of flour in each batch of cookies. The factory used 4 1/2 bags of flour yesterday. How many

batches of cookies did the factory make?

1 answer:

astraxan [27]2 years ago

8 0

If the factory uses 9/10 out of a bag of flour for each batch of cookies and ended up uses 4 1/2 bags for all the factory made
9 BATCHES OF COOKIES

You might be interested in

⦁ Find the sum of the series . 15 sigma n=1, (2n-1) Show your work

sergejj [24]

Answer:

225

Step-by-step explanation:

The sum of this series is given by the formula:

$S_n=\frac{n}{2}[2a+(n-1)d]$

Where

S_n is the sum

a is the first term (we get this by plugging in n = 1 into "2n-1", we have 2(1) - 1 = 1)

n is the number of terms (the sum is defined for n = 1 to n = 15, so 15 terms)

d is the common different (the difference is successive terms. Here, 2nd term would be 2(2) - 1 = 3, and first term was 1, so d = 3 -1 = 2)

<em>plugging in the info, we will get the sum:</em>

<em> $S_n=\frac{n}{2}[2a+(n-1)d]\\S_{15}=\frac{15}{2}[2(1)+(15-1)(2)]\\=225$ </em>

<em>The sum is 225</em>

4 0

3 years ago

Solve for x. 2x + 5 = x - 8

Gemiola [76]

2x+5=x-8
-x on both sides
x+5=8
-5 on both sides
x=-13

7 0

3 years ago

Solve the Anti derivative.

Alex Ar [27]

Answer:

$\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C$

General Formulas and Concepts:

<u>Algebra I</u>

Factoring

<u>Calculus</u>

Antiderivatives - integrals/Integration

Integration Constant C

U-Substitution

Integration Property [Multiplied Constant]: $\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx$

Trig Integration: $\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C$

Step-by-step explanation:

<u>Step 1: Define</u>

<u /> $\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx$ <u />

<u />

<u>Step 2: Integrate Pt. 1</u>

[Integral] Factor fraction denominator: $\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx$
[Integral] Integration Property - Multiplied Constant: $\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx$

<u>Step 3: Identify Variables</u>

<em>Set up u-substitution for the arctan trig integration.</em>

$\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx$

<u>Step 4: Integrate Pt. 2</u>

[Integral] Substitute u-du: $\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du$
[Integral] Trig Integration: $\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C$
[Integral] Simplify: $\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C$
[integral] Multiply: $\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C$
[Integral] Back-Substitute: $\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C$

Topic: AP Calculus AB

Unit: Integrals - Arctrig

Book: College Calculus 10e

7 0

2 years ago

Please help me with this homework question. No silly answers please and no bots, links, etc! I will mark brainliest to whoever g

Andre45 [30]

Answer:

T = (m × 20) + 25

(2.5 × 20) + 25 = 75

<u>75 minutes</u>

110 - 25 = 85

85 ÷ 20 = 4.25

<u>4.25 kilograms</u>

6 0

3 years ago

Which of the following is equal to the rational expression when x 2 or -4? 5(x-2)/(x-2)(x+4)

Elena L [17]

Wait when x= 2 or -4? is the second part options or 5(x-2)/(x-2)(x+4)

6 0

3 years ago