What is the product of(5)(3)

A sanitation company charges $4 per bag for garbage pickup plus a $10 weekly fee. A restaurant has 14 bags of g garbage. What wi

soldi70 [24.7K]

Answer:

Step-by-step explanation:

Step one:

given data

charges

$4 per bag

$10 weekly fee

let the number of bag be x

and let the total charges be y

<em>the linear function for the total per week is</em>

<em>y=4x+10</em>

Step two:

the independent variable is the weekly fee of $10

for x=14

y=4(14)+10

y=56+10

y=$66

6 0

2 years ago

For the straight line defined by the points (2,55) and (4, 87), determine the slope (m) and y-intercept?

mamaluj [8]

Answer:

Slope(m) = 16

Y intercept (c) = 23

Step-by-step explanation:

Given:

Points : (x1, y1) = (2, 55)

(x2, y2) = (4, 87)

Using two point form to calculate slope:

$m = \frac{y2-y1}{x2-x1}$

$m = \frac{87-55}{4-2}$

m = 16

To find y intercept:

Take any one point ans slope :

Using slope point formula:

y = mx + c

87 = 16(4) + c

Solving for c:

c = 23

8 0

3 years ago

Find the derivative.

krek1111 [17]

Answer:

$\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

General Formulas and Concepts:

<u>Algebra I</u>

Terms/Coefficients

Expanding/Factoring

<u>Calculus</u>

Differentiation

Derivatives
Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

$\displaystyle f(x) = \frac{\sqrt{x}}{e^x}$

<u>Step 2: Differentiate</u>

Derivative Rule [Quotient Rule]: $\displaystyle f'(x) = \frac{(\sqrt{x})'e^x - \sqrt{x}(e^x)'}{(e^x)^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}(e^x)'}{(e^x)^2}$
Exponential Differentiation: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{(e^x)^2}$
Simplify: $\displaystyle f'(x) = \frac{\frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x}{e^{2x}}$
Rewrite: $\displaystyle f'(x) = \bigg( \frac{e^x}{2\sqrt{x}} - \sqrt{x}e^x \bigg) e^{-2x}$
Factor: $\displaystyle f'(x) = \bigg( \frac{1}{2\sqrt{x}} - \sqrt{x} \bigg)e^\big{-x}$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

7 0

2 years ago

1 ÷ 3 Express your answer as a fraction

Varvara68 [4.7K]

Answer:

1/3

Step-by-step explanation:

1 ÷ 3 = 1/3

1 divided by 3 is one-third, and one-third written as a fraction is 1/3.

7 0

3 years ago

Read 2 more answers

I need helpppppp i have no idea what im looking at lol

Fed [463]

The correct answer is option B which is $Cot\theta=\dfrac{24}{7}$ .

<h3>What is trigonometry?</h3>

Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.

Given that:-

$Sec\theta=\dfrac{25}{24}$

The value of cot theta will be calculated as:-

We know that sec theta is the ratio of hypotenuse and base and cot theta is the ratio of base and perpendicular so we will find the value of perpendicular by applying the Pythagorean theorem.

H² = P² + B²
P² = H² - B²

P² = 25² - 24 ² = 49

P = √49 = 7

Now the value of cot theta will be calculated as:-

$Cot\theta =\dfrac{B}{P}=\dfrac{24}{7}$

Therefore the correct answer is option B which is $Cot\theta=\dfrac{24}{7}$ .

To know more about Trigonometry follow

brainly.com/question/24349828

#SPJ1

5 0

2 years ago