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3 years ago

Evaluate the function given the value f(x) = 1 - 2x; f(-12) r

Mathematics

1 answer:

vesna_86 [32]3 years ago

3 0

Answer:

The answer is 25

Step-by-step explanation:

$f( - 12) = 1 - 2( - 12) = 1 + 24 = 25$

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Find a substance half-life in days. round your answer to the nearest tenths

jeka57 [31]

A 33 gram sample has k value of .1124
(Actually I think the problem SHOULD be worded: A 33 gram sample has k value of -.1124/days)

See attached graphic:
Half-Life = ln (.5) / k
Half-Life = -.693147 / -.1124/days
Half-Life = 6.1667882562 days

Source:
http://www.1728.org/halflif2.htm

3 0

3 years ago

Read 2 more answers

Gael has a car loan for $34,570. This loan has a simple interest rate of 3% per year. What is the amount of interest Gael will b

mart [117]

Answer:

5185.5

Step-by-step explanation:

I=PRT

I=$34570×0.03×5

=5185.5

5 0

2 years ago

Read 2 more answers

An electric utility company determines the monthly bill for a residential customer by adding an energy charge of 7.32 cents per

Sedaia [141]

Answer:

$y(x) = 0.0732x + 17.32$

Step-by-step explanation:

The equation for the monthly charge has the following format

$y(x) = ax + b$

In which y(x) is the cost in function of the number of kilowatt-hours used(x), a is the price of each killowatt hour and b is the fixed(base) charge.

Base charge of $17.32 per month.

This means that $b = 17.32$

charge of 7.32 cents per kilowatt-hour

Our answer is in dollars. Each dollar is 100 cents. So 7.32 cents is $a = 0.0732$

Write an equation for the monthly charge y in terms of x, the number of kilowatt-hours used.

$y(x) = ax + b$

$y(x) = 0.0732x + 17.32$

6 0

3 years ago

Mr. Smith had 34 of a peach pie left over. He split the leftover pie among his 3 co-workers.

viktelen [127]

Answer:

11.333 infinity

Step-by-step explanation:

when you divide 34 by 3 you then get 11.3 infinity which would also be a repeating decimal

8 0

3 years ago

The volumes of two cylindrical cans of the same shape vary directly as the cubes of their radii. If a can with a six-inch radius

Cerrena [4.2K]

Answer:

The second similar can with a radius of 24-inch radius will hold 12 gallons

Step-by-step explanation:

The given parameters are;

The volumes of the cylindrical can ∝ (The radius of the cans)³

The volume of first can, V₁ = 1¹/₂ pints

The radius of the first can, r₁ = 6-inch

The radius of the second can, r₂ = 24-inch

Therefore, we have;

V ∝ r³

V = k × r³

∴ 1¹/₂ pints ∝ (6 in.)³

1¹/₂ pints = 43.3125 in³

∴ 43.3125 in³ = k × 216 in.³

The constant of proportionality, k = 43.3125/216 = 0.2005208333

Therefore, we have for the second can, we have;

V₂ = k × r₂³ = 43.3125/216 × (24 in.)³ = 2772 in.³

The volume of the second can = 2772 in.³

1 in.³ = 0.004329 gallons

∴ 2772 in.³ = 2772 × 0.004329 gallons = 12 gallons

Therefore, the volume the second similar can with a 24-inch radius will hold = 12 gallons.

8 0

3 years ago