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2 years ago

Can you help me please

Mathematics

1 answer:

NemiM [27]2 years ago

7 0

Answer:

f(-4)=3(4)^2-5(4)

16*3-20

48-20

f(-4)=28

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Write two expressions with a gcf of 8xy

ipn [44]

32x^2y
8xy^6
hope i helped

8 0

2 years ago

A block of ice has a square top and bottom and rectangular sides. At a certain point in

Lilit [14]

Answer:

$\frac{dV}{dt} = 360 \ cm^3/h$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Geometry

Volume of a Rectangular Prism: V = lwh

Calculus

Derivatives

Derivative Notation

Differentiating with respect to time

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h$

Step 2: Differentiate

Rewrite [VRP]: $V = l^2h$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}$

Step 3: Solve for Rate

Substitute: $\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)$
Multiply: $\frac{dV}{dt} = 360 \ cm^3/h$

Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.

3 0

2 years ago

A group of hickers buys 8 bags of mixed nuts wash bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among

Paul [167]

Answer:

2 1/3 cups

Step-by-step explanation:

The total number of cups of mixed nuts purchased is ...

(8 bags)·(3 1/2 cups/bag) = 8·3.5 cups = 28 cups

When those are shared 12 ways, each share is ...

(28 cups)/(12 shares) = (28/12) cups/share = 2 1/3 cups/share

Each share is 2 1/3 cups.

3 0

3 years ago

On average, Tanner has noticed that 22 trains pass by his house daily (24 hours) on the nearby train tracks. What is the probabi

blondinia [14]

Answer:

0.11069

Step-by-step explanation:

We will assume that the trains pass by his house following a uniform distribution with values between 0 and 24. The probability of a train passing on a 9-hour time period is 9/24 = 3/8 = 0.375. Lets call Y the amount of trains passing by his house during that 9-hour period. Y follows a Binomail distribution with parameters 22 and 0.375.

P(Y ≤ 5) = P(Y = 0) + P(Y=1) + P(Y=2) + P(Y=3) + P(Y=4) + P(Y=5) =

${22 \choose 0} * 0.375^0*(1-0.375)^{22} + {22 \choose 1}*0.375^1*(1-0.375)^{21} +\\\\{22 \choose 2} * 0.375^2*(1-0.375)^{20} + {22 \choose 3}*0.375^3*(1-0.375)^{19} + \\{22 \choose 4} * 0.375^4*(1-0.375)^{18} + {22 \choose 5}*0.375^5*(1-0.375)^{17} = 0.11069$

I hope that works for you!

4 0

2 years ago

Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))

storchak [24]

9514 1404 393

Answer:

-40m² +112

Step-by-step explanation:

g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)

= -5(8m² -24) -8 = -40m² +120 -8

g(f(6-2m²)) = -40m² +112

3 0

3 years ago