Idk how to answer this

Please help! Can anyone help me out with this question?

TEA [102]

Answer:

$\displaystyle h'(s) = 64s + 20$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle h(s) = (-8s - 9)(-4s + 2)$

Step 2: Differentiate

[Derivative] Product Rule: $\displaystyle h'(s) = \frac{d}{ds}[(-8s - 9)](-4s + 2) + (-8s - 9)\frac{d}{ds}[(-4s + 2)]$
[Derivative] Basic Power Rule: $\displaystyle h'(s) = (1 \cdot -8s^{1 - 1} - 0)(-4s + 2) + (-8s - 9)(1 \cdot -4s^{1 - 1} - 0)$
[Derivative] Simplify: $\displaystyle h'(s) = (-8)(-4s + 2) + (-8s - 9)(-4)$
[Derivative] Distribute [Distributive Property]: $\displaystyle h'(s) = 32s - 16 + 32s + 36$
[Derivative] Combine like terms: $\displaystyle h'(s) = 64s + 20$

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

Unit: Derivatives

Book: College Calculus 10e

7 0

3 years ago

Assume that when adults with smartphones are randomly selected, 51% use them in meetings or classes. If 7 adult smartphone use

Morgarella [4.7K]

Answer:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=0.51)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

For this case we want to find this probability:

$P(X \geq 3)$

And we can use the complement rule for this case:

$P(X \geq 3) = 1-P(X$

If we find the individual probabilities we gotL

$P(X=0)=(7C0)(0.51)^0 (1-0.51)^{7-0}=0.0068$

$P(X=1)=(7C1)(0.51)^1 (1-0.51)^{7-1}=0.0494$

$P(X=2)=(7C2)(0.51)^2 (1-0.51)^{7-2}=0.1543$

And replacing we got:

$P(X \geq 3) = 1- [0.0068 +0.0494 +0.1543]= 0.7895$

7 0

3 years ago

kevin was a product tester at texas instruments. he was dropping calculators from a height of 5 feet on to a concrete surface. h

Shtirlitz [24]

Answer:

80%

Step-by-step explanation:

1 in 5 breaks

1/5 is 20%

100%-20%=80%

Please mark as brainliest

4 0

3 years ago

PLEASE HELP! THANKS!

Vinvika [58]

So that is area of rectangle-1/2areacircle

so
areacircle=pir^2
r=5
1/2pir^2=1/2pi5^2=25pi/2=12.5pi

arearectangle=lw=12*5=60

unshaded=60-12.5pi=20.75 square feet
round

20.8 square feet

6 0

3 years ago

50 PTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! When 1250^3/4 is written in simplest radical form, which value remains under the radical?

Basile [38]

Your final result is going to be 2*5^12

5 0

3 years ago