All categories

4 years ago

What is 1/2p-8=40. (Don't mind this part )

Mathematics

1 answer:

Lostsunrise [7]4 years ago

7 0

1/2p = 40 + 8
1/2p = 48
p = 48 x 2
p = 96
so p will be equal to 96

You might be interested in

mr amaya class is collecting thing to measure. rachel find a leaf. would the leaf be 4 inches, 4 feet, or yards longer

artcher [175]

Good question!

The leaf would in fact be 4 inches. 4 feet long would be 48 inches which is way too big for a leaf! And let's not even begin to consider how big 4 yards would be!

The leaf is 4 inches, hope this helps!

8 0

3 years ago

Read 2 more answers

6. If you drew all possible random samples of size 1,000 from the population of LSAT test takers and plotted the values of the m

grigory [225]

Answer:

Step-by-step explanation:

Given that you drew all possible random samples of size 1,000 from the population of LSAT test takers

Plotted the values of the mean from each sample

As per central limit theorem, we find that for sample sizes of minimum 30, the means of all such samples randomly drawn would follow a bell shaped curve with normal distribution irrespective of the original distribution of the population.

Hence here answer is yes, this would be a normal distribution as per central limit theorem.

6 0

4 years ago

The volume of a sphere is decreasing at a constant rate of 116 cubic centimeters per second. At the instant when the volume of t

nirvana33 [79]

Answer:

$\frac{dr}{dt} = -1.325 \ cm/s$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Calculus

Derivatives

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Taking Derivatives with respect to time

Step-by-step explanation:

Step 1: Define

Given:

$V = \frac{4}{3} \pi r^3$

$\frac{dV}{dt} = -116 \ cm^3/s$

$V = 77 \ cm^3$

Step 2: Solve for r

Substitute: $77 = \frac{4}{3} \pi r^3$
Isolate r term: $\frac{77}{\frac{4}{3} \pi} = r^3$
Isolate r: $\sqrt[3]{\frac{77}{\frac{4}{3} \pi}} = r$
Evaluate: $2.63917 = r$
Rewrite: $r = 2.63917 \ cm$

Step 3: Differentiate

Differentiate the Volume Formula with respect to time t.

Define: $V = \frac{4}{3} \pi r^3$
Differentiate [Basic Power Rule]: $\frac{dV}{dt} = \frac{4}{3} \pi \cdot 3 \cdot r^{3-1} \cdot \frac{dr}{dt}$
Simplify: $\frac{dV}{dt} = 4 \pi r^2 \cdot \frac{dr}{dt}$

Step 4: Find radius rate

Substitute in variables: $-116 \ cm^3/sec = 4 \pi (2.63917 \ cm)^2 \cdot \frac{dr}{dt}$
Isolate dr/dt rate: $\frac{-116 \ cm^3/s}{4 \pi (2.63917 \ cm)^2} = \frac{dr}{dt}$
Evaluate: $-1.3253 \ cm/s = \frac{dr}{dt}$
Rewrite: $\frac{dr}{dt} = -1.3253 \ cm/s$
Round: $\frac{dr}{dt} = -1.325 \ cm/s$