Math Answers

A new car is purchased for $16,400 the value of the car decreases at 8.25% per year what will be the value of the car to the nearest cent after 10 years

A deck (52) of cards (clubs, diamonds, hearts and spades) is shuffled once. Estimate the probability of drawing a king and queen. Estimate the probability of drawing a 4 (four). Estimate the probability of drawing a card that is not a heart.

Let P, Q and R be propositions defined as follows:

P: I am thirsty

Q: My glass is empty

R: It's 3 O'clock

Write each of the following propositions as logical expressions involving P.Q and R

If I am not thirsty , then my glass is not empty. NB: Use "=>" and "~" to represent conditional and negation connectives.

Use De Moivre’s Theorem to determine the cube root of Z and leave your answer in polar

form with the angle in radians

(a) Z = 1+i√3

If25

25is subtracted from the square of a certain numberk

kthe result is11

11. Which of the following equations determines the correct value ofk

k?

Show that 𝑊 = {(𝑥, 4𝑥, 3𝑥) ∈ ℝ2 |𝑥 ∈ ℝ} is a subspace of ℝ 3 . Also find a basis for subspace 𝑈 of ℝ 3 which satisfies 𝑊 ⊕ 𝑈 = ℝ3

Topic: Integration

Find the antiderivative of the following. Show your comple solution.

1.) Integral (6x⁵-4x²+2) dx

2.) Integral (12x²+2x) dx

3.) Integral 8^3/2 dx

4.) Integral 1/x¹² dx

5.) Integral ³√x dx

If I=V/R and V=250 volts and R=50ohms,find the change in I resulting from an increase of 2 volts in v and an increase of 0.5ohm in R. Using total differential method.

Alonzo finished his inglish assignment in 1/2 hours.Then he completed his chemistry assignment in 3/5 hours.How much more time did Alonzo spend on his chemistry assignment?

A random variable x is normally with mean 10 and variance 6.25 what is the value of p(x>12.25)