Determine if the triangle with the given sides is acute, obtuse, or right.<br> 7, 12, 16

Find the (real-valued) general solution to the differential equation. z′′+5z′=0

andrew-mc [135]

Try this solution:1. to make up the characteristic equation:α²+5α=0; $\left[\begin{array}{ccc} \alpha=0 \\ \alpha =-5\\\end{array}$ 2. to make up the final answer:y=C₁+C₂e⁻⁵ˣ

7 0

2 years ago

Explain how to solve the equation <br><br> 9=q-4

castortr0y [4]

add them both then you get the awnser if the four is not a negative. if the four is a negative use division.

4 0

2 years ago

Read 2 more answers

PLEASE HELP QUICK!!!!

CaHeK987 [17]

Answer:

The bottom of a river makes a V-shape that can be modeled with the absolute value function, d(h) = 1/5|h - 240| - 48, where d is the depth of the river bottom (in feet) and h is the horizontal distance to the left-hand shore (in feet).

Step-by-step explanation:

8 0

2 years ago

Tell whether the ordered pair is a solution of the system of equations.

katovenus [111]

Answer:

2x + y = 5

y = 4x – 1

Substitute (2, 1) into system, then:

2x + y = 5 => 2 x 2 + 1 = 5 => 5 = 5 (satisfied)

y = 4x– 1 => 4 x 2 - 1 = 1 => -7 = 1 (not satisfied)

=> Option 3 is correct.

Hope this helps!

:)

8 0

2 years ago

32% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and a

Tems11 [23]

Answer:

a) $P(X=2)=(10C2)(0.32)^2 (1-0.32)^{10-2}=0.211$

b) $P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668$

c) $P(2 \leq x \leq 5)=0.211+0.264+0.218+0.123=0.816$

Step-by-step explanation:

1) 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".

2) Solution to the problem

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

$X \sim Binom(n=10, p=0.32)$