Find the measure of the exterior angle 1. with one angle is 50 degrees and 28 degrees

A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual park is 280 yards long. What is the area of

Vaselesa [24]

Answer:

56,000

Step-by-step explanation:

3 0

3 years ago

Solve 8x 2 - 2x - 1 = 0 {-1/4, 1/2} {-1/2, 1/4} {1/2}

Kamila [148]

8x^2 - 2x - 1 = 0
(2x - 1)(4x + 1) = 0
2x - 1 = 0; x = 1/2
4x + 1 = 0;x = -1/4

answer
{-1/4, 1/2}

4 0

4 years ago

Boatesville is 65 3/5 kilometers from Stanton. A bus traveling from Stanton is 24 1/3 kilometers from Boatesville. Write an equa

Elena L [17]

Distance the bus has traveled :

$65 \dfrac{3}{5} - 24\dfrac{1}{3}$

$= 65 \dfrac{3 \times 3 }{5 \times 3} - 24\dfrac{1 \times 5}{3 \times 5}$

$= 65 \dfrac{9 }{15} - 24\dfrac{5}{15}$

$= 41 \dfrac{4 }{15} \text { km}$

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$\text {Answer : The bus has traveled }41 \frac{4}{5} \text { km}$
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8 0

3 years ago

Consider the growth of a population p(t). It starts out with p(0)=A. Suppose the growth is unchecked, and hence p′=kp for some c

gayaneshka [121]

Answer:

$p(t) = Ae^{\frac{kt^2}{2}}$

Step-by-step explanation:

We are given the following information in the question:

The growth of population is given by the function p(t).

p(0)=A where A is a constant.

$p' = kp$

where k is a constant.

Solving the given differential equation, we have,

$p' = kp\\\\\displaystyle\frac{dp}{dt} = kp\\\\\frac{dp}{p} = kt~ dt\\\\\text{Integrating both sides}\\\\\int \frac{dp}{p} = \int kt~ dt\\\\\log p = \frac{kt^2}{2} + C\\\\\text{where C is the integration constant}\\\\\text{Putting t = 0}\\\\\log p_0 = C\\\\\log p = \frac{kt^2}{2} + \log p_0\\\\\log p - \log A = \frac{kt^2}{2}\\\\\log \frac{p}{A} = \frac{kt^2}{2}\\\\p(t) = Ae^{\frac{kt^2}{2}}$

5 0

3 years ago

An unfair coin has probability 0.3 of landing heads. The coin is tossed seven times. What is the probability that it lands heads

solmaris [256]

Answer:

0.9176 = 91.76% probability that it lands heads at least once

Step-by-step explanation:

For each time that the coin is tossed, there are only two possible outcomes. Either it lands heads, or it does not. The probability of a toss landing heads is independent of other tosses. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$