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Thepotemich [5.8K]
3 years ago
14

(8,-3) and (8,4) Linear functions

Mathematics
1 answer:
lesya692 [45]3 years ago
4 0

Answer:

\displaystyle x = 8

Step-by-step explanation:

Anything set to equal <em>x</em> is considered an undefined <em>rate of change</em> [<em>slope</em>], which is a <em>vertical line</em>. This is not a function, since it flunks the <em>vertical line test</em>.

I am joyous to assist you anytime.

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List the angles of the triangle in order from<br> largest to smallest.
alina1380 [7]

Answer: A, C, B

Step-by-step explanation:

Because "a" has 8 across

And "c" has 10 across

and "b" has 13 across

7 0
3 years ago
Determine the probability of landing on tails at most 33 times if you flip a fair coin 80 times. Round your answer to the neares
grigory [225]

Answer:

0.0728177272

Step-by-step explanation:

Given :

Number of flips = 80

Probability of landing on tail at most 33 times ;

Probability of landing on tail on any given flip = 1 / 2 = 0.5

This a binomial probability problem:

Hence ;

P(x ≤ 33) = p(x=0) + p(x=1) +... + p(x = 33)

Using a binomial probability calculator :

P(x ≤ 33) = 0.0728177272

7 0
3 years ago
Type the correct answer in the box. Write your answer as a reduced fraction, using / for the fraction bar. A six-sided fair die
Schach [20]

Answer:   \bold{\dfrac{125}{1296}}

<u>Step-by-step explanation:</u>

The probability of NOT getting a 4 means the probability of getting a 1, 2, 3, 5, or 6 which is 5 out of 6 = \dfrac{5}{6}

The probability of getting a 4 is 1 out of 6 = \dfrac{1}{6}

The probability of getting a 4 only on the last roll is:

NOT 4    and     NOT 4    and    NOT 4   and     Yes 4

    \dfrac{5}{6}           x            \dfrac{5}{6}            x          \dfrac{5}{6}           x           \dfrac{1}{6}      =      \dfrac{5^3}{6^4}= \dfrac{125}{1296}

3 0
3 years ago
A tank initially contains 40 ounces of salt mixed in 100 gallons of water. a solution containing 4 oz of salt per gallon is then
stellarik [79]
Let A(t) be the amount of salt in the tank at time t. We're given that A(0)=40. The rate at which this amount changes is given by

A'(t)=\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{4\text{ oz}}{1\text{ gal}}-\dfrac{5\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ oz}}{100+(5-5)t\text{ gal}}

A'(t)+\dfrac{A(t)}{20}=20

e^{t/20}A'(t)+e^{t/20}\dfrac{A(t)}{20}=20e^{t/20}

\bigg(e^{t/20}A(t)\bigg)'=20e^{t/20}

e^{t/20}A(t)=400e^{t/20}+C

A(t)=400+Ce^{-t/20}

Since A(0)=40, we get

40=400+C\implies C=-360

so that the amount of salt at time t is

A(t)=400-360e^{-t/20}

After 20 minutes, the tank contains

A(20)=400-360e^{-20/20}\approx267.56\text{ oz}
6 0
3 years ago
Five integers have a mean of 8. The<br> integers are 7, 3, 10, 13, X. Find the<br> value of x.
Sophie [7]
Mean = (7+3+10+13+x)/5

(7+3+10+13+x)/5 = 8

(7+3+10+13+x) = 40
x = 40-7-3-10-13 =7
7 0
3 years ago
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