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3 years ago

Which of these angles are supplementary?

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Supplementary angles add to 180 degrees. Add each of the angles to see if they add to 180.

A. 100 + 90 = 190 NO

B. 78 + 102 = 180 YES

C. 54 + 146 = 200 NO

D. 12 + 78 = 90 NO

Vesnalui [34]3 years ago

3 0

Answer: B. 78 degrees and 102 degrees

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You have two exponential functions. One function has the formula g(x) = 3 x . The other function has the formula h(x) = 2-x . Wh

Vlada [557]

Answer:

see graph

Step-by-step explanation:

g(x) = 3^ x .

h(x) = 2^-x

We want to subtract them

f(x) = 3^x - 2^(-x)

I will rewrite without the negative exponent

f(x) = 3^x - (1/2)^(x)

Lets pick a couple of points

f(0) = 3^0 - (1/2) ^ 0 = 1-1 = 0

As x gets large 3^x gets large and 1/2^x gets close to 0, so it will get large

As x goes to negative infinity, 3^x goes to zero and 1/2^ gets large so we get - infinitity

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2 years ago

7. What is the slope of a line that passes through the origin and (-3,-2)?

Crazy boy [7]

Answer:

Step-by-step explanation:

( 0, 0) and (-3 , -2)

Slope = Change in y ÷ change in x

$= \frac{-2-0}{-3-0}\\\\=\frac{-2}{-3}\\\\=\frac{2}{3}$

3 0

3 years ago

A bag contains yellow marbles and red marbles, 77 in total. The number of yellow marbles is 5 more than 3 times the number of re

bulgar [2K]

Answer:

Step-by-step explanation:

yellow marbles=5+ 3r(r is the number of red marbles)

red marbles=3r

3r+3r+5=77

6r=77-5

6r=72

r=72/6=12

yellow marbles = 5 + 3r

5+ 12 x 3

5+ 36

=41

8 0

2 years ago

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

xxMikexx [17]

Answer:

(a) The expected number of guests until the next one pays by American Express credit card is 4.

(b) The probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

$P(X=x)=(1-p)^{x}p;\ x=0,1,2,3...,\ 0$

(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

$=0.1073741824\times 0.20\\=0.02147483648\\\approx0.0215$

Thus, the probability that the first guest to use an American Express is within the first 10 to checkout is 0.0215.

3 0

3 years ago

Give the equation of the circle centered at the origin and passing through the point (0,5)

Julli [10]

Answer:

$x^{2} +y^{2}=25$

Step-by-step explanation

The standard equation of a circle centered at origin is $x^{2} +y^{2} =r^{2}$

r = radius of the circle

The circle is passing through the point (0,5)

∴ radius $r=\sqrt{(0-0)^{2}+(5-0)^{2} }$

$r=\sqrt{0+25}$

$r=\sqrt{25}$

$r^{2}=25$

∴ The equation of the circle is

$x^{2} +y^{2} = 25$

5 0

2 years ago