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Alexxx [7]
3 years ago
8

On January 1st, Jerome concocts a rumor and tells Beth. On January 2nd, they each tell a new person. By the end of January 2nd,

four people have heard the rumor. On each subsequent day, each person who has heard the rumor spreads it to a new person. There are how many people who have heard the rumor by the end of January 8th?
Mathematics
2 answers:
Kamila [148]3 years ago
5 0
The rumor is spreading to a double amount of people each time and started with only one person.
On the first day, two people knew it. 2¹ = 2
On the second day, four people knew it. 2² = 4
On the third day, eight people knew it. 2³ = 8
On the nth day, the people that will know it = 2ⁿ
Thus, on the eighth day: 2⁸ = 256 people will know it
nexus9112 [7]3 years ago
5 0

Answer:

256

Step-by-step explanation:

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What is the value of g 6
soldier1979 [14.2K]

Answer:

9.8

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Determine the points of intersection of the line y=2x+5 and the circle x²+y²=36
Vladimir79 [104]

The two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

<h3>How to find the points of intersection?</h3>

Here we want to solve the system of equations:

y = 2x + 5

x² + y² = 36

To solve this, we need to replace the first equation into the second one:

x² + (2x + 5)² = 36

Now we can solve this for x:

x² + 4x² + 10x + 25 = 36

5x² + 10x - 11 = 0

This is a quadratic equation, to solve it we use the general formula:

x = \frac{-10 \pm \sqrt{10^2 - 4*5*(-11)} }{2*5} \\\\x = \frac{-10 \pm 17.9 }{10}

So we have two solutions for x:

x = (-10 - 17.9)/10 = -2.79

x = (-10 + 17.9)/10 = 0.79

To get the y-values of the solutions, we evaluate the linear equation in these values of x:

y = 2*(-2.79) + 5 = -0.58

y = 2*( 0.79) + 5 = 6.58

Then the two intersection points are (-2.79,  -0.58) and (0.79,  6.58).

If you want to learn more about intersection points:

brainly.com/question/17206319

#SPJ1

5 0
2 years ago
Would each of them be able to be the side lengths of a triangle?
ratelena [41]
Pythagoras Theorem:
hipotenuse²=leg₁²+leg₂²

First posible triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=5                  (5²=25)

13³=144 + 25


Answer:can be side lengths of a triangle

Second triangle:
 hypotenuse=12.6    (12.6²=158.76)
leg₁=6.7                ( 6.7²=44.89)
leg₂=6.5                  (6.5²=42.25)

leg₁²+leg₂²=44.89+42.25=87.14≠158.76

Answer: cannot be side lenghts of a triangle.

third triangle:
hypotenuse=13    (13²=169)
leg₁=12                ( 12²=144)
leg₂=11                  (11²=121)

leg₁²+leg₂²=144+121=265≠169

Answer: cannot be side lenghts of a triangle.

fourth triangle:
hypotenuse=13   (13²=169)
leg₁=6                ( 6²=36)
leg₂=4                  (4²=16)

leg₁²+leg₁²=36+16=52≠169

Answer: cannot be side lenghts of a triangle.
8 0
3 years ago
Read 2 more answers
Brandon earns a rebate each month on his meals and movie tickets. He earns $0.50 for each movie ticket and $2 for each meal. Las
Alex787 [66]
A. 25 = (.5 * 22) + (2 * x)

B. 25 = (.5 * 22) + (2 * x)
25 = 11 + 2x
14 = 2x
7 = x

C. 7
7 0
3 years ago
A box contains 4 green shirts, 3 blue shirts, 3 white shirts, 5 pink shirts, 2
mariarad [96]

Answer:

A. 2/9

if you divide 18 in half and devide 2 in half you get 2/9 18 shirts and only one is black leaving you with a 2/9 chance

4 0
3 years ago
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