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Liula [17]
3 years ago
9

Need help to write equations for 5, 6 & 7

Mathematics
1 answer:
hoa [83]3 years ago
8 0
7)
Read my note at the end of problem 5 in another post.
You already know this table represents an exponential function
since each y-coordinate is always the previous y-coordinate multiplied by 6.
That means b = 6, and you have
y = a(6)^x
Now we find "a". When x = 0, y = 5. That means a = 5.
The equation is

y = 5(6)^x
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Vaselesa [24]

Answer:

1/3

Step-by-step explanation:

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

so, we can write this as:

1/3 x 1/3 x 3/1

if calculated by cutting, the answer is 1/3

There is also an easier way to do this,

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

as the bases are same, the powers will be added.

2+(-1)

2-1

=1

so,

(1/3)^1 or 1/3

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3 years ago
A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 alb each week. How many weeks does one bag last?
iren2701 [21]
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6 0
3 years ago
Let X be the random variable representing the number of calls received in an hour by a 911 emergency service. A portion of the p
ivolga24 [154]

For any distribution, the sum of the probabilities of all possible outcomes must be 1. In this case, we have to have

P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)=1

We're told that p=P(X=1)=P(X=2), and we're given other probabilities, so we have

0.25+2p+0.10+0.05=1\implies2p=0.6\implies p=0.3

The expected number of calls would be

E[X]=\displaystyle\sum_xx\,P(X=x)

E[X]=0\,P(X=0)+1\,P(X=1)+\cdots+4\,P(X=4)

E[X]=1.4

6 0
3 years ago
(09.01) A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsiu
lukranit [14]

Answer:

x-intercept:

A line that crosses the graph at x-axis.

i.e substitute y = 0 and solve for x.

As per the statement:

A biologist created the following graph to show the relationship between the temperature of water (x), in degrees Celsius, and the number of insect larvae (y) in the water

Given the graph:

y = -2x^2+20x+400

Substitute y = 0  we have;

-2x^2+20x+400 = 0

⇒-2(x^2-10x-200) = 0

⇒x^2-10x-200 =0

⇒x^2-20x+10x-200 =0

⇒x(x-20)+10(x-20)=0

⇒(x-20)(x+10)=0

By zero product property we have;

x-20 =0 and x+10 = 0

⇒x = 20 and x = -10

Therefore,  the x-intercept represents the water has no larvae at −10 degrees Celsius and 20 degrees Celsius.

6 0
3 years ago
Read 2 more answers
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