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Fed [463]
3 years ago
7

Find the 9th term of the geometric sequence 8, 32, 128, ...

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

524,288

Step-by-step explanation:

Hope this helps!

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What is the equation of the line that passes through (-2, 2) and (1, -4)?
poizon [28]

Answer:

y = - 2x - 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁  = (- 2, 2) and (x₂, y₂ ) = (1, - 4)

m = \frac{-4-2}{1+2} = \frac{-6}{3} = - 2, thus

y = - 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 2, 2), then

2 = 4 + c ⇒ c = 2 - 4 = - 2

y = - 2x - 2 ← equation of line

3 0
3 years ago
In Hugo’s pencil pouch, 3/5
Anna [14]

Answer:

6?

Step-by-step explanation

8 0
3 years ago
At the start of the year, 15 chameleons were introduced into a zoo. The population of chameleons is expected to grow at a rate o
bearhunter [10]

Answer:

option-B

Step-by-step explanation:

We are given

At the start of the year, 15 chameleons were introduced into a zoo

so, P_0=15

The population of chameleons is expected to grow at a rate of 41.42% every year

so, r=0.4142

and x represents the number of years since the chameleons were introduced into the zoo

now, we can set equation to find total population

and we get

P(x)=P_0(1+r)^x

now, we can plug values

P(x)=15(1+0.4142)^x

P(x)=15(1.4142)^x

Average rate of change between 2 years and 4 years:

we can use formula

A_1=\frac{P(4)-P(2)}{4-2}

now, we can plug values

A_1=\frac{15(1.4142)^{4}-15(1.4142)^{2}}{4-2}

A_1=14.99914

Average rate of change between 4 years and 6 years:

we can use formula

A_2=\frac{P(6)-P(4)}{6-4}

now, we can plug values

A_2=\frac{15(1.4142)^{6}-15(1.4142)^{4}}{6-4}

A_2=29.99770

Average rate of change between 6 years and 8 years:

we can use formula

A_3=\frac{P(8)-P(6)}{8-6}

now, we can plug values

A_3=\frac{15(1.4142)^{8}-15(1.4142)^{6}}{8-6}

A_3=59.99425

now, we will check each options

option-A:

we can see that

A_3-A_2=30

A_3-A_2=30

So, this is FALSE

option-B:

A_1=\frac{1}{2}A_2

So, this is TRUE

option-C:

This is FALSE

option-D:

we got

A_1=\frac{1}{2}A_2

so, this is FALSE


5 0
3 years ago
At a state park, an average of 126 bicycles per day are rented in October. This number is 10% less than the average number of bi
polet [3.4K]

Answer: 139

Step-by-step explanation:

100% + 10% = 110%

110/100 x 126 = 138.6 ≈ 139

hope this helped, if it’s wrong I’m so so so sorry :(

6 0
3 years ago
Can I get help on this
mezya [45]
88% of 300
0.88 x 300 = 364
-
24 out of 120
24 / 120 = 0.2
Move the decimal two places to the right: 20.
20%
-
3 is 12% of (unknown number)
12% × x = 3
or 12 / 100 × x = 3
Multiplying both sides by 100 and dividing both sides by 12,
we have x = 3 × (100/12)
x = 25
—
65% of 60
0.65 x 60 = 39
39 loafs were sold in the afternoon
—
Not sure on question five. Never got those right as a kid, and I sure won’t get them now, lol
7 0
3 years ago
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