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Alenkinab [10]
2 years ago
3

. Which represents the type of sequence: -99, -96, -92, -87, -81, …? a. both arithmetic and geometric b. neither arithmetic nor

geometric c. geometric d. arithmetic 2. A town has a population of 32,000 in the year 2002; 35,200 in the year 2003; 38,720 in the year 2004; and 42,592 in the year 2005. If this pattern continues, what will the population be in the year 2016? a. 100,430 b. 110,473 c. 121,520 d. 133,672
Mathematics
1 answer:
sineoko [7]2 years ago
8 0
1. B. Neither arithmetic nor geometric.
Solving for the common difference of each pairs of adjacent numbers, you can see that the differences are not the same, so it is not arithmetic. 
If you divide the a number by its previous adjacent number, then the common ratios are still not the same, so it is not geometric as well.

2. C. 121,520
The populations are geometric sequence with 11/10 as its common ratio. We use the formula for finding the nth term of a geometric sequence. Keep in mind that we are looking for the 15th term.
You might be interested in
A glass bead has the shape of a rectangular prism with a smaller rectangular prism removed. What is the volume of the glass that
olganol [36]

The volume of the removed portion is 35 cm³.

Step-by-step explanation:

Given,

The length× width× height (L×B×H) of the outer part = 3 cm×3 cm×7 cm

The length× width× height (l×b×h) of the inner part = 2 cm×2 cm×7 cm

To find the volume of the removed portion.

Formula

The volume of the removed portion = volume of outer part - volume of inner part

Volume of rectangular prism = l×b×h

Now,

Volume of outer part = 3×3×7 cm³ = 63 cm³

Volume of inner part = 2×2×7 cm³ = 28 cm³

Hence,

The volume of the removed portion = 63-28 cm³ = 35 cm³

4 0
2 years ago
Read 2 more answers
Which expression represents the distance between 4.7 and −11.2 on the number line? Drag and drop the correct expression into the
Lana71 [14]

Answer:

<h2>15.9</h2>

Step-by-step explanation:

\text{The formula of a distance between two points on a number line:}\\\\d=|a-b|\\\\\text{for}\ a\geq b:\ d=a-b\\=========================\\\\\text{We have}\ 4.7\ \text{and}\ -11.2.\ \text{Substitute:}\\\\d=4.7-(-11.2)=4.7+11.2=15.9

5 0
2 years ago
8.5b−3.4∙(13a−3.2b)+a
Nesterboy [21]

Answer:

8.5b - 3.4(13a - 3.2b) + a = 19.4b - 43.2a

Step-by-step explanation:

It is a simple mathematical problem with multiple like terms. We can solve it by applying basic mathematical rules of multiplication and addition/subtration.

8.5b - 3.4(13a - 3.2b) + a

= 8.5b - 3.4*13a -3.4*(-3.2b) + a

= 8.5b - 3.4*13a + 3.4*3.2b + a

= 8.5b - 44.2a + 10.88 b + a

Now, only like terms can be added to each other

= (8.5b + 10.9b) + (a - 44.2a)

= 19.4b + (-43.2a)

= 19.4b - 43.2a    

8 0
2 years ago
One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north
tatyana61 [14]

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, \bar x = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have t_{\alpha /2} = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

7 0
2 years ago
A steel pipe 100 cm long has an outside diameter of 2 cm and an inside diameter of 1.8 cm. If thee density of the steel is 7.8 g
ELEN [110]

Answer:

The mass of the pipe is 465\ g

Step-by-step explanation:

step 1

Find the volume of the steel pipe

The volume is equal to the area of outside circle minus the area of inside circle, multiplied by the length of the pipe

so

V=\pi [r2^{2}-r1^{2}]L

we have

r2=2/2=1\ cm ---> the radius is half the diameter

r1=1.8/2=0.9\ cm ---> the radius is half the diameter

L=100\ cm

\pi=3.14

substitute

V=(3.14)[1^{2}-0.9^{2}](100)=59.66\ cm^{3}

step 2

Find the mass

The mass is equal to the density multiplied by the volume

so

m=7.8(59.66)=465\ g

8 0
2 years ago
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