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2 years ago

A line passes through the point (6, -2) and has a slope of 4/3 Write an equation in point-slope form for this line.

Mathematics

1 answer:

kumpel [21]2 years ago

5 0

Answer:

y = 4/3x - 10

Step-by-step explanation:

Slope: 4/3

y-intercept: -2 - (4/3)(6) = -2 - 8 = -10

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During two years, the population of birds of an island became 7 times more than before. If the first year increase in the popula

nordsb [41]

Answer:

The percent increase of the second year is 400%.

Step-by-step explanation:

Consider the provided information.

Let the population of birds was x.

After 2 years the population becomes 7 times more than before.

Therefore, after 2 years population is 7x.

In first year increase in the population was 40%.

Population after 1st year = x + 40% of x

Population after 1st year = x + 0.40x

Population after 1st year = 1.4x

The population increase from 1st year to 2nd year is: 7x-1.4x=5.6x

Thus the percentage increase is:

$\% increase=\frac{5.6x}{1.4x}\times100=400\%$

Hence, in second year the population of birds increase by 400%.

6 0

3 years ago

List all subsets of ta, b, c, d, e) containing a but not containing b

fomenos

Answer:

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

Step-by-step explanation:

We are given the set (a,b,c,d,e).

Total number of subsets of the above set are $2^5$ = 32

Subsets:

(a,b,c,d,e)

(a), (b), (c), (d), (e)

(a,b), (a,c), (a,d), (a,e), (b,c), (b,d), (b,e), (c,d), (c,e), (d,e)

(a,b,c), (a,b,d), (a,b,e), (a,c,d), (a,c,e), (a,d,e), ( b,c,d), (b,c,e), (b,d,e), (c,d,e)

(a,b,c,d), (a,b,c,e), (a,b,d,e), (a,c,d,e), (b,c,d,e)

Subset having a but not b :

(a), (a,c), (a,d), (a,e), (a,c,d), (a,c,e), (a,d,e), (a,c,d,e)

7 0

3 years ago

About 70,000 people live in a 6-mile radius of a city's town hall. Find the population density in people per square mile. Round

nika2105 [10]

Answer:

The population density is 618.93 per square mile.

Step-by-step explanation:

It is given that,

No. of people, N = 70,000

The radius of a city's town hall, r = 6 miles

We need to find the population density. It can be calculated by the formula i.e. number of people divided by area of land such that,

$P=\dfrac{N}{A}\\\\P=\dfrac{N}{\pi r^2}\\\\P=\dfrac{70000}{\pi (6)^2}\\\\P=618.93\ \text{per square mile}$

So, the population density is 618.93 per square mile.

7 0

3 years ago

A coin is flipped 150 times. The results of the experiment are shown in the following table:

MakcuM [25]

First problem:

The answer is C because theoretically it should have a 50% of landing heads but instead it lands heads 56% of the time. Thus this is 6% higher than 50%. It's not D because there is not specified detail of how the person got this data so you can assume that the person did a fair survey/data collection.

Second problem:

So in a data size of 490, 140 of them we trout. This means that 140/490 or 28.57% of the fish are trout. This means that in a sample size of 5000 fish, 5000*0.2857 or 1428.57 are trout.

Third problem:

The Science students seem to have a higher average score because the average score of Math students are:
(32+33+34+34+35+37+39+40+40)/9=36
average score of Science students are:
(41+42+43+43+46+46+47+49+49)/9=45.111

7 0

3 years ago

Surface Area of Pyramids

iren [92.7K]

9514 1404 393

Answer:

288 km²

Step-by-step explanation:

The surface area is the sum of the area of the square base and the area of the four triangular faces.

SA = (10 km)² + 4(1/2)(10 km)(9.4 km) = 288 km²

____

The area formulas for a square and a triangle are ...

A = s² . . . . area of a square of edge length s

A = 1/2bh . . . . area of a triangle with base b and height h

4 0

2 years ago

A line passes through the point (6, -2) and has a slope of 4/3 Write an equation in point-slope form for this line.​

A line passes through the point (6, -2) and has a slope of 4/3 Write an equation in point-slope form for this line.