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scZoUnD [109]
3 years ago
9

Simplify the following expressions

Mathematics
1 answer:
Mashcka [7]3 years ago
4 0
In division, we subtract the powers so, 
20u^3 / 5 u^2 = 4u 

in multiply we add the power 
20u^3 * 5 u^2 = 100 u^5 

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According to the National Center for Health​ Statistics, in​ 1990, 28 % of babies in the United States were born to parents who
AfilCa [17]

Answer:

76 % of babies will be born out of​ wedlock in the 81^{st} year

Step-by-step explanation:

Given:  In​ 1990, 28 % of babies in the United States were born to parents who were not married. This increased by approximately 0.6 % per year.

To find: year when 76 % of babies born out of​ wedlock

Solution:

A sequence is said to be in arithmetic progression if the difference between the terms is same.

For a sequence with first term as 'a' and common difference as 'd', the nth term is given by a_n=a+(n-1)d

The given situation also forms an arithmetic progression with  a=28\,,\,d=0.6

Also, put a_n=76

So,

a_n=a+(n-1)d\\76=28+(n-1)(0.6)\\76-28=0.6(n-1)\\48=0.6(n-1)\\\frac{48}{0.6}=n-1\\\\80=n-1\\n=80+1\\n=81

So, 76 % of babies will be born out of​ wedlock in the 81^{st} year

6 0
3 years ago
Which of the following statements can be assumed from the diagram?
bogdanovich [222]

Answer:

I think like a is parallel to line u

Step-by-step explanation:

sorry if it os wrong i tried my best

5 0
4 years ago
Read 2 more answers
R is a point which is 13 units from the origin if its x co-ordinates is 12 find the possible values of the y co-ordinate
daser333 [38]

Answer:

given (0,0) and (12,y1)

the distance formula states taht

the distance between the points (x1,y1) and (x2,y2) is

D=

given

D=13

x1=0, y1=0

x2=12

square both sides

minus 144 both sides

sqrt both sides

+/-5=y2

the points are

(12,5) and (12,-5)

Step-by-step explanation:

8 0
3 years ago
Four identical right triangles whose sides measure 5x, 12x, and 13x are arranged to form a small square inside a large square, a
Simora [160]

Answer:

The perimeter of the small square is approximately 9.154 units

Step-by-step explanation:

The given parameters are;

The sides of the four identical right triangles = 5·x, 12·x, and 13·x,

The perimeter of the large square = 17 units

Therefore, we have;

The hypotenuse side of the right triangles = The longest side = 13·x

The sides of the large square are formed by the hypotenuse sides of the right triangle

Therefore, the perimeter of the large square = 4 × 13·x = 52·x = 17 units

x = 17/52 ≈ 0.3269

x ≈ 0.3269 units

The sides of the small square = The difference between the longer and the shorter of the two legs = 12·x - 5·x = 7·x

∴ The sides of the small square = 7·x = (7 ×  0.3269) units ≈ 2.2885 units

The perimeter of the small square = 4 × The sides of the small square

The perimeter of the small square ≈ (4 × 2.2885) units ≈ 9.154 units

The perimeter of the small square ≈ 9.154 units.

5 0
3 years ago
A car travels 37 km in 25 minutes.
Hunter-Best [27]
The average speed is 1.48 km/h.
Explanation:
To find average speed, you divide distance traveled by the amount of time taken.
37/25 = 1.48
Answer is 1.48 km/hr
3 0
3 years ago
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