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kodGreya [7K]
3 years ago
8

What is the common ratio of 5,10,20,40...

Mathematics
2 answers:
Ratling [72]3 years ago
5 0
The common ratio is the multiplication of 2 each time. 5x2= 10// 10x2=20// 20x2=40
Misha Larkins [42]3 years ago
4 0
The common ratio of all those numbers is the fact that they all multiply by 2 every time
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If h(x) = -5x -10 find (h-2)
gizmo_the_mogwai [7]
H(x) = -5x - 10
h(-2) = -5(-2) - 10
h(-2) = 10 - 10
h(-2) = 0
8 0
3 years ago
Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance between them and their polar
Brrunno [24]

The distance between the two points is d=8.6m

The polar coordinate of A is \left(4.47,296.57\right)

The polar coordinate of B is \left(4.24,135\right)

Explanation:

The two points are A(2,-4) and B(-3,3)

The distance between two points is given by,

d=\sqrt{(2+3)^{2}+(-4-3)^{2}}\\d=\sqrt{(5)^{2}+(-7)^{2}}\\d=\sqrt{25+49}\\d=8.6

Thus, the distance between the two points is d=8.6m

The polar coordinates of A can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting A(2,-4), we get,

Distance = \sqrt{2^{2} +(-4)^{2} }=\sqrt{4+16 }=4.47

tan^{-1} \frac{y}{x} =tan^{-1} \frac{-4}{2}=-63.43

To make the angle positive, let us add 360,

\theta=360-63.43=296.57

The polar coordinate of A is \left(4.47,296.57\right)

Similarly, The polar coordinate of B can be written as (Distance, tan^{-1} \frac{y}{x} )

Distance = \sqrt{x^{2} +y^{2} }

Substituting B(-3,3), we get,

Distance = \sqrt{(3)^{2}+(3)^{2}}=4.24

tan^{-1} \frac{y}{x} =tan^{-1} \frac{3}{-3}=-45

To make the angle positive, let us add 360,

\theta=180-45=135^{\circ}

The polar coordinate of B is \left(4.24,135\right)

5 0
3 years ago
Identify is this is percent increase or percent decrease, then calculate percentage
vlabodo [156]

<em>Last year the chess club had 30 members. This year the club has 24 members. </em>

Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.

To find the percent decrease, you have to use the following formula.

\frac{Difference}{Original} \times 100

Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.

Substitute the numbers into the formula.

\frac{Difference}{Original} =\frac{6}{30} =0.2

To convert the decimal to a fraction, multiply the decimal by 100.

0.2 \times 100 = 20 \%

The answer is the number of chess members decreased by 20%.

____

Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.

____

3 0
3 years ago
What is the solution to the equation? X/3 = 2x -1
pav-90 [236]

Answer:

x = 3/5

Step-by-step explanation:

multiply the equation by 3 --> (x/3 = 2x-1) x 3

x = 6x - 3

-5x = -3

x = 3/5

3 0
3 years ago
SCHOOLS Jefferson High School has 100 less than 5 times as many studentsas Taft High School. Write and evaluate an expression to
posledela
Let x = the number of students at Taft high school
5x-100 = the number of students at Jefferson high school
if x =300 than 5(300)-100=1500-100=1400 students at Jefferson high school
4 0
3 years ago
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