MATHEMATICS HIGH SCHOOL

Simplify the expression

Answers

Answer 1

Answer:

Answer:

The simplified form of given expression $\frac{15xy}{5x^{(1)/(2)}y^2}$ is $\frac{3x^{(1)/(2)}}{y}$

Step-by-step explanation:

Given: Expression $\frac{15xy}{5x^{(1)/(2)}y^2}$

We have to write the given expression in simplified form,

Consider the given expression $\frac{15xy}{5x^{(1)/(2)}y^2}$

Divide the numbers $(15)/(5)=3$

we get,

$=\frac{3xy}{y^2x^{(1)/(2)}}$

Apply exponent rule , $(x^a)/(x^b)\:=\:x^(a-b)$

$\frac{x}{x^{(1)/(2)}}=x^{1-(1)/(2)}=x^{(1)/(2)}$

we get,

$=\frac{3yx^{(1)/(2)}}{y^2}$

Cancel y term, we have,

$=\frac{3x^{(1)/(2)}}{y}$

Thus, The simplified form of given expression $\frac{15xy}{5x^{(1)/(2)}y^2}$ is $\frac{3x^{(1)/(2)}}{y}$

Answer 2

Answer:

Answer:

$3x^{(1)/(2)}y^(-1)$

Step-by-step explanation:

The given expression is:

$\frac{15xy}{5x^{(1)/(2)}y^2}$

We have to simplify the above given expression.Thus,

Firstly, divide the constant terms, we get

$(15)/(5)=3$

Now, applying the exponent law, that is $(x^a)/(x^b)=x^(a-b)$ , we have

$\frac{xy}{x^{(1)/(2)}y^2}=x^{1-(1)/(2)}y^(1-2)=x^{(1)/(2)}y^(-1)$

Thus, the simplified form of the above given equation is:

$3x^{(1)/(2)}y^(-1)$

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How much is 2/3 of 9 marbles?

Answers

6 marbles
Explanation: Take 9 and ÷ by 3, then take 2 and multiply it by 2.

Answer:

Step-by-step explanation:

First divide 9 by 3 to get 3, then multiply 3 by 2 to get 6.

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Hope you do well! :D

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Answers

Answer:

The first and 3rd are functions, but the second and fourth are not functions.

Step-by-step explanation:

To see if something is a function, use the vertical line test. If there are multiple y coordinates for a singular point for x, it is not a function.

A soccer ball is kicked into the air from the ground. If the ball reaches a maximum height of 25 ft and spends a total of 2.5 s in the air, which equation models the height of the ball correctly? Assume that acceleration due to gravity is –16 ft/s2.

Answers

Hello,

g=9.81m/s²= 9.81/0.3048 =32.18.. ft/s² rounded to 32

h=-g/2*t²+vt+h0
if t=0,h=0 ==>h0=0

==>h=-16*t²+vt
50 ft in 2.5s ==> 25 ft in 1.25s

25=-16*1.25²+v*1.25
==>v=50/1.25=40

Equation h=-16t²+40*t

The equation models the height of the ball correctly will be h = -16t² + 40t.

What is a system of equations?

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

A soccer ball is kicked into the air from the ground.

g = 9.81m/s²

g = 9.81/0.3048

g =32.18.. ft/s² rounded to 32

h = -g/2t² + vt + h0

if t = 0,h = 0

h = -16t² + vt

50 ft in 2.5s

25 ft in 1.25s

25 = -16 x 1.25² + v x 1.25

v = 50/1.25

v =40

The equation models the height of the ball correctly will be h = -16t² + 40t.

Learn more about equations here;

brainly.com/question/10413253

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If a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate

Answers

Answer:4%

Step-by-step explanation:

From the question, we are informed that a jigsaw puzzle is priced 17.00 but cost 17.68 at the register. This means that the sales tax is (17.68 - 17.00) = 0.68.

Therefore, the sales tax rate will be calculated as:

= (0.68 / 17.00) × 100

= 4%

The sales tax rate is 4%

How to find missing endpoint?

Answers

You can determine the distance between the known 'endpoint' to the 'midpoint' then work the same change on midpoint

Find the start and end. Get the value and use the same thing

You are decorating your bedroom. To get the paint colour you want, you mix 2 parts red with 3 parts cream and 1 part blue.How much cream and blue paint will you need to mix with 4 litres of red?

Answers

Answer:

6 liters of cream.

2 liters of blue.

Step-by-step explanation:

We are given that To get the paint colour you want, you mix 2 parts red with 3 parts cream and 1 part blue.

Ratio is 2:3:1

Now we are given that we need to calculate how much cream and blue paint will you need to mix with 4 litres of red

Since we are mixing 2 parts of red and we have 4 litres

⇒2 times 2 = 4 litres

So, since they mix 3 parts of cream

Thus 3*2= 6 lites

So they use 6 liters of cream.

Since they mix 1 parts of blue

Thus 1*2= 2 liters

So, they use 2 liters of blue.

The cream paint is 3/2 of the red, since there are three parts cream for every two parts red. Similarly, the blue paint is 1/2 of the red. Thus, there are 3/2*4=6 liters cream paint and 1/2*4=2 liters blue paint.

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Variable y varies directly with variable x, and y = 6 when x = 4. Enter the constant of variation in lowest terms. y =__x

In an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the yield of wheat (bushels per acre). The data for a 9 year period is given in the table. The equation of the line of best fit for this data is y = 47.3 + 0.78x. How many bushels of wheat per acre can be predicted if it is expected that there will be 17 inches of rain?