MATHEMATICS HIGH SCHOOL

V^2+3v-5=0
Round to nearest hundredth

Answers

Answer 1
Answer: v² + 3v - 5 = 0
v = -(3) ± √((3)² - 4(1)(-5))
                    2(1)
v = -3 ± √(9 + 20)
                2
v = -3 ± √(29)
            2
v = -3 ± 5.38
            2
v = -1.5 ± 2.69
v = -1.5 + 2.69    or    v = -1.5 - 2.69
v = 1.19    or    v = -3.19

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At the amusement park, the ratio of children to adults is 5:2. If 63000 people visit the park, how many are children?

Answers

If you think about it, the ratio of 5:2, is basically saying that for every 7 people you have, 5 will be children, and 2 will be adults, or 5/7 : 2/7. So you can set it up as a proportion. If you are looking for the number of children (5 for every 7), you could as 5/7 = x/63000. If you did cross-multiplication (5*63000 = 7*x), you would get that 7x = 315000. If you them divide both sides by 7 to get the variable by itself, you would get that x is equal to 45000. This means that out of the 63000 people in the park, 45000 of them are kids.

The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s2. What pressure is exerted by the box where it rests?14.7 N
1.5 N
0.153 N
6.53 N

Answers

The correct answer to the physics problem in pressure given above would be 1.5 N.
 
First, I converted the cm^2 to m^ 2 (31.4 cm^2 = .00314 m^2).

Then I computed for the force (F= mg = (47.1kg)(9.8m/s^2) = 461.58 N) 

Consequently, I used the equation of pressure (P = Force/Area).
P = 461.58 N / .00314 m^2
P = 1.47 or 1.5 N

Answer:

Pressure = 147,000 N.

Step-by-step explanation:

Given : The bottom of a box has a surface area of 31.4 cm². The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s².

To find :  What pressure is exerted by the box where it rests.

Solution : We have given that area of box = 31.4 cm²

First we convert it in meter².

1 meter = 100 cm

31.4 cm² = 0.00314 meter².

Mass of box = 47.1 kg

Acceleration due to gravity = 9.80 m/s².

According to Newton second law of motion , F = mass * Acceleration due to gravity.

F = 47.1 * 9.8

F = 461.58 Newton.

Pressure = (Force)/(Area).

Plugging the values of force and area.

Pressure =  ( 461.58)/(0.00314).Pressure

Pressure = 147,000 N.

Therefore, Pressure = 147,000 N.

24 21 is 60% of what number?

Answers

Answer:

could u explain it better

Answer: either I don't remember if you use the % or the number ok

Hope this helps

2421 × 60 = 145260

2421 × 60% = 1452.6

Step-by-step explanation:

Can someone help me with math?Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.

Answers

An example of a direct variation scenario is the increase in the income of a start-up bakeshop when the number of cakes sold increase. Example data are (4, $ 100), (5, $ 125), (6, $ 150), and (7, $ 175). 

The example of indirect variation scenario is the decrease in time it takes to reach a destination when the speed of the mobile increases. This is shown in the data points: (10 kph, 10 mins), (12 kph, 8 mins), (14 kph, 6 mins), and (16 kph, 4 mins). 

Answer:

Direct

The amount of items you buy at a 1dollar store and the bill

More items—-> more dollars to pay

Time and toms savings if his mother gives him every day a dollar to put in his saving’s can.

More days—->more dollars

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More views —> more costumers

Inverse

Money Bob spends during a month and amount of money in his bank account

More spending—-> less money

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One day passes—-> one day left less

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The function f(x) = x^2 has been translated 9 units up and 4 units to the right to form the function g(x). Which represents g(x)?g(x) = (x + 9)^2 + 4

g(x) = (x + 9)^2 − 4

g(x) = (x − 4)^2 + 9

g(x) = (x + 4)^2 + 9

Answers

Hello,

This is one way:

The vertex is (4,9)

1)g(4)=(4+9)²+4=13²+4≠9

2)g(4)=(4+9)²-4=13²-4≠9

3)g(4)=(4-4)²+9=0²+9=9 yes!!!!

4)g(4)=(4+4)²+9=8²+9≠9

Answer C

Put the following equation of a line into slope-intercept form, simplifying all fractions.12x-20y=60

Answers

Answer:

y= (-3/5)x + 3

Step-by-step explanation:

Slope-Intercept form is y = mx + b, where m is the slope and b the y-intercept.

12x-20y=60   Rearrange

20y=60 -12x

20y= -12x + 60

y= (-12/20)x + (60/20)

y= (-3/5)x + 3
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