MATHEMATICS HIGH SCHOOL

A certain liquid has a density of 2.67 g/cm3. 30.5 mL of this liquid would have a mass of ________ Kg. 0.0114
11.4
0.0814
0.0875 81.4

Answers

Answer 1
Answer:

Answer:

One ml is equal to a cm3, then

m=2.67g/cm3*30.5cm3

m=81.435g

If we divide this quantity by 1000 to pass this to Kg we get:

m=81.435/1000=0.081435kg

Step-by-step explanation:

Remember the formula of density is density=mass/volume, if we solve for mass we get:

mass=density*volume

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Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds.When will the ball hit the ground?

Answers

Answer:

the ball hit the ground at t=6\ sec

Step-by-step explanation:

we have

h(t)=-16t^(2) +96t

This is the equation of a vertical parabola open downward

The vertex is a maximum

we know that

The x-intercept of the function is the value of t when the value of h(t) is equal to zero

The ball hit the ground when h(t) is equal to zero

equate the function to zero  and solve for t

0=-16t^(2) +96t

Factor the leading coefficient

-16t(t -6)=0

The solutions are

t=0, t=6\ sec

therefore

the ball hit the ground at t=6\ sec
I guess the function is h(t) = -16t^2 + 96t (instead of f(t) )

When the ball hits the groung h(t) = 0

Then solve the equation for t

- 16t^2 + 96 t = 0

Divide by -16

t^2 - 6t = 0

t(t-6) = 0

t =0  is when the ball is kicked off

t = 6 is the answer.

15-1.5/d in word phrases

Answers

fifteen minus the quotient of one point 5 divided by a number
15 subtract the quotient of 1.5 and d.

Solve for
a. 7a-2b = 5a b

Answers

For this case we have the following expression:

From here, we must clear the value of a.

We then have the following steps:

Place the terms that depend on a on the same side of the equation:

Do common factor "a":

Clear the value of "a" by dividing the factor within the parenthesis:

Answer:

The clear expression for "a" is given by:

Answer:  The required value of a is (2b)/(7-5b).

Step-by-step explanation:  We are given to solve the following equation for the value of a:

7a-2b=5ab~~~~~~~~~~~~~~~~~~~~~(i)

Since there are two unknowns and only one equation , so the value of a will definitely contain the value of b.

The solution of equation (i) for a is as follows:

7a-2b=5ab\n\n\Rightarrow 7a-5ab=2b\n\n\Rightarrow a(7-5b)=2b\n\n\Rightarrow a=(2b)/(7-5b).

Thus, the required value of a is (2b)/(7-5b).

There are 6 numbers on a normal dice. What is the probability that if you roll the dice, you'll get a number less than 5?

Answers

There are six numbers on a dice (6 out of 6). 
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So there is a 4 out of 6 chance (4/6) that you will roll a number less than 5.

Anits takes 8 hours to build 5 birdhouses. How many birdhouses could she Build in 24 hours?

Answers

The answer would be 15 because the problem states that it takes 8 hours to build 5 birdhouses and they want to know how many she can build in 24 hours if you multiply 8 and 5 with the number 3 you would get 24 hours and 15 birdhouses.

Which is 216 written as a power of a number? a. 6^3
b. 3^6
C. <------
108^2
d. 72^3

Answers

a) 6^(3) =216

b) 3^(6) =729

c) 108^(2) =11664

d) 72^(3) =373248

Answer: A

216 = 6^(3)
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