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3 years ago

An arrow is shot vertically upward from a platform 25ft high at a rate of 172⁢ft/sec. When will the arrow hit the ground?

1 answer:

6 0

Hello,

 h= -16t^2+185t+10, h = 0 when it hits the ground
16t^2+185t+10 = 0
t = 11.6sec (to nearest tenth)

Hope this helps

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If a 3,500 investment earns 120 over 3 years, what is the annual rate?

Katarina [22]

Answer:

The annual rate of interest is 2 %

Step-by-step explanation:

Given as :

The investment amount = $ 3,500

The Interest earn on investment = $ 210

The time period = 3 years

Let The annual interest rate = R

From simple interest method :

Simple Interest =

Or, 210 × 100 = 3500 × R × 3

Or, R =

HOPE THIS HELPED!!

5 0

3 years ago

The mass of the particles that a river can transport is proportional to the sixth power of the speed of the river. A certain riv

kari74 [83]

The river flows at 2 miles per hour. This is the speed of the current, or the speed at which the water itself is moving.

The mass of the particles moving in river is proportional to the sixth power of 2, or $2^6 = 64$ miles per hour. So, if x is the mass of the particle, then the speed is modeled by an inverse relationship $x * 2^6 = k$ , for some constant k.

For particles that are 15 times the usual mass, the speed of the river itself must increase for the particles to travel at the same speed as before. The mass of the particles is still proportional to the sixth power of the speed of the river, but the speed of the river can no longer be 2 miles per hour. It is some speed y, which we are solving for.

So, the key here is proportional. We can set up two proportions and cross multiply.

$\dfrac{x}{2^6} = \dfrac{15x}{y^6} \\ (x)(y^6)=(2^6)(15x)$

Cancelling our x's (because we don't need to solve for them), we have

$y^6 = 15(2^6) = 15(64)=960$

To solve for y, we must take the sixth root of both sides, or raise both sides to the one-sixth power.

$\sqrt[6]{y^6} = \sqrt[6]{960}$

Using a calculator, we see that $\sqrt[6]{960} = 3.14 \ miles \ per \ hour$ .

6 0

4 years ago

Question 27 twice a number x added to another number y gives 35 how ??

kenny6666 [7]

Answer:

y+2x=35

so how to get that answer if you divided 35/2= 17.5 so 17 *2= 34 +y= 35

y =1

round it down one number so y can equal 1 then you get 35

5 0

3 years ago

there are 6 rows with 18 chairs in each row. in the fenter of the chairs, 4 rows of 6 chairs are brown. the rest of the chsirs a

GarryVolchara [31]

2 rows of 18 chairs are blue so that is 36 chairs. then 4 rows of 12 chairs are blue so that is 48 chairs 36 plus 48 is 84 total blue chairs

4 0

4 years ago

What is the value of x

mezya [45]

Answer:

x=9.5

Step-by-step explanation:

In order to find the answer, we know that 6x + 4x - 5 = 90

Next we want to combine like terms: 10x - 5 = 90.

Now we have to add 5 to 90 in order to get x on its own. 10x = 95

Now solve for x by dividing 95 by 10: x=9.5

4 0

3 years ago

Read 2 more answers