Ms. Kumar has a checking account at the bank. If the account balance ever

Should it be facing left or right ?

riadik2000 [5.3K]

Answer:

Facing Right

Step-by-step explanation:

Given inequalities are:

4-x≤-1

Subtracting 4 from both sides

4-x-4≤-1-4

-x≤-5

Multiplying both sides with -1. Multiplying with a negative number changes the sign of the inequality

So,

x≥5

Second Inequality:

2+3x≥17

Subtracting 2 from both sides

2+3x-2≥17-2

3x≥15

Dividing both sides by 3

x≥5

Union of both solutions:

x≥5 ∩ x≥5

=> x≥5

Hence the solution will be facing right on the number line towards all numbers greater than or equals to 5 ..

3 0

3 years ago

Of 0 number 2.) Four more than the square root five. What is the number? is

yan [13]

Well the square root of 5 is 2.3607 and if you add four to that you get 6.3607. is this what you are asking?

3 0

3 years ago

What does 807 divided by 7

Contact [7]

807 divided by 7 = 115.2857143

6 0

3 years ago

A baseball is dropped from a glider 500 feet above the ground. The height (in feet) above the ground is modeled by the function

Sophie [7]

A) 436 ft

B) t = 5 sec

C) 5.60 s

Step-by-step explanation:

A)

The height of the ball at time t is given by the equation

$h(t)=-16t^2+500$

where

$-16 ft/s^2$ is the acceleration of the ball (acceleration of gravity, downward)

+500 is the initial height of the ball, at time t = 0

Here we want to find the height of the ball after 2 seconds, so at a time of

t = 2 s

Substituting into the equation, we find:

$h(2)=-16\cdot 2^2+500=436 ft$

B)

Here we want to find the time it takes for the ball to fall to a height of 100 feet above the ground, so the time t at which

h(t) = 100 ft

As stated in the text of the question, the height of the ball at time t is given by

$h(t)=-16t^2+500$

Since

h(t) = 100, we have

$100=-16t^2+500$

And solving for t we find:

$16t^2=400\\t^2=25\\t=\pm 5$

So, the correct solution is the positive one:

t = 5 sec

C)

The ball reaches the ground when the height of the ball has became zero:

$h(t) = 0$

The height of the ball at time t is given by

$h(t)=-16t^2+500$

And substituting

h(t) = 0

We get

$0=-16t^2+500$

And solving the equation for t, we find the time t at which the ball reaches the ground:

$16t^2=500\\t^2=31.25\\t=\pm 5.6 s$

So, the correct solution is the positive one:

t = 5.60 s

3 0

4 years ago

What is 16,700,000,000,000,000 estimated as the product of a single digit and a power of 10?

True [87]

For short you call this scientific notation.
FIRST
Count how many time you need to move the decimal over to make your single digit more then 1 and less then 10. So we will erase the 0's as we go along.
167000,000,000,000
So in this case we want to make the single digit 1.67 so it can be greater then 1 and less then 10
So now we see how many times we need to move the decimal and when you cant see the decimal just imagine it at the very end of the problem
167000,000,000,000
(For the mods out there I copied and pasted the bold number so i didn't have to take a while to retype the whole number. Thanks.)
SO NOW I get 14 because that's how many spots the decimal moved over.
Now since we need to right it in SN we need to write out this
X*10^X
The exponent X stands for how many times we moved the decimal over. I got 14 so we have that exponent
X*10^14
NOW We need to fiqure out X.... X was just the number we made greater then one and less then 0.
So thats 1.67
So we get
1.67*10^14

Did this help? <3

4 0

3 years ago