Humans blink their eyes about once every 5 seconds. How many times do humans blink their eyes in two hours
1 answer:
You might be interested in
Answer:
YES
NO
NO
Step-by-step explanation:
The given polynomial is:
(x - a) is a factor of a polynomial iff x = a is a solution to the polynomial.
To check if (x - 5) is a factor of the polynomial f(x), we substitute x = 5 and check if it satisfies the equation.
∴ f(5) = 5³ + 4(5)² - 25(5) - 100
= 125 + 100 - 125 - 100
= 225 - 225
= 0
We see, x = 5 satisfies f(x). So, (x - 5) is a factor to the polynomial.
Now, to check (x + 2) is a factor.
i.e., to check x = - 2 satisfies f(x) or not.
f(-2) = (-2)³ + 4(-2)² - 25(-2) - 100
= -8 + 16 + 50 - 100
= -108 + 66
≠ 0
Therefore, (x + 2) is not a factor of f(x).
To check (x - 4) is a factor.
∴ f(4) = 4³ + 4(4)² - 25(4) - 100
= 64 + 64 - 100 - 100
= 128 - 200
≠ 0
Therefore, (x - 4) is not a factor of f(x).
Answer:
It would take approximately 6.50 second for the cannonball to strike the ground.
Step-by-step explanation:
Consider the provided function.
We need to find the time takes for the cannonball to strike the ground.
Substitute h(t) = 0 in above function.
Multiply both sides by 10.
For a quadratic equation of the form the solutions are:
Substitute a = -49, b = 305 and c=88
Ignore the negative value of t as time can't be a negative number.
Thus,
Hence, it would take approximately 6.50 second for the cannonball to strike the ground.
Answer:
$33
Step-by-step explanation:
Given: Addy had 20% off coupon.
The coupon took $8.25 off of the shirt price.
Lets assume the original cost of shirt be "x".
We know Addy had 20% off coupon, which help to reduce the price of shirt by $8.25.
∴ We can form an equation to know the original price of shirt.
⇒
⇒
Multiplying both side by 5
⇒
∴
Hence, The original cost price of shirt was $41.25.
Next, finding the price paid by Addy for her new shirt by reducing coupon discount from the cost of shirt.
Price paid by Addy for her new shirt=
Hence, Addy paid $33 for her new shirt.
<h3>Answer: 80.94 square cm</h3>
==================================================
Work Shown:
Area of parallelogram = base*height
Area of parallelogram = 11.4*7.1
Area of parallelogram = 80.94 square cm
-------------
notes:
- The base and height always form a 90 degree angle (as shown by the small square marker).
- The side length of 8.9 cm is never used.
- We can write "square cm" as "cm^2" or