Answer:
Step-by-step explanation:
Nothing further can be done with this topic.
f ( x ) = 3 x 2 − 10 x − 9
Given that the diameter of a circle is 5 mm, find the radius of the circle.
Answer:
r=2.5mm
Step-by-step explanation:
Using the formula
[tex]\huge\underline{ \sf \: Formulae \: to \: remember \: for \: solving \: the \: question:}[/tex]
[tex] \\{ \sf radius \: of \: a \: circle = \frac{d}{2} where \: d \: is \: the \: diameter \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Given:}[/tex]
[tex] \ \: { \sf The \: diameter \: of \: a \: circle \: is \: 5 mm.}[/tex]
[tex]\huge\underline{\sf To \: find \: out:}[/tex]
[tex] \ { \sf Radius \: of \: the \: circle}[/tex]
[tex]\huge\underline{\sf Solution:}[/tex]
[tex] \\{ \sf The \: diameter \: of \: the \: circle \: is \: 5 \: mm.}[/tex]
[tex] \\{ \sf Therefore \: radius \: of \: the \: circle}[/tex]
[tex]\\{ \sf = \frac{5}{2} \: mm} [/tex]
[tex] \\{ \sf = 2.5 \: mm}[/tex]
[tex]\huge\underline{\sf Answer:}[/tex]
[tex]\\{\sf The \: radius \: of \: the \: circle \: is \: 2.5 \: mm.}[/tex]
The temperature startedat 10 degrees F. The temperature dropped 5
degrees every hour. What was the temperature after 3 hours?
Answer:
-5FStep-by-step explanation:
10-5x3=-5 F
plz hurry!! A person standing close to the edge on top of a 108-foot building throws a ball vertically upward. The quadratic function h ( t ) = − 16 t 2 + 132 t + 108 h ( t ) = - 16 t 2 + 132 t + 108 models the ball's height above the ground, h ( t ) h ( t ) , in feet, t t seconds after it was thrown. a) What is the maximum height of the ball?
Answer:
The maximum height of the ball is 380.25 feet in the air.
Step-by-step explanation:
The quadratic function:
[tex]h(t)=-16t^2+132t+108[/tex]
Models the ball's height h(t), in feet, above the ground t seconds after it was thrown.
We want to determine the maximum height of the ball.
Note that this is a quadratic function. Therefore, the maximum or minimum value will always occur at its vertex point.
Since our leading coefficient is leading, we have a maximum point. So to find the maximum height, we will find the vertex. The vertex of a quadratic equation is given by:
[tex]\displaystyle \left(-\frac{b}{2a},f\left(\frac{b}{2a}\right)\right)[/tex]
In this case, a = -16, b = 132, and c = 108. Find the t-coordinate of the vertex:
[tex]\displaystyle t=-\frac{132}{2(-16)}=-\frac{132}{-32}=\frac{33}{8}=4.125[/tex]
So, the maximum height occurs after 4.125 seconds of the ball being thrown.
To find the maximum height, substitute this value back into the equation. Thus:
[tex]h(4.125)=-16(4.125)^2+132(4.125)+108=380.25\text{ feet}[/tex]
The maximum height of the ball is 380.25 feet in the air.
Sum of 23 and y please help
Answer:
I think it’s -5
A box contains 4 pair of sunglasses. How many outcomes are in the sample space for pulling out a single pair, not returning it, then drawing out a second set of glasses.
a. 8
b. 12
c. 6
d. 9
Answer:
B.12
Step-by-step explanation:
For your first draw you have 4 possible options, then on your second draw you have 3 possible options since you took out a pair. So to figure out the number of possible outcomes you simply multiply the possibilities by each other to get the number of possible outcomes.
You wash 12 cars on Friday and 10 cars on Saturday for our fund-raiser you were also given a $40 donation from somebody who didn't want a car wash if you raised a total of $370 how much money did you earn per car wash
Answer:
$15
Step-by-step explanation:
370-40=330
12+10=22
330÷22=15
15*22=330
A sphere has a volume of approximately 24,416.64 cubic inches (using 3.14 for ).
The diameter of the sphere is ___ inches.
Answer:
diameter = 36 in.
Step-by-step explanation:
V = 4π r^3/3
24416.64 = (4(3.14) r^3)/3
73249.92 = 12.56 r^3
r^3 = 5832
r = cube root of 5832 = 18
diameter = 36 in.