Answer:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
Step-by-step explanation:
Given that:
Equation of height of the ball dropped from a height of 10 foot, as:
[tex]h(t) = 10 - 2t^2[/tex]
Where [tex]t[/tex] is the time since the ball was dropped.
To find:
The domain of the function in Interval and set builder notation.
Solution:
Domain of a function is defined as the set of valid input values that can be given to the function for which the function is defined.
Here, input is time.
We can not have negative values for time.
Therefore, starting value for time will be 0 seconds.
And the value of height can not be lesser than that of 0 ft.
[tex]0= 10 - 2t^2\\\Rightarrow 2t^2=10\\\Rightarrow t^2=5\\\Rightarrow t =2.236\ seconds[/tex]
Maximum value for time can be 2.236 seconds.
Therefore the domain is:
Interval notation: [0, 2.236]
Set Builder notation: [tex]\{t\ |\ 0\le t\le 2.236\}[/tex]
Emilio throws a marshmallow into the air from his balcony. The height of the marshmallow (in feet) is represented by the equation h=−16t2+8t+48, where t is the time (in seconds) after he throws the marshmallow.
h= -16t^2+8t+48
Answer:
.18
Step-by-step explanation:
if ^2 is an exponent
(-16t*-16t)+8t+48
(258t+8t)+48
266t+48
48/266
.180
or .18
Solve 2y−18x=−26 for y what is the answer
Answer:
y=-13+9x
Step-by-step explanation:
Answer:
Y=9x-13
Step-by-step explanation:
You put the problem into slooe-intercept form.
What is this answer?
Answer:
negitive 8
Step-by-step explanation:
you would have to use a negitive because 12 os higher than 5 and it has to be over 7 or negitive 7
If the owner wants to paint the deck area, how many square feet of paint will they need to purchase? Your answer should be rounded to the nearest tenth if necessary.
Answer:
9.4
Step-by-step explanation:
3*3.14
Which equation represents the graphed line?
Answer:
A.
Hope this helps!!!!!!!
name the property that each statement illustrates 5 × (12 × x) = (5 × 12 × x
Answer:
Associative property of multiplication.
(a*b)*c = a*(b*c)
Answer:
Associative Property of Multiplication.
Step-by-step explanation:
(a*b)*c = a*(b*c)
Write answer as a decimal or whole number :)
What % of $89.50 = $39.38
20 points
1 pizza can feed 4 people. How much pizza would be needed to feed 18 people?
Answer:
5
Step-by-step explanation:
1 pizza feeds 4
We need to feed 18
18/4 = 4.5
You can have a partial pizza, so you need 5 pizzas to feed 18 people.
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to the 35 hours during the week, how much does he earn? A. What questions do you need to answer to solve the problem.
Answer:
$513.75
Step-by-step explanation:
Let h represent the number of hours he worked in a week
An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends.
Hence, his pay Is represented by equation:
$498.75 + $2.50 × x
If he works 6 hours on the weekend in addition to the 35 hours during the week
$498.75 + $2.50 × 6
= $498.75 + $15
= $513.75
Therefore, he earns $513.75
below are two parallel lines with a third line intersecting them.
Allen's score in a video game was changed by −55 points because he missed some targets. He got −11 points for each missed target. How many targets did he miss?
Answer:
Allen missed 5 targets.
Step-by-step explanation:
You divide -55 by -11 to find how many targets he missed. But when you divide, you have to remember that a negative divided by a negative is a positive, so the answer will be postitive.
-55/-11=5
find the sum of the first 25 multiples of 10.
Answer:
Step-by-step explanation: So the first 25 multiples of 10 are ,
10,10,10,10 ect, to 25 the sum of all of the numbers is 250 i hope this helped!!!
Answer:
3250
Step-by-step explanation:
First 25 multiples of 10:
10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250
1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 = 55
11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 = 155
21 + 22 + 23 + 24 + 25 = 115
55 + 155 = 210
210 + 115 = 325
325 x 10 = 3250
Hope this helped!
write 540 as a product of prime factor
Answer:
The prime factorization of 540 is 2, 2, 3, 3, 3, and 5. To find this answer, we can start by extracting the prime number 5 as one of the factors.
Step-by-step explanation:
PLEASE HELP I NEED THIS NOW PLEASE I WILL MARK BRAINLIST!! Look at the image above to solve please
y − 3x = 4 slope intercept form plsssssssss
Answer:
y = 3x + 4
Step-by-step explanation:
The slope-intercept form of a line is y = mx + b. We add - 3x to 4 to isolate the y.
Cuales son los factores de 210
Answer:
Hola otra vezzz xd
aqui esta otra foto hope it helpss
Step-by-step explanation:
Factores de 210:
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
¡Espero haber ayudado!
Can you guys PLZ answer this question really fast
Answer:
5*10^-7
Step-by-step explanation:
is 5.67 A)rational B)Irrational C)whole D) natural E)integer
HELP HAVING BAD DAY
Find the ratio a:b if it is given that: a 3a=8b
Answer:see answers below
Step-by-step explanation:Slope=
2.000
0.750
=0.375
a−intercept=
3
0
=0.00000
b−intercept=
−8
0
=−0.00000
What is the equation in point slope form of the line that passes through the point (-1, -3) and has a slope of 4?
Oy-1=4(3-3)
Oy+3 = 4(x+1)
Oy+1=4(x+3)
Oy-3 = 4(2 - 1)
Answer:
The answer is y+3 = 4(x+1)Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
So we have
[tex]y + 3 = 4(x + 1)[/tex]
Hope this helps you
7k-10=-8-4(k+6)
Helpp
Answer:
k=-2
Step-by-step explanation:
7k-10=-8-4(k+6)
7k-10=-8-4k-24
7k-10=-32-4k
7k-10=-32-4k
11k-10=-32
11k=-22
k=-2
Step-by-step explanation:
7k-10= -8-4(k+6)
7k-10= -8-4k_24
7k+4k= -8-24+10
11k= -22
k= -22/11
k= -2
A piece of wood 6 m 20 cm long is marked off into 0.1 m lengths.
How many 0.1 m lengths are there?
Answer:
Your Correct answer is 60.2
Step-by-step explanation:
Well, we're solving for how many 0.1m lengths there are in 6m 20cm, there are (60.2) 0.1m lengths.
After 200 feet of drilling on the first well, a soil test is taken. The probabilities of finding the particular type of soil identified by the test are as follows. P(soil | high-quality oil) = 0.20 P(soil | medium-quality oil) = 0.80 P(soil | no oil) = 0.20 How should the firm interpret the soil test? The probability of finding oil is good. Given the probability of finding good soil, the oil company is more likely to find oil. What are the revised probabilities?
Answer:
The revised probabilities are;
The probability of finding soil with oil = 0.8
The probability of finding soil with good oil = 0.16
The probability of finding medium quality oil = 0.64
Step-by-step explanation:
The given probability of finding soil with high quality oil, P(QO) = 0.20
The probability of finding soil with medium-quality oil, P(OM) = 0.80
The probability of finding soil with no oil, P(ON) = 0.2
Therefore, given that the probability of finding soil with no oil = 0.2, we have;
The probability of finding soil with oil, P(OP) = 1 - the probability of finding soil with no oil
P(OP) = 1 - 0.2 = 0.8
Which gives;
The probability, P(FG) of finding soil with oil and that the oil is good is given as follows;
P(FG) = P(QO) × P(OP) = 0.2 × 0.8 = 0.16
The probability of finding good oil = 0.16
Similarly;
The probability of finding medium quality oil P(FM) = P(OM) × P(OP) = 0.8 × 0.8 = 0.64
Which gives the revised probability as follows;
The probability of finding soil with oil, P(OP) = 0.8
The probability of finding soil with good oil, P(FG) = 0.16
The probability of finding medium quality oil, P(FM) = 0.64.
[tex](7y + 5) - (8y - 6)[/tex]
Answer:
7y + 5 - 8y + 6
-y + 11
Step-by-step explanation:
Are these two triangles similar???????!!!!!!! PLEASE HELP! I WILL GIVE BRAINILST AND MANY POINTS!
Answer:
yes the blue one is bigger but the green one is just smaller but if you multiply the sides by two it would be the same size so yeah they are similar
Step-by-step explanation:
Answer:
It's called Dilation when a triangle is the similar but only smaller, but as he said above, multiply the numbers by 2, you can't if they aren't numbers but if you do then it'll be the same size.
Step-by-step explanation:
geometry! help pls asap
i believe the answer is A sry if im wrong
Answer:
C
Step-by-step explanation:
will be your answer
please help can you anser all the quistion please
Answer:
ummm its 2x24 because you still gotta add 3
Step-by-step explanation:
Answer:
Dang, It's called m a t h of the w a y
Step-by-step explanation:
It won't let me say the whole thing but yea use it it helps out alot. so yea Hope this helps :)
RJ solves a math problem on the whiteboard using the Powers of Products Property. Is his answer correct? Explain.
6^3 * 7^3 = 42^3
Select the correct answer.
a:
Yes, because (6*7)^3 is 42^3
b:
No, because 6^3 * 7^3 = 42^6
c:
No because 6^3 * 7^ 3 = 42^9
d:
No, because 6 * 7 = 42
Answer:
Its A
Step-by-step explanation:
Because they have the same answer. <3
Slope = - 3/5, y-intercept = 5
Answer:
y = - [tex]\frac{3}{5}[/tex] x + 5
Step-by-step explanation:
Assuming you require an equation of the line.
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - [tex]\frac{3}{5}[/tex] and c = 5, thus
y = - [tex]\frac{3}{5}[/tex] x + 5 ← equation of line
Problem number 26 of the Rhind Papyrus says: Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15. The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15.. What is the solution to the equation? x = 10 x = 12 x = 15 x = 30
Answer:
[tex] x = 12 [/tex]
Step-by-step explanation:
x = the quantity to find
This quantity added to ¼ of itself gives 15.
Thus, this problem can be represented as given above:
[tex] x + \frac{1}{4}x = 15 [/tex]
Solve for x
[tex] x + \frac{x}{4} = 15 [/tex]
[tex] \frac{4x + x}{4} = 15 [/tex]
[tex] \frac{5x}{4} = 15 [/tex]
Multiply both sides by 4
[tex] \frac{5x}{4}*4 = 15*4 [/tex]
[tex] 5x = 60 [/tex]
Divide both sides by 5
[tex] \frac{5x}{5} = \frac{60}{5} [/tex]
[tex] x = 12 [/tex]
Answer:
B
Step-by-step explanation:
2020 edge