Answer:
Step-by-step explanation:
Given the rate at which the elevator travels modeled by the expression;
y = 30x where y is the height, in feet, and x is the number of seconds.
If the observatory in the John Hancock Center in Chicago is located in the top floor, 900 feet above the ground, we can calculate the time taken to reach the top floor by substituting y = 900 into the equation and solve for x as shown;
y = 30x
900 = 30x
Rearrange
30x = 900
Divide both sides by 30
30x/30 = 900/30
x = 30
Hence it takes 30seconds for the elevator to reach the top floor
What is algebraic notation?
Algebraic notation is a method for recording and describing the moves in a game of chess. It is based on a system of coordinates to uniquely identify each square on the chessboard.
Expand the logarithm fully using the properties of logs. Express the final answer in
terms of log .
log 6x^4
Answer:
P=log(2)+log(3)+4.log(x)
Step-by-step explanation:
To solve the problem, we need to recall the following properties of the logarithms:
[tex]log(x.y)=log(x)+log(y)[/tex]
[tex]log(x^y)=y.log(x)[/tex]
We have the expression:
[tex]P=log(6x^4)[/tex]
Factor 6=2*3:
[tex]P=log(2\cdot 3x^4)[/tex]
Apply the property of the product:
[tex]P=log(2)+log(3)+log(x^4)[/tex]
Now apply the property of the exponent:
P=log(2)+log(3)+4.log(x)
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
O 40
O 77
O 4,096
O 9,317
if you can, help please thank you! :)
Bobby has $150 in his account and saves $100 per week. Erick has $350 in his account and saves $50 a week. Choose the equation that you would use to find out how many weeks it would take for them to have the same amount in each account.
Answer: It will take him 20 weeks cuz calculating it
Step-by-step explanation:
what is an equation that passes through -1,2 and is parallel to the point 3x+y=3 ?
Answer:
y=3x+5
Step-by-step explanation:
For this you can use the point-slope formula: y-y1=m(x-x1). Since the line we're looking for is parallel, both slopes are equivalent.
First, you have to rewrite the primary equation into standard form, which would rewrite to y=3-3x or y=-3x+3. Then, you can use the information we have in the point-slope formula:
y-(2)=3(x+1)
y-2=3x+3
y=3x+5
Check:
(2)=3(-1)+5
2=-3+5
2=2
PLEASE HELP ME i will give points
Answer:
40 degrees
Step-by-step explanation:
There are parallel lines and a transversal. That means that angle a and b are congruent due to corresponding angles theorem.
5x-5=3x+13
Move the variables on one side and numbers on the other. 2x=18
Finally, x=9 And then after you plug it in, your final answer for angle b is 40 degrees.
Answer:
Step-by-step explanation:
Well both angles are the same because the lines are parallel and then there is a line going through them so <A = <B meaning
5x-5=3x+13 and then you solve
5x - 3x = 13 + 5
2x = 18
x = 9
1. Hallar "x": 2(x+1)-3(x-2) < X+6
a. x < -1
b. X> 1
C. X<1
d. x>-1
Me ayudan porfaaa
Answer:
b. x > 1
Step-by-step explanation:
remove the parentheses
cancel the equal terms on both sides of the inequality
collect like terms
devide the both sides
very important. do not forget my the five starsHydrochloric acid (HCl) is combined with cesium hydroxide (CsOH) in a neutralization reaction.
Which ions will combine to form a salt? Check all that apply.
A. H+
B.H3O+
C.Cl-
D.Cs+
E.OH-
Answer:
HCl + CsOH --> CsCl + H2O
So the ions making up the salt: Cl- and Cs+
Answer:
H+
H3O+
C. Cl-
D.Cs+
OH-
Toni is a plumber she charges 30$ to come to a house and 20 $ for every hour she works write an equation to model the situation
Answer:
y=20x+30
Step-by-step explanation:
30 is the cost she charges to come to the house, 20 is the amount she charges for every hour she is there
Step-by-step explanation:
the answer is y=20x+30
Your phone plan charges you an initial fee, and then a certain amount depending on the amount of data you use. They send you periodic updates of your usage and your current bill cost. After using 3 GB of data, you owe $30. After 5 GB of data, you owe $40. What is the cost per GB of data?
Answer:
$5
Step-by-step explanation:
Let
x = initial fee
y = fees depending on the amount of data he use
After using 3 GB of data , he owes $30.
After using 5 GB of data , he owes $40.
The equations are
x + 3y = 30 (1)
x + 5y = 40 (2)
Subtract (1) from (2) to eliminate x
5y - 3y = 40 - 30
2y = 10
Divide both sides by 2
y = 10/2
y = $5
Substitute y = 5 into (1)
x + 3y = 30
x + 3(5) = 30
x + 15 = 30
x = 30 - 15
x = $15
Cost per GB of data = $5
Please help me ASAP.
Answer:
C
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
can someone help me with the math on my page i will mark them brainliest pls
Answer:
Step-by-step explanation:
ok
Multiple choice Inqualities.
Answer:
y=8.35
Step-by-step explanation:
if substituted for y
8.35/2.7 is 3.0925
which IS less than or equal to 3.5
Find f'(x) if f(x)=3x- 12
Answer:
4
Step-by-step explanation:
f(x) = 12 and f(x) = 3x
12/3 = 4 and the function for f(x) is 3(4)
The derivative of the function f(x) = 3x - 12 is 3.
What is a derivative ?Derivative of a function measures the rate of change of a function it can also be defined as the slope of the function.If given dy/dx it states the rate of change of y with respect to x.
According to the given question we have find the first derivative of the function f(x) = 3x - 12.
Given f(x) = 3x - 12
f'(x) = 1(3)x¹⁻¹ + 0 ( derivative of any constant is 0 )
f'(x) = 3x⁰.
f'(x) = 3.
learn more about derivative here :
https://brainly.com/question/25324584
#SPJ2
Stacey is going rock climbing.She stats 2.5 kilometers up a cliff , climbes up 7 more kilometerd and then climbs all the way down to the bottom of the cliff. What is the total distance of her climb ?
Answer:
19 kilometers
Step-by-step explanation:
2.5 kilometers + 7kilometers
= 9.5 kilometers
+ the additional 9.5 for the trip down
=19 kilometers in total
Stacey total distance for climbing was 16.5 km
Stacey started 2.5 km up the cliff so this 2.5km is not counted as she started at that point.
She then climbed 7 km up the cliff.
After that she climbs back down to the bottom of the cliff. This time she climbs both the 7km she climbed previously, and the 2.5km she hadn't climbed before.
Tracy total climbing distance is:
= Distance climbed up + Distance climbed down
= 7 + ( 7 + 2.5)
= 7 + 9.5
= 16.5 km
In conclusion, Stacey climbed 16.5 km in total.
Find out more at https://brainly.com/question/4250087.
Camila is driving on a long road trip. She currently has 10 gallons of gas in her car. Each hour that she drives, her car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 3 hours? How much gas would be left after tt hours?
Answer:
gas left after 3 hours = 4.75
gas left after t hours = 10-1.75t
Step-by-step explanation:
According to DeltaMath "Since Camila uses 1.75 gallons of gas per hour, she would use 1.75 x 5, or 5.25 gallons in 3 hours. Since Camila started with 10 gallons in the tank, the amount of remaining after 3 hours would be 10-5.25 or 4.75 gallons. "
Sketch a graph of the function f(x) = - (x+2) (x-4) (x-6) by finding the zeroes and determining
the sign of the values of the function between zeroes.
The perimeter of a rectangle is 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle can be described with the equation 2 * length + 2 * width = 48 Find the length, in centimeters, if the width is 10 centimeters
Answer:
14
Step-by-step explanation:
2xL + 2x10 = 48
2xL + 20 = 48
2xL = 28
L = 14
Answer:
14
Step-by-step explanation:
yes
Can someone answer this question please?
Answer:
-5.62
Step-by-step explanation:
I made them all into Improper Fractions, then I made them into decimals, then I added them.
The weight of meteorite A is 5 times the weight of meteorite B. If the sum of their weights is 138
tons, find the weight of each. (Submit all work for full credit).
Please I need help
Answer:meteorite A: 115
meteorite B : 23
Step-by-step explanation: this should be not too hard to understand. but there are 6 equal parts of 138. 5 of those are occupied by the bigger number, 115, which is 5 times as large as 23. also shown as a=5b=115. hope it helps
Can anybody please help me out on question 4? I would really appreciate it so much. Please and thank you .
Step-by-step explanation:
b im not sure but my answer is b
Type the correct answer in the box.
Consider this expression,
(6 – 4i)(6 – 4i) – 3(7 – 11i)
What is this expression written in the form a + bi, where a and b are rational numbers?
Answer:
-1-15i
Step-by-step explanation:
Plato
5x+5y are like terms and can be added together to simplify to 10xy
A.True
B.False
Step-by-step explanation:
B. False
they cannot be written as 10xy but only in 5x+5y
x and y will only become together if they are multiplied
as you can see there's a plus sign
you can add them if it is in 5x+5x (or) 5y+5y but never as in 5x+5y
For field trip the school bought 47 sandwiches for $4.60 each and 39 bags of chips for $1.25 each how much was spent on sandwiches
Answer: 216.2 + 48.75 = 264.95
Step-by-step explanation:
Multiply the amount of sandwiches by the cost.
47 * 4.60 = 216.2
Multiply the amount of chips by the cost.
39 * 1.25 = 48.75
Add them the totals together.
216.2 + 48.75 = 264.95
Delawares population is greater that Vermont's populatin by 299,119 people. What is Delawares population?
this is for my little brother.
Answer:
973,764
Step-by-step explanation:
Write an equation of a line with the given slope and y-intercept:
m=1, b=4
y = 4x + 1
y = x - 4
OA)
OB)
y=-1x + 4
y = x +4
Answer:
y=x+4
Step-by-step explanation:
y=mx+b
for his art project, dorian is using square tiles
Um okay? And then what happened?
Which linear equation passes through the point (-1, 4) and has a slope of -3?
Point Slope Form y-yı = m(x - 1)
Jack traveled 5 miles plus 3 times as many miles as Janice.
He traveled 23 miles in all. How far did Janice travel?
Answer:
Janice travelled 6 miles.
Step-by-step explanation:
23 -5=18
18/3=6
so Janice travelled 6 miles.
What is the missing length of this rectangle?
Answer:
Answer is 11. You have to add the 4 and 7.
In rectangles all sides are either perpendicular or parallel, so you know that the missing side is equal to the bottom 2 horizontal sides added up.
4 + 7 = 11.
The missing side is 11cm.