The elevator of a building is currently 10 feet above ground level on the first floor. The building's elevator rises at a rate of 5 feet per second. You enter the elevator on the first floor. Let t, represent the number of seconds you are in the elevator and h(t) represent the height of the elevator (in feet). Write an equation for h(t) b. What will your height be in 12 seconds? c. What does h(5) = 35 represent?
Answer:
[tex]h(t) = 10 + 5t[/tex]
70 feet
Your height in 5 seconds is 35 feet
Step-by-step explanation:
From the question, we understand that:
[tex]Initial\ Height = 10[/tex]
[tex]Rate = 5[/tex] per second
Solving (a): Equation for h(t)
This implies that the height at t seconds and is calculated as thus:
[tex]h(t) = Initial\ Height + Rate * t[/tex]
Where t represents seconds
Substitute values for Initial Height and Rate
[tex]h(t) = 10 + 5* t[/tex]
[tex]h(t) = 10 + 5t[/tex]
Solving (b): Height in 12 seconds
This implies that:
[tex]t = 12[/tex]
Substitute 12 for t in [tex]h(t) = 10 + 5t[/tex]
[tex]h(12) = 10 + 5 * 12[/tex]
[tex]h(12) = 10 + 60[/tex]
[tex]h(12) = 70[/tex]
Hence, your height will be 70 feet
Solving (c): h(5) = 35 means?
Using the illustration in (b) above;
This means that your height in 5 seconds is 35 feet
A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid?
25 dollars times 0.02
25 dollars times 0.20
25 dollars times 1.20
25 dollars times 2.00
Answer:
B.) 25 dollars times 0.20
Step-by-step explanation:
0.20 = 20%.
Answer: Cost= 25 +0.2*25
Step-by-step explanation:
How does place value
help me subtract decimals?
Place Value helps you subtract decimals because without it it would be a mess. Everything has to be in order if not you get the wrong answer
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
Can someone help show work pls?
Answer:
569
Step-by-step explanation:
hope it will help you
(14-7×7)16
(14-49)16
(-35)16
-560
Write a linear function f with f(5)=7 and F(-2)=0.
Answer:
f(x)=x+2
Step-by-step explanation:
Slope= (7-0)/(5-(-2)) = 7/7 = 1
Y-intercept= 2
substitute the slope, 1, for m and the y-intercept, 2, for b to get:
f(x)=x+2
hope this helps!
The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2
f(5) = 7
This means when x = 5 , y = 7
(5, 7)
f(-2) = 0
(-2, 0)
This implies when x = -2 , y = 0
Using the linear function formula,
y = mx + b
where
m = slope
b = y-intercept
Therefore, the function can be represented as follows:
m = 0 - 7 / -2 - 5 = -7 / -7 = 1
Therefore,
y = x + b
0 = -2 + b
b = 2
The function in relation to x can be represented as follows:
f(x) = x + 2
read more: https://brainly.com/question/13578480?referrer=searchResults
Please help will mark brainliest if correct
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
The table shows the cost of ordering a certain number of pizzas. What is the
value of x if the cost is proportional to the number of pizzas ordered?
Answer:
y=px
so the answer would be $49.95
pretty sure
Step-by-step explanation:
Evaluate the expression 2(3x-2y) when x=5 and y=2
Answer:
22
Step-by-step explanation:
2(3(5)-2(2)
2(15-4)
2(11)
2*11=22
solve for x. √(x+3)=2√(x-1)
Answer:
I got 7/3
Step-by-step explanation:
Hope this helps!!
Answer:
exact form: x=7/3
decimal form: x=2.3 (repeating)
mixed number: x= 2 1/3
Step-by-step explanation:
A new brand of refrigerators and air conditioners saves 15% on power use. Your present monthly power bill averages $200. What would be your monthly savings by using this new brand?
Answer:
$170
Step-by-step explanation:
15 percent of 200 is 30 and 30 minus 200 would be 170
if x=3 which shape has a greater perimeter
Answer:
Quadrilaterial 1
Step-by-step explanation:
The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?
Answer:
The width is 20.625 and the length is 19.375
Step-by-step explanation:
Let 2 1/2 + w = length
Let w = width
Equation:
2 1/2 + w + w = 80 Combine liked terms
2 1/2 + 2w = 80
-2 1/2 -2 1/2 Subtract 2 1/2 from both sides
2w = 77.5
÷ 2 ÷ 2 Divide 2 from both sides
w = 41.25
Length:
2 1/2 + 41.25 = 165/4 or 38.75
Width:
41.25
41.25/2 = 20.625
38.75/2 = 19.375
3. Which relation is a function?
If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent
Answer:
[tex]\large\boxed{\textsf{True.}}[/tex]
Step-by-step explanation:
[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]
[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]
[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]
[tex]\textsf{the same, straight lines.}[/tex]
[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]
[tex]\textsf{angles are congruent to each other.}[/tex]
[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]
The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answer:
2.5
Step-by-step explanation:
The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?
Answer:
Step-by-step explanation:
400*8.25%= $33 tax
The population of a municipality in the beginning of 2071 B.S. was 1,80,000 and at
the end of 2073 B.S. was 2,39,580. Find the rate of growth of population per year.
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
Please hurry bb :) Please don't put the wrong answer if u don't know <3
What is the image point of (1,0) after a translation right 1 unit and up 4 units?
Answer:
(2,4)
Step-by-step explanation:
hope this helps :)
Answer:
(1,0) + 4 up and + 1 right
The answer is (2,4)
What is the image of (0,–8) after a reflection over the line y = –2?
does anyone know this? I dont get it
Answer:
1st one
Step-by-step explanation:
Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.
Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.
HELP PLS EJDHWJDHJ
Answers:
c=0.25p
p=4c
c=.25p
c=1/4p
Hope I' not too late -w-'
Ten less than seven times a number is twenty three.
Answer:
I believe the number is 4.7
Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answer:
400. just use simple devision and it'll tell you.
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.
Answer:
Step-by-step explanation:
okay i will answer but i dont see the question
Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?
Answer: 0.43
Step-by-step explanation: divide
which one is 25%? please help me
So first of all you count all the blocks, so it will be 16 blocks (4x4) sideways and horizontal.
A = 16/4 marked blocks = 25%
B = 16/8 marked blocks = 50%
C = 16/6 marked blocks = ?
D = 16/10 marked blocks = 62,5%
So answer would be A