Answer:
4y(7y - 6)
Step-by-step explanation:
Fernando built a robot to filter air and water efficiently. He expects the robot to filter more than 512 liters
of air and water while using less than 9 Joules of energy.
A represents the number of minutes the robot filters air, and W represents the number of minutes the
robot filters water.
21A + 14W > 512 represents the number of minutes the robot filters air and water to filter more than
512 liters of air and water.
0.36 A + 0.6W < 9 represents the number of minutes the robot filters air and water while using less
than 9 Joules of energy.
Does the robot meet both of Fernando's expectations by filtering air for 15 minutes and filtering water for
5 minutes?
The robot does not meet both of Fernando's expectations.
A represents the number of minutes the robot filters air.
W represents the number of minutes the robot filters water.
What is inequality?Inequality is a statement stating two expressions are not equal.
Expectation 1:
21A + 14W > 512
Given A=15 minutes
W=5 minutes
So, 21A + 14W =21*15 +14*5 =370
370<512
So, the robot does not meet Fernando's first expectation.
Expectation 2:
0.36 A + 0.6W < 9
A=15 minutes
W=5 minutes
So, 0.36 A + 0.6W =0.36*15+0.6*5 = 8.4
8.4<9
So, the robot meets Fernando's second expectation.
Hence, the robot does not meet both of Fernando's expectations.
To get more about inequalities visit:
https://brainly.com/question/24372553
A polygon is transformed using the rule (x, y) (3x, 3y). Which statement best describes the transformation?
A. An enlargement by a scale factor of 3
B. An enlargement by a scale factor of 1/3.
C. A reduction by a scale factor of 3.
D. A reduction by a scale factor of 1/3.
Answer:
A) an enlargement by scale factor of 3Step-by-step explanation:
Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.
Answer: 339.29ft^3
Step-by-step explanation:
The formula for a cylinder is πr^2h
In your scenario, r=8 and h=3 so put those into the equation -
π8^2(3) and just solve!
Jeff took his son to Great Clips to get his hair cut. His hair cut cost $9 with tax
included. Jeff left a 20% tip. How much was his total?
Answer:
$10.80
Step-by-step explanation:
That’s the answer
solve for r, A=P(1+mr)
can someone tell me i really need it asap
Answer:
A
Step-by-step explanation:
4/CD=CD/5
CD^2=20
CD=sq rt 20=2sq rt 5
The expression (x^13)(x^6) is equivalent to x^p. What is the value of p?
Answer:
p=19
Step-by-step explanation:
since the instructions say that ([tex]x^{13}[/tex])([tex]x^{6}[/tex]) is equivalent to [tex]x^{p}[/tex], we can make the equation:
([tex]x^{13}[/tex])([tex]x^{6}[/tex])=[tex]x^{p}[/tex]
now, apply the laws of exponents; [tex]a^{m} * a^{n} =a^{m+n}[/tex]
in that case, since we're multiplying x to the 13th power by x to the 6th, the result is [tex]x^{13+6}[/tex], which is [tex]x^{19}[/tex]
the equation now:
[tex]x^{19}[/tex]=[tex]x^{p}[/tex]
since the exponents are at the same base, we can solve the equation
19=p
so p is 19
hope this helps :)
PLEASE HELP ASAP!!!
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 1 intermediate stop on the way to New York and 1 intermediate stop on the way back to Chicago. Suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. How many times will the graph touch the horizontal axis?
Answer:
should be 2 excluding the start (origin)
Step-by-step explanation:
What do I do 900m = 2.700
Step-by-step explanation:
given
900m = 2.700
m = 2.700 / 900
m = 0.003
Hope it will help :)
what is the first step in solving x-4=4
Answer:
add four to both sides of the equation
Step-by-step explanation:
x=4+4
x=8
U are suppose to find out what they did wrong in the first box. Then in the secon box show the correct way. Help me and if u don’t know don’t answer
Answer is 3
Step-by-step explanation:
first what you do is you rearrange the numbers so the eqaution is -2x+4=-2
SO what you do is (4) - 4 to cancel it out then you do the same thing on the other side so (-2)-4=-6 so the equation now is -2x=-6 then you divide -2 to cancel it out and you do the same thing -6 divide by -2 is 3 so the answer is 3
I need help with these questions. Please show workings.
Answer:
see explanation
Step-by-step explanation:
∠ AOB = 360° - 264° = 96°
The altitude OM bisects ∠ AOB and the base AB
(a)
∠ MOB = 0.5 × 96° = 48°
Using the cosine ratio in right triangle MOB
cos48° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{OM}{OB}[/tex] = [tex]\frac{18}{r}[/tex] ( OB is the radius r of the circle )
Multiply both sides by r
r × cos48° = 18 ( divide both sides by cos48° )
r = [tex]\frac{18}{cos48}[/tex] ≈ 27 cm ( to the nearest cm )
(b)
Using the tangent ratio in the right triangle MOB
tan48° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{MB}{OM}[/tex] = [tex]\frac{MB}{18}[/tex] ( multiply both sides by 18 )
18 × tan48° = MB then
AB = 2 × MB = 2 × 18 × tan48° = 36 × tan48° ≈ 40 cm ( to nearest cm )
Calculate angle y
Can somebody work this out?
Answer:
y = 110
Step-by-step explanation:
ABCD is a cyclic quadrilateral ( its vertices are on the circle )
The opposite angles are supplementary, sum to 180° , then
∠ C = 180° - 70° = 110° , thus
y = 110
find the slope
y=-2x+4
Answer:
srry i need the points so i can go to sleep because i have to fish my work
Step-by-step explanation:
You roll a six-sided die. What is the probability that it is a 5 or an even number? Write your answer as a decimal rounded to the nearest thousandth. The probability is about
Answer:
4/6 chance
Step-by-step explanation:
there is a 4/6 probability this will happen
Renting a canoe in a nautical center costs $ 5 per hour and $ 5 for each additional hour. Determine the equation of the function that reflects this situation.
Answer: 5 + 5w
Step-by-step explanation:
We can use the variable x to describe each additional hour, although the vairable can be substituted for any other vairable.
We know that the main cost for one hour is $5, and that each additional hour will cost $5.
Therefore, the equation to reflect this situation would be 5 + 5w, because the first 5 represents the first hour, and the 5w represents how much each hour costs. If you rent two extra hours, then the cost would end up being 15, because the equation would become: 5 + (5x2) = 15.
The equation is 5 + 5w. Hope this helps, and good luck!
PLS HELPPPP GRADES DUE!
Answer:
Step-by-step explanation:
Starting with ΔABC, draw the dilation image of the triangle with a center at the origin and a scale factor of two. Notice that every coordinate of the original triangle has been multiplied by the scale factor (x2). Dilations involve multiplication! Dilation with scale factor 2, multiply by 2
Answer:
Yea wut she said ._. above me...
Step-by-step explanation:
I need help! I would appreciate if you show me the work! Thank you !
Answer:
-11 for the first one and 0 for the second one
Step-by-step explanation:
y=-3x + 4
y= 3x - 2
Solve using Elimination Method
Answer:
x=1
y=1
Step-by-step explanation:
-3x+4=3x-2
-3x+3x+4=3x+3x-2
4=6x-2
4+2=6x-2+2
6=6x
x=1
y=3(1)-2
y=1
When would you use the vertical line test?
A. to test whether a graph is linear
B. to test whether a graph has an x-intercept
C. to test whether a graph is continuous
D. to test whether a graph represents a function
Answer:
D. to test whether a graph represents a function
Step-by-step explanation:
The vertical line test is used to determine if a graph of a relationship is a function or not.If you can draw any vertical line that intersects more than one point on the relationship, then it is not a function.
Answer:
D. to test whether a graph represents a function
Step-by-step explanation:
I got it right on my test
I hope this helps :)
Owen has a 15 ft ladder, the instructions say that the base of the ladder should be 6 ft from the wall. How high up the wall will the top of the ladder be? Please explain your work. PLS HELP! WILL GIVE BRAINLIEST TO BEST ANSWER! 15 POINTS PER PERSON! PLS HELP QUICKLY!
Answer:
height = 13.75 feet
Step-by-step explanation:
use the Pythagorean theorem
hypotenuse^2 =base^2 + height^2
15^2 = 6^2+height^2
225 = 36 + height^2
189 = height^2
height = 13.75 feet
tristan has 12 ounces of coffee. he drinks 2 ounces. what is the percentage of ounces Tristan has left of his coffee
Answer:
Step-by-step explanation:
There is a bag filled with 4 blue, 3 red and 5 green marbles. A marble is taken at random from the bag, the colour is noted and then it is not replaced. Another marble is taken at random. What is the probability of getting 2 reds?
Answer:
Step-by-step explanation:
4+3+5= 12 marbles
3/12 * 2/11 = 6/132 = 4.5%
Audrey and her little brother have been saving money to buy a new gaming system. So far, Audrey has saved $72. Her little brother has saved $9. How many times as much money as her little brother has Audrey saved?
Answer:
The answer is 648
8x + 6 = 2(4x + 3) is there a solution?
Answer:
All real numbers would be your solution to this question. <3
Step-by-step explanation:
Answer:
all real numbers are solution
Step-by-step explanation:
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)
Answer:
(3x+1) (x-2)
Step-by-step explanation:
hope this helps!!
Answer:
(3x+1)(x-2)
Step-by-step explanation:
3x² - 5x - 2
= (3x² + x) + (-6x -2)
= x(3x+1) -2(3x+1)
= (x-2)(3x+1)
A person invest $3000 in a bank the bank pays 6.75% interest compounded semi annually to the nearest 10th of a year how long must a person leave the money in the bank until it reaches $6700
Answer:
It would take 12.1 years.
Step-by-step explanation:
We are given with $3000 invested in bank pays 6.75% interest compounded semi annually to the nearest 10th. We are asked to find the number of years the bank reaches $6700.
Let's use the compound interest formula.
[tex]A= P(1+\frac{r}{n}) ^{nt}[/tex]
We know A=6700
P=3000
r =0.0675
n=2(because compounded semiannually)
t =?( we need to find it)
Plug in the known values into the formula.
[tex]6700=3000(1+\frac{0.0675}{2}) ^{2*t}[/tex]
Simplify and solve for 't'
Divide both sides by 3000
[tex]2.23333= (1.03375)^{2t}[/tex]
Take log on both sides
[tex]log(2.23333) = 2t log(1.03375)[/tex]
Divide both sides by log(1.03375)
24.2067=2t
Divide both sides by 2.
t=12.10...
To round to nearest 10th, we get t=12.1 years.
Pls helpppp I don’t know how to do this
Answer is 53911
Step-by-step explanation:
Just multiply to get the answer
Answer:
The answer is 526.5
Step-by-step explanation:
First, I separated the shapes. Then, I found the area of each shape. The area of the triangle was 149.5, and the area of the rectangle was 377. Finally, I added them together and got 526.5.
HOPE THIS HELPED!!! PLEASE VOTE BRAINLIEST!!
3a.) Today, everything at a store is on sale. The store offers a 20% discount. 1 poin
The regular price of a T-shirt is $18. What is the discount price? *
Your answer
Answer:
14.40
Step-by-step explanation:
100%-> 18
100-20=80
80%-> 14.40
Given f (x) = 9x– 15, find f (3).
Answer:
f(3)=12 should be the answer
Step-by-step explanation:
replace x with 3 and solve