Answers
Answer:
A) 30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F
B) [tex]f(x)=-0.4x+88[/tex]
Step-by-step explanation:
A)
In this problem, f(x) represents temperature, in degrees Fahrenheit, of Sam’s house x minutes after the air conditioner started to cool the house.
So we have:
x = minutes after the air conditioner started to cool the house
f(x) = temperature
Here we want to find what is the meaning of
[tex]f(30)=76[/tex]
Which implies that:
[tex]x=30[/tex], which means that 30 minutes have passed after the conditioner has started to cool the house
[tex]f(x)=76[/tex], which means that the temperature of the room at that time is 76°F
So, the interpretation of f(30) =76 is that:
"30 minutes after the air conditioner started to cool the house, the temperature inside the house has dropped to 76°F"
B)
Here we want to write explicitly a function that tells us how the temperature inside the house varies as a function of x, the number of minutes passed after the air conditioner has turned on.
We know the following information:
- At time x = 0, the temperature inside the house is 88°F
- At time x = 30 min, the temperature inside the house is 76°F
We can assume that the temperature inside the house changes linearly with time; so, we can describe the temperature function with the equation of a line:
[tex]f(x)=mx+q[/tex]
where
[tex]q[/tex] is the value of the temperature at x = 0, so q = 88
m is the rate of change of the temperature
The rate of change can be found by calculating the rate of change of the temperature with respect to the change in time; so we find:
[tex]m=\frac{76-88}{30-0} =-0.4[/tex]
which means that the temperature decreases by 0.4°F every minute. So, the function can be written as
[tex]f(x)=-0.4x+88[/tex]
Related Questions
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answers
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
Laura is saving to buy a 10-speed bike that costs $189. For four weeks she saved part of her check in the amounts of $15, $39, $18 and $27. How much more does she need?
Answers
Answer:
90$
Step-by-step explanation:
Answer:
$90
Step-by-step explanation:
$15 + $39 + $18 + $27 = $99
$189 - $99 = $90
Hope this helps <3
find the three common multiple of
a)3 and 18
b)9 and 13
c)5 and 17
Answers
Answer:
I think these are the answers
a) 3
b) 1
c) 1
please help asap…………
Answers
Answer: linear
Step-by-step explanation:
A rectangular prism has dimensions of 8 cm by 9 cm by 10 cm. What is its volume? cubic centimeters
Answers
Answer: 288 cubic centimeters
Highlight and name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS, or HL.
Answers
Step-by-step explanation:
Diagram 1
ΔALP ≅ ΔMLN by ASAΔANO ≅ ΔMPO by AAS (angle O is common)Diagram 2
ΔMQW ≅ ΔSRW by SSSΔMQR ≅ ΔSQR by SSS (QR is common side)Diagram 3
ΔAGR ≅ ΔOGR by SSSΔARO ≅ ΔARF by HLDiagram 4
ΔGOS ≅ ΔGTR by ASA (∠G is common)ΔSTU ≅ ROU by AAS (∠U is congruent as vertical and RO = ST)ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answers
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
Which of the following is a run on sentence
Answers
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answers
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
Which of these are ways to measure a resting heart rate?
Select all that apply.
Answers
Answer:
Place the index and middle fingers on the neck to the side of the windpipe to find the pulse.
Place two fingers between the bone and the tendon over the radial artery of the wrist to find the pulse.
Step-by-step explanation:
I did a test and that was a correct answer.
STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3
Answers
Answer:
a.
Step-by-step explanation:
Answer:
A, B, E
Step-by-step explanation:
I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!
2385/3498=15/22
3945/5786=15/22
2340/3588≠15/22
2480/3410≠15/22
4650/6820≠15/22
2310/3696=15/22
Can I get some help on this I have so many assignments to do and I just want to go to sleep
Answers
Dave owns 15 shares of ABC Mining stock. On Monday, the value of
each share rose $2, but on Tuesday the value fell $5. What is the
change in the value of Dave's shares?
To travol tho
Write an expression to represent.
Answers
Answer:
15(2) + 15 (-5) . #45 drop
Step-by-step explanation:
This and one more question, it’s now going to be put at much more points
Answers
Step-by-step explanation:
Number of stickers Rafael has left
= [tex]100 - 6s[/tex]
Substitute [tex]s = 7[/tex]into the expression.
[tex]100 - 6(7)[/tex]
= [tex]100 - 42[/tex]
= [tex]58[/tex]
Can someone solve this for me please? I would be very thankful <3
Answers
Answer:
running speed is horse power
so up with horse
it will tell its power
go and denge it
so you will get your answer by this process
Calculate the exact value of 0.428 ×2.75
Answers
- BRAINLIEST ANSWERER
please help me I really need help
Answers
1) 300 squared cm
2) 105 squared cm
3) about 165.75 squared cm
4) about 211.4 squared cm
hi! can someone please help me with these i’m confused on how to answer it
Answers
Answer:
Step-by-step explanation:
100 points if u get this right ty bye now!
Answers
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Hoped this helped
Answer:
4 mi²
Step-by-step explanation:
Area of Square: Length x Length
=> Area of Square: 2 x 2
=> Area of Square: 4 mi²
Therefore, the area of the square is 4 mi².
Which equations are true and can be used to find the factors of 32? Check all that apply. A. 32 divided by 1 = 32 B. 32 divided by 2 = 16 C. 32 divided by 3 = 12 Or D. 32 divided by 8 =4
Answers
Answer:
A, B, D are correct
Step-by-step explanation:
A. 32 divided by 1 = 32
Works, it is correct
B. 32 divided by 2 = 16
Works, it is correct
C. 32 divided by 3 = 12
Incorrect, 12 x 3 = 36, not 32
D. 32 divided by 8 = 4
Works, it is correct
-Chetan K
can someone please help me solve this!
Answers
Answer:
B
Step-by-step explanation:
[tex]4x^{2}-11x-3=0\\4x^{2}-12x+x-3=0\\4x(x-3) + (x-3) = 0\\(4x+1)(x-3)=0[/tex]
B is factorable through this method
Kirk has already prepared 16.27 kilograms of dough and will continue preparing 5.88 kilograms of dough every hour. How many hours did Kirk work if he prepared 80.95 kilograms of dough
Answers
Answer:
11 hours
Step-by-step explanation:
First, you need to subtract 16.27 from 80.95 to get how many kilograms of dough he had prepared in that amount of time. 80.95-16.27=64.68. Then you would divide 64.68 by 5.88 to find the total amount of hours he worked. 64.68/5.88=11 hours of work.
x^3 - 3x^2 + 4x - 12
Answers
Answer:
(x^2 + 4)(x - 3).
Step-by-step explanation:
I'm guessing you want to factor this.
You can do it by grouping:
x^3 - 3x^2 + 4x - 12
= x^2(x - 3) + 4(x - 3)
= (x^2 + 4)(x - 3).
Write the equation of a line that
passes through the following points
:
Point 2: (0,-8)
Point 1: (-3,0)
Answers
Answer:
[tex]y = \frac{-8}{3}x - 8[/tex]
Step-by-step explanation:
Solving for the equation of the line with two points:
Let's remind ourself of the slope - intercept formula: [tex]y = mx + b[/tex]
We first have to find the slope of the line. This is found by using the formula :
[tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]
We have to find the change in y (Δy) and divide it by the change in x (Δx)
We then have to plug in a coordinate given to us, and use the point's x and y value to find the y - intercept
Step 1: SlopeLet's use the slope formula
[tex]\frac{0 - (-8)}{-3 - 0} = \frac{8}{-3}[/tex]
Slope = -8/3
Step 2: Y - InterceptTo find the y - intercept, we'll update our slope - intercept formula with the slope, and plugin a point. Let's use (-3,0)
[tex]y = \frac{-8}{3}x + b[/tex]
[tex]0 = \frac{-8}{3}(-3) + b[/tex]
[tex]0 = \frac{24}{3} + b[/tex]
[tex]0 = 8 + b[/tex]
[tex]b = -8[/tex]
Step 3: EquationLet's input our slope and y - intercept to the equation [tex]y = mx + b[/tex]
Slope = -8/3
Y - Intercept = -8
Equation: [tex]y = \frac{-8}{3}x - 8[/tex]
-Chetan K
Camelle manages her soccer team. she needs to order 4 practice jerseys for each player. There are y players how many total practice jerseys does she need to order?
write and expression
Answers
Answer:
T= total # of jerseys to order
y= # of players
T= 4*y
Total equals 4 times # of players
T= 4y
Increase 1000 in the ratio 2:5
Answers
Answer:
1400
Step-by-step explanation:
2/5×1000=400
1000+400=1400
Step-by-step explanation:
Let the new quantity be x.
x:1000=2:5
x/1000=2/5
(multiply both side by 1000)
[tex]1000 \times \frac{x}{1000} = 1000 \times \frac{2}{5} [/tex]
[tex]x = 400[/tex]
Use the table to calculate the slope and y-intercept, then write the equation in slope intercept form.
Answers
Answer: y = (28/4)x + 4
Step-by-step explanation:
We'll be using 20, 144 (1) and 24, 172 (2) for this
slope = y2 - y1 / x2 - x1
slope = 172 - 144 / 24 - 20
slope = 28/4
y = mx + b
y = (28/4)x + b
We can then reduce 20, 144 by 4, 28
20, 144
16, 116
12, 88
8, 60
4, 32
0, 4
The y-intercept is when x = 0, so its 4.
Plug that into y = mx + b
y = (28/4)x + 4
The final grade on your math exam was determined by the function f(x) = 100 − 2x. Which statements are correct?
A) 100 is the maximum grade.
B) y equals your final grade.
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems.
Answers
Answer:
A. True
B. True
C. False
D. True
E. False
Step-by-step explanation:
A. True, you cannot get higher than 100 on this test , as you cannot get a negative amount of questions wrongs
B. True, as y = f(x)
C. False, as there is no exponents
D. True, as if x=1, you lose 2 points
E. False, as x is the number of wrong problems
Can someone please solve question 8
Answers
Answer:
22.84
Step-by-step explanation:
Fill in the blank
Never gonna ____ ___ ___, Never gonna let you down, Never gonna run around and _____ you.
Answers
Answer:
give you up desert you
Step-by-step explanation:
give you up desert you
Answer:
NEVER GONNA GIVE YOU UP
AROUND AND DESERT YOU
Extra for fun: NEVER GONNA LET YOU CRY NEVER GONNA SAY GOODBYE (i think)
Step-by-step explanation:
Just is correct trust me exept the extra extra im not fully sure
