8 kilometers
1 kilometer every 6 minutes
After heating up in a teapot, a cup of hot water is poured at a temperature of 203°F.
The cup sits to cool in a room at a temperature of 72°F. Newton's Law of Cooling
explains that the temperature of the cup of water will decrease proportionally to the
difference between the temperature of the water and the temperature of the room, as
given by the formula below:
T = Ta +(T. -T.)e-kt
To = the temperature surrounding the object
To = the initial temperature of the object
t = the time in minutes
T = the temperature of the object after t minutes
k=decay constant
The
cup of water reaches the temperature of 183°F after 2.5 minutes. Using this
information, find the value of k, to the nearest thousandth. Use the resulting
equation to determine the Fahrenheit temperature of the cup of water, to the
nearest degree, after 5 minutes.
Answer:
asd
Step-by-step explanation:
there is a drawing with students name in a bag. there are 13 girls and 12 boys.what is the probability of drawing a girl's name and then a boys if the tickets are not put back in the bag?
Answer:
13 in12
Step-by-step explanation:
HELP ME WITH THIS PLEASEEE !
Answer:
38.525 in²
Step-by-step explanation:
The area formula for a triangle is useful here.
A = 1/2bh . . . . . . b=base length; h=height
A = 1/2(11.5 in)(6.7 in) = 38.525 in²
The area is 38.525 square inches.
Which expression is equal to 6 x (3 + 8)?
OA (6 + 3) < (6 + 8)
OB. (6 x 3) + (6 x 8)
O C. (
63) (6 x 8)
)
D. (6 + 3) + (6 + 8)
+
[tex]6 \times (3 + 8) \\ = (6 \times 3) + (6 \times 8)[/tex]
Answer:
(6×3)+(6×8)
Hope you could get an idea from here.
Doubt clarification - use comment section.
NPM = __?__
Less than BAC
Less than CAB
Less than BCA
Less than ABC
Y= 3x — 5 what is the slope and y-intercept
A line has a slope of 6 and passes through the point (2, 7) . What is its equation in slope "y-intercept" form?
Answer:
C
ON THE EDGE
Step-by-step explanation:
8x-5y=15
6x+4y=43
solve the system by any method
Answer:
[tex]x=\frac{275}{62}[/tex] , [tex]y=\frac{127}{31}[/tex]
Step-by-step explanation:
I will use the elimination method.We want to make the X's the same:
[tex]24x-15y=45[/tex]
[tex]24x+16y=172[/tex]
Because the signs of the X's are the same we subtract the 2 equations to make:
(I put the second one on top of the 1st)
[tex]31y=127[/tex]
So:
[tex]y=\frac{127}{31}[/tex]
Substitute y into either equation 1 or 2:
(I chose equation 1)
[tex]8x-5(\frac{127}{31})=15[/tex]
[tex]8x=5(\frac{127}{31}) + 15[/tex]
[tex]x=\frac{5(\frac{127}{31})}{8}[/tex]
So:
[tex]x=\frac{275}{62}[/tex]
GEOMETRY QUESTION NEED HELP ASAP 20 POINTS
Answer:
24 units
Step-by-step explanation:
I dont know if im right but hope this helps!
Help please please!!!
the sum of two numbers x and y is 18 and their difference is 14. how is that written as an equation
Answer:
x=13
y=5
13-5=8
13+5=18
Step-by-step explanation:
A _______ is a variable, an integer or a product of variables and
integers.
PLEAS ASAP
i wanna sleep
im young
30 POINTS
Answer:
325.5 i think
Step-by-step explanation:
I NEED BOTH OF THESE
60 POINTS
asap
Answer:
107.5
Step-by-step explanation:
20% of 70 = 14
70 - 14 = 66
10% of 45 = 4.5
45 - 4.5 = 41.5
66 + 41.5 = 107.5
At 7 P.M., a burning candle is 16 inches tall. At 9:30 P.M., the candle is only 3.5 inches tall. At what rate is the height of the candle decreasing?
Answer: 5 inches per hour or 2.5 inches per half an hour
Step-by-step explanation:
Amount of Time Passed: 2 hours 30 minutes
Difference in Candle Height: 12.5 inches
12.5 / 2.5 = 5 inches
5 inches per hour or 2.5 inches per half an hour
If it is incorrect, please let me know.
how do you solve 9-3(5-4x)
Answer:
-6+12x
Step-by-step explanation:
9-15+12xmultiply -3(5-4x), calculate the difference
-6+12x
A triangle has sides with lengths of 4 meters , 5 meters, and 7 meters . Is it a right angle ?
Answer:
No
Step-by-step explanation:
can someone answer this
Answer: The equation is not an identity
==========================================================
Explanation:
We'll expand out the right hand side to see if we can simplify it to the left hand side. The stuff on the left will stay the same for each step.
I'll use c = a+b as a way to help distribute.
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = c(a^3 - a^2b-ab^2 + b^3)\\\\a^4 + b^4 = a^3c - a^2bc-ab^2c + b^3c\\\\a^4 + b^4 = a^3(c) - a^2b(c)-ab^2(c) + b^3(c)\\\\a^4 + b^4 = a^3(a+b) - a^2b(a+b)-ab^2(a+b) + b^3(a+b)\\\\a^4 + b^4 = a^4+a^3b - a^3b-a^2b^2-a^2b^2-ab^3 + ab^3+b^4\\\\a^4 + b^4 = a^4+(a^3b - a^3b)+(-a^2b^2-a^2b^2)+(-ab^3 + ab^3)+b^4\\\\a^4 + b^4 = a^4-2a^2b^2+b^4\\\\[/tex]
Unfortunately, we can't go any further. We have a^4 and b^4 on the right hand side, but we also have the term -2a^2b^2 that didn't cancel out. Therefore, the original equation is not an identity.
----------------
Here's another way you can see that we don't have an identity.
Let's say we fixed 'a' to be equal to 1.
That means the equation
[tex]a^4 + b^4 = (a+b)(a^3 - a^2b-ab^2 + b^3)[/tex]
would turn into
[tex]1^4 + b^4 = (1+b)(1^3 - 1^2b-1b^2 + b^3)[/tex]
and simplify to
[tex]1 + b^4 = (1+b)(1 - b-b^2 + b^3)[/tex]
Now replace b with x and you'll have the two equations to represent the left and right hand sides
[tex]y = 1+x^4\\y = (1+x)(1-x-x^2+x^3)[/tex]
which you can graph on the same xy axis. You should note that the two equations produce different curves. The curves would need to be identical if we wanted an identity to happen.
Side note: you can pick other values for 'a' instead of just 1.
GOAL: Your goal is to create a collage out of real life scenario that involves one of the different kinds of variation. Create a collage showing how variation can be applied in the current situation in the world right now. ROLE: Artist AUDIENCE: Art Enthusiast SITUATION: You have participated in a contest and must make an artwork with a theme: “MATH IN THE NEW NORMAL: ADOPTING, CONNECTING AND ENJOYING”. As an aspiring artist you are going to show people how variation is important in real life. PRODUCT: Collage with problems and solution involving variation STANDARD FOR ASSESSMENT: Clarity, Accuracy and Creativity
Answer: How is this math
Step-by-step explanation: What can I help you with? I’m not sure what you’re asking
Solve for x if log(2x-7) = 0
Answer:
x=4
Step-by-step explanation:
log(2x-7) = 0
10^[log(2x-7)] = 10^0
2x-7 = 1
2x = 8
x = 4
Hello, I really need help with this question. It is talking about true or false statement referring to a graph. Please tell me which statements are true or false.
im wasting so many points on these
help please
Hello, again!! :p
I'm not sure about the whole equation because I was taught to solve it in a different way and I got the answer =3 ± i√ 6 ,not a -3.
Sorry, I'm not sure if that was much help!
what is a2? ai + 1=ai +1 a0=0 ?
If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then
a₁ = a₀ + 1 = 0 + 1 ⇒ a₁ = 1
and
a₂ = a₁ + 1 = 1 + 1 ⇒ a₂ = 2
i hope it helped you :P
it was easyy!!!
please help me !!! omaths student see the attached question
Answer:
34.64m
Step-by-step explanation:
Tan30= x(height) /60
x=60tan30
=34.64m
What is the reciprocal of A if A doesn't equal 0?
Answer:
1/a
Step-by-step explanation:
Help
Activity:
2x²2+2x-312=0
Answer:
Step-by-step explanation:
HELLPPPP PLEASEEEE IM GIVING 100 POINTS
which is the equation of the line in slope-intercept form
Enter your answer in the boxes
Y=__x+__
Answer:
Y= -5x + 6Y
Step-by-step explanation:
(-5, -2.5) to (1.5, 6)
How do the values compare? Order the values from least to greatest.
-1/2
| -2 |
| 1/2 |
| -2 1/2 |
- 2 1/2
1 1/2
For a given set of populations and house sizes, different methods of apportionment
may lead to different apportionments.
True
False
Answer: the answer should be true
Solve the equation for x: 2^3 square root 3x+2 = ^3 square root 4x-9
A) x=-5/4
B) x= -13/2
C) x=25/28
D) x=-7/20
The value of x = -5/2
To solve this question we must understand the concept of indices.
What are Indices?Indices in mathematics show the power to which an expression or variable is raised.
Here, the correct format of the equation given in the question as follows:
[tex]\mathbf{2 \sqrt[3]{3x +2}} \mathbf{= \sqrt[3]{4x -9} }[/tex]
[tex]2(3x+2)^{1/3} = (4x -9)^{1/3} \\ \\ (6x + 4)^{1/3} =(4x -9)^{1/3}[/tex]
Multiply the power of both sides by 3
(6x + 4) =(4x -9)
6x - 4x = -9 + 4
2x = -5
x = -5/2
Learn more about indices here:
https://brainly.com/question/10339517