Answer:
11
Step-by-step explanation:
f(x) = 2x - 13
9 = 2x - 13 Add 13 to both sides
9 + 13 = 2x Add the left
22 = 2x Divide by 2
22/2 = x
x = 11
Let’s say that you put a cup of cold water in one room and a cup of hot water in another room. Both rooms are room-temperature. Why does the cold water get warmer? Why does the hot water get cooler?
The motion of molecules determines temperature. The faster the particles move, the higher the temperature will be.
A cold cup of water will warm up to room temperature because the energy of the air in the room transfers to the cold water to make the water molecules move faster. The energy goes from hot to cold. The energy transfer is due to the molecules colliding into one another.
The hot cup of water cools down because the energy of the water molecules leaks out to the surrounding air to warm up the air around it, which is why you can feel the heat of the steam of water.
As for why you can feel cold things, its because the energy from your hand moves toward the cold object (again energy going from hot to cold), which makes your brain perceive the cold object.
Write 6.88 billion in standard form.
Answer:
The standard form would be 6,880,000,000..
Find the solution to the initial value problem
y′′+8y′+16=0, y(−1)=2, y′(−1)=3.
Answer:
y = (11x + 13)e^(-4x-4)
Step-by-step explanation:
Given y'' + 8y' + 16 = 0
The auxiliary equation to the differential equation is:
m² + 8m + 16 = 0
Factorizing this, we have
(m + 4)² = 0
m = -4 twice
The complimentary solution is
y_c = (C1 + C2x)e^(-4x)
Using the initial conditions
y(-1) = 2
2 = (C1 -C2) e^4
C1 - C2 = 2e^(-4).................................(1)
y'(-1) = 3
y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)
3 = -4(C1 - C2)e^4 + C2e^4
-4C1 + 5C2 = 3e^(-4)..............................(2)
Solving (1) and (2) simultaneously, we have
From (1)
C1 = 2e^(-4) + C2
Using this in (2)
-4[2e^(-4) + C2] + 5C2 = 3e^(-4)
C2 = 11e^(-4)
C1 = 2e^(-4) + 11e^(-4)
= 13e^(-4)
The general solution is now
y = [13e^(-4) + 11xe^(-4)]e^(-4x)
= (11x + 13)e^(-4x-4)
A school have 764 students of the students 118 are in the third grade. Which equation can be used to find s, the total of students in all of the other grades?
Answer:
764 - 118 = 646
Step-by-step explanation:
Answer:
subtract 118 from 764 and that's the rest of the students
Josue ran 6/10 of a mile and jogged 4/10 of a mile. What is the difference in simplest form
Answer:
1/5
Step-by-step explanation:
Which representation shows a proportional relationship between x and y?
Answer: D
Step-by-step explanation:
To have a proportional relationship, the value of y divide by x has to have the same constant value and if you were to graph it, it has to go through the origin.
A is not proportional because it is not going through the origin.
B is also not proportional because it is also not going through the origin.
Now to find out if C is proportional divide the y value by x so see if they all have a constant change.
8/2 =4
16/4 = 4
24/8 = 3
32/ 12 = 2.6
This is also not proportional .
D. 3/2 = 1.5
6/4 = 1.5
12/ 8 = 1.5
18/12 = 1.5
This represents a proportional relationship because they all have a constant change
The proportional relationship between x and y will be given by option D.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Let's check all the options:
Option A because the line has intercept.
Option B because the line is zero.
Option C:
The slope is given as,
Slope = (16 - 8) / (4 - 2) = 4
Slope = (24 - 16) / (8 - 4) = 2
Slope = (32 - 24) / (12 - 8) = 2
Option D:
The slope is given as,
Slope = (6 - 3) / (4 - 2) = 3/2
Slope = (12 - 6) / (8 - 4) = 3/2
Slope = (18 - 12) / (12 - 8) = 3/2
The proportional relationship between x and y will be given by option D.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour. How many kilowatt hours can he use and keep his monthly cost no more than $109
Answer:
71.63 kilowatts hours
Step-by-step explanation:
We are told in the question:
John's electricity bill costs $20.90 per month plus $1.23 per kilowatt hour.
We are to find, How many kilowatt hours can he use and keep his monthly cost no more than $109.
Step 1
$109 - $20.90
= $88.1
$88.1 is the amount left to spend on killowatts of electricity per hour after removing the normal monthly electricity bill in a month
Step 2
$1.23 = 1kilowatts per hour
$88.1 = y kilowatts per hour
Cross Multiply
= $1.23 × y kilowatts per hour = $88.1 × 1 kilowatts per hour
y kilowatts per hour = $88.1 × 1 kilowatts per hour/ $1.23
= 71.62601626kilowatts hour.
Approximately = 71.63 kilowatts hour
Therefore, John can use 71.63 kilowatts per hour and keep his monthly cost no more than $109
Answer:
71
kilowatt hours can he use and keep his monthly cost no more than $109
ро
Daniella is planning to take her friend to a concert for her birthday. Tickets to the concert are $55 each and
there is a $25 service fee added to the total ticket cost. If Daniella has $100 savied, how much more does she
need to save to buy the concert tickets?
Answer:
60
Step-by-step explanation:
ingressos: 55 x 2 = 110
25 x 2= 50 Tax
110+50=160 total
160-100= 60
HELP ME PLS I DONT UNDERSTAND :(((( WILL MARK BRAINLIEST AND ROBUX
Answer:
H -2 ≤x≤4
Step-by-step explanation:
The domain is the input values or the x values
-2 ≤x≤4
Answer:
H
Step-by-step explanation:
You can see because the answer starts with -2.
factor the expression 36xyz + 24xy - 16x by dividing each term by a common factor. what are the common possible factors?
Answer:
4(9xyz+6xy-4x)
Step-by-step explanation:
Since the GCF of all the numbers is 4 you would just divide each term by 4 and make the 4 go outside of the Parenthesis so you get 4(9xyz+6xy-4x)
The common possible factors are 4x and [9yz + 6y - 4] after dividing and multiplying by 4x in the expression.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
= 36xyz + 24xy - 16x
As we can see; the common factor in the expression is 4x
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
Divide by 4x in the expression and multiply by 4x:
We get:
= 4x[(1/4x)36xyz + 24xy - 16x]
= 4x[9yz + 6y - 4]
Thus, the common possible factors are 4x and [9yz + 6y - 4] after dividing and multiplying by 4x in the expression.
Learn more about the expression here:
brainly.com/question/14083225
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Find the difference quotient and simplify your answer.
f(x) = x2 – 2x + 6,
h = 0
h
f(8 + h) – f(8),
We're given that
[tex]f(x)=x^2-2x+6[/tex]
which means
[tex]f(x+h)=(x+h)^2-2(x+h)+6=x^2+2xh+h^2-2x-2h+6[/tex]
When we subtract these, several terms cancel:
[tex](x^2+2xh+h^2-2x-2h+6)-(x^2-2x+6)=2xh+h^2-2h[/tex]
So the difference quotient is
[tex]\dfrac{f(x+h)-f(x)}h=\dfrac{2xh+h^2-2h}h[/tex]
and since h ≠ 0, we can cancel it out to end up with
[tex]\dfrac{f(x+h)-f(x)}h=2x+h-2[/tex]
Now plug in x = 8 (this could have been done at any prior point):
[tex]\dfrac{f(8+h)-f(8)}h=14+h[/tex]
A second number is 9 times a first number. A third number is 100 more than the first number. If the sum the three numbers is 694, find the numbers.
Answer:
54, 486, 154
Step-by-step explanation:
x+9x+100+x= 694
11x= 694-100
11x=594
x= 54
54×9=486
54+100= 154
54+486+154=694.
Don't call me square! While I have four right angles,
that term wouldn't be fair. While I have two parallel
sides, they both measure a different size. What shape
am I Draw me.
if a real estate agent sold a piece of land for 580000. how much commission did he/she get at 2.5%
Answer:
$14500
Step-by-step explanation:
It wuld be 580,000 X 0.025=14500
Sophia is designing a new welding shop for the local high school. Where should the compressed gas and fuel cylinders be stored?
Answer:
Store compressed gas cylinders in cool, dry, well ventilated areas. make sure the temperature of the storage room never exceeds 52°C. Store, handle, and use compressed gas cylinders away from incompatible materials and ignition sources
Answer:
The gas and fuel should be compressed in cool and dry place.
What is this called ........................
Answer:
C
Step-by-step explanation:
Alternate interior angles are next to each other. Sorry if im wrong.
How do you do this question without looking at the answer choices?
Answer:
Take a look at the 'proof' below
Step-by-step explanation:
The questions asks us to determine the anti-derivative of the function f(x) = 4x^3 [tex]*[/tex] sec^2 [tex]*[/tex] x^4. Let's start by converting this function into integral form. That would be the following:
[tex]\mathrm{\int \:4x^3sec^2x^4dx}[/tex]
Now all we have to do is solve the integral. Let's substitute 'u = x^4' into the equation 'du/dx = 4x^3.' We will receive dx = 1/4x^3 [tex]*[/tex] du. If we simplify a bit further:
[tex]\mathrm{\int \:\:sec^2\left(u\right)du}[/tex]
Our hint tells us that d/dx [tex]*[/tex] tan(x) = sec^2(x). Similarly in this case our integral boils down to tan(u). If we undo the substitution, we will receive the expression tan(x^4). Therefore you are right, the first option is an anti-derivative of the function f(x) = 4x^3 [tex]*[/tex] sec^2 [tex]*[/tex] x^4.
How do you Simplify the expression completely.
c(4b3+3a)+b(2cb2−6ac)
Click
Answer:
c×3 (2 b^3 - 2 a b + a)
Step-by-step explanation:
Simplify the following:
c (4 b^3 + 3 a) + b (2 c b^2 - 6 a c)
Hint: | Factor common terms out of 2 c b^2 - 6 a c.
Factor 2 c out of 2 c b^2 - 6 a c:
c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a)
Hint: | Pull a common factor out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a).
Factor c out of c (4 b^3 + 3 a) + b×2 c (b^2 - 3 a), resulting in c ((4 b^3 + 3 a) + b×2 (b^2 - 3 a)):
c (4 b^3 + 3 a + 2 b (b^2 - 3 a))
Hint: | Distribute 2 b over b^2 - 3 a.
2 b (b^2 - 3 a) = 2 b^3 - 6 a b:
c (4 b^3 + 3 a + 2 b^3 - 6 a b)
Hint: | Group like terms in 4 b^3 + 3 a - 6 a b + 2 b^3.
Grouping like terms, 4 b^3 + 3 a - 6 a b + 2 b^3 = (4 b^3 + 2 b^3) - 6 a b + 3 a:
c (4 b^3 + 2 b^3) - 6 a b + 3 a
Hint: | Add like terms in 4 b^3 + 2 b^3.
4 b^3 + 2 b^3 = 6 b^3:
c (6 b^3 - 6 a b + 3 a)
Hint: | Factor out the greatest common divisor of the coefficients of 6 b^3 - 6 a b + 3 a.
Factor 3 out of 6 b^3 - 6 a b + 3 a:
Answer: c×3 (2 b^3 - 2 a b + a)
1/10 is what of 1/100
Answer:
1/10 = 0.1, 1/100 = 0.01
Step-by-step explanation:
1/10 is 10/100
Answer:One tenth of one hundred is 10 1/10 of 100 = (100 * 1) / 10 = 100 / 10 = 10
Step-by-step explanation:
d is the same as 359 more than the product of 344 and d
write the sentence as an equation
Answer:
d = 359 + 344d
Step-by-step explanation:
d = 359 + 344d
5
5.
Madeline is making hummus for a potluck. Usually she uses 3 cloves of garlic and
17 ounces of chick peas, but this time she needs to serve more people. If she is
using 68 ounces of chick peas, how many cloves of garlic will she need?
54
12
9
15
Lydia was doing (blank) without realizing it was based on Whole Number Properties.
Solve for x:-2(x+3)=-2(x+1)-4
Answer:
x is any real number
Step-by-step explanation:
The simplified form of the equation is ...
-2x -6 = -2x -2 -4
-2x -6 = -2x -6 . . . . . . . . true for any x
x is any real number.
___
The equation effectively resolves to 0x=0, which will always be true for any value of x.
A solid is composed of squares and equilateral triangles. Its net is shown below: The area of each triangle is 16 square units. The surface area of the triangular prism is _____ square units. (Input whole number only)
Answer:
12 becayse u mulitigigivuvuu
Write the number that represents the decimal Three and five hundreths. Write in decimal
Answer:
3.05 is the answer.
How to write 4 - 5h in verbal expression
Is 1 1/4 a rational number?
Answer:
Hey there!
1 1/4 is a rational number because it can be expressed as a fraction.
Let me know if this helps :)
which angles are supplementary to each other?
option c. ..............
10×10×10×10 equals 1,000
Answer:
yesss it does
Step-by-step explanation:
CONGRATULATIONSSSSS
Answer:
Incorrect
Step-by-step explanation:
10x10x10x10 or 10 to the 4th power has 4 0's and 1,000 only has 3. So, 10x10x10x10=10,000
A small apple weighs 4.5 ounces. if
it is divided into 4 equal Pieces, how
much dose each piece weighs
Weight of apple = 4.5 ounces
Total pieces = 4
Weight of 1 piece = 4.5 ÷ 4
= 1.125
•°• Each piece weighs 1.125 ounces
Hope it helps
Have a nice day
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