9514 1404 393
Answer:
1.3854 liters
Step-by-step explanation:
1000 cm³ = 1 liter
1385.4 cm³ = 1.3854 liters
What is the output of a function when tha input is -9
Answer: f(-9)
Step-by-step explanation:
A function is described in the form of f(x)
Therefore, if this is how a function is stated we have x as the input.
Here, the x is equal to -9
So now:
f(-9) after substitution.
F varies jointly as q1 and q2 and inversely as the square of d.
If F=8 when q1=2, q2=8, and d=4, find F when q1=28, q2=12, and d=2
Answer:
F =672
Step-by-step explanation:
joint variation is of the form
F = k *q1 * q2
Inversly means divide
F = k * q1 * q2
-------------------
d^2
We know F=8 when q1=2, q2=8, and d=4 so we can solve for k
8 = k * 2*8
-----------------
4^2
8 = 16k
----
16
8 = k
Substituting
F = 8 * q1 * q2
-------------------
d^2
Let q1=28, q2=12, and d=2
F = 8 * 28 * 12
----------------
2^2
F = 2688
-------
4
F =672
We are given:
F varies jointly (directly) with q1 and q2, which means that F is proportional to both q1 and q2. also,
F varies inversely with d², so F is inversely proportional to the square to d
Finding a mathemetical experssion:
using the above information, we can say that:
F ∝ q₁
F ∝ q₂
F ∝ 1/(d²)
joining these together, we get:
F ∝ q₁q₂ / d²
let's say that 'k' is the constant of proportionality in this case,
F = k (q₁q₂ / d²)
First case:
F = 8, q₁ = 2, q₂ = 8, d = 4
we can use these values in our expression to find k
[tex]8 = k\frac{2*8}{4^2}[/tex]
[tex]8 = k\frac{16}{16}[/tex]
k = 8
Finding F in the second case:
q₁ = 28, q₂ = 12, d = 2, k = 8
[tex]F = k\frac{q_{1}*q_{2}}{d^2}[/tex]
[tex]F = 8(\frac{28*12}{2^2})[/tex]
[tex]F = 8(\frac{336}{4})[/tex]
[tex]F = 2(336)[/tex]
F = 672 N
Find the volume of the following square pyramid.
Check the picture below.
[tex]\textit{volume of a pyramid}\\ V = \cfrac{Bh}{3}~~ \begin{cases} B = \stackrel{\textit{area of its base}}{50\times 50}\\ h = \stackrel{\textit{its height}}{60} \end{cases}\qquad \implies V = \cfrac{50\cdot 50\cdot 60}{3}\implies \boxed{V= 50000}[/tex]
PLEASE HELP !!! PICS DOWN BELOW
Answer:
262.25 $
Step-by-step explanation:
2x+y=5;(7,5)
Tell whether the ordered pair is a solution of the equation Just substitute a given X/Y
to see if the equation works right solution if it works and not solution if it doesn’t
Answer:
(7,5) not solution for 2x+y
Step-by-step explanation:
2(7) + 5 =19 which is not 5,
possible answer for X/Y
(0,5)
(7,-9)
Zahara rides with her dad to her grandmother’s house. They travel 159 miles in 3 hours. Her uncle, Jorge, drives there separately from his home. a. At what speed does Zahara’s dad drive, in miles per hour? Draw a model to show your work.SOLUTION b. Jorge’s trip takes the same amount of time as Zahara’s, but he travels a shorter distance. Does Jorge drive faster or slower than Zahara’s dad?A store changes the cost of a package of batteries. Now customers pay more money for the same number of batteries. Did the cost per battery increase, decrease, or stay the same? Explain how you know. 3 4
1) Which value is equivalent to 5+ 4 x 2? A) 11 B) 13 C) 18 D) 22
Answer:
Option B) 13 is correct
Step-by-step explanation:
5+4×25+813Mathew basketball team won 68% of the games they played if they won 17 games how many did they play
Answer:
25
Step-by-step explanation:
turn 68% into a decimal (or keep as a percentage, your choice) and divide
17 divided by 0.68 (68% as a decimal) = 25
help asap whoever right get brainiest
Answer:
EF
Step-by-step explanation:
I think the answer is EF because turning the line counterclockwise and 80 degree angle would be that.
Help what is thisss
GIVING OUT BRAINLY IF U ANSWER
idc if sum r wrong
Answer:
it is a b and c
Step-by-step explanation:
HEHEHEHE HELP LOL IM NOT SMART ENOUGH FOR THIS 3
Determine f –1(x) if f of x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4.
f inverse of x is equal to the quantity x minus 1 end quantity over the quantity 4 times x plus 3 end quantity
f inverse of x is equal to the quantity 4 times x plus 3 end quantity over the quantity x minus 1 end quantity
f inverse of x is equal to the quantity x minus 4 end quantity over the quantity x plus 3 end quantity
f inverse of x is equal to the quantity x minus 3 end quantity over the quantity x plus 4 end quantity
Answer:
Option BStep-by-step explanation:
Given function:
f(x) = (x + 3)/(x - 4)Find its inverse, take f(x) as y and swap x with y
x = (y + 3)/(y - 4)x = (y - 4 + 7) / (y - 4)x = 1 + 7/(y - 4)x - 1 = 7 / (y - 4)y - 4 = 7 / (x - 1)y = 4 + 7 / (x - 1)y = (4x - 4 + 7)/ (x - 1)y = (4x + 3) / (x - 1)Replace y with f⁻¹(x):
f⁻¹(x) = (4x + 3) / (x - 1)Correct choice is B
A x is equal to the quantity x plus 3 end quantity over the quantity x minus 4 end quantity where x 4. at x = 0.5, the inverse function f²(-1)(x) f²(-1)(x) = 0.5
To determine the inverse of the function f(x) = (x + 3) / (x - 4), to follow these steps:
Replace f(x) with -1, since you're looking for the inverse at the point where f(x) = -1:
-1 = (x + 3) / (x - 4)
Solve for x in terms of -1:
Multiply both sides by (x - 4):
-1 ×(x - 4) = x + 3
Distribute the -1:
-x + 4 = x + 3
Solve for x:
Subtract x from both sides:
4 = 2x + 3
Subtract 3 from both sides:
1 = 2x
Divide by 2:
x = 0.5
To know more about function here
https://brainly.com/question/30721594
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Just give me the answer please
Answer:
what
Step-by-step explanation:
Answer:
Appologies but Why do you have pOn open?
Step-by-step explanation:
umm that is inapropriate but idrc
Ayaan travels 90 miles at an average speed of 60 mph.
She then travels a further 40 miles.
The average speed for the entire journey is 59 mph.
Assuming Ayaan didn't stop, what was her average speed for the final 40 miles to 2 dp?
Step-by-step explanation:
Speed = distance / timeThereafter,
Distance :-
90 miles + 40 miles = 130 milesTime :-
90 / 60 + 59 = 60.5 mphAverage Speed :-
130 / 60.5 = 2.148ILL MARK BRAINLIEST HELP PLS
Answer:
Step 1, do math:
-13.6 >= 1.7x
-8 >= x
answer: C
can someone pleaseeeee helppppp mee
yessssss I cannnnnnn helppppp youu
[tex] \frac{ - 12}{c} = 6 \\ [/tex]
Inverse both sides
[tex] - \frac{c}{12} = \frac{1}{6} \\ [/tex]
Multiply both sides by - 12
[tex]( - 12) \times - \frac{c}{12} = ( - 12) \times \frac{1}{6} \\ [/tex]
[tex]c = - 2[/tex]
There u go have a great day ❤
Answer: C = -2
Step-by-step explanation: Well if you times 2x3 that = 12. So -2= c.
I am really sorry if this is wrong. I tried my best. :-)
Hope you have a wonderful day !
y = - 1/7x - 2 parallel to 7,6 ???
Answer:
y = - 1/7x - 7
Step-by-step explanation:
Given equation ,
=> y = -1/7 - 2
On comparing to slope intercept form of the line we get the slope as -1/7
Now as we know that the slope of two parallel lines are same . So the slope of parallel line will be -1/7 .
Using point slope form ,
=> y - 6 = -1/7( x -7)
=> y -6 = -1/7x +1
=> y -7 = -1/7x
=> y = -1/7x -7
HELPP!!! I have a root test for a series but it's in n/2 power, help me out please ?
Draw the graph on the following lines.
Answer:
4. The y would be 9
5. The x-int would be 1.5
Step-by-step explanation:
simplify 4 whole 2/7 + 5/7
Answer:
1
Step-by-step explanation:
2/7+5/7=7/7=1 because 7/7 would be a 1 whole
Answer:
35/7
Step-by-step explanation:
4 = 28/7
28/7 + 2/7 + 5/7 = 35/7
What is the equation of this line?
A. y= x - 3 =
B. y=-x-3 =
C. y= -2x - 3
D. y=2x-3 - - 3
how do you subtract fractions with different denominators (I completely forgot)
Answer:
multiply them by a a number that allows the denominators to be the same
Step-by-step explanation:
example
1/2-1/6
I would multiply 1/2 by 3 to get 3/6 which i could then subtract from 1/6
3/6-1/6 = 2/6
Find the solution
3(x - 4)+ 2x =23
Answer:
the answer for that is :
x = 7
Answer:
x=7
Step-by-step explanation:
3(x-4)+2x=23
3x-12+2x=23
5x-12=23
23+12=35
35/5=7
1.
Find the value of 5x? if x = -3.
Answer:
-15
Step-by-step explanation:
5 * -3 = -15
x = -3
5x = 5(-3)
5(-3) = -15
Write the expression as the sum or difference of two logarithmic functions containing no exponents.
log(x/x + 1)
Hi how u doin ?
[tex] log( \frac{x}{x + 1} ) = \\ [/tex]
[tex] log(x) - log(x + 1) [/tex]
Have a great day ❤
Integrate ∫2tan(2x+π)dx
Answer:
[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
Trigonometric Integration
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = 2 \int {\tan (2x + \pi)} \, dx[/tex]Step 3: Integrate Pt. 2
Identify variables for u-substitution.
Set u: [tex]\displaystyle u = 2x + \pi[/tex][u] Differentiate [Derivative Properties]: [tex]\displaystyle du = 2 \ dx[/tex]Step 4: Integrate Pt. 3
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {2 \tan (2x + \pi)} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \frac{2}{2} \int {\tan u} \, du[/tex]Simplify: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = \int {\tan u} \, du[/tex][Integral] Trigonometric Substitution: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos u \big| + C[/tex][u] Back-Substitute: [tex]\displaystyle \int {2 \tan (2x + \pi)} \, dx = - \ln \big| \cos (2x + \pi) \big| + C[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
−9 13−(−1 13) Enter the simplified answer in the box.
Step-by-step explanation: −913−(−113)
=−913−(−113)
=−913+113
=−800
Solve for x: 49.98+12x=61.98+7x
Answer:
X=2.436
Step-by-step explanation:
Look at picture for question.
Good points please help:(
Answer:
x = 29
Step-by-step explanation:
These angles are vertical angles which mean that they're equal to each other:
2x - 24 = x + 5
2x - x = 5 + 24
x = 29
