Answer:
To solve for the value of a, you have to isolate “a“ on one side.
-5a - 2.2 < 17.8
Add 2.2 to both sides.
-5a < 20
Divide both sides by -5. Note: when you are dividing by a negative number, the direction of the sign switches.
a > -4
:)
What is the y-intercept of the line shown?
Answer: 4
Step-by-step explanation:
It crosses on the y axis at the point (0,4)
Answer:
4
Step-by-step explanation:
The y-intercept of the line shown is 4.
Hope this helps :)
Help help me please help
Answer:
[tex](10x - 14) = (7x - 8) \\ \\ 10x - 7x = 14 - 8 \\ \\ 3x = 6 \\ \\ x\frac{6}{3} \\ \\ x = 2[/tex]
it was equal to each other
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
HELPP!!! I have a root test for a series but it's in n/2 power, help me out please ?
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 = 2.148−9 13−(−1 13) Enter the simplified answer in the box.
Step-by-step explanation: −913−(−113)
=−913−(−113)
=−913+113
=−800
If your income is constant, what will happen to your savings when your expenses increase?
PASAGOT PO!!!!!
Okay, suppose your income is about $100.
You might spend $70 & save $30.
Now, suppose your income remains constant at $100 but your expenses go up to, say, $90. You can see that your savings will reduce or decrease. Now, you'll only have about $10 to save.
=》 So, if your income is constant, then your savings will 'decrease' when your expenses increase.
_______
RainbowSalt2222 ☔
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+813Which table of values represents a linear function?
Answer:
So, if the graph is a straight line,it is the graph of linear function. From a table, you can verify a linear function by examining the x and y values. The rate of change of y with respect to x remains constant for a linear function.
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Step-by-step explanation:
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
8. $210 is shared among three children. The amount of money Alice receives is 2 times that of Beatrice's. The amount of money Beatrice receives is 2 times that of Charmaine’s. How much money does each of them receive?
If X = 3 units, then what is the volume of the cube shown above?
Answer:
The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.
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
Find the missing number. Decreased by 10% decreased by 10%. Decreased by ...% (how much was it decreased)
Percentage decrease is the amount by which a given number is decreased expressed as a percentage.
The percentage by which the number was decreased = 19%Reasons:
The percentage by which the number was decreased = 10%
The number is decreased by 10%
Let x represent the number, we have;
New remainder after first decrease = x - 10% × x = x - 0.1·x = 0.9·x
Decreasing the new number by 10% gives;
Second new number = 0.9·x - 0.09·x = 0.81·x
The percentage by which the number is decreased = x - 0.81·x = 0.19·x
The percentage by which the number is decreased = 19%
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Which of these are not equivalent to 3/12? (a) 33%, (b) 0.4, (c) 1/4, (d) 1/3 , Which of these are equivalent to 11/4? (a) 4/11, (b) 2 11/16, (c) 2.75, (d) 275%
Answer:
under
Step-by-step explanation:
B D E
I need help if you answer this your littearly a pro hacker pls
Answer:
24 meters cubed
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
V=Bh
V=6*4
V=24
Answer:
Volume = 24 m³
Units is either cubic meters, m³ or something like that
BTW, am I a pro hacker know?
Step-by-step explanation:
Volume = B x h
Base = B = 6 m²
Height = h = 4 m
Volume = 6 m² * 4 m
Volume = 24 m³
-Chetan K (aka pro hacker)
HEHEHEHE HELP LOL IM NOT SMART ENOUGH FOR THIS 3
help pls//////////////////
Answer:
x = 6
Step-by-step explanation:
12(x -2) +3x = 1/3(x +12) +10x
12x -24 +3x = 1/3x +4 +10x . . . . . eliminate parentheses
15x = (10 1/3)x +28 . . . . . . . . . . add 24, collect terms
(4 2/3)x = 28 . . . . . . . . . . . . . subtract 10 1/3
x = (3/14)(28) = 6 . . . . . . . . multiply by 1/(4 2/3) = 3/14
The value x=6 satisfies the equation.
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
Gravel is being dumped from a conveyor belt at a rate of 35 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 8 ft high? (Round your answer to two decimal places.)
0.70 ft
Step-by-step explanation:
The volume V of a cone is given by
[tex]V = \dfrac{\pi}{3}r^2h[/tex]
where r is the radius of the base and h is the height of the cone. Since the radius is half the diameter D, we can rewrite V as
[tex]V = \dfrac{\pi}{3}\left(\dfrac{D}{2}\right)^2h = \dfrac{\pi}{12}D^2h[/tex]
But since the base diameter D is always equal to the cone's height, we can write the volume in terms of the height h as
[tex]V = \dfrac{\pi}{12}h^3[/tex]
Now gravel is being added to the conical pile at a rate of 35 cubic ft per minute so to find the rate at which the height of the pile is increasing, we are going to take the derivative of V with respect to time:
[tex]\dfrac{dV}{dt} = \dfrac{d}{dt}\left(\dfrac{\pi}{12}h^3\right)[/tex]
[tex]\:\:\:\:\:\:\:= \dfrac{\pi}{12}\cdot 3h^2\dfrac{dh}{dt} = \dfrac{\pi}{4}h^2\dfrac{dh}{dt}[/tex]
Rearranging the variables and solving for dh/dt, we get
[tex]\dfrac{dh}{dt} = \dfrac{4}{\pi h^2}\dfrac{dV}{dt}[/tex]
[tex]\:\:\:\:\:\:\:\:= \dfrac{4}{\pi(8\:\text{ft})^2}(35\:\text{ft}^3\text{min})[/tex]
[tex]\:\:\:\:\:\:\:=0.70\:\text{ft/min}[/tex]
Kolby decided he wanted to go to the amusement park. The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A
Write an expression to represent this scenario where r represents the number of rides.
Part B
Write and solve an equation to determine how many rides Kolby can ride if his parents gave him $26.00. Show your work.
Answer:
Part A:
1.40x+8.00=C
Part B:
1.40x+8=26
-8 -8
1.40x=18
/1.40 /1.40
x=11 total rides
Step-by-step explanation:
An expression to represent this would be 1.40x+8.00=C (C is total cost).
If you had $26.00 you would first spend $8.00 on the entry leaving you with $18.00. Then you would divide the $18 by $1.40 for each ride to get 12.8... It doesn't make sense to go on a fraction of a ride so you just round down to 11 rides
An expression that represent this situation would be 1.40x+8.00=C (C is total cost).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that The amusement park charges $8.00 for entry and $1.40 for each ride.
Part A:
An expression to represent this scenario where r represents the number of rides.
1.40x + 8.00 = C
Part B:
An equation to determine how many rides Kolby can ride if his parents gave him $26.00.
1.40x + 8 = 26
1.40x = 18
x = 11 total rides
An expression that represent this situation would be 1.40x+8.00=C (C is total cost).
To know more about an expression follow;
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Mathew 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 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:
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
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
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
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
Help help help help help
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.
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 ❤
