Answer:
δy
δx = 2x − 4 + δx;
and the limit as δx → 0 is
dy
dx = lim
δx→0
µδy
δx¶
= 2x − 4.
Step-by-step explanation:
dy/2d=(2-1)(2+3)
dy/2d=4+6-2-3
dy/2d=5
dy=5(2d)=10d
2d=5/dy
dy=5×(5/dy)= 25/dy
2d=5/dy
dy^2=25
dy=√25=5
2d=5/dy=5/5=1
d=1/2
dy=1/2×10=5 y=10
plug all of the values
5/(1/2×2)=5
=
4+6-2-3=5
so finally: 5=5
any questions?
Which equation describes the function whose y-intercept is 6 and whose
graph has slope 2?
HELPP
Answer:
y=2x+6
slope intercept form: y=mx+y-intercept
m=slope
A block of ice has a square top and bottom and rectangular sides. At a certain point in
time, the square top and bottom each have a length of 30 cm, which are decreasing at a
rate of 2 cm/h. At the same time, the height of the ice block is 20 cm and decreasing at
3 cm/h. How fast is the ice melting?
Answer:
[tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Geometry
Volume of a Rectangular Prism: V = lwhCalculus
Derivatives
Derivative Notation
Differentiating with respect to time
Basic Power Rule:
f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]l = 30 \ cm\\w = l\\\frac{dl}{dt} = 2 \ cm/h\\h = 20 \ cm\\\frac{dh}{dt} = 3 \ cm/h[/tex]
Step 2: Differentiate
Rewrite [VRP]: [tex]V = l^2h[/tex]Differentiate [Basic Power Rule]: [tex]\frac{dV}{dt} = 2l\frac{dl}{dt} \frac{dh}{dt}[/tex]Step 3: Solve for Rate
Substitute: [tex]\frac{dV}{dt} = 2(30 \ cm)(2 \ cm/h)(3 \ cm/h)[/tex]Multiply: [tex]\frac{dV}{dt} = 360 \ cm^3/h[/tex]Here this tells us that our volume is decreasing (ice melting) at a rate of 360 cm³ per hour.
Best answer gets brainiest. Katie's math class starts at 10:15 A.M. and lasts for 1 hour and 55 minutes. After math class, Katie has recess for 35 minutes. What time does Katie's recess end?
Include A.M. or P.M. in your answer.
Answer:
12:45 PM
Step-by-step explanation:
First, add the time of the math class:
10:15 AM + 1 hour
= 11:15 AM
11:15 AM + 55 minutes
= 12:10 PM
Then, add the time of recess:
12:10 PM + 35 minutes
= 12:45 PM
So, her recess ends at 12:45 PM
Answer:
Recess Ends at 12:45 PM
Step-by-step explanation:
10:15 + 1 hour and 55 minute= 12:10 PM
12: 10+ 35 min= 12:45 PM
YASSSSSSSSSSS
HELPPPPPPP A SISTA OUT
LoL
Answer:
8 are from South Africa
Step-by-step explanation:
1/4 + 5/8
2/8 + 5/8
1-7/8= 1/8
1/8 of 64 is equal to 8
what is the least common denominator for 2/5 and 3/2
Answer:
4/10
Step-by-step explanation:
⅖ = 4/10
3/2 = 15/10
The common denominator is 10.
The answer to the question is 10.
The least common denominator (LCD) is the most smallest number that can be a shared factor for a set of numerals. We see here the LCD is 10 because both fractions have a denominator of 10.
Hugo earns $2.00 for setting the table and $2.00 for washing the dishes. Let t be the number of times Hugo sets the table and let d be the number of times Hugo washes the dishes. Select all the expressions that could represent the total earned, E, in dollars, by Hugo *
2 points
A) E = 2(t + d)
B) E = 2t + 2d
C) E = 2t + d
D) E = 2 + td
PLEASE HELP!! It’s urgent!! I will mark brainliest
Answer:
a,c,d
Step-by-step explanation:
Answer:
the answer is F, C, A
which coordinate plane represents the linear relationship 4x + 5y = 20
Need help ASAP! I'll mark brainlyist
Step-by-step explanation:
(2+5i) equation goes to -20
(4+I) equation goes to -1
(3+2i) equation goes to 10
and the last one goes to 16
Find the missing side ?
Answer:
37
Step-by-step explanation:
How do you write 22over5 in this
Answer:
00004.40 if you need to fill in every box. If not, 4 in front of the decimal, and a 4 after.
Which set of fractions is ordered from least to greatest?
A
five over eight, eight over twelve, three over four
B
eight over twelve, five over eight, three over four
C
three over four, five over eight, eight over twelve
D
five over eight, three over four, eight over twelve
Answer:
get the best i can and get you a good friend of yours to go with the other side and the first thing I think you have a lot
Theresa and her mother made homemade salsa. They made 4.5 quarts of salsa. They are going to store the salsa in pint-sized jars.
Calculate how many pint-sized jars Theresa will need to store 4.5 quarts to pints.
O 5 jars
O 6.5 jars
09 jars
O 12 jars
Answer:
9 pint sized jars
Step-by-step explanation:
There are two pints to the quart. 2x4=8, so there is 8 pints per 4 quarts. If one pint is the same as half a quart, we can write a pint as 0.5 quarts. So, there are 9 pints to 4.5 quarts.
Answer:
9 jars
Step-by-step explanation:
there are 2 pints in a quart so 4.5x2=9
If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.
Answer:
Step-by-step explanation:
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
The answer is,
U={3,6,9,12,15,18}
M={3,12,18}
M'={6,9,15}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.
here. given that,
U is the set of all multiples of 3 less than 20,
i.e. U={3,6,9,12,15,18}
and M={3,12,18},
Mc (the complement of M),
i.e. M'={6,9,15}.
Hence, we get, U={3,6,9,12,15,18} , M={3,12,18} & M'={6,9,15}.
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By what percent is 16 greater than 12.
Answer:
28 i assume.
Answer:
The answer is 28% :))
What is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
Answer:
D
Step-by-step explanation:
7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
What is Fraction?A fraction represents a part of a whole.
We need to write the partial fraction decomposition of 11x-38/(2x-5)(x-4)
(11x-38)/(2x-5)(x-4)=A/2x-5+B/x-4
11x-38=A(x-4)+B(2x-5)
11x-38=Ax-4A+2Bx-5B
We need to find the values of A and B
Compare the coefficients of x
11=A+2B
A=11-2B
Compare the constants
-38=-4A-5B
-38=-4(11-2B)-5B
-38=-44+8B-5B
-38=-44+3B
-38+44=3B
6=3B
Divide both sides by 3
B=2
Now A=11-2(2)=7
Hence, 7/2x-5+2/x-4 is the partial fraction decomposition of 11x-38/(2x-5)(x-4)
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What do you think about this. Please I need help
Answer:
D
Step-by-step explanation:
Since its talking about INCREASING your numerators (The top of the fraction) would need to be adding up
if f = 3, g = -4 and h = -5
[3-h]+13
Tyler works at an appliance store. He gets paid a salary of $500 a week, plus commission. He gets paid 5% in commission for the first $1000 in sales and 7% commission for sales over $1000. Last week, he sold $3500 in appliances. How much money did he make last week?
Answer:
Step-by-step explanation:I think it is 5005
Find the value of x in each figure. B 9. - 15 2x A C
A number m is equal to twice the sum of two numbers n and p.
Answer:
oh
Step-by-step explanation:
Please help!!! I will make brainliest
Answer:
I believe that all should be checked except for f(x) = x^6 which u already didn't check
Step-by-step explanation:
The equation is y = ab^x and all the equations, except that one, follow this formula
Which expression can be used to find 1/2 of 12
Expression can be used to find 1/2 of 12 is 1/2*12
How to find how much percent 'a' is of 'b'?Suppose a number is 'a'
Suppose another number is 'b'
We want to know how much percent of 'b' is 'a'.
Then, it is calculated as:
[tex]\dfrac{a}{b} \times 100[/tex](in percentage)
Given;
P= 1/2 => 5/10 => 50/100
b= 12
substituting in the formula;
a/12 = 50/100
putting the value of 50/100 from given
a/12= 1/2
a= 1/2*12
Therefore, the correct answer will be 1/2*12
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Please Help Fast I Don't Know
Answer:
376 people
Step-by-step explanation:
25% is 94
to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.
Alright i believe the answer is 376, to find the answer we need to find the percent of 1/4 and it is 25% so now i must find how many 25's can fit into the 100% or the whole, in this case 4 can fit into it so now i must multiply 94 * 4 = 376
so i think that is the answer is 376...
I hope this helps!
determine if the triangles are congruent, if so, state the theorem
Answer:
last
Step-by-step explanation:
Is Angle Angle Side bacause you have
two vertical angle ≅ (A)
two 90° angles ≅(A)
two sides given ≅ (S)
!!HELP!! What is q times 10?
Answer:
Q10. You just put them together because it's multiplying of a letter and a number
**I thought I answered this question yesterday, is this a deja vu or something**
Mikai walks her dog Rufus take regular walks
together. Mikai and Rufus travel 5 miles every
8 days. Over the last 40 days how far have
Mikai and Rufus walked?
Answer:
They walked 25 miles in 40 days.
Step-by-step explanation:
The answer is 40 because 5 divided by 8 is 0.625 and 0.625 multiplied by 40 is 25.
P.S Can I have brainliest?
which expession is equivalent to negative 2 1/4 over nagative 2/3
Answer:
Ahhhhhjhhhjhhhh
Step-by-step explanation:
How that helps ;)
A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)
Group of answer choices
y-8=(-2/7)(x+8)
y+8=(-2/7)(x-8)
y-4=(-2/7)(x-6)
Answer:
y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)
Step-by-step explanation:
Point slope form equation: y - y₁ = m(x - x₁)
m is the same for all your answer choices, so you can disregard that part.
First point: (-8,8)
x₁ = -8; y₁ = 8
Plug those values into the point slope form equation and you get:
y-8=(-2/7)(x+8)
Do the same for the second point, and you get:
y-4=(-2/7)(x-6)
Answer:
first and third options
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)
m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]
using (a, b ) = (- 8, 8 ), then
y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is
y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option
using (a, b ) = (6, 4 ), then
y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option
What is the area of triangle ABC if a = 10 (degrees), B = 22 (degrees), and C = 70 (degrees) please help me.
A. 454.32 Sq Units
B. 103.37 Sq Units
C. 1.76 Sq Units
D. 17.61 Sq Units
Answer:
D. 17.61 square units
Step-by-step explanation:
To find the area of the ∆ABC, we can apply the formula below:
Area of ∆ABC = ½×a×c×sin(B)
a = 10
c = ??
B = 22°
Let's find c using Sine Rule:
Thus:
[tex] \frac{a}{sin(A)} = \frac{c}{sin(C)} [/tex]
Where,
a = 10
c = ??
A = 180 - (22 + 70) = 88°
C = 70°
Plug in the values
[tex] \frac{10}{sin(88)} = \frac{c}{sin(70)} [/tex]
Multiply both sides by sin(70)
[tex] \frac{10}{sin(88)} \times sin(70) = \frac{c}{sin(70)} \times sin(70) [/tex]
[tex] \frac{10 \times sin(70)}{sin(88)} = c [/tex]
[tex] 9.4 = c [/tex] (nearest tenth)
✔️Area of ∆ABC = ½×a×c×sin(B)
Plug in the values
Area of ∆ABC = ½ × 10 × 9.4 × sin(22)
Area = 17.61 square units (nearest tenth)