Answer:
x = -1
Step-by-step explanation:
Answer:
-1 = x
Step-by-step explanation:
2x - 4 = -2 + 4x
add 2 to both sides
2x - 4 + 2 = -2 + 2 + 4x
2x - 2 = 4x
subtract 2x from both sides
2x - 2x - 2 = 4x - 2x
-2 = 2x
divide both sides by 2
-2/2 = 2x/2
-1 = x
Error Analysis: Henry incorrectly said the rate 1/2 over 1/4 can be written as the unit rate 1/8 pound per quart.
What is the correct unit rate? What was Henry's likely error?
Answer:
1/2 = 2/4 = 4/8
Step-by-step explanation:
his error was probably that he only change the denominator since there all even
Which set of coordinates describes a function?
A {(2, -4), (-2, - 7), (0, 2), (-3, 8)}
B {(8,9), (1, 5), (1, 6), (-1, 11)}
C {(6, -4), (-3, -3), (-8, -8), (6, -1)}
D{(8,3), (-8, -4), (2, 7), (2, 2)}
IF ANYONE HELPS ME WITH THIS I WILL GIVE U BRAINLIEST AND 100 POINTS BTW ITS INTEGRALS FOR CALCULUS
Answer:
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Terms/CoefficientsFactoringExponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Integrals
Definite IntegralsIntegration Constant C
Integration Rule [Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
U-Substitution
eˣ Integration: [tex]\displaystyle \int {e^u} \, dx = e^u + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx[/tex]
Step 2: Integrate Pt. 1
Identify variables for u-substitution.
Set: [tex]\displaystyle u = 4x^{-2}[/tex][u] Differentiate [Derivative Rule - Basic Power Rule]: [tex]\displaystyle du = -8x^{-3} \ dx[/tex][du] Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle du = \frac{-8}{x^3} \ dx[/tex]Step 3: Integrate Pt. 2
[Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^6_4 {\frac{-8}{x^3}e^{4x^{-2}}} \, dx[/tex][Integral] U-Substitution: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}\int\limits^{\frac{1}{9}}_{\frac{1}{4}} {e^u} \, dx[/tex][Integral] eˣ Integration: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8}(e^u) \bigg| \limits^{\frac{1}{9}}_{\frac{1}{4}}[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{-1}{8} \bigg[ -e^\bigg{\frac{1}{9}} \bigg( e^\bigg{\frac{5}{36}} - 1 \bigg) \bigg][/tex]Simplify: [tex]\displaystyle \int\limits^6_4 {\frac{1}{x^3}e^{4x^{-2}}} \, dx = \frac{e^\bigg{\frac{1}{4}}}{8} - \frac{e^\bigg{\frac{1}{9}}}{8}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Integration
Book: College Calculus 10e
Find the distance between the two points rounding to the nearest tenth (if necessary).
(0,–8) and (-5, 4)
1/12 divided by 3/4 help please
Step-by-step explanation:
(1/12) / (3/4)
= (1/12) * (4/3)
= 1/9.
Answer:
1/3
in decimal would be 0.3333333
Step-by-step explanation:
A repairman charges an inspection fee plus $16 per hour. A customer with a coupon for 30% off the inspection fee pays $74 for a 2-hour repair. How many hours are worked when a customers pays $124 without a coupon?
Answer:
I want to say that the hours worked was 4. I hope that is right.
Step-by-step explanation:
30% off of $60 is 42
16*2=32 and 32+42=74
124-60=64
16*4=64
so he would have worked 4 hours for $64 and a fee of $60
64+60= 124
I need help please!!!!
Answer: I think it is 364.80
whats 2 plus 2 divided by 63.11111
Answer:
0.06338
Step-by-step explanation:
2+2=4
4/63.1111=0.06338
Answer:
2.03169
Step-by-step explanation:
A restaurant manager states the number of customers that enter the restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 15. The manager also states that the number of customers that enter their restaurant is equal to 2 times the number of people that buy a hotdog from the hotdog cart plus 60. What number of people buying a hotdog from the hotdog cart across the street makes the equation 3x+15 = 2x+60 true?
Answer: true
Step-by-step explanation: The number of people would be 45
-3x-5<10 Equations
Answer:
x>-5
Step-by-step explanation:
First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.
What is 3/4 divided by 1/8? Explain or show your reasoning
Answer:
6
Step-by-step explanation:
Write the equation of the line with the given slope and y-intercept.
slope: 3
y-intercept: -6
Answer:
y=3x-6
Step-by-step explanation:
y=mx+B
y replaces the b
the slope replaces the m
find the value of x.
Easy points if u know it
Answer:
x=20 degrees
Step-by-step explanation:
Line y is a perpendicular bisector making a 90 degree angle with the base of the triangle. The Interior Angle Sum Theorem states that the sum of the interior angles of a triangle is always equal to 180 degrees. Add 70 to 90
70+90=160 degrees
Subtract the sum from 180
180-160=20 degrees
One x is equal to 20 degrees. Both x's are equal to 40 degrees.
Hope this helps. Have a nice day. May it be filled with joy and happiness. Please, stay safe and wash your hands. Happy Holidays.
Answer:
x=20 degrees
Step-by-step explanation:
Tbh I just copied from the other guy I just wanted points thanks :)
DROP YALL FAV ANIMESS :))) mines if aot
Answer:
monster masume
Step-by-step explanation:
Given m∥n, find the value of x.
Answer:
x = 20
Step-by-step explanation:
The 2 given angles are alternate interior angles and are congruent, thus
7x - 3 = 6x + 17 ( subtract 6x from both sides )
x - 3 = 17 ( add 3 to both sides )
x = 20
At a party there are 3 pizzas to share. If each pizza has 8 slices, determine how many pieces each child will receive if 12 kids attend the party. Now what if 8 kids attend?
Answer: your answer is 3
Step-by-step explanation: if you multiply 3 and 8 you get 24 divide that by 8.
The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The total number of pizzas at the party = 3 pizzas
The total number of slices in 1 pizza = 8 slices
So , the number of slices in 3 pizzas = 3 x 8 slices
The number of slices in 3 pizzas = 24 slices
Now , the equation will be
The number of children attended the party be = A
The value of A = 12 children
So , the number of pizza slices each child gets = number of slices in 3 pizzas / number of children attended the party
Substituting the values in the equation , we get
Number of pizza slices each child gets = 24 / 12
Number of pizza slices each child gets = 2 slices each
Therefore , if there are 12 children , the number of slices of pizzas each child receives is 2 slices
Now , if the number of children is B = 8
Number of pizza slices each child gets = 24 / 8
Number of pizza slices each child gets = 3 slices each
Therefore , if there are 8 children , the number of slices of pizzas each child receives is 3 slices
Hence , The number of pizzas each kid will receive if there were 12 children was 2 slices each
The number of pizzas each kid will receive if there were 8 children was 3 slices each
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Neeeeeeeeeeeeeeed help!!!!!??!??!!
Answer:
-15?
Step-by-step explanation:
It's hard to tell where the point is exactly
What is the length of a diagonal cube with a side length of 10cm?
Answer:
Step-by-step explanation:
diagonal=[tex]\sqrt{10^2+10^2}[/tex]
diagonal=[tex]\sqrt{200}[/tex]
diagonal=14.1421356
Plz Help due in 10 min If triangle ABC has the following angle measurements, what is the value of x?
∠A=4x − 17
∠B= 3x + 8
∠C= x+ 13
x = 22
x = 23
x= 176
x = 3.7
Answer:
Step-by-step explanation:
4x-17+3x+8+x+13=180
8x+4 =180
8x=176
X=22
Answer:
x = 22
Step-by-step explanation:
<A + <B + <C = 180
<A = 4x - 17
<B = 3x + 8
<C = x + 13
4x - 17 + 3x + 8 + x + 13 = 180 Collect the like terms
8x + 4 = 180 Subtract 4 from both sides
8x = 180 - 4
8x = 176 Divide by 8
x = 176/8
x = 22
Pls help pls pls I ve been working on this for so long
Answer:
(C) 1 1/2 mph
Step-by-step explanation:
There are 3 1/3rds in a hour. So you would multiply the rate by 3, since there's 3 in an hour.
0.5 * 3 = 1.5 mph or 1 1/2 mph (C)
y + 2x = 4 How do I complete this?
Kelly purchased 5 containers of ice cream for a party. Each container holds 8 cups of ice cream. Before the party, her brother ate 2 cups of ice cream. If one serving of ice cream is 23 of a cup, how many servings of ice cream will be left for the party?
Given:
Kelly purchased 5 containers of ice cream for a party.
Each container holds 8 cups of ice cream.
Her brother ate 2 cups of ice cream.
One serving of ice cream = 2/3 of a cup.
To find:
Number of servings of ice cream will be left for the party?
Solution:
We have,
1 container = 8 cups of ice cream
5 containers = 5×8 = 40 cups of ice cream
Her brother ate 2 cups of ice cream. So, remaining cups of ice cream is
[tex]40-2=38[/tex] cups
Now,
[tex]\dfrac{2}{3}[/tex] of a cup = 1 serving
1 cup = [tex]\dfrac{3}{2}[/tex] serving
38 cup = [tex]38\times \dfrac{3}{2}[/tex] serving
= [tex]19\times 3[/tex] serving
= 57 serving
Therefore, 57 servings of ice cream will be left for the party.
Bus Stop: A graph has time (minutes) on the x-axis, and distance (miles) on the y-axis. A line goes through points (0, 5), (6, 8), and (12, 11). Friend's house: A 2-column table with 3 rows. Column 1 is labeled Time (minutes) with entries 3, 6, 9. Column 2 is labeled Distance (miles) with entries 4, 6, 8.
Recall that Seth's house is 17 miles from school. Which location should Seth start off at to get to school faster and how long will it take?
from the bus stop is faster, taking 17 minutes
from the bus stop is faster, taking 24 minutes
from his friend’s house is faster, taking 15 minutes
from his friend’s house is faster, taking 22.5 minutes
Answer:
from his friend’s house is faster, taking 22.5 minutes
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i just got it right :)
please answer #7 <3
tysm
if u can explain why i’ll give u brainlist
Answer:
BC=2
Step-by-step explanation:
The equation is
AB+BC+CD=21
7+BC+12=21
19+BC=21
BC=21-19
BC=2
Answer:
Bc = 2
Step-by-step explanation:
Just add AB + CD
you'll get 19
substract it from AD
21 - 19 = 2
In Above question b = 39°
Not 31
Need help see pictures for details
Answer:
plot the points
(-4, 2.5) (-3, 3) (-2, 1.5) (-1, 2) (0, 1)
(1, 2) (2, 3.5) (3, 0.5) (4, 2.5)
Step-by-step explanation:
does that help any???
how do i list ratios from least to greatest quickly?
Answer: you can look for the lowest number then you can just count up. There is no real hack for it
Step-by-step explanation:
A recipe for a loaf of bread calls for 2/3 of a cup of flour. If milo used 12 cups of flour, how many loaves of bread did he prepare?
A.18
B.16
C.15
D.12
E.8
Answer:
15
Step-by-step explanation:
no
What method can be used to prove the triangles below are congruent?
Answers: SAS, AAS, ASA, Not Possible
Answer: D) Not possible
SSA is not a valid congruence theorem. Note how the angles are not between the congruent sides.
An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.
In the given figure, two sides and one angle of one triangle congruent to other triangle.
What is the congruence theorem?Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.
Consider ΔABC and ΔPQR
Here,
∠A=∠P (Given)
AC=PR (Given)
BC=QR (Given)
An SSA congruence theorem does exist. can be used to prove triangles congruent. sides and the corresponding nonincluded angle of the other, then the triangles are congruent.
By SSA congruence ΔABC ≅ ΔPQR
An SSA congruence theorem does exist. By SSA congruence ΔABC ≅ ΔPQR. Therefore, option D is the correct answer.
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Find the mean of the following set of numbers:
8.9, 6.1, -4.8, 8.2, 2.7,-0.1
Enter the answer
Answer:
The mean of the given set of numbers is 3.5
Step-by-step explanation:
We need to find the mean of following numbers:
8.9, 6.1, -4.8, 8.2, 2.7,-0.1
For calculating the mean the formula used is: [tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}[/tex]
Finding sum of numbers:
[tex]Sum \ of \ numbers= 8.9+6.1-4.8+8.2+2.7-0.1\\Sum \ of \ numbers= 21[/tex]
Total numbers = 6
So, mean is:
[tex]Mean=\frac{Sum \ of \ all \ numbers}{Total \ numbers}\\Mean=\frac{21}{6}\\Mean= 3.5[/tex]
So, mean of the given set of numbers is 3.5