Step-by-step explanation:
The line A, the slope is +2
And line B the slope is n-1
Answer:
For A;
x1 = -2, y1 = -3, x2 = 3, y2 = 7
Gradient = (y2 - y1)/(x2 - x1)
= (7 - (-3))/(3 - (-2))
= 10/5 = 2.
For B;
x1 = 7, y1 = -2, x2 = -2, y2 = 7
Gradient = (y2 - y1)/(x2 - x1)
= (7 - (-2))/(-2 - 7)
= 9/-9 = -1.
Find the final price of a $849.99 laptop with 6% sales tax
PLEASE ANSWER I WILL MAKE U BRAINLIEST
Who made an incorrect statement about each rotation. Then, correct and rewrite the statement.
Answer:
Tara is incorrect.
Step-by-step explanation:
The location of X' will be (7,1)
5,7,9 i need help asap, step by step plss if possible :)
Answer:
5 yes
7 yes
9 no
Step-by-step explanation:
(4*7)^x is 28 which is greater than 0 and not equal to one.
Same with 7
9 has a negitive 5 being multiplied to 9 which leads it to being -45^x which is less than zero
Answer:
i need some points sorry not sorry
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answer:
the upper unknown angle is a right angle (90º)
the lower unknown angle is equal to 45º, same as the angle we know
a triangle's angles should all add up to 180º
HOPE I HELPED)))
PLS GIVE BRAINLIEST
AND HAVE A NICE DAY
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
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
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
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
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:
I need help with this question, here's the image
Answer:
The answer Is C
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 :)
What is the measure of angle 3 in degrees?
0 27°
0 33°
O 60°
0 1530
Answer:
I believe D I’m not sure though
Step-by-step explanation:
solve the equation
48= y + 5y
48=y+5y
pretend that there is a 1 in front for the y
48=1y+5y
add the like terms first
1y+5y=6y
48=6y
divide both sides by 6 to get y by itself
48/6=6y/6
8=y
answer:
y=8
Answer:
y = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
48 = y + 5y
Step 2: Solve for y
Combine like terms: 48 = 6yDivide 6 on both sides: 8 = yRewrite: y = 8Step 3: Check
Plug in y into the original equation to verify it is a solution.
Substitute in y: 48 = 8 + 5(8)Multiply: 48 = 8 + 40Add: 48 = 48Here we see that 48 does indeed equal 48.
∴ y = 8 is a solution of the equation.
What is an equation of the line that passes through the point (4,-3) and is perpendicular to the line x-2y=2?
Answer: 2x+y+11=0
Step-by-step explanation:
The equation of given line is x-2y-2=0
Slope of given line is (m1)= - coefficient of x÷coefficient of y
m1= -1÷-2 =1÷2
Let slope of required line be m2.
Since the two lines are perpendicular,
So,
m1×m2= -1
or, 1÷2×m2 = -1
m2 = -2
The required line is passing through (4,-3)
Using two points slope form,
y-y1 = m(x-x1)
or, y-(-3)= -2(x+4)
or, y+3= -2x -8
or, 2x+y+3+8 = 0
2x+y+11 = 0 which is required equation of line.
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
• When volleyballs are purchased, they are not fully inflated. A partially inflated
volleyball can be modeled by a sphere whose volume is approximately 180 in). After
being fully inflated, its volume is approximately 294 in. To the nearest tenth of an
inch, how much does the radius increase when the volleyball is fully inflated?
Answer:
The radius increase when the volleyball is fully inflated is 0.5
Step-by-step explanation:
Volume of Partially inflated volleyball = 180 in³
Volume of Full inflated volleyball = 294 in³
We need to find how much does the radius increase when the volleyball is fully inflated?
First we will find the radius of both Partially inflated and Full inflated volleyball. Then we will find increase in radius.
The formula for Volume of sphere is: [tex]Volume=\frac{4}{3}\pi r^3[/tex]
Finding Radius of Partially inflated volleyball
Volume = 180
Putting values and finding radius of Partially inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\180=\frac{4}{3}*3.14*r^3\\4.186r^3=180\\r^3=\frac{180}{4.186}\\r^3=43.0\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{47}\\r= 3.6[/tex]
So, radius of Partially inflated volleyball is r = 3.6
Finding Radius of Fully inflated volleyball
Volume = 294
Putting values and finding radius of Fully inflated volleyball
[tex]Volume=\frac{4}{3}\pi r^3\\294=\frac{4}{3}*3.14*r^3\\4.186\:r^3=294\\r^3=\frac{294}{4.186}\\r^3=70.23\\Taking\:cube\:root\:on\:both\:sides\\\sqrt[3]{r^3}=\sqrt[3]{70.23}\\r= 4.1[/tex]
So, radius of Partially inflated volleyball is r = 4.1
Now, finding increase in radius by subtracting radius of fully inflated volleyball with partially inflated volleyball
Increase in radius of Fully inflated volleyball = 4.1 - 3.6
Increase in radius of Fully inflated volleyball = 0.5
So, the radius increase when the volleyball is fully inflated is 0.5
2(x + 3)2 – 3(x + 3) + 8
simplified polynomial in standard form?
It says Find out the value of x
Answer:
x=31, x=31, x=21.
Step-by-step explanation:
So for number 33, we see that 2x+28=90 degrees so you just simplify the equation to 2x=62, x=31.
For number 34, we see that 4x+56=180 (flat line), so we simplify the equation again and get 4x=124, x=31 degrees.
For number 35, according to the vertical angle theorem, 43=2x+1, so we simplify that too and we get 42=2x, 21=x, x=21.
What do you think will happen to Earth if climate chang is solved.?
Answer:
it will be more wildfires longer periods of droughts
Deja had two baskets of berries. One of the baskets has 3 3/8 pounds of berries and the other basket has 2 7/8 pounds of berries. She is going to split the berries evenly among 4 people. Which measure is the best estimate for the number of pounds of berries each person would receive.
Answer:
Step-by-step explanation:
3 3/8 + 2 7/8= 6 1/4
6 1/4 divided by 4
each get about one pound and a half
PLZZ HELPP IM FAILLING THIS CLASS
I GIVE BRAINLIST
Answer:
The better deal is 8 for $7.50
4 of pack one=$25
2 of pack two=$15
Spent altogether= $40
Answer:
Which is the better deal? Pack of 8 is a better deal.
Buy 4 of Pack One: $24.40
Buy 2 of Pack Two: $11.90
How much did you spend altogether? $36.30
Step-by-step explanation:
Let's start with the Swag Bags. To figure out if something is a good price, divide the items inside of it by the price so you can get the $ per item and compare.
[tex]\frac{6.25}{6}[/tex] = $1.04 per item for Pack of 6
[tex]\frac{7.50}{8}[/tex] = $.94 per item for Pack of 8
Generally, saying "which item is the better deal" refers to which price per item is cheaper. In this case, Pack of 8 is a better deal.
Now, goodie bags.
Pack one costs $6.10 while Pack two costs $5.95.
"Buy 4 of Pack One: $" is asking for the price of 4 Pack Ones. To do this, you simply multiply the pack one price by 4, since you are buying 4 of them.
4 * 6.10 = $24.40
Same idea for Pack Two, just different price and different amount.
2 * 5.95 = $11.90
How much did you spend altogether? Add the total values for both goodie bag packs.
$24.40 + $11.90 = $36.30
Neeeeeeeeeeeeeeed help!!!!!??!??!!
Answer:
-15?
Step-by-step explanation:
It's hard to tell where the point is exactly
plzz help mee!!! chess club every 4 days. He goes to soccer practice every 3 days. If he has both activities today, in how many days will he first have both activities again?
Answer:
12 days
Step-by-step explanation:
4x3=12
A 12-ounce bag of chips costs $2.88. What is the unit rate per ounce of chips A $0.17 O B. $0.24 OC. $0.25 OD $0.42
Answer:
B (I think)
Step-by-step explanation:
$2.88 divided by 12 is 0.24
-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.
1.
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.04)n
Part A: Is this a growth or decay exponential function? Justify your answer. (2 points)
Part B: What is the growth or decay percentage for this function? (2 points)
Part C: What does the y-intercept of the graph of the function f(n) represent? (2 points)
Part D: What is the average rate of change of the function f(n) from n = 1 to n = 5, and what does it represent?
Answer:
Exponential growth
4%
12
Step-by-step explanation:
Given the function :
f(n) = 12(1.04)^n
Part A: Is this a growth or decay exponential function?
The equation above is usually generally represented as :
F(n) = A(1 ± r)^n
Where F(n) = final amount after n years ; r = rate ; n = number of years
The function Given above is thus :
F(n) = 12(1 +0.04)^n
This is an exponential growth function because of the negative rate (+ 0.04)
Part B: What is the growth or decay percentage for this function
From the equation :
F(n) = A(1 + r)^n ; r = rate
Comparing F(n) = 12(1 +0.04)^n ; r = 0.04 = 0.04*100% = 4%
Part C: What does the y-intercept of the graph of the function f(n) represent?
The y intercept :
Value of F(n) when n = 0
F(n) = 12(1 +0.04)^n
F(n) = 12(1 +0.04)^0
Fn = 12(1)
Hence, intercept = 12
!! please answer, thanks.
1] If you pick a marble out of a bag that had 2 yellow, 3 green, 4 black and 1 red, record its color, and return it to the bag 200 times, how many times can you expect to pick a marble other than black?
-
2] There are 3 red shirts, 4 blue shirts, 1 black shirt and 2 grey shirts hanging in a closet. What is the probability that a shirt other than blue will be picked?
Which statement about parallel lines is true?
Parallel lines intersect at a 45° angle.
Parallel lines intersect at a 90° angle.
Parallel lines are always line segments.
Parallel lines never intersect.
Answer:
the last one
Step-by-step explanation:
Parallel lines never intersect.
hope this helps
what is the percent of 7/10
Answer:
7/10= 0.7 = 0.70 = 70%
Step-by-step explanation:
If you multiply them together you get 70, this only works if it is /10.
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)}