Answer:
y = 2x - 3
Step-by-step explanation:
slope of perpendicular line must be 2
use (6,9) and slope of 2 to find 'b', or the y-intercept
9 = 2(6)+b
9 = 12 + b
-3 = b
y = 2x - 3
Please help write a system of equations to represent the scenario
How do i do this, and please step by step i will give brainliest
Answer:
-50 N
Step-by-step explanation:
125 - 75 = 50
left = negative
right = positive
The ball is going to be kicked to the left because the net force on the right is larger, and as you can see above, left = negative and right = positive. So the answer would be -50 N
Find the function y = f(t) passing through the point (0, 18) with the given first derivative.
dy/dt = 1/8 t
y = ?
Answer:
[tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
FunctionsFunction NotationCoordinates (x, y)Calculus
Derivatives
Derivative Notation
Antiderivatives - Integrals
Integration Constant C
Integration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Step-by-step explanation:
Step 1: Define
Identify
Point (0, 18)
[tex]\displaystyle \frac{dy}{dt} = \frac{1}{8} t[/tex]
Step 2: Find General Solution
Use integration
[Derivative] Rewrite: [tex]\displaystyle dy = \frac{1}{8} t\ dt[/tex][Equality Property] Integrate both sides: [tex]\displaystyle \int dy = \int {\frac{1}{8} t} \, dt[/tex][Left Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \int {\frac{1}{8} t} \, dt[/tex][Right Integral] Rewrite [Integration Property - Multiplied Constant]: [tex]\displaystyle y = \frac{1}{8}\int {t} \, dt[/tex][Right Integral] Integrate [Integration Rule - Reverse Power Rule]: [tex]\displaystyle y = \frac{1}{8}(\frac{t^2}{2}) + C[/tex]Multiply: [tex]\displaystyle y = \frac{t^2}{16} + C[/tex]Step 3: Find Particular Solution
Substitute in point [Function]: [tex]\displaystyle 18 = \frac{0^2}{16} + C[/tex]Simplify: [tex]\displaystyle 18 = 0 + C[/tex]Add: [tex]\displaystyle 18 = C[/tex]Rewrite: [tex]\displaystyle C = 18[/tex]Substitute in C [Function]: [tex]\displaystyle y = \frac{t^2}{16} + 18[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Integration
Book: College Calculus 10e
Someone pleaseee help I need help ASAP!!!!!! Pleaseee!!!
Answer:
its right because any object can be measure no matter how curve it is
Step-by-step explanation:
You are going to take a 10-question True/False test. How many ways can this test be answered if leaving questions blank is a viable option for each question?
Answer:
There are 59,049 different ways of answering the exam.
Step-by-step explanation:
The first thing we need to count is the total number of selections, then we need to count the number of options for each one of these selections. The total number of combinations will be equal to the product between all the numbers of options.
Here, the selections are each one of the 10 questions, so we have 10 selections.
And each one of these selections has 3 options (true, false, blank)
So, we have 10 selections with 3 options each, then the total number of combinations will be:
C = 3*3*3*3*3*3*3*3*3*3 = 3^10
C = 59,049
There are 59,049 different ways of answering the exam.
Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points. What is the expected value of drawing a card in this game on the first turn?
A. 3.7 points B. 6 points C. 6.3 points D. 9.5 points
Answer:
Expected value of drawing a card in this game on the first turn = 6
Step-by-step explanation:
Given - Consider a game in which players draw playing cards one at a time from a standard 52-card deck. If a player draws a face card (a jack, a queen, or a king), the player is awarded 16 points. Any other card drawn earns the player 3 points.
To find - What is the expected value of drawing a card in this game on the first turn?
Formula used -
Expected value, E[x] = ∑ x p(x)
where p(x) is the probability
Proof -
Total cards in a standard deck = 52
Total face cards = 12 (a jack, a queen, or a king)
Other cards = 40
Now,
Probability of getting a face card = [tex]\frac{12}{52}[/tex]
Probability of getting a other card = [tex]\frac{40}{52}[/tex]
So,
Expected value, E[x] = ∑ x p(x)
= (16)([tex]\frac{12}{52}[/tex]) + (3)([tex]\frac{40}{52}[/tex])
= [tex]\frac{192}{52} + \frac{120}{52}[/tex]
= [tex]\frac{312}{52}[/tex]
= 6
∴ we get
Expected value of drawing a card in this game on the first turn = 6
So,
The correct option is - B. 6 points
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
When the line passes through x = -6, what is the value of y? Enter the answer in the box.
HELP ME NOWWW
The solution is: When the line passes through x = -6, the value of y is: -13.
Here, we have,
given that,
A line on a coordinate plane passes through the point (2, -7) and has a slope of 0.75.
we know the equation of straight line is: ;
y = mx + c
here, m = 0.75 and, (x,y) =(2, -7)
so, we get,
c = -7 - 0.75*2 = - 8.5
So, the equation of straight line is:
y = 0.75x - 8.5
now, when the line passes through x = -6,
we get,
y = 0.75* (-6) - 8.5
= - 13
Hence, The solution is: When the line passes through x = -6, the value of y is: -13.
To learn more on Equation 0f Straight-Line click:
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Amanda found the equation 10x+5y=20 in the “linear equations” chapter of her math book.
All possibilities were discussed in order to write the required linear equation.
The given linear equation is:
[tex]10x+5y=20[/tex]
What is a linear equation?An equation of the form ax+by+c=0 is called a linear equation where a, b, c∈R
For a unique solution, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} \neq \frac{5}{b}[/tex]
For infinitely many solutions, we need an equation ax+by+c=0 such that
[tex]\frac{10}{a} =\frac{5}{b} =\frac{-20}{c}[/tex]
Hence, all possibilities were discussed in order to write the required linear equation.
To get more about linear equations visit:
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I can’t figure out the red part please help much appreciated
Answer:
Step-by-step explanation:
(23,0)
23 computers
the they make 0 dollars
can someone pls help
Answer:
Commutative property
Step-by-step explanation:
Commutative property is usually 2 equations switched around
Determine the slope of the line that passes through the points:
Answer:
The slope of the line is 4.
Step-by-step explanation:
Recall that slope = rise over run: rise / run.
From the table we see that if x changes from 0 to 4, a run of 4, y changes from -1 to 15, a rise of 16, the slope of this line must be
m = rise / run = 16/4 = 4
The slope of the line is 4.
What is the sign of -4x\cdot y\cdot 0^6−4x⋅y⋅0 6 minus, 4, x, dot, y, dot, 0, start superscript, 6, end superscript when xxx and yyy are positive numbers?
Answer:
non-negative
Step-by-step explanation:
Given
[tex]-4x\cdot y\cdot 0^6[/tex]
[tex]x , y > 0[/tex] --- Positive numbers
Required
The sign
[tex]-4x\cdot y\cdot 0^6[/tex]
First, we simplify the expression
[tex]0^6 = 0[/tex]
So:
[tex]-4x\cdot y\cdot 0^6 = -4x\cdot y\cdot 0[/tex]
The product of 0 and any factor is 0. So:
[tex]-4x\cdot y\cdot 0^6 = 0[/tex]
Since the result is 0, then the sign is non-negative
You were making $15 an hour and are now making $18 an hour. What is the percent of change in your hourly wage? This is a 2 part question. The first part you will tell the percent of change "Without the % sign included in your answer" the second part you will determine if it is a "Increase or Decrease"
8-6x=-28 I need help plzzz
Answer:
6
Step-by-step explanation:
We need to solve the equation .The given equation is ,
→ 8 - 6x = -28
→ -6x = -28-8
→ -6x = -36
→ x = -36/-6
→ x = 6
• Hence the value of x is 6 .28.
If 30% of a number is 15, what is the number?
No links!!
I will report if say something wrong.
Will give brainlest
Answer:
50
Step-by-step explanation:
30% * n = 15
Change to decimal form
.30 *n = 15
Divide each side by .30
.30n/.30 = 15/.30
n =50
The number is 50
What polygon is shown below?
octagon
decagon
dodecagon
hexagon
Answer:
octagon
Step-by-step explanation:
there is 8 sides in total :)
Find the value of x in the figure and choose the correct result,
HELP ASAP! Will name brainliest.
Identify the transformed function that represents f(x) = ln x stretched vertically by a factor of 5, reflected across the x-axis, and shifted by 6 units left.
g(x) = −5ln (x − 6)
g(x) = −5ln (x + 6)
g(x) = 5ln (x − 6)
g(x) = 5ln (x + 6)
Answer:
g(x) = 5ln (x-6)
Step-by-step explanation:
For us to have a vertical stretch, we need to multiply the whole function by the factor of stretching
Say for example, we stretched f(x) by a factor of a , we have the result as a•f(x)
Now, when we shift by a certain number of units, this is particularly a translation
The kind we have here is a horizontal translation
So by shifting 6 units left, we have it that we need to subtract 6 units from the x-coordinate value
Thus, we have the resulting function as;
g(x) = 5ln (x-6)
How to do this please Explain Thank you
Answer:
x = 47
Step-by-step explanation:
There Are Many Methods In Which You Can Do It.
X = 47 ( Alternate Angles) //Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines.
Step-by-step explanation:
X=47due to alterNate anglr
A function is given by f(x) =
[tex] \sqrt[4]{x} [/tex]
Evaluate f'(16).
Answer:
[tex]\displaystyle f'(16) = \frac{1}{32}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
[tex]\displaystyle f(x) = \sqrt[4]{x}[/tex]
f'(16) is x = 16 for the derivative f'(x)
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle f(x) = x^{\frac{1}{4}}[/tex]Basic Power Rule: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{1}{4} - 1}[/tex]Simplify: [tex]\displaystyle f'(x) = \frac{1}{4}x^{\frac{-3}{4}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle f'(x) = \frac{1}{4x^{\frac{3}{4}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle f'(16) = \frac{1}{4(16)^{\frac{3}{4}}}[/tex]Evaluate exponents: [tex]\displaystyle f'(16) = \frac{1}{4(8)}[/tex]Multiply: [tex]\displaystyle f'(16) = \frac{1}{32}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
A certain species of fish require 1.5 cubic feet of water per fish to maintain a
healthy environment. Find the maximum number of fish you could put in a tank
measuring 5 feet by 3 feet by 3 feet.
Answer: 30 fish
Step-by-step explanation:
A tank measuring 5 feet by 3 feet by 3 feet has a volume of 5*3*3 =45 cubic feet.
If there are 45 cubic feet of water in this tank, and each fish requires 1.5 cubic feet of water, the number of fish that can fit in the tank is 45/1.5 = 30.
need help asap will give brainlyest
Answer:
it in a is correct if im wrong it is B
Step-by-step explanation:
Help out please and thank you
Answer:
[tex]y=-\frac{2}{3}x[/tex]
Step-by-step explanation:
Equation: y=mx+b
we know the slope (m) and so we can write
(-2/3)x+b=y
we need to solve for b
to do this plug in 6 for x and -4 for y
(-2/3)(6)+b= -4
-4+b= -4
b=0
therefore the final answer is just
(-2/3)x
francis has 6 chocolate bars. he give one to john and one to chester. he keeps the rest. for himself. what friction of the chocolate. bars did he give away?
Answer:
Hey mate......
Step-by-step explanation:
This is ur answer.....
4/6Hope it helps!
Brainliest pls!
Follow me! :)
An example for my question before
Answer:
angle c is 82 degree because 82 degree and angle c are corresponding angles.
Step-by-step explanation:
note :corredponding angles are always equal.
the sum of co interior angle id 180 degree.alternate angle are equalthe sum of co exterior angle is 180 degreethe sum of alternate exterior angle is 180 degreeWrite 7 17/20 as a decimal
Answer:7.85
Step-by-step explanation:
7 17/20 as a decimal is 7.85
how I got that?
1. 17/20=0.85
2, 7+0.85=7.85
hope this helps!
Find the perimeter of the triangle in terms of b.
I’m marking branliest
Answer:
7b - 2 = 6b
3b + 7 = 10b
6b + 6b + 10b +10b
12b + 20b
34b
hapter 9: Chapter 9 What You Le
Write in slope-intercept form an equation of the line that passes through the given points
(6,8), (3,-9)
Below is the normal distribution curve for height (inches) of NBA basketball players.
If there are 4500 NBA players, approximately how many of them are taller than 91 inches?(Round to nearest whole number)
==================================================
Explanation:
mu = 75 = mean, since it's at the centersigma = 8 = standard deviation (each gap between the tickmarks is 8 units wide)From the given info, we see that 91 is two standard deviations above the mean. The diagram shows 91 is two tickmarks to the right of center. Or we could note that z = (x-mu)/sigma = (91-75)/8 = 2.
Roughly 95% of the normal distribution is within 2 standard deviations of the mean. I'm using the Empirical Rule.
So about 95% of the population is between 59 and 91 inches tall. That leaves 5% of the population in both tails combined. Cut this in half to get 2.5%
We have 2.5% of the population taller than 91 inches
2.5% of 4500 = 0.025*4500 = 112.5 = 113
Roughly 113 people are taller than 91 inches
----------
Side notes:
The answer is approximate because the Empirical Rule is just a rough approximation of percentages; also, I rounded 112.5 to 113 (it makes no sense to have half a person).59 inches = 4 ft, 11 in75 inches = 6 ft, 3 in91 inches = 7 ft, 7 inRoughly 95% of the population of NBA players is between 4 ft, 11 in and 7 ft, 7 in, according to this data set.Questions 7,11,12,14,15and 16 please thanks
№7
[tex]4(5y - 2) = 52\\4*5*y - 4 * 2 = 52\\20y - 8 = 52\\20 y = 52 + 8\\20y = 60\\y = 60 : 20\\y = 3[/tex]
№11
[tex]2x + 17 = 5x - 4\\17 + 4 = 5x - 2x\\21 = 3x\\x = 21 : 3\\x = 7[/tex]
№12
[tex]2x + 7 = 16 - 4x\\2x + 4x = 16 - 7\\6x = 9\\x = 9 : 6\\x = \frac{3}{2}\\x = 1,5[/tex]
№14
[tex]4(2y + 1) = 2 (12 - y)\\4*2*y + 4 * 1 = 2 * 12 - 2 * y\\8y + 4 = 24 - 2y\\8y + 2y = 24 - 4\\10y = 20\\y = 20 : 10\\y = 2[/tex]
№15
[tex]7 - 3x = 2(x + 1)\\7 - 3x = 2x + 2\\7 - 2 = 2x + 3x\\5 = 5x\\x = 5 : 5\\x = 1[/tex]
№16
[tex]\frac{x-3}{2} = 5\\x-3 = 5*2\\x - 3 = 10\\x = 10 + 3\\x = 13[/tex]