Answer:
im pretty sure your answer is correct :)
Step-by-step explanation:
Answer:
line [tex]l[/tex]
The length of JM is 9.
Step-by-step explanation:
Since JM ≅ MK then we can form the following:
[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]
The population of a city is increasing 4% per year and is now 7,200. If it continues to increase at the same rate, what will the population be after 3 years?
Answer:
A = 7200(1.04)^3
A = 8099
Step-by-step explanation:
what is equivalent expression to 0.112 - 16/75 A -0.112 + 16/75 B -0.112 (-16)/75 C 0.112 + (-16)/75
Answer:
C
Step-by-step explanation:
0.112 + (-16)/75 is equivalent to 0.112 - 16/75
Calculus (yet again)!
The water level of a certain body of water is changing at a rate of [tex]W(t) = \frac{1}{2}cos(3 - \frac{t}{2})[/tex] inches per hour, where t represents hours since 12 a.m.
What is the average hourly number of inches that the water level changes for this lake in one day?
I'm pretty sure that the number of inches that the water changes in one day would be represented by [tex]\int\limits^2_0 {W(t)} \, dt[/tex] (where the number on top of the integral is a 24), but how would I set up an integral for the average hourly number of inches? Thank you so much!
Answer:
The average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.
Step-by-step explanation:
The water level of a certain body of water is changing at a rate represented by the function:
[tex]\displaystyle W(t) = \frac{1}{2}\cos \left( 3- \frac{t}{2}\right)[/tex]
Where W is measured in inches per hour and t represents hours since 12 A.M.
And we want to determine the average hourly number of inches that the water level changes for the lake in one day.
Recall that the average value of a function is given by:
[tex]\displaystyle f_\text{avg} = \frac{1}{b-a} \int_{a}^{b} f(x) \, dx[/tex]
Hence, the find the average hourly number of inches that the water level changes in one day, we simply need to find the average value of W from t = 0 to t = 24.
Substitute:
[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{(24)-(0)} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]
Simplify:
[tex]\displaystyle W(t)_{\text{avg}} = \frac{1}{24} \int_{0}^{24} \frac{1}{2}\cos \left(3 - \frac{t}{2}\right) \, dt[/tex]
Evaluate using u-substitution. We can let:
[tex]\displaystyle u = 3 - \frac{t}{2} \Rightarrow du = -\frac{1}{2}\, dt\Rightarrow -2\, du = dt[/tex]
Hence:
[tex]\displaystyle W(t)_{\text{avg}} = -\frac{1}{24} \int_{3}^{-9} \cos u \, du[/tex]
Evaluate:
[tex]\displaystyle \begin{aligned} W(t)_{\text{avg}} &= \frac{1}{24}\int_{-9}^{3} \cos u\, du \\ \\ &= \frac{1}{24}\left(\sin u\Big|_{-9}^{3}\right) \\ \\ &= \frac{1}{24}\left(\sin3 - \sin -9\right) \\ \\ &=\frac{1}{24}\left(\sin 3 + \sin 9\right) \\ \\ &\approx0.0231 \end{aligned}[/tex]
In conclusion, the average hourly number of inches that the water level changes per day is about 0.0231 inches per hour.
The domain for f(x) and g(x) is the set of all real numbers
Let f(x) = 3x + 5 and g(x) = x^2
Find (f + g)(x).
Answer:
3x square + 5 is your answer
What’s the answer to this? Please send help
Answer:
B
Step-by-step explanation:
Write an equation in slope-intercept form of a line that passes through the point (-4,9) and has a slope of 1/2.
Answer:
y = 1/2x + 11
Step-by-step explanation:
y = 1/2x + b
9 = 1/2(-4) + b
9 = -2 + b
b = 11
answer it plz
step by step plz
Answer:
I HOPE IT WILL HELP YOU A LOT.
Have a great day ahead.
Points a, b and c are collinear point b is between a and c find the length indicated
Points A , B and C are collinear......
is 3.4567, 3.4567... irrational or rational
Answer:
Irrational
Step-by-step explanation:
Because irrational this number do not repeat so there for it is not rational.
Expand [tex](x-\frac{1}{x} )^{12}[/tex] , simplifying the coefficients
giải phương trình :
-4x-8x>0
Answer:
[tex]x < 0[/tex]
Step-by-step explanation:
[tex] - 4x - 8x > 0[/tex]
➡️ [tex] - 12x > 0[/tex]
➡️ [tex]x < 0[/tex]
marginal relative frequency example?
Answer:
Marginal relative frequency is the ratio of the sum of the joint relative frequency in a row or column and the total number of data values. Remember, the marginal frequency numbers are the numbers on the edges of a table, kind of like the margins are the areas on the edge of a paper.
Find tan A of a RIGHT TRIANGLE with side lengths b = 8 and c = 12
2sinx/2cosx-secx=tan2x
Answer:
hope it help u
Step-by-step explanation:
2sinx/(2cosx – secx)
=2 sinx/(2cosx–1/cosx)
as secx = 1/ cosx
multiplying both the denominator and numerator by cost,we get
2sinxcosx/( 2cos^2x –1) =cos2x
since,2sinxcosx = sin2x and 2cos^2 –1=cos2x
2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x
10q - 20 is equivalent to _____.
2(q - 10)
10(q - 20)
10(q - 2)
You use a crowdfunding website to raise money. the website keeps 5% of each donation. Five of your friends each donate the same amount.e total funding you receive is $47.50. How much does each friend donate?
Answer:
Step 1:
Let x represent the amount of each friend donate
Website keeps = 5%
Total funding I receive = $ 47.50
4.75x = $47.50
Step 2:
4.75 = $47.50 - Write the equation
[tex]\frac{4.75x}{4.75}[/tex] = [tex]\frac{47.50}{4.75}[/tex] - Divide both sides of the equation by 4.75
The solution is x = 10
ANSWER: Each friend donates $10
hope this helps Have a good day.
Each friend donates $10.
It is required to find How much does each friend donate.
What is arithmetic?The branch of mathematics dealing with the properties and manipulation of numbers. a science that deals with the addition, subtraction, multiplication, and division of numbers. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.
Given :
The website keeps 5% of each donation.
Five of your friends each donate the same amount.
Total funding receive is $47.50.
Let x represent the amount of each friend donate
According to question we have,
4.75x = $47.50
Divide both sides of the equation by 4.75 we get,
x = 10
Therefore, each friend donates $10.
Learn more about arithmetic here:
brainly.com/question/24423838
#SPJ2
Find the equation of the tangent of x^2- xy + y^2 =7 at (-1, 2)
Answer:
It is 3y = 4x + 10
Step-by-step explanation:
Let's first get the slope of the curve.
[ slope is the derivative of the equation ]
[tex] {x}^{2} - xy + {y}^{2} = 7[/tex]
introduce dy/dx :
[tex] \frac{d}{dx} ( {x}^{2} - xy + {y}^{2} ) = \frac{d}{dx} (7) \\ \\ 2x - (y + \frac{dy}{dx} ) + 2y \frac{dy}{dx} = 0[/tex]
make dy/dx the subject:
[tex]2x - y - \frac{dy}{dx} + 2y \frac{dy}{dx} = 0 \\ \\ 2y \frac{dy}{dx} - \frac{dy}{dx} = y - 2x \\ \\ \frac{dy}{dx} (2y - 1) = y - 2x \\ \\ \frac{dy}{dx} = \frac{y - 2x}{2y - 1} [/tex]
At point (-1, 2):
[tex] \frac{dy}{dx} = \frac{2 - 2( - 1)}{2(2) - 1} \\ \\ slope = \frac{4}{3} [/tex]
but a tangent has the same slope as the curve:
[tex]y = mx + c[/tex]
m is the slope
c is the y-intercept
At (-1, 2):
[tex]2 = ( - 1 \times \frac{4}{3} ) + c \\ \\ c = 2 + \frac{4}{3} \\ \\ c = \frac{10}{3} [/tex]
equation:
[tex]y = \frac{4}{3} x + \frac{10}{3} \\ \\ { \boxed{3y = 4x + 10}}[/tex]
Answer:
Step-by-step explanation:
Here is an other way:
z=f(x,y)=x²-xy+y²-7=0
[tex]\dfrac{\partial f(x,y)}{\partial x} =2x-y\\\\\dfrac{\partial f(x,y)}{\partial y} =-x+2y\\\\\\\dfrac{dy}{dx} =-\dfrac{\dfrac{\partial f(x,y)}{\partial x} }{\dfrac{\partial f(x,y)}{\partial y}} =-\dfrac{2x-y}{-x+2y} \\\\(-1;2)\\Slope=-\dfrac{2*(-1)-2}{1+2*2} =\dfrac{4}{5} \\\\y-2=\frac{4}{5} (x+1)\\\\\\\boxed{y=\dfrac{4x}{5} +\dfrac{14}{5} }[/tex]
Write an equation for the situation then solve for x. After paying $7 for a sandwich, John has $11. With how much money did he start?
(I know the answer to the question but the steps on how to solve for x confuse me)
Answer:
x = 18
Step-by-step explanation:
total money = money spent + money left
x = 7+11
x = 18
Highlight the correct symbol.
<, >, =
1,404,000 ________ 1,040,000
Answer:
>
Step-by-step explanation:
1,404,000 > 1,040,000
WHATS 9+10??????????????
The following table shows the amount of money earned by the key club from a car wash. Use the table to determine what the rate of change is if the amount of money made is dependent on the number of cars washed.
Answer:
Can u help me
Step-by-step explanation:
With my maths question
if (2x,3y) =(8, 9),find x and y
Answer:
x = 4, y = 3
Step-by-step explanation:
Equating corresponding coordinates , gives
2x = 8 ( divide both sides by 2 )
x = 4
and
3y = 9 ( divide both sides by 3 )
y = 3
Find the equation of the line that is perpendicular to y=-2x+1 and contains the point (8, 2).
Answer:
y = 1/2x - 2
Step-by-step explanation:
In order for a line to be perpendicular to another, the lines must have opposite reciprocal slopes.
Example of an opposite reciprocal slope: -2 ⇒ 1/2
Insert the information into the point-slope formula:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{1}{2}(x-8)\\\\y-2=\frac{1}{2}x-4\\\\y=\frac{1}{2}x-2[/tex]
This is finding the midpoint. Please help
Answer:
hence the required midpoint of the given line is (9,5)
Answer:
[tex]( \frac{6 + 2}{2} +\frac{12 + 8}{2}) = ( \frac{8}{2} + \frac{20}{2} ) = (4 \: comma10)[/tex]
The answer is :(4, 10)
Find the product of 6/4 × 12/5
Answer:
18/5
Step-by-step explanation:
6/4 x 12/5
18/5
Simplify (ab)(ab)(ab)(ab).
ab 4
a 4b 4
4ab
Answer:
[tex] {a}^{4} {b}^{4} [/tex]
Step-by-step explanation:
[tex](ab) \times (ab) \times (ab) \times (ab)[/tex]
[tex] {a}^{1 + 1 + 1 + 1} {b}^{1 + 1 + 1 + 1} [/tex]
[tex] = {a}^{4} {b}^{4} [/tex]
9. Maria usually pays $3.10 per pound for her favorite granola. Which of the answers below is
a better deal?
A. 2 pounds for $6.49
B. 3 pounds for $10
C. 5 pounds for $14.75
D. 8 pounds for $28
What’s the answer
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
Answer:
c
Step-by-step explanation:
The answer is C. To find the answer all you need to do is divide the money per pound for each option until you find the lowest deal.
A is not a good deal because its about $3.14 for a pound
B is not a good deal because its about $3.33 per pound
D is not a good deal because its $3.50 per pound
C IS a good deal because it's $2.95 per pound
why can u write both addition expression and subtraction expression for the situation
Answer:
It depends if the number is an integer {-1,+7,-7}
e.g -7+4
these numbers are integers that is why you can write both addition and subtraction expressions
Solve the following problem. Round to one decimal place if necssary.
Answer:
x = 16.1051577
Step-by-step explanation:
tan0 = opp/adj
tan0 = 14/x
tan(49)× 14 = 16.1051577
Ben took part in a 45km bicycle race.Ben cycled at a speed of v km/h for the entire race.Express the time taken by Ben in terms of v.
Answer:
(45/v) hours
Step-by-step explanation:
that is the answer yep
Answer:
45/v =t
Step-by-step explanation:
Cuz the normal formula is
V= d/t
Therefore
t= d/v
And u know D = 45km so..
t=45/v