The expression to simplify is
[tex]5x-13+7y+26x[/tex]We will simplify by combining like terms.
• There are FIVE x's and TWENTY-SIX more x's. We add.
5x + 26x = 31 x
• There is 1 constant, NEGATIVE THIRTEEN. No combining required so leave it as is.
,•
,• There is 1 term with y, which is SEVEN y. No combining required, so we leave it as is.
The final expression is
[tex]\begin{gathered} 5x-13+7y+26x \\ =31x+7y-13 \end{gathered}[/tex]a potter forms a piece of clay into a right circular cylinder. as she rolls it, the height of the cylinder increases and the radius decreases. assume that no clay is lost in the process. suppose the height of the cylinder is increasing by centimeters per second. what is the rate at which the radius is changing when the radius is centimeters and the height is centimeters?
The radius of the cylinder is decreasing at the rate of 0.22 cm per second.
One of the most important and fundamental curvilinear of a geometric shapes, a right circular cylinder has historically been a three-dimensional solid.
It is regarded as a prism with a circle as its base in basic geometry. In several contemporary fields of geometry and topology, a cylinder can alternatively be characterized as an infinitely curved surface.The radius of the cylinder is the length of the line joining the circumference and the center of the circle.The derivative of the logarithm, dx /dt, is also the growth rate. The fractional change, must be used to represent a minor change in the logarithm. if the variable grows at the constant fixed rate g.Volume of a right circular cylinder = π r² h
Now we differentiate w.r.t to get :
[tex]\frac{dV}{dT} =2 \pi r h\frac{dr}{dt} + \pi r^2\frac{dh}{dt}[/tex]
Taking the values we get :
[tex]-34.3 = 154 \frac{dr}{dt}[/tex]
[tex]\frac{dr}{dt} = -0.22[/tex]
Hence the radius is decreasing at the rate of -0.22 cm per second.
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The equation for line s can be written as x - y = -2. Line t is perpendicular to lines and passes through (-4, 1). What is the equation of line t?
=========================================================
Explanation:
Anything perpendicular to Ax+By = C is of the form Bx-Ay = D
The given equation is x-y = -2 showing that A = 1, B = -1 and C = -2.
So Bx-Ay = D will update to -x-y = D
Plug in the coordinates of (-4,1) to find D.
-x-y = D
D = -x-y
D = -(-4)-1
D = 4-1
D = 3
We go from -x-y = D to -x - y = 3
Then multiply both sides by -1 to end up with x + y = -3
Please assist Math with 50 points!
Answer:
A. (1/2) bucket
Step-by-step explanation:
6 11
4 ------ - 3 ------- = ?
14 12
14 × 4 = 56
56 + 6 = 62
12 × -3 = -36
-36 - 11 = -47
62 47
------- - -------
14 12
62(12) 47(14)
------- - -------
14(12) 12(14)
744 658 86
------- - ------- = --------
168 168 168
86 ÷ 2
-------
168 ÷ 2
43
----- = 0.511
84
0.511 ≈ (1/2)
I hope this helps!
Answer:
1/2 bucket
Step-by-step explanation:
48/8 6/w
1=?
Help me please helpp
Answer:
w = 1
Step-by-step explanation:
You have to divide 48 by 8 to get 6, so you have to divide 8 by 8 to find w.
8/8 = 1
How do we calculate slope when given two points on a coordinate plane?
Step-by-step explanation:
Given the coordinates of two points on a line, use the slope formula to find the slope of the line. The slope formula is m=(y2-y1)/(x2-x1) or the change in y value versus the change in x value. The coordinates of the first point represent x1 and y1. The coordinates of the second point are x2, y2.
Answer:
To find the slope, use the formula Rise over Run.
1.) Insert the Y coordinates into their correct space.
2.) Plug in the X coordinates.
3.) Subtract your Y coordinates.
4.) Subtract your X coordinates.
5.) Reduce if needed.
6.) You're done!
Sandra purchased $1,200 worth of electronic equipment on her new credit card, with an annual interest rate of 14.99%. If she has no other charges on the card and does not pay off the balance at the end of the month, how much money will she owe the credit card company after 1 month? Estimate the interest using the monthly periodic rate.
Given data:
The given amount of equipment purchased by the Sandra is A=$1,200.
Solve the inequality and graph the solution on the line provided.
3x+17_< 41
What is the image point of (-7,3) after the transformation rx-axis o R180º?
In a composite transformation as given you make first the transformation in the right and then the transformation in the left.
For the given point: (-7, 3)
1. Rotation 180°
[tex]\begin{gathered} P(x,y)\rightarrow P^{\prime}(-x,-y) \\ \\ P(-7,3)\rightarrow P^{\prime}(7,-3) \end{gathered}[/tex]2. Reflection over x-axis:
[tex]\begin{gathered} P^{\prime}(x,y)\rightarrow P^{\prime}^{\prime}(x,-y) \\ \\ P^{\prime}(7,-3)\rightarrow P^{\doubleprime}(7,3) \end{gathered}[/tex]Then, the image of given point after the composite transformation is (7,3)What is the value of logx?y3lodwhen given the following:Zlog(x) = 3log(y)=2log(z)= -1
Given the question
[tex]\log (\frac{x^2y^3}{z})[/tex]To resolve this, we can follow the steps below
Step1: Apply the logarithm rule
[tex]\log (\frac{x^2y^3}{z})=\log x^2+\log y^3-\log z[/tex]This will give=>
[tex]\log x^2+\log y^3-\log z=2\log x+3\log y-\log z[/tex]Since we have been given that
[tex]\begin{gathered} \log x=3 \\ \log y=2 \\ \log z=-1 \end{gathered}[/tex]Step2: Substitute the given values into the equation
[tex]2\log x+3\log y-\log z=2(3)+3(2)-(-1)[/tex]=>
[tex]6+6+1=13[/tex]Answer = 13
The roots of the quadratic function are -2 and -6.Which of the following are the two factors of the quadratic expression?X + 2X-2X - 6X + 6X + 8X - 8
roots = {-2, -6}
Factors: (x + 6) and (x + 2)
find the volume of the rectangular prism. need an integer or decimal.
We will have the following:
[tex]V=(\frac{9ft\ast9ft}{2})(12ft)\Rightarrow V=486ft^3[/tex]So, the volume is 486 ft^3.
write an equation of the line below.
Answer:
y = 2x + 3
Step-by-step explanation:
The y-intercept is where x = 0. Therefore, the y-intercept would be 3. To find the slope, you do Δy/Δx (Δ = Change In). To find that, you go up 4 times, then move to the right 2 times to reach the second dot. Now, you do 4 / 2, which equals 2. Your final equation will be y = 2x + 3.
Hi I just need Part A. I’m in high school calculus 1 and this is a homework. thank you !
SOLUTION
Given the question in the image, the following are the solution steps to answer the question.
STEP 1: Define what happens when a function is shrunk vertically
When the factor is greater than 1, the condition that satisfies the function is to multiply by 1.4
When the graph is verticcally shrunk, this means that the function is multiplied by 1.4
Hence, the function becomes:
[tex]1.4\times f(x)=1.4\cdot f(x)[/tex]STEP 2: Define what happens when the graph is shifted left by 3 units.
If the function is shifted left by 3 units, this implies that we add 3 units to the x of the function.
This gives:
[tex]1.4.f(x+3)[/tex]vAt her Fourth of July party, Sally serves her famous grilled chicken. Her secret is to use 6 fluid ounces of lemon-garlic marinade for every pound of chicken. Sally plans to grill 4 pounds of chicken. How many cups of marinade should she use
In linear equation, 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. A linear equation in one variable would be 9x + 78 = 18, for instance.Here we have the data from the question:-
Marcy will use 6 fluid ounces of lemon-garlic marinade for every pound of chicken.
Marcy plans to grill 4 pounds of chicken.
So total marinade required will be:-
Total marinade =6x4=24 ounces
Now we know that the conversion:-
1 fluid Ounce = 0.125 Cup
24 fluid ounce =0.125 Cup
Hence 3 number of cups will be needed to marinade 4 pounds of chicken for grill.
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si cada 8.33 minutos me dan 10 dolares cuantos dolares tendria en 6 horas ademas cuantos dolares ganaria cada 30 minutos
The payment for each 6 h is equal to $ 432.2 while the payment for each 30 min would be $ 36.01.
Rule of ThreeIt's a math tool for solving problems about proportion. You can relate more than 2 variables and from the proportion, it's possible to find an unknown number.
Conversion Unit TimeIn the International System Units (SI), the standard unit for time is the second (s). For solving any exercise, you need to know the relation between the units of the time. See below:
1h=60 min = 3600s
1 min = 60 s
Now you can solve the question from the rule of three for finding the payment in dollars.
The question gives: an each 8.33 min, the payment is 10 dollars. Thus, from this relation you can write:
For 6 hFirst, you should convert 6h to minutes, then,
1 h ----- 60 min
6h ----- x
x=60*6=360 min
After that, you should apply the rule of three for finding the payment in dollars.
8.33 min ----- 10 dollars.
360 min ------- x
8.33x=360*10
8.33x=3600
x= $ 432.2
For 30minYou should apply the rule of three for finding the payment in dollars.
8.33 min ----- 10 dollars.
30 min ------- x
8.33x=30*10
8.33x=300
x= $ 36.01
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HELP ME PLEOPLE THIS IS SO CONFUSING HELP ME I WILL GET SUSPENDED IF I DON"T ANSWER THIS HELP ME PLEASE HELP I WILL GET A 0 AND SUSPENDED HELP
PLEASE HELP!!!!!!!!! It’s algebra
Answer:
See below
Step-by-step explanation:
From 5 to 10 mugs is 5 mugs
These cost 110 - 67.50 = 42.50
So each mug costs 42.50 / 5 = 8.50 each
With a 'base cost' of 25 dollars
(Base cost might be artwork, design, order processing, shipping or whatever.....but this amount is added to each order)
(As a check 20 mugs would be 25 + 20 (8.50) = 195 <====yep
150 mugs will then be 25 + 150 ( 8.50) = 1300 dollars
Chad doesnt have any money, but he owes his sister $15, owes his brother $9 and owes his friend $24. What integer could be used to represent the amount of money chad has?
Answer:
- 48.00
Step-by-step explanation:
Add all the debt up.
Answer: -48
Step-by-Step Explanation:
Money that Chad owes his Sister = $15
Money that Chad owes his Brother = $9
Money that Chad owes his Friend = $24
Total Money he owes = 15 + 9 + 24 = $48
Hence, Total Money he has = -48 (since he doesn't have any money)
Please helppp as fast as possible 20 points ***
FIND THE DOMAIN & RANGE OF THE FUNCTION
g(x)=|x + 4|
Please helppp as fast as possible
Answer:
Domain: (−∞,∞),{x | x ∈ R}
Range: [0,∞),{y|y≥0}
Step-by-step explanation:
Find the area of 2x-9 + x+5
Answer: 3x-4
Step-by-step explanation: First Simplify, add the numbers 2x-9+x+5=2x-4+x Then combine like terms, 2x-4+x= 3x-4
I have a graph with the question. If the parent function is y= 2 to the power of x plus 2, which is the function of the graph
The parent function of the graph is
[tex]y=2^x[/tex]The function of the grapg will be
[tex]y=2^{x\text{ + a}}\text{ + b}[/tex]at x equals infinity y equals 1
Therefore
[tex]\begin{gathered} \text{x =}\infty\text{ then y = 1} \\ \text{this implies} \\ b\text{ = 1} \end{gathered}[/tex]Therefore the function will now be
[tex]y=2^{x\text{ + a}}\text{ + 1}[/tex]from the graph
x = 2 when y = 2
Therefore,
[tex]\begin{gathered} 2=2^{2\text{ + a}}\text{ + 1} \\ 2-1=2^{2\text{ + a}} \\ 1=2^{2\text{ + a}} \\ \text{recall 1 = 2}^0 \\ 2^0=2^{2\text{ + a}} \\ 2\text{ + a = 0} \\ a\text{ = - 2} \end{gathered}[/tex]Therefore, the function is
[tex]y=2^{x\text{ - 2}}\text{ + 1}[/tex]someone include steps if you can
Using the concept of the equation, it can be concluded that Levi answered the first question wrong and the last two correctly. Thus,
No
Yes
Yes
How to check whether the value of x satisfies the equation?To check the value of x satisfies the equation, put the value of x and if it matches the resultant, it is correct.
Now solving the first part, x/4=20;x=5
So, putting x=5 in the equation 5/4=1.25 is not matching with the resultant ie. 20.
Therefore, this is the incorrect value of x.
Now solving the second part, 1.5x-8=7;x=10
So, putting x=10 in equation 1.5*10-8= 15-8=7
It matches with the resultant.
Therefore, this is the correct value of x.
Now solving the third part, 4x+6=58; x=13
So, putting x=13 in equation 4(13)+6= 52+6=58
It matches with the resultant.
Therefore, this is the correct value of x.
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Choose a relationship model that will reach $0 in the same number of days as this scenario: mika has $12 and spends $2 each day. y = â€""2x â€"" 12 y = â€""3x 18 y = â€""4x 12 y = â€""12x 2
The equation that represent the relationship model that will reach $0 in the same number of days as the scenario gave is: y = -2x + 12
To solve this problem, we have to state the equation using the information of the problem.
Information about the problem:
Mika has = $12Mika spend = $2 per dayDay = xy = $0Writing the equation according to the information gave, we have:
y = -2x + 12
Where:
y = 0$x = daysSo that (y) equals zero, the number of days (x) should be = 6
y = -2x + 12
0 = -2*6 + 12
0 = -12 + 12
0 = 0
The "y" variable is the dependent variable, because it will change according to the number of days passed (x).
The "x" variable is the independent variable, because it doesn't depend on any other value, just the number of days passed.
What is an equation?An equation is the equality between two algebraic expressions, which have at least one unknown or variable.
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Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
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Solve using substitution.
X = 7
-2x 9y = 13
(__ , __)?
Submit
Answer:
(7,-3)
Step-by-step explanation:
x = 7
-2x - 9y = 13
* Substituition is the easieat way to solve such a function.
- Firstly, put "7" instead of "x" in the equation.
- multiply "7" by "-2"
- Solve for "y"
* -2x-9y = 13
* -2×7-9y = 13
* -14-9y = 13
* -9y = 27
* -9y/-9 = 27/-9
* y = -3
# Since x = 7, the output/"y" will be -3
(7,-3)
can you explain each step please for i can write it on a paper along with you
The two groups are given one is those who are studied and other is those who are not studied.
Studied - 88,100,94,79,92,100,95,83,89,99,100,91,89,95,100,93,96,84.
Arrange in order.
79, 83, 84, 88, 89, 89, 91, 92, 93, 94, 95, 95, 96, 99, 100, 100, 100, 100
The mean of this group is
[tex]\frac{88+100+94+79+92+100+95+83+89+99+100+91+89+95+100+93+96+84}{18}[/tex][tex]\frac{1667}{18}=92.6[/tex]The mean is 92.6.
The median of this group is
Use the median formula for even
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}^{}}{2}[/tex]Substitute the value of n =18
[tex]m=\frac{(\frac{18}{2})^{th}+(\frac{18}{2}+1)^{th}^{}}{2}=\frac{9^{th}+10^{th}^{}}{2}[/tex][tex]m=\frac{93+94}{2}=93.5[/tex]The median is 93.5.
The mode of this group is 100 as it is appears 3 times .
The another group is not studied group.
Not studied - 82,72,45,91,58,83,65,87,90,77,73,89.
Arrange in order-
45, 58, 65, 72, 73, 77, 82, 83, 87, 89, 90, 91
The mean is determined as
[tex]\frac{82+72+45+91+58+83+65+87+90+77+73+89}{12}=\frac{912}{12}=76[/tex]The median is determined as
[tex]m=\frac{(\frac{n}{2})^{th}+(\frac{n}{2}+1)^{th}}{2}[/tex]Substitute n=12.
[tex]m=\frac{(\frac{12}{2})^{th}+(\frac{12}{2}+1)^{th}^{}}{2}=\frac{6^{th}+7^{th}}{2}=\frac{77+82}{2}=79.5[/tex]There is no mode.
So, from the all the data given.
The mean of the group that studied is over 15 percent points higher than the mean of the group that did not studied.
[tex]92.61-76=16.61[/tex]The median of the group that did not studied is less than 80.
In general , those students that studied scored much higher than those students that did not study.
The correct options are a , c and e.
PLEASE ANSWER QUICK IT IS THE LAST PROBLEM ON HERE AND IT IS DUE TODAY!!!
Answer should be inequality!
Ray had scores of 75, 82, 94, and 77 on his first four algebra tests. What must he score on the next test to have an average of at least 85?
Please show work as well if possible.
Answer:
x ≥ 97
Step-by-step explanation:
Average = Sum of values divided by the amount of numbers in a data set
Data Set: {75, 82, 94, 77, ?}
75 + 82 + 94 + 77 + ? = ? ÷ 5 = 85
85 x 5 = 425
75 + 82 + 94 + 77 + ? = 425 ÷ 5 = 85
75 + 82 + 94 + 77 = 328
425 - 328 = 97
Ray must score greater than or equal to 97, or x ≥ 97 in order to have an average of at least 85.
If ax-3=bx+5 then the solution for x in terms of a and b is
In this equation the solution for x in terms of a and b is 8.
What is equation?
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two expressions 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.
Sol- As per the question given that- ax-3= bx+5------(equation 1)
Let ax=3-----(equation 2)
And bx =5------(equation 3)
On adding equation(1)and (2) we get
(ax)+(bx)= 3+5
(ax)+(bx)=8
x(a+b)+y(a+b)=8
(x+y)+(a+b)=8
1×(a+b)=8
Thus
a+b=8
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this is a little hard for me help me out please
The simplified form of the expression as a fraction is -43/390.
Solving expressions and simplifying fractionsFractions are expression written as a ratio of two integers. For instance, a/b are known as fractions.
Given the expression below:
[2-|-2/3-2(-1/5)|]÷(-13)
In order to solve the expression, we will use the PEMDAS rule to have:
[2-|-2/3-2(-1/5)|]÷(-13)
[2-|-2/3+1/10)|]÷(-13)
Find the LCM
[2-|-20+3/30|]÷(-13)
[2-|-17/30|]÷(-13)
[2-(17/30)]÷(-13)
[60-17/30]÷(-13)
43/30÷(-13)
Change the division sign to multiplication
43/30÷(-13)
43/30 * -1/13
-43/390
This gives the simplified form of the expression.
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The larger of two numbers is five times the difference of the small number and one. If sum of the two numbers is 50 what are the two numbers?
Answer:
Step-by-step explanation:
40.833 recurring and 9.166 recurring
or 40 5/6 and 9 1/6
Call the small number 's'
Call the big number 'b'
The word problem says:
B+S=50 and also that 5(S-1)=B which multiplied out is 5S-5=B
So, 5S-5=B=50-S
Therefore 6S=55 and the rest history!
Answer:
Step-by-step explanation:
