Answer:
k= 1 /15 x^3
Step-by-step explanation:
4/3 x 3/4 = 5k
5k= 1 /3 x^3
k= 1 /15 x^3
The required value of k in the given equation (4/3) × (3/4) = 5k is 1/5.
To find the value of k in the equation (4/3) × (3/4) = 5k, we need to simplify the left side of the equation and solve for k.
Multiplying the fractions on the left side:
(4/3) × (3/4) = 12/12 = 1
Now we have the equation 1 = 5k. To solve for k, we need to isolate it on one side of the equation.
Dividing both sides of the equation by 5:
1/5 = k
Hence, the value of k in the given equation is 1/5.
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The correct question is as follows:
If (4/3) × (3/4) = 5k, then find the value of k.
The perimeter of a rectangle is 162 cm. The length of the rectangle is eleven centimeters more than
four times the size of the width. What is the length and width of the rectangle?
let
width = w
length = 4w + 11
2(length) + 2(width) = perimeter
2(4w + 11) + 2(w) = 162
8w + 22 + 2w = 162
10w + 22 = 162
10w = 140
w = 14 cm (WIDTH)
length = 4w + 11
length = 4(14) + 11
length = 56 + 11
LENGTH = 67 cm
The length is 4(14)+ 11 = 67 cm and width is 14 cm.
what is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
Perimeter of rectangle = 162 cm
let the width be x .
then, the length is 4x+ 11
Thus, Perimeter of rectangle= 2(l + w)
162 = 2( 4x + 11 + x)
162 = 2( 5x +11)
81 = 5x+ 11
5x= 70
x= 14
Hence, the length is 4(14)+ 11 = 67 cm and width is 14 cm.
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Solve the equation x2 – 18x= 40.
Answer:
x=−2 or x=20
Step-by-step explanation:
Answer:
x=20,-2
Step-by-step explanation:
solve (x - 3)^2 = 81 quadratic equation
Answer:
x=12
Step-by-step:
Square root both sides to get
x-3=9
Then take 3 to the other side
x=9+3
x=12
What is the perimeter of the trapezoid?
units.
Answer:
20 unitsStep-by-step explanation:
perimeter of the given trapezoid = 7 + 4 + 4 + 5
= 20 units
(see image below)
Find f(-2) for f(x) = 3 • 2x
Answer:
A
Step-by-step explanation:
2^-2 is -4 I believe and then multiplied by three would be -12
Find the slope of the line that passes through (-27, 71) and (13, -56).
Answer:
-127/40
Step-by-step explanation:
Sorry this is super late, but here we go!
the equation for slope: (y2-y1)/(x2-x1)
we can label the points
x1=-27
y1=71
x2=13
y2=-56
now, sub. into the equation
(-56-71)/(13--27)
-127/40
yes... that's actually the number
Hope this helps though!
b) 7p + 6q- 2p + q = ?
[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]
Answer:
5p+7q is the answer
Step-by-step explanation:
What is the volume of this composite solid?
2 m
8 m
3 m
5 m
Answer:
240
Step-by-step explanation:
2*8*3*5
Answer:
160
Step-by-step explanation:
a P e X
GIVE AWAY! TOO LATE OH WELL
Answer:
omg thanks
Step-by-step explanation:
Answer:
I like yo cut G
Step-by-step explanation:
Answer within 5 minutes, and get brainliest!
What is -2(3x+12y-5-17x-16y+4) simplified?
Answer:
28+8+2
Step-by-step explanation:
-2(3x+12y-5-17x-16y+4)
-2(3x+12y-1-17x-16y+4)
-2(3+12-1-17-16)
-2(-14+12-1-16)
-2(-14+12-1-16y)
-2(-14-4-1)
-2(-14-4-1)
28+8+2
You are buying a coke for yourself and tacos for your friends. You have a limited budget of y dollars. If the coke cost $2.25 and the tacos
$1.25 each, write a linear inequality to help determine how many tacos you can buy.
Oy > 1.25x + 2.25
Oy > 2.25x + 1.25
Oy < 2.252 + 1.25
Oy < 1.250 + 2.25
Answer:
D. Y<1.25x+2.25
Step-by-step explanation:
2y–3x >10, how do u answer and graph that
Answer:
slope=3/2 y inter. = (0,5)
Step-by-step explanation:
4a2 - 1
c) 2а – За – 2
what is a domain and range
and how do I find it
Answer: Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
0.052 divided by blank equals 0.052
Answer:
0.002704
Step-by-step explanation:
You just multiply 0.052 by itself
then divide the answer by 0.052
Pls help my benchmark is almost up
Answer:
Step-by-step explanation:
whats the question i cant read it
i can help you once i know
i need pointsasdfghjklkjhgfdsasdfgh
Answer:
????
Merry Christmas
Happy Holidays
what is 39.5/4 if you tell me you get 45 points
Answer:
9.875
Step-by-step explanation:
Answer:
9.875
Step-by-step explanation:
get a calculator
WILL GIVE BRAINLIEST POINTS AND LIKES AND FIVE STARS!!!!
Which is a correct statement about the description “six less than the quotient of a number cubed and nine, increased by twelve” when n = 3? Check all that apply.
The correct expression is 6 minus StartFraction n cubed Over 9 EndFraction + 12.
The correct expression is StartFraction n cubed Over 9 EndFraction minus 6 + 12.
One of the steps to determining the value when n = 3 is 3 minus 6 + 12.
One of the steps to determining the value when n = 3 is 6 minus 3 + 12.
The value when n = 3 is 7.
The value when n = 3 is 9.
The value when n = 3 is 15.
The value when n = 3 is 17.
Option 2 is correct.The value when n= 3 is 9
Could i have branliest and heart pls
Answer:
The value when n = 3 is 9
Step-by-step explanation:
I ANSWERD FIRST
Henry is making a corn grits recipe that calls for 14 cup of corn grits for every 12 cup of water.
How much water will he need if he uses 112 cups of corn grits?
Answer:
2 cups of water
Step-by-step explanation:
Graph the equation
3x + 4y = 12
6
5
4
d
3
2
1
-7-6
-5 4 3 -2 -1
3
4
5
6
7
-2.
-3
4
-6
Clear All Draw
There ya go, good luck,,,,
Need help with these 2
Answer:
1)(6,4)
11+1=12/2 =6
6+2=8/2=4
4.
What is the result of (f X g)(x) if
f(x) = -3x + 11 and g(x) = 11x + 7?
( 33x² 100x - 77
(B 33x - 142x - 77
C -33x + 100x + 77
D -33x² + 142x + 77
Answer:
thank you
Step-by-step explanation:
thanks for the pts i need them sowwy
F(x) = 2x-(x+6) for f(-3)
Can a trinomial with a leading coefficient not equal to 1 have two identical factors If so , give an example .
Answer:
COEFFICENT
Step-by-step explanation:
A customer buys an item that originally costs x dollars from a retail store and uses a $10.00 off coupon. The store clerk uses the function C(x)=1.06(x−10) to calculate the final cost of the customer’s item.
Answer:
the value of c(30) is 21.2, which represents the customers final cost of $21.20
Step-by-step explanation:
d
Write the equation of the line that is parallel to the original equation and passes through the point
(12, 6).
Answer:
12
Step-by-step explanation:
Classify the triangle
Answer: B I believe
Step-by-step explanation:
Answer:
Isosceles becuase there are 2 equal sides but 1 side is different.
For a least squares regression line, the sum of the residuals is __________.
a. sometimes positive and sometimes negative.
b. always negative.
c. always positive.
d. always zero.
Answer:
d. always zero.
Step-by-step explanation:
A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.
For a least squares regression line, the sum of the residuals is always zero.
Basically, residuals are used to measure or determine whether or not the line of regression is a good fit or match for the data by subtracting the difference between them i.e the predicted y value and the actual y value, for the x value respectively.
Solve the equation M^2+4m+9=0.
Fully simplify all answers including non real solutions
Should end up with an answer like M=
Answer:
2 solutions:
1) m =(4-√52)/2=2-√ 13 = -1.606
2) m =(4+√52)/2=2+√ 13 = 5.606
Step-by-step explanation
The first term is, m2 its coefficient is 1 .
The middle term is, -4m its coefficient is -4 .
The last term, "the constant", is -9
Step-1 : Multiply the coefficient of the first term by the constant 1 • -9 = -9
Step-2 : Find two factors of -9 whose sum equals the coefficient of the middle term, which is -4 .
-9 + 1 = -8
-3 + 3 = 0
-1 + 9 = 8
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Equation at the end of step 1:
m2 - 4m - 9 = 0
STEP 2:
Parabola, Finding the Vertex:
2.1 Find the Vertex of y = m2-4m-9
Parabolas have a highest or a lowest point called the Vertex . Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) . We know this even before plotting "y" because the coefficient of the first term, 1 , is positive (greater than zero).
Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.
Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.
For any parabola,Am2+Bm+C,the m -coordinate of the vertex is given by -B/(2A) . In our case the m coordinate is 2.0000
Plugging into the parabola formula 2.0000 for m we can calculate the y -coordinate :
y = 1.0 * 2.00 * 2.00 - 4.0 * 2.00 - 9.0
or y = -13.000
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = m2-4m-9
Axis of Symmetry (dashed) {m}={ 2.00}
Vertex at {m,y} = { 2.00,-13.00}
m -Intercepts (Roots) :
Root 1 at {m,y} = {-1.61, 0.00}
Root 2 at {m,y} = { 5.61, 0.00}
Add 9 to both side of the equation :
m2-4m = 9
Now the clever bit: Take the coefficient of m , which is 4 , divide by two, giving 2 , and finally square it giving 4
Add 4 to both sides of the equation :
On the right hand side we have :
9 + 4 or, (9/1)+(4/1)
The common denominator of the two fractions is 1 Adding (9/1)+(4/1) gives 13/1
So adding to both sides we finally get :
m2-4m+4 = 13
Adding 4 has completed the left hand side into a perfect square :
m2-4m+4 =
(m-2) • (m-2) =
(m-2)2
Things which are equal to the same thing are also equal to one another. Since
m2-4m+4 = 13 and
m2-4m+4 = (m-2)2
then, according to the law of transitivity,
(m-2)2 = 13
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(m-2)2 is
(m-2)2/2 =
(m-2)1 =
m-2
Now, applying the Square Root Principle to Eq. #2.2.1 we get:
m-2 = √ 13
Add 2 to both sides to obtain:
m = 2 + √ 13
Since a square root has two values, one positive and the other negative
m2 - 4m - 9 = 0
has two solutions:
m = 2 + √ 13
or
m = 2 - √ 13
Solving m2-4m-9 = 0 by the Quadratic Formula .
According to the Quadratic Formula, m , the solution for Am2+Bm+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
m = ————————
2A
In our case, A = 1
B = -4
C = -9
Accordingly, B2 - 4AC =
16 - (-36) =
52
Applying the quadratic formula :
4 ± √ 52
m = —————
2
Can √ 52 be simplified ?
Yes! The prime factorization of 52 is
2•2•13
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 52 = √ 2•2•13 =
± 2 • √ 13
√ 13 , rounded to 4 decimal digits, is 3.6056
So now we are looking at:
m = ( 4 ± 2 • 3.606 ) / 2
Two real solutions:
m =(4+√52)/2=2+√ 13 = 5.606
or:
m =(4-√52)/2=2-√ 13 = -1.606
