Absolute value of 6.4 is 6.4 itself.
What is the number line?A horizontal line with evenly spaced numerical increments is called a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that if corresponds to, such as when graphing a point.
Since, Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.
Thus, the absolute value of a positive number is always positive
Therefore, the Absolute value of 6.4 is 6.4.
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A parallelogram has a base of 10 centimeters and a height of 4 centimeters. What is the area of the parallelogram?
Answer:
Formula = base x height
10 x 4 = 40
Area = 40cm
Step-by-step explanation:
Help I need an equation and an answer
37. Mia won $77 in a raffle at her team's fundraiser. Later she split it amongst her friends and gave $14 to each, keeping $21 for herself. How many friends did she share it with?
she share it to thirty seven people
What are two ways you could represent the expression 3-4n
There are not just "the two ways" to represent this expression. There are two ways, surely, but they are not the only ways as implied.
You could expose 4 and get something like [tex]4(\frac{3}{4}-n)[/tex] or expose 3 and get something like [tex]3(1-\frac{4}{3}n)[/tex].
But you could also say something like [tex]3-(1+3)n=3-n-3n=-3(n-1)-n[/tex]... in fact there are a lot of ways to write any expression.
Hope this helps :)
A rectangle has an area of 48 cm2 and a perimeter of 38 cm. What are the dimensions of the rectangle?
The dimensions of the rectangle will be 3 cm. and 16 cm..
Solution:
First, calculating the area of the rectangle, based on these dimensions,
Formula for the area of a rectangle:
A=LW
A=(3)(16), or A=(16)(3)
A=48 cm²✔
So, now we know that these dimensions satisfy the area of the rectangle, but do they satisfy the perimeter of the rectangle?
Now, calculating the perimeter of the rectangle, based on these dimensions,
Formula for the perimeter of a rectangle:
P=2(L+W)
P=2(3+16), or 2(16+3)
P=2(19)
P=38 cm ✔
Now, we know that both of these dimensions satisfy both of the given conditions. So, the final answer is that the two dimensions of the rectangle are 3 cm. and 16 cm.. I hope that this answer helped you find what you were looking for. Enjoy your day, and take care.
The points represented by the (x,y) coordinate pairs in the table below all lie on line k. What is the slope of line k?
Answer:
the slope is -2/1
You can find it by using the equation [tex]\frac{y_{1}- y_{2} }{x_{1}- x_{2} }[/tex]
so 3-1/1-2= 2/-1, which is also written as -2/1
Find the output, k, when the input, t, is -7.
k= 10t - 19
k=
Answer:
Here is the answer . hope this helps.
solve -5x+y=1 and 9x-2y=4 using multiplication and then elimination.
Answer:
x = - 6, y = - 29
Step-by-step explanation:
Elimination:
2*(-5x + y = 1) = -10x + 2y = 2
9x - 2y = 4 = + (9x - 2y = 4) =
-x = 6
x = -6
9(-6)-2y=4
-54-2y=4
-2y=58
y=-29
Do the following graphs represent a mathematical function? If not, explain why.
Answer:
Yes for bothStep-by-step explanation:
In such cases use the vertical line test. If the graph is intersected at more than one point, it is not a function.
Both the given graphs represent a function as both pass the vertical line test.
Answer:
Yes
Step-by-step explanation:
Whenever you are given a problem that's asking to see if a graph is a function or not, always use the vetical line test to determine that. In short, you draw a line accross each y axis point and if the line only goes accross one point throughout the graph then it's a function. Following the test we will see that both graphs are indeed functions.
Best of Luck!
(1/5) to the power of 2
Answer:
0.04
Step-by-step explanation:
first we change 1/5 into a decimal which is 0.2
the we just multiply it by itself which is
0.04
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh, where s is the atmospheric pressure, d is the density of the liquid, and g is the acceleration due to gravity.
(Pls Explain in Simple terms)
Answer:
The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh,
State the domain of each function.
1. [tex]g(a)=\sqrt{1+a^{2}}[/tex]
2. [tex]f(x)=\frac{2}{x} + \frac{4}{x+1}[/tex]
Please show your work, as the steps are the only reason I'm asking.
Answer:
[tex] \rm \displaystyle g(a) = \sqrt{1 + {a}^{2} } \xrightarrow{ \rm Domain}a \in \mathbb{R}[/tex]
[tex] \rm\displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1} \xrightarrow{ \rm Domain}x \in \mathbb{R} / \{0, - 1 \}[/tex]
Step-by-step explanation:
Question-1:we want to figure out the domain of the following function:
[tex] \displaystyle g(a) = \sqrt{1 + {a}^{2} } [/tex]
remember that, the domain of an even root function are all values of x for which the redicand is positive or 0 that is being said the domain of the function g(a) belong to [tex]\mathbb{R}[/tex] . another way to think about it, the domain of square root function f(x) belong to x≥0. In this case we have square variable in the redical so when we input a negative number, it yields a positive number with that said the domain of the function g(a) belong to all the real numbers.Thus,
[tex] \rm \displaystyle g(a) = \sqrt{1 + {a}^{2} } \xrightarrow{ \rm Domain}a \in \mathbb{R}[/tex]
Question-2:we'd like to find the domain of the following function:
[tex] \displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1}[/tex]
in order to do so we need to simplify it further,so simplify addition in order to do so the first step is to figure out the LCM of the denominator i.e x(x+1) ⇒ x²+x, secondly divide the denominator of every fraction by the LCM and multiply the result by the numerator of very fraction ,then finally add them therefore,
[tex] \displaystyle f(x)=\frac{2x + 2+4x}{ {x}^{2} + x } \\ \displaystyle \boxed{\frac{6x + 2}{ {x}^{2} + x }} [/tex]
we know that the domain of a rational function are all the values of x for which the denominator is different than 0.
the denominator of the function would be 0 when x=0 and -1 thus,
[tex] \rm\displaystyle f(x)=\frac{2}{x} + \frac{4}{x+1} \xrightarrow{ \rm Domain}x \in \mathbb{R} / \{0, - 1 \}[/tex]
and we're done!
need help with some khan academy stuff
Answer:
2.2 % per minute
35 minutes
Step-by-step explanation:
(0,23%) and (30, 89%)
We can find the slope
m = ( y2-y1)/(x2-x1)
= (89-23)/(30-0)
66/30
=2.2 % per minute
To get to full change we need 100-23 = 77 %
77% * 1 minute/ 2.2 % =35 minutes
If 3x+2=5/9, what is the value of −3x+8?
Answer:
[tex] \frac{85}{9} [/tex]
Step-by-step explanation:
hopefully the picture is clear and understandable!
:)
Does anyone know how to finish this equation?
Please help
Solve the inequality.
|14 – 5x] > 8
[?]
x <
or x >
A
Answer:
x< -4/1 or x > 6/5
If our answers are different, just say so :)
I apologize for asking this again but I need help finding the complementary angles, ASAP
Answer:
2nd option is correct
∠AEF and ∠FED , ∠AEG and ∠CEG
Step-by-step explanation:
1st option is a supplementary and even 3rd and 4th options
Three foreign languages are offered at Cliff High School. 1/6 of the students take French, 1/5 take Spanish, and 1/3 German. Which
fraction represents the number of students taking a foreign language at Cliff HS?
Answer:
1/3
Step-by-step explanation:
The perimeter of the triangle below is 4x + 3y. Find the measure of the missing side.
Answer:
let side be t
t + x + y +x + y = 4x + 3y
t + 2x + 2y = 4x + 3y
t = 2x +y
so missing side length is 2x + y
If z=(x+y)e^y and x=5t and y=1−t^2, find the following derivative using the chain rule. Enter your answer as a function of t.
dz/dt= ?
By the chain rule, if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then
[tex]\dfrac{\mathrm dz}{\mathrm dt} = \dfrac{\partial f}{\partial x}\dfrac{\mathrm dx}{\mathrm dt} + \dfrac{\partial f}{\partial y}\dfrac{\mathrm dy}{\mathrm dt}[/tex]
We have [tex]f(x,y)=(x+y)e^y[/tex], for which
• [tex]\dfrac{\partial f}{\partial x} = e^y[/tex]
• [tex]\dfrac{\partial f}{\partial y} = e^y + (x+y)e^y = (x+y+1)e^y[/tex]
and [tex]x(t)=5t[/tex] and [tex]y(t)=1-t^2[/tex], so that
• [tex]\dfrac{\mathrm dx}{\mathrm dt} = 5[/tex]
• [tex]\dfrac{\mathrm dy}{\mathrm dt} = -2t[/tex]
Putting everything together, we get
[tex]\dfrac{\mathrm dz}{\mathrm dt} = 5e^y - 2t(x+y+1)e^y \\\\ \dfrac{\mathrm dz}{\mathrm dt} = 5e^{1-t^2} - 2t(5t-t^2+2)e^{1-t^2} = \boxed{\left(2t^3-10t^2-4t+5\right)e^{1-t^2}}[/tex]
The solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
What is the Chain rule?The chain rule explains how to calculate a composite function's derivative.
What is a composite function?If you may write [tex]f(g(x))[/tex] , a function is composite. It's a function within a function, or a function of a function, in other words.
By the chain rule, we can write if [tex]z=f(x,y)=f(x(t),y(t))[/tex], then,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
As it is given to us, [tex]f(x,y)=(x+y)e^y[/tex], therefore, we can write,
[tex]\dfrac{\partial f}{\partial x}=e^y[/tex][tex]\dfrac{\partial f}{\partial y}=e^y+(x+y)e^y=(x+y+1)e^y[/tex]And x(t)=5t, while y(t)=1-t², So,
[tex]\dfrac{dx}{dt}=5[/tex][tex]\dfrac{dy}{dt}=-2t[/tex]Now, Substitute all the values together, in the equation,
[tex]\dfrac{dz}{dt}=\dfrac{\partial f}{\partial x} \dfrac{dx}{dt}+\dfrac{\partial f}{\partial y} \dfrac{dy}{dt}[/tex]
Substituting the values we will get,
[tex]\dfrac{dz}{dt} &=(5 \times e^y)+[-2t(x+y+1)e^y]\\\\[/tex]
[tex]=5e^{1-t^2}-2t(5t-t^2+2)e^{1-t^2}\\\\=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex]
Hence, the solution of the derivative using the chain rule is [tex]\dfrac{dz}{dt}=(2t^3-10t^2-4t+5)e^{1-t^2}[/tex].
Learn more about Chain Rule:
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A baseball player had a batting average of 0.334 for the season. Write this numbwr in expanded form
Answer:
0.300 + 0.030 + 0.004
or
0.100 x 3 + 0.01 x 3 + 0.001 x 4
Barry is checking his bank account for a few transactions that he completed. He had $230
in his account to start and then contributed a check for $360. He paid his water, electric and
cable bill, which were $100, $46 and $107. How much money is in his bank account?
A. $253
B. $383
C. $590
D. $337
Answer:
D.
Step-by-step explanation:
$230 + $360 = $590
$590 - $253* = $337
$337
*( total sum of all the bills )
Simplify the following expression. 2p – 10 – 4p – 7
Answer:
the answer is-2p-3
hope is helpful
Answer:
2p – 10 – 4p –7
–2p –17
I hope I helped you^_^
Find the value of x.
95
38°
X
Answer:
47
Step-by-step explanation:
x is one of the three angles of a triangle. The other two are given as 95 and 38.
Together all three have to make 180 degrees.
x + 95 + 38 = 180
x + 133 = 180
x = 180 - 133
x = 47
Answer:
47
Step-by-step explanation:
as we know that sum of a triangle is always=180°
so x+38°+95°=180
so x+133=180
and x=180-133
so x= 47
New Orleans is 2 meters below sea level.
Baton Rouge is 17 meters above sea level.
How much higher is Baton Rouge than New Orleans?
Answer:
Baton Rouge is 19 meters higher that New Orleans.
A troop leader recorded whether the members of two troops prefer hiking or swimming. The troop leader plans to create a two-way table to display the results.
Which variables can the troop leader use as the row and column headings of the table?
troop number and number who prefer hiking
troop number and activity preference
activity preference and number of troop 1 members
activity preference and number of troop 2 members
Answer:
troop number and activity preference or b
Step-by-step explanation:
You have two cards with a sum of (-12) in your hand.
Add two more cards but the total of cards stay the same
Answer:
you could have a 6 and then a -6
or a 3 and a -3
or 0 and 0
have 2 cards with the same number but one is negative
Step-by-step explanation:
Finds real root off(x)=x3 +x2 +x+7=0
9514 1404 393
Answer:
x ≈ −2.10487278573
Step-by-step explanation:
I find a graphing calculator to be a very useful tool for the purpose. It shows the only real root is irrational and gives an approximation as x=-2.105.
The calculator also provides the means to perform Newton's method iteration easily to refine the value of the root to full calculator precision.
__
The Newton's method iterator for finding the next iteration of the root (x') is ...
x' = x - f(x)/f'(x)
Starting with the approximation shown on the graph, it only takes two iterations to get the root to the full precision of the calculator.
PLS PLS PLS IM BEGGING YOU, HELP ME, i’ve been trying so hard to solve this for hours and i still dont get it :( pls help me
Answer:
m=79
t=54
Step-by-step explanation:
yes these are the answers
Answer:
angle t = 54 degrees
angle m=79(alternate angles)
Step-by-step explanation:
angle p=126 degrees
angle z=79 degrees
angle p + angle t=180(allied angles)
126 + t =180
t =180-126
t = 54 degrees
u=79(vertically opposite angles)
therefore;
angle m=79(alternate angles)
Which of the following statements is true for the following data set?
7, 5, 6, 4, 7, 8, 12
a. Only the mean and median are equal.
b. Only the mean and mode are equal.
c. Only the median and mode are equal.
d. The mean, median, and mode are all equal.
Answer:
D.
Step-by-step explanation:
Mean : 7 + 5 + 6 + 4 + 7 + 8 + 12 = 12 + 10 + 7 + 20 = 30 + 19 = 49. 49/7= 7
Mode : 7.
Median 4 , 4, 6, 7, 7, 8, 12. 7 is the middle number
brainliest to best answer
Answer:
2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
so 2x1=2 so -2x-1=2
if its wrong i dont now cause im silly