Answer:
True
Step-by-step explanation:
The volume of a cube depends on the length of its sides.
To find the volume, you will need only one side measurement, because a cube has all lengths equal.
V = a³
True.
Volume of cube is [tex]V=a^3[/tex] where [tex]a[/tex] is cube's side. Thus volume depends on sides.
Hope this helps.
Solve the system. 2(y - x) = 5 + 2x 2(y + x) = 5 - 2y A) ( 1 2 , 3 2 ) B) (−2, 2 3 ) C) (− 1 2 , 3 2 ) D) ( 1 2 , − 3 2 )
Answer: C) [tex](-\dfrac{1}{2},\dfrac{3}{2})[/tex]
Step-by-step explanation:
The given system of equations :
[tex]2(y-x) = 5+2x\ \ ...(i)\\\\ 2(y+x)=5-2y\ \ ..(ii)[/tex]
Simplify left side, we get
[tex]2y-2x=5+2x\Rightarrow\ 2y-4x=5\ \ ...(iii)\\\\ 2y+2x=5-2y\Rightarrow\ 4y+2x=5\ \ ...(iv)[/tex]
Multiplying 2 on equation (iii), we get
[tex]4y-8x=10\ \ ...(v)[/tex]
Subtracting (v) from (iv) , we get
[tex]2x-(-8x)=5-10\\\\\Rightarrow\ 2x+8x=-5\\\\\Rightarrow\ 10x=-5\\\\\Rightarrow\ x=-\dfrac{5}{10}=-\dfrac{1}{2}[/tex]
Put value of [tex]x=-\dfrac{1}{2}[/tex] in (v), we get
[tex]4y-8(-\dfrac{1}{2})=10\\\\\Rightarrow \ 4y+4=10\\\\\Rightarrow\ 4y=10-4=6\\\\\Rightarrow\ y=\dfrac{6}{4}=\dfrac{3}{2}[/tex]
hence, the solution to the system is [tex](x,y)=(-\dfrac{1}{2},\dfrac{3}{2})[/tex]
which expression is equivalent to 3 1/3?
Answer:
your answer is "A" 1/3
Step-by-step explanation:
given f(x) = 3/2x - 5 and g(x) = x^2 + 2x solve for g(-2)
Answer:
g(-2) = 0
Step-by-step explanation:
Since it is asking for g(-2), that means that we only have to worry about the equation g(x) = x^2+2x. When it asks for g(-2), that means you replace every "x" that shows up in the equation with -2.
So plugging in -2 for x we get g(-2)=(-2)^2+2(-2). Simplifying we get g(-2)=4+(-4). Now adding we finally get g(-2)=0
A student is trying to solve the system of two equations given below: Equation P: a + b = 6 Equation Q: 4a + 2b = 19 Which of the following steps can be used to eliminate the a term? −1(4a + 2b = 19) −4(4a + 2b = 19) −4(a + b = 6) 4(a + b = 6)
Answer:
[tex]-4(a + b = 6)[/tex]
Step-by-step explanation:
Given
[tex]a + b = 6[/tex]
[tex]4a + 2b = 19[/tex]
Required
Eliminate a
Multiply the first equation by -4
[tex]-4(a + b = 6)[/tex]
Add to the second equation
[tex]-4(a + b = 6) + (4a + 2b = 19)[/tex]
Solve brackets
[tex](-4a -4b = -24) + (4a + 2b = 19)[/tex]
Open bracket
[tex]-4a + 4a -4b + 2b = -24 + 19[/tex]
[tex]-4b + 2b = -24 + 19[/tex]
At this point, a has been eliminated;
From the list of given options, the option that answers the question is [tex]-4(a + b = 6)[/tex]
A 14-year old girl caught feelings too fast and/or fell too hard. She judged herself every single day. She felt as if people judged her as she walked past people. She wanted to loose weight. How can she loose 139 lbs if she ways 180 lbs without going on a diet or taking any medicine or pills? How much lbs would she loose? How much would she weigh after? What sizes would she wear in all clothing?
Answer:
She can loosen weight by exercising. If she exercises for about 6-8 months she can loosen about 139 pounds. After loosing that much weight, she will weigh 40 lbs/pounds. She will then wear clothes of S(Small) size.
Step-by-step explanation:
Tried my best
Rewrite without parentheses. (3y^5z^4-7y^3)(-5yz^6) simplify your answer as much as possible.
Answer:
-15y^6z^{10}+35y^4z^6
Step-by-step explanation:
used an equation calculator
Consider functions f and g below. [tex]g(x) = -x^{2} + 2x + 4[/tex] Which of the following statements is true? A. As x approaches infinity, the values of f(x) and g(x) both approach infinity. B. As x approaches infinity, the values of f(x) and g(x) both approach negative infinity. C. As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. D. As x approaches infinity, the value of f(x) approaches negative infinity and the value of g(x) approaches infinity.
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity. Then the correct option is C.
What is the parabola?The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
Where a is the leading coefficient.
Consider functions f and g below.
g(x) = –x² + 2x + 4
The function can be written as
g(x) = –(x – 1)² + 5
As x approaches infinity, the value of f(x) approaches infinity and the value of g(x) approaches negative infinity.
Then the correct option is C.
More about the parabola link is given below.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Find the measure of the angel. n=_°
Answer:
n = 25°
Step-by-step explanation:
All interior angles of a triangle add up to 180°. We already know one of the angles is 90°, so we can build an equation:
90 + (n + 40) + n = 180.
Then we combine like-terms and subtract:
130 + 2n = 180,
2n = 50.
Then we divide by 2 to get our answer:
n = 25.
To double check, we insert 25 as our value:
90 + (40 + 25) + 25 = 180.
To fill up a car with 16 gallons cost $30.24. Which of the following is an equation that determines the
cost c for g gallons of gas?
Answer:
30.24/16= $1.89 per gallon = c/g
Step-by-step explanation:
c = $30.24
g = 16
Divide c/g
Answer:
g gallon = $1.89 g
Step-by-step explanation:
Gallon = g
16 gallons = 16 g
Cost = $30.24
So,
16 gallons = $30.24
1 gallon = $30.24/16
1 gallon = $1.89
g gallon = $1.89 g
A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute
Answer:
D: Acute triangle
Step-by-step explanation:
First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:
5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.
The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.
Answer: D) Acute
Step-by-step explanation:
Determine the domain of the function 9x/x(x^2-36)
Answer:
{ x ≠ ±6 ∪ x ≠ ± 6}
Step-by-step explanation:
x cannot be zero even though x can be cancelled in this expression. Furthermore, x^2 - 36 cannot be zero, and thus x ≠ ±6.
Domain is { x ≠ ±6 ∪ x ≠ ± 6}
Which statement is true about the following system of equations?
3x - 1/2y = 1
x + 2y = 7
Select one:
a. y<x
O b.y=x
O c.y>x
d. can not be determined
Answer:
c. y>x
Step-by-step explanation:
When given a system of equations, one of many methods can be used to solve these types of systems. One of these includes substitution which involves solving for one variable that is included in another equation, and putting that equality in place of the variable.
Here is what I mean by this:
Given that 3x - 1/2y = 1, and x + 2y = 7, you can rearrange the x + 2y = 7 to solve for x by isolating it.
x + 2y = 7 → x = 2y - 2y = 7 - 2y [for an equation, what you do to one side, you must do to the other] → x = 7 - 2y.
Now that we have an expression which is equal to x.
We can directly replace that with the 3x in the other equation by multypling this by 3:
x = 7 - 2y → 3(x) - 1/2y = 1
3(7 - 2y) - 1/2y = 1
Now that we only have y's, we can simply the equation, and solve for y.
21 - 6y - 1/2y = 1
21 -13/2y = 1
(get rid of the constant on the left side by subtracting)
-21 -21
-13/2y = -20
(remove the denominator by Multiplying)
×2 ×2
-13y = -40
÷13 ÷13
(cancel out the coefficient by dividing)
-y = -40/13
(take the opposite of the other side to make y positive)
×-1 ×-1
y = 40/13.
Now that we have y just solve for x since we already have a term of x in the other equation:
y = 40/13 → x + 2y = 7
x + 2(40/13) = 7
x + 80/13 = 7
Then subtract both constants to find x:
x + 80/13 - 80/13 = 7 - 80/13
x = 7 - 80/13
(create like denominators, but Multipy
С
Use the geometric mean (leg) theorem. What is the
value of a?
b
A
0 72
h
02770
6
a
O 2015
705
14
B
Intro
Done
Answer: it is a
Step-by-step explanation:
the diagram shows a right angled triangle use pythagoras theorem to work out length of side ac
Answer:
Step-by-step explanation:
Using Pythagoras theorem,
AC^2 = AB^2 + BC^2
AC^2 = 4^2 + 15^2
AC^2 = 16 + 225
AC^2 = 241
AC = √241
Based on the graph, what is the initial value of the linear relationship?
A coordinate plane is shown. A line passes through the x axis at negative 3 and the y axis at 5.
−4
−3
five over three
5
Answer: The slope is five over three
Step-by-step explanation:
The equation for this graph would be: y= 5x/3 +5
Answer:
5
Step-by-step explanation:
Initial value is basically another way to say the y intercept. I mean if you think about it, most word problem linear relations start the graph at the y intercept.
Hope this helps :)
One pump can fill a reservoir in 60 hours. Another pump can fill the same reservoir in 80 hours. a third can empty the reservoir in 90 hours. If all three pumps are operating at the same time, how long will it take to fill the reservoir?
one pump, let's call it A, fills the reservoir by 1/60 every hour. Now, B fills it by 1/80 every hour. C empties it by 1/90 every hour. All three are on, so now we combine them into one function: t(1/60 + 1/80 - 1/90) = 1, where t = the time it takes to fill it, and 1 is just our "reservoir finally filled" marker.
isolate t onto one side and we see t = 720/13 exactly, or approximately 55.38 hours. let me know if this is the wrong answer but I'm pretty sure it is correct!
Answer:
1/time needed = 1/time of 1st pump + 1/time of 2nd pump - 1/time of 3rd pump
1/t = 1/t1 + 1/t2 - 1/t3
1/t = 1/60 + 1/80 - 1/90
1/t = 12/720 + 9/720 - 8/720
1/t = 13/720
t = 720/13 hours = 55.38 hours = 55 hours 23 minutes
In the figure, O is the center, PT and PR are tangents, and
mZTOR = 150°. If OR = 6 cm, then what is the measure of
ZTPR?
a. 210°
b. 30°
c. 105°
d. 15°
Answer:
b. 30°
Step-by-step explanation:
In quadrilateral OTPR, angles O and P are supplementary.
angle P = 180° -angle O = 180° -150°
angle P = 30° . . . . matches choice B
The points plotted below satisfy a polynomial. In what ranges of x-values must there be a root of the graph? Check all that apply. I will mark brainliest!
Answer:
not sure,but I think the answer is 3 to 4
What is the simplest form of 3/27a2b7?
3ab? (VD)
3abº (V3ab
O gab? (VD)
9ab33ab
Can someone help me plz?:)
Answer:
the solution is A
Step-by-step explanation:
[tex]\sqrt[3]{27a^{3}b^{7} } \\[/tex]
[tex]\sqrt[3]{(3)^3(a^3)(b^6)b}\\\\3ab^2\sqrt[3]{b}[/tex]
Answer:
3ab^2(3/b)
THE ANSWER A
Step-by-step explanation:
2020 HEHE
th
Write an
explicit formula for
ans
then
term of the sequence 40,50,60, ....
n starts at 1, and n is a positive whole number (1,2,3,...)
======================================================
Explanation:
The sequence is arithmetic with first term 40 and common difference 10. Meaning we add 10 to each term to get the next one.
--------
a1 = 40 = first term
d = 10 = common difference
[tex]a_n = a_1 + d(n-1)\\\\a_n = 40 + 10(n-1)\\\\a_n = 40 + 10n-10\\\\a_n = 10n + 30\\\\[/tex]
is the general nth term of this arithmetic sequence
Plug in n = 1 and you should get [tex]a_1 = 40[/tex]
Plug in n = 2 and you should get [tex]a_2 = 50[/tex]
and so on
In an election 32 thousand people voted for Mayor Jackson . A total of 56 thousand people voted in the election . What is the ratio of number of votes that were not mayor Jackson to the total number of votes in simplest?
Answer:
3/7
Step-by-step explanation:
to find the ratio of the number of votes that weren’t mayor jackson you do 56-32. the ratio will be 24/56. now you just simplify to get 3/7
Answer:
3/7
Step-by-step explanation:
Subtract 32,000 from 56,000 and you will get 24,000
24,000/56,000 is simplified to 3/7
PLEASE HELP!!!!!! the sum of a number times 10 and 15 is at most -17
Let the number = x
Writing the equation you have:
10x + 15 <= -17
Solve for x
Subtract 15 from both sides:
10x <= -32
Divide both sides by 10:
X <= -32/10
Simplify:
X <= -16/5 as a fraction or -3.2 as a decimal
HELP NEEDED,THANK YOU find all real zeros and complex of each function f(x)=x(4x-6)(x+1)(3x+5).SHOW WORK!!!
Answer:
x=0, 3/2, -1, -5/3
Step-by-step explanation:
The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)
The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)
So the answer is 0, 3/2, -1, and -5/3.
The question and pic is on the picture I took a picture of
Answer:
m<y = 155
Step-by-step explanation:
If m<x = 155, then m<y = 155 (Because vertically opposite angles are congruent)
Answer:
155°
Step-by-step explanation:
The two angles are a pair of vertically opposite angles.
Verticall opposite angles are opposite to each other and are equal.
Angle x = Angle y
155 = 155
literally a free 50 points, just need the answer, What is the solution to the equation fraction 4 over 5 n minus fraction 1 over 5 equals fraction 2 over 5 n?
Answer:
n = 1/2
Step-by-step explanation:
So the equation is 4/5n - 1/5 = 2/5n.
So, the first thing that we need to do is get the variable on one side.
So, to do that we need to subtract 4/5n on both sides.
Now our equation is -1/5 = -2/5n
Now the last step is to simplify.
To do that, we need to multiply by the reciprocal of 2/5 on both sides.
That leaves us with 1/2 = n
Answer:
n = 2
Step-by-step explanation:
=> [tex]\frac{4}{5n} - \frac{1}{5} = \frac{2}{5n}[/tex]
Combining like terms
=> [tex]\frac{4}{5n } - \frac{2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{4-2}{5n} = \frac{1}{5}[/tex]
=> [tex]\frac{2}{5n}= \frac{1}{5}[/tex]
Cross Multiplying
=> 5n = 2*5
=> 5n = 10
Dividing both sides by 5
=> n = 2
A sequence of transformations is described below.
A dilation about a point P
A rotation about another point Q
A vertical stretch about the horizontal line PQ
A reflection over a line PQ
Answer: Neither angle measures nor segment lengths
Please help me find the missing length of the triangle in the attached image. Thanks!
Answer:
? = 21
Step-by-step explanation:
Parallel lines cut off proportional segments on transversals.
27/? = 18/14
18 * ? = 27 * 14
2 * ? = 3 * 14
? = 3 * 7
? = 21
Answer:
21
Step-by-step explanation:
Shrimp costs $12 per pound. You buy
40 ounces. How much will you.( please show your work )
Answer:
$30
Step-by-step explanation:
Ounces to pounds. 16oz in a pound.
40 / 16 = 2.5
12 x 2.5 = 30
You will pay $30 on shrimp.
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range
Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
The range is { -2 ≤ y≤ 3 } .
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Reflection is to create a mirror image of the coordinate or the figure.
After reflection along any axis, the coordinate of the other axis changes to its additive inverse.
(x,y) ----> when reflected along y axis ----> ( -x , y)
The domain is all the values a function can have as input and the range is all the values that a function can have.
The original coordinate changes to (-1,3),(2,1),(5,-1)and(-1,-2).
When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.
So the value of the domain changes while the range remains the same.
The range is { -2 ≤y≤3}
To know more about Transformation
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