Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
Factor the following polynomial completely. 5x4+20x3-105x2
Answer:
[tex]5x^{2}(x+7)(x-3)[/tex]
Step-by-step explanation:
5x4+20x3-105x2
5x2( x^2 +4x -21)
[tex]5x^{2}(x+7)(x-3)[/tex]
Find the remaining sides and angles in the triangle. Round your answers to the nearest tenth.
mZA = 55°, mZB = 44°, and b = 68
a. m2C = 81°, a = 96.7, c =80.2
b. m2C = 81°, a = 80.2, c = 96.7
C. m2C = 81°, a = 89.2, c = 57.7
d. m2C = 81°, a = 57.7, c =89.2
Answer:
The answer is "Option b".
Step-by-step explanation:
[tex]m\angle A = 55^{\circ}\\\\m\angle B = 44^{\circ}\\\\m\angle C = 180^{\circ}-(55^{\circ}+44^{\circ})\\\\[/tex]
[tex]= 180^{\circ}-99^{\circ}\\\\=81^{\circ}\\\\[/tex]
[tex]\frac{a}{\sin 55^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\a = \frac{68 \ \sin 55^{\circ}}{\sin 44^{\circ}}\\\\a= 80.2^{\circ}\\\\\frac{c}{\sin 81^{\circ}}= \frac{68}{\sin 44^{\circ}}\\\\c = \frac{68 \ \sin 81^{\circ}}{\sin 44^{\circ}}\\\\c= 96.7^{\circ}\\\\[/tex]
Find m>X
21.04
22.62
67.38
68.96
Answer:
67.38 degrees
Step-by-step explanation:
Here, we want to find the value of the angle at X
We are going to use the appropriate trigonometric ratio here
From the question, the vertex X faces the side 12 and that makes the side the opposite
The side 13 faces the right angle and that makes it the hypotenuse
The trigonometric ratio that connects both is the sine
so we have that;
sine X = 12/13
X = arc sin (12/13)
X = 67.38
Someone please help me
Please help I need help
Answer:
2 1/3
Step-by-step explanation:
Find the slope of the line containing the points (2,7) and (-5, -4).
Answer:
5
Step-by-step explanation:
please answer I need this answer fast please
D
its just a basic logarithmic law.
Dylan is saving money to buy a new bike that costs $195. He has $25 already saved and plans to save $40 each week. Which equation can be used to find the number of weeks he will need to save money to buy the bike?
Answer:
25+40x=195
Step-by-step explanation:
If he already has $25, you need to add that to 40x (40 times the amount of weeks it takes to get to 195, added with 25).
Which polynomial correctly combines the like term and express the given polynomial in standard form
Answer:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Step-by-step explanation:
Given
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Required
Correctly combine the like terms
We have:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3[/tex]
Collect like terms (in decreasing degrees of m)
[tex]- 2m^6 - 4m^6 - mn^5- m^3n^3 - 4m^3n^3+ 5m^2n^4 + 9m^2n^4 + 8mn^5 + n^6[/tex]
[tex]-6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
So:
[tex]8mn^5 - 2m^6 + 5m^2n^4 - m^3n^3 + n^6 - 4m^6 + 9m^2n^4 - mn^5 - 4m^3n^3 = -6m^6 - mn^5 - 5m^3n^3 + 14m^2n^4 + 8mn^5 + n^6[/tex]
Which function is shown in the graph below?
PLEASE HELP ME!!! WHOEVER HELPS ME AND GETS IT RIGHT WILL GET BRAINIEST!!!
Answer: it would be D
Step-by-step explanation: because the x intercept is zero and the equation solved is 6
Bonus Question:
a. Consider the function f(x) = ax^2 + c
Find f'(x)
b. Point A (-2, 5) lies on the graph of y = f(x).
The gradient of the tangent to this graph at A is -6. Find the value of a.
c. Find the value of c.
Please answer this question and please show your work too. Anyone who is able to do this correctly will receive 50 points from me. (This assignment is about Derivatives)
Answer:
I'm not sure what to do not doing this in skl
I need help with this asap!!!!
Answer:
26.6 but that is not one of yor answers...
I think you have a typo in "A"
I think that your have a typo in the answers
x/sin(40) = 32/sin(90)
x = 26.6
Step-by-step explanation:
Find the area of the equilateral triangle below. Round to 1 point
the nearest tenth.
Answer:
25√3mm
Step-by-step explanation:
this might be the answer..
Answer:
[tex]25\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{10^2*\sqrt{3} }{4}[/tex]
Find the midpoint of the line segment with these endpoints: (-4,3), (-1,5)
In which quadrant is the midpoint?
Answer:
(-5/2, 4)
Second quadrant
Step-by-step explanation:
Mathematically, we can calculate the midpoint using the formula;
(x,y) = (x1 + x2)/2, (y1 + y2/2
We have;
(x,y) = (-4-1)/2, (3+5)/2
(x,y) = (-5/2, 4)
to get the quadrant, as we can see, this is negative x and positive y and that makes it the 2nd quadrant
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
Which points are solutions to the system of inequalities shown below?
Check all that apply.
ys X+4
y>x
Xs6
D A. (7,9)
OB. (3,8)
C. (4,5)
OD. (5,9)
O E. (2,2)
F. (6,8)
Answer
It is (7,9) (5,9) and (6,8)
Step-by-step explanation:
can i get help lost on this one
[tex]\cfrac{\frac{a}{b}}{\frac{c}{ d}}\implies \cfrac{a}{b}\cdot \cfrac{ d}{c} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~\frac{3x^2-3}{x^2+3x}~~}{\frac{x+1}{x(x+3)}}\implies \cfrac{3x^2-3}{x^2+3x}\cdot \cfrac{x(x+3)}{x+1}\implies \stackrel{\textit{common factoring}}{\cfrac{3(x^2-1)}{~~\begin{matrix}x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{~~\begin{matrix} x (x+3) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{x+1}[/tex]
[tex]\textit{keeping in mind that}\qquad x^2-1\implies x^2-1^2\implies (x-1)(x+1) \\\\\\ \cfrac{\stackrel{~~\textit{difference of squares}}{3(x^2-1^2)~\hfill }}{x+1}\implies \cfrac{3(x-1)~~\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{\begin{matrix} (x+1) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}}\implies 3(x-1)[/tex]
Which products result in a perfect square trinomial? Select three options.
Answer:
(- x + 9)(- x - 9)
(x y + x)(x y + x)
(2 x - 3)(- 3 + 2 x)
(16 - x squared)(x squared - 16)
(4 y squared + 25)(25 + 4 y squared)
Step-by-step explanation:
I need help ASAP √34x√y=34
What’s the answer !?
Answer:
y:3 4
Step-by-step explanation:
[tex]\sqrt{34} x \sqrt{y} :34\\\sqrt{34y}:34\\34y:1156\\[/tex]
[tex]y:34\\\sqrt{34} \sqrt{34}:34\\ 34:34\\y:34[/tex]
Given:
WXYZ is a rhombus.
If 5 = 20°, then 1 =
20
40
70
Answer:
20
Step-by-step explanation:
alternate angles of two parallel lines WX and ZY
Answer:
20!
Step-by-step explanation:
what is the answer for x⁵÷x⁸
answer:
the answer is 40 because any expression divides itself is equals to 1
Step-by-step explanation:
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{x^3}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\x^5\div x^8\\---------\\\rightarrow \text{Rewrite as:} \frac{x^5}{x^8}\\\\\rightarrow \text{Recall the exponent rule: } \frac{x^a}{x^b}=x^{a-b}\\\\\rightarrow \frac{x^5}{x^8} = x^{-3}\\\\\rightarrow \text{Recall the exponent rule: }x^{-b}=\frac{1}{x^b}\\\\\rightarrow x^{-3}\\\\\rightarrow \boxed{\frac{1}{x^3}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
What is the measure of ZR?
8
8
P
R.
A. 32°
B. 40°
O
C. Cannot be determined
D. 64°
Answer:
option A
Step-by-step explanation:
since the two sides of the triangle are equal the given triangle is an isosceles triangle.
Base angles of an isosceles triangle are equal.
angle P = angle R
32 degree = angle R
The measure of <QRP = 32 degree.
What is an Isosceles Triangle?An isosceles triangle is one with two sides that are the same size and a third side that is a different size.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, the angles across from those sides are likewise congruent.
We have,
A triangle whose two sides are 8 unit each and an angle 32.
As, we know a triangle whose two sides are equal is said to be isosceles triangle.
So, the given triangle is isosceles.
Now, angle opposite to equal sides are also equal.
so, <QPR = <QRP = 32 degree
Learn more about isosceles triangle here:
https://brainly.com/question/2456591
#SPJ7
which of the expressions are equivalent to the one below? check all that apply.
5 x (8+3)
A. 55
B. 5 x 24
C. 43
D. 5 x 8 + 5 x 3
Step-by-step explanation:
Hola supiste algo bro o no
Worth 10 pts
Plssssssssssssssssss help
Will give brainliest
Answer: [tex]2\sqrt{2}+\sqrt{3}\\\\[/tex]
a = 2 and b = 1
=======================================================
Explanation:
Set the expression equal to the given form we want. Then square both sides so we get rid of the outer-most square root
[tex]\sqrt{11+4\sqrt{6}} = a\sqrt{2}+b\sqrt{3}\\\\\left(\sqrt{11+4\sqrt{6}}\right)^2 = \left(a\sqrt{2}+b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = \left(a\sqrt{2}\right)^2+2*a\sqrt{2}*b\sqrt{3}+\left(b\sqrt{3}\right)^2\\\\11+4\sqrt{6} = 2a^2+2ab\sqrt{2*3}+3b^2\\\\11+4\sqrt{6} = 2a^2+3b^2+2ab\sqrt{6}\\\\[/tex]
In the third line, I used the rule that (x+y)^2 = x^2+2xy+y^2
-------------------
At this point, we equate the non-radical and radical terms to get this system of equations
[tex]\begin{cases}11 = 2a^2+3b^2\\ 4\sqrt{6} = 2ab\sqrt{6}\end{cases}[/tex]
The second equation turns into 4 = 2ab when we divide both sides by sqrt(6)
Then 4 = 2ab turns into ab = 2 after dividing both sides by 2.
We're told that a,b are rational numbers. Let's assume that they are integers (which is a subset of the rational numbers).
If so, then we have these four possibilities
a = 2, b = 1a = -2, b = -1a = 1, b = 2a = -1, b = -2If a,b are negative, then you'll find that [tex]a\sqrt{2}+b\sqrt{3}[/tex] overall is negative. But this contradicts that [tex]\sqrt{11+4\sqrt{6}}[/tex] is positive. So a,b must be positive.
Let's assume that a = 1 and b = 2. If so, then,
2a^2+3b^2 = 2(1)^2+3(2)^2 = 14
but we want that result to be 11 instead.
Let's try a = 2 and b = 1
2a^2+3b^2 = 2(2)^2+3(1)^2 = 11
which works out perfectly.
Therefore,
[tex]\sqrt{11+4\sqrt{6}} = 2\sqrt{2}+\sqrt{3}\\\\[/tex]
---------------------------------
Checking the answer:
Use a calculator to find that
[tex]\sqrt{11+4\sqrt{6}} \approx 4.5604779\\\\2\sqrt{2}+\sqrt{3} \approx 4.5604779\\\\[/tex]
both have the same decimal approximation, so this is a fairly informal way to confirm the answer.
Another thing you can do is to take advantage of the idea that if x = y, then x-y = 0
So if you want to see if two things are equal, you subtract them. You should get exactly 0 or something very small (pretty much equal to 0).
Which equation represents a line with a slope of -2? PLEASE ITS ERGENT BARBS
Answer:
C i think
Step-by-step explanation:
because c has y=x-2.
Decrease £15890.23 by 16.5%
Give your answer rounded to 2 DP
Answer:
£13,268.35 (sorry if this is incorrect :P)
Step-by-step explanation:
16.5% = 0.165
15890.23 x 0.165 ≈ 2621.88
15890.23 - 2621.88 = 13,268.35
The value of a car has decreases by 5% each year. Sophie bought a car two years ago for £10000 work out the value now .
Answer:
£9000
Step-by-step explanation:
= £10 000× 5 ×2
100
= 1000
= £10 000-1000
= £9000
Mrs. Ramirez's income increased 140% last year. To model this percent, use ____________
A.grid #1 only
B.grid #2 only
C.grids #1 and #2 only
D.grids #1 and #3 only
Answer: grid #1 and grid #3
Step-by-step explanation:
grid 3 is 100% out of 100% making one whole and grid 1 has 40 out of 100 squares filled. 100 + 40 = 140/140%
john bought a new game system for $529 how much is he in debt
Answer:
Depending on how much he had before he bought the game system.