Answer:
-4
Step-by-step explanation:
y=2-9×(2/3)=2-6= -4
I’m so confused by this:( Could someone please explain how to do this thoroughly?
Answer:
A. Complementary and Adjacent
B. ∠KLM = 22° and ∠MLN = 68°
Step-by-step explanation:
Question A
As ∠KLN is a right angle, ∠KLN = 90°
⇒ ∠KLM + ∠MLN = 90°
When the sum of two angles is 90°, they are called complementary angles.
∠KLM and ∠MLN have a common side of ML and a common vertex (corner point) L.
When two angles have a common side and a common vertex but do not overlap in any way, the are called adjacent angles.
Question B
First find n:
∠KLM + ∠MLN = ∠KLN
⇒ 2n + (6n + 2) = 90
⇒ 2n + 6n + 2 = 90
Combine like terms:
⇒ 8n + 2 = 90
Subtract 2 from both sides:
⇒ 8n = 88
Divide both sides by 8:
⇒ n = 11
Now substitute the found value of n into the expressions for the two angles:
⇒ ∠KLM = 2(11) = 22°
⇒ ∠MLN = 6(11) + 2 = 68°
Please help me ASAP I’ll mark brainly
Answer: 7
Step-by-step explanation:
PLEASE HELP ILL GIVE FIVE STARS AND MARK BRAINLIEST
Ray is x years old. His brother Ron is y years older than Ray.
How old was Ray 3 years ago?
Ray is [tex]x[/tex] years old.
Ron is [tex]y[/tex] years old.
In 2 years, Ron will be two years older than now, so [tex]x+y+2[/tex] years old.
Sam paid a total of $750 for 10 tickets to a football game. The money is taken from his bank account.
Which expression represents the dollar amount that was taken from Sam's bank account.
Answer:$740
Step-by-step explanation: subtract 750 - 10 and there’s your answer look where it says “The money is taken from his bank account” that’s how you know you should subtract by the word take. Hope this helps
HURRY PLS WILL MARK BRAINLIEST, Find an equation in slope intercept form of the line that has two slope and passes through points A [9, -2 ]
Answer:
D
Step-by-step explanation:
sub in the x value and if its equal to -2 its on that line
Find the value of x.
45°
96°
Answer:
39
Step-by-step explanation:
all angles of a triangle equal to 180, so you just have to subtract those two known angles from 180, and you will get the answer.
Find the value of angle x .
Given : -First angle = 45°Second angle = 96°Third angle = x°To Find : -We have to find the value of x .Concept : -The concept of this question belongs to angles of triangle . We know that the sum of all the three angles of triangle is 180°.
So let's get started : -As we know that all the angles of triangle is equal to 180° . So :
1st angle + 2nd Angle + 3rd Angle = 180°45° + 96° + x° = 180°141° + x° = 180°x° = 180° - 141°x° = 39°Therefore , angle x is of 39° .
Verifying : -45° + 96° + 39° = 180°141° + 39° = 180°180° = 180°L.H.S = R.H.SHence, Verified .Thus, our answer is valid .#[tex] \sf \bold{Keep \: Learning}[/tex]Order of Operations
40 + (1 + 2) - 2
3[16 - (2 + 5)]^2
100-50/100-3(2+3)^2
Answer:
41, 243, 2
Step-by-step explanation:
40 + (1 + 2) - 2
=41
3[16 - (2 + 5)]^2
=243
100-50/100-3(2+3)^2
=2
A colony of 100 bacteria doubles in size every 60 hours what will the population be 180 hours from now
Answer:
20 hours thank you very muchWhich shapes show equivalent fractions?
A.shapes A and B
B.shapes A and C
C.shapes B and C
D.shapes C and D
Tory is going to the fair with four of her friends. The entrance fee per person is $7.50. They plan to go together on all the rides. The cost of each ride is $3.00. Write an expression to represent the cost of the group to go to the fair for any number of rides.
Answer:
$37.5+$3r
Step-by-step explanation:
We can assume that the number of rides is r. Since each ride is $3.00, all rides are $3r ($3xr).
We also know that there are FIVE people going to the fair, with Tory being one and each of her friends. Since the entrance fee is 7.50, we can do 7.50x5 which is $37.5.
Then, you can add it which is $37.5+$3r
Which fractions are equivalent to 5/8?
Select each correct answer.
20/32
25/64
10/16
50/80
10/13
Help Me on this!!
[tex] \: \: \: [/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Here's the solution~
Standard equation of a circle is represented as :
[tex]\qquad \sf \dashrightarrow \:(x - h) {}^{2} + (y - k) {}^{2} = r {}^{2} [/tex]
where,
h = x - coordinate of center k = y - coordinate of centerradius = diameter/2 = [tex]4\sqrt{3}[/tex]Now, let's plug in the values to find the required equation of circle ~
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y - ( - 10)) {}^{2} = (4\sqrt{3} ) {}^{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 16 \times 3[/tex]
[tex]\qquad \sf \dashrightarrow \:(x - 8) {}^{2} + (y + 10) {}^{2} = 48[/tex]
The equation of given circle with centre C ( 8 , - 10 ) and diameter ( 8√3 ) is x² + y² - 16x + 20y + 116 = 0
[tex]\quad\rule{300pt}{1pt}\quad [/tex]
Solution:The standard equation of Circle is given by :
[tex] {\pmb{\sf {\longrightarrow r^2 = (x-h)^2 +( y-k)^2}} }[/tex]
This is the standard form of the equation. Thus if we know the coordinates of center of the circle and it's radius, we can easily find its equation
Here, in this question we are given that the centre C is ( 8 , -10 ) and diameter 8√3.
[tex] \longrightarrow[/tex]h = 8
[tex] \longrightarrow[/tex] k = - 10
[tex] \longrightarrow[/tex] r = [tex] \sf{\dfrac{diameter}{2}}[/tex]
[tex] \longrightarrow[/tex] r = [tex] \sf 4\sqrt{3}[/tex]
[tex] \qquad\qquad\rule{250pt}{1pt}\qquad[/tex]
On putting the values in the formula :
[tex] \sf{:\implies \qquad r^2 = (x-h)^2+ ( y-k)^2 }[/tex]
[tex] \sf{:\implies \qquad (4\sqrt{3})^2 = ( x-8)^2 +(y-(-10))^2 }[/tex]
[tex] \sf{:\implies \qquad (4)^2.(\sqrt{3})^2=(x-8)^2+(y+10)^2}[/tex]
[tex] \sf{:\implies \qquad 16\times 3 =( x^2 + 8^2 -2\times x \times 8 ) + ( y^2 + 10^2 + 2\times y \times 10 )}[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 - 16x + y^2 + 100 + 20y }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 + y^2 -16 x + 20y + 100 + 64 }[/tex]
[tex] \sf{:\implies \qquad 48 = x^2 +y^2 -16x +20y +164}[/tex]
[tex] \sf{:\implies \qquad x^2 + y^2 -16x +20y +164 - 48 = 0}[/tex]
[tex] \sf{:\implies \qquad{\boxed{ \sf x^2 + y^2 -16x + 20y +116 = 0 }}}[/tex]
ㅤㅤㅤㅤ~Hence, the required equation of Circle is x² + y² - 10x + 20y + 116 = 0
What is the range of the polynomial y = 3x3 - 3x2 - 3x + 8 in interval notation?
Answer:
(-∞,∞)
Step-by-step explanation:
Four identical circles are lined up in a row with no
gaps between them such that the diameters for a
segment that is 68 centimeters long. What is the
combined area of all the circles to the nearest
hundredth? Use 3.14 for Pi
Answer: 907.46
Step-by-step explanation:
Since the sample size is always smaller than the size of the population, the sample mean a. must be larger than the population mean b. can be smaller, larger, or equal to the population mean c. must be equal to the population mean d. must always be smaller than the population mean
Using the mean concept, it is found that the correct option regarding the sample mean is given by:
b. can be smaller, larger, or equal to the population mean.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
No matter the population mean, the sample mean is calculated as stated above, having no restrictions about it's value, hence option b is correct.
More can be learned about the mean concept at https://brainly.com/question/24628525
#SPJ1
Simplify the expression.
Answer:
the answer is
[tex] \frac{12 {c}^{8} }{ {d}^{2} } [/tex]
Step-by-step explanation:
[tex] \frac{12}{ {c}^{ - 8} {d}^{2} } [/tex]
I dont know how to answer this
Answer:
sorry the image isnt clear
Answer:
Can you post it again but clearer
Evaluate [tex]\frac{1}{2^{-2}x^{-3}y^{5} }[/tex] for x=2 and y=-4.
A)-16
b)-4
c)[tex]-\frac{1}{32}[/tex]
d)16
Answer:
[tex]\bf C)\: -\cfrac{1}{32}[/tex]
Step-by-step explanation:
[tex]\tt \cfrac{1}{2^{-2}x^{-3}y^5}[/tex]
[tex]\tt x=2\\y=-4[/tex]
~
Substitute ''x'' with '2' & 'y' with "-4":-
[tex]\tt \cfrac{1}{2^{-2}\times \:2^{-3}\left(-4\right)^5}[/tex]
First let's solve [tex]\tt 2^{-2}\times \:\:2^{-3}\left(-4\right)^5[/tex]
[tex]\tt 2^{-2}\times \:2^{-3}=\boxed{\cfrac{1}{32} }[/tex]
[tex]\tt \cfrac{1}{32}\left(-4\right)^5[/tex]
Calculate exponents:- -4^5= -1024
[tex]\tt \cfrac{1}{32}\left(-1024\right)[/tex]
Remove parentheses, apply rule:- [tex]\tt a\left(-b\right)=-ab[/tex]
[tex]\tt-\frac{1}{32}\times \:1024[/tex]
[tex]\tt \cfrac{1}{32}\times \cfrac{1024}{1}[/tex]
Apply fraction rule:-
[tex]\tt -\cfrac{1\times \:1024}{32\times \:1}[/tex]
[tex]\tt \cfrac{1024}{32}[/tex]
Divide numbers:-
[tex]\tt -32[/tex]
Now that we're done factoring the denominator let's bring down the numerator which is ' 1 ':-
[tex]\tt -\cfrac{1}{32}\;\; \bf Answer[/tex]
☆-------☆-------☆-------☆
[tex]\dfrac 1{2^{-2}\cdot x^{-3}\cdot y^5}\\\\=\dfrac 1{2^{-2} \cdot2^{-3} \cdot (-4)^5}\\\\=-\dfrac 1{2^{-2} \cdot 2^{-3} \cdot (2^2)^5}\\\\=-\dfrac{1}{2^{-2} \cdot 2^{-3} \cdot 2^{10}}\\\\=-\dfrac{1}{2^{-2-3+10}}\\\\=-\dfrac 1{2^{5}}\\\\=-\dfrac 1{32}[/tex]
convert radians to degrees
Answer:
135 degrees
Step-by-step explanation:
The image shows how i had my answer please
i need help with this
Answer:
Step-by-step explanation:
Circumference is given by the formulas :
[tex]2\pi r[/tex] or [tex]\pi d[/tex]
Since we are given the diameter we can use the second one :
We are told to use 3.14 for π :
C = (3.14)×(16)
C = 50.24
Area of a circle is given by the formula:
[tex]\pi r^{2}[/tex]
To work out r we simply half the diamter:
16÷2 = 8
Now we put this into the area formula:
π(8)² = 64π
We are told to use 3.14 as pi so:
64π = 64×3.14 = 200.96
Answer:
Circumference = 50.24 in
Area = 200.96 in²
Step-by-step explanation:
First, let us find the circumference of the circle.
For that, let us use this formula.
C = π d
Given that,
d ⇒ diameter ⇒ 16 in
Let us find now.
C = π d
C = 3.14 × 16
C = 50.24 in
And now let us find the area of the circle.
Before that, let us find the radius.
d = 2r
16 = 2r
Divide both sides by 2.
8 in ⇒ radius
Let us use the below formula to find the area of the circle.
A = π r²
A = 3.14 × 8 × 8
A = 200.96 in²
Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}
{11, 17, 27}
============================================================
Explanation:
Let's go through the answer choices.
A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side
11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.
The average gas mileage (mpg) for vehicles produced by a particular automotive company is 26 mpg, with a standard deviation of 2 mpg. What percentage of the vehicles produced by the automotive company have a gas mileage greater than 24?
Note: Assume that a Normal model is appropriate for the distribution of the gas mileages for the vehicles.
Answer:
above 84°/. of the vehicles have a gas mileage greater then 24 mpg
What is the sum of the infinite geometric series? −5+2−4/5+8/25−16/125...
Answer:
-25/7
Step-by-step explanation:
The sum of an infinite series with first term 'a' and common ratio 'r' is ...
S = a/(1 -r)
Your series has a=-5 and r=-2/5, so the sum is ...
S = (-5)/(1 -(-2/5)) = -5/(7/5) = -25/7
The sum of the series is -25/7.
PLEASE RESPOND FAST FOR BRAINLIEST.
Data Set 1 has a mean of 173.5 and a MAD of 3.9.
Data Set 2 has a mean of 161.2 and a MAD of 4.1.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 3.
The distributions are different.
The means-to-MAD ratio is 4.
The distributions are somewhat similar.
Answer:
Option D, The distributions are somewhat similar
Step-by-step explanation:
Step 1: Determine the means-to-MAD ratio
Data Set 1 → Mean = 173.5, MAD = 3.9
Data Set 2 → Mean = 161.2, MAD = 4.1
[tex]Ratio = \frac{Mean\ of\ 2 - Mean\ of\ 1}{MAD\ of\ 2 - MAD\ of\ 1}[/tex]
[tex]Ratio = \frac{161.2 - 173.5}{4.1 - 3.9}[/tex]
[tex]Ratio = \frac{-12.3|}{0.2}[/tex]
[tex]Ratio = -61.5[/tex]
Step 2: Determine if the distributions are similar or not
Since the MAD of set 2 is somewhat similar to MAD of set 1, the distributions are somewhat similar.
Answer: Option D, The distributions are somewhat similar
66 is 8-% of what number?
4
Would appreciate some help
Answer:
e) 36x² - 32y³ = (4)(9x² - 8y³)
f) 45a⁴ - 54a³ = (9a³)(5a - 6)
Step-by-step explanation:
e) 36x² - 32y³ = (4)(9x² - 8y³) becuase 4*9 = 36 and 4*8 = 32
f) 45a⁴ - 54a³ = (9a³)(5a - 6) becuase 9*5 = 45 and 9*6 = 54 and when a is multiplied by a³ you get a⁴
(the exponent are added)
PLEASE RATE!! I hope this helps!!
If you have any questions comment below
Solve the linear differential equation 2xy' + y = 2√x
Answer:
Step-by-step explanation:
General form of the linear differential equation can be written as:
[tex]\frac{dy}{dx}+P(x)y=Q(x)[/tex]
For this case, we can rewrite the equation as:
[tex]\frac{dy}{dx}+\frac{1}{2x}y=\frac{\sqrt{x}}{x}[/tex]
Here [tex]P(x) =\frac{1}{2x}; Q(x)=\frac{\sqrt{x}}{x}[/tex]
To find the solution (y(x)), we can use the integration factor method:
[tex]Fy(x)=\int Q(x)Fdx+C \rightarrow F=e^{\int P(x)dx[/tex]
Then [tex]F=e^{\int \frac{1}{2x}dx}=e^{\frac{1}{2}\ln|x|\right}=\sqrt{|x|}[/tex]
So, we can find:
[tex]y\sqrt{|x|}=\int \frac{\sqrt{x}\sqrt{|x|}}{x}dx+C[/tex]
Suppose that [tex]x\in \double R[/tex], then [tex]\sqrt{|x|}=\sqrt{x}[/tex] , and we find:
[tex]y\sqrt{x}=x+C \rightarrow y(x)=\sqrt{x}+\frac{C\sqrt{x}}{x}[/tex]
To check our solution is right or not, put your y(x) back to the ODE:
[tex]y' = \frac{1}{2\sqrt{x}}-\frac{C}{2\sqrt{x^{3}}}[/tex]
[tex]2xy'=\frac{x-C}{\sqrt{x}}[/tex]
[tex]2xy'+y=\frac{x-C}{\sqrt{x}}+\sqrt{x}+\frac{C\sqrt{x}}{x}=2\sqrt{x}[/tex]
(it means your solution is right)
The dimensions of a hexagon shaped bedroom are apothem = 5 and side length = 11. Find the area of the bedroom on the floor plan.
Answer:
165
Step-by-step explanation:
area of a hexagon = 1/2 × apothem × perimeter
to find the perimeter of a hexagon we simply multiply the side length by 6 ( because there are 6 sides in a hexagon )
given side length = 11
so perimeter = 6 × 11 = 66
now to find area
remember area = 1/2 × apothem × perimeter
given apothem = 5 and perimeter = 66
so area = 1/2 × 5 × 66
1/2 × 5 = 2.5
2.5 × 66 = 165
Can you do number 1 for me
Answer:
c. 3/5
Step-by-step explanation:
Determine an exact value for sin _
3π/4-tan 5π/6
Answer:
[tex]\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex] or [tex]\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}[/tex]
Step-by-step explanation:
[tex]\sin\frac{3\pi}{4}-\tan\frac{5\pi}{6}\\\\\sin\frac{3\pi}{4}-\frac{\sin\frac{5\pi}{6}}{\cos\frac{5\pi}{6}}\\ \\\frac{\sqrt{2}}{2}-\frac{\frac{1}{2} }{-\frac{\sqrt{3}}{2}}\\ \\\frac{\sqrt{2}}{2}+\frac{1}{\sqrt{3}}\\ \\\frac{\sqrt{2}}{2}+\frac{\sqrt{3}}{3}\\ \\\frac{3\sqrt{2}}{6}+\frac{2\sqrt{3}}{6}\\ \\\frac{3\sqrt{2}+2\sqrt{3}}{6}[/tex]