Answer:
See belowStep-by-step explanation:
Angle opposite to 6 is complementary of α:
90 - αSimilarly, angle opposite to side 4 of the triangle in the right side is:
90 - βSum of the interior angles of the triangle on the bottom:
90 - α + 90 - β + γ = 180γ = α + βtan γ = tan (α + β)From the smaller triangles we get:
tan α = 4/6 = 2/3tan β = 3/4Use the identity below and find the value of tan γ:
tan (α + β) = (tan α + tan β)/(1 - tan α tan β)tan γ = tan (α + β) = (2/3 + 3/4) / (1 - 2/3*3/4) =(17/12) / (1/2) = 17/6 = 2 5/6Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can represent the equation? y 1 = StartFraction log (x 3) Over log 4 EndFraction, y 2 = StartFraction log (2 x) Over log 2 EndFraction y 1 = StartFraction log x 3 Over log 4 EndFraction, y 2 = StartFraction log 2 x Over log 2 EndFraction y 1 = StartFraction log 4 Over log 2 EndFraction, y 2 = StartFraction log (x 3) Over log (2 x) EndFraction y 1 = StartFraction log x 3 Over 4 EndFraction, y 2 = StartFraction log 2 x Over 2 EndFraction.
Equivalent equations are equations of equal values
The system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
The logarithmic equation is given as:
[tex]\log_4(x^3) = \log_2(2x)[/tex]
Split the above equation as follows:
[tex]y = \log_4(x^3)[/tex]
[tex]y= \log_2(2x)[/tex]
Rewrite [tex]y = \log_4(x^3)[/tex] as:
[tex]y=3\log_4(x)[/tex]
Hence, the system of equations from the given equation are:
[tex]y= \log_2(2x)[/tex] and [tex]y=3\log_4(x)[/tex]
Read more about systems of equations at:
https://brainly.com/question/14265399
Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)
Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
Six percent of computer chips produced by Cheapo Chips are defective. Each month a random sample of 200 chips manufactured that month are taken. Let X = the number of defective chips in the sample. What are the mean and standard deviation of X?
Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The mean of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In this problem:
Six percent of computer chips produced by Cheapo Chips are defective, hence [tex]p = 0.06[/tex].Each month a random sample of 200 chips manufactured that month are taken, hence [tex]n = 200[/tex]Then:
[tex]E(X) = np = 200(0.06) = 12[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1 - p)} = \sqrt{200(0.06)(0.94)} = 3.36[/tex]
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at https://brainly.com/question/12473640
A roller coaster can acommodate 150 people in 10 minutes How many people could ride the rolloer coaster in 25 minutes?
Answer:
375
Step-by-step explanation:
150 x 2= 300 -Thats for the 20 minutes
And 150 divided by 2 = 75= Thats for the addtional 5 minutes
2
Question 7(Multiple Choice Worth 1 points)
(04.04LC)
Point P on the coordinate grid below shows the location of a stage light. A second stage light is 6 units above P. The length of each square on the grid is
2 units. What are the coordinates of the location of the second stage light?
2
16-14-12-1046
012101
O (8.-10)
O (8,2)
(14,2)
(14.-10)
Answer:
Add 8 to the y value of point p, (4, -2 +8)So the location of the second light is on point (4,6)
what is the equation
Answer:
y = -2x+9
Step-by-step explanation:
To figure out equations of tile patterns simply count the initial value and the rate of change, then convert it into (slope intercept form) which is
y = mx+b
In this case the rate of change is -2x because each figure loses 2 blocks as it goes.
You can also see the the initial figure 1 has 9 blocks so this is our constant
With this information we can create the equation y = -2x+9
m = -2
x = x
b = 9
If more aid is needed a simple search of (Visual Pattern - Writing an Equation and Creating a Table) will help you with a video easily.
what’s the slope of y=x+5
Answer
if there´s any answer choice, the answer is 1
Step-by-step explanation:
HELP! I need answers to every question!
Answer:
We can treat i as if it was a variable/symbol, with the caveat that
i * i = -1
[6]
(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i
[7]
-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i
[8]
2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i
[9]
(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i
Answer:
6.) 1 - 19i
7 ) -8 - 10i
8.) -6 + 8i
9.) 57 + 9i
not sure if its the right answer
what is the slope of the line through (0, 1) and (-1, -3)
Answer:
A. 4
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Reading a coordinate planeCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-4}{-1}[/tex]Simplify: [tex]\displaystyle m = 4[/tex]Answer:
The answer is A. 4
Step-by-step explanation:
Step 1: DefineIdentify points.
Point (0, 1)
Point (-1, -3)
Step 2: Find slope mSimply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]:[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]
[Order of Operations] Evaluate:[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]
Simplify: [tex]\displaystyle m = 4m=4[/tex]14. Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 4x + 1
Answer:
The answer should be y= -4x + 20.
What is the sum of 15/6
Answer: b because i did the eqaution on paper
Step-by-step explanation:
༒Question༒
Refer to attachment
nonsense answer will get report
Answer:
Bro if you need help then tell me in comments sectionI need helppp help meeeeeeee
1) [tex]\frac{11-13}{4-7}= \frac{2}{3}[/tex]
2) [tex]\frac{-2-7}{-10-(-7)}=\frac{-9}{-3} =3[/tex]
3) [tex]\frac{9-3}{-11-(-14)} =\frac{6}{3}=2[/tex]
4) [tex]\frac{8-4}{11-(-9)} =\frac{4}{20}= \frac{1}{5}[/tex]
ok done. Thank to me :>
can someone help me answer this
[tex]8 = \dfrac{3+2x}{4+x}\\\\\implies 8(4+x) = \dfrac{3+2x}{4+x} \cdot (4+x)\\\\\implies 8\cdot (4+x) = 3+2x\\\\\text{Hence the answer is A.}[/tex]
Answer:
A
Step-by-step explanation:
8=3+2x/4+x
8/1= 3+2x/4+x then crisscross both sides without multiplying
8×(4+x)=3+2x
I hope it helped
If and , find .
A.
B.
C.
D.
Answer: GOONNA BE BE SIRRRRR BTW I HAVE IPHONE 21345678
Step-by-step explanation:
Please plot the resulting points.
Answer:
See explanation
Step-by-step explanation:
When you reflect across the y axis the numbers stay the same but the x coordinates become negative.
So the new coordinates are:
F(-4, 6)
G (-9, 6)
H (-7, 1)
I (-4, 0)
J (-1, 3)
Giving brainiest pls help
Answer:
Ivan: 4
Caleb: 4, 4, 4, 4, 4, 4, 4
Step-by-step explanation:
For every 4 Ivan sees, Caleb sees 28. (4 times 7)
Find the missing factor
Answer:
[tex](x^4y^5)(x^2y^4)[/tex]
Step-by-step explanation:
Keep these things in mind:
[tex]x^3\times x^3=x^{3+3}=x^6\\\\(x^3)^3=x^{3\times3}=x^9[/tex]
Using those, simplify the left side of this equation:
[tex](x^2y^3)^3\\x^6y^9[/tex]
Now we know what the exponents need to become, so we can find the difference between those and what we have on the right:
[tex]6-4=2\\9-5=4[/tex]
We need to add a 2 to the x, and add a 4 to the y.
[tex](x^4y^5)(x^2y^4)[/tex]
I need to find the missing angles
f(1)=−3
f(n)=2⋅f(n−1)+1
f(2)=?
HELP PLease
Write your answer as a fraction in lowest terms
Answer:
cos B = 9/41
Step-by-step explanation:
cos is adjacent over hypotenuse. SOH(CAH)TOA
what is the equation, in point-slope form, for a line that gies through (8, -4) and has a slope of -5/6?
Answer:
y+4=-5/6(x-8)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=-5/6(x-8)
y+4=-5/6(x-8)
Please mark me as Brainliest if you're satisfied with the answer.
Need help please please i need help thanks
Answer:
1) 6 balls
Step-by-step explanation:
x = number of balls Elsa can shoot
x + 6 = number of balls Anna can shoot
18 = number of balls together they can shoot
x + (x + 6) = 18
x + x + 6 = 18
2x + 6 = 18
2x = 18 - 6
2x = 12
x = 6
2)2) 20x (3÷ 4)=90 120-90=30 thus left seat has 30 seating capacity.
3)Let x & y be packets of [a] type & [b] type detergent sold
Then 9x +7y =180
Let us say x=7
Then 9*7+7y =180
7y =180–63 = 117
y =117/7=19.2 this will not do as it contains decimal not whole number
Say x=6
Then 9*6 +7y =180
7y=180–54 =126
y =126/7 =18 this is acceptable as it is whole number
Answer: 6 packets of (a) and 18 packets of type (b) were sold to get 180Php
4) 5,6,7 female piglets
5)1kg. of rice is Php. 90.00 . Mang Tommy pays Php.360.00 for 4kg. of rice.
4kg of rice - Php. 360.00
3kg of pork- Php. 390.00
1kg of rice is Php. 90.00
1kg of pork is Php. 130.00
Refer to attachment for solution ~
Sorry for late, I didn't have time for it !
HELPPPPP PLEASE ACTUALLY GIVE ME THE ANSWER AND NOT JUST A link PLSSS ITS DUE IN 23 MINUTESSS!!!!!!!!!!!! HELP
Answer:
4 1/9
Step-by-step explanation:
Well we can infer that the whole number will be 4. And 0.111 repeating is 1/9 as a fraction.
i need help please!!!!
Answer:
not parallel.
Step-by-step explanation:
1) to perform the requirement, it is ehough to compare the slope AB and the slope CD (the coordinates are A(2;7); B(1;3); C(7;5); D(6;2));
2) slope of AB: (7-3)/(2-1)=4;
3) slope of CD: (5-2)/(7-6)=3;
4) finally, AB∦CD (4≠3).
The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
10a + 4 =
........................................
Divide. Write the answer in simplest form. 14/27÷7=
Answer:
[tex]\frac{2}{27}[/tex]
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
Answer:
2/27
Step-by-step explanation:
14/27÷7
Convert The element to fraction: 7=7/1
=14/27 ÷ 7/1
Apply the fraction rule:
=14/27 x 1/7
Cross- cancel common factor: 7
2/27
pls help i really need help STOP SENDING ME LINK
Answer:
0
Step-by-step explanation:
because your making it all to the zero power which equals zero
Answer:
0
Step-by-step explanation:
We will use the rule of order of operations
15 + 4 = 19
20 + 5 = 25
19 squared = 361
3 x 361 = 1083
25 squared = 625
625 x 2 = 1250
New equation =
1083 + 1250
=
2333
But you multiply by 0 so it equals 0
(-3, 5), (-4, 5) what is the slope
Answer:
0
Step-by-step explanation:
(5-5)/(-4+3) = 0/-1 = 0