can someone help me with this please and explain what a term is
Answer:
3y
Step-by-step explanation:
A term is a mathematical expression, in this case a number multiplied by a variable.
Like terms would mean anything that is equal to 3x.
Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.
y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y
[Sin A + Sin 3A + Sin 5A + Sin 7A]÷
[Cos A + Cos 3A + Cos 5A + Cos 7A]
=Tan 4A
Do the following rewrites:
sin(x) = sin(4x - 3x) = sin(4x) cos(3x) - cos(4x) sin(3x)
sin(7x) = sin(4x + 3x) = sin(4x) cos(3x) + cos(4x) sin(3x)
sin(3x) = sin(4x - x) = sin(4x) cos(x) - cos(4x) sin(x)
sin(5x) = sin(4x + x) = sin(4x) cos(x) + cos(4x) sin(x)
cos(x) = cos(4x - 3x) = cos(4x) cos(3x) + sin(4x) sin(3x)
cos(7x) = cos(4x + 3x) = cos(4x) cos(3x) - sin(4x) sin(3x)
cos(3x) = cos(4x - x) = cos(4x) cos(x) + sin(4x) sin(x)
cos(5x) = cos(4x + x) = cos(4x) cos(x) - sin(4x) sin(x)
So in the numerator, we have
sin(x) + sin(3x) + sin(5x) + sin(7x)
= 2 sin(4x) cos(3x) + 2 sin(4x) cos(x)
= 2 sin(4x) (cos(3x) + cos(x))
In the denominator,
cos(x) + cos(3x) + cos(5x) + cos(7x)
= 2 cos(4x) cos(3x) + 2 cos(4x) cos(x)
= 2 cos(4x) (cos(3x) + cos(x))
So we have
(sin(x) + sin(3x) + sin(5x) + sin(7x)) / (cos(x) + cos(3x) + cos(5x) + cos(7x))
= (2 sin(4x) (cos(3x) + cos(x))) / (2 cos(4x) (cos(3x) + cos(x)))
= sin(4x) / cos(4x)
= tan(4x)
QED
Find the slope of the line that passes through (10,9) and (5,11)
Answer:
the answer is -2/5
Step-by-step explanation:
here to you!!!!!!!! now prove it
Answer:
teenagers who watch TV =2
teenagers wearing glasses =5
hence probability =2/5=0.4
now you prove how ur answer is 0.5
Try it
CO
Arrange the tiles on both boards to find the value of x.
What x value solves the equation?
3x - 5 = 1
.
X=
Board sum: 3x + (-5) = 1
Board was restored to starting
point.
Reset
pls help will mark brainliest
Answer:x=0,5
Step-by-step explanation:
6x -1/2=1
6x-1=1.2
6x-1=2
6x=2+1
6x=3
x=3/6
x=0,5
How can 12 x 50 help you find 12 x 49?
Answer:
It can help by solving out 12x50 because it is easier to solve without a calculator
Step-by-step explanation
Answer:
12x50=600
12x49=588
600-12=588!
Step-by-step explanation:
HELP ME ASAP 10 POINTS WILL BE GIVIN
Answer:
h = A/b
Step-by-step explanation:
A = bh Divide b from both sides of the equation
A/b = bh/b On the right side, the b in the numberator and denominator cancel out.
h = A/b
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
Pls See the photo
Step-by-step explanation:
Hope u like it
Answer:
His son is 10 and his father is 30.
Step-by-step explanation:
Let the age of his son be x and his father's age be 3x.
5(x-5) = 3x-5
5x-25 = 3x-5
5x-3x = 25-5
2x = 20
x = 10
3x = 10 × 3
= 30
two supplementary angles differ by 34. find the angles..
Answer:
107°
73°
Step-by-step explanation:
Let the two supplementary angles be x° and y°.
x + y = 180....(1)
Since, supplementary angles differ by 34.
Therefore,
x - y = 34....(2)
Adding equations (1) & (2)
x + y = 180
x - y = 34
_________
2x = 214
x = 214/2
x = 107°
Plug x = 107 in equation (1)
107 + y = 180
y = 180- 107
y = 73°
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!!!!!
Answer:
Up to 10
Step-by-step explanation:
Cost of fish = $3.99Limit of money = $40Number of fish = xInequality:
3.99x ≤ 40x ≤ 40/3.99x ≤ 10.02The slope intercept form of a linear equation is y=mx+b,where x and y are coordianates of an ordered pair, m is the slope of the line, and b is where the Crosse...
Answer:
The equivalent equation solved for x is x = (y-b)/m
Step-by-step explanation:
Here is the complete question:
The slope-intercept form of a linear equation is y = mx + b, where x and y are coordinates of an ordered pair, m is the slope of the line, and b is where the line crosses the y-axis.
Which is an equivalent equation solved for x?
x = y-bmx = y-b over m
x= my + b
m=y−bxm is equal to the fraction with numerator y minus b and denominator x
x=y−bm
Step-by-step explanation:
To determine the equivalent equation solved for x, we will make x the subject of the formula.
From the given equation,
y = mx + b
To make x the subject of the equation,
First, add -b to both sides of the equation, so that we get
y +(-b) = mx +b +(-b)
Then, we will get
y-b = mx +b -b
y-b = mx
Finally, to make x the subject of the equation, we will divide both sides by the coefficient of x ( that is, m)
(y-b) / m = mx / m
Then,
(y-b)/m = x
∴ x = (y-b)/m
Hence, the equivalent equation solved for x is x = (y-b)/m.
The first option is correct
x = (y-b)/m = y-b over m
A skydiver falls 288.52 feet in four seconds.
The skydiver fall feet per second.
Answer:
72.13
Step-by-step explanation:
72.13
4|288.52
28
08
8
28% of US adults say they are more likely to make purchases during a sales tax holiday. You randomly select 10 adults. Find the probability that the number of adults who say they are more likely to make purchases during a sales tax holiday is (a) exactly two, (b) more than two, and (c) between two and five, inclusive.
Answer:
a
[tex]P(X = 2) = 0.2547[/tex]
b
[tex]P(X > 2) = 0.5623 [/tex]
c
[tex]P(2 \le X \le 5 ) = 0.7817 [/tex]
Step-by-step explanation:
From the question we are told that
The proportion of US adults who say that they are likely to make purchase during a sale tax holiday is
[tex]p = 0.28[/tex]
The sample size is n = 10
Generally the distribution of US adults who say that they are likely to make purchase during a sale tax holiday, follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the probability number of adult is exactly 2 is mathematically represented as
[tex]P(X = 2) = ^{10}C_2 * (0.28)^2 * (1- 0.28)^{10-2}[/tex]
=> [tex]P(X = 2) = 45 * 0.0784 * 0.0722[/tex]
=> [tex]P(X = 2) = 0.2547[/tex]
Generally the probability number of adult is more than 2 is mathematically represented as
[tex]P(X > 2) = 1- [P(X \le 2) ][/tex]
[tex]P(X > 2) = 1- [[P(X = 0)] +[P(X = 1) ] + [P(X = 2)] ][/tex]
=> [tex]P(X > 2) = 1- [^{10}C_0 * (0.28)^0 * (1- 0.28)^{10-0}] +[^{10}C_1 * (0.28)^1 * (1- 0.28)^{10-1}] + [^{10}C_2 * 0.28^2 * (1- 0.28)^{10-2}] ][/tex]
=> [tex]P(X > 2) = 1- [0.0374 + 0.1456 + 0.2547 [/tex]
=> [tex]P(X > 2) = 0.5623 [/tex]
Generally the probability number of adult is between two and five, inclusive is mathematically represented as
[tex]P(2 \le X \le 5 ) = [P(X = 2 ) + P(X = 3 ) +P(X = 4) + P(X= 5 )] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[^{10}C_32 * 0.28^2 * (1- 0.28)^{10-2}] + [^{10}C_3* 0.28^3 * (1- 0.28)^{10-3}] +[^{10}C_4 * 0.28^4 * (1- 0.82)^{10-4}] + [^{10}C_5 * 0.28^5 * (1- 0.28)^{10-5}]] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[0.2547] + [120* 0.02195 * 0.1003] +[210 * 0.00615 * 0.1393] + [252 * 0.0017 * 0.1935]] [/tex]
=> [tex]P(2 \le X \le 5 ) = [[0.2547] + [0.2642] +[0.1799] + [0.0829] [/tex]
=> [tex]P(2 \le X \le 5 ) = 0.7817 [/tex]
CAN YALL HELP ME-
which type of transformation is described by (x y) (x+2 y+3)
Answer:
Reflection. Hope this helps you :)
uh .. help i guess? :)
Answer:
90°
45°
45°
90°
Step-by-step explanation:
this is a square all the sides and angles are equal .
all angles being 90°.
and all diagonals of a square are also 90°
carmela walked 3 miles in 3/4 hours Hari walked 2 miles in 1/2 did they walk the same speed?
Answer:Yes
Step-by-step explanation:
Carmela:3/4/3=1/4 per mile
Hari:1/2/2=1/4 per mile
Find -0.2(4.75). Show your work
Answer:
4/95
Step-by-step explanation:
convert -4.75 into the fraction 19/4 and -0.2 into -2/10 then multiply across and simplify
Help please photo is above
Answer:
y = 5
x = 10
Step-by-step explanation:
-4(2y) + 11y
-8y + 11y = 15
3y = 15
/ 3 /3
y = 5
x = 10
Solve |x|>4
A. {-4,4}
B. {x|-4
C. {x|x<-4 or x>4}
Answer:
C. {x | x < -4 or x > 4}Step-by-step explanation:
|x| > 41. x > 42. x < -4Combined, it is option C. {x | x < -4 or x > 4}
As a plane takes off it ascends at a 20 degree angle of elevation. If the plane has been traveling at an average rate of 290 ft/s and continues to ascend at the same angle, then how high is the plane after 10 seconds (the plane has traveled 2900ft).
Given :
As a plane takes off it ascends at a 20 degree angle of elevation.
If the plane has been travelling at an average rate of 290 ft/s and continues to ascend at the same angle.
To Find :
How high is the plane after 10 seconds.
Solution :
Distance travelled by plane, D = 2900 ft.
Angle of elevation, Ф = 20°.
Height gained is given by :
[tex]H = Dsin\ \phi[/tex]
H = 2900 × sin 20°
H = 991.86 ft.
Therefore, height of plane after 10 seconds is 991.86 ft.
Hence, this is the required solution.
Last year, your store's total revenue was $272,000. The store's total discounts were $3,505 and returns totaled $1,459.
What were your store's net sales?
a) $209,844
b) $254.984
c) $267.036
d) $289,890
Answer: 267,306
Step-by-step explanation:
How to find a missing angle
Answer:
by solving it's angle it's easy
Water flows through a pipe at a rate of 2 fluid ounces per second. Express this rate of flow in quarts per minute.
Answer:
3.90625 quarts per minute.
Step-by-step explanation:
we want to convert from ounces to quarts
and also from seconds to minutes
1 ounces is equal to 0.03125qtz
2 ounces will be x
cross multiply
x=0.0625 quarts
i minutes is equal to 60 sec
x minute is equal to 1 sec
cross multiply
x= 1/60
x=0.016 minute
rate of flow in quarts per minute.
=0.0625/0.016
=3.90625 quarts per minute.
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria. How many students went outside? Write an equation and solve the problem?
Answer:
The equation to solve the problem is
306 = 249 + x
x = 306 - 249
Hence:
57 students went outside
Step-by-step explanation:
Let the number of students outside be represented by x
Hence:
Number of students in the cafeteria = Number of students inside - Number of students who went outside
We are told:
There were 306 students in the cafeteria. After some went outside, there were 249 students left in the cafeteria.
The equation to solve the problem is given as:
306 = 249 + x
x = 306 - 249
Hence:
x = 57
57 students went outside
What are the greatest common factors between 18
and 21?
Answer:
1, 2, 3, 6, 9, 18. Factors of 21: 1, 3, 7. The highest number that both sets contain is 3, so the GCF will be 3.
Step-by-step explanation:
Alexa brought 20 chocolate cookies and sugar cookies to the fall party in the ratio of 2:3. How many chocolate cookies does she have?
Answer:
8 chocolate cookies
Step-by-step explanation:
2+3 = 5
20/5=4
4x2
8
Which number line represents the solutions to 1-2x] = 4?
+ +
+
-10 -8 -6 -4 -2 0 2 4
+ +
8 10
6
+
-10 -8 -6 -4 -2 0 2 4 6
+
8
10
+
+
-10 -8 -6 -4 -2 0 2 4 6 8
=>
10
A+
+ + + + + +
-10 -8 -6 -4 -2 0 2 4 6 8 10
Answer:
The answer is -2 and 2.
Step-by-step explanation:
You have to solve the modulus :
[tex] | - 2x| = 4 [/tex]
[tex] - 2x = ±4[/tex]
[tex] - 2x = 4[/tex]
[tex]x = - 2[/tex]
[tex] - 2x = - 4[/tex]
[tex]x = 2[/tex]
Anything helps thank you
Answer:
It's been a while since I've done stuff like that but I think the y intercept is the flat fee and the slope is the amount added.
Answer:
Ich habe keine Ahnung, aber danke für die Punkte!
Step-by-step explanation:
the grace your family is driving from Sacramento California to Key West Florida and 5 days they had travel 2045 miles at this rate, how long will it take them to travel from Sacramento to key west.
Step-by-step explanation:
it will take them 104 hours.