4(4)+2(6)-(-2)
16+2(6)-(-2)
multiply 2 by 6
16+12-(-2)
multiply -1 by -2
16+12+2
add 16 and 12
28+2
add 28 and 2
30
so your answer is 30
13 upon 5, 11 upon 6, 17 upon 8....write in decimal form
Answer:
[tex]\large \boxed{\mathrm{see \ below}}[/tex]
Step-by-step explanation:
13 upon 5 is 13/5
13/5 in decimal form is 2.6
11 upon 6 is 11/6
11/6 in decimal form is 1.833333...
17 upon 8 is 17/8
17/8 in decimal form is 2.125
whats 20 x 213 =? REEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
4260
Step-by-step explanation:
Answer:
4260
Step-by-step explanation:
I need help to solve this please help me...
Your question has been heard loud and clear/
we know,
4cos³x = 3cosx + cos3x
put here, x = 20°
then, 4cos³20° = 3cos20° + cos3 × 20°
= 3cos20° + cos60°
cos³20° = (3cos20° + cos60°)/4 -------(1)
similarly ,
4sin³x = 3sinx - sin3x
put here, x = 10°
4sin³10° = 3sin10° - sin30°
sin³10° = (3sin10° - sin30°)/4 -----------(2)
now,
LHS = cos³20° + sin³10°
put equations (1) and (2)
= 1/4(3cos20° + cos60°) + 1/4 ( 3sin10° - sin30°)
= 1/4( 3cos20° + cos60° + 3sin10° - sin30°)
we know,
cos60° = sin30° = 1/2
= 1/4 ( 3cos20° + 3sin10°)
= 3/4(cos20° + sin10°) = RHS
hence proved
Thank you
Answer: see proof below
Step-by-step explanation:
Use the following identities & Unit Circle calculations:
4cos³x = 3cos x + cos 3x
--> cos³x = (1/4)[3cos x + cos 3x]
4sin³x = 3sin x - sin 3x
--> sin³x = (1/4)[3sin x - sin 3x]
cos 60° = sin 30° = (1/2)
Proof: LHS → RHS
Given: cos³ 20° + sin³ 10°
Triple Angle Identity: (1/4)[3cos 20° + cos 3·20°] + (1/4)[3sin 10° - sin 3·10°]
Simplify: (1/4)[3cos 20° + cos 60° + 3sin 10° - sin 30°]
(1/4)[3cos 20° + (1/2) + 3sin 10° - (1/2)]
(1/4)[3cos 20° + 3sin 10°]
Factor: (3/4)[cos 20° + sin 10°]
Proven: (3/4)[cos 20° + sin 10°] = (3/4)[cos 20° + sin 10°] [tex]\checkmark[/tex]
-5x - 5y + 4x - (2y + 3)
Step-by-step explanation:
-5x - 5y + 4x - (2y + 3)
= - 5x + 4x - 5y - (2y + 3)
= - x - 5y - 2y - 3
= - x - 7y - 3 ( Answer )
Answer:
-x-7y-3
Step-by-step explanation:
distribute parentheses:
-(2y)-(3)= -2y-3
= -5x-5y+4x-2y-3
simplify
group like terms= -5x+4x-5y-2y-3
add similar elements= -x-5y-2y-3
add similar elements= -x-7y-3
Therefore, simplest expression is -x-7y-3
I hope this helps!!!
Solve for y.
4y - 4= 4.
Answer:
y=2
because 4x2 =8 then 8-4 equals to 4 which is what your trying to get
Find x.
help i have no idea
Answer:
18
Step-by-step explanation:
The triangle on the left is a 30-60-90 triangle.
The ratio of the lengths of the sides is:
short leg : long leg : hypotenuse
1 : √3 : 2
The short leg of the left triangle is half the hypotenuse.
12√6 / 2 = 6√6
The long leg of the left triangle measures √3 times the short leg.
6√6 * √3
The triangle on the right is a 45-45-90 triangle.
The ratio of the lengths of the sides is:
short leg : long leg : hypotenuse
1 : 1 : √2
The length of the leg is the length of the hypotenuse divided by √2.
6√6 * √3 / √2 = 18
how many terms are in the equation 14x^2 - 12x + 5
Essentially any like term is a variable with the same letter at the end or the same letter and power.
In this equation, we are given:
a variable, a letter, and a powera variable, and a lettera variableThey are all different, so there are 3 different terms in the equation
Best of Luck!
Lisa flips 2 fair coins.
What is the probability of obtaining two tails?
Give your answer in its simplest form.
When Lisa flips 2 fair coins, the probability of obtaining two tails is 1/4.
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
Number of coins flips by Lisa = 2,
To find the probability of obtaining two tales,
The sample pace of flipping two coins = {(H, H), (H, T), (T, H), (T, T)}
The tale on both coins can come one time.
So the probability = number of favorable outcome / total observation
= 1 / 4
The required probability of obtaining two tails is 1 /4.
To know more about Probability on:
https://brainly.com/question/12478394
#SPJ3
A deep sea diver descends below the surface of the water at a rate of 60 feet each minute. What is the depth of the diver after 10 minutes.
Answer:
600 feet
Step-by-step explanation:
60 feet per minute
m = minute
60m
60(10)
600 feet
what two numbers multiply to -18 and and add to -7
Answer:
2 and -9
Step-by-step explanation:
3 Which property can be used to expand the expression
[tex] - 2( \frac{3}{4} \times + 7)[/tex]
Answer: Distributive Property
Step-by-step explanation:
[tex]-2\bigg(\dfrac{3}{4}x+7\bigg)\\\\\\\text{DISTRIBUTE -2 to both terms:}\\-2\bigg(\dfrac{3}{4}x\bigg)+(-2)7\\\\\\\text{Simplify:}\\-\dfrac{3}{2}x-14[/tex]
please help on 7 to be marked the brainliest
Answer:
D) 3.57%
Step-by-step explanation:
The percentage change is given by ...
percent change = ((new value) -(old value))/(old value) × 100%
= (3.19 -3.08)/3.08 × 100% = 0.11/3.08 × 100% = (11/3.08)% ≈ 3.57%
__
When dealing with percentages, you need to be clear about what number represents 100%, the reference value against which errors or changes are measured. Here, it is the π of the mug, 3.08.
what is the distance between the points ( - 1 , -3 ) and ( 5 , -2 )
Step-by-step explanation:
let the point A( - 1 , -3 ) and B( 5 , -2 )
here, x1 = -1; x2 = 5
y1 = -3; y2 = - 2
Now, the distance between A and B
[tex]AB = \sqrt{(x _{1} - {x}_{2} ) {}^{2} + (y _{1} - y _{2}) {}^{2} } [/tex]
[tex]AB = \sqrt{( - 1 - 5) {}^{2} + ( - 3 ( - 2) {}^{2} }[/tex]
[tex]AB = \sqrt{36 + 1} = \sqrt{37} [/tex]
Thus, The Distance between AB is
[tex] \sqrt{37} [/tex]
what makes a great society in china
Which of the following correctly uses exponents to write "6 factors of 2"? A.62 B.26 C.6 ∙ 2 D.12
2m ∙ 2n would be the same as _____.
A.2m + n B.2m - n C.2mn D.4mn
23^0 is equal to _____.
A.0 B.1 C.23 D.1/23
Step-by-step explanation:
1. 6 factors of 2 means, 2 multiplied by itself 6 times. It can be written in the form of exponents as 2⁶.
2. [tex]2^m{\cdot} 2^n[/tex]
The law of exponent is : [tex]x^a{\cdot} x^b=x^{a+b}[/tex]
So,
[tex]2^m{\cdot} 2^n=2^{m+n}[/tex]
The correct option is (A).
3. If the power of any number is 0, then the value of that number is equal to 1.
So,
[tex]23^0=1[/tex]
Hence, this is the required solution.
Bryan drives up to a traffic circle from Elm Street. He drives 15 meters around the circle is a perfect circle with a radius of 10 meters, at what angle is Maple Street to Elm Street?
Answer:
85.9°Step-by-step explanation:
Using the formula for calculating the length of an arc to get the angle of Maple Street to Elm Street;
Length of an arc = θ/360 * 2Πr where r is the radius of the circle.
Given r = 10m and length of the arc = 15m
On substituting;
15 = θ/360 * 2π(10)
15 = θ/360 * 20π
θ/360 = 15/20π
θ/360 = 0.2387
θ = 360* 0.2387
θ = 85.9°
Hence Maple street is at 85.9° to Elm street.
Answer:
[tex]\approx \bold{85.98^\circ}[/tex]
Step-by-step explanation:
Given that
Radius of circle = 10 metres
Bryan drives 15 metres around the circle.
To find:
The angle of Maple street to Elm street = ?
Solution:
Kindly refer to the image attached.
The Elm street meets the circle at A.
Maple street at B.
Given that arc length AB = 15m
Radius of circle = 10 m
We have to find the angle of arc.
Let us use the formula:
[tex]\theta = \dfrac{l}{r}\\\Rightarrow \theta = \dfrac{15}{10} \\\Rightarrow \bold{\theta = 1.5\ radians}[/tex]
Converting to degrees:
[tex]\pi\ rad = 180^\circ\\1.5\ rad = \dfrac{180}{\pi} \times 1.5^\circ\\\theta \approx \bold{85.98^\circ}[/tex]
Please please please please help
Answer: x^2+4x+3
Step-by-step explanation:
f(g(x)) >>> replace the g(x) with the given information
f(x+2) >>> replace every (x) in the given f(x) with (x+2)
(x+2)^2-1 >>> foil it out
x^2+4x+4-1 >>> simplify
x^2+4x+3 >>> ANSWER!! :)
Gasoline prices are given to the nearest thousandth of a dollar. If a gallon of gasoline costs $3.49 and increases $0.09, what is the price of gasoline after the increase?
Answer:
$3.58
Step-by-step explanation:
Since the cost is increasing, you need to add the two values together.
$3.49 + $0.09 = $3.58
The price of gasoline after the increase is $3.58.
What is the domain and range of..... please help
Answer:
For domain,
9-x2>=0
or,(x+3)(x-3)<=0
using wavy curve method,we get
Domain=[-3,3]
As domain matches only in first option,so the correct option is option first
A petroleum laboratory technician can perform 56 tests on samples in 7 hours. At this rate, how many of the same
tests could the technician perform in 8 hours?
49
57
64
105
120
Answer:
64
Step-by-step explanation:
56/7 = 8
8*8 = 64
64 tests
Six times the square of a number.
Answer:
6(x^2)
Step-by-step explanation:
The square of a number is x^2 and then you multiply that by six so it has to have parenthesis
Calculate the area
[tex]A=a\cdot b\cdot \sin\angle AB\\\\A=5\cdot8\cdot\sin63^\circ\\\\A=40\cdot0.891\\\\\boxed{A=35.64}[/tex]
Answer:
[tex]\huge \boxed{\mathrm{35.64 \ units^2 }}[/tex]
Step-by-step explanation:
The adjacent side lengths and an angle is given.
We need to find the height of the parallelogram.
A small right triangle is formed with an angle of 63 degrees and an hypotenuse of 5 units.
We can use trigonometric functions to solve for the height.
sin θ = opp/hyp
sin 63 = h/5
Multiplying both sides by 5.
h = 5 sin 63
h ≈ 4.45503262
Area of parallelogram = base × height
A = 8 × 4.45503262
A = 35.640261
Solve the following equation.
3(5x+4)−20=13x−4
A. -2
B. 2
C. 8
D. 4
Answer:
B
Step-by-step explanation:
Hi!
3(5x+4)−20=13x−4
15x+12-20=13x-4 Distribute the 3 to the 5x and 4
15x-8=13x-4
2x-8=-4 Subtract 13x from both sides
2x=4 Add 8 to both sides
x=2 Divide both sides by 2
So 2 is the answer :)
is 50 square root plus 2 square root irrational and equal to which of these four options
Answer:
Yes, 50 square root plus 2 square root irrational
[tex] 6\sqrt{2}[/tex]
Step-by-step explanation:
[tex] \sqrt{50} + \sqrt 2[/tex]
[tex]= \sqrt{25\times 2} + \sqrt 2[/tex]
[tex]= 5\sqrt{2} + \sqrt 2[/tex]
[tex]= 6\sqrt{2}[/tex]
Since, [tex]\sqrt{2}[/tex] is irrational.
Therefore, [tex] \sqrt{50} + \sqrt 2[/tex] is also irrational and
[tex] \sqrt{50} + \sqrt 2=6\sqrt{2}[/tex]
Find the answer please
1st set = 4 letters
2nd set = 4x 4 = 16 letters
3rd set = 16 x 4 = 64 letters
4th set = 64 x 4 = 256 letters
5th set = 256 x 4 = 1,024 letters
6th set =1024 x 4 = 4,096 letters
7th set = 4096 x 4 = 16,384 letters
8th set = 16,384 x 4 = 65,536 letters
Each letter cost 2
Total cost = 65,536 x 2 = 131,072
What is the upper quartile value of the data summarized on the box plot?
A) 30
B) 40
C) 95
D) 100
Answer:
95
Step-by-step explanation:
Read the question and help me with that, please.
Answer:
B. -1
Step-by-step explanation:
examples:
1 and -1
1/2 and -2
Answer:
B=-1
Step-by-step explanation:
diagonals are perpendicular line, the slope of perpendicular line are opposite reciprocal.
example if the slope line AC =3
the slope of BD=-1/3
-1/3*3=-1
Which names accurately describe figure PQRS? Select three options.
parallelogram
pentagon
rectangle
rhombus
trapezoid
Answer:
parallelogram, rectangle, rhombus
Step-by-step explanation:
Answer:
heyooo i am here to clarify the answer is {parallelogram, rectangle and rhombus}
Step-by-step explanation:
in short, the answer is
A.
C.
D.
i hope you do good on your test !!
-cookie <3
a chemist is in 357 mL of a solution of acid and water. if 16.9% of the solution is acid, how many milliliters of acid are there? round your answer to the nearest tenth.
Answer:
The quantity of acid in the solution is 47.1 ml.
Step-by-step explanation:
if a square + b square + c square is equal to 50 and AB+ BC + CA equal to 3 find a + b + c
Step-by-step explanation:
Taking LHS of the identity:
(a + b +c)2
This can also be written as:
= (a + b + c) (a + b + c)
Multiply as we do multiplication of trinomials and we get:
= a(a + b + c) + b(a + b + c) + c(a + b + c)
= a2 + ab + ac + ab + b2 + bc + ac + bc + c2
Rearrange the terms and we get:
= a2 + b2 + c2 + ab + ab + bc + bc + ac + ac
Add like terms and we get:
= a2 + b2+ c2 + 2ab + 2bc + 2ca
Hence, in this way we obtain the identity i.e. (a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca