6(3u+4) please help I am in a classwork
Answer:
18u+24
Step-by-step explanation:hope this helps xxx
Pleas help! Trigonometry
The exact value of cos( α+ β) is (-24/85)(√7 + 2).
Describe Trigonometric Identity?Trigonometric identities are equations involving trigonometric functions that are true for all values of the variables involved. These identities are used to simplify expressions involving trigonometric functions, to solve trigonometric equations, and to prove other mathematical results.
Some of the most common trigonometric identities include the Pythagorean identity, which relates the sine and cosine functions to the unit circle and the tangent function; the sum and difference formulas, which relate the trigonometric functions of the sum or difference of two angles to the trigonometric functions of the individual angles; and the double angle and half angle formulas, which relate the trigonometric functions of twice or half an angle to the trigonometric functions of the original angle.
We can use the trigonometric identity cos(α + β) = cos(α)cos(β) - sin(α)sin(β) to find the value of cos(α + β), given the values of sin(α), sin(β), and the quadrants in which α and β lie.
We are given that sin(α) = 15/17 and that a lies in quadrant I, so we can use the Pythagorean identity to find cos(α):
cos(α) = √(1 - sin²(α)) = √(1 - (15/17)²) = √(112/289) = (4/17)√7
We are also given that sin(β) = 4/5 and that ẞ lies in quadrant II. Since sin(ẞ) is positive and cos(β) is negative in quadrant II, we can use the Pythagorean identity to find cos(β):
cos(β) = -√(1 - sin²(β)) = -√(1 - (4/5)²) = -3/5
Now we can substitute these values into the formula for cos(α + β):
cos(α + β) = cos(α)cos(β) - sin(α)sin(β)
= (4/17)√7 * (-3/5) - (15/17) * (4/5)
= (-12/85)√7 - (12/17)
= (-24/85)(√7 + 2)
Therefore, the exact value of cos( α+ β) is (-24/85)(√7 + 2).
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What is the area of the figure? In Units
Answer:
Area = 40
Perimeter = 26
Step-by-step explanation:
length = 8
width = 5
Area = 8 x 5 = 40
Perimeter = 2(8 + 5) = 26
help me solve it 50 points step by step explanation
Answer:
The perimeter is 52 cm
Step-by-step explanation:
Just add all the sides together.
15 + 3 + 5 + 11 + 8 + 10
To find the missing sides, just subtract 15 - 5
To find the other missing side, just subtract 11 - 3
Answer:
Step-by-step explanation:
The first thing you need to do is calculate the unknown lengths. Then, add to get the perimeter. This will be easier on paper so let me attach the solution. Hope this helps!
I am stuck please help with this graph.
An equation for the function graphed above include the following: g(x) = -1/4|x + 1| - 2.
How to interpret and determine the equation of g(x)?By critically observing the graph of this absolute value function, we can reasonably infer and logically deduce that the parent absolute value function f(x) = |x| was vertically compressed by a factor of 1/4, reflected over the x-axis, followed by a vertical translation 2 units down, and then a horizontal translation to the left by 1 unit, in order to produce the transformed absolute value function as follows;
f(x) = |x|
y = A|x + B| + C
g(x) = -1/4|x + 1| - 2
In conclusion, the value of the variables A, B, and C are -1/4, 1, and 2 respectively.
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I’m really stuck on these questions help
how is 81 written as a product of its prime factors
Answer:
Step-by-step explanation:
lets remember which are the prime numbers 1 to 81
2,3,5,7,23,29,31,37,....83
the only way you can write 81 as a product of its prime factors are
3x3x3x3=3^4
Please help out with this question .
Answer:
B
Step-by-step explanation:
someone help me out!
\(\red{➤}\:\)\(\sf f(x) = 2x^3-5x^2-3x \)
\(\red{➤}\:\)\(\sf g(x)=x\)
\(\\\)
To Find:-\(\orange{☛}\:\)\(\sf h(x) \)
\(\\\)
Solution:-\(\begin{gathered}\\\quad\longrightarrow\quad\sf h(x) =f(x)÷g(x) \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{f(x)}{g(x)}= \dfrac{2x^3-5x^2-3x}{x} \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf \dfrac{x(2x^2-5x-3)}{x} \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\sf 2x^2-5x-3 \\\end{gathered} \)
\(\begin{gathered}\\\quad\longrightarrow\quad\boxed{\sf{h(x)= 2x^2-5x-3}} \\\end{gathered} \)
- 2/5(20x -15) can you plz help me
Answer:
Step-by-step explanation:
First I just made -2/5 into a decimal because I like to work with decimals better (which equals -.4)
Then I times everything separately in the parenthesis and got -8x+6
Next you move the 6 over to the left side of the equals sign which would make the equation be -6 = -8x
Lastly you divide the -8 from -6 and you get X = 3/4
Children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination. Is this an example of price discrimination? Explain the conditions necessary for price discrimination to occur and draw the graphs to describe this situation.
Yes, children, students, and senior citizens being eligible for discounted movie tickets is an example of price discrimination.
What is price discrimination?When a merchant charges different rates to various groups of clients based on their willingness to pay, this is referred to as price discrimination.
Price discrimination requires market strength, definable client segmentation, and the capacity to avoid arbitrage among various groups.
Price discrimination is a sales approach in which the seller charges varying rates for the same product or service based on what the vendor believes the consumer would agree to.
See graph attached.
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40 POINTS: PLEASE HELP!! urgent! using half-angle identities questions
Answer:
try gauth. math! Take a photo of each question and upload the photo to see if it works
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4
the sum of two numbers is 57. The larger number is 15 more than the smaller number. What are the numbers?
Answer:
21 and 36
Step-by-step explanation:
So we would start by setting up an equation like x + x = 57 only we know that the larger number is 15 more than the smaller number so we would change it to x + x+15 = 57 so 2x + 15 = 57. Now simply solve and 2x = 42. Divide and x is equal to 21 so the smaller number is 21. The larger number is 15 more than the small so 15 + 21 is equal to 36. The two numbers would be 21 and 36.
PLEASE PLEASE HELP!!!
Answer:
398,765 books were sold
Step-by-step explanation:
How to get the answer:
1) Identify the given
32,300 is percentage
8.1 % is rate
base (b) is missing
2) Solve
b= p/r
b= 32,300 / 8.1% or 0.081
b= 398,765
3) Check
398,765 x 8.1% = 32,299.97 or 32,300
3x + 2 + 11x
It must be simplified
Answer:
14x+2
Step-by-step explanation:
3x+11x = 14x then +2 is left over so it's 14x+2
Suppose that point P is on a circle with radius r, and ray OP is rotating with angular speed o. Find each of the following for the given values ofr, w, and t r= 10 cm, 6 = radian per sec, t = 4 sec 6 radians (round to the nearest thousandths) a) What is the angle generated by P in time t? cm (round to the nearest thousandths) b) What is the distance traveled by P along the circle in time t? c) What is the linear speed of P? cm/sec (round to the nearest thousandths)
Find the area and the circumference of a circle with radius 7 m.
Use the value 3.14 for π, and do not round your answers.
Area=?
Circumference=?
Answer:
\(Area = 153.938040026m^2\)
\(Circumference= 43.9822971503m\)
Step-by-step explanation:
Area
\(Area = \pi r^2\\Area = \pi *7^2\\Area = 49\pi\\Area = 153.938040026\)
Circumference
\(C = 2\pi r\\C = 2\pi*7\\C= 14\pi\\C=43.9822971503\)
One model of cars comes with 4 choices
of audio systems, 2 choices of roof
styles (with or without moon roof), and
3 choices of seat covers (cloth, vinyl, or
leather). How many different car
ala
models does a customer have to choose
from if the customer can choose one
10
type of audio system, one style of roof,
and one type of seat cover
A customer has 4 x 2 x 3 = 24 different car models to choose from if the customer can choose one type of audio system, one style of roof, and one type of seat cover.
Which ordered pair is a solution of the equation shown? A.-3/4,- 1/2 B. 0,3/4 C.4/3, 1/2 D. 4, 3/2
pls hurry = 50 point
Answer:
the answer is b, c, d, a, respectively
How do you solve this 10y=40?
You must divide 10 by itself in order to cancel it out and get y by itself, you must also do the same to the 40. When you divide both sides, you’ll get y = 4.
Please Help ASAP - 100pts + Brainliest if Correct!
The value of y when x = 28 is given as follows:
y = 0.5.
What is a proportional relationship?A direct proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
An inverse proportional relationship is defined as follows:
y = k/x.
When x = 7, y = 2, hence the constant k is obtained as follows:
2 = k/7
k = 14.
Hence the equation is:
y = 14/x.
When x = 28, the value of y is obtained as follows:
y = 14/28
y = 0.5.
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25-40x = x - 10
solve this radical equation
the 25-40x is supposed to be in a square root
How do I solve for this?
Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)
Step-by-step explanation:
Generally speaking; \(cos^2x + sin^2x = 1\)
rearranging this gives us all sorts of cool things.
for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)
This however, is general.
In the third quadrant, cosine is negative. So cosx in QIII will be:
\(cosx =- \sqrt{ 1 - sin^2x}\)
and thats the answer :)
Function and notaion.
Answer: 45
Step-by-step explanation:
Function notation: is another way of writing a function to make it easy to understandInstead of the independent and dependent variables being x and y they are now x and f(x)f(x) can be interpreted as the y value at a given x value in this case f(-5) must be solved for, essentially saying what is y when the x value is -5\(f(-5)=2(-5)^{2} -5\)
\(f(-5)= 2(25) -5\)
\(f(-5) = 50-5\)
\(f(-5) = 45\)
Differentiate y = (1-x)(x² - 4)²
Answer:
Below in bold.
Step-by-step explanation:
Using the product rule:
dy/dx = (1 - x)* d (x² - 4)²/dx + (x² - 4)² * -1
Differentiate (x² - 4)²:-
Using the Chain Rule:
this = 2(x² - 4) * 2x
= 4x(x² - 4)
So substituting the above we have
dy/dx = (1 - x)4x(x² - 4) + (x² - 4)² * -1
= (1 - x)4x(x² - 4) - (x² - 4)²
= (x² - 4)(4x(1 - x) - (x² - 4))
= (x² - 4)(4x - 4x² - x² + 4)
= (x² - 4)(-5x² + 4x + 4)
= -(x² - 4)(5x² - 4x - 4) Answer
this expanded is
-5x⁴ + 4x³ + 24x² - 16x - 16 Answer.
Please help me l don’t understand
a. Let \(d\) be the number of daytime calls Eshwa makes, and \(e\) the number of evening calls. Then the cost \(C\) (in pence) of making \(d+e\) calls is
\(C = \boxed{50d + 40e}\)
b. £1 = 100p, so the cost \(C'\) (in £) is 1/100 of the cost found in part (a),
\(C' = \dfrac{50d + 40e}{100} = \boxed{\dfrac d2 + \dfrac{2e}5}\)
c. If Eshwa makes 30 of each type of call in a month, then the total cost (in £) is
\(C' = \dfrac{30}2 + \dfrac{2\cdot30}5 = \boxed{27}\)
c2. If Eshwa makes 20 daytime calls and 50 evening calls, then the total cost (in £) is
\(C' = \dfrac{20}2 + \dfrac{2\cdot50}5 = \boxed{30}\)
d. Let \(e=40\) and \(C'=42\). Solve for \(d\).
\(42 = \dfrac d2 + \dfrac{2\cdot40}5\)
\(42 = \dfrac d2 + 16\)
\(\dfrac d2 = 26\)
\(d = \boxed{52}\)
List the factors in the expression 4r + 5s +8.
Plz help me.
Answer: r = -2.4
Step-by-step explanation:
Simplifying 6r + 4 = r + -8 Reorder the terms: 4 + 6r = r + -8 Reorder the terms: 4 + 6r = -8 + r Solving 4 + 6r = -8 + r Solving for variable 'r'. -8 + -4 = -12
5r = -12
Let 0°
Given: tan a =2.4
Find: sin a and cos a
Answer:
sin α = 12/13;cos α = 5/13.-------------------------
Since angle α is between 0° and 90°, it is in the first quadrant and therefore all sin α, cos α and tan α are positive numbers.
Use the following identities:
tan α = sin α / cos α;sin² α + cos² α = 1.Given tan α = 2.4. Using identities, find cosine as follows:
sin α / cos α = 2.4sin α = 2.4 cos αcos² α = 1 - sin² αcos² α = 1 - (2.4 cos² α)²cos² α = 1 - 5.76 cos² αcos² α + 5.76 cos² α = 16.76 cos² α = 12.6 cos α = 1cos α = 1/2.6cos α = 10/26 cos α = 5/13Find sine:
sin² α = 1 - cos² αsin² α = 1 - (5/13)²sin² α = 1 - 25/169sin² α = 144/169sin α = 12/13find the next 2 terms if it’s geometric
1, 10, _ _