Step-by-step explanation:
245+197=442 i think....
please help me prove the identity
Answer:
[tex]\frac{1-\tan x }{1+\cot x}[/tex]
Step-by-step explanation:
Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:
1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given
2) [tex]\frac{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x-1}{2\cdot \sin x \cdot \cos x +\cos ^{2}x - \sin^{2}x+1}[/tex] [tex]\sin 2x = 2\cdot \sin x \cdot \cos x[/tex]/[tex]\cos 2x = \cos^{2}x - \sin^{2}x[/tex]
3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]
4) [tex]\frac{2\cdot \sin x \cdot \cos x -2\cdot \sin^{2}x}{2\cdot \sin x \cdot \cos x +2\cdot \cos^{2}x}[/tex] [tex]\sin^{2}x + \cos^{2}x = 1[/tex]
5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.
6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.
7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]
8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]
9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result
The population of Laredo, Texas, was about 215,500 in 2007. It was about 123,000 in 1990. If we assume that the population growth is constant, write a linear equation with an integer slope to represent p, Laredo’s population t years after 1990.
The equation of population of Laredo, Texas is :
- [tex]p=\frac{92500}{17}t+123000[/tex]
"Population Growth"Given:
t = the number of years after 1990.So, for 1990, t = 0. So the coordinate is (0, 123000).For 2007, t = 17. So the coordinate is (17, 215500).Using point slope formula:
point slope= [tex]\frac{p-123000}{t-0point slope=\frac{215500-123000}{17-0}\\\frac{p-123000}{t}point slope=\frac{92500}{17}\\p-123000point slope=\frac{92500}{17}t\\ppoint slope=\frac{92500}{17}t+123000[/tex]Learn more about "population growth":
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Evaluate f(x)=−7x−5 when x=−6.
f(−6)=
Answer:
f(_6) = _7(_6)_5
=42_5
=37
Y + 2 = -3/4 ( x +1 )
Answer:
Step-by-step explanation:
16. Find the median for the following data. 16, 15, 14, 14, 17, 13, 17, 14
1 point
A. 14.5
B. 14
C. 15
D. 17
Dax is buying coffee for 5 people in his office. He also leaves a $2.00 tip for the barista.
If his total, with tip, is $18.25, how much is each cup of coffee, not including the tip?
Answer:
3.25
Step-by-step explanation:
Julie wants to buy tulip bulbs to plant. Each bulb costs $0.50 plus a one-time $4.50 shipping cost. She has $22 to spend.
Write an equation to determine how many bulbs b Julie can buy have shipped.
Answer:
0.50 x 4.50 = 69.42.00 and 22 = 47.420.00
Step-by-step explanation:
47.420.00
i need step by step help pls someone help me and quick!
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
The expression is equivalent to which integer? 2(-57 divided by 3) + 20^2 - 5
Answer:
The answer is 357
Step-by-step explanation:
what is y=3/4x-2 in standard form
Answer:
Hi! The correct answer is 3x-4y=8
Step-by-step explanation:
Select the correct answer.
Factor the given expression.
x2 + 16x + 64
A.
(x + 16)(x + 4)
B.
(x + 4)2
C.
(x + 8)(x − 8)
D.
(x + 8)2
Pls help will give brainliest if the answer it right
Answer: Factors are the numbers and/or variables between your transactions (division, multiplication, addition, and subtraction signs). So the answer would be x2, 16x, and 64.
Step-by-step explanation:
You welcome
Can I get brainliest when sun else answers?
You have two identical boxes which an interior dimensions of 8.0x8.0x8.0. You completely fill one of the boxes with wooden spheres that are 1.6 in diameter. The other box gets filled with wooden cubes that are 1.6 cm on each edge. After putting the lid on the filled boxes, you then measure the density of each. Which one is more dense?
Answer: The one filled with wooden cubes.
Step-by-step explanation:
First, the box filled with spheres will have empty space, this is for how spheres are, so independent of the radius of the sphere, we will always have some empty space inside the box.
In the case of the cubes, this does not happen. Furthermore, the dimension of the box are 8cm by 8cm by 8cm, and the cubes have a sidelength of 1.6cm
We know that:
1.6cm*5 = 8cm
Then we can perfectly fill the box with the wooden cubes (such that there is no empty space like in the previous case).
Because this box has no empty space and is filled with the same material as the other box, we can conclude that this box will have a larger mass than the one filled with spheres.
And we know that:
density = mass/volume.
Both boxes have the same volume, but the box with cubes has a larger mass, then the box with cubes will have a larger density.
MMMM THE MODERATORS ARE MAKING ME FLIPPING ANGRY! I NEED SOMEONE TO ANSWER MY QUESTION PLEASE .
Answer:
780
Step-by-step explanation:
So 5% is 39 so 5% x 20 is 100% do the same with the 39 so do
39 x 20 = 780
If a certain cannon is fired from a height of 9.8 meters above the ground, at a certain angle, the height of the cannonball above the ground, h, in meters, at time, t, in seconds, is found by the function h(t) = -4.9t² + 30.5t +9.8. Find the time it takes for the cannonball to strike the ground.
Answer:
6.53 s
Step-by-step explanation:
The height of the cannon ball is represented by a quadratic function as:
h(t) = -4.9t² + 30.5t +9.8.
At 0 s (i.e. t = 0), h(0) = -4.9(0²) + 30.5(0) + 9.8 = 9.8
That means that the cannon ball is initially at a height of 9.8 m above the ground. To calculate the time it takes the ball to touch the ground, we use:
h(t) = -4.9t² + 30.5t +9.8
It touches the ground when h(t) = 0. Hence:
0 = -4.9t² + 30.5t + 9.8
Solving the above quadratic equation gives:
t = 6.53 s and t = -0.31 s
Since the time cannot be negative, hence t = 6.53 s. Therefore it takes the ball 6.53 s to hit the ground.
A piano has 88 keys. Fifty-two of the keys are white.
How many more white keys are there than black keys?
Answer:
36
Step-by-step explanation:
88 - 52
=36
If the sales tax rate is 5% in California, then how much would you pay in Los Angeles for a pair of shoes that cost $35.00?
Answer:
$36.75
Step-by-step explanation:
The sales tax rate = 5 = 0.05 [Divide by 100 to convert in decimal]
The cost of a pair of shoes = $35.00
Tax amount to pay = Tax rate × Cost of a pair of shoes
5% of 35 = 1.75
35 + 5% = $36.75
What is the area of the rectangle
A)60 sq. in.
B)40 sq. in.
C)20 sq. in.
D)28 sq. in.
Answer:
B) 40 sq. in
Step-by-step explanation:
4 times 10 = 40
Which is true about quadrant equations
Answer: In algebra, a quadratic equation (from the Latin quadratus for " square ") is any equation having the form where x represents an unknown, and a, b, and c represent known numbers, with a ≠ 0. If a = 0, then the equation is linear, not quadratic, as there is no term.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Hey there !!!
the question is incomplete the full question is Which of the following statements is TRUE/CORRECT about Quadratic Equations? A quadratic equation is _____
with options
A) an expression with a single variable and degree 2
B) an equation with a single variable and degree 2
c) an equation with only degree to 2
D) an equation with single variable only
and the correct answer is B
because Quadratic Equation states that An equation with one variable and degree 2 is a Quadratic Equation. Only option b satisfies the two basic conditions of a quadratic equation i.e. one/single variable and degree 2. Hence b is the correct answer.
Hope it helped
PLS HELP ITS TIMED..
Answer:
1. The judge should set a reasonable bail
2. All women
Step-by-step explanation:
Answer:
11. C. Maria should be allowed to call witnesses to support her innocence.
12. C. All women
Step-by-step explanation:
11. If she's pleading not guilty then she should have the right to get a witness.
12. This is the 19th amendment that granted women the right to vote.
$213 ski jacket with a 30% discount and a 6% tax
158.04$.
What is discount?A discount is a decrease in the cost of a commodity or service. If the item is broken, you can ask the manager for a discount.
Given the Written price of the ski jacket is 213$ on that there is a discount of 30% and 6% of tax. Hence,
discounted price of jacket = 213 (1- 30%)
discounted price of jacket = 149 approx.
Total price of the jacket after-tax = 149 (1 + 6%)
The total price of the jacket after-tax = 158.04$
Therefore, the price of a $213 ski jacket with a 30% discount and a 6% tax is 158.04$.
Learn more about discounts here:
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What is 5884 diveded by 94?
Answer:
62.5957447
Step-by-step explanation:
= 62 R 56
= 62 56/94
= 62 28/47
Answer:
The answer is 62.6
Step-by-step explanation:
pls help ASAP. 3+4√6÷√3+√2
Step-by-step explanation:
[tex] \frac{3 + 4 \sqrt{6} }{ \sqrt{3 } + \sqrt{2} } = \frac{3 + 9.798}{3.146} = \frac{12.798}{3.146} = 4.068 = 4.07[/tex]
0.00002004 and 0.01203000 in scientific notation
Answer:
Below...
Step-by-step explanation:
Scientific Notation:
2.004 × 10-5
Scientific Notation:
1.203 × 10-2
i never understood this!who ever gives me a answer i'll give em 5 stars and a thanks
What is the greatest common factor (GCF) of 20 and 28???
A. 6
B. 4
C. 2
Answer:
B, 4
Step-by-step explanation:
The greatest common factor of 20 and 28 is 4
The volume of a cylinder whose radius is 2r cm and height h/4cm is______________
Answer:
V=πrh/2
Step-by-step explanation:
volume of a cylinder can be calculated using below formula
V=πr2h
Given:
radius =2r cm
height= h/4cm
If we substitute the given value into the formula we have πrh/2
V= π ×(2r) ×(h/4)
Simplyfying
V=πrh/2
Hence, The volume of a cylinder is V=πrh/2
What is 1/2x(4+6x3)-9?
Answer:
Answer is 2
Step-by-step explanation:
Answer:
1st do you do 6 × 3 to get 18 and then you add that by 4 because parentheses come 1st. You want to use Pemdas so you do 1/2 times 22 and then you want to subtract 9 from 22 to get 12.
Help needed ASAP please
Answer:
19. 0•7431
20. 1•2800
21. 0•4850
what is the likelihood of choosing a blue marble from a bag containing 8 red, 6 yellow, 12 green, and 6 blue marbles
Answer:
6/32 or 3/16 chance
Step-by-step explanation:
Adding all of the marbles up we get our total, 32.
We have 6 blue marbles so 6/32 or 3/16 chance of picking a blue marble.
Answer:
6/32 or u can simplify it to 3/16
Plzzzzz give me Brainliest!!!!!
PLS HELP NOOOOOOOOOOOOOOOOWWWWWWWWWWWWWW
Answer:
cant its blocked
Step-by-step explanation:
