Answer:
0
Step-by-step explanation:
are given:
\displaystyle \frac{\sin^2(x)-\sin(x)-2}{\sin(x)-2}
sin(x)−2
sin
2
(x)−sin(x)−2
To make it simpler and more clear, we can let u = sin(x). So:
\displaystyle \frac{u^2-u-2}{u-2}
u−2
u
2
−u−2
Now, it becomes obvious that we can factor, which produces:
\displaystyle =\frac{(u-2)(u+1)}{u-2}=
u−2
(u−2)(u+1)
Cancel:
=u+1=u+1
And substituting back:
=\sin(x)+1=sin(x)+1
Hence, our answer is A.
The table below shows the amount of money earned by two different workers over 5 consecutive days. Which equation best represents Fallon's earnings in terms of Donald's earnings? (How do you go from x to y?)
A. x = 7y
B. x = y + 7
C. y = x + 7
D. y = 7x
Answer:
Answer:C. y = x + 7
Step-by-step explanation:
everything on the left is 7 less then on the right
HELP! WILL GIVE BRANLIEST!
10 in each do 10 times 3 then subtract total
a hospital bill is estimated to be $480. It ends up actually costing the patient $524.50. What is the percent of error in the bill?
Answer:
8.48%
Step-by-step explanation:
Given that,
The estimated bill = $480
Actual costing of the bill = $524.50
We need to find the percent error in the bill. It can be calculated as follows :
[tex]\%=\dfrac{524.50-480}{524.50}\times 100\\\\\%=8.48\%[/tex]
So, the percentage error in the bill is 8.48%.
Leann wants to gift wrap a present she got for her little brother how many square inches of gift wrap will be needed to cover a box that is 4in by 6in by 2in
Answer:
48 square in.
Step-by-step explanation:
so first off you do 4x6 and you get 24 now you want t do 24x2 and get 48
50 points I WILL ALSO MARK BRAINLIEST ITS TIMED PLZ HURRY
The coordinates of the vertices of a polygon are shown on the graph below.
On a coordinate plane, point A is at (negative 4, 3), point C is at (0, negative 3), and point B is at (negative 4, negative 3).
What is the name of the polygon?
octagon
pentagon
quadrilateral
triangle
Answer:
Triangle
Step-by-step explanation:
Option D. triangle
A pure sample of an unknown molecule has a mass of 0.03551
kg and contains 0.2000 moles.
What is the molecular weight of the substance?
g/mol
а
1.76 g/mol
b. 177.6 g/mol
с
17.755 g/mol
d 177.55 kg/mol
Answer:
177.6 g/mol
Step-by-step explanation:
The molecular weight of the substance is 177.55 g/mol.
Option B is the correct answer.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Examples:
1 hour = 60 minutes
1 minute = 60 seconds
1 km = 1000 m
The molecular weight (MW) of the substance can be calculated by dividing the mass of the sample by the number of moles:
MW = mass/moles
MW = 0.03551 kg / 0.2000 moles
MW = 0.17755 kg/mol
However,
The answer is given in grams per mole, so we need to convert the result to g/mol.
So,
1 kg = 1000 g
MW = 0.17755 x 1000 g/mol
MW = 177.55 g/mol
Therefore,
The molecular weight of the substance is 177.55 g/mol.
Learn more about unit conversion here:
https://brainly.com/question/13899873
#SPJ2
What is the answer please
Becky made 63 carnival masks, which is 30% less than the number
her brother made. How many carnival masks did Becky and her
brother make in total?
Answer:
273
Step-by-step explanation:
63 ÷ 30% = 210
210 + 63 = 273
therefore your total is 273
hope this is right, and that it helps :)
Answer:
Becky and her brother made 90+63=153 masks in total
Step-by-step explanation:
Percentages
Let's call x=number of masks Becky's brother made.
We know Becky made 30% less than the number of masks her brother made.
30% of x is calculated by:
30*x/100 = 0.3x
Now subtracting from x:
x - 0.3x = 0.7x
Becky made 63 carnival masks, this means that:
0.7x = 63
Dividing by 0.7:
x = 63/0.7 = 90
Becky's brother made 90 masks.
Becky and her brother made 90+63=153 masks in total
PLEASE HELP THIS IS URGENT
Kayla is thinking of a 3-digit number. * It is divisible by 18. * It is a palindrome (It reads the same left-to-right as it does right-to-left, like 252 and 848). * It is one less than a multiple of 5. What is Kayla’s number?
Answer: 414
Step-by-step explanation: 414 is a palindrome that is divisible by 18 because it’s an even number and that it’s one less than 415 which is a multiple of 5.
Kayla's number is 414 and this can be determined by using the given data and also by using the arithmetic operations.
Given :
Kayla is thinking of a 3-digit number. It is divisible by 18.It is a palindrome.It is one less than a multiple of 5.The following steps can be used in order to determine Kayla’s number:
Step 1 - Remember palindrome means 'reads the same left-to-right as it does right-to-left'.
Step 2 - The digit should be between 0 to 9 and according to the given data, the number is one than a multiple of 5 that is, the first and last digit must be 4 or 9.
Step 3 - So, the number which is divisible by 18 is 414.
For more information, refer to the link given below:
https://brainly.com/question/25277954
Factorise 12x^2 + 8x^3
Answer:
The answer is 4x^2 (3+ 2x)
Step-by-step explanation:
Factor 4 x ^2 out of 12 x ^2 + 8 x ^3 .
hoped this helped!
brainly, please?
is it complementary, supplementary, vertical, or none of the above? i need this right now!!!!
Answer:
d. None of these
Step-by-step explanation:
Hope it helps you in your learning process.
[tex] m\angle 1 + m\angle 2 + 90\degree = 360\degree [/tex]
[tex] m\angle 1 + m\angle 2 = 360\degree- 90\degree [/tex]
[tex] m\angle 1 + m\angle 2 = 270\degree [/tex]
Answer:
D. None of the above.
Step-by-step explanation:
Complementary are 90 degrees and supplementary are 180 degrees.
A full circle is 360 degrees, and since there is a right angle, that means that angle 1 and 2 make up 270 degrees total.
This means it is neither.
Please Answer This question.
Answer:
K = 15
Step-by-step explanation:
From the question given above, the following data were obtained:
Sine x = 1/4
Cos² x = K / 16
K =?
Next, we shall determine the 3rd leg (i.e the adjacent) of the right angle triangle. This can be obtained as follow:
Sine x = 1/4
Sine x = Opposite / Hypothenus
Opposite = 1
Hypothenus = 4
Adjacent =?
Hypo² = Opp² + Adj²
4² = 1² + Adj²
16 = 1 + Adj²
Collect like terms
16 – 1 = Adj²
15 = Adj²
Take the square root of both side.
Adj = √15
Next, we shall determine Cos² x.
Adjacent = √15
Hypothenus = 4
Cos² x =?
Cos x = Adjacent / Hypothenus
Cos x = √15 /4
Square both side
Cos² x = (√15 /4)²
Cos² x = 15 / 16
Finally, we shall determine the value of K. This can be obtained as follow:
Cos² x = K / 16
Cos² x = 15 / 16
K / 16 = 15 / 16
K = 15
Factorise fully 18j + 30jk
Answer:
6j(5k+3)
Step-by-step explanation:
18j+30jk
Factor out 6.
6(3j+5jk)
Consider 3j+5jk. Factor out j.
j(3+5k)
Rewrite the complete factored expression.
6j(5k+3)
A blogger had 400 subscribers to her blog in January. The number of subscribers has grown by a factor of 1.5 every month since then. Write a sequence to represent the number of subscribers in the 3 months that followed.
Answer:
[tex]600, 900, 1350[/tex]
Step-by-step explanation:
Given
[tex]a = 400[/tex] -- initial subscribers
[tex]b = 1.5[/tex] -- growth factor
Required
Determine the number of subscribers in the next three months
To do this, we make use of:
[tex]y = ab^x[/tex]
In this case:
x is the number of months
y is the number of subscribers
So:
when x = 1;
[tex]y = ab^x[/tex]
[tex]y = 400 * 1.5^1[/tex]
[tex]y = 400 * 1.5[/tex]
[tex]y = 600[/tex]
when x = 2
[tex]y = 400 * 1.5^2[/tex]
[tex]y = 400 * 2.25[/tex]
[tex]y = 900[/tex]
when x= 3
[tex]y = 400 * 1.5^3[/tex]
[tex]y = 400 * 3.375[/tex]
[tex]y = 1350[/tex]
So, the next three number of subscribers is:
[tex]600, 900, 1350[/tex]
A teacher randomly selects 10 out of her 30 students and finds that the mean height of those 10 students is 5′2". Is this a sample mean or a population mean, and which symbol would be used to denote it?
Answer:
Sample mean
Symbol: [tex]\frac{}{x}[/tex]
Step-by-step explanation:
Given
[tex]Population = 30[/tex]
[tex]Sample = 10[/tex]
[tex]Mean\ of\ the\ selected\ 10 = 5'2"[/tex]
Solving (a): Is it sample mean or population mean
From the question, we understand that 10 were selected from a total of 30.
And the mean of the selected 10 is 5'2"
The selected 10 is referred to as sample and the mean of the 10 is the sample mean
Solving (b): Symbol to use.
The symbol for sample mean is: [tex]\frac{}{x}[/tex]
Answer:
Step-by-step explanation:
its sample mean x just took the test.
Find the value of q which will make the quadratic expression 9x ^2-12x+q a perfect square
Answer:
The value of q that makes the expression a perfect square is q = 4.
Step-by-step explanation:
Perfect square:
A perfect square expression has the following format:
[tex](a - b)^2 = a^2 - 2ab + b^2[/tex]
In this question:
[tex]9x^2 - 12x + q[/tex] is a perfect square, we have to find the value of q.
First we have to find the value of a, looking at the equivalent formula above. So
[tex]a^2 = 9x^2[/tex]
[tex]a = \sqrt{9x^2}[/tex]
[tex]a = 3x[/tex]
Since the second term, which is -2ab, is -12x, we have that:
[tex]-2ab = -12x[/tex]
[tex]-2(3x)b = -12x[/tex]
[tex]-6xb = -12x[/tex]
[tex]6b = 12[/tex]
[tex]b = \frac{12}{6}[/tex]
[tex]b = 2[/tex]
q is b squared. So
[tex]q = b^2 = 2^2 = 4[/tex]
The value of q that makes the expression a perfect square is q = 4.
50 POINTS I WILL MARK BRAINLIEST PLZ HELP ITS TIMED
Clara’s teacher asked her to draw a polygon with vertices (–2, 4), (5, 4), (3, –3), and (–2, 0) and to identify the polygon. Clara drew the polygon below and identified it as a quadrilateral.
On a coordinate plane, a polygon is formed by points (negative 2, 4), (5, 4), (3, negative 3), and (negative 2, 0).
Which explains whether Clara is correct?
Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure with the wrong coordinates, but she correctly identified the four-sided figure as a quadrilateral.
Clara drew the figure correctly, but she should have identified the figure as a pentagon.
Clara drew the figure with the wrong coordinates, and she should have identified the figure as a pentagon.
Answer:
The given polygon has 4 vertices and, 4 non-parallel and non equal sides. So the given polygon is a quadrilateral.
Step-by-step explanation:
The given vertices of are (–2, 4), (5, 4), (3, –3), and (–2, 0).
i found this on web
Answer:
The answer is A. Clara drew the figure correctly and correctly identified the four-sided figure as a quadrilateral.
Step-by-step explanation:
What is the velocity of a car that’s traveled 306 kilometers northeast in 3.4 hours
Answer : -302.6
Step-by-step explanation:
Elena is designing a paint can with thickness ttt millimeters and height hhh centimeters. She calculates that the thickness of the can in milimeters must be at least 0.1, point, 1 times the height of the can in centimeters in order to withstand pressure. Due to cost constraints, the cost of material used, (0.2 + t+ 0.5h)cents, must be at most 12.2, point, 2 cents. Which system of inequalities best models the relationship between height and thickness?
Answer:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Step-by-step explanation:
Given
[tex]t= thickness[/tex]
[tex]h =height[/tex]
From the first statement, we have that:
[tex]t\ mm \ge 0.1 * h\ cm[/tex]
Convert mm to cm
[tex]t\ * 0.1*cm \ge 0.1 * h\ cm[/tex]
[tex]t\ *0.1 \ge 0.1 * h[/tex]
Divide both sides by 0.1
[tex]t \ge h[/tex]
From the second statement, we have that:
[tex]Cost \le 12.2[/tex]
Substitute 0.2 + t + 0.5h for Cost
[tex]0.2 + t + 0.5h \le 12.2[/tex]
Collect Like Terms:
[tex]t + 0.5h \le 12.2-0.2[/tex]
[tex]t + 0.5h \le 12.0[/tex]
So, the inequalities are:
[tex]t \ge h[/tex] and [tex]t + 0.5h \le 12.0[/tex]
Answer: it's a, the answer
Step-by-step explanation:
determine the area of mrs wests backyard that is coverd grass and show ur work!!
Answer:
150 ft^2
Step-by-step explanation:
The formula is (30*10)/2 which is equal to 150.
Please include the steps that took you to get your answer. I am very confused on what to do with the 1/2.
First let's review how to expand this!
(ax+b)^2=a^2*x^2+2abx+a^2
In this case
(2x^2+1/2)^2=2^2*x^2+2*1/2*2x+(1/2)^2
=4x^2+2x+1/4
Done!
Look at this expression.
-3xfy
x3y2
Which of the following is the simplest form of this expression?
OA
-3x²y2
ОВ. -3x?у?
Ос. -3°у?
OD. -3x® yo
Answer:
‐3×2y2 is the most common correct answer
which word describes the slope of line ?
what is the answer to (x-1)+(2x+3) ?
Answer:
3x + 2
Step-by-step explanation:
Answer:
3x+2
Step-by-step explanation:
Get rid of the parentheses:
(x−1)+(2x+3)
x−1+2x+3
Add up the numbers:
x−1+2x+3
x+2+2x
Combine like terms:
x+2+2x
3x+2
do's and donts in handling measuring tools
Answer:
I need answer too
Pleaseee help us
Carlos has a box of coins that he uses when playing poker
Number
with friends. The box currently contains 47 coins
Denomination of Coins Val
consisting of pennies, dimes, and quarters. The number of 0.01
pennies is equal to the number of dimes, and the total
value is $4.34. How many of each denomination of coin
does he have?
Answer:
d + 10d + 25q = 229.
Step-by-step explanation:
original price: $148 discount: ? sale price: $125.80
Answer:
15 % off
Step-by-step explanation:
Discount = Original Price x Discount %/100
Discount = 148 × 15/100
Discount = 148 x 0.15
You save = $22.20
Final Price = Original Price - Discount
Final Price = 148 - 22.2
Final Price = $125.80
what divided by 1/3 equals 6/7
Answer:
7/18
Step-by-step explanation:
Answer:
[tex]\frac{2}{7}[/tex]
Step-by-step explanation:
Let x represent the unknown number.
x ÷ [tex]\frac{1}{3}[/tex] = [tex]\frac{6}{7}[/tex]
To solve, we must multiply [tex]\frac{1}{3}[/tex] by [tex]\frac{6}{7}[/tex] .
[tex]\frac{1}{3}[/tex] * [tex]\frac{6}{7}[/tex] = [tex]\frac{2}{7}[/tex]
So, x = [tex]\frac{2}{7}[/tex]
Therefore, [tex]\frac{2}{7}[/tex] divided by [tex]\frac{1}{3}[/tex] equals [tex]\frac{6}{7}[/tex].
I would appreciate brainliest, but if not that's ok!
The height of a standard coffee cup
would be about
7 meters
B
7 kilometers
7 centimeters
D
7 millimeters
Answer:
7 centimeters
Step-by-step explanation:
Standard size of a coffee cup is 7 centimeters
7 meters is too big
7 kilometers is bigger than 7 meter
7 millimeters is too small
Please help me I’m giving brainliest!
=====================================================
Work Shown:
Applying the tangent-secant theorem will allow us to solve for x
x*(x+5) = (x+2)^2
x^2+5x = (x+2)*(x+2)
x^2+5x = x^2+4x+4
5x = 4x + 4 ..... subtracting x^2 from both sides; terms cancel
5x-4x = 4
x = 4
------------------
Check:
Plug in x = 4
x*(x+5) = (x+2)^2
4*(4+5) = (4+2)^2
4*(9) = (6)^2
36 = 36
The answer is confirmed.