Answer:
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
Step-by-step explanation:
According to tangent sub identity
Tan(A+B) = TanA+TanB/1-tanAtanB
Applying this in question
Tan(w+Pi) = tan(w)+tan(pi)/1-tan(w)tan(pi)
According to trig identity, tan(pi) = 0
Substitute
Tan(w+Pi) = tan(w)+0/1-tan(w)(0)
Tan(w+Pi) = tan(w)/1
Tan(w+Pi) = tan(w) (proved!)
Hence the correct option is
Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0
The given expression can be prove by using tangent sub-identity. In the solution we will use [tex]\tan (A+B)[/tex] sub-identity.
The correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Given:
The given expression is as follows,
[tex]\tan(w+\pi)=\tan(w)[/tex]
Write the tangent sub-identity.
[tex]\tan(A+B)=\dfrac{\tan A+\tan B}{1-\tan A\tan B}[/tex]
Now replace [tex]A[/tex] with [tex]w[/tex] and [tex]B[/tex] with [tex]\pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+\tan \pi}{1-\tan w\tan \pi}[/tex]
Substitute 0 for [tex]\tan \pi[/tex].
[tex]\tan(w+\pi)=\dfrac{\tan w+0}{1-\tan w\times 0}\\\tan(w+\pi)=\tan w[/tex]
Thus, the correct option is Rewrite tan(w + Pi) using the tangent sum identity. Then simplify the resulting expression using tan(Pi) = 0.
Learn more about tangent sub-identity here:
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The following list has a mean of 24. What would be the new mean if 17 was added to the list? 12,30,19,27,21,35
Answer:
23
Step-by-step explanation:
Answer:
The new mean should be 23.
Step-by-step explanation:
The mean of a group of numbers is the average.
We can find the average of a group of numbers by adding them all together and then dividing the final sum by the amount of numbers in the list.
All the numbers added together totaled to 161, and 161 divided by 7 equals 23.
Hope this helps!
A furniture factory makes 250 tables each day. Create an equation that can be used to find the total number of tables made, y, after x days.
Answer:
The equation would be y=250x
Step-by-step explanation:
They are making 250 tables a day (x)
we put the x next to the 250 because that number will change everyday.
y would equal our total
A power boat travels along a river in which the flow of water is at a constant in one direction. If the boat travels at 40 mph downstream and 30 mph upstream. What is the speed of the boat in still water and the speed of the river?
Answer:
im guessing 35mph
Step-by-step explanation:
Answer:
30 mph and 40 mph
Step-by-step explanation:
It is the same with the speed and water.
Is - 60 a solution of 1/12*=5?
Answer:
No -60 is not a solution
Step-by-step explanation:
x = 5/12 = 2.400
-60 is not a solution of 5/12, or 1/12*=5.
Hope I helped.
Which of the following have a value equal to |37|? Select all that apply.
A. –37
B. |–37|
C. 0
D. –(–37)
E. 37
Answer:
B, D, E
Step-by-step explanation:
Absolute value is always positive so the absolute value of 37 is 37.
and |-37| would equal 37.
HOpe this helps!!
Low‑density lipoprotein, or LDL, is the main source of cholesterol buildup and blockage in the arteries. This is why LDL is known as "bad cholesterol." LDL is measured in milligrams per deciliter of blood, or mg/dL. In a population of adults at risk for cardiovascular problems, the distribution of LDL levels is normal, with a mean of 123 mg/dL and a standard deviation of 41 mg/dL. If an individual's LDL is at least 1 standard deviation or more above the mean, he or she will be monitored carefully by a doctor. What percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean?
Answer:
The percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
Step-by-step explanation:
Let X represent the LDL levels.
It is provided that [tex]X\sim N(123, 41^{2})[/tex].
Compute the probability that a randomly selected individual is will have LDL levels 1 or more standard deviations above the mean as follows:
[tex]P(X\geq \mu+\sigma)=P(X\geq 123+41)[/tex]
[tex]=P(X\geq 164)\\\\=P(\frac{X-\mu}{\sigma}\geq \frac{164-123}{41})\\\\=P(Z>1)\\\\=1-P(Z<1)\\\\=1-0.84134\\\\=0.15866\\\\\approx 0.16[/tex]
Thus, the percentage of individuals from this population will have LDL levels 1 or more standard deviations above the mean is 16%.
At a school, there are 120 athletes. The ratio of boy athletes to giri athletes is 3:5. How many of the athletes are girls?
А
75
B
45
с
24
D 5
Answer:
a
Step-by-step explanation:
because there are over half girls and half of 120 is 60 and 75 is over half
Pls help
8th grade math
Answer:
per night 50 cost
Step-by-step explanation:
sorry but i goo
...................................
Answer:
What? lol
Step-by-step explanation:
Answer:
........................?
Step-by-step explanation:
Solve: x^2=10
A) x= +5
B) x= +100
C) x= +3.5
D) x= 10 squared
Answer:
D) x=√10
Step-by-step explanation:
√(10)=3.16(approximately )
I want the answer of this question
Answer:
42sq . units
Step-by-step explanation:
To get the width of the shaded rectangle, subtract 2(0.5) from the length of the other rectangle bounding it ( 7cm).
Multiply the length and width together to get the area .
Answer: 42 sq. Units
Step-by-step explanation: i got it right.
discrimination from teachers to students
Answer:
agree
Step-by-step explanation:
PLEASE HELP!
Equation: 4(x-6)-8=5(x-7)-x
Answer choices:
A. 0
B. All real numbers
C. No solution
D. Non of the above
I chose C but I wanted to get some confirmation. Thanks!
Answer:
0, it has no solution.
Step-by-step explanation:
The equations of sides of a triangle are 2x-3y+5=0, 2x+y=7 and 2x+5y=3. Find the coordinates of the vertices.
Answer:
Vertices A B y C
A ( 2 , 3 ) B ( -1 , 1 ) C ( 3, 1 )
Step-by-step explanation:
We have to solve a two-equation system, by pair of equations as follows
equation (1) 2x - 3y + 5 = 0
equation (2) 2x + y -7 = 0
Solving this system we find let´s say vertex A
0x - 4y +12 = 0 y = 3
Then x ?
2x - 3y + 5 = 0
2x - 9 + 5 = 0 ⇒ 2x = 4 x = 2
Then vertex A ( 2 , 3 )
From equation (1) and (3)
2x - 3y + 5 = 0
2x + 5y - 3 = 0
Agan subtracting (1) - (2)
0x -8y + 8 = 0
y = 1 and
2x + 5y = 3
2x + 5 = 3
2x = -2
x = -1
Vertex B ( -1 , 1 )
Finally from equation (2) and (3) we get the third vertex C
2x + y - 7 = 0
2x + 5y - 3 = 0
0x -4y -4 = 0
y = 1
2x + y = 7
2x + 1 = 7
2x = 6
x = 3
C ( 3 , 1 )
I need to find what the square root is to 19,478,730. my teacher literally put that. help
Answer: 4413.5
Step-by-step explanation:
4413.47142 if you need to be exact
When graphing a polynomial function, what determines what the graph will look like at the far left side? Explain your answer.
Answer:
2
Step-by-step explanation:
this will help i think this will be the answer i am not sure
Determine whether a statement is True or False. If it is False, provide an explanation or give an example:
Complete Question:
Determine whether the statement is true or false. If it is false, provide an explanation or give an example.
If f is decreasing on [a,b] then the minimum value of f(x) on [a,b] is f(a)?
Answer:
False
Step-by-step explanation:
Given
[a,b]
Where f(x) is decreasing
Required
Is the minimum f(a)?
This statement is false and it is proved using the following illustration
Take f(x) to be
[tex]f(x) = -2x[/tex]
The above represents a decreasing function because:
f(x) decreases as x increases
Having said that:
Assume [a,b] is:
[tex][a,b] = [2,5][/tex]
Substitute the value of a i.e. 2 for x in f(x)
[tex]f(2) = -2 * 2[/tex]
[tex]f(2) = -4[/tex]
Substitute the value of b i.e. 5 for x in f(x)
[tex]f(5) = -2 * 5[/tex]
[tex]f(5) = -10[/tex]
Notice that f(b) < f(a) i.e. -10 is less than -4
Hence:
f(x) is minimum at f(b)
Conclusively, the statement is false
Unit 4: Lesson 9: Parallel and Perpendicular Lines Unit Test Parallel and Perpendicular Lines does anyone have the answers for this 13 question test ??
Answer:
I need these answers and the ones he put in in the comments are all wrong
What is the solution to the following question 2^ -3x+2=0
Answer: x= −16
Step-by-step explanation:
Sam is investing his money. He thinks that he should make $8 for every $100 he invests. How much does he expect to make on an investment of $1500?
Answer:
$120
Step-by-step explanation:
Happy almost halloween!
HURRY ON A TIMER PLEASE HELP
which shows all the like terms in the expression
Answer:
the second one -3and1 :4x and 7x
Step-by-step explanation:
Answer:
-3 and -1; 4x and 7x
Step-by-step explanation:
like terms are the numbers with the same variable
eg. 4x^2 and 6x aren't like terms, but 2x^4 and 3x^4 are
Jill is building a wooden-raised bed garden for her vegetables. She wants the frame to have dimensions x feet by x + 3 feet. If she wants the garden to have a maximum area of 50 square feet, what are the possible values of x?
[−8.728, 5.728]
[1, 5.728]
[−3, 5.728]
(0, 5.728]
Answer:
its d
Step-by-step explanation:
thank the guy up top
Using quadratic formula, the possible values of x lies in [0, 5.728].
What is a quadratic formula?The quadratic formula is a formula that provides the solution to a quadratic equation.
[tex]x = \frac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \\\\when\ ax^2 + bx + c = 0\\a, b, c = constants, \\where\ a != 0\\x= the\ unknown[/tex]
The equation in the given question is-
[tex](x+3)(x) < =50\\\\x^{2} +3x-50 < =0\\\\x^{2} +3x-50=0\\\\x = \frac{-3 +\sqrt{9+4*50} }{2} ,\frac{-3 -\sqrt{9+4*50} }{2}\\\\x = \frac{-3 +\sqrt{209} }{2} ,\frac{-3 -\sqrt{209} }{2}\\\\\\x = -8.728, 5.728\\\\x =[-8.728, 5.728][/tex]
But, x cannot be negative so x lies in [0, 5.728].
Learn more about quadratic formula here
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The population of weights of a particular fruit is normally distributed, with a mean of 464 grams and a standard deviation of 6 grams. If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams?
Answer:
If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Step-by-step explanation:
Mean = [tex]\mu = 464[/tex]
Standard deviation =[tex]\sigma = 6[/tex]
We are supposed to find If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than how many grams i.e.P(X>x)=0.02
The mean weight is in the highest 2%, you want to go to a z-table and find the z-score that where the area to the left of the curve is closest to 0.98.
n = 27
Refer the z -table
P(Z>x)=2.06
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}=2.06\\\frac{x-464}{\frac{6}{\sqrt{27}}}=2.06\\x-464=2.06 \times \frac{6}{\sqrt{27}}\\x=(2.06 \times \frac{6}{\sqrt{27}})+464\\x=466.37[/tex]
So, If 27 fruits are picked at random, then 2% of the time, their mean weight will be greater than 466.37 grams
Three Rivers publishes a catalog each year, last year it had 198 pages back and front. We
print 150 copies. How much does it cost the college if a ream, 500 pages, cost
$7.40 each?
Answer:
$222
Step-by-step explanation:
We need to find how many ream was used in the printing forts, to determine how much the College spent.
The catalog is 198 pages, back and front, which means, 1 leaf will take 2 pages. Therefore, 99 pages were used in printing 1 copy of the catalog.
No of pages that were used in printing 150 copies = 150*99 = 14,850 pages.
If 500 pages = 1 realm, therefore,
14,850 pages = 14,850/500 = 29.7.
Since, it's a full team that is sold, let's approximate the number of reams bought to be 30 reams.
If 1 ream costs $7.40, therefore,
30 reams = 30*7.40 = $222
What is the slope of the line shown below? 1/6 -5/-7
Answer: C. 13/6
Step-by-step explanation:
The slope is always rise over run. So when going from the coordinate (-5,-7) to the coordinate (1,6) we go up 13 then go to the right 6. And since we went up and to the right it is a positive slope.
Triangle BIG is similar to triangle MOP . Find v .
Answer:
63:42
so this is
3:2
[tex] \frac{33}{3} = \frac{v}{2} [/tex]
[tex]v = \frac{2 \times 33}{3} = \frac{66}{3} = 22[/tex]
v=22
The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Calculation of the value of v:Since as per both the figures we can write the ratio like 63:42 so it can be like 3:2
So the calculation could be done below
[tex]33 \div 3 = v \div 2\\\\v = 2 \times 33 \div 3\\\\= 66 \div 3[/tex]
= 22
Hence, The value of v should be considered as the 22 when the Triangle BIG is similar to triangle MOP.
Learn more about triangle here: https://brainly.com/question/9721655
Jordan says that 6 ÷ 1/2 =3. Is he correct
Answer:
No it is 12
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
6 ÷ 1/2 = 12
(1/2 = 0.5)
6 ÷ 0.5 = 12
Check you answer.
0.5 x 12 = 6
So Jordan is incorrect.
The correct answer is 12
Hope this helped :)
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PLEASE HELP MATH!!!1
What is the image point of (-8, 7) after a translation right 5 units and up 5 units?
Answer:
-11,11
Step-by-step explanation:
JUst add 5 to both.
Hey guys I need help. Care to be kind? :(
9514 1404 393
Answer:
$77.94
Step-by-step explanation:
The (signed) sum of charges and credits results in the total due:
$82.04 -4.10 = $77.94 . . . amount due
