Answer:
hope it help u
Step-by-step explanation:
2sinx/(2cosx – secx)
=2 sinx/(2cosx–1/cosx)
as secx = 1/ cosx
multiplying both the denominator and numerator by cost,we get
2sinxcosx/( 2cos^2x –1) =cos2x
since,2sinxcosx = sin2x and 2cos^2 –1=cos2x
2sinxcosx/(2cos^2x– 1)= sin2x/ cos2x = tan2x
I need help in geometry
Answer:
15
Step-by-step explanation:
AC is the entire line segment.
AB and BC together make AC.
⇒ AB + BC = AC
⇒ [tex](2x+2)+(3x+6)=23[/tex]
Open the parentheses
[tex]2x+2+3x+6=23[/tex]
Combine like terms
[tex]5x+8=23\\5x=15\\x=3[/tex]
Therefore, x=3. Plug this into 3x+6 to find BC:
[tex]3x+6\\= 3(3)+6\\=9+6\\=15[/tex]
Therefore, BC is 15.
I hope this helps!
The price of an item is 33.10 You give the cashier two $20 bills. What is the change?
Answer:
answer) the change is $7.90
19 of 25 QID: 94600
For the function f(x) = x2 + 4, identify the values of f(0), f(1/2), and f(−1).
0; 19/4; 5
0; 19/4; 3
4; 17/4; 5
4; 17/4; 3
Answer:
4; 17/4; 5
Step-by-step explanation:
For f(0)
Replace all x to 0:
f(0)=0^2+4
4
For f(1/2)
1/2^2+4
Which is 17/4
For f(-1)
-1^2+4
Which is 5
Hope this helps!
6 times the sum of z and 5
Answer:
5
⋅
(
n
+
1
)
Explanation:
To write Five times the sum of a number and one you first make "a number" into a variable. In this case let's call it
n
.
Next let's create the sum of a number and one. This would be:
n
+
1
.
Then to get five times this number we need to multiple this expression by five to get:
5
⋅
(
n
+
1
)
Step-by-step explanation:
A. Tai, Jorge,mike Gwen
B. Gwen, Jorge, mike, tai
C. Tai, mike, Gwen, Jorge
D. Gwen, mike, Jorge, tai
What are the domain and range of f(x) = 2(3X)?
domain: (-00,00); range (0,00)
O domain: (-00,00); range: (2,00)
domain: (0,0); range: (-0,0)
domain: (2.00); range: (-00,00)
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](0,\infty)[/tex]
==============================================================
Explanation:
I'm assuming the function is [tex]f(x) = 2(3)^x[/tex] which is an exponential function.
The domain of any exponential function is the set of real numbers. In interval notation, the domain is [tex](-\infty, \infty)[/tex] which says we can pick any number between negative infinity and positive infinity: aka any number we want. There are no restrictions to worry about such as division by zero errors.
The range of this exponential function is the set of y values such that y > 0. It often helps to see the graph of what is going on (see below). Note how as x heads to the left, and gets more negative, the curve approaches the x axis. It never actually touches it however. So it will never reach y = 0 itself but instead just get very close. The inequality y > 0 translates to the interval notation [tex](0,\infty)[/tex]
----------
Summary:
Domain: [tex](-\infty,\infty)[/tex]; Range: [tex](0,\infty)[/tex]
So that's why the answer is choice A
The domain and range of the function f(x) are (-∞, ∞) and (-∞, ∞) respectively.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 2(3x) can be simplified to f(x) = 6x.
The domain of a function is the set of all possible input values for x, while the range is the set of all possible output values for f(x).
Since there are no restrictions on the value of x that can be plugged into the function, the domain of f(x) is all real numbers, or (-∞, ∞).
To find the range, we can look at the behavior of the function as x varies. As x increases or decreases, the value of f(x) also increases or decreases, respectively, at a rate of 6 times the rate of change of x.
Therefore, the range of f(x) is also all real numbers, or (-∞, ∞).
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100 students are interviewed to see which of biology, chemistry or physics they prefer. 29 of the students are girls. 9 of the girls like biology best. 20 of the boys prefer physics. 9 out of the 27 who prefer chemistry are girls. What percentage of the students prefer biology?
Help would be highly appreciated! <3
Answer:
42%
first we find the totals of each gender which was indicated that there are 29 girls in total ...making it 71 boys there to make100 students .
then it is shown that 9 girls like biology and boys ...anon
20 boys prefer physics and out of the 29 students who like chemistry ..18 are boys which now gives us 38 boys out of 71 .
to get the boys who like biology u subtract 38 from their total which is 71 to get 33.
33 + 9 = 42
42/100 = 42%
hewo um what is 1804 divided by 12 and has anyone seen my hacker friend.
Answer:
150.333
Step-by-step explanation:
The three is repeated
2 2. Solve. Show your work. Harry can swim 20 laps in a pool in 18 minutes (swimming at a constant speed). How many laps could he swim in 45 minutes? (Swimming with the same speed.)
Answer:
there will be 50 laps in 45 minutes.
Step-by-step explanation:
Laps in 18 minutes=20
Caculate laps for 1 minute:
Laps in 1 minute=20/18
Now ,calculate laps for 45 minutes:
Laps in 45 minutes=20/18 × 45
= 50
Note: if you have any question about it you can ask.Thanks
What symbol is used to show that two figures are congruent ?
Answer:
~
=
Step-by-step explanation:
The second angle in a triangle is 3 degrees less than twice the first angle. The third angle measures 8 degrees more than twice the first angle. FInd each angle
man this math sucks i have no idea i need points tho
Convert 402.12 to a fraction
Answer:
40212/100
Step-by-step explanation:
To write 402.12 as a fraction you have to write 402.12 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
402.12 = 402.12/1 = 4021.2/10 = 40212/100
And finally we have:
402.12 as a fraction equals 40212/100
answer:
[tex]\frac{10053}{25}[/tex]
first, you would convert 402.12 to a mixed number by placing the numbers to the right of the decimal over 100. and then reduce the fraction.
you would get [tex]402\frac{3}{25}[/tex]
convert the mixed number to an improper fraction:
25×402+3=10053
and lastly, place your new numerator over the original denominator:
[tex]\frac{10053}{25}[/tex]
(5x² +7xy+10y²) (5x-7y)
I dont even know anything about math
Solve for h in the equation 15-2h=6
Answer:
-2h =6-15
-2h =-9
h=-9/-2
h=4.5
Step-by-step explanation:
please follow meGiven 12 consecutive integers, how many ways can three of these integers be selected to give a sum which divides by 4.
Disclaimer: A lot of points to be given, Full explanation required. Not only answer.
[tex]\\ \rm\longmapsto ^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]
[tex]\\ \rm\longmapsto ^{12}C_3[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(12-3)!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12!}{3!(9!)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{12(11)(10)(9!)}{3!(9!)}[/tex]
cancel 9![tex]\\ \rm\longmapsto \dfrac{12(11)(10)}{3!}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{3(2)(1)}[/tex]
[tex]\\ \rm\longmapsto \dfrac{1320}{6}[/tex]
[tex]\\ \rm\longmapsto 220[/tex]
Gary rents three DVDs each week at Fantastik Flicks. Write an algebraic expression for Wn, the total number of points earned in the nth week
For the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
Your question is not complete, it seems it is missing the following information below;
DVD rentals: 1 2 3
Total DVD points: 3 5 7
The number of points earned is a function of number of DVD rentals.
For the first DVD, the number of points earned;
[tex]n_1 = p_1 + c\\\\where;\\c \ is \ the \ constant \ point \ earned[/tex]
3 = 1 + c
3- 1 = c
2 = c
For nth week the total point earned is given as;
[tex]n_t_h = p_n + c\\\\n_t_h = p_n + 2[/tex]
Thus, for the nth week, the total points earned in the DVD rentals is [tex]p_n + 2[/tex]
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Here we have a problem with arithmetic sequences.
After a small online search, I've found that:
Fantastik Flicks gives: 3 points for the first rental, 5 points for the second rental, 7 points for the third rental
And so on.
We will find that the total of points in the n-th week is given by:
Wₙ = 15 + (n - 1)*18
Looking at the number of points given for each rental, we can see that we have an arithmetic sequence with an increase of 2, 3, 5, 7, 9, 11, 13, 15,...
We want to find the total of points earned in each week. For example, for the first week the total of points is: W₁ = (3 + 5 + 7) = 15
For the second week, the total of points is: W₂ = (9 + 11 + 13) = 33
For the third week, the total number of points is: W₃ = (15 + 17 + 19) = 51
Now let's see if Wₙ also is arithmetic. To see this, we need to look at the difference between consecutive elements of Wₙ.
W₂ - W₁ = 33 - 15 = 18
W₃ - W₂ = 51 - 33 = 18
So in both cases we got the same difference, this makes a lot of sense, taking in account that we construct the Wₙ with an arithmetic sequence, so is logical that the sequence {Wₙ} is also arithmetical.
Now that we know this, we can see that in the n-th week, the total of points will be: Wₙ = W₁ + (n - 1)*18Wₙ = 15 + (n - 1)*18
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help please!!!!!!!!!!!!!! im bad at math
Answer:
[tex]thank \: you[/tex]
Answer:
5k 1/2
Step-by-step explanation:
here you go!!!!!!!!!!!!!!
(7x2 - 2x - 5)(3x2 + 2x - 3)
Step-by-step explanation:
I think this answer will be correct
Can someone give me the answer.
Answer:
1 inch
Step-by-step explanation:
Basically cause both b and c tend to form an equidistant triangle which makes them have the same distance
A swimming pool is 50 m long and 25 m wide. It is 1.2 m deep at shallow end and 2 m deep at the other end.
Answer:
the answer is in picture
There are 6 rental cars available for 18 riders, each holding either 2 or 4 riders. how many rental cars hold exactly 2 riders?
Answer:
Cars for 2 riders are 3
Step-by-step explanation:
I. When total riders is 18
4(3) = 12 => Cars for 4 riders
2(3) = 6 => Cars for 2 riders
Got more question or something to discuss, leave comment below
8,760 divided by 96 with a perfect explanation that is perfectly clear step by step
Answer:
91,25
Step-by-step explanation:
the step by step is on the picture! :)
if BC = 6x-16 and CD = 4x + 10, then x = ?
Answer:
13
Step-by-step explanation:
BC and CD are equal, so both equations will equal eachother.
6x - 16 = 4x + 10
+16 +16
------------------------
6x = 4x +26
-4x -4x
------------------------
2x = 26
---- -----
2 2
x = 13
Hope this helped.
name two pairs of congruent angles in the figure. Justify the answer. help please!
Answer: a. <aib & <bic
Step-by-step explanation: because those two angles are both 45 degrees, meaning they are congruent.
In the given options, there are two pairs of congruent angles in the figure. They are ∠AIB and ∠BIC according to the Equal Complements Theorem. ;∠AIC and ∠BID according to the Right Angles Congruent Theorem. Option a and c is the correct answer.
Congruent angles are angles that have the same measure. In other words, if two angles are congruent, it means that they have the same degree of rotation or the same amount of opening between their sides. Option a and c is the correct answer.
1. ∠AIB and ∠BIC according to the Equal Complements Theorem. The Equal Complements Theorem states that if two angles are complementary to the same angle (or congruent angles), then they are congruent to each other. In the figure, both ∠AIB and ∠BIC are complementary to angle ∠BIC. Therefore, according to the Equal Complements Theorem, ∠AIB and ∠BIC are congruent angles.
2. ∠AIC and ∠BID according to the Right Angles Congruent Theorem. The Right Angles Congruent Theorem states that all right angles are congruent. In the figure, both ∠AIC and ∠BID are right angles. Therefore, according to the Right Angles Congruent Theorem, ∠AIC and ∠BID are congruent angles. Therefore, the correct pairs of congruent angles in the figure are ∠AIB and ∠BIC, as well as ∠AIC and ∠BID.
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f(x)= −x^2 + x + 14 Find f(2)
Answer:
f(2) = 12
Step-by-step explanation:
f(x = −x^2 + x + 14
Plug in:
f(x) = −2^2 + 2 + 14
Solve:
f(x) = −2^2 + 2 + 14
f(x) = -4 + 2 + 14
f(x) = -2 + 14
f(x) = 12
Hope this helped.
Answer:
20
substitute x for 2 in the equation
f(2)= (-2)^2 + 2 + 14
= 4+2+14
= 20
Please help by September 7th
Answer:
Q1: 14
Q2:Yes
Step-by-step explanation:
Q1: 172.5-25.5=147
147/10.5=14
Q2: 22.50+10%=24.75
24.75-20%=19.8
Is 2πr (2r+√(h^2+4r^2 ) ) over πr(r+√(h^2+r^2 )) a simplified algebraic ratio?
Answer : 1+1 = 11
22+22 = 2222
What is the value of X?
Answer:
5 * sqrt(3)
Step-by-step explanation:
The sine of 60 degrees is equal to x/10 because x is opposite to it and 10 is the hypotenuse. Since the sine of 60 degrees is equal to sqrt(3)/2, sqrt(3)/2 = x/10. Because 5sqrt(3)/10 = sqrt(3)/2, 5sqrt(3)/10 = x/10 and therefore 5sqrt(3) = x.
The first flock contained 5283 birds . The second contained 5 times as many birds the third flock had twice as many birds as the second flock . How many birds were there in all?
Answer:
84528 birds
Step-by-step explanation:
number of birds in the 2nd flock = 5283 * 5 = 26415
number of birds in the 3rd flock = 26415 * 2 = 52830
total = 5283 + 26415 + 52830 = 84528
a) The bus fare of 8 passengers is Rs 640. If the fare is decreased by Rs 5 per passenger, how many passengers can travel for Rs 900?
Answer:
THE ANSWER IS 12 because :
640÷8=80
80-5=75
900÷75=12.
Total 12 passenger can travel for, Rs900.
What is ratio?Ratio basically compares quantities, that means it shows the value of one quantity with respect to the other quantity.
If a and b are two values, their ratio will be a:b,
Given that,
Fare of 8 passengers = Rs640
Therefore, fare of 1 passenger = 640/8 = Rs80
Since, the fare is decreased by Rs5 per passenger,
Therefore, new fare = 80 - 5 = Rs75
The number of passengers that can travel for, Rs900
= 900/75
= 12
Total 12 passenger can travel for, Rs900.
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