9514 1404 393
Answer:
22. E
23. C
Step-by-step explanation:
These questions are asking you to make use of a couple of trig identities for converting products to sums.
sin(x)cos(y) = 1/2(sin(x+y) +sin(x -y))
cos(x)cos(y) = 1/2(cos(x+y) +cos(x -y))
sin(-x) = -sin(x)
cos(-x) = cos(x)
__
22. sin(2β/3)cos(4β/3) = (1/2)(sin((2+4)β/3) +sin((2-4)β/3))
= 1/2sin(2β) +1/2sin(-2β/3) = 1/2sin(2β) -1/2sin(2β/3)
__
23. cos(3θ)cos(5θ) = (1/2)(cos(3θ+5θ) +cos(3θ -5θ)) = 1/2cos(8θ)+1/2cos(2θ)
Which of these expressions is in the simplified form?
Answer:
C!
Step-by-step explanation:
A) can be simplified into -> (x ([tex]\sqrt{3}[/tex] * x - 3*[tex]\sqrt{3y}[/tex])/3)
B) Can be simplified into ([tex]\sqrt{2x}[/tex]/2) + ([tex]\sqrt{2z}[/tex]/2)
D) Can be simplified into 5*[tex]\sqrt{5x}[/tex] - x^2
Therefore, C is the correct answer because it cannot be simplified any further!
Hope this makes sense!!!!
Please give brainliest answer! I wasited for you to delete the answer!
log 3x^3-log x^2= log 27 - log x
Answer:
First of all, this equation is defined on ]3,+∞[ because you need x+3>0 and x−3>0 at the same time or the log won't be defined.
The log function maps a sum into a product, hence log(x+3)+log(x−3)=27⇔log[(x+3)(x−3)]=log27.
You now apply the exponential function on both sides of the equation : log[(x+3)(x−3)]=log27⇔(x+3)(x−3)=27⇔x2−9=27⇔x2−36=30. This is a quadratic equation that has 2 real roots because Δ=−4⋅(−36)=144>0
You know apply the quadratic formula x=−b±√Δ2a with a=1 and b=0, hence the 2 solutions of this equation : x=±6
−6∉]3,+∞[ so we can't keep this one. The only solution is x=6.
Step-by-step explanation:
I THINK IT HELP U
The product of 2 and a number x is 3/4
What is the value of x?
A. x=5/4
B. x=3/8
C. x= 1 1/4
D. x=3/2
Answer:
[tex]2 \times x = \frac{3}{4} \\ \\ 2x = \frac{3}{4} [/tex]
divide either sides by 2 :
[tex]x = \frac{3}{4} \div 2 \\ \\ x = \frac{3}{4 \times 2} \\ \\ { \boxed{ \boxed{x = \frac{3}{8} }}}[/tex]
300 cubic inches to cubic centimeters?
Answer:
I guess it would help you ✌
Answer:762 cm
Step-by-step explanation:
There is 2.54cm in an inch so multiply it by 300
A golfers score after playing on friday was +2
The end of his round on Saturday was a -5, and the end of his round on Sunday was a 0.
6. (1 + x) (1 + x²) (1 +x^4) (1 + x^8) (1 – x)
(a) 1 + x^16
(b) 1 - x^16
(c) x^16 - 1
(d) x^8 + 1
a bakery sells 17 cups of coffee for every 3 cups of hot chocolate they sell. At the end of the day the bakery sold 406 more coffee than hot chocolates. How many of the two drinks did they sell in all?
Answer:
Step-by-step explanation:
(a) If ε = {s, p, I, e, n, d, o, u, r},
X= {s, p, e, n, d)
Y= s, e, n, 0, 1}
Z = {p, n, o, u, r}
Find X n (Y'UZ).
(b) Given that for sets A and B in a universal set E, ACB, find An(An B)'.
Answer:
TEXT your teacher
Step-by-step explanation:
Please and thank you and show work this question is a big chunk of my final grade
Answer:
9
Step-by-step explanation:
The trinomial square have the following form:
(a - b)²
Expanding this, the result is:
a² -2ab +b²
So, let's put x in place of a and solve it:
x² -2•x•b + b²
Now, we know that initially -2•x•b was -6x in the given trinomial square, so let's find the value of b using an equation:
-2x•b = -6x divide both sides by -2x:
b = -3
So -3 complete our trinomial square, and it is:
(x -3)²
Expanding:
x² -6x +9
If f(x)= 2|x|+3x, then the value of f(-1) is
Answer:
-1
Step-by-step explanation:
f(-1) = 2|-1| + 3(-1)
|-1| = 1
=> f(-1) = 2(1) - 3
=> f(-1) = 2 - 3
=> f(-1) = -1
Find the area of the triangle.
A. 15.3 cm²
B. 12.9 cm²
C. 16.8 cm²
D. 25.7 cm²
Option B. 12.9 cm²
Solution
h =Sin(40)*8
S = h*5/2 = 12.85>>12.9 cm2
How do you find the area of the triangle?The area of a triangle can be calculated from the base and height of the triangle. The basic formula for calculating the area is the area of the triangle = 1/2 (base x height). In other scenarios, if you know the other parameters, use the following formula to find the area of the triangle.
The area of a triangle is the space surrounded by the three sides of the triangle. It is calculated using various formulas depending on the type of triangle and is expressed in squares such as cm2 and inches2.
Learn more about triangle at
https://brainly.com/question/17335144
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Solve 1/3 (3x + 6) + 2x = 26
Answer: x = 8
Step-by-step explanation:
Given
(1/3) (3x + 6) + 2x = 26
Expand parentheses and apply the distributive property
(1/3) · 3x + (1/3) · 6 + 2x = 26
x + 2 + 2x = 26
Combine like terms
(x + 2x) + 2 = 26
3x + 2 = 26
Subtract 2 on both sides
3x + 2 - 2 = 26 - 2
3x = 24
Divide 3 on both sides
3x / 3 = 24 / 3
[tex]\boxed{x=8}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
HELP PLEASE DUE TOMORROW
Answer:
Step-by-step explanation:
first one: 1/4
second one: 1/4
last one: 1/4
8 divided by 2=4 and 4 becmes the denominator
the answer is basicallly 1/4
What grade is this btw
What percent of 80 is 36? Round to the
ponearest tenth of a percent, if necessary.
B. 44.4%
A. 40%
C. 45%
D. 48%
Answer:
C. 45%
Step-by-step explanation:
Divide 36 by 80 to get 0.45 (45%)
Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. The temperatures of eight different plastic spheres.
The level of measurement that is most appropriate for the temperatures of eight different plastic spheres is the interval scale.
An interval scale shows magnitude and order. It shows numerical difference between values on same scale which are distinguished and are equal.
One common property of the interval scale is that it has an arbitrary zero point which is perfectly exhibited by the temperature measurement. This implies that the scale of measurement has no zero point because zero on the Centigrade scale is 32 degrees on the Fahrenheit scale.
Therefore, temperature measurement of eight different spheres can be regarded as an interval scale.
Learn more about interval scale here:
https://brainly.com/question/24260284
Select the correct answer. The function g(x) = x2 is transformed to obtain function h: h(x) = g(x) − 5. Which statement describes how the graph of h is different from the graph of g? A. The graph of h is the graph of g horizontally shifted right 5 units. B. The graph of h is the graph of g horizontally shifted left 5 units. C. The graph of h is the graph of g vertically shifted up 5 units. D. The graph of h is the graph of g vertically shifted down 5 units.
Answer:
D. The graph of h is the graph of g vertically shifted down 5 units.
Step-by-step explanation:
I assume
g(x) = x²
h(x) = g(x) - 5 = x² - 5
Escribe ordenadamente cinco números enteros que sean mayores que -2, con el signo adecuado
Answer:
-1, 0, 1, 2, 3
Step-by-step explanation:
Los números son mayores a medida que se mueven hacia la izquierda de la recta numérica, por lo que retrocederá desde -2
There are □ terms in the sequence 1,2,2
There are exactly 81 terms in the sequence.
Start counting with 1 (like non-computer people).
First term is [tex]1=2^0[/tex].
Second term is [tex]2=2^1[/tex].
Third term is [tex]2^2[/tex].
Fourth term is [tex]2^3[/tex].
In general the i-th term is [tex]2^{i - 1}[/tex].
Hope this helps :)
evaluate f(x)=-2x²+4x-2 find f(-2)
Answer:
-2
Step-by-step explanation:
If f(x) = 2x² + 4x - 2
f(-2) = 2(-2)² + 4(-2) - 2
f(-2) = 2(4) + 4(-2) - 2
f(-2) = 8 - 8 - 2
f(-2) = -2
Answer:
It is -18
Step-by-step explanation:
[tex]f(x) = - 2 {x}^{2} + 4x - 2[/tex]
when x is -2, f(x) is f(-2):
[tex]f( - 2) = - 2 {( - 2)}^{2} + 4( - 2) - 2 \\ \\ f( - 2) = - 8 - 8 - 2 \\ \\ f( - 2) = - 18[/tex]
describe the rule for 1;3;6;10;15
Answer:
add 2, add 3, add 4, add 5
Step-by-step explanation:
1+*2=3,3+*3=6,6+*4=10,10+*5=15
The distance that John covers each day during his morning walks is given in the graph. Using my this information, predict the distance that John may cover on day 6
A: 5.2 miles
B: 4.2 miles
C: 3.2 miles
D: 2.2 miles
John may cover 2.2 miles on day 6.
The correct answer is option (D)
What is graph?"It is a pictorial representation of data in an organized manner. "
For given question,
The distance that John covers each day during his morning walks is given in the graph.
From the graph we can observe that the highest value on the graph is 4.
Also the data is symmetrical on the left side and on the right side of the highest value.
We need to predict the distance that John may cover on day 6.
It must be the same as it is at day = 0
At day = 0, the distance is 2.2 miles.
Therefore, John may cover 2.2 miles on day 6.
The correct answer is option (D)
Learn more about prediction from the graph here:
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A chemist is using 332 milliliters of solution of acid and water. If 13.7% of the solution is acid, how many milliliters of acid are there? Round your answer to the nearest tenth.
Answer:
45.5 milliliters
Step-by-step explanation:
We know that the chemist has 332 milliliters of the solution of acid and water, and 13.7% of that solution is acid.
We can then persume that the amount of acid in the solution is equal to 332ml × 13.7%.
This is equal to 45.484ml.
Then the question states to round the answer to the nearest tenth.
Rounding 45.484ml to the nearest tenth (.1) will equal to 45.5ml.
Therefore, there are 45.5ml of acid in the solution rounded to the nearest tenth.
Is (6,0) a solution of 5x-y=9?
Answer:
No
Step-by-step explanation:
5(6)-(0)≠95(6)-(0)=30make r the subject in the relation; rv= h
Answer:
step by step
take v to divide
r=h/v
Given the explicit formula for an arithmetic sequence find the term
named in the problem. *
an = 21 + (n − 1) • 45
Find a38
Answer:
Step-by-step explanation:
n = 38
a38 = 21 + (38 - 1)*45
a38 = 21 + 37*45
a38 = 21 + 1665
a38 = 1686
What is the sum of -14
and -15?
Answer:
-29
Step-by-step explanation:
(-14) + (-15) =
-14 - 15 =
-29
Evaluate m + 7.5 , when m = 8.6
Hi :)
m is a variable
m is defined as 8.6
substitued m
8.6 + 7.5 = 16.1
Answer:
m+7.5 = ? when m = 8.6
Sub 8.6 in equation for m and you get
8.6 + 7.5 = 16.1
Step-by-step explanation:
Find the difference.
0-(-6) =
Answer:
6
Step-by-step explanation:
If you mean 0-(-6) that's mean 0+6 and the answer will be 6
and if you mean 6-(-0) it's also 6
What is 3 ¹/₂ 4 ²/₃
______ + ______ = ?
5 2
Answer:
49 < 52
Step-by-step explanation:
3½ + 4⅔ = 52
convert the mixed fraction to improper fraction
7/2 + 14/3 = 52 LCM=6
multiply yhrough by the LCM
(7/2)*6 +(14/3)*6 = 52
21 + 28 = 52
49 < 52
9514 1404 393
Answer:
3 1/30
Step-by-step explanation:
Maybe you want to find ...
[tex]\dfrac{3\frac{1}{2}}{5}+\dfrac{4\frac{2}{3}}{2}=\dfrac{7}{2\cdot5}+\dfrac{14}{3\cdot2}\\\\=\dfrac{7\cdot3}{2\cdot3\cdot5}+\dfrac{14\cdot5}{2\cdot3\cdot5}=\dfrac{21+70}{30}=\dfrac{91}{30}=\boxed{3\frac{1}{30}}[/tex]
D=2/3(F+G). Solve for G
Answer:
[tex]D = \frac{2}{3} (F+ G) \\ F + G = D \div \frac{2}{3} \\ \\ F+ G = D \times \frac{3}{2} \\ \\ F +G = \frac{3D}{2} \\ \\ G = \frac{3D}{2} - F[/tex]
I hope I helped you^_^