Simplify the given expression
sin(3x)cos(8x)-sin(8x)cos(3x)
Answer:
Step-by-step explanation:
sin A cos B-cos A sin B=sin (A-B)
sin (3x)cos (8x)-cos (3x)sin (8x)=sin (3x-8x)=sin (-5x)=-sin (5x)
Twenty more than four times a number is equal to the difference between −71 and three times the number. Find the number.
4x + 20 = - 71 - ( 3x )
4x + 20 = - 3x - 71
Subtract sides minus 20
4x + 20 - 20 = - 3x - 71 - 20
4x = - 3x - 91
Add sides 3x
4x + 3x = - 3x + 3x - 91
7x = - 91
Divide sides by 7
7x / 7 = - 91 / 7
Simplification
x = - 13
Thus the number is ( - 13 ) .
of the marbles in a bag 5 are red 4 are yellow and 4 are blue Sandra will randomly choose one marble from the bag fill in the blanks and parts A and B
A: the probability that Sandra will choose a Blue marble from the bag is ___ out of ____ or blank / blank
B: it is _____ that Sandra will choose a Blue marble from the bag.
***for part B: answer unlikely, impossible, certain,likely
Answer:
A. 4/13
B. Likely.
please help me with my last answer im stuck
9514 1404 393
Answer:
the correct choice (A) is marked
Step-by-step explanation:
The function g(x) is translated 3 right and 1 down from f(x).
The transformation ...
g(x) = f(x -h) +k . . . . . . translates h right and k up
For your translation, you have (h, k) = (3, -1). Putting those into the transformation model above gives ...
g(x) = (x -3)² -1 . . . . matches choice A
PLEASE HELP!!
Rita and her two children live in subsidized housing and pay monthly rent of $230. The cost of heating
is included in the rent. The electric bill averages $56 a month while the water and sewage bill averages
$35 for every 3 months of use. Telephone costs average $19.50 a month. Rita carries no renters
insurance on her personal property. What is Rita's total annual cost of renting?
Answer:
$3806
Step-by-step explanation:
230.0
56.0
+ 19.50
305.50
305.5x12=3666
35x4=140
3666+140=3806
hello guys
can you tell me what does this ^ mean in math?
Answer:
It means there is an exponent
Step-by-step explanation:
Madison will use a 1/5 gallon pitcher to fill an empty 7/8 gallon jug for her lemonade stand. How much lemonade will she need to fill the jug?
1.Between 2 and 3
2.Between 3 and 4
3.Between 4 and 5
4.Between 5 and 6
Commute times in the U.S. are heavily skewed to the right. We select a
Type numbers in the boxes.
random sample of 220 people from the 2000 U.S. Census who reported a non- 10 points
zero commute time.
In this sample the mean commute time is 28.3 minutes with a standard deviation of 19.2 minutes.
Can we conclude from this data that the mean commute time in the U.S. is less than half an hour?
Conduct a hypothesis test at the 5% level of significance.
What is the p-value for this hypothesis test?
Your answer should be rounded to 4 decimal places.
Help me please answer
Answer:
Volume of cone = 90 ft³
Step-by-step explanation:
diameter of cone = 6ft
radius of cone = 3ft
height = 10ft
Volume of cone = [tex]\frac{\pi r^2h}{3}[/tex]
V = (3 × 3 × 3 × 10)/3
V = 270/3
V = 90 ft³
In which interval is the median age?
Choose 1 answer:
Answer:
Its C i believe correct me if im wrong
Answer:
its 5-10
Step-by-step explanation:
did the quiz
plz answer this question and while answering the question plz DONT put links in
Determine the equation of a circle with center at (8, 10) and radius is 6
There was a triangle ABC with sides 15, 20, and 10. One of the sides of a triangle, which is similiar to ABC is 60. What are the two other sides? Note: Give all possible answers
Answer:
The possible pairs of sides are 90 and 120, 30 and 45, and 80 and 40.
Step-by-step explanation:
We know that 60 is a multiple of 15, 20, and 30, so we multiply by each factor to find all possible pairs: 10x6=60, 20x6=120, and 15x6=90, that gives your first pair, 90 and 120.
We have now multiplied our first factor, 6. Now we need to multiply our second factor, 3: 20x3=60, 15x3=45, and 10x3=30. That gives your second pair, 30 and 45.
Finally, we need to multiply by our 3rd factor, 4: 15x4=60, 20x4=80, and 10x4=40. That gives you your final possible pair, 80 and 40.
I hope this helps :-)
You select a marble at random and then put it back. If you do this 8 times, what is the best prediction possible for the number of times you will pick a red marble? A)1/8
B)2/4 C)2/5 D) 3/11
Answer:
i think its b but I'm not exactly sure i have to check again
Step-by-step explanation:
which one?
9kv
1/2(k+9)(v)
v(k) + 1/2v (9)
v+k+9+9+k
Answer:
the third one
Step-by-step explanation:
v×k + 1/2v×9
pls help pls and i will mark u as brainliest plss
Answer:
30 km
Step-by-step explanation:
150-120=30 km that means you subtract because it says "how far" which means subtract
The perimeter of a rectangular garden is 44 meters. The length of the rectangle is 5 less than twice the width. Find the length and width of the rectangle.
please helppp
9514 1404 393
Answer:
width: 9 mlength: 13 mStep-by-step explanation:
Let w represent the width. Then the length is 2w-5, and the perimeter is ...
P = 2(L+W)
44 = 2((2w-5) +w)
44 = 6w -10
54 = 6w
9 = w
2(9) -5 = 13 = length
The length of the rectangle is 13 meters; the width is 9 meters.
PLEASE HELP
Select all of the expressions that are less than 10 2/3.
A.
10 2/3 × 9/10
B.
1 × 10 2/3
C.
10 2/3 × 2 1/3
D.
1/8 × 10 2/3
E.
10 2/3 × 3/5
Answer:
A, D, E
Step-by-step explanation:
A) 32/3 x 9/10 = 96/10 = 9.6
D) 1/8 x 32/3 = 4/3 = 1.33
E) 2/3 x 3/5 = 2/5 = 0.4
Which expression is equivalent to square root a^7
Answer is d
Step-by-step explanation:
If you multiply a^6 and a it equals a^7
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP EXTRA POINTS AND BRAINLIEST! IMAGE ATTACHED! ANSWER ALL BOXES! PLEASE EXPLAIN!
Answer:
Step-by-step explanation:
graph_1 and graph_2 are for this task
graph_3 is for previous task.
Figure WXYZ is a rectangle. What are the
coordinates of point W?
Answer:
(2,9)
Step-by-step explanation:
Answer:
(2,9)
Step-by-step explanation:
because you move up by 6. which makes it (2,3)+6
does anyone want to HELP me please
Answer:
x = 12
Step-by-step explanation:
We will be using pythagoras theorem.
Therefore, we will have: [tex]a^{2}[/tex] + [tex]x^{2}[/tex] = [tex]13^{2}[/tex]
Moreover, we have: [tex]a^{2}[/tex] = [tex]4^{2} + 3^{2}[/tex] => [tex]a^{2}[/tex] = 25
=> 25 + [tex]x^{2}[/tex] = 169
=> [tex]x^{2}[/tex] = 144 => x = [tex]\sqrt{144}[/tex] = 12
Indicate which formula you would use to solve for the missing side B and then write your answer correct to two decimal places.Write only the formula down.. Single line text.
Answer:
The measure of the angle [tex]b[/tex] is approximately 44.040°.
Step-by-step explanation:
We need to apply Law of the Sine to determine the value of angle [tex]b[/tex], since the length of the side opposite to this side and another side length and its opposite angle are known. That is:
[tex]\frac{3.6}{\sin b} = \frac{5.1}{\sin 100^{\circ}}[/tex]
[tex]\sin b = \frac{3.6}{5.1}\times \sin 100^{\circ}[/tex]
[tex]b = \sin^{-1}\left(\frac{3.6}{5.1}\times \sin 100^{\circ} \right)[/tex]
[tex]b \approx 44.040^{\circ}[/tex]
The measure of the angle [tex]b[/tex] is approximately 44.040°.
FIND THE VOLUME OF THE CYLINDER TO THE NEAREST WHOLE NUMBER. USE 3.14 FOR PI. RADIUS 2 INCH height 4inch
Answer:
cylinder
Step-by-step explanation:
Answer:
Seeds- V= 50 in^3
Nuts- V= 170 in^3
Step-by-step explanation:my knowledge is by best support
The first term of an arithmetic sequence is 10 and its
common difference is -3. What is the sum of the first
10 terms of this sequence?
Please hurry! ill give brainliest
Answer:
The sum of the first ten terms is -35.
Step-by-step explanation:
The first term of an arithmetic sequence is 10, and its common difference is -3.
We want to find the sum of the first 10 terms of this sequence.
Remember that the sum for an arithmetic sequence is given by:
[tex]\displaystyle S=\frac{k}{2}\left(a+x_k\right)[/tex]
Where k is the number of terms, a is the initial/first term, and x_k is the last term.
Since our initial term is 10, a = 10.
And since we want to find the sum of the first ten terms, k = 10.
So, we will need to find the last or tenth term. We can write an explicit formula. The standard explicit formula for an arithmetic sequence is:
[tex]x_n=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
So, by substituting, we acquire:
[tex]x_n=10-3(n-1)[/tex]
Then the tenth or last term is:
[tex]x_{10}=10-3(10-1)=10-3(9)=10-27= -17[/tex]
Then the sum of the first ten terms will be:
[tex]\displaystyle S_{10}=\frac{10}{2}(10+(-17))=5(-7)=-35[/tex]
Answer:
-35
Step-by-step explanation:
[tex]a_{1}[/tex] = 10+(-3)(0) = 10
[tex]a_{10}[/tex] = 10+(-3)(9) = -17
[tex]S_{10}[/tex] = 10[(10 -17)/2] = 10(-7/2) = -70/2
write 6870628 and 18333206 to the nearest thousand
The answers are:
6,871,000
and
18,333,000
Answer:
6871000
18333000
Step-by-step explanation:
all the numbers before thousands will be zeros and the number that decide whether thousands will be added one or remains the same is the number before the thousands which is hundreds, if it's 0-4 that means the thousands remain the same at it was before and all the numbers before it become zeros, but if it's 5-9 that means thousands will be added one and all the numbers before it become zeros.
so the answer is:
6871000
18333000
What is the name for an angle pair that contains ∠a and ∠b?
Answer:
B. Same side interior angles
Step-by-step explanation:
Answer:
180
Step-by-step explanation:
linear pair. <a + <b = 180
The cost of an item is $75. What will the total cost be with 9% tax?
Answer:
81.75
Step-by-step explanation:
75*1.09 = 81.75
Answer:$81.75
Step-by-step explanation:
9% of 75 is 6.15, add that to 75 and the answer is 81.75
64th term of arithmetic sequence 29,38,47
Answer:
596
Step-by-step explanation:
Each term of the arithmetic sequence is 9 greater than the previous term.
Since the first term is 29, then 29+9 = 38, the second term in the sequence. Likewise, the third term, 47, is 9 greater than the previous term, 38. 47 is also 2(9) greater than the first term, 29.
Therefore, finding the 64th term in the sequence would be the same thing as adding 9 to the first term (29) a total of n-1, or 64-1 times. Instead of adding, one can simply multiply 29 by 63, since 64-1 = 63.
29 + 63(9)
= 29 + 567
= 596
So, the 64th term of the arithmetic sequence is 596.
At Cheng's Bike Rentals, it costs $37 to rent a bike for 8 hours.
How many hours of bike use does a customer get per dollar?
Answer Correct me if I'm wrong but I believe it is 4 dollars and 62 cents. (4.62$)
Step-by-step explanation:
