Answer:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
Step-by-step explanation:
Given
[tex]z1 = 12(cos(320^o) + isin(320^o))[/tex]
[tex]z2 = 4(cos(80^o) + isin(80^o))[/tex]
Required
[tex]Quotient = \frac{z_1}{z_2}[/tex]
We have:
[tex]Quotient = \frac{12(cos(320^o) + isin(320^o))}{4(cos(80^o) + isin(80^o))}[/tex]
Divide 12 by 4
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
Solve using the following rule:
[tex]\frac{(cos(a) + isin(a))}{(cos(b) + isin(b))} = \cos(a - b) + isin(a - b)[/tex]
So, we have:
[tex]Quotient = \frac{3(cos(320^o) + isin(320^o))}{(cos(80^o) + isin(80^o))}[/tex]
[tex]Quotient = 3(cos(320^o-80^o) + isin(320^o-80^o))[/tex]
[tex]Quotient = 3(cos(240^o) + isin(240^o))[/tex]
Hence:
[tex]\frac{z_1}{z_2} = 3(cos(240^o) + isin(240^o))[/tex]
The table shows the ages of children in the Eliason family.
A:6
B:10
C:11
D:16
Answer:
The answer is B and BTW AMC STOCKS ARE RISING
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
y : 11 = 27 : 33 what is y
9514 1404 393
Answer:
y = 9
Step-by-step explanation:
Corresponding parts of the proportion have the same ratios. We notice that 33 is 3 times 11, so 27 is 3 times y.
y = 27/3 = 9
the radius of a cylindrical construction pipe is 2 ft. If the pipe is 26 ft long, what is its volume?
Answer:
V=326.725636 or V=104[tex]\pi[/tex]
Step-by-step explanation:
V=[tex]\pi[/tex][tex]r^{2}[/tex]h
V=[tex]\pi[/tex][tex]2^{2}[/tex](26)
V=[tex]\pi[/tex]4(26)
V=326.725636
Guys please help do I multiply or divid & which number will I be diving w or multiply
Answer:
1. a) $24, b) $36, c) $48
2. a) $18, b) $27, c) $36
3. a) $1.64, b) $2.46, c) $3.28
5. a) $30, b) $50, c) $70
6. a) $4.05, b) $6.75, c) $10.80
7. a) $14.85, b) $24.75, c) $39.60
Explanations:
Whatever we multiply the item by, we multiply the cost by. If we double the number of socks, we double the price. If we triple the number of socks, we triple the price.
1. a) 3 costs $12, and 3 x 2 = 6, so we do the same to the price: $12 x 2 = $24
b) 3 times 3 is 9, so 3 x 12 gives you that cost, $36
c) 3 x 4 = 12, so 12 x 4 = $48
2. a) 3 pairs is $9, and we need 6 pairs. 3 x 2 = 6, so we also multiply the price x 2 = $18
b) 3 x 3 = 9 pairs, multiply the cost times 3 as well. 9 x 3 = $27
c) 3 x 4 = 12, multiply the cost x 4. 9 x 4 = 36
3. 4 apples cost $0.82
a) 4 x 2 = 8 apples, $0.82 x 2 = $1.64
b) 4 x 3 = 12 apples, $0.82 x 3 = $2.46
c) 4 x 4 = 16 apples, $0.82 x 4 = $3.28
---------------------------------------------
The concept is the same for all the other questions as well. Please comment below if you need a different explanation to understand this. :)
The cost of a shirt decreases by 18%. After the discount, the shirt costs $61.91. How much did the shirt cost before the
discount?
Answer:
$75.5
Step-by-step explanation:
The first step is to calculate the percentage decrease
= 100-18
= 82%
Therefore the original cost of the shirt before the discount can be calculated as follows
= 82/100 × x = 61.91
= 82x/100= 61.91
Cross multiply
82x= 100×61.91
82x= 6191
x = 6191/82
= 75.5
Hencd the original cost of the shirt is $75.5
Answer:
75.50
Step-by-step explanation:
5
Select the correct answer.
Which number has a repeating decimal form?
A. 15
OB.
11
25
3
20
C. D.
2
ODIN
Answer:
C=6.6666666666666666666666666
Answer:
[tex]D.\frac{2}{6}[/tex]
Step-by-step explanation:
√15 = 3.87298334621
11/25 = 11 ÷ 25 = 0.44
3/20 = 3 ÷ 20 = 0.15
2/6 = 2 ÷ 6 = 0.33333333333
Plz help me well mark brainliest if correct
Answer:
61 seconds
Step-by-step explanation:
Answer:
23 seconds
Step-by-step explanation:
The slowest time is 23 second and the fastest time is 61 seconds
The time before the bar is the tens place and each time after the bar is the ones place
Which symbol correctly compares the two angles? pi 3 \ 60^
Answer: =
Step-by-step explanation: just took the test
We will see that both angles are actually the same one (but in different units) so the symbol that we need to use is the equal symbol.
Which symbol correctly compares the two angles?
Here we have two angles, one in degrees and the other in radians, we want to compare them. To do it, we will need to write both of the angles in the same units.
The angles are:
pi/3 rads
60°
First, remember that:
pi rads = 180°
1 rad = (180°/pi)
With this, we can change the units of the first angle to get:
pi/3 rads = pi/3*(180°/pi) = 180°/3 = 60°
So both angles are actually the same angle, then the symbol that correctly compares them is the equal symbol.
pi/3 rads = 60°
If you want to learn more about angles, you can read:
https://brainly.com/question/17972372
A recipe calls for 5/10 kilograms of flour and 9/100 kilograms of suger if Henry measures correctly and combines the two amounts how much flour and suger will he have in all?Explain your thinking then write the answer as a decimal
PLEASE ANSWER NOW IM IN FOURTH GRADE
A company has found that for every 100 cans they have a misprint on 2 cans. if they produce 21850 cans per day how many cans should they predict to have misprint in a day
Answer:
437
Step-by-step explanation:
21850/100 * 2 = 437
Need Help With My Geometry Work Plz Help
Answer:
Step-by-step explanation:
(number of sides-2)*180 = (6-2)*180 = 720°
a= 720/6= 120°
lines form 180° angles
b= 180-120= 60°
sum of angles in a triangle is 180, and the angles are ≡
c=180/3 = 60°
c and d are supplementary angles (they add to 180)
d= 180-60 = 120°
d ≡ e+e because are vertical angles
e= 120/2 = 60°
sum of angles in a triangle is 180
f= 180 -90-60 = 30°
(number of sides-2)*180 = (5-2)*180 = 540°
g= 540/5= 108°
Which situation can be represented by the equation y = 12 x ?
Answer:
Let's solve for x.
y=12x
Step 1: Flip the equation.
12x=y
Step 2: Divide both sides by 12.
12x /12 = y /12
x= 1 /12 y
Answer: x= 1 /12 y
Step-by-step explanation: Hope this helps :D
The rate at which a chemical decomposes is increasing at a continuous 6.6 % % . What is the actual hourly percent increase
Answer:
the actual hourly percent increase is 6.823 %
Step-by-step explanation:
Given that data in the question;
rate chemical decomposes increasing continuously at 6.6 %,
r = 6.6% = 0.066
actual hourly percent increase = ?
Now,
hourly percent increase = ( [tex]e^r[/tex] - 1 ) × 100%
we substitute
hourly percent increase = ( [tex]e^{0.066[/tex] - 1 ) × 100%
hourly percent increase = ( 1.06823 - 1 ) × 100%
hourly percent increase = 0.06823 × 100%
hourly percent increase = 6.823 %
Therefore, the actual hourly percent increase is 6.823 %
The question is in the picture (Alegbra 1)
Answer:
[tex]\frac{s}{s-4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{s^2+6s}{s^2+10s+24}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ( factor and simplify fraction on left )
= [tex]\frac{s(s+6)}{(s+4)(s+6)}[/tex] ÷ [tex]\frac{s-4}{s+4}[/tex] ← cancel (s + 6) on numerator/ denominator
Leave first fraction, change division to multiplication, turn second fraction upside down
= [tex]\frac{s}{s+4}[/tex] × [tex]\frac{s+4}{s-4}[/tex] ← cancel (x + 4) on numerator/ denominator
= [tex]\frac{s}{s-4}[/tex]
How would you write5 x 5 x 5 x 5 as a numerical expression using exponential notation ?
Using the exponential notation, the correct expression which represents 5 × 5 × 5 × 5 is 5⁴
Given tha expression :
5 × 5 × 5 × 5Number of 5's = 4
The number of 5's can be used as the power of the base, since the base is common.
Base = 5
Hence,
5 × 5 × 5 × 5 = 5⁴
Learn more : https://brainly.com/question/25629067
According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hour?
please help ASAP!! I will make u brainliest
Answer:
30 More minutes
Step-by-step explanation:
3/4 of an hour is 45
1/4 is 15
45-15 is 30
Answer:
1 hour
Step-by-step explanation:
PLEASE HELP FAST
Five candy bars and two cupcakes cost $12. Three candy bars and three cupcakes cost $11.25. Find the cost of each item
Answer:
$23.25
Step-by-step explanation:
12+11.25
Answer:
candy bars = a
cupcakes = b
a=1.5$
b=2.25$
Step-by-step explanation:
candy bars = a
cupcakes = b
1)5a+2b = 12
2)3a + 3b = 11.25
We can understand
3a + 3b = 3(a+b)= 11.25
a+b = 11.25÷3 = 3.75
from No.2 equation.
than we do
(5a+2b) - 2(a+b)
and we got 3a
so
12 - 7.5 = 4.5 = 3a
a=1.5$
b=2.25$
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19
Question 2 of 6
Which of the following is the first step in problem solving?
A. Gather your resources.
B. Check your answers and present the solution.
O C. Come to an answer.
D. Understand the problem.
Answer:
A
you fist have to gather your resources
Answer:
i guess D
because it is most important to understand the problem before going to any further step or conclusions.
what is the equivlalent expression of 4 plus 4 plus 4 plus 4 plus 4 plus 4 plus 4
Answer:
4x7
Step-by-step explanation:
4x7=28
4+4+4+4+4+4+4=28
--Answer--
4 x 7 = 28
4 + 4 = 8 <- x 3 + 4 = 28
or splitting it up in some way.
|x-4| if x>4
can you please help me
Answer: x - 4 without the absolute value bars surrounding it
=================================================
Explanation:
If x is larger than 4, then x-4 is positive. For example, if x = 5, then
x-4 = 5-4 = 1
So for cases when x > 4, the |x-4| and x-4 are the same identical expression. Try out more values of x to compare the two outputs. I recommend making a table with 3 columns. You'll have x in column 1, then |x-4| in column 2, and x-4 in column 3. You should find that the outputs for columns 2 and 3 are identical when x is larger than 4.
It's only when x < 4 is when |x-4| and x-4 differ. Instead we would say |x-4| = -(x-4). But we aren't focused on this case.
In short, when x > 4, we simply drop the absolute value bars to get the answer x - 4
You wondered if the sugar content in energy dinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz. dink state it contains 34g sugar. You randomly sampled 40 cans and measured its sugar content and found a sample mean of 35.6 and a standard deviation of 0.5. The correct hypotheses for said study should be
Answer:
The null hypothesis should be [tex]H_0: \mu = 12[/tex]
The alternate hypothesis should be [tex]H_1: \mu \neq 12[/tex]
Step-by-step explanation:
You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.
At the null hypothesis, we test if the sugar content is the same labeled, that is:
[tex]H_0: \mu = 12[/tex]
At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.
[tex]H_1: \mu \neq 12[/tex]
Fraccion decimal de -8,6
Answer:
− 1. ¯3
Step-by-step explanation:
Can someone explain too please
Answer:
Answer = A.)10
Step-by-step explanation:
The median for test A is 30 and the median for test B is 40. So you take the bigger number and subtract it by the smaller number to get the difference. 40-30 = 10
Anna and Henry are raking their yard. Anna has raked 5/12 of the yard and Henry has raked 4/9 of the yard. What fraction of the yard still
needs to be raked?
Answer:
Step-by-step explanation:
The raked portion is 5/12 plus 4/9, or (applying the LCD, 36),
20/36 + 24/36.
The sum of these two fractions is 44/36, or 1/9.
1/9 of the yard remains to be raked.
Can someone please help?
Answer:
1515
Step-by-step explanation:
Polly had 5 times as many red balloons as many red balloons as blue ones. She had 18 all together. How many of her balloons were blue ones?
Answer: 3 were blue
Step-by-step explanation:
Blue + Red = 18....so.....
B + 5B = 18
6B = 18
B =18 / 6 = 3 blue
Please help! Will give brainliest! (Worth 20 points, URGENT)
I messed up the points-
Step-by-step explanation:
Problem #1
alright, so it would be 7 1/4-6 3/8=7/8
we can check by adding:
6 3/8+7/8=7 1/4.
Problem #2
we can do the same for this one!
8 1/4-7 3/8=7/8
to check:
7/8+7 3/8=8 1/4
what is the circumference of a circle with a diameter of 13 inches? round to the nearest hundredth.
Answer:
40.84 to nearest hundredth.
Step-by-step explanation:
C = pi * d
= pi * 13
= 40.8407
To estimate the mean length of rattlesnakes, 10 such snakes are randomly selected. Their lengths, in inches, are as follows: 40.2 43.1 45.4 44.5 39.5 40.2 41.0 41.6 43.1 44.9 Find a 90% confidence interval for the mean length of all rattlesnakes.
Answer:
The confidence interval will be "41.04, 43.81".
Step-by-step explanation:
Given that,
Sample size,
n = 10
Sample total,
423.5
Sample mean,
[tex]\bar X =\frac{423.5}{10}[/tex]
[tex]=42.35[/tex]
Sample variance,
[tex]s = \sqrt{4.5894}[/tex]
[tex]=2.1423[/tex]
[tex]df=n-1[/tex]
[tex]=9[/tex]
[tex]t^*=18331[/tex]
Now,
The margin of error will be:
⇒ [tex]E=\frac{s\times t^*}{\sqrt{n} }[/tex]
[tex]=\frac{2.1423\times 1.8331}{\sqrt{9} }[/tex]
[tex]=\frac{3.928}{3 }[/tex]
[tex]=1.309[/tex]
hence,
The 90% confidence level will be:
= [tex](\bar X-E),(\bar X+E)[/tex]
By substituting the values, we get
= [tex](42.35-1.309),(42.35+1.309)[/tex]
= [tex](41.04),(43.81)[/tex]