Answers
Answer:
See below.
Step-by-step explanation:
These work just like ordinary algebraic expresssions, except you have to remember always: i^2 = -1 i squared is negative one!
(4 - 3i)(4 + 3i) "FOIL" the expression to get 16 - 3i + 3i - 9i^2. But i^2 = -1, so this is the same as 16 - 3i + 3i + 9. Combine like terms.
Ans. 25
(4 - 3i)(i) Distribute the i to the two terms of the binomial.
4i - 3i^2 = 4i - 3(-1)
Ans. 4i + 3
(6i)(4 + 3i) = (6i)(4) + (6i)(3i) = 24i + 18i^2 = 24i + 18(-1)
Ans. 24i -18
(6i)(i) = 6i^2 = 6(-1)
Ans. -6
(-5)(4 + 3i) = -20 - 15i That's it; there's no i^2 to deal with.
Ans. -20 - 15i
(-5)(i) = -5i Again, that's all there is to it.
Ans. -5i
Related Questions
If the graph of f(x) = |x| is shifted up 5 units, what would be the equation of the new graph?
A. g(x) = |x + 5|
B. g(x) = |x| + 5
C. g(x) = |x| - 5
D. g(x) = |x - 5|
Answers
Answer:
B. g(x)= |x| + 5
Step-by-step explanation:
-5 represents a vertical shift down, so that narrows it down to either A or B. A shows a shift across the horizontal (X) axis, so it must be B.
0.5 mg/mL = ___________ mcg/mL
Answers
Answer: 500 mcg/mL
Step-by-step explanation: 0.5 mg/mL = ___________ mcg/mL
0.5 mg/mL(1000)
500 mcg/mL
Answer:
500 mcg / mL
Step-by-step explanation:
this is the ansa when u do 0.5 mg/mL = ___________ mcg/mL
12. Which statement best describes the effects on the graph of f(x) = log2 xwhen f(x) is replaced by
f(x-2) + 1?
a. The graph is vertically stretched by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
b. The graph is vertically compressed by a factor of 3, horizontally translated 2 units right, and
vertically translated 1 unit up.
c. The graph is horizontally stretched by a factor of 3, horizontally translated 2 units left, and
vertically translated 1 unit up
d. The graph is vertically compressed by a factor of , vertically translated 2 units down, and
horizontally translated 1 unit left.
Answers
Answer:
B.
Step-by-step explanation:
Hope it helps thx#CARRYONLEARNING!A freshly isolatedsample of 90Y was found to have an activity of 8.9 x 105 disintegrations per minute at 1:00pm on December 3, 2003. At 2:15pm on Dec, 17, 2003, its activity was redetermined and found to be 2.6 x 104 disintegrations per minute. Calculate the half-life of 90Y.
Answers
Answer:
3960 minutes
Step-by-step explanation:
From;
0.693/t1/2 = 2.303/t log No/N
t1/2 = half life of 90Y
No = initial activity of 90Y = 8.9 x 10^5 disintegrations per minute
N= activity of 90Y after time t = 2.6 x 10^4 disintegrations per minute
t = time taken
Since the time elapsed is 20,235 minutes, we substitute into the formula above.
0.693/t1/2 = 2.303/20235 log 8.9 x 10^5/2.6 x 10^4
0.693/t1/2 = 1.75 * 10^-4
t1/2 = 0.693/ 1.75 * 10^-4
t1/2 = 3960 minutes
A pollster believes that 20% of the voters in a certain area favor a bond issue. If 49 voters are randomly sampled from the large number of voters in this area, approximate the probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08. (Round your answer to four decimal places.)
Answers
Answer:
The probability that the sampled fraction of voters favoring the bond issue will not differ from the true fraction by more than 0.08 is 0.7698
Step-by-step explanation:
Given
n = 64
p = 0.20
X/n -p < 0.06
x-np <0.06n
x-np <0.06 * 64
x-np <3.84
Z score
= (x-np)/sqrt (np(1-p))
= -3.84/ sqrt (64*0.20*0.80)
= -1.20
P (x/n-p<0.06) = P(-1.2<z<1.20) = 1-2*0.1151 = 0.7698
Please help!! Urgent!
Answers
Answer:
[tex] log_{3}( {x}^{3} + {2x}^{2})[/tex]
Answer:
Answer:
log_{3}( {x}^{3} + {2x}^{2})log
3
(x
3
+2x
2
What is the total volume of this composite shape? Round your answer to the nearest tenth.
Answers
how to go in minutes from hours and hours to minutes answer in picture welcome in advance
Answers
Answer:
trick:
1 hour = 60 minutes
ex if said to convert 25 minutes to hour so
1 hour/60=1minutes
multiply both sides with 25
25 x 1hour/60=25minutes
5/12 hours=25 minutes
just like that for hour
what is the lenght of rectangle whose area is 240cm
Answers
Answer:
16
Step-by-step explanation:
I don't know how to explain but it is 16
Answer:
Since the Width (W) of the rectangle is not given, the answer would be Length (L) = 240/W
Step-by-step explanation:
A = L*W
240 = L*W
240/W = L
simplify: The question in photo
Answers
Answer:
Step-by-step explanation:
Find dy/dx if f(x) = x²+9²
Answers
Answer:
let y=x²+9²
dy/dx=dx²/dx+d9²/dx
=[tex]2 x^{2-1}+0[/tex]
=2x is a required answer.
hi what is the answerr??
Answers
Given:
The rule of input and output function is:
[tex]25-g[/tex]
To find:
The answer if we put 19.
Solution:
Consider the input and output function is:
[tex]f(g)=25-g[/tex]
Substitute [tex]g=19[/tex], we get
[tex]f(19)=25-19[/tex]
[tex]f(19)=6[/tex]
Therefore, the required answer is 6.
¿Existen o no existen los números?.
Answers
si existen pero que tipo de números? porque si existen
Please solve!
l = 48.1 m, w = 51.62 m, h = 3.42 m
Answers
Answer:
Volume? Surface area?
Step-by-step explanation:
Volume=8491.59
Surface area=5647.93
Determine the rate of change of the function given by the table.
A) 2
B) 1
C) -1
D) -2
Answers
All i did was
5-3=2
6-4=2
7-5=2
8-6=2
They all equal to 2 so the answer is 2 :)
What is the correct ratio?
Answers
D)32/40
Hope it helps you
Answer:
[tex]\frac{24}{40}[/tex]
Step-by-step explanation:
Sin = [tex]\frac{opposite}{hypotenuse}[/tex] (relative to the angle asked for)
The opposite of Angle Z is 24
The hypotenuse no matter what would always be 40; therefore,
Sin(Z) = [tex]\frac{24}{40}[/tex]
Hope this helps!
Find the measure of angle AGE in the figure below. Enter only
the number.
Answers
Answer:
AGE = 129 degrees
Step-by-step explanation:
Find the probability that a randomly selected dog owner
spent $100 or more on health care and the dog was a
mixed breed. (Type your answer in SIMPLIEST form)
Answers
I need the answer fast pls
Answers
Answer:
B
Step-by-step explanation:
It's B because that's the only answer that talks about the highest temperature, which is mentioned in the question
Hope this helps
PLEASE HELP ILL GIVE BRAINLIEST AND A THANKS
Answers
Answer:
[tex]forth \: line \: - 5x - 3x + 3 = 6 \\ - 8x + 3 = 6 \\ - 8x = 3 \\ x = \frac{3}{ - 8} [/tex]
A researcher collected data on years spent in college and yearly income. He found that the longer someone is in college, the lower his/her income is. Which of the following is true based on this research? Select all that apply.
The line of best fit for this data would be increasing from left to right on the scatter plot.
The slope of the line of best fit for this data would be negative.
The -intercept for the line of best fit for this data would be zero.
The line of best fit for this data is horizontal because the variables are not related.
If you divided the data into two groups and found the average years of college and average yearly income from each of the two groups, you could find the estimated slope of the line of best fit by using the slope formula on those representative points.
Answers
Answer:
A
Cdfvvbghnjmk,l.;/‘Step-by-step explanation:
[tex]\tt\red{See \; attachment!}[/tex]
oduced the test statistic χ2=8.95 with a corresponding p-value of 0.03. Which of the following is correct? There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p-value. Answer A: There is sufficient evidence to reject the null hypothesis at the 0.05 level since the test statistic is greater than the p -value. A
Answers
Answer:
The null hypothesis must be rejected
Step-by-step explanation:
Here the P value is less than 0.05
which means that the test results are statistically significant and there are sufficient evidence to reject the null hypothesis and accept the alternative hypothesis.
Hence, the null hypothesis must be rejected.
write and solve proportion answer the question.
25%of what number w is 9
□= 25
100
w= □
Answers
Answer:
Answer is 36.
You can simply get this by writing and expression for it
25/100 x w=9
25w/100=9
w= 9x100/25
w=36.
Answer:
36
Step-by-step explanation:
9/w=25/100
cross multiplication:
9*100=25w
900=25w
900=25w / 25
36=w
One recipe makes 8 1/2 cups of potato salad. If one serving is 1/2 cup, how many servings does the recipe make?
Answers
Answer:
17
Step-by-step explanation:
8.5 / 0.5
log(x)²=(logx)², find the value of x
Answers
Answer:
x = 7.39
Step-by-step explanation:
log(x)²=(logx)², find the value of x
log x² = log x * log x
2log x = log x * log x
2 = log x
Take the exponent pf both sides
e² = e^logx
e² = x
x = e²
x = 7.39
the store is selling lemons at 0.53 each. each lemon yields about 2 tablespoons of juice. how much will it cost to buy enough lemons to make three 9inch lemon pies, each requiring half a cup of lemon juice?
Answers
Answer:
$6.36
Step-by-step explanation:
3 pies require 3/2 cups of lemon juice
16 tablespoons = 1 cup
need 24 tablespoons of lemon juice
need 12 lemons at $0.53 each
total cost = 12 x 0.53 = $6.36
The length of one rectangle in a quilt is 6 inches. Its width is 3 inches. About how many of these rectangles do you need to cover an area of 7,500 square inches?
Answers
Step-by-step explanation:
Area=2(L+W)
A=2(6+3)
A=2(9)
A=18in²
therefore, 7500/18
=416.66in²
Enter the value for x that makes the equation √x-7=-4
Answers
Answer:
Your answer is 9
Step-by-step explanation:
√9=3
3-7=-4
Which Which value of x makes this equation true? -3x+10=5x-8
value of x makes this equation true? -3x+10=5x-8
Answers
Answer:
9/4
Step-by-step explanation:
-3x+10=5x-8
or, -3x-5x = -8-10
or, -8x=-18
or, 8x=18 (i.e. - is cancelled)
or, x=18/8
i.e. x=9/4
Hence, the value of x is 9/4
Answer:
The value of x is 9/4
Step-by-step explanation:
-3x+ 10 = 5x - 8
Add 3x both side
-3x + 3x + 10 = 5x + 3x - 8
10 = 8x - 8
Now, Add 8 both side
10 + 8 = 8x - 8 + 8
18 = 8x
8x = 18
Now, Divide by 8 from both side
8x/8 = 18/8
x = 9/4
Thus, The value of x is 9/4
FOR VERIFICATION ONLY:-3x + 10 = 5x - 8
-3(9/4) + 10 = 5(9/4) - 8
-27/4 + 10 = 45/4 - 8
-27 + 4 × 10/4 = 45 - 8 × 4/4
-27 + 40/4 = 45 - 32/4
13/4 = 13/4
Hence, L.HS = R.H.S
-TheUnknownScientist
Find the perimeter of a
hexagon with each side
measuring 184 ft.?
Answers
Answer:
P = 1104
a - Side
Step-by-step explanation:
P = 1104
a - Side
Answer:
P=1140
Step-by-step explanation:
P=1140 BANANA SORRY THE ANSWER I DONT HAVE IT BUT HAVE A GOOD DAY