Answers
Answer:
Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Step-by-step explanation:
We need to express the radical [tex]\pm\sqrt{-81}[/tex] using the imaginary unit i
Prime factors of 81 are: 3x3x3x3
and [tex]\sqrt{-1}=i[/tex]
Solving:
[tex]\pm\sqrt{-81}\\=\pm\sqrt{81}\sqrt{-1}\\=\pm\sqrt{3\times3\times3\times3}i\\ =\pm\sqrt{3^2\times3^2}i\\=\pm3\times3\ i\\=\pm9 \ i[/tex]
So, Solving the radical [tex]\pm\sqrt{-81}[/tex] we get [tex]\mathbf{\pm9 \ i}[/tex]
Related Questions
if p = x(3x+5) - 28, then p is divisible by which of the following expressions?
Answers
Answer:
o p is factorable by 3x - 7, and x + 4
Step-by-step explanation:
Let's factor it:
[tex]p = x(3x + 5) - 28\\p = 3x^2 + 5x - 28\\p = (3x - 7)(x + 4)[/tex]
So p is factorable by 3x - 7 and x + 4
Solve the equation. 4(x + 5) - 4 = 4
Answers
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!
4x+20-4=4
4x+16=4
4x=4-16
4x=-12
X=-3
Solve for x , if x + 47 = -23 .
x =
Answers
Answer:
-70
Step-by-step explanation:
subtract 47 from both sides to get
x = -23 - 47
Answer:
Step-by-step explanation:
x + 47=-23
x + 47 - 47=-23 - 47
x=-70
please help me im very behind
Answers
-1
Step-by-step explanation:We are given:
a₁ = -17
a₁₃ = -29
Solving for the Common Difference (d):
We know that the formula for an AP is:
aₙ = a₁ + (n-1)d
The formula for the third term will be:
a₁₃ = a₁ + (13 - 1)d
replacing the given values:
-29 = -17 + (12)d
-12 = 12d [adding 17 on both sides]
d = -1 [dividing both sides by 12]
Hence, the common difference is -1
A person invests 4000 dollars in a bank. The bank pays 6.25% interest compounded
annually. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 9600 dollars?
Answers
Answer:
14.4
Step-by-step explanation:
Given that :
Principal = 4000
Interest (r) = 6.25% compounded annually
Calculate time, t, if final amount A = 9600
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
9600 = 4000(1 + 0.0625)^t
9600 = 4000(1.0625)^t
9600/4000 = 1.0625^t
2.4 = 1.0625^t
Take the log of both sides
0.3802112 = 0.0263289t
t = 0.3802112/0.0263289
t = 14.440811
t = 14.4 ( nearest tenth)
I don’t understand this
Answers
Answer:
a
Step-by-step explanation:
Step-by-step explanation:
answer is A, please trust me if I'm right give me brainiest
Solve for a
-3=a+4
I need some help today
Answers
i’m guessing that’s what it is
for three consecutive years the cost of gasoline increased by 9%, 13%, 22%. what was the overall percentage increase of the cost of gasoline during the three year period
Answers
Answer:
OHHHHHHHH wait It went up by 8%!
Step-by-step explanation:
Please help me!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answers
Answer:
Step-by-step explanation:
Given that:
Dinner time =
for what value of 0 is cos^-1(sqrt2/2)=0?
Answers
The value of theta is pi/4
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)= \theta[/tex]
here the value of the,
What is the value of the arccos(sqrt2/2)?The value of the arccos(sqrt2/2) is,
[tex]\arccos \left(\frac{\sqrt{2}}{2}\right)=\frac{\pi }{4}[/tex]
Therefore the value of theta is pi/4
So the second option is correct.
To learn more about the trigonometric function visit:
https://brainly.com/question/24349828
#SPJ2
You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer: 10x=y
Step-by-step explanation:
So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.
WILL GIVE BRAINLIEST
Just need the answer
Answers
Answer: B
Step-by-step explanation:
fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city fireflies by owl city
Answers
Answer:
good song
Step-by-step explanation:
yes
Answer:
fireflies by owl city
Step-by-step explanation:
fireflies by owl city
Let X and Y equal the concentration in parts per billion of chromium in the blood for healthy persons and for persons with a suspected disease, respectively. Assume that the distributions of X and Y are normal. A sample of 8 observations for X have a sample mean of 15.75 and a sample variance of 46.21. A sample of 10 observations of Y have a sample mean of 23.3 and a sample variance of 92.68. Find a 90% confidence interval for the ratio of variances,
Answers
Answer:
The value is [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]
Step-by-step explanation:
From the question we are told that
The number of observation for X is [tex]n_1 = 8[/tex]
The sample mean for X is [tex]\= x _1 = 15.7 5[/tex]
The sample variance for X is [tex]s^2_1 = 46.21[/tex]
The number of observation for Y is [tex]n_1 = 10[/tex]
The sample mean for Y is [tex]\= x _1 = 23.3[/tex]
The sample variance for Y is [tex]s^2_1 = 92.8[/tex]
Generally the degree of freedom for X is
[tex]df_1 = n_1 - 1[/tex]
=> [tex]df_1 = 8 - 1[/tex]
=> [tex]df_1 = 7[/tex]
Generally the degree of freedom for X is
[tex]df_2 = n_2 - 1[/tex]
=> [tex]df_2 = 10 - 1[/tex]
=> [tex]df_2 = 9[/tex]
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
=> [tex]\frac{\alpha}{2} = \frac{0.10}{2}[/tex]
=> [tex]\frac{\alpha}{2} = 0.05 }[/tex]
Generally the 90% confidence interval for the ratio of variances is mathematically represented as
[tex]\frac{s_1^2}{s_2^2 } * \frac{1}{F_{ 1 - \frac{\alpha }{2} , df_1 , df_2 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{s_1^2}{s_2^2 } * \frac{1}{F_{ \frac{\alpha }{2} , df_1 , df_2 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * \frac{1}{F_{ 1 - 0.05 , 7 , 9 }} \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * \frac{1}{F_{ 0.05 , 7 , 9 }}[/tex]
=> [tex]\frac{46.21}{92.68 } * 0.304 \le \frac{\sigma_1^2}{\sigma_2^2} \le \frac{46.21}{92.68 } * 3.677[/tex]
=> [tex]0.152 \le \frac{\sigma_1^2}{\sigma_2^2} \le 1.835[/tex]
Jessica always uses the same ratio of green beads to blue beads when she makes necklaces. The graph shows these equivalent ratios.
Which table shows the same data?
Answers
Answer:
d
Step-by-step explanation:
Rewrite the equation y-31x= 93 as a function of x?
Pls answer quick pls.
Answers
Answer:
a
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Explain how to graph 8 is greater than it equal to y
Answers
Answer:
t w e n t y c h a r e c t e r s l o n g
What are the operations of fractions by multiplications?
Answers
Find the least common denominator .
Write both original fractions as equivalent fractions with the least common denominator.
Add (or subtract) the numerators.
Write the result with the denominator.
...
Fraction Operations
Find the least common denominator .
Write both original fractions as equivalent fractions with the least common denominator.
Add (or subtract) the numerators.
Write the result with the denominator.
Please help with math p
Answers
Answer:
Uhh eventully it is not so no
Step-by-step explanation:
I WILL GIVE BRAINLIEST
Given the function: f(x)= 3x+6. What is the inverse function of f(x)?
The picture above provides the answer choices and the function given.
Answers
Answer:
Concept: Inverse Functions
We want the inverse of a root function which is x^1/2 Now we combine that result to get [tex] {f}^{ - 1} (x) = \frac{ { x }^{2} }{3} - 2[/tex]Rate brainlistWhat is a real estate investment group?
a.
A collection of investors who pool their resources in order to purchase and manage property for a profit.
b.
An investment trust which uses investors’ money to purchase property, which it then manages in the investors’ stead.
c.
A category of real estate, such as “houses” or “apartment buildings.”
d.
A set of several properties purchased all at once.
Answers
Answer:
Your answer would be A
Step-by-step explanation:
I got it right on edge!
a. A collection of investors who pool their resources in order to purchase and manage property for a profit.
100% on edge 2021 c:
66% of 62 is...? **SHOW YOUR WORK** PLEASE HELP!! :'(
Answers
Step-by-step explanation:
divide 62 by 100 and then multiply that number by 66. I don't have a calculator on me rn sorry
Answer:
Fraction:
[tex]\frac{1023}{25}[/tex]
Decimal:
40.92
Mixed Number:
[tex]40\frac{23}{25}[/tex]
Step-by-step explanation:
66% is the same this as [tex]\frac{66}{100}[/tex]. You can simplify [tex]\frac{66}{100}[/tex] to [tex]\frac{33}{50}[/tex]. Then, find [tex]\frac{33}{50}[/tex] of 62, which is the same thing as [tex]\frac{33}{50}[/tex] x 62. You’ll get either of the three options, a fraction, decimal, or a mixed number, but all three are the same thing (you get to choose which one).
Hope this helps! :)
True or false: if the graph of an equation CANNOT be intersected in more than one place by a vertical line, then it is NOT a function.
Select one:
A. true
B. false
Answers
Answer:
FALSE
Step-by-step explanation:
You DON'T want a graph to be intersected by a vertical line more than once. It's called the vertical line test and is VERY useful. If it can only be intersected once, it IS A FUNCTION.
how does the converse of the Pythagoren Therom look
Answers
Answer:
The converse of the Pythagorean Theorem is: If the square of the length of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle. That is, in ΔABC, if c2=a2+b2 then ∠C is a right triangle, ΔPQR being the right angle.
Question 17 (5 points)
A pet sitter charges $20 for supplies and $10 per hour of service. The equation
C = 10n + 20 describes the total cost that she would charge for n of hours of service. If a client is
charged $50 for her service, for how many hours did she babysit his dog?
2
3
7
520
Answers
Answer:
The pet sitter babysat his dog for 3 hours.
Step-by-step explanation:
You know that a pet sitter charges $ 20 for supplies and $ 10 per hour of service, represented by the equation C = 10*n + 20, which describes the total cost she would charge for n hours of service.
The pet sitter charges a customer $ 50 for his service, so C has a value of $ 50.
Replacing:
50=10*n+20
Solving:
50 - 20= 10*n +20 -20
30= 10*n
30÷10= n
3= n
The pet sitter babysat his dog for 3 hours.
HELPPP I NEED AN ANSWER ASAP
Answers
Answer:
2, 4, and 6 (b, d, f)
Step-by-step explanation:
dont really know how to explain
Flo sets a goal of walking 10,000 total steps per day. Flo's normal routine involves walking 4,000 steps per day. If Flo walks 100 steps per minute, how many extra minutes should she walk per day beyond her normal routine?
Answers
Answer:
60 minutes or 1 hour
Step-by-step explanation:
10,000 - 4,000 = 6,000 more steps to add
6,000 steps / 100 per minute = 60 minutes more, 1 hour more
Hope this helps! :)
The sales tax for a certain state is 7%. Which of the following situations apply the correct amount of sales tax for the given amount?
a
A $50.00 purchase totals $53.50 with tax.
b
A $700.00 purchase totals $800.00 with tax
c
A $28.00 purchase totals $32.00 with tax.
An $84.00 purchase totals $89.88 with tax.
A $220.00 purchase totals $214.00 with tax.
Answers
Answer:
I think its c but I'm not sure. You need to ask a professional.
Step-by-step explanation:
The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y = 3.9x + 449 and for women, the equation is y = 14.1x + 312 where x is the number of years after 1970.
Answers
Alec types
3
5
of a paragraph in
2
3
minute. If he continues at the same rate, what fraction of a paragraph can Alec complete in 1 minute?
Answers
Answer:
9/10 of a paragraph in a minute
Step-by-step explanation:
find out how much he can type in 1/3 of a minute
(3/5)/2 3/5=6/10 (6/10)/2 3/10
(3/10)*3=9/10
Answer:
9/10
Step-by-step explanation:
hope it worked