Answer:
i= sqrt (-1)
If the power is
- even then the value could be -1 or 1
-odd then the value could be -i or i
99 is odd so now is
-i if (99+1)/2 is even or is
i is (99+1)/2 is odd
Now check (99+1)/2= 100/2= 50,
50 is even so
i^99 = -i
Step-by-step explanation:
Prove the following statement directly from the definitions. The difference of any two rational numbers is a rational number. Proof: Suppose r and s are any two rational numbers. By definition of rational, r
Answer:
- Integers, b ≠ 0 and d ≠ 0.
- r - s = (ad - bc)/bd.
- products and differences of integers are integers.
- zero product property
- quotient.
Step-by-step explanation:
Rational numbers are integers that can take the form of numerator divided by a denominator, that is to say in the form of 'a/b;. So, we are given from the question or problem to prove and fill in the gap the correct information or data:
For the first part of the question:
The missing data in the gap = Integers; b ≠ 0 and d ≠ 0. That is to say the denominators can not be zero or say that the denominators are non zero. This is one of the properties or let us say one of the ways of identifying a Rational number.
For the second part:
The missing data in the gap = a/b - c/d = (ad - bc)/bd. This is the representation in a simplified form.
For the third part:
The missing data or information = products and differences of integers are integers.
For the fourth part:
The missing data or information: zero product property, that is to say the product of the numerators is not equal to zero, or it is non zero.
For the fifth part:
The missing data or information: quotient. r - s is a quotient of two integers.
PLZ HURRY IT'S URGENT!!
What is the slope of the line?
x=−8
options:
undefined
-8
1
0
Answer:
im pretty sure it's -8
Answer:
undefined
Step-by-step explanation:
the line goes straight down
can someone help me i don’t get this at all !!!! (my mouse is covering the letter “L”)
===========================================
Work Shown:
SM/MK = RM/ML
33/44 = x/40
3/4 = x/40
3*40 = 4*x ... cross multiply
120 = 4x
4x = 120
x = 120/4
x = 30
RM = 30
please help
Select the correct answer.
In 14 days, the daily high temperature in Cedar Hills dropped by 16.8 degrees Fahrenheit. What is the average daily rate of change in the high temperature in degrees Fahrenheit?
A.
+2.2
B.
+1.2
C.
+1.1
D.
-1.2
E.
-2.2
Answer:-1.2 Degree Fahrenheit.
Step-by-step explanation:
Since,
The average daily changes, total changes/number of days
Here,
The total changes = - 16.8° F ( - sign shows the decreasing )
And, the number of days = 14
Hence,
⇒ The average daily rate of change in the high temperature in degrees Fahrenheit is -1.2° F.
-16.8 / 14 = - 1.2 per day
Which expression is equivalent to 3
10?
No answer text provided.
logio 3
log: 10 =
log, 3 = 10
Answer:
log,3=10
Step-by-step explanation:
hii and good morning
If 12 roses cost 30.4 how much will 18 roses cost?
Answer:
45.6
Step-by-step explanation:
We can write a proportion to solve
12 roses 18 roses
------------ = -----------
30.4 x
Using cross products
12x = 30.4 * 18
12x=547.2
Divide each side by 12
12x/12 = 547.2/12
x = 45.6
Evaluate the following question:f(x) = 3x - 7 for f(10)
Answer:
f(10) = 23
Step-by-step explanation:
you plug in 10 for the x in the equation and then solve. So 3 x 10 = 30 then minus 7
Answer:
x=-1
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
x=−1
Write an equation of the line passing through point P(−2, 6) that is parallel to the line x=−5.
Answer:
x = -2
Step-by-step explanation:
The line x = - 5 means it is a straight vertical line that has no slope. This means that the slope is undefined.
Now, for this line to be parallel to the line passing through point P(−2, 6), it means the line will be a vertical line too with the equation of form (x = a).
Thus, the equation of the line is x = -2
The equation of the line is given by:
[tex]x = -2[/tex]
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change.b is the y-intercept, which is the value of x when y = 0.If two lines are parallel, they have the same slope.Line x = -5 is a horizontal line, thus, it's slope is undefined.
A line parallel will also be horizontal, with undefined slope.
It passes through point P(-2,6), thus, the equation of the line is:
[tex]x = -2[/tex]
A similar problem is given at https://brainly.com/question/16302622
Sherry is paid an annual salary of $26,000 biweekly. Her friend Donna makes the same salary but is paid quarterly. How much more money does one of Donna's checks have than Sherry's.
Answer:
5000
Step-by-step explanation:
Assuming they both work 365days
roughly 52 weeks
number of time sherry is paid per year = [tex]\frac{52}{2} = 26[/tex]
because she is paid every two weeks
number of time donna is paid per year = [tex]4[/tex]
because she is paid 4 times a year (quarterly)
let s = amount sherry is paid biweekly
let d = amount donna is paid quarterly
[tex]s = \frac{26000}{26} = 1000\\\\d = \frac{26000}{4} = 6500\\\\difference = 65000 - 1000 = 5000\\[/tex]
Answer:
5500
Step-by-step explanation:
VODY VON
Dom
18. Mr. Cook's class has a female student to male student ratio of 3:2. If Mr. 5 points
Cook's class has 18 girls, how many boys does he have?
17 boys
5 boys
12 boys
16 boys
what is 6 4/9 as a impropor fraction
#18 Kerry has 4 goldfish
and 8 beta fish. What is the
ratio of beta fish to total
fish? Write the ratio 3 ways.
Answer:
1:2, 1 to 2, 1/2
Step-by-step explanation:
57.99 The 9 in the hundredths place is _______ the value of the 9 in the tenths place.
Answer:The 9 in the hundredths place is 0.1x the value of the 9 in the tenths place.
Step-by-step explanation:
Every place going forward is 10x forward, so this means that every place going backwards is 0.1x.
Answer:
1/10th
Step-by-step explanation:
Phil Dunphy, a real estate agent, is considering whether he should list an unusual $262,023 house for sale. If he lists it, he will need to spend $3,111 in advertising, staging, and fresh cookies. The current owner has given Phil 6 months to sell the house. If he sells it, he will receive a commission of $19,752. If he is unable to sell the house, he will lose the listing and his expenses. Phil estimates the probability of selling this house in 6 months to be 40%. What is the expected profit on this listing?
Answer: $4,789.80
Step-by-step explanation:
If Phil is able to sell the house, the profit he makes will be;
= Commission - expenses
= 19,752 - 3,111
= $16,641
If he is unable to sell in 6 months he will lose $3,111.
His expected profit will be a weighted average of the two possibilities;
= (40% * 16,641) + ( 60% * -3,111)
= 6,656.40 + (-1,866.6)
= $4,789.80
Find all the zeros of f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Answer:
x=-2 x=2 x = 1/2 x=3
Step-by-step explanation:
f(x) = 2x^4 − 5x^3 − 5x^2 + 20x − 12
Graph
We see that there is a zero at -2
Using synthetic division
-2 2 -5 -5 20 -12
-4 18 -26 12
------------------------------
2 -9 13 -6 0
This gives us ( x+2) ( 2x^3 -9x^2 +13x -6)
We see that there is a zero at 2
Using synthetic division ( 2x^3 -9x^2 +13x -6)
2 2 -9 13 -6
4 -10 6
------------------------------
2 -5 3 0
This gives us ( x+2) ( x-2) ( 2x^2 -5x+3)
We can factor ( 2x^2 -5x+3)
( x+2) ( x-2) ( 2x -1) ( x-3)
Using the zero product property
( x+2)=0 ( x-2)=0 ( 2x -1)=0 ( x-3)=0
x=-2 x=2 x = 1/2 x=3
A shoe company distributed 4,528 boxes of shoes equally among 4 different stores. How many boxes of shoes did each store receive?
Answer:
1,132
Step-by-step explanation:
4,528÷4=1,132ooooo
Coweta Nutrition sells shakes for $3.39 each. They also sell tea for $2.50. If Mrs.
Morgan bought 1 tea and spent $19.45 this week, not including tax, how many
shakes did she buy?*
Answer:
she bought 5 shakes
Step-by-step explanation:
shakes: $3.39
tea: $2.50
2.50 + 3.39s = 19.45
3.39s = 16.95
s = 16.95 ÷ 3.39
s = 5
Check:
2.50 + 3.39(5) = 19.45
or
2.50 + 3.39 + 3.39 + 3.39 + 3.39 + 3.39 = 19.45
The annual fundraising goal of a sports team is $100,000. So far $41,317 has been raised. How much more money is needed to reach the goal?
Answer:
58,683
Step-by-step explanation:
subtract
Carmine paid an electrician x dollars per hour for a 5-hour job plus $70 for parts. The total charge was $320. Which equation can be used to determine how much the electrician charged per hour? (Tek 7.10A)
Answer:
First one (5x=320-70)
Step-by-step explanation:
If she paid 70$ for parts, then you have to subtract it from 320$ because that is the total. Therefore, 5x will be equal to 320-70 or 5x=320-70 :)
Find the value of x and measure of ∠3
∠3=2x+7
∠6=6x+21
Answer:
the answer is four
Step-by-step explanation:
Alexia had $80.45 in her bank account on Monday. She deposited $20.50 on Tuesday. She then withdrew $37.25 on Wednesday. How much did Alexia have left in her account on Thursday?
---------------------
$100.95-------------------
$100.95-$37.25-----------$63.70-----------She has $63.70 left on ThursdayHow do you do this question?
Answer:
Diverges
Step-by-step explanation:
an = 7 / n^(1 + 1/n)
As n approaches infinity, an approaches 7 / n.
bn = 7 / n
Apply Limit Comparison Test.
lim(n→∞) an / bn
= lim(n→∞) [7 / n^(1 + 1/n)] / (7 / n)
= lim(n→∞) n / n^(1 + 1/n)
= lim(n→∞) 1 / n^(1/n)
= lim(n→∞) 1 / n⁰
= 1
The limit is greater than 0, and bn diverges, so an also diverges.
3. Subtract 1.7 - 0.8 = _____ tenths - _____ tenths = _____ tenths = ______ what are the tenths
Answer:
17 tenths - 8 tenths=9 tenths
Step-by-step explanation:
1.7 tenths is 17 tenths, we can see that by multiplying 1.7x10 to get 17
dot he sam with 0.8 to get 8 tenths
ti find the answer, subtract the units. 17-8=9
Giovanni Food Products produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is shown.
Year Revune
1 8.53
2 10.84
3 12.98
4 14.11
5 16.31
6 17.21
7 18.37
8 18.45
9 18.40
10 18.43
Required:
a. Construct a time series plot. Comment on the appropriateness of a linear trend.
b. Using Minitab or Excel, develop a quadratic trend equation that can be used to forecast revenue.
c. Using the trend equation developed in part (b), forecast revenue in year 11.
Answer and explanation:
Please find attached
An electrician needs to buy 600 centimeters of electrical tape. How many rolls of tape should
the electrician order if there are 200 centimeters of tape on each roll?
Answer:
3 rolls of tape
Step-by-step explanation:
600 diveded by 200 is 3
I need help !!
Don’t understand it..
Answer:
d
Step-by-step explanation:
Answer:
B. h(x)=(x+1) (10x-1)
Step-by-step explanation:
B. h(x) = (x+1) (10x-1)
h(x)=10x^2+10x-x-1
h(x)=10x^2+9x-1
Two shooters, Rodney and Philip, practice at a shooting range. They fire 100 rounds each at separate targets. The targets are marked with circles and each bullet hitting a particular circle gets them a particular number of points. 60 rounds are selected at random. The sample mean scores of Rodney and Philip are 8 and 10, respectively. And, their variances are 0.25 and 0.50, respectively The standard error of the difference between their mean scores is ______________ (Round your answer to two decimal places.) The 95% confidence interval for the difference between the mean scores Rodney and Philip is ________ _____________: (Enter a minus sign if your answer is negative. Round your answer to two decimal places.)
Answer:
A) SE = 0.1118
B) 95% Confidence interval is;
-2.22 < μ1 - μ2 < -1.78
Step-by-step explanation:
We are given;
Sample size; n = 60
Sample mean 1; x1 = 8
Sample mean 2; x2 = 10
Variance 1; v1 = 0.25
Variance 2; V2 = 0.5
Now,
Standard deviation is given by the formula ;
σ = √variance
Thus;
σ1 = √0.25
σ1 = 0.5
σ2 = √0.5
σ2 = 0.7071
Formula for standard error of mean is;
SE = σ/√n
Thus;
SE1 = 0.5/√60
SE1 = 0.06455
SE2 = 0.7071/√60
SE2 = 0.0913
The standard error of the difference between their mean scores would be;
SE = √[(SE1)² + (SE2)²]
SE = √(0.06455² + 0.0913²)
SE = 0.1118
Formula for 95% confidence interval is;
(x1 - x2) - ((Z_α/2) × SE) < μ1 - μ2 < (x1 - x2) + ((Z_α/2) × SE)
Where Z_α/2 is the critical value. At confidence interval of 95%, we have a critical value of 1.96 from tables.
Thus, plugging in the relevant values, we have;
(8 - 10) - (1.96 × 0.1118) < μ1 - μ2 < (8 - 10) + (1.96 × 0.1118)
-2.22 < μ1 - μ2 < -1.78
The net of a rectangular shipping box is shown.
What is the surface area, in square centimeters, of the box?
Answer:
It would be 376.
The system shown below is
.
3x – 4y = 12
6x – 8y = 21
Answer:
inconsistent
Step-by-step explanation:
Answer:
inconsent
Step-by-step explanation:
Use technology to solve the following problem: The lifetime of a certain type of automobile tire (in thousands of miles) is normally distributed with mean μ = 38 and standard deviation σ = 7. What proportion of tires have lifetimes between 36 and 46 thousand miles?
Answer:
0.4859
Step-by-step explanation:
The formula for calculating a z-score is is z = (x-μ)/σ,
where x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
From the question:
mean μ = 38,000
standard deviation σ = 7,000
For.
36 ( thousand miles) = 36,000
z = (x-μ)/σ
z = 36,000 - 38,000/7000
z = -0.28571
Probability value from Z-Table:
P(x = 36000) = 0.38755
For 46 thousand miles = 46,000
z = (x-μ)/σ
z = 46,000 - 38,000/7000
z =1.14286
Probability value from Z-Table:
P(x = 46000) = 0.87345
The proportion of tires that have lifetimes between 36 and 46 thousand miles is calculated as:
P(x = 46000) - P(x = 36000)
0.87345 - 0.38755
= 0.4859