Two solutions were found :
z =(2-√-116)/-20=1/-10+i/10√ 29 = -0.1000-0.5385i
z =(2+√-116)/-20=1/-10-i/10√ 29 = -0.1000+0.5385i
Step-by-step explanation:
a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common
difference and the 10th term
Answer:
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
Sixth term
T6 = a+(6-1)d
T6 = a+5d
Third term;
T3 = a+(3-1)d
T3 = a+2d
If the sixth term of an AP is twice the 3rd term, then
a+5d = 2(a+2d)
a+5d = 2a+4d
Given a = 3
3+5d = 2(3)+4d
5d-4d = 6-3
d = 3
Common difference is 3
For the 10th term
T10 = a+9d
T10 = 3+9(3)
T10 = 3+27
T10 = 30
Hence the tenth term is 30
write the expression n n n n n n using an exponent. Name the base and the exponent.
Answer:
n⁶
Step-by-step explanation:
Base= n
exponent=⁶
Use elimination to solve the system.
5x - 2y - 39 = 0
2x + 5y - 33 = 0
The solution set is { }
(Simplify your answer. Type an ordered pair.)
Answer:
the answer to your question is (9,3)
What is the value of the expression below?
6 + 5(9 ÷ 3)2
Answer:
36
Step-by-step explanation:
Divide 9 and 3
6 + 5 x 3 x 2
6+30
= 36
Help me with the top please
Answer:
Step-by-step explanation:
first option
Answer:
where you can define or adjust what you share and how your account is handled!
A basketball game has four quarters. The length of a game is 32 minutes. You play the entire game except 4.5 minutes. Write and solve an equation to find the mean time you play per quarter.
Answer: a little bit over 6 minutes i think
Step-by-step explanation:
You have $350,000 to invest. Which investment would yield the greater return in three years; an investment that pays 2.5% compounded monthly or an investment that pays 2.45% compounded daily?
Answer:
Its better to invest at 2.45% interest rate compounded daily.Step-by-step explanation:
We are given
Principal Amount = $350,000
Time t = 3 years
We need to determine which investment will yield greater return
a) 2.5% compounded monthly
b) 2.45% compounded daily
The formula used will be: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
a) 2.5% compounded monthly
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 12
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.025}{12})^{12*3}\\A=350000(1.0021)^{36}\\A=350000(1.079)\\A=377650[/tex]
So, the return of investment in 3 years would be $377650 if interest rate is 2.5% compounded monthly.
a) 2.45% compounded daily
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 365
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.0245}{365})^{365*3}\\A=350000(1.000067)^{1095}\\A=350000(2.0821)\\A=728735[/tex]
So, the return of investment in 3 years would be $728735 if interest rate is 2.45% compounded daily.
So, if we invest 2.45% interest rate that is compounded daily we will make $728735 while if we invest 2.5% interest rate that is compounded monthly we will make $377650
So, its better to invest at 2.45% interest rate compounded daily.
Solve for A please :)
Answer:
a = 54 deg
Step-by-step explanation:
Recall that for a triangle, any exterior angle equals the sum of its two remote interior angles (see attached for reference).
In our case the exterior angle is 2a and the remote interior angles are (a+10) and 44
hence,
2a = (a+10) + 44
2a = a + 10 + 44
2a = a + 54 (subtract a from both sides)
2a - a = 54
a = 54 deg
PLS HELP I AM BEING TIMEDD
ANSWER:
ANSWER:
Answer:
Answer:
Answer:
A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404. Leah claims the data in the table contains a cluster. Why is Leah’s statement true? There is no obvious outlier. The y-values are steadily increasing as the x-values are decreasing. The data contains a group of closely occurring points. Leah’s statement is not true.
Answer:
its c
Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.
The data set in the table forms a cluster and does not include outliers.
Which point, if added to the table, would be an outlier?
✔ (2.75, 41 )
Answer:
C. The data contains a group of closely occurring points
Step-by-step explanation:
Edge 2023
Monica is a lawyer who earns $8.322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has left from her earnings.
the difference between a two-digit number and that number reversed is 18. What could that number be. List all possibility's.
9514 1404 393
Answer:
20, 31, 42, 53, 64, 75, 86, 97
Step-by-step explanation:
The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...
20, 31, 42, 53, 64, 75, 86, 97
_____
If t and o are the tens and ones digits respectively, the relation you seek is ...
(10t +o) -(10o +t) = 18
9(t -o) = 18
t - o = 2 . . . . as above
Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.
Answer:
10a+b=10b+a-18
9a+9b = -18
9(a+b) = -18
a+b = 18/9
a + b =2
Step-by-step explanation:
Hi :) could I have some help?
Answer:
1) -6 2/3
2) \sqrt{36} (square root of 36)
3) 6.4
4) 71/11
Step-by-step explanation:
put them all as a decimal, it might make it easier
The altitude of a tree affects the rate at which the tree grows. G(A),models the growth rate (in millimeters per year) of a certain kind of tree at an altitude A (in kilometers above sea level). Match each statement with the feature of the graph that most closely corresponds to it.
Answer:
y-intercept: at sea level, the tree grows by 1.4 millimetres each year, Relative minimum or maximum: the fastest possible growth rate is 2.6 millimetres per year, Increasing or decreasing interval: as the altitude surpasses 7 kilometres above the sea level, the growth rate of the tree declines
Step-by-step explanation:
°ω°
Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7
Answer:
C: 1/2x +7
Step-by-step explanation:
a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
Please select the best answer from the choices provided
Answer:
Can you give me some more context?
5/3 rewrite fraction with a denominator of 12
Answer: 20/12
Step-by-step explanation: In order to get a 12 in the denominator
of 5/3, we multiply top and bottom of 5/3 by 4 to get 20/12.
So 20/12 is an equivalent fraction.
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️
Answer:
.66
Step-by-step explanation:
please help asap question 2*****
Answer:
(11, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x + y = 15
-2x + 5y = -2
Step 2: Define variables
Given: x = 11
Step 3: Solve for y
Define equation: x + y = 15Substitute in x: 11 + y = 15Isolate y: y = 4Evaluate the expression when a=3 and b= 19.
b-4a
Answer:
7
Step-by-step explanation:
19 - 4(3) = 19 - 12 = 7
please give me a brainiest
Type an equation that can be used to answer the question in
the first box.
Then type the solution to the equation in the second box.
You are reading a book that has 150 pages. You have
already finished 60 pages and you are reading 3 pages per
day.
How many days will it take for you to finish the book?
Use d as the variable.
Answer:
3d + 60 = 15030 daysStep-by-step explanation:
Required equation is:
3d + 60 = 150Solution:
3d = 150 - 603d = 90d = 90/3d = 30 dayspls answer pls.mill mark brainliest
Answer:
x^10
Step-by-step explanation:
Standard form of a line that has a slope of -1 and passes through (-5,-1)
Step-by-step explanation:
y + 1 = -(x+5)
y + 1 = -x - 5
y = -x - 6
x + y = -6
$3.00 markup 72%
Thanks for helping
Answer:
$5.16
Step-by-step explanation:
3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.
I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?
Answer:
1.72 pounds
Step-by-step explanation:
1.25 + 0.14 + 0.33 =1.72 pounds
Louis's age is three years more than twice the age of Sanchez. The sum of their ages is 39. How old are Sanchez and Louis? 3 +2s+s =39
Answer:
According to your formula, she's 12
Step-by-step explanation:
Someone plzz help you get 10 points.
Jason wants to solve the following system using the elimination method:
x + 3y = 10
2x + y = 5
What number should the equation 2x + y = 5 be multiplied by to eliminate y?
a. 2
b. -3
c. -2
d. 3
Answer:
No single Correct answer. Both b and d will work
Step-by-step explanation:
You want to get rid of y.
The first equation has a 3 in front of the y
Therefore you would have to multiply the second equation by 3 or - 3
If you use -3 you would add the two equations
If you use 3 you would subtract the two equations.
It is either b or d. Both will give you the same answer.
- Three
x + 3y = 10
-6x - 3y = - 15 Add
-5x = - 5 Divide by - 5
x = -5/-5
x = 1
+ Three
x + 3y = 10
6x + 3y = 15 Subtract
-5x = - 5
x = -5/-5
x = 1 Same thing.
Double the difference of a number n and 3 is -10. Which equation models this "number riddle" correctly?
A. 2 - n - 3 = -10
B. 2(3 - n) = -10
C. 2 (-10) = 3
D. 2(n - 3) = -10
Find the value of x and y
Answer:
I found it hard to explain through text so the answer and explanation is there in the picture given above.
don't mind my handwriting....
I was writing fast....
Step-by-step explanation:
i hope this helps...
please can I have brainliest?
it would be really nice if I got one...
have a great day ahead :)
Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the base of the pole to the end of the rope is 15 meters. What is the angle made by the rope and the ground?
A. 21.2∘
B. 66.8∘
C. 25.4∘
D. 64.6∘
Answer:
[tex]B. \: \boxed{66.8}[/tex]
Step-by-step explanation:
[tex]to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\ \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given : \to \\ the \: \boxed{opp }\: of \: the \: required \: angle \: = 35. \\ the \: \boxed{adj }\: of \: the \: required \: angle \: = 15. \\ now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta) = \frac{opp}{adj} \to\\ \tan( \theta) = \frac{opp}{adj} = \frac{35}{15} = 2.3333333333 \\ \theta = \tan {}^{ - 1} (2.3333333333) \\ \boxed{\theta = 66.80}[/tex]
♨Rage♨