Answer:
[tex](1 + i\,3) \cdot (2 + i) = -1 + i\,7[/tex]
Step-by-step explanation:
We proceed to present the procedure by algebraic means:
1) [tex](1 + i\,3)\cdot (2 + i)[/tex] Given
2) [tex]2\cdot (1 + i\,3) + i\,(1+i\,3)[/tex] Distributive and Commutative Properties
3) [tex]2 + i\,6 + i + i^{2} \,3[/tex] Distributive, Commutative and Associative Properties
4) [tex]2 + i\,7 -3[/tex] Definition of imaginary number/Distributive, Commutative and Associative Properties
5) [tex]-1 + i\,7[/tex] Commutative and Associative Properties
Solve for y:
76y = 19
Y =2/3
Y = 1/4
Answer:
y = 1/4
Step-by-step explanation:
76y = 19.
Get rid of the 76 by dividing 76 from both sides.
76y/76 = 19/76
19/76 simplified is 1/4.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{76y = 19}[/tex]
[tex]\textbf{DIVIDE 76 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{76y}{76} = \dfrac{19}{76}}[/tex]
[tex]\textbf{SIMPLIFY it}[/tex]
[tex]\mathsf{y = \dfrac{19}{76}}[/tex]
[tex]\mathsf{y = \dfrac{19\div19}{76\div19}}[/tex]
[tex]\mathsf{y = \dfrac{1}{4}}[/tex]
[tex]\huge\text{Therefore, your answer should be: }[/tex]
[tex]\huge\boxed{\mathsf{y = \dfrac{1}{4}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]4feet times 15inches
Which represents g(x), the translated function?
O g(x) = (x + 4)3 + 6
O g(x) = (x – 4)3 + 6
O g(x) = (x + 6)3 – 4
O g(x) = (x - 6)2 - 4
Answer:
Im pretty sure its A but not 100% sure-
Step-by-step explanation:
Someone help out with this
Answer:
k <= 11
Step-by-step explanation:
8+k <= -3
k <= -3 -8
k <= 11
Mind answering this? It's due in a few days and I'll give the correct answer Brainliest.
Match the values of a, b, and c given the equation in the standard form below:
h = -16t^2 + 8t + 24
Answer:
a = -16 b = 8 and c =24
Step-by-step explanation:
h = -16t^2 + 8t + 24
A quadratic function can be in the form
ax^2 + bx+c
Replace x with t
-16 is the coefficient of the squared term 8 is the coefficient of the linear term and 24 is the constant
a = -16 b = 8 and c =24
SS below of my question
Answer:
its blurry
Step-by-step explanation:
Answer:
arccos(.34) = 70.12 ≈ 70
Step-by-step explanation:
Need help what would it be
2x-54 and x + 22 are vertical angles and equal each other. Set the two equations equal to each other and solve for x.
2x -54 = x + 22
Add 54 to both sides:
2x = x + 76
Subtract 1x from each side:
X = 76
The answer is x = 76
Don’t answer if you don’t know thanks. No links!
Answer:
12 by 12
Step-by-step explanation:
The area of a square is [tex]s^2[/tex], where [tex]s[/tex] is side length of the square. Therefore, we have:
[tex]s^2=144,\\s=\sqrt{144}=12[/tex]
Since all side lengths of a square are equal, the dimensions are 12 by 12.
Answer:
Step-by-step explanation:
area of square=l^2
144=l^2
[tex]\sqrt{144[/tex]=l
12=l
therefore the dimensions of square is 12 x 12.
Help please will be marked as brainliest if correct
Answer:
12.95
Step-by-step explanation:
1. 173.43
2. 325.54
3. 0.6794
4. 76.45
Unlock number: 12.95
Answer:
173.43
325.54
.6794
76.45
Step-by-step explanation:
A cone has a height of 16 feet and a radius of 6 feet. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
602.88 ft^3
Step-by-step explanation:
(6^2)(3.14)(16)(1/3) = 602.88
Answer:
Step-by-step explanation:
V=1/3 πr²h
=1/3×π×6²×16
=192 π
≈192×3.14
≈602.88 ft³
can someone please help me with this? PLEASE I'm so confused.
==================================================
Explanation:
Let's say we had the slots A,B,C,D,E,F. Each slot represents where a flower would go.
For slot A, we have 15 different flowers to pick from.
Then slot B has 15-1 = 14 choices
C has 15-2 = 13 choices
and so on. We count our way down until we fill up slot F.
The count down looks like this: 15, 14, 13, 12, 11, 10
Multiply out those values: 15*14*13*12*11*10 = 3,603,600
If order mattered, then this represents the number of ways to select 6 flowers from a pool of 15 total.
However, order does not matter in this case. All that matters is the group overall.
For any group of 6 items, we have 6! = 6*5*4*3*2*1 = 720 different arrangements. That means the value 3,603,600 is too large exactly by a factor of 720.
We divide by 720 to get to (3,603,600)/720 = 5005 which is the final answer
It's the number of combinations where we select 6 from a pool of 15.
-------------------------------
As you can guess, you could use the nCr combination formula as an alternative route. Plug in n = 15 and r = 6 like so
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{15} C _{6} = \frac{15!}{6!*(15-6)!}\\\\_{15} C _{6} = \frac{15!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10*9!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6*5*4*3*2*1}\\\\_{15} C _{6} = \frac{3,603,600}{720}\\\\_{15} C _{6} = 5005\\\\[/tex]
In the third to last step, notice how we have the 15*14*13*12*11*10 up top and 6*5*4*3*2*1 down below.
This value 5005 can be found in Pascal's Triangle. Look in the row that has 1, 15, ... and count out 7 spaces from the left. You should arrive at 5005. However, you'll need a fairly large Pascal's Triangle to use this method.
Given:
Total number of flower cuts = 15 different flowers
Number of flowers Jeanine Baker wants to use = 6 flowers
To find:
Total number of ways 6 flowers can be chosen
Steps:
In this question, we need to find the total number of outcomes of choosing 6 random flowers from a total of 15 flowers
Let's give each flowers a letter, so there will be A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.
Now let's find all the outcomes
Outcomes= ABCDEF, ABCDEG, ABCDEH, ABCDEI, ABCDEJ, ABCDEK, ABCDEL, ABCDEM, ABCDEN, ABCDEO.....
This method will take a lot of time so, i am going to use the formula
[tex]No.outcomes = \frac{n!}{r!(n-r)!}[/tex]
Here n = total number of items, and r = number of items chosen
Also the '!' means factorial, or the product of all positive numbers less then or equal to the number, so n! = n * (n-1) * (n-2) ..... * 1
So, now substituting the formula
[tex]No.outcomes = \frac{15!}{6! * (n-r)!}[/tex]
[tex]No.outcomes=\frac{15!}{6! * 9!}[/tex]
[tex]No.outcomes = \frac{15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1*9*8*7*6*5*4*3*2*1}[/tex]
[tex]No.outcomes=\frac{15*14*13*12*11*10}{6*5*4*3*2*1}[/tex] (cutting same numbers)
[tex]No.outcomes = \frac{7*13*3*11*10}{6}[/tex] (simplifying)
[tex]No.outcomes = \frac{30030}{6}[/tex]
[tex]No.outcomes=5005[/tex]
Therefore, the total number of ways the 6 flowers can be chosen is 5005 ways
Happy to help :)
If u need help in this topic feel free to ask
pleaseplease Help mee
Answer:
B. What is the average amount of points Jenny Ortiz scores in a game?
Step-by-step explanation:
Line m passes through points (8,9) and (4,4). Line n is perpendicular to m. What is the
slope of line n?
Answer:
Step-by-step explanation:
here x1=8 , y1=9 , x2=4 , y2=4
using formula
slipe(m)=y2-y1/x2-x1
=4-9/4-8
=-5/-4
=5/4
The area of the triangle below is 4.5 square inches. What is the length of the base?
Answer:
Can you please send the length of the height if possible.
Step-by-step explanation:
Also the the formula to solve this is the exact opposite of Area= base times height divided by 2.
first step you need to do is multiply 4.5 by 2 to get 9. then you have to divide 9 by the height. Then you will get the value of the height. Hope you understood!
Answer: 3
Step-by-step explanation: 3
Need help ASAP pls I have 20 min
Answer:
x > - 8
Step-by-step explanation:
x + 5 > -3
x > - 8
Find BC
Round to the nearest tenth.
7
140°
B
13
Answer:
The answer is
Step-by-step explanation:
This is from khan academy. so You need to watch a video on khan academy to get help.
Identify the center and the radius of the circle.
(x - 1)2 + (y + 3)? = 4
Comparing with Equation of circle( x - h )²+ ( y - k )² = r²,
center of circle = (h,k) = (1,-3)
Radius of circle =√4 = 2unit
You pick a card at random.
4
5
6
What is P(4)?
Write your answer as a fraction or whole number.
Answer:
It is 1/3
Step-by-step explanation:
can i have brainly?
write an expression equivalent to h^6/h^3 in the form of h^m
Answer:
[tex]h^3 = h^m[/tex]
Step-by-step explanation:
[tex]\frac{h^6}{h^3} = h^m[/tex]
6 - 3 = 3
keep the base same, therefore
[tex]h^3 = h^m[/tex]
Hope this helps!
The equivalent expression for the given expression is h³.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is h⁶/h³.
h⁶ can be written as h³×h³
= h³×h³/h³
= h³
Therefore, the equivalent expression is h³.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
#SPJ2
Expand and simplify:
5(x - 2) + 3(1 - x)
(with the steps)
Step-by-step explanation:
5x-10+3-3x
5x-3x-10+3
2x-7
hope it helps
Answer:
2x-7
Step-by-step explanation:
See image below:)
what is the common factor of 2x^3-4x^2-15x
Answer:
kbsishodhohror keviegieh
Answer:
[tex]2 {x}^{3} - 4 {x}^{2} - 15x \\ = x( {2x}^{2} - 4x - 15) \\ [/tex]
Find the mean absolute deviation in the following data set: 23, 42, 36, 63, 31
Answer:
39.2 is the mean
the deviation is 15.2
Step-by-step explanation:
the mean of a set of numbers is the sum divided by the number of terms = 39.2
the deviation measures the spread of a data distribution of the sample = 15.2
Answer:
10.8
Step-by-step explanation:
To find the mean absolute deviation, first you need to find the mean. To find the mean, add up 23 + 42 + 36 + 63 + 31 and you'll get 195. Divide 195 by the total of numbers, which is 5, and you'll get 39.
After finding the mean, you need to find the distance between the mean, which is 39, and the numbers given. 23 is 16, 42 is 3, 63 is 24, 31 is 8, and 36 is 3. Then, you'll need to calculate the mean of the distances that you got.
16 plus 3 plus 24 plus 8 plus 3 = 54. Once you got this, divide 54 by the total of numbers, which is 5, and you'll get 10.8.
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77 boxes
Step-by-step explanation:
Step 1:
Lana's troop must sell 1000 boxes of cookies, but there are 13 girls in total. Supposing that each girl will sell an equal amount of boxes, we can simply divide:
[tex]1000[/tex]÷[tex]13\approx76.92[/tex] boxes.
Step 2:
However, it would seem unlikely that the girls would decide to sell fractions of a box of cookies. We should round...up or down?
If we round down, each girl will sell 76 boxes of cookies. Hmm... then they would'nt be able to sell a total of 1000 boxes of cookies! We need to round up.
Therefore, each girl should sell at least [tex]\fbox{77}[/tex] boxes.
I hope this helps! Let me know if you have any questions :)
Which numbers are divisible by 10?
A)635
B)950
C)953
Find the measure Of K
Answer:
K = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin K = 11 / 61
Taking the inverse sin of each side
sin ^-1 ( sin K) = sin ^-1 (11/61)
K =10.38885782
K = 10
Juan has a box that is 3 feet long , 2 feet wide ,and 3 feet high . What is the volume of the box?
Answer:
18
Step-by-step explanation:
3*3*2
9*2
18
Finding simple interest without a calculator
Diane deposits $800 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 3 years
Answer: you answer is 120.
Step-by-step explanation: all you have to do is multyply 800*.15 because that is how much present it is.
please mark me brainiest
I = prt
I= 800×0.05×3= 120
Answer- 120 $
a block is pulled 0.90m to the right in 2.4s what is the blocks average speed to the nearest hundredths of m/s
Answer:
[tex]0.38\:\mathrm{m/s}[/tex]
Step-by-step explanation:
Average velocity is given by [tex]v=\frac{\Delta x}{\Delta t}[/tex], where [tex]\Delta x[/tex] is displacement and [tex]\Delta t[/tex] is change in time.
What we know:
[tex]\Delta x[/tex] is [tex]0.90\:\mathrm{m}[/tex] [tex]\Delta t[/tex] is [tex]2.4\:\mathrm{s}[/tex]Solving for [tex]v[/tex]:
[tex]v=\frac{0.90}{2.4}=0.375\approx\boxed{0.38\:\mathrm{m/s}}[/tex]
Bob rents a dump truck. The dump truck costs
$85 per day and $0.35 per mile. Which expression
below would help Bob figure out how much (p) the
rental will cost him for a day?
Answer:
[tex]\text{d) }p=0.35x+85[/tex]
Step-by-step explanation:
Since the 85 dollar fee is fixed, there should be no coefficient or constant that accompanies it. However, the total cost of the miles is directly proportional to the number of miles he drives. Thus, 0.35 should be accompanied by a constant that represents the total number of miles he drove. In this case, that constant is [tex]x[/tex] and [tex]0.35x[/tex] will represent the cost from the number of miles he drives in addition to the 85$ flat fee, hence [tex]\implies \boxed{\text{d) }p=0.35x+85}[/tex]
Which polynomial is factored completely?
Answer: fourth answer
Step-by-step explanation:
you cant factor it