The equation computed shows that the sum of the complex number is D. 13 + 12i.
How to solve an equation?From the information given, the thing that we have to do is to simply collect the like terms and solve the equation.
Therefore, the sum of (3 + 5i) + (10 + 7i) will be calculated thus:
= (3 + 5i) + (10 + 7i)
= 3 + 10 + 5i + 7i
= 13 + 12i
Learn more about equations on:
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What are the solutions to the equation x2+9x+12=6?
Answer:
B displays correct solutions for x² +9x +12 = 6
step-by-step explanation:
[tex]\rightarrow \sf x^2 + 9x + 12 = 6[/tex]
[tex]\rightarrow \sf x^2 + 9x +12 -6 = 0[/tex]
[tex]\rightarrow \sf x^2 + 9x + 6 =0[/tex]
use the formula: [tex]\sf \bold{x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a } \ \ when \ \ \ ax^2 + bx + c = 0}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -9 \pm \sqrt{(-9)^2 - 4(1)(6)}}{2(1)}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -9 \pm \sqrt{57}}{2}[/tex]
[tex]\rightarrow \sf x = \dfrac{ -9}{2} +\dfrac{\sqrt{57}}{2}[/tex] ; [tex]\sf x = \dfrac{ -9}{2} -\dfrac{\sqrt{57}}{2}[/tex]
I want to understand how to set it up to be able to answer. I am to use a Taylor Polynomial to estimate e to at least 3 decimal places.
Answer:
A Taylor series approximation uses a Taylor series to represent a number as a polynomial that has a very similar value to the number in a neighborhood around a specified x value: f ( x ) = f ( a ) + f ′ ( a ) 1 ! ( x − a ) + f ′ ′ ( a ) 2 !
Step-by-step explanation:
For each question find the missing angle and give a reason for your answer.
(Don't forget to show your working!)
1.
2.
3.
135
50"
a
72
154
c
4.
5.
6.
135
115
120
82
*
%
e
of
7.
8.
9.
25
30°
с
83'd
d
54"
10.
11.
12.
܀
cº
bº
140
76
87
135
130 /
d
13.
14.
15.
52
e
X
74
136
97
e
86
37
Answer:
ormal blood pressure for most adults is defined as a systolic pressure of less than 120 and a diastolic pressure of less than 80. Elevated blood pressure is defined as a systolic pressure between 120 and 129 with a diastolic pressure of less than 80.
Step-by-step explanation:
18 lollipops and 36 candy bars whats the ratio of lollipops to candy bars
Answer:
1:2
Step-by-step explanation:
18:36
Simplify:
36÷2=1, making 2 a good 2nd term
There are 2 candy bars every 1 lollipop.
1:2
1:2 is the ratio of lollipops to candy bars.
What is ratio?The relationship in quantity, amount, or size between two or more things.
Given that there are 18 lollipops and 36 candy bars,
Ratio = 18/36 = 1/2
Hence, 1:2 is the ratio of lollipops to candy bars.
For more references on Ratio, click;
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Find the value of x. Please help me with this?
The interior angles of any triangle sum to 180° in measure, and in ∆ABC, the angles at vertices A and C are congruent. If we call their measure a, then
24° + 2a = 180° ⇒ 2a = 156° ⇒ a = 78°
The angle at vertex C and the angle with measure (2x - 18)° are supplementary, meaning they add up to 180° :
a + (2x - 18)° = 180°
Solve for x :
78° + (2x - 18)° = 180°
(2x - 18)° = 102°
2x = 120
x = 60
Simplify.
(5n2−4n+6) + (4n2−2n−3)
9n2+6n+9
9n2−2n−3
9n2−6n+3
9n4−6n2+3
Answer:
Let's simplify step-by-step. 5n2−4n+6+4n2−2n−3
=9n2−6n+3
An office manager budgeted $400 for
office supplies. The manager ordered
2 toner cartridges for $89 each and a
box of printer paper for $27. Each price
includes tax.
What is the greatest number of
additional boxes of printer paper the
manager can order with the money left
in the budget?
A. 2
B. 7
C. 8
D. 10
Answer:
B. 7
Step-by-step explanation:
To find this out, first, we multiply 89*2, which is 178, the amount already spent on toner.
Then, we add 27 to this to find the total amount spent so far. This comes out to $205 spent so far.
To find out how much we have left to spend, we subtract the amount spent from the original.
400-205 = $195, the amount of money left.
To find out how much paper we can buy, we divide the cost of one paper box, by the amount of money we have left.
195/27 = 7.222222222222222222222222222222
Since we cannot buy 7.222222222222222222222222 boxes, we can only buy 7. This is the answer.
given right triangle ABC with altitude BD drawn to hypotenuse AC. If BD = 10 and DC = 25, what is the length of AC
Answer:
10
Step-by-step explanation:
Of the twenty-two students in a classroom, ten are transfer students, seven are nursing students, four are AAS students and one student is undecided:
If one student is chosen randomly, find the probability that the student is not an AAS student.
Answer:
WILL GET MARKED BRAINLIEST IF RIGHT! ( please look at picture )
Jewel spins the pointer of a spinner. The spinner has 7 equal-sized sections labeled 1 to 7. What is the probability that Jewel will spin a 7?
Answer:
14
Step-by-step explanation:
It's a probability, divide favorable outcomes to total outcomes
Answer:
14%
Step-by-step explanation:
There are 7 sections of equal size.
The total number of possible outcomes is 7.
There is one single outcome that is desired, landing on 7.
probability of an event = (number of desired outcomes)/(total number of possible outcomes)
p(7) = 1/7 = 0.142857... = 14%
Answer: 14%
Been staring at my screen for awhile at this. Please help!
1. Create a grid that is 5 squares wide by 2 squares tall. Shade 8 squares as shown above.
A. Look at the shaded:total in the gizmo table. What decimal and percent are modeled by the shaded squares?
Decimal: 0.8Percent: 80%Decimal part =
10 squares
8 shaded
0.2=2 squares shaded
so
8 squares shaded = 0.8
Percent part =
if 100% = 1 whole
1 whole = 10 blocks in gizmo table
then
8 blocks in gizmo table = 80%
since
1 block = 10%
10%x8=80
80%
B. Look at the unshaded:total row. What decimal and percent by the unshaded squares?
Decimal: 0.2Percent: 20%Decimal part:
If there are 2 unshaded squares
and we know that 1 square = 0.1
then, 2 squares = 0.2
0.2
Percent part:
if we know that 10 blocks = 1 whole
and 1 block = 10%
then 2x10%=20%
20%
1. The Gizmo gives two equivalent (equal) fractions — simplified and unsimplified — for the shaded:total and unshaded:total ratios. Record them below. (to see why these are equivalent, notice how many shaded and unshaded squares are in each row of the grid.)
[tex]\frac{shaded}{total}=\frac{8}{10}=\frac{4}{5}[/tex] [tex]\frac{unshaded}{total} =\frac{2}{10} =\frac{1}{5}[/tex]
Thanks!
Mark me brainliest!
~[tex]FieryAnswererGT[/tex]~
Answer:
Decimal : 0.8
percent: 80%
decimal: 0.2
percent: 20%
shaded/total = 8/10 = 4/5
unshaded/total = 2/10 = 1/5
Please mark "FieryAnswererGT" brainliest.
The graph shows the distance $y$ (in miles) that a bus travels in $x$ hours. Find and interpret the slope of the line.
The slope of the line is (Answer here)
. The bus is traveling at a speed of (Answer here)
miles per hour.
Answer:
Slope is 60/1 or simply 60. Miles per hours is also 60
Step-by-step explanation:Rise/Run Up60 Over1 which is why slope =60, mph is same as slope or just calculate how many miles car goes in one hour by reading the graph.
What is the quotient of 2.538 x 10^9 and 2.7 x 10^2
Answer:
quotient means divide
the two terms
Step-by-step explanation:
2,538×10^9÷2,7×10^2
photo attached thank you
number 2
Proportion and give 6:8= n :12
Answer:
n = 9
Step-by-step explanation:
6/8 = n/12
(6/8)(12) = (n/12)(12)
n = 9
The points (-2, 6) and (2, r) lie on a line with slope 3. Find the missing coordinate r.
Solve for x. Please look at the picture and answer it. Thank you.
Answer:
ans = 9 degree
Step-by-step explanation:
81 + (4x) + (5x+18) = 180 (The sum of all angles of triangle is 180 degree)
81 + 4x + 5x + 18 = 180
99 + 9x = 180
9x = 180 - 99
9x = 81
x = [tex]\frac{81}{9}[/tex]
x = 9 degree
find the circumference and the area of a circle with diameter of 6 ft
use 3.14
Answer:
Step-by-step explanation:he equation for circumference is:
c=2%28pi%29r
The equation for area is:
a=%28pi%29r%5E2
First, we'll find the circumference.
The 'r' in the equation stands for radius. The radius of a circle is half of its diameter, so the circle's radius is half of 6--3 inches.
So, we can substitute 3 in for 'r' and 3.14 in for pi
c=2%28pi%29r
c=2%2A3.14%2A3
Then, we can simply multiply.
c=2%2A3.14%2A3
c=18.84
Therefore, the circumference of the circle is 18.84
Next, we'll find the circle's area.
Again, we can substitute 3 in for 'r' and 3.14 in for pi
a=%28pi%29r%5E2
a=3.14%2A3%5E2
The, we'll square three and multiply.
a=3.14%2A3%5E2
a=3.14%2A9
a=28.26
Therefore, the circumference is 18.84 and the area is 28.26.
Hello. Can someone please help me with this probability math homework? Appreciated
hope it's helpful at you all
Question 15
1 pts
Miranda wants to use a 15% off coupon on her $120 purchase at Macys.com. She is trying to
figure out how much she will save.
Which equation is the correct way to determine the accurate amount?
120 - 15% = x
120 - 15% = x
120 + 15% = x
120 + 15% = x
Question 16
2 pts
Answer:
120 - 15% × 120 = x
Step-by-step explanation:
All given answers are incorrect.
15% means 0.15
She is not subtracting 15% or 0.15 from 120.
She is subtracting 15% of 120 from 120.
The correct answer is
120 - 15% × 120 = x
Solve this Question.
Answer:
x = 1
explanation:
[tex]\sf \rightarrow \dfrac{3}{x} -1 = 2[/tex]
[tex]\sf \rightarrow \dfrac{3}{x} = 2+1[/tex]
[tex]\sf \rightarrow \dfrac{3}{x} = 3[/tex]
[tex]\sf \rightarrow {3} = 3(x)[/tex]
[tex]\sf \rightarrow \dfrac{3}{3} = (x)[/tex]
[tex]\sf \rightarrow x = 1[/tex]
checking if x = 1,
[tex]\sf \rightarrow \dfrac{3}{1} -1 = 2[/tex]
[tex]\sf \rightarrow3 -1 = 2[/tex]
[tex]\sf \rightarrow 2 = 2[/tex]
→ Hence proved x : 1 as L.H.S = R.H.S
Step-by-step explanation:
[tex] \frac{3}{x} - 1 = 2 \\ [/tex]
Adding 1 on both sides, we get[tex] \frac{3}{x} - 1 + 1 = 2 + 1 \\ \frac{3}{x} = 3[/tex]
By performing cross multiplication, we get[tex]3 \times x = 3 \times 1 \\ 3x = 3[/tex]
Dividing both sides by 3, we get
[tex] \frac{3x}{3} = \frac{3}{3} \\ x = 1[/tex]
Hence, the value of x is 1.What is 15% of 130.00
Mario has $50, which is $8 more than twice the amount of money that Kevin has. How much money does Kevin have?
Answer:
21
Step-by-step explanation:
First you would subtract 8 from 50 (50 - 8). Once you have that answer, 42, you divide it in half (42/2). Your final answer is 21. The full equation is:
(50 - 8)/2
the following constitute digital measuring devices.which object does not ? a. a stopwatch on a smart phone b. A digital thermometer c. the temperature measured on dashboard of a car d. the ringing of the chimes on church clock
Answer:
c. the temperature measured on dashboard of a car
Step-by-step explanation:
hope it helps you
In the diagram, SOP GNQ. Find the value of x.
Answer:
D. 33
Step-by-step explanation:
Triangle OSP is dilation of 1.5 of triangle NGQ, and side SP corresponds to side GQ.
22*1.5 = 33
Hope this helps :)
can you help me with question
Solve the equation algebraically.
2lnx + 7 = ln(4x) + 10
Round your final answers to two decimal places.
Answer:
x = 80.34 (2 dp)
Step-by-step explanation:
[tex]2\ln(x)+7=\ln(4x)+10[/tex]
[tex]\implies \ln(x^2)+7=\ln(4x)+10[/tex]
[tex]\implies \ln(x^2)-\ln(4x)=10-7[/tex]
[tex]\implies \ln\left(\dfrac{x^2}{4x}\right)=3[/tex]
[tex]\implies \ln\left(\dfrac{x}{4}\right)=3[/tex]
[tex]\implies e^{\ln\left(\dfrac{x}{4}\right)}=e^3[/tex]
[tex]\implies \dfrac{x}{4}=e^3[/tex]
[tex]\implies x=4e^3[/tex]
[tex]\implies x=80.34 \textsf{ (2 dp)}[/tex]
The scatterplot shows the relationship of scores for students who took a math test and history test. Based on a line of best fit, what score would be the BEST prediction for a student's history test if they made a 60 on their math test?
A) 50
B) 60
C) 70
D) 75
Answer:
c
Step-by-step explanation:
lucky guess
Is 0.88 greater than 1.5?
Answer:
No 1.5 is greater than 0.88
Step-by-step explanation:
Your Welcome please Mark Brainliest
- Nathaniel Cross
What are all the ZEROS? Show all the work!
(2x+6)(x-4)
Answer:
4 and -3
Step-by-step explanation:
2x+6=0
2x=-6
-3
x-4=0
x=4
So its 4 and -3
Answer:
-3,4
Step-by-step explanation:
(2x+6)(x-4) = 0
Using the Zero Factor Principle: If ab =0 then a=0 or b=0
2x+6=0 or X-4=0
solve 2x+6=0:
2x+6=0
Subtract 6 from both sides
2x+6-6 0-6
Simplify
2x = -6
Divide both sides by 2
2x/2 = -6/2
Simplify
X=-3
then x-4 =0
add 4 from to both sides
x=4
zeros : -3,4
(-3,0),(4,0)