Answer:
z = 7 - 13i
Step-by-step explanation:
A complex number has the form
z = a + bi ( where a is the real part and bi the imaginary part )
Here a = 7 and bi = - 13i, thus
z = 7 - 13i
Item 10 Question 1 Solve the equation y/3=5 .
Answer:
y = 15
Step-by-step explanation:
y/3 = 5
Multiply each side by 3
y/3 *3 = 5*3
y = 15
Write 2.08 x 10^2 in standard form.
Answer:
208
Step-by-step explanation:
If you multiply 2.08 by ten to the second power (100) Then you get 208
Scientific notations are the way through which a very small or a very large number can be written in shorthand. The given expression can be written in the standard form as 208.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
The given expression can be written in the form of an expression as shown below.
2.08 x 10²
= 2.08 × 100
= 208
Hence, the given expression can be written in the standard form as 208.
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Jon makes $78 in 12 hours of work for his mom. How much would Jon make in 1 hour of work?
Find the values of R, P, and Q that make the polynomial addition problem true. Write your answer in this order: R, P, Q. \left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7 (12x 5 +Rx 4 +Px 2 −5)+(−6x 5 −4x 4 +13x+Q)=6x 5 +3x 4 +9x 2 +13x+7
Given:
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
To find:
The values of R, P and Q.
Solution:
We have,
[tex]\left(12x^5+Rx^4+Px^2-5\right)+\left(-6x^5-4x^4+13x+Q\right)=6x^5+3x^4+9x^2+13x+7[/tex]
On combining like terms, we get
[tex](12x^5-6x^5)+(Rx^4-4x^4)+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
[tex]6x^5+(R-4)x^4+Px^2+13x+(Q-5)=6x^5+3x^4+9x^2+13x+7 [/tex]
On comparing the coefficients of [tex]x^4[/tex], we get
[tex]R-4=3[/tex]
[tex]R=3+4[/tex]
[tex]R=7[/tex]
On comparing the coefficients of [tex]x^2[/tex], we get
[tex]P=9[/tex]
on comparing the constants, we get
[tex]Q-5=7[/tex]
[tex]Q=7+5[/tex]
[tex]Q=12[/tex]
Therefore, [tex]R=7,P=9[/tex] and [tex]Q=12[/tex].
- You study 4 hours per day and are in class 6 hours
per day. Find the ratio of the number of study hours to
class hours.
Answer:
2/3
Step-by-step explanation:
Initially it would be 4/6 which you can simplify as 2/3
1. This year 60 out of 300 students at Irons Middle School signed up for art. Next year, enrollment is expected
to increase to 340 students. About how many students will likely sign up for art?
A portion of a map with cities A and B is shown. The map uses a scale of 1 inch =15 miles. You are making a map with a scale of 2 inches = 25 miles How far apart are cities A and B on your map?
Calvin starts a business and has to
take out a loan of $500. He makes
a profit of $200 during the first
month and then for the next two
months records a profit of $-20
and the fourth month made a
profit of $300. What is the total
profit for the first four months of
Calvin's business?
Answer:
-40
Step-by-step explanation:
A LOT OF POINTSS
find the surface area
Answer:
He used 286.73² in. of wrapping paper.
Answer:
I got 286.73
Step-by-step explanation:
I found the area of all the shapes in the thing and added them.
Pls correct me if I did the adding wrong cuz its 55+20+20+88+103.73
A survey was conducted of students at a highschool and at a college to determine students favorite subjects. The results are shown in the table. What percentage of the students are college students that prefer history?
Highschool-
history(80)
math (50)
science (70)
total(200)
College-
history (70)
math(60)
science (70)
total (200)
History total (150)
Math total (110)
science total (140)
Answer:35%
Step-by-step explanation:
So I’m not sure this is high school math because i’m still in grade school but...
So what you have to do is make a ratio
so if 70 students out of 200 in college prefer history the ratio should be 70 to 200 or 70:200
Then you want to do 70 * 200 which then you get a answer of .35
then to make .35 into a percent you move the decimal two spaces to the left for a answer of 35%
Hope this helps!
A total of 17.5% of students are college students that prefer history.
What is Percentage?Percentage is defined as the parts of a number per fraction of 100. We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
So the percentage actually means a part per 100.
Percentage is usually denoted by the symbol '%'.
Total number of students = 400
Number of college students that prefer history = 70
Percentage is the division of the required number with the whole.
Percentage of students who are college students that prefer history is,
= (70 / 400) × 100
= 17.5%
Hence the percentage of students who are college students that prefer history is 17.5%.
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hellllp me with this plz thaks
A city planner wants to build a road parallel to 2nd Ave . What is the slope of the new road?
Answer:
0
Step-by-step explanation:
The slopes of parallel lines are equal.
Since the slope of the 2nd Ave. line is horizontal, it has no slope.
This means that the new road should also have no slope.
Hope this helps.
The 2nd-eve line is horizontal then the slope of the line will be zero.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is defined as the ratio of the rise to the run.
Given that a city planner wants to build a road parallel to 2nd Ave. The 2nd eve has the horizontal line.
The slope of the line will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 0 - 0 ) / ( -4 + 2 )
Slope = 0
Therefore, the 2nd-eve line is horizontal then the slope of the line will be zero.
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I think the answer is:
- 2(5x+3)/(x+1)(x-5)(x+3)
But another person said:
10x-6/(x+3)(x+1)(x-5)
Who is correct? *Btw for my answer the whole fraction is negative not just the top or bottom.*
Is (1,1) a solution to this system of inequalities
Which expression has the greatest value?
A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2
the answer is c you just have to solve each one
best get brainly !!.!.!!:
Answer:96
Step-by-step explanation:
Answer:
the answer is 97
Step-by-step explanation:
what are the x-intercepts of this graph (show ur work)
Answer:
X intercepts are (-2, 0) and (4,0). it shows on the graph. I wear glasses and I can clearly see. Did u lose ur eyes in iraq or sm????
Step-by-step explanation:
See attachment for math work and answer.
You can also express the x-intercepts as points: (-2, 0) and (4, 0).
3(7 + x) verbal expression
Answer:
21+3x
Step-by-step explanation:
multiply the 3 by everything inside the parentheses
Can someone please help me please asap ?? I’ll mark brainlist !!!
Answer:
C
Step-by-step explanation:
Suppose the size of each cube is doubled and the size of the large box is doubled. How many of these new cubes would fit? Explain how you found your answer.
A bird was flying 26 feet above a lake. It descended 28 feet to grab a fish. What integer represents the depth of the fish when the bird grabbed it
Answer:
it's -2
Step-by-step explanation:
just subtract ☺️
Answer:
-2
Step-by-step explanation:
"For whatever reasons, Ray, call it . . . Fate, Call it Luck, Call it Karma. I believe everything happens for a reason. I believe that we were destined to get thrown out of this dump."-Dr. Peter Venkman (GhostBusters)
I need help with the #1 question. please help me
Answer:
The answer to number 1 is geometric sequence of A>
Step-by-step explanation:
a=20 cm
b=48 cm
What is the length of c?
Find the value of y given the value of x for y = 3 -4.3x when x = -3
Answer:
y = 15.9
Step-by-step explanation:
y = 3 - 4.3x
y = 3 - 4.3(-3)
y = 3 + 12.9
y = 15.9
Answer:
Step-by-step explanation:
y=3-4.3x
y=3-(4.3*3)
y=3-12.9
y=-9.9
Hello, please help me with the following questions attached. It’s due at 11:59 pm and I really don’t know cause tbh I haven’t been paying attention in that class.
Answer: 3) 3/4 5) (0,1)
Step-by-step explanation:
For number 3 you go rise over run. From the point on the y-axis you rise 3 and then run 4 to the x-axis if that makes any sense
1. please start to pay attention
1. an undefined slope is vertical
2. 90-70/15-3 = 20/12 = 10/6 = 5/3
3. 3/4 (rise over run)
4. slope: -1/5 y-intercept: 12
5. 1
6. y = 1/2x +b
3 = 1/2(1) +b
3 = 1/2+b
subtract 1/2 from both sides
2 1/2 = b
y = 1/2x + 2 1/2
which equaiton applies the assosiative property of multiplication
Answer:
3
Step-by-step explanation:
f(x)=(x-1)^2(x+3)^3(x+1)
the zero located at x=1 has a multiplicity of ( blank1 ) and the zero located at x=-3 has a multiplicity of ( blank2 ). The graph of the function will touch, but not cross , the axis at an x-value of (blank3)
blank1: 1,2,3
blank2:1,2,3
blank3: 1 only, -3 and 1 only, -3 only, (-3,-1 and 1),-1 only
Answer:
Step-by-step explanation: here ya go g
Given the replacement set {0, 1, 2, 3, 4}, solve 5x - 4 = 16.
x = 0
x=2
X = 2
x=3
X = 3
x = 4
Answer:
the answer is x=4
Step-by-step explanation:
5x-4=19
5x=16-4
5x=20
x=4. (dividing both sides by 5)
[3.5x10^6]-[1.5x10^5] in scientific notation
Answer:
3.35 × 10^6
Step-by-step explanation:
ANSWER!!!!! PLEASE!!!!!! QUCKLY NOWWW!!!!
A candy manufacturing plant manufactures 18,000 pieces of candy in an 12 hour shift. The candy produced varies directly with the hours worked. How many pieces of candy can be manufactured in a 4 hour shift?
Answer:
6000 pieces of candy will be made in a 4 hour shift
Step-by-step explanation:
the ratio is 18000/12 if you find the unit it would be 1,500 pieces per 1 hour. multiply that by 4 and you would get 6000.