Answer:
[tex] - \frac{36}{65} + \frac{63}{65} i[/tex]
Step-by-step explanation:
[tex] \frac{9}{ - 4 - 7i} [/tex]
➡️ [tex] \frac{9( - 4 + 7i)}{( - 4 - 7i) \times ( - 4 + 7i)} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 {i}^{2} } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 - 49 \times ( - 1) } [/tex]
➡️ [tex] \frac{ - 36 + 63i}{16 + 49} [/tex]
➡️ [tex] \frac{ - 36 + 63i}{65} [/tex]
➡️ [tex] - \frac{36}{65} + \frac{63}{65} i[/tex] ✅
Write the scientific notation for 127.5. Please! And tell me how so I can learn too.
The bases of a prism are always
A. perpendicular
B. parallel
C. intersecting
D. rectangles
Answer:
D. rectangles
Step-by-step explanation:
Perpendicular is when they cross but the base isn't perpendicular
Parallel is when two lines never touch, but in the base of a prism there are lines that touch
Intersecting is when two or more lines meet and cross over each other
Multply 7/8 to 2-1/3
Answer:
17/12
Step-by-step explanation:
7/8 x 2-1/3
7/4-1/3
17/12
WHOEVER ANSWERS FAST AND CORRECT GETS BRAINLIEST! (PICTURE INCLUDED)
Write an algebraic expression for 4 more than 3 times a number. (5 points) Part B: Write a verbal expression for 2(n + 9). (5 points)
Answer:
2n+18
Step-by-step explanation:
2xn=2n
2x9=18
2n+18
Answer:
A) 3x+4
B) Twice of sum of a number and 9.
Describe how the graph y = 2x is the same and different from the graph
y = 2x + 7. Explain or show your reasoning.
Answer:
The slope is the same, whereas b is the y-intercept on the graph, so the y=2x+7 line would be on 7 on the y-axis
Step-by-step explanation:
30 points!
You start at (-2, 2). You move left 3 units and right 10 units. Where do you end?
Answer:
The answer is (5, 2)
Step-by-step explanation:
I. If move left = -x
move right = +x
So -2 - 3 = -5 => move left
-5 + 10 = 5 => move right
I suggest that move left and right is x cordinate
The answer is (5,2)
Is that correct?
Please help me with number 2?
Answer:
y= 2× +4
Step-by-step explanation:
Slope intercept form y = mx +b
4x -2y = -8
-2y = -4x-8
y = 2x +4
slope = 2x
y intercept = 4
i need the answers for all three of those
Answer:
1) = -10
3) = 4
Step-by-step explanation:
Chow,...!
12. A jet stream can move a particle of air
11 miles in 5 minutes. At this rate, how far
will the particle move in 1 hour?
(5 minutes = 1 hour) (Example 1)
Answer:
132 particles
Step-by-step explanation:
5 minutes = 11 miles
1 hour (60 minutes)
11*x = 11 x 60 = 660
11x = 660/5=132
The distance of a jet stream can move a particle of air 132 miles in 1 hour.
Here,
A jet stream can move a particle of air 11 miles in 5 minutes.
We have to find, The distance of particles move in 1 hour.
What is distance?
The length along a line or line segment between two points on the line or line segment.
Now,
A jet stream can move a particle of air 11 miles in 5 minutes.
5 minutes = 11 miles
Then, for 1 minute a jet stream can move a particle of air = 11 / 5 miles
Hence, In 1 hour ( 60 minutes) a jet stream can move a particle of air;
⇒ [tex]\frac{11}{5} * 60 = 132[/tex]
So, The distance of a jet stream can move a particle of air 132 miles in 1 hour.
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1.What is the number?
The number is not an odd number
It has exactly four factors
If you reverse the digits, a prime number is formed
The sum of the digits is a two digit prime number
The number is less than the square root of 10^4
One of the digits is a square number
Prime number or u also can write palindromic number
Answer:
15647569
Step-by-step explanation:
1+1
How to do problem 17
Imagine that you must cross the hallway staying an equal distance from each laser. Il you get closer to one laser than the other, it will blast you. Use a compass and straightedge to draw a safe path through the hallway.
Answer:
can you answer this first
The discussion is shown below:
what is data?In computing, data is information that has been translated into a form that is efficient for movement or processing.
A hall way with laser imagine that you must cross the hall way while staying at equal distance from each laser.
So, from the question we can consider the a point o which is in between laser 1 and laser 2.
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Kate collected a sample of monthly rents and recorded the following numbers:
$500, $525, $550, $600, $600, $750, $775, $800, $1350.
If Kate drops the unusually high rent of $1350 from the data set, which of the following would NOT be affected?
a.) The highest monthly rent
b.) The average monthly rent.
c.) The most frequent monthly rent.
d.) The spread of the monthly rents
The property that they would never be affected by is the most frequent monthly rent. Option C is correct.
Given that,
Kate collected a sample of monthly rents and recorded the following numbers: $500, $525, $550, $600, $600, $750, $775, $800, $1350. Kate drops the unusually high rent of $1350 from the data set, which of the following would not be affected is to be determined.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
If the rent of $1350 is dropped by Kate, definitely affect the average, highest monthly rent, and the spread of the monthly sheet, but it won't affect the most frequent monthly of rent because the most frequent rent is $600.
Thus, the property that they would never be affected by is the most frequent monthly rent. Option C is correct.
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can anyone plz with steps (not for useless man )
[tex]\boxed{\sf \displaystyle{\lim_{x\to a}}(x^n)=a^n}[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}(\sqrt{3x}-\sqrt{x-5})[/tex]
[tex]\\ \sf\longmapsto \displaystyle{\lim_{x\to \infty}}\sqrt{3x}-\displaystyle{\lim_{x\to \infty}}\sqrt{x-5}[/tex]
[tex]\\ \sf\longmapsto \infty^{\dfrac{1}{2}}-\sqrt{\infty-5}[/tex]
[tex]\\ \sf\longmapsto \infty-\sqrt{\infty}[/tex]
[tex]\\ \sf\longmapsto\infty-\infty[/tex]
[tex]\\ \sf\longmapsto\infty[/tex]
You and your family are planning a vacation of a lifetime around the world that will cost $25,000. You borrowed this amount from your bank with an annual interest rate of 10.5%. You decided to pay it back in 5 years. What is the interest that will accrue on this loan?
$3,125.00
$131,250
$13,125.00
$312.50
Answer:
$13,125
Step-by-step explanation:
The value of the interest that will accrue on this loan will be;
⇒ $13,125
What is Simple interest?A quick and easy method of calculating the interest charge on a loan is called a Simple interest.
Given that;
You and your family are planning a vacation of a lifetime around the world that will cost $25,000.
And, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Now,
Since, You borrowed this amount from your bank with an annual interest rate of 10.5%.
Hence, The total interest amount after five years is,
⇒ 5 × (10.5% of $25,000)
⇒ 5 × (10.5/100 × 25,000)
⇒ 5 × 2,625
⇒ $13,125
Thus, The total interest amount after five years = $13,125
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prove that the following arguments are valid by using formal proof. 1, if studies medicine be will get a good job,if they gets a good job,he will get a good wage,he did not get good wage therefore,he did not study medicine.
The argument; if he did not get a good wage, then he must not have studied medicine is valid.
What is valid proof?Let P represent "He studies medicine"
Let Q represent "He gets a good job"
Let R represent "He gets a good wage"
The argument can be written as:
P → Q
Q → R
¬R
∴ ¬P (conclusion: he did not study medicine)
Assume for contradiction that the argument is invalid:
P → Q
Q → R
¬R
P (assumption for contradiction: he studied medicine)
Use modus ponens to derive Q from (5) and (1):
Q (from 1 and 5 using MP)
Use modus ponens again to derive R from (6) and (2):
R (from 2 and 6 using MP)
This contradicts ¬R in (3), so our assumption in (5) must be false. Therefore, we can conclude that the argument is valid:
¬P (from contradiction of assumption in (5))
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There are five boys to every three girls in an introductory chinese course. If there are 384 students enrolled in the course. how many are boys?
real life example of a ray
sun ray in space with the sun being the endpoint
Suzie determined the range of a quadratic function to be y ≤ –5. Choose the correct interval notation.
The range of equation is
interval :(-5, ∞)interval :[-5, ∞)interval: (-∞, -5)interval: (-∞, -5]What is interval?A interval is a set of real numbers that contains all real numbers lying between any two numbers of the set.
Given function : y ≤ –5
if, y > -5 then,
interval :(-5, ∞)
if y ≥ -5 then
interval :[-5, ∞)
if y < -5 then
interval: (-∞, -5)
if y ≤ -5 then
interval: (-∞, -5]
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The area of a children square playground is 50m squared.
a. what is the exact length of the playground
2. pine logs 3m long are to be laid around the playground. How many logs will need to be bought?
Answer:
a. solution
Area = 50 m^2
Area of square = l^2
or, 50 m^2 = l^2
or, √50m^2 = l
or, 5√2 m= l
Hence, The exact length of the playground is 5√2 m.
5x²+4x+3=0 solve for x
Answer:
[tex]{ \underline{ \sf{x \: is \: \: \{ \frac{ - 5 + i \sqrt{35} }{10} \} } \: \: and \: \: \{ \frac{ - 5 - i \sqrt{35} }{10} \}} }[/tex]
Step-by-step explanation:
[tex]5 {x}^{2} + 4x + 3 = 0 [/tex]
from quadratic formular:
[tex]{ \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }} [/tex]
general equation:
[tex] {ax}^{2} + bx + c = 0[/tex]
a is 5, b is 4 and c is 3:
substitute in formular:
[tex]{ \sf{x = \frac{ - 5± \sqrt{ {5}^{2} - (4 \times 5 \times 3) } }{(2 \times 5)} }} \\ \\ { \sf{x = \frac{ - 5± \sqrt{ - 35} }{10} }}[/tex]
but from complexes, i² = -1
[tex]{ \sf{x = \frac{ - 5± \sqrt{35 {i}^{2} } }{10} }} \\ \\ = { \sf{x = \frac{ - 5±i \sqrt{35} }{10} }}[/tex]
Simplify: show all your steps 30 POINTS!
Answers Please i gave the most amount of points i could!!!
Answer:
its c
Step-by-step explanation:
Name a point that is coplanar with points H, D, and A.
E
F
P
B
Which number should replace Z?
A 7
B 6
C 5
D 4
Answer:
2 sorry i don't know that's what answer i got
George has $15. He tries to buy a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each) but he does not have enough money. Look at the numerical expression George used: 15-9+2.65+1.35+2(1.74)
Why does George need to fix the expression?
George needs to fix the expression because if you did the equation as is, it wouldn't subtract the added value from 15.
George always requires $1.48.
How to estimate the value of the expression?The order of operations exists as a law that tells the correct sequence of measures for considering a math expression. We can determine the mandate utilizing PEMDAS: Parentheses, Exponents, Multiplication, and Division (from left to right), Addition, and Subtraction (from left to right).
Given: George tries to purchase a movie ticket ($9.00), a pretzel ($2.65), a drink ($1.35), and two veggie cups ($1.74 each)
9 + 2.65 + 1.35 + 1.74 + 1.74 = 16.48
Subtract 15 to 16.48
15 - 16.48 = 1.48
George always needs $1.48.
Therefore, the proper answer is $1.48.
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What is a rational number between 1/3 and 1/9?
Answer:
1/4
Step-by-step explanation:
its 0.25 which is rational. and its between the two.
3. Write a word phrase using 10x(14+11)
Answer:
10 multiplied by the sum of 14 and 11
Step-by-step explanation:
[tex].[/tex]
I need to find all real values of x from this inequality x^2>2x-2 and also this question x^2>2x+2. I need the answer fast with working out pls
[tex]x^2\gt2x-2[/tex]
[tex]x^2-2x+2\gt0[/tex]
You are essentially asking at this point where is the quadratic function greater than 0. To get the interval find the roots. Between the roots the function is guaranteed to be LESS THAN zero. Everywhere else the function is greater than 0.
[tex]x^2-2x+2=0[/tex]
Use Vieta's rule to get the roots,
[tex](x-1)(x-1)=0[/tex]
Both roots are the same so no value is less than 0 which means all values except at the point of root are strictly greater, the point of root is at [tex]x_{1,2}=1[/tex] which means the set for which the quadratic function is greater than 0 is [tex]\mathbb{R}-\{1\}[/tex] "all real numbers except 1".
To convert this into interval notation use all numbers up to 1 but not including and all numbers after 1 but not including,
[tex](-\infty,1)\cup(1,\infty)[/tex]
Hope this helps :)
HELPPPP! PLEASEEEEE!
A mountain climber ascends a mountain to its peak. The peak is 10,740 ft above sea level. The climber then descends 400 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber.
A. 10,740 ft above sea level.
B. 10.340 ft above sea level.
C. 11,140 ft above sea level.
D. 400 ft below sea level.
Answer:
10,340 ft
Step-by-step explanation:
the peak is 10,740 ft and since the climber is at the peak, that's their elevation.
he goes down 400 ft so its 10,470 - 400 which is 10,340
Answer:
B. 10,340
Step-by-step explanation:
The peak is 10,740, since they descend 400, it is subtraction. 10,740 - 400 is 10,340.