Answer:
60 = 15+m
Step-by-step explanation:
sum is the outcome or total of an addition problem
What is the distance between [(3 + 4i) + (2 - 3i)] and (9 - 2i)?
Answer:
5
Step-by-step explanation:
(3 + 4i) + (2 - 3i) = 3 + 4i + 2 - 3i = 5 + i
distance between (5 + i) and (9 - 2i) is the difference between them. and difference means subtraction.
(9 - 2i) - (5 + i) = 9 - 2i - 5 - i = 4 - 3i
and since we are looking for a distance, we are looking for the absolute value of that subtraction.
after all, we could have done the subtraction also in the other direction
(5 + i) - (9 - 2i) = -4 + 3i
and this must be the same distance.
|(-4 + 3i)| = |(4 - 3i)|
and that is done by calculating the distance of any of these 2 points from (0,0) on the coordinate grid of complex numbers.
|(a +bi)| = sqrt(a² + b²)
in our case here
distance = sqrt(4² + (-3)²) = sqrt(16 + 9) = sqrt(25) = 5
as you can easily see, this is (as expected) the same for the result of the subtraction in the other direction :
sqrt((-4)² + 3²) = sqrt(16+9) = sqrt(25) = 5
∑_(n=1)^∞▒〖( 1/2 )〗^2n
Answer:
The series converges to [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
It seems to be this series:
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]
We have
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]
Using the Root test we can see that this series converges once
[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]
Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]
The series is convergent.
Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.
The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]
[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]
Choose the correct Set-builder form for the following set written in Roster form: { − 2 , − 1 , 0 , 1 , 2 }
Step-by-step explanation:
{x:x is an integer where x>-3 and x<3}
(x-2)(-5x^2+x)=(x)(-5x^2)+(x)(x)+(-2)(-5x^2)+(-2)(x) is an exsample of
this is an example of linear equations is one variable
−12 as a ratio of two integers.
Answer:
-12 can be written as the ratio of -24 and 2, for example.
Step-by-step explanation:
Ratio of a to b:
The ratio of a to b is given by the division of a by b, that is:
[tex]r = \frac{a}{b}[/tex]
−12 as a ratio of two integers.
Here, we want any division in which the result is -12. One example is:
[tex]-12 = \frac{-24}{2}[/tex]
-12 can be written as the ratio of -24 and 2, for example.
Rachel is driving to visit her mother, who lives 250 miles away. How long will the
drive be, round-trip, if Rachel drives at an
average speed of 40 mph?
Answer:
Time for a round trip = 12.5 hours
Step-by-step explanation:
Mother's house = 250 miles
Total distance for the round trip = 250 + 250 = 500 miles
Given speed = 40 mph
Find time .
[tex]Speed = \frac{distance }{Time }\\\\Time = \frac{distance }{speed } = \frac{500}{40} \\\\Time = 12.5 \ hours[/tex]
Which angels are corresponding angles? Check all that apply
Answer:
Only A and B.
Step-by-step explanation:
Corresponding angles are angles in the same position and are the same size. The others are wrong as they are not the same sizes or are not the same
HELP QUICK! WILL GIVE BRAINLIEST ANSWER!!
Answer:
x = 22 degree
Step-by-step explanation:
40 + 5x + 30 = 180 degree (being linear pair)
5x + 70 = 180
5x = 180 - 70
x = 110/5
x = 22 degree
PLEASE HELP ASAP!!
Q: Use the graph of f below. Assume the entire function is graphed below. Find where f(x)<0.
(graph and answers pictured.)
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
We have to find the interval in which the function is less than zero or negative.
Value of the function are along the y-axis and negative value of the function means negative side of the y-axis.
In the graph, function is below the x-axis in the interval x > 4 and x = 6 only.
Therefore, in the interval (4, 6] function f(x) < 0.
Option (4) is the correct option.
Expresa los siguientes números sin potencia de base 10
Answer:
no se guey..... pero gudluc
GIVING OUT BRAINLIEST PLUS 10 PTS
Answer:
Letter B
Step-by-step explanation:
I used a graphing calculator,
Hope this helps
The function h(x) is a transformation of the square root parent function,
f(x) = V2. What function is h(x)?
Answer:
[tex]h(x) = \sqrt{x+5}[/tex], option C.
Step-by-step explanation:
The parent function is [tex]f(x) = \sqrt{x}[/tex]
Function h:
Function h is function f shifted left 5 units.
Shifting a function f a units to the left is the same as finding [tex]f(x+a)[/tex]
Thus:
[tex]h(x) = f(x+5) = \sqrt{x+5}[/tex]
The function is [tex]h(x) = \sqrt{x+5}[/tex], and thus, the correct answer is given by option C.
Answer:
c
Step-by-step explanation:
Starting at a train station, Train A goes toward its destination to the right by 600
miles, and Train B goes to the left by 500 miles. Which of the following signed
numbers best represents Train A's direction and distance toward its destination?
A.-600
B.-500
C.500
D.600
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Answer:
D. 600
Step-by-step explanation:
On a number line, positive numbers increase to the right. 600 to the right would be considered to be +600, choice D.
One kilogram equals 2.2 pounds. If a paitent weighs 79.5kg, his weight is what in pounds?
Answer:
174.9
Step-by-step explanation:
since 1 kg is 2.2 lbs
79.5 times 2.2
they weight 174.9 lbs
Answer:
174.9 pounds
Step-by-step explanation:
Create a proportion where x is his weight in pounds:
[tex]\frac{1}{2.2}[/tex] = [tex]\frac{79.5}{x}[/tex]
Cross multiply:
x = 79.5(2.2)
x = 174.9
So, his weight in pounds is 174.9 pounds
pls help! show your work!
(3sqrt4)/(3sqrt5)
Answer:
3sqaure root 100/5
Step-by-step explanation:
It would look like this picture Below
Evaluate the function.
f(x)=2x^2+8x
Find f(−1)
PLease help!
a:-10
b:-6
c:6
d:10
Answer:b
Step-by-step explanation:
f(x) = 4x² + 3x - 2 g(x) = 6x³ - 3x²-4 Find (f +g) (x)
Answer:
6x^3+x^2+3x-6
Step-by-step explanation:
f(x) = 4x² + 3x - 2
g(x) = 6x³ - 3x²-4
(f +g) (x) =4x² + 3x - 2+6x³ - 3x²-4
Combine like terms
=6x^3+4x^2-3x^2+3x-2-4
=6x^3+x^2+3x-6
need help asap plz!!!!!
Answer:
Step-by-step explanation:
In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...
y = 4x + 3
The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.
What is the other number to this math equation?
Answer:
You need to ask yourself what times 20 gives you 600. Then ask yourself what times 20 gives you 160. Then that will give you your answer.
Step-by-step explanation:
Find the slope of the line through the points (−18,−12) and (0,8).
Answer:
9/10
Step-by-step explanation:
y2-y1÷x2-x1
-18-0/-12-8
-18/-20
9/10
Answer:10/9
Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9
Consider the following sample data: x 12 18 20 22 25 y 15 20 25 22 27 Click here for the Excel Data File a. Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Answer:
The covariance between the variables is 21.10 and the Correlation coefficient is 0.9285.
Step-by-step explanation:
Hence,
Sadie brought $28.00 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1/3 as much as the sketchbook, and the sketchbook cost 1/2 the cost of the paint set. Sadie had $3.00 leftover after buying these items. What was the cost of each item?
Answer:
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Step-by-step explanation:
Let the cost of paint set is s.
cost of sketch book = s/2
cost of brush = s/3
Money spent = $ 28 - $ 3 = $ 25
So,
s + s/2 + s/3 = 25
6 s + 3 s + 2 s = 150
11 s = 150
s = $ 13.64
cost of paint set = $ 13.64
cost of sketch book = $ 6.82
cost of brush = $ 4.55
Solve the equation 2x2 + x - 41 =
- 15 to the nearest tenth.
I neeeddd
HEEEELPPPP
Answer: 22
Step-by-step explanation: 2x2 + x -41= -15
* 4 + x -41= -15
* x -37= -15
* x= 22
Kenneth did of 1/3 of his laundry on Sunday and 7/15 of his laundry on monday. what fraction of laundry did kenneth do in total?
what is the median of 66 69 68 69 70 70.
Linda is doing car wash with her teammates to collect money for their trip. They can
get $12 for the car that they wash. In order to start their work, they spent $155 to buy
supplies needed for the work.
Part A:
Create a function f(c) to represent the profit that they make for washing c cars.
f(c) =
(b)
Part B:
Use the function rule that you created on Part A to find the value of f '(145)
f-? (145)
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Answer:
(a) f(c) = 12c -155
(b) f⁻¹(145) = 25
Step-by-step explanation:
(a) Profit is the difference between revenue (12c) and cost (155). The profit function is ...
f(c) = 12c -155
__
(b) The number of cars Linda's team must wash to achieve a profit of $145 is found from ...
145 = 12c -155
300 = 12c . . . . . . add 155
25 = c . . . . . . . . . divide by 12
f⁻¹(145) = 25 . . . . the team must wash 25 cars for a profit of $145
G.1.- Una Recta contiene los puntos (-3,7)
y (9,-5) Calcule la ecuación de la recta en la
FORma y=mxtb. Explicar los pasos
Given:
A line passes through the points (-3,7) and (9,-5).
To find:
The equation of the line in the form of [tex]y=mx+b[/tex].
Solution:
If a line passes through two points, then the equation of the line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
A line passes through the points (-3,7) and (9,-5). So, the equation of the given line is:
[tex]y-7=\dfrac{-5-7}{9-(-3)}(x-(-3))[/tex]
[tex]y-7=\dfrac{-5-7}{9+3}(x+3)[/tex]
[tex]y-7=\dfrac{-12}{12}(x+3)[/tex]
[tex]y-7=-1(x+3)[/tex]
On further simplification, we get
[tex]y-7=-x-3[/tex]
[tex]y-7+7=-x-3+7[/tex]
[tex]y=-x+4[/tex]
Therefore, the equation of the required line is [tex]y=-x+4[/tex].
Find the value of
[tex]3 \frac{1}{5} \div \frac{8}{20} [/tex]
Answer:
[tex]{ \bf{3 \frac{1}{5} \div \frac{8}{20} }} \\ = \frac{16}{5} \div \frac{8}{20} \\ { \boxed{ \tt{reciprocal \: of \: \frac{8}{20} = \frac{20}{8} }}} \\ \therefore \: = \frac{16}{5} \times \frac{20}{8} \\ = \frac{320}{40} \\ { \bf{ answer : 8}} \\ \\ {\underline{\tt {\blue{becker \: jnr}}}}
[/tex]
if 4,1,2 in middle is 21
if 2,1,4 in middle is 16
then 1,4,2 what is number in middle?
Answer:
5
Step-by-step explanation:
21-16=5
hope it helps!!
is this an Olympiad qn?
How much would the combined production of pineapples increase for the two islands due to trade? How much would the combined production of pearls increase?
Step-by-step explanation:
find the coordinate of the foot of the perpendicular from(4,-2) to the line 2x-3y-4=0
