Answer:
2×2+72-15
=4+72-15
=76-15
=61
3×2+13×-10
=6-130
=-124
What is the prime factorization of 156?
What is the magnitude of -5+ 12i?
Here the picture, :D
The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].
To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:
Magnitude = |a+bi|
[tex]= \sqrt{ a^2 + b^2}[/tex]
The given complex number is -5 + 12i.
we have a = -5 and b = 12.
Plugging these values into the formula, we get:
Magnitude = | -5 + 12i |
[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]
[tex]= \sqrt{ 25 + 144}[/tex]
[tex]= \sqrt{ 169}[/tex]
= 13
Therefore, the magnitude of -5 + 12i is 13.
To learn more on Complex numbers click here:
https://brainly.com/question/20566728
#SPJ4
A motorboat travels 102 miles in 3 hours going upstream. It travels 186 miles going downstream in the same amount of
time. What is the rate of the boat in still water and what is the rate of the current?
Rate of the boat in still water:
Rate of the current:
Answer:
Rate in still water = 48 mph.
Rate of current = 14 mph.
Step-by-step explanation:
Let the rate in still water be x and rate of the current be y miles per hour.
Upstream:
x - y = 102/3
Downstream:
x + y = 186/3
Adding the 2 equations
2x = 102/3 + 186/3 = 34 + 62
2x = 96
x = 48 mph.
So 48 - y = 34
y = 48 - 34 = 14 mph.
Use multiplication to create an equivalent fraction for 2/5
Answer:
4/10
Step-by-step explanation:
2/5 times 2/2
Make sure To multiply with the SAME denominators and numerators.
I hope this helps!!
Answer:
6/15
Step-by-step explanation:
2/ 5 x 3/3 = 6/15
Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator
Plz don’t delete my questions,plz help me!! Or eles I won’t get to play games!URGENT!!
Don invested $ 5 000 in an account paying 5% simple interest per year for 7 years.
Answer:
FV= $6,750
Step-by-step explanation:
Giving the following information:
Initial investment (P)= $5,000
Interest rate (r)= 5% simple interest
Number of periods (t)= 7 years
To calculate the future value of the investment, we need to use the following formula:
FV= (P*r*t) + P
FV= (5,000*0.05*7) + 5,000
FV= 1,750 + 5,000
FV= $6,750
The survey was done to test the suggestion that the proportion of younger adults who use their horn is greater than the proportion of older adults who use their horn. Which of the following represents the hypotheses that we will be testing, assuming that p1 represents the population proportion of all young adults 20-39 who report using their horns and that p2 represents the population proportion of all older adults 60+ who report using their horns?
a. H0: p1=p2 versus Ha: p1>p2
b. H0: p1=p2 versus Ha: p1
c. H0: p1=p2 versus Ha: p2>p1
d. H0: p1=p2 versus Ha: p1=/=p2
Answer:
a. H0: p1=p2 versus Ha: p1>p2
Step-by-step explanation:
Given that
p1 represent the proportion of the population for young allots 20-39
And, p2 denotes the proportion of the population for all older adults that are above 60
So,
We need to find out the hypotheses
The null & alternative hypothesis is
H_o: P_1 = P_2
H_a: P_1>P_2
This shows the right tailed test
Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times the original cost of a shirt.
If she spent $36 in all, what was the original cost of a shirt?
Answer:
OMG
Step-by-step explanation:
I had the same question
Answer:
$10.79
Step-by-step explanation:
x = original cost of one t shirt
We can build this equation
x - (20/100) x + 3x- 5 = 36
-1/5x + 4x = 41
-x + 20x = 205
19x = 205
x = $10.79
find the measure of YWX
Answer:
it's 99 .................
Determine whether each expression is equivalent to 64^t^3-0.5t
Answer:
Step-by-step explanation:
How many solutions does this equation have? -2-5x= -(5x+2)
Answer:
Infinite solutions
Step-by-step explanation:
A linear equation is given to us and we need to tell the no. of solutions. The equation is ,
=> -2-5x = - ( 5x +2)
If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,
=> -(5x) -(+2)
=> -5x -2
=> -2 - 5x
This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .
They have infinitely many solutions .What percent of 965 is 193?
No links please
The percentage equivalent is 20.
Given,
Percentage .
Now,
Firstly calculate the fractional form,
193/965 = .2
Now to convert fraction into percentage , multiply by 100.
So,
0.2 * 100
= 20%
Thus 193 is 20% of 965 .
Know more about percentage,
https://brainly.com/question/23418123
#SPJ6
Which of the following are binomials? Check all that apply.
A. x^3+ 8 + y
B. -x + 24
C. x^11
D. x + (3/x)
E. x^8
F. x + 3
Answer:
B D F are the binomials
Step-by-step explanation:
hope it helps
The following data describes weekly gross revenue (), television advertising expenditures (), and newspaper advertising expenditures () for Showtime Movie Theaters.
Weekly Gross Revenue ($1000s) Televison Advertising ($1000s) Newspaper Advertising ($1000s)
98 5 1.5
90 2 2
95 4 1.5
92 2.5 2.5
95 3 3.3
94 3.5 2.3
94 2.5 4.2
94 3 2.5
Required:
Find an estimated regression equation relating weekdy gross revenue to television advertising expenditures and newspaper advertising expenditures (to 2 decimals).
Answer:
Hope this helps
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZ
A fish tank holds approximately how much water?
Answer:
Fish tanks come in all different sizes. I can't answer unless you tell me the dimensions (Length, width, height)
Step-by-step explanation:
Use the formula C C = 2pi * r and pi = 3 . 14 to find the circumference of a circle with a radius of 5 meters.
Answer:
Circumference of circle = 31.4 square meter
Step-by-step explanation:
Given:
Radius of a circle = 5 meter
Value of π = 3.14
Find:
Circumference of circle using formula "2πr"
Computation:
Circumference of circle = 2πr
By putting value of 'r' and 'π' in given formula
Circumference of circle = 2(3.14)(5)
Circumference of circle = (6.28)(5)
Circumference of circle = 31.4 square meter
80% of what number is 960? Answer pls
Answer: 1200
Step-by-step explanation:
80% × x = 960
or,
80
100
× x = 960
Multiplying both sides by 100 and dividing both sides by 80,
we have x = 960 ×
100
80
x = 1200
Answer:
Answer: 1200 eeeeeeeee
Evaluate the expression for x^2×x^1 for x=9
Answer:
729
Step-by-step explanation:
x^2*x^1 = (9)^2 * (9)^1
= (9)^3
= 729
Simplify 10cm:2m
Ratio
Answer:
1cm:20cm
Step-by-step explanation:
10cm:2m
1m=100cm
10cm:200cm
÷10
1cm:20cm
PLEASE HELP! WILL AWARD BRAINLIEST TO THE FIRST CORRECT ANSWER!
If a/b=6, b/x=36, and a=36, what is the value of 1/x?
A) 1/2
B) 2
C) 3/2
D) 4
E) 6
Answer:
E) 6
Step-by-step explanation:
a/b = 6
36/b = 6
6b = 36
b = 36/6 = 6
b/x = 36
6/x = 36
36x = 6
x = 6/36 = 1/6
hence 1/x = 6
Answer:
E) 6
Step-by-step explanation:
a/b=6, b/x=36, and a=36
=>a = 6b
36 = 6b => b =6
b/x = 36 => x = b/36 = 6/36
so, 1/x = 36/6 = 6
Create the formula for the geometric sequence:
1, 4, 16, 64...
Answer:
since you are helping me with my answer on my other account, cutiepatato about the discrimination
imma try my best to help answer yours <3
the picture is in the box
Step-by-step explanation:
Ria works in a paint shop.
She needs to make 1500ml of purple paint.
Ria makes purple paint by mixing red paint and blue paint and white paint in the ratio 3 : 2 : 1
How much blue paint does Ria need to make 1500 ml of purple paint?
Answer:
the answer is 500ml
Step-by-step explanation:
1500/3=500
what is 6 divided by 10 to the second power
Answer:
j
Step-by-step explanation:
h
The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.
Answer:
Length = 22.98 feet
Width = 9.66 feet
Step-by-step explanation:
Let the length of the rectangle be L.
Let the width of the rectangle be W.
Given the following data;
Area of rectangle = 222 feet²
Translating the word problem into an algebraic expression, we have;
L = 3W - 6 ...... equation 1
We know that the area of a rectangle is given by the formula;
A = L * W
Substituting
222 = L * W ....equation 2
Substituting eqn 1 into eqn 2, we have;
222 = (3W - 6) * W
222 = 3W² - 6W
Rearranging the equation, we have;
3W² - 6W - 222 = 0
Next, we would use the quadratic formula to solve for the roots.
Note: the standard form of a quadratic equation is ax² + bx + c = 0
a = 3, b = -6 and c = -222
Solving the quadratic equation using the quadratic formula;
The quadratic equation formula is;
[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]
Substituting into the equation, we have;
[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]
[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]
[tex] x = \frac {6 \pm 51.96}{6} [/tex]
[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]
[tex] x_{1} = \frac {57.96}{6} [/tex]
x1 = 9.66
We do not need the negative value of x, so we proceed.
Therefore, Width, W = x1 = 9.66 feet
For the length;
L = 3W - 6
L = 3(9.66) - 6
L = 28.98 - 6
L = 22.98 feet
Please help quickly as possible thank you! :)
Answer:
329.5ft
Step-by-step explanation:
First one: ((4+18+26)x10)/2
Second: +(18x4)
Third: (7x5)/2
=240+72+17.5
=329.5
The factory receives an order for more than 1,100 boxes. Machine B has already packed 55 boxes. Write and solve an inequality to find the amount of time it will take Machine B to pack the additional boxes that are needed for the order, assuming none of the boxes are defective.
Answer:
no lo sé pero te ayudaría si lo supieraplease help a brotha out and i'll give you brainliest
Answer:
First box: 15 * 10^10.
Second box: 300,000,000 meters per second.
Third box: 48 * 10^-13 meters.
Fourth box: 167 * 10^-29 meters.
Step-by-step explanation:
These should be correct! I put them in order from the top empty box to the bottom empty box!!!
Please mark brainliest if correct!!!
What is the y intercept calculator for 3y=2x +6
Answer:
The Y-axis intercept is 2
Step-by-step explanation:
Answer:
The y-intercept is 2
Step-by-step explanation:
Given: 3y=2x+6
Convert to y=mx+b form: y=2/3x+2
Therefore, the y-intercept is 2.
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
solve the equation
z³=18+26i
where z=x+yi, x and y are integers