(-2+4i) - (8+2i) if i is imaginary
Answer:
-10 + 2i
Yes, it is imaginary
Step-by-step explanation:
[tex](-2+4i) - (8+2i) \\ \\ = - 2 + 4i - 8 - 2i \\ \\ = - 2 - 8 + 4i - 2i \\ \\ = - 10 + 2i[/tex]
How many 1 1/2 -liter bottles of water does it take to fill a 16-liter jug?
Mr. P mowed 2/7 of his lawn. His son mowed 1/4 of it who mowed the most how much of the lawn still need to be mowed. Solve using the RDW strategy
plzzz help meh I WILL MARK 50 points!!!!!!
Answer:
Step-by-step explanation:
1/3
Pls helpp!!!!!!!!!!!!!
Answer: Yes
The point (-8,4) makes the inequality [tex]11x + 2y \le 19[/tex] true
==================================================
Explanation:
We have x = -8 and y = 4 pair up together due to the point (x,y) = (-8,4).
Let's plug these values into the inequality
[tex]11x + 2y \le 19\\\\11(-8) + 2(4) \le 19\\\\-88+8 \le 19\\\\-80 \le 19\\\\[/tex]
The last inequality is true because -80 is to the left of 19 on the number line. So -80 is smaller than 19.
Since the last inequality is true, this means the first inequality is true when (x,y) = (-8,4).
Write an equation (a) in standard form and (b) in slope-intercept form for the line described.
through (10,4), parallel to y = -9
y=4
Step-by-step explanation:
if 2 lines are parallel their slopes are identical
so the slope of the line parallel to the given line is 0
y-4=0(x-10) y=4
will give brainliest to first correct answer. find missing length
Answer: a
Step-by-step explanation:
Because i said so
If written backward, the number "fourteen thousand five hundred and ninety-three" would be written as "thirty-nine thousand five hundred forty-one". Correct?
Answer:
Yes, correct
Step-by-step explanation:
Answer:
14,593 -> 39,541: Correct!
Step-by-step explanation:
I NEED SOME HELP NOW, PLS THIS IS MY LAST PROBLEM OF THE DAY!! I WILL GIVE YOU BRAINLEST IF YOU ANSWER IT!!!
A person invests $100,000 dollars at 8% for 10 years. How much money does the person have in their account if it is compounded....
a) annually
b) semi annually
c) quarterly
d) monthly
e) daily
f) continuously
i only need a, c, e, f
9514 1404 393
Answer:
a) $215,892.50
c) $220,803.97
e) $222,534.58
f) $222.554.09
Step-by-step explanation:
The compound interest formula is ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r for t years, compounded n times per year. In this problem, you have P=100,000, r=0.08, t=10, and the only variable of interest is n.
When calculations are repeated, it is often convenient to let a calculator or spreadsheet do them. You only need to program the formula once, then use it for the different values of the variable of interest. Most spreadsheets have this formula built in, so you don't even need to program it.
__
For continuous compounding, the formula is ...
FV = Pe^(rt)
FV = 100,000e^(0.08·10) = 222,554.09
Help pls
x/9= -5
What is x
Answer:
-45
Step-by-step explanation:
Answer:
x= -45
Step-by-step explanation:
Let's solve your equation step-by-step.
x/9 = -5
Danny is building a pyramid modeled after one of the great pyramids of Giza in Egypt .The great pyramid has a height of 480 feet and a square base with each side measuring 755 feet if Danny builds the pyramid to one hundredths (1/100) the size what will the volume be for his pyramid
Answer:
91.204 cubic feet
Step-by-step explanation:
We are given that
Height of great pyramid, h=480feet
Side of square base, a=755 feet
Height of Danny's pyramid, h'=480/100 feet
Side of square base of Danny's pyramid, a'=755/100 feet
We have to find the volume of Danny's pyramid if the volume of Danny's pyramid is 1/100 the size of great pyramid.
We know that
Volume of square base pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Where a= Side of base
h=Height of pyramid
Using the formula
Volume of Danny's pyramid=[tex]\frac{1}{3}\times(755/100)^2(480/100)ft^3[/tex]
Volume of Danny's pyramid=91.204 cubic feet
Pls answer these ratio questions with full working out I really need to now the method!
Step-by-step explanation:
a) 2+3=5
2/5 * 80= 32
3/5 * 80= 48
b) 5+7= 12
5/12 * 156= 65
7/12 * 156= 91
c) 4+5=9
4/9*384=170.67
5/9*384=213.34
d) 1+2+3=6
1/6*1.62=0.27
2/6*1.62=0.54
3/6*1.62=0.81
e) 1+1+4=6
1/6*96=16
1/6*96=16
4/6*96=64
Alexander builds a triangular frame with side lengths of 3 ft and 5 ft and a 120∘ angle between them. Which can be the length of the unknown side of the frame?
Answer:
i got 7ft for the answer
Step-by-step explanation:
The length of the unknown side of the triangular frame is 7 ft.
What is a triangle?"A simple closed curve or a polygon formed by three line-segments (sides) is called a triangle."
From the drawn triangle
According to the law of cosines
[tex]x^{2} =3^{2} +5^{2} +2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]cos 120^{0}[/tex]
⇒ [tex]x^{2} =9+25+2[/tex] × [tex]3[/tex] × [tex]5[/tex] × [tex]\frac{1}{2}[/tex]
⇒ [tex]x^{2} = 9+25+15[/tex]
⇒ [tex]x^{2} = 49[/tex]
⇒ [tex]x = \sqrt{49}[/tex]
⇒ [tex]x = 7[/tex]
Hence, the length of the unknown side of the triangular frame is 7 ft.
Learn more about triangle here
brainly.com/question/9528438
#SPJ2
△KJL~△WJX. Identify the coordinates of X and the scale factor.
PLZ help
Answer:
X(−64/3, 0); 8/3
Step-by-step explanation:
To find the coordinates of the point X, first find the scale factor for a dilation of two similar triangles in the coordinate plane
To determine the scale factor, set up a ratio of the lengths of two corresponding sides of the triangles.
Use the Distance Formula d=(x2−x1)2+(y2−y1)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√ to find the length of the sides JK and JW.
Point J is the origin. Thus, the coordinates of the point J are (0,0).
It is given in the figure that the coordinates of the point K are (0,6).
To find JK, substitute x1=0, x2=0, y1=0, and y2=6 into the distance formula.
JK=(0−0)2+(6−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=62‾‾√=6
The length of JK is 6.
It is given in the figure that the coordinates of the point W are (0,16).
To find JW, substitute x1=0, x2=0, y1=0, and y2=16 into the distance formula.
JW=(0−0)2+(16−0)2‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾√=162‾‾‾‾√=16
The length of JW is 16.
To determine the scale factor, set up a ratio of the lengths of two corresponding sides, JW and JK, of the triangles.
JWJK=166=83
The scale factor is 83.
To find the coordinates of the point X multiply the coordinates of the point L by the scale factor.
It is given in the figure that the coordinates of the point L are (−8,0).
X(−8⋅83,0⋅83)=X(−643,0)
The coordinates of the point X are (−643,0).
The figure shows the same triangles K J L and W J X as in the beginning of the task. Point X is at minus 64 thirds, zero.
Therefore, the coordinates of X is (−643,0) and the scale factor is 83.
PLEASE HELP!!!!
We need to know total number of miles and
we need to know the distance (in miles) between san diego to albuquerque, albuquerque to omaha, omaha to chicago (it’s labeled springfield on the map below but it’s chicago), then chicago (which is again labeled as springfield on the map below) to nashville
The scale is 1 cm to 204
THE INFORMATION, MAP, INSTRUCTIONS, SCALE, AND QUESTIONS ARE BELOW!
Answer:
total mile=(3.75+4.25+2.25+2)×204mile=12.25×204=2499mile
9514 1404 393
Answer:
765 mi867 mi459 mi408 mitotal: 2499 miStep-by-step explanation:
The estimated mileage is found by multiplying the map scale by the map distance:
#1: (204 mi/cm)(3.75 cm) = 765 mi
The last of your attachments correctly shows the mileage for each of the distances you have identified on the map.
(Please note that the map is actually showing Springfield, IL. The location of Chicago is at the south end of Lake Michigan, not in the middle of IL. Perhaps the grid incorrectly lists Chicago instead of Springfield.)
__
Of course, the total distance is the sum of the distances of the legs of the trip:
765 +867 +459 +408 = 2499 . . . . miles total distance
A. 36*6*6*6
B. 6*5
C. 25*5*5*5
D. 125*125
Answer:
D. 125*125 (15625)
Step-by-step explanation:
5⁶ = 5*5*5*5*5*5 = 125*125 or 15625
What is another name for the height of a prism or a pyramid?
A. Altitude
B. Length
C. Base
D. Lateral face
Answer:
A . altitude
Step-by-step explanation:
12. Find the values of x, y, and z.
(1 point)
Answer:
b. x = 80, y = 100, z = 63
Step-by-step explanation:
10= 3(3) + b what is the slope and y-intercept
Answer:
slope: 3
y-intercept: 1
slope-intercept form equation: y = 3x + 1
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
the equation you're given, 10 = 3(3) + b, is already in slope-intercept form and also already has the slope identified (it's 3!) so thankfully that's one less thing to solve for! :)
all you have to do now is solve for b.
first, multiply 3(3).
10 = 3(3) + b
10 = 9 + b
then subtract 9 from both sides of the equation. 9 and -9 cancel each other out, so the only thing you have to do for this step is subtract 9 from 10.
10 - 9 = b
1 = b aka b = 1
and now you have your b value!
so your slope is 3 and your y-intercept is 1.
i hope this helps! have a nice rest of your day <3
Simplify 7.7w - 4.6w please answer hurry!
Answer:
3.1w
Step-by-step explanation:
5. The measure of an angle is 82.3°. What is the measure of its
supplementary angle?
Answer:
97.7°
Step-by-step explanation:
Supplementary angles are angles that add up to 180° together so 180-82.3=97.7
The Scenario: Your cousin Caleb has a dog-walking business, and you'd like to start one in your own neighborhood. Caleb has had his business for more than a year and has experimented with different prices for his services. He is willing to share what he has learned with you as you begin to plan your business. The Project: Use the information provided in the Performance Task to learn more about your competition and the costs of your business. See what you can discover by looking at Caleb's sales records to help you decide how to set up and price your own dog-walking services. Use the questions below to help you gather information and get your new business off to a profitable start.
Answer:
Where the information
Step-by-step explanation:
Please help STUCK !! Which of the following points lie on the graph of the function,
Answer: a. ( 1, 6 )
Step-by-step explanation:
If you go into desmos and plot your function you can go to each of the points in your answers and see just where the point is touching the line
josh markets buys bicycles for $38 and sells them for $95. What is the percent of increase in the price?
Answer:
150%
Step-by-step explanation:
(95 - 38)/38 x 100
57/38 x 100
1.5 x 100 =
150 percentage change
Hope this helps :)
Solve the problem
30 - 2w +2n
3
w%3D-h
Mathematical
practice
-
Now that you have created the system of equations, it is time to solve the
problem
3. What are the dimensions (width and height) of the frame? Round your answer
to the nearest tenth of an inch.
Type answer here
Answer:
idr
Step-by-step explanation:
Simplify :
-0.5(0.8 + 8y)
Answer:
-0.4-4y
Step-by-step explanation:
-0.5(0.8+8y)
Distribute -0.5 into the parentheses
= -0.5×0.8+(-0.5)×8y
= -0.4+(-4y)
A negative and a positive make a negative
= -0.4-4y
I hope this helps!
Find all solutions to the following pair of equations:
Write an algebraic expression for the phrase.
3 times the sum of k and d
3kd
3k + 0
3+k+d
3(k+d)
Answer:
3(k+d)
Step-by-step explanation:
What is the value of a? A.3 B.4 C.5 D.6
Please help ASAP Thank youu!! <333 Also is the value for b 6? if not can yall tell me what is is please :)
Answer:
a = 5
b = 6
Step-by-step explanation:
These two options seem the most likely! :)
A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the sales tax for the refrigerator in dollars and cents?
Answer:
$31.53
Step-by-step explanation:
I used a calculator