Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.
29 i
29 i - 20
- 21 i
29
10x - 8y = 4
-5x + 3y = -9
(please explain step by step I don't understand)
Answer:
x = 6
y = 7
Step-by-step explanation:
10x - 8y = 4 ⇒ ( 1 )
-5x + 3y = -9 ⇒ ( 2 )
( 2 ) × 2
2 × ( -5x + 3y = -9 )
-10x + 6y = - 18 ⇒ ( 3 )
( 1 ) + ( 3 )
10x - 8y -10x + 6y = 4 - 18
-2y = - 14
Divide both sides by ( - 2 )
y = 7
Now let us replace y with 7 to find the value of x.
For that, let us use equation ( 1 ).
10x - 8y = 4
10x - 8 × 7 = 4
10x - 56 = 4
10x = 56 + 4
10x = 60
Divide both sides by 10.
x = 6
Answer:
[tex]\boxed{\sf{x=6 \quad y=7}}[/tex]Step-by-step explanation:
Isolate the term of x and y from one side of the equation.
10x-8y=4 and -5+3y=-910x-8y=4
x=2(2y+1)/5
Substitute.
[tex]\sf{-5*\dfrac{2(2y+1)}{5}+3y=-9}[/tex]
Solve.
-y-2=-9
Add by 2 from both sides.
-y-2+2=-9+2
Solve.
-y=-7
Divide by -1 from both sides.
-y/-1=-7/-1
Solve.
Divide the numbers from left to right.
-7/-1=7
y=7
Substitute of y=7.
x=2(2*7+1)/5
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract2(2*7+1)/5
Do parenthesis first.
2*7=14
14+1=15
2(15)/5
Multiply.
2*15=30
Divide.
30/5=6
x=6
Therefore, the correct answer is x=6 and y=7.I hope this helps you! Let me know if my answer is wrong or not.
FREE BRAINLIEST - EZ QUESTION: Write the equation of the parabola that has the vertex at point (−2,7) and passes through the point (−1,3).
Answer:
y = -4(x +2)² + 7
formula for parabola: y = a(x-h)² + k
Where (h, k) denotes the vertex
vertex: (-2, 7) point: (-1, 3)First find a:
3 = a(-1-(-2))² + 7a + 7 = 3a = -4Thus equation:
y = -4(x-(-2))² + 7y = -4(x +2)² + 7Answer:
y = -4x^2 - 16x - 9.
Step-by-step explanation:
The vertex form is:
y = a(x - b)^2 + c where a is a constant, and (b, c) is the vertex
So we have
y = a(x + 2)^2 + 7
When x = -1, y = 3 so:
3 = a(-1 + 2)^2 + 7
3 = a + 7
a = -4.
So the equation is
y = -4(x + 2)^2 + 7
y = -4x^2 - 16x -16 + 7
y = -4x^2 - 16x - 9.
1. 17 + × = 56
2. × - 11 = 23
and for 1 the answer is not 39
Answer:
2. x = 34 and 1. x = 39
Step-by-step explanation:
1. 39 is the right answer because x = 56 - 17 equals 39 which means you have to subtract.
please find the area
18 inch²
Step-by-step explanation:
The same formula of triangle
1/2(12×6)
18 inch²
what are the exact volumes of x and y? (attached image)
Answer:
X is the value of y so work it out mothe
Answer:
Since already answered i need points so yea
A tee shirt company charges $240 for 12 tee shirts. They charge the same amount of money for each shirt.
Which table represents the relationship between the number of tee shirts the company sells and the amount of money they charge?
Number of shirts Amount charged (dollars)
2 $24
4 $48
6 $72
8 $96
Number of shirts Amount charged (dollars)
5 $100
10 $200
15 $300
20 $400
Number of shirts Amount charged (dollars)
10 $240
11 $240
12 $240
13 $240
Number of shirts Amount charged (dollars)
12 $240
14 $264
16 $288
18 $312
Step-by-step explanation:
$240 for 12 t-shirts.
that means 240/12 = $20 per shirt.
therefore, only the second option (with $100, $200, $300, $400) is correct. when adding 5 shirts, the price goes up 5×$20 = $100.
all the other options use a different unit price.
Yo I need to bring up my grade bad so
2y=-3x+2
(please show it graphed already :D)
Answer:
Slope: [tex]-\frac{3}{2}[/tex]
y-intercept: (0,1)
[tex]\left[\begin{array}{cc}x&y&0&1\\2&-2\end{array}\right][/tex]
here's the graph since the other knucklehead didn't add it
Please help! No links no files :(
Answer:
Step-by-step explanation:
Area of a triangle:
base = 4 units
height = 3 units
[tex]\boxed{\text{Area of triangle = $\dfrac{1}{2}*base*height$}}[/tex]
[tex]\sf = \dfrac{1}{2}*4*3\\\\ = 2*3\\\\ = 6 \ square \ units[/tex]
Destiny worked her 40 regular hours last week plus 5 overtime hours at the time-and-a-half rate. Her gross pay was $926.25. What is her regular hourly rate?
Answer: $19.50
Step-by-step explanation:
For the data set 1, 7, 7, 7, 8, the mean is 6
Answer:
Yes
Step-by-step explanation:
1+7+7+7+8=30
30/5= 6
Answer the statistical measures and create a box and whiskers plot for the following set of data. 4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14 Min: Q1: Med: Q3: Max: Create the box plot by dragging the lines: 2 3 4 b 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Answer:
Step-by-step explanation:
First you take your smallest number, which in this case is 4 - then you find your maximum number which is 14. Then we can list these numbers on a piece of paper and cross a number out from each side until you reach the middle number which would be 8. Then you go from the min to the middle number which would be 5. Then you repeat between the max number and the middle number which is 11. So your minumum would be 4, max would be 14, Q1 would be 5 Median would be 8 and Q3 would be 11. Let me know if I got it right! I haven't done it for a while, but I am pretty sure this is correct..
The missing values are:
Minimum value = 4 ,
Q₁ = 5 ,
Median = 6,
Q₃ = 11
Maximum value = 14.
What are Quartiles?The set of values known as quartiles divides a batch of data into four equal portions.
We have,
Minimum value = 4
Now, arrange the data in ascending order
4,4,5,5, 6, 6, 8, 10, 11, 11, 12, 14
Then, Quartiles
Q₁ = [ (n+1)/4]th term
= (12+1) / 4
= 3.25th term
= 3rd term + 0.25 ( 4th term - 3th term)
= 5 + 0.25 (5 -5)
= 5
Now, Median = (N/2)th term
= 12 /2
= 6th term
= 6
and, Q₃ = [3(n+1)/4]th term
= 3 × 3.25
= 9.75
= 9th term + 0.75( 10th term - 9th term)
= 11 + 0.75 (10 -10)
= 11
and, Maximum value = 14
Learn more about Quartiles here:
brainly.com/question/27504751
#SPJ2
Need help with angle solving
Step-by-step explanation:
corresponding angles (CA)
Alternative interior angles (AIA)
co interior angles (CIA)
question 1 angles =5 + 3 = 180 ( CIA)
83⁰ + 3 = 180
angle 3 = 180 - 83⁰
angle 3 = 97
angle 8 = angle 3.... CA
angle 8 = angle 16 ....CA
ANGLE 16 = ANGLE 12.....CA
angle 5 = angle 13 ....CA
ANGLE 3 = Angle 6......AIA
ANGLE 5 = ANGLE 4.......AIA
ANGLE 4 = ANGLE 7......CA
ANGLE 6 = ANGLE 1......CA
ANGLE 13 = ANGLE 9......CA
ANGLE 12 = ANGLE 14.....AIA
ANGLE 13 = ANGLE 11.....AIA
ANGLE 14 = ANGLE 10.......CA
ANGLE 11 = ANGLE 15
NOW JUST PUT THE VALUES GIVEN IN QUESTION AND AT THE TOP OF MY ANSWER IN EACH CASE AND UR DONE.....
QUESTION 2 :
ANGLE 1 = ANGLE 7 .......AIA
2X + 40 = 6X - 20
40 + 20 = 6X - 2X
60 = 4X
60/4 = X
15⁰ = X
SO, ANGLE 7 = 6× 15 -20 = 90 - 20 = 70⁰
AND, ANGLE 1 = 2 × 15 + 40 = 30 + 40 = 70⁰
ANGLE 7 = ANGLE 3 ......CA
ANGLE 3 = ANGLE 5 .....AIA
ANGLE 3 + ANGLE 6 = 180 .....CIA
70 + ANGLE 6 = 180⁰
ANGLE 6 = 180 - 70⁰ = 110⁰
angle 2 = Angle 6
ANGLE 2 = ANGLE 8.....AEA ALTERNATIVE EXTERIOR ANGLE
ANGLE 8 = ANGLE 4
NOW, JUST PUT THE VALUES I HAVE WRITTEN ABOVE ACCORDINGLY IN EACH CASE....
Did I really jst got 15 points for this (ノ｀Д´)ノ彡
HEHEEE JK:)
Jenni plots her house and yard on a computer. she determines that the circle that defines the part of the front yard that gets watered by the sprinkler is (x−9)2 (y 11)2=16. what is the diameter, in meters, of the circular area that gets watered by the sprinkler? 4 m 8 m 16 m 32 m
The length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
What is the equation of the circle of radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at (h, k) point of the coordinate plane, then, its equation is given as:
[tex](x-h)^2 + (y-k)^2 = r^2[/tex]
For this case, the equation of the circle that models tha circular area considered is:
[tex](x-9)^2 + (y+11)^2=16[/tex]
Writing this in standard form and comparing it with the standard equation, we get:
[tex](x-9)^2 + (y+11)^2=16\\(x-9)^2 + (y - (-11) )^2 = 4^2[/tex] (didn't took (-4)² = 16 since radius cannot be negative).
Thus, we get center's coordinate as (9,-11) and radius of 4
The diameter of that circular area = twice of radius of the circle which models it = 2 × 4 = 8 meters.
Thus, the length of the diameter, in meters, of the circular area that gets watered by the sprinkler for this condition is given by: Option B: 8 m
Learn more about equation of a circle here:
https://brainly.com/question/10165274
ANSWER PLEASE LINKS , SPAM , OR WRONG ANSWER WILL BE REPORTED AND DELETED 100 POINTS TO ANSWER AND YOU WILL GET BRAINLIEST PLEASE DONT WASTE YOUR TIME AND SEND LINKS , SPAM. OR WRONG ANSWER !!!!! HAVE A BLESSED NIGHT/DAY
Answer:
46.24 mm²
Step-by-step explanation:
Given:
s = 6.8 mm
To find the area of the square, simply square the measure of the side length.
⇒ Area of polygon = s²
Substitute the measure of the side length:
⇒ Area of polygon = (6.8)² [s = 6.8 mm]
Simplify the area:
⇒ Area of polygon = (6.8)(6.8)
⇒ Area of polygon = 46.24 mm²
Answer:
46.24mm.²
Step-by-step explanation:
Multiplying base by height:
6.8 times 6.8 = 46.24mm.²
Or doing 6.8² (same thing)
Since this is a square you can do 6.8 squared.
You are a chef and you are tasked to prepare a lunch menu proposal for an upcoming
symposium of different youth organizations to be catered by the restaurant your
restaurant. You need to do the following:
1. Come up with 5 sets of lunch menus with a unique title for each. Consider the
different food preferences (according to the age group, culture, and others). (You
may include descriptions and appetizing pictures.)
2. Out of these menus, how many ways can the event organizer choose 3 out of the
five lunch menus you prepared for their initial selection? (Show your solution)
a. With repetition
b. Without repetition
3. Give at least 3 of these ways.
a. With repetition
b. Without repetition
Your output will be rated according to the following criteria:
Presentation of the Lunch Menus (which may include pictures). Accuracy of the use of
Mathematical Concepts (Combination and/or Probability of Simple Events), and
Feasibility of the Proposed Lunch Menus.
The lunch menu is an illustration of permutation and combination
There are 125 ways to select three lunch menus with repititionThere are 10 ways to select three lunch menus without repititionThe lunch menu
To answer this question, the following set of lunch menu would be used:
Fish and chips.Ham sandwich.Superfood salad.Cheese sandwich.Jacket potato with filling.How to select 3 lunch menu with repitition?Since the event organizers can repeat lunch menu, then each of the 5 lunch menus can be selected each of the 3 times.
So, the number of selection is:
n = 5³
Evaluate
n = 125
Possible selections are:
Fish and chips, Jacket potato with filling and Jacket potato with filling.Ham sandwich, Ham sandwich and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichHow to select 3 lunch menu with repitition?Since the event organizers cannot repeat lunch menu, then each of the 5 lunch menus can be selected once of the 3 times.
So, the number of selection is:
n = ⁵C₃
Evaluate
n = 10
Possible selections are:
Fish and chips, Jacket potato with filling and Ham sandwichHam sandwich, Superfood salad and Cheese sandwichFish and chips, Ham sandwich and Superfood salad.Read more about combination at:
https://brainly.com/question/11732255
HOW DO U DO THIS I LITERALLY TRIED EVERYTHING pls explain
Answer:
you just convert them into simple fractions the first one become -1159/9 and second one -790/3.
the difference in thier height is 1211/9.
Write your answer as a fraction or as a whole or mixed number.
27pts
What we know:
Bird feeder capacity: --> 2 4/5 cupsSamantha's scoop capacity: --> 7/10 cupsLets first convert the mixed partial fraction --> improper fraction
--> for easier calculation
After Conversion:
Bird feeder capacity: --> 14/5 cupsSamantha's scoop capacity: --> 7/10 cupsTo find how many scoops of birdseed will Samantha put into the feeder we must:
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
Solve:
[tex]Total-number- of -scoops = \frac{\frac{14}{5} }{\frac{7}{10} } =\frac{14}{5} *\frac{10}{7} =\frac{14*10}{5*7} =\frac{14}{7} *\frac{10}{5} =2*2=4[/tex]
Thus the total number of scoops that Samantha will put into the bird feeder is 4
Answer: 4
Hope that helps!
What is 100 x 96 x 44?
Answer:
Step-by-step explanation:
100×96×44=100×(100-4)×44
=100×[100×44-4×44]
=100×[4400-176]
=100×4224
=422400
Answer:
422400
Step-by-step explanation:
100
x96
-------
9600
x44
----------
38400
+384000
----------------
422400
help pls......, 50 points
The correct answer would be- D: 1.601 x 10^9
Answer:
the answer is D: 1.601 x 10^9
Step-by-step explanation:
Determine if a quadrilateral with the given vertices is an isosceles trapezoid. Show and explain all steps to prove or disprove.
A(-5,0) B(5,0) C(-3, 4) D(3, 4)
Answer:
Step-by-step explanation:
Expand and simplify 2(x+7)+3(x+1)
To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify
[tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]
Hope that helps!
A cylindrical tank holds about 615.44
cubic inches of helium. The radius of the tank
is 3 1/2 (3 and one half)inches. What is the height of the tank?
Use 3.14 for Pi. (Please give explanation/show work)
Answer:
The height is 15.992 in
Step-by-step explanation:
1. The equation for a cylinder is [tex]V=\pi r^2h[/tex]. In this case, the equation looks like [tex]615.44=\pi (3.5)^2h[/tex]
2. Isolate h by dividing both sides of the equation by [tex]\pi (3.5)^2[/tex]
3. This leaves us with [tex]\frac{615.44}{\pi (3.5)^2}=h[/tex]
4. Solve for the left side, which leaves us with h = 15.992 (rounded to the nearest thousandth)
The midpoint of CD is M=(5,0). One endpoint is C=(2,5). Find the coordinates of the other endpoint, D
A triangular swimming area is marked off by a rope.
a. If a woman swims around the perimeter of the swimming area, how far will she swim?
b. What is the area of the roped off section?
#a
Perimeter=Sum of sides
400+200√6+200+200√3600+200(√6+√3)600+200(2.6+1.7)600+200(4.3)600+8601460m#b
Area:-
1/2×Base×Height1/2(200+200√3)(200√3)(200+200(1.7))100√3(200+340)(170)540(170)91800m²Answer:
Perimeter = 1436.3 m (nearest tenth)
Area = 94641.0 m² (nearest tenth)
Step-by-step explanation:
The perimeter is the sum of the lengths of all the sides.
[tex]\begin{aligned}\sf \implies perimeter & =400+200\sqrt{6}+200\sqrt{3}+200\\ & =1436.30811\\ & = 1436.3 \: \sf m\:(nearest\:tenth)\end{aligned}[/tex]
[tex]\begin{aligned}\textsf{Area of a triangle} & =\sf \dfrac12 \times base \ height\\ & = \sf \dfrac12 \times (200+200\sqrt{3}) \times 200\sqrt{3}\\ & =94641.01615\\ & = 94641.0\: \sf m^2\:(nearest\:tenth)\end{aligned}[/tex]
What is the slope of the line that contains these points?
2
13
14
15
16
y
11
6 1 -4
slope:
Answer:
-5
Step-by-step explanation:
formula of slope is
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
y2 is the second y value
y1 is the first y value so you get
[tex] \frac{6 - 11}{14 - 13} [/tex]
that leaves you with -5 /1 which can be written as -5
-5
Step-by-step explanation:The slope is rise over run. In other words, it is the change in y divided by the change in x.
Slope Formula
The formula for slope is [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]. This will give the the difference in y-values divided by the difference in x-values. To find the slope, plug in the values.
Final Slope
The y-value decreases by 5 as the x-value increases by 1. This means that the slope must be -5/1. This can be rewritten as -5.
Ms. Brown will randomly choose a student in Justin's class to erase the board. There are 26 students in the class. What is the probability that Ms. Brown will choose Justin to erase the board two days in a row?
Answer:
2 out of 24
Step-by-step explanation:
Two days, meaning each day there will be a chance that Justin is chosen to take away that chance for one of his fellow classmates.
Over 5 days, Penelope practices the kazoo for 4 hours. She also plays video games every day. If she spent a total of 13 hours doing both, how many hours a day does she play video games?
A. 1.6 hours
B. 1.8 hours
C. 2 hours
D. 1.4 hours
Answer:
B : 1.8 hours a day.
Step-by-step explanation:
For 5 days she practices for 4 hours.
Subtract the 4 hours by the combined 13 hours.
Divide the remainding 9 hours of video game time by the 5 days.
what is the
answer 5/6=1/3+d
Answer:
d is equal to 3/6 or 1/2
Step-by-step explanation:
to solve this you need to convert 1/3 to have the demoninator of 6 by multiplying the top and bottom by a factor of 2 to get 2/6. then move 2/6 to the other side of thr equation by subtracting so 5/6 - 2/6 which is 3/6 or 1/2
Will give Brainiest!
Find the ordered pair (s,t) that satisfies the system
s/2+5t=3
3t+6s=9