Answer:
A, B, E
Step-by-step explanation:
Evaluate the expression Ab/c for
A. = 2.1 B.= 4 and c= 0.5
Answer:
-16.8
Step-by-step explanation:
credit javenKAI
match each complex number with its equivalent expression i^157 i^315 i^102 i^76
Answers:
[tex]i^{157} = i\\\\i^{315} = -i\\\\i^{102} = -1\\\\i^{76} = 1\\\\[/tex]
=====================================================
Explanation:
By definition, [tex]i = \sqrt{-1}[/tex]
Squaring both sides gets us [tex]i^2 = -1[/tex]
Then multiply both sides by i to get [tex]i^3 = -i[/tex]
Repeat the last step and you should get [tex]i^4 = -i^2 = -(-1) = 1[/tex]
---------------
Notice we have this pattern going on:
[tex]i^0 = 1\\\\i^1 = i\\\\i^2 = -1\\\\i^3 = -i\\\\i^4 = 1\\\\[/tex]
Once we reach i^4, we start the process over again.
It repeats every 4 terms.
This means we'll divide the exponent over 4 and look at the remainder. We ignore the quotient completely.
157/4 = 39 remainder 1
That remainder 1 is the exponent of the simplified term
[tex]i^{157} = i^1 = i[/tex]
---------------
Similarly,
315/4 = 78 remainder 3
So [tex]i^{315} = i^3 = -i[/tex]
---------------
102/4 = 25 remainder 2
[tex]i^{102} = i^2 = -1[/tex]
----------------
76/4 = 19 remainder 0
[tex]i^{76} = i^0 = 1[/tex]
The graph of the equation 2x+y=7 is parallel to the graph of:
1: y=-2x+5
2: x+2y=4
3: y-2x=2
Answer:
1: y=-2x+5
Step-by-step explanation:
When two lines are parallel, the slopes are equivalent.
First, you have to turn 2x+y=7 into standard form.
2x+y=7
y=-2x+7
The slope is -2 so then you find an answer choice with -2 as the slope.
Turn all the answers into standard form first:
2: x+2y=4
2y=-x+4
y=-1/2x+4 Not choice 2 since the slope is -1/2.
3: y-2x=2
y=2x+2 Not choice 3 because the slope is positive 2.
Therefore, choice 1 is parallel to equation 2x+y=7.
During the winter clearance sale, The Cyclery has marked down all bicycles
20 percent and all accessories 25 percent. You purchase a 26-inch 10-speed bike
that regularly sells for $399.95, a chain and lock that regularly sell for $16.99, a
tire gauge and pump that regularly sell for $24.49, and a deluxe generator and
light package that regularly sells for $79.95.What is the total sale price for
your purchases?
Answer:
During the winter clearance sale, The Cyclery has marked down all bicycles
20 percent and all accessories 25 percent. You purchase a 26-inch 10-speed bike
that regularly sells for $399.95, a chain and lock that regularly sell for
Step-by-step explanation:
hope it helps
If x varies directly as y, and x = 30 when y = 6, find x when y = 9.
x= ?
Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).
A) Prove that the diagonals JL and MK have the same midpoint.
B) Prove that segments JL and MK are perpendicular.
Answer:
Question (a)
Midpoint of a line segment:
[tex]M=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Given:
J = (-2, 2)L = (4, 0)[tex]\implies \textsf{midpoint of }JL=\left(\dfrac{-2+4}{2},\dfrac{2+0}{2}\right)=(1,1)[/tex]
Given:
M = (3, 7)K = (-1, -5)[tex]\implies \textsf{midpoint of }MK=\left(\dfrac{3-1}{2},\dfrac{7-5}{2}\right)=(1, 1)[/tex]
Question (b)
Find slopes (gradients) of JL and MK then compare. If the product of the slopes of JL and MK equal -1, then JL and MK are perpendicular.
[tex]\textsf{slope }m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Given:
J = (-2, 2)L = (4, 0)[tex]\implies \textsf{slope of }JL=\dfrac{0-2}{4+2}=-\dfrac13[/tex]
Given:
M = (3, 7)K = (-1, -5)[tex]\implies \textsf{slope of }MK=\dfrac{-5-7}{-1-3}=3[/tex]
[tex]\textsf{slope of }JL \times \textsf{slope of }MK=-\dfrac13 \times3=-1[/tex]
Hence segments JL and MK are perpendicular
simplify to create an equivalent expression. 8 -4(-x + 5)
Answer:
4x - 12
Step-by-step explanation:
8 - 4(-x + 5)
8 + 4x - 20
4x - 12
Help 'Find the area of the figure'
Answer:
26ft2
Step-by-step explanation:
make it into squares so 2x2 = 4ft
3 x 5 = 15ft
2 x 2 = 4ft
2 x 3 = 6 ÷ 2 = 3ft
4 + 15 + 4 + 3 = 26ft2
Answer:
26 sq ft
Step-by-step explanation:
turn composite figure into workable figures.
in this case a rectangle (5x3) and
a trapezoid (B1 = 7, B2 = 4, and height = 2)
I could use help finding Tony’s mistake?
Answer: 47.5 cm^2
Step-by-step explanation:
Tony's mistake is that he added the area of the rectangle and triangle. Instead you should subtract the area of the triangle from the rectangle.
1. The area of the rectangle is 5*11 = 55 cm^2
2. The area of the nonshaded triangle is 5*3*(1/2) = 7.5 cm^2
3. The area of the shaded region is the area of the rectangle minus the area of the triangle. This equals 55 - 7.5 cm^2 = 47.5 cm^2
A baker decorates 42cupcakes in 30 minutes. She decorates cupcakes at a constant rate.
How many cupcakes can the baker decorate per minute?
Answer: 1.4 min per min
Step-by-step explanation: sorry if wrong
Find X, Y, and Z if (3•5)^4 • (2•3)^5 • (2•5)^7 = 2^x • 3^y • 5^z! Need this ASAP!!!
Answer:
x = 12, y = 9, z = 11
Step-by-step explanation:
(3 x 5)^4 x (2 x 3)^5 x (2 x 5)^7
= 3^4 x 5^4 x 2^5 x 3^5 x 2^7 x 5^7
= 2^(5 + 7) x 3^(4 + 5) x 5^(4 + 7)
= 2^12 x 3^9 x 5^11
so x = 12, y = 9, z = 11
The vertices A(-2,-1), B(-3, 2), C(-1, 3), and D(0, 0) form a parallelogram. The vertices A'(-1, -2), B'(2, -3), C'(3,-1),
and D'(0, 0) are the image of the parallelogram after a sequence of transformations. Which sequence of transformations
could produce the image from the pre-image?
O a reflection over the x-axis and then a reflection over the y-axis
O a reflection over the y-axis and then a 90clockwise rotation about the origin
O a 90clockwise rotation about the origin and then a reflection over the y-axis
O a 90 counterclockwise rotation about the origin and then a reflection over the x-axis
Save and Exit
Next
Mark this and return
Submit
Answer:
A is correct.
Step-by-step explanation:
The rule for this transformation is that (x,y) will become (y,x) if it flips over y=x OR the y-axis and the x-axis.
Select the correct answer.
Simplify the following expression.
5^-5/2 x 5^9/2
A.
B.
C.
D.
Marks model train can go 1/3 around it's track in 2 minutes. If it runs at the same speed, how many laps can the train go in 9 minutes?
Answer:
(3 laps / minute) (9 minutes) = 27 laps
Step-by-step explanation:
my dad help me out on this one a while ago here you go :)
Answer: 27 i think
Step-by-step explanation: hope i got it right
what is the probability There are 12 face cards in a standard 52-card deck. If a card is selected at random from a well-shuffled deck, find the probability that it is not a face card. The answer should be a decimal or percent.
Answer:
There are 52 cards in a deck… 12 of these are Face Cards (the J - Q - K of all four suits).
The probability of getting one of these is therefore 12 out of 52 — or 12/52, which is 23%. Not quite a 1 out of 4 chance, but close.
Write equivalent fractions for 3^3 bottom 4 and 1^2 bottom 3
[tex]\tt \dfrac{3^3}{4}=\dfrac{27}{4}\\\\\dfrac{1^2}{3}=\dfrac{1}{3}[/tex]
Answer:
[tex]\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}[/tex]
[tex]\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3^3}{4}[/tex] and [tex]\frac{1^2}{3}[/tex]
[tex]\frac{3^3}{4}=\frac{3*3*3}{4}=\frac{27}{4}[/tex]
[tex]\frac{1^2}{3}=\frac{1*1}{3}=\frac{1}{3}[/tex]
Hope this helps!
Write an equivalent expression to 12x + 8y please helppp
Answer:
factor and get 4 ( 3x + 2y )
Step-by-step explanation:
4 x 3 is 12 and 4 x 2 is 8
Solve for x given that QRST is a rhombus.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-We have given Rhombus QRSTThe measurement of two sides of rhombus that is ( 6x - 5 ) and ( 4x + 13).To Find :-We have to find the value of x Let's Begin :-Here, We have
Rhombus QRSTWe know that,
All sides of rhombus are equal Opposite sides of rhombus are parallel to each otherTherefore,
From the figure, we can conclude that :-
[tex]\bold{ 6x - 5 = 4x + 13 }[/tex]
[tex]\sf{ 6x = 4x + 13 + 5 }[/tex]
[tex]\sf{ 6x - 4x = 13 + 5 }[/tex]
[tex]\sf{ 2x = 18 }[/tex]
[tex]\sf{ x = }{\sf{\dfrac{18}{2}}}[/tex]
[tex]\bold{ x = 9 }[/tex]
Hence, The value of x is 9 .
The measurement of the sides of rhombus QRST :-Length of side QR
[tex]\sf{ = 6x - 5 }[/tex]
[tex]\sf{ = 6(9) - 5 }[/tex]
[tex]\sf{ = 54 - 5 }[/tex]
[tex]\bold{ = 49 }[/tex]
Length of side RS
[tex]\sf{ = 4x + 13 }[/tex]
[tex]\sf{ = 4(9) + 13 }[/tex]
[tex]\sf{ = 36 + 13 }[/tex]
[tex]\bold{ = 49 }[/tex]
From above we can say that,
All sides of rhombus are equal.Some more properties of rhombus Opposite angles of rhombus are equal Diagonals of rhombus bisect each other at 90°Diagonals of rhombus also bisect the side angles of rhombus Rhombus is a quadrilateral, so the sum of interior angles of rhombus are 360°Whereas, The sum of the adjacent angles of rhombus are 180°.All rhombus are parallelogram but all parallelograms are not rhombus .A rhombus have all its side equal to each other . Therefore, the value of x in the rhombus QRST is 9
Properties of a rhombusAll the sides are equal to each otherOpposite sides are parallelIt is a four sided figure(quadrilateral)Therefore,
6x - 5 = 4x + 13
6x - 4x = 13 + 5
2x = 18
divide both sides by 2
2x / 2 = 18 / 2
x = 9
learn more on rhombus here: https://brainly.com/question/19199419
A Cinco de Mayo parade has 140 dancers. The
dancers are 35% of the people marching in the
parade.
What is the total number of people marching?
The total of people in the Cinco de Mayo parade if there are 140 dancers and these represent the 35% is 400.
How do I find out the total of people in the parade?This information can be known by using the information given about the dancers and a rule of three.
In this case, we know 140 dancers are equal to 35%. This means:
140 = 35 %
x = 100 %
x= 140 x 100 = 35
x= 14000 / 35 = 400
This means 400 are the total people in the parade.
Learn more about Cinco de Mayo in https://brainly.com/question/440893
30 POINTS!!!
What is $3,009.32 rounded to two decimal places?
Answer:
its already rounded to 2 decimal places
Step-by-step explanation:
Answer:
2 . places
Step-by-step explanation:
I guess I guess I guess I guess I guess
What is the surface area of the figure in square units?
Answer:
62 square units
Step-by-step explanation:
Top or bottom is 5 x 3, surface area is 15
front or back is 3 x 2, area = 6
left or right is 5 x 2, area = 10
so total area is 2*(15 + 6 + 10) = 62 square units
Change 457 millimeters to centimeters
Answer:
45.7 Centimeters
Step-by-step explanation:
Hope this helped! :)
What is the total price of a $6.89 item plus 6% sales tax?
The total price of a $6.89 item plus 6% sales tax is $7.3043.
What is a percentage?The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Cost of an item = $6.89
Sales tax = 6%
This means,
Sales tax amount.
= 6/100 x 6.89
= 0.4143
Now,
The total amount of the item.
= 6.89 + 0.4143
= $7.3043
Thus,
The total price plus 6% sales tax is $7.3043.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ2
QUESTION 5
Find the error in the problem below. Then give the correct answer.
X + 2x – 5 = -2
3x - 5 = -2
+5 +5
3x = 7
x= 7/3
Answer:
[tex]x + 2x - 5 = - 2 \\ 3x = 3 \\ x = 1[/tex]
Carbon dating description
Need help with this
Answer: 5,356 is the right asnwer
Step-by-step explanation: I did the paper hope this helps :)
1) Captain Salamander goes on a long journey around the worid. He travels % of the journey by plane, and the rest by boat. What fraction of the journey does he travel by boat?
Answer:
Captain salamander travels world
He travels In plane =1/4
Whole world = 1/4 -Travel distance in boat
1 or 4/4 = 1/4 - Boat
4/4 - 1/4 = BOAT
3/4 = DISTANCE TRAVELLED IN BOAT
Step-by-step explanation:
On average 60 patients stay in the hospital per day. The average stay is 3 days. How many people stay in the hospital per month on average?
What are the coordinates for the given point N(-6,3) after it is rotated
90-degrees about the origin?
What are the coordinates for the given point P(2,-3) after it is
translated using the following vector <-8,5>, then dilated about the origin
with a scale factor of ½.
Answer:
A
D
Step-by-step explanation:
(x,y)→(−y,x)
(-6,3)→(-3,-6)
(2,-3)→(-6,2)→(-3,1)
find the values of X,Y and Z
