Figure ABCD is a parallelogram. What are the lengths of line segments AB and BC?
AB = 4 BC = 16
AB = 4: BC = 8
AB = 10; BC = 20
AB = 10; BC = 28
Answer:
AB = 10; BC = 28.
Step-by-step explanation:
It is given ABCD is a parallelogram. In a parallelogram opposite sides are equal.
AB=DC and AD=BC.
Substituting the given values in terms of x ad y we have:
3y-2=y+6 and 2x-4=x+12
Solving for x and y ,
3y-y=6+2 and 2x-x=12+4
2y=8 and x=16.
y=4 and x=16.
AB=3y-2 and BC=x+12
AB=3(4)-2 and BC= 16+12=28.
AB=10.
The correct answer is AB = 10; BC = 28.
cho hàm tổng chi phí TC=2Q^3-11Q^2+25Q. Hãy xác định mức sản lượng tại đó chi phí cận biên cân bằng với giá thành sản phẩm.
A:11/3
B:11/4
C:11/5
D:11/2
mọi người giúp em với ạ. plz
find the domain and range of the function f(x) = x -|2 cos x|
The domain and range of the function f(x) = x -|2 cos x| includes all real numbers.
Domain and Range of a functionThe domain and range of a function simply refers to the set of all possible inputs and outputs of a function respectively.
On this note, the function, f(x) = x -|2 cos x| given has domain and range in the set of all real numbers....This follows from the fact that the function is linear.
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How much is a $28 shirt
that is on sale for 30% off?
30%=8.40
28-8.4=$19.60
Answer:
8.4
Step-by-step explanation:
30% = 0.30 or 0.3
0.3 x 28 = 8.4
(i usually use a calculator for this part)
How many ways can six of the letters of the word palindrome be selected and written in a row where either the first two letters are PA(in order) or the last two letters are ME (in order)
There are 48 ways to select and arrange six letters from the word "palindrome".
Case 1: First two letters are "PA" (in order)
In this case, to select four letters from the remaining seven letters of the word "lindrome" and arrange them.
The order of the selected four letters is important.
So, the number of ways for this case is:
Number of ways = 4! = 24
Case 2: Last two letters are "ME" (in order)
Similarly, in this case, to select four letters from the remaining
seven letters of the word "palindr" and arrange them.
The number of ways for this case is also:
Number of ways = 4! = 24
Now, the total Number of ways
= Number of ways in Case 1 + Number of ways in Case 2
= 24 + 24
= 48
Therefore, there are 48 ways to select and arrange.
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A bag contains 3 blue marbles and
4 yellow marbles. You pull out one
marble, do not replace it, and then pull
out another one. What is the probability
that the first marble is yellow and the
second one is blue? In simplest form
Answer:
2/7
Step-by-step explanation:
Probabilty 1 = 4/7
Probability 2 = 3/6 = 1/2 (because if you not replace it, there is one less
final probability = 4/7 * 1/2 = 4/14 = 2/7
How many 3s must be added to a list of six 11s so that the average of all the numbers is 6
Answer:sj
Step-by-step explanation:
d fjls ljf s
Find n(a) for the set
Answer:
11
Step-by-step explanation:
n(A) means the number of elements in set A
Element 1=-10
Element 2=-9
Element 3=-8
Follow the pattern
Element 4=-7
Element 5=-6
Element 6=-5
Element 7=-4
Element 8=-3
Element 9=-2
Element 10=-1
Element 11=0
There are 11 elements in set A.
Also this has the same number of elements as {0,1,2,...,8,9,10} which has (10+1) elements.
Write 7.9 × 10^6 in standard form
Answer:
0.0000079 i think
Step-by-step explanation:
because it is or its 7900000 if its not a negitive
1
Select the correct answer
which set of numerical values represents the minimum lower quartile, median, upper quartile, and maximum, in that order, of the box plot of
this data set
51.51.53 53 54 55 55 56 58 58 58. 59.60
51.54 56 58 60
51.53 56 59 60
C 53 54 55.59.60
51.53.55. 58. 60
Which expressions are equal to
6to the 3rd power 2 to the 6th an 2 to the 3rd
26. 33
63
126
123
23. 33
Answer:
I think the first one and the last one
Step-by-step explanation:
ik im wrong
The solution for the first expression is 110592. The solution of the second expression is 72.
In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.
Using these rules, we can simplify the expressions as follows:
E = 6³ x 2⁶ x 2³
E = 6³ * 2⁶⁺³
E = 6³ x 2⁹
E = 216 x 512
E = 110592
Therefore, the first expression is equal to 110592.
To simplify the second expression, we can simply evaluate 2^6 and 2^3 and add the results:
E = 2⁶ + 2³
E = 64 + 8
E = 72
Therefore, the second expression is equal to 72.
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a home improvement store charges $20 to rent a small truck for 1 hour . Each additional hour costs $25 . There is also a fuel surcharge of $0.05 for each mile driven .How much will it cost to rent the truck for 4 hours if it is driven 30 miles
Answer:
It will cost $121.50
Step-by-step explanation:
C = 20 + 25h + .05m
Now plug in the hours and miles
C = 20 + 25(4) + .05(30)
C = 20 + 100 + 1.5
C = 121.50
The total cost rent the truck for 4 hours and 30 miles drive is $121.5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Given that, a home improvement store charges $20 to rent a small truck for 1 hour.
Let the number of hours be h and the number of miles be m.
Now, total charge = 20+25h+0.05m
Here, h=4 and m=30
So, total charge = 20+25(4)+0.05(30)
= $121.5
Therefore, the total cost rent the truck for 4 hours and 30 miles drive is $121.5.
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Write an exponential equation using y a(b) that
represents the growth or decay of the situation.
A house was purchased for $160,000. The house has an
annual appreciation rate of 8%. Please write a let statement
and an equation that represents the house's value over time.
Answer:
[tex]y = 160000 * (1.08)^t[/tex]
Step-by-step explanation:
Given
[tex]a = 160000[/tex] --- initial
[tex]r =8\%[/tex] --- rate
Required
The function over time
The function is calculated as:
[tex]y = a(1 + r)^t[/tex]
So, we have:
[tex]y = 160000 * (1 + 8\%)^t[/tex]
Express percentage as decimal
[tex]y = 160000 * (1 + 0.08)^t[/tex]
[tex]y = 160000 * (1.08)^t[/tex]
Sorry for asking for help for all of these questions but I’m really struggling so I need help again
Answer:
c. 17
Step-by-step explanation:
So the equation is 3g = 51.
What we are given is {15, 16, 17}
Let's plug in each of these into the equation for g.
3(15) = 51
45 = 51
45 does not equal 51.
3(16) = 51
48 = 51
48 does not equal 51
3(17) = 51
51 = 51
51 does equal to 51.
So 17 is your answer, because if you plug it into the equation, you get an equivalent answer of 51.
pls help me solve this questionnnnn
9514 1404 393
Answer:
arc BC = 60°m∠ADC = 60°m∠AEB = 105°m∠ADP = 45°m∠P = 60°Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
__
In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Use the graph to answer the questions.
1) write into vertex form.
2) identify the vertex, focus, and directrix.
Answer:
y = 2( x+5)^2 -4
Vertex (-5,-4)
directrix y = -33/8
focus (-5, -31/8)
Step-by-step explanation:
First identify the vertex, which is the minimum
Vertex = (-5,-4)
The vertex form is y = a( x-h)^2 + k
y = a( x- -5)^2 -4
y = a( x+5)^2 -4
We need to determine a
Substitute a point on the graph
(-3,4) is on the graph
4 = a( -3+5)^2 -4
4 = a( 2)^2 -4
4 = 4a -4
Add 4 to each side
8 = 4a
Divide by 4
8/4 = a
a=2
y = 2( x+5)^2 -4
To find the focus and directrix, write in standard form
4p(y-k)=(x-h)^2
y+4 = 2(x+5)^2
1/2 (y+4) = (x+5)^2
4p = 1/2
p = 1/8
The focal length is 1/8
Subtract this from the y coordinate to get the directrix
y = -4 -1/8
y = -32/8 - 1/8 = -33/8
Add this to the y coordinate to get the coordinate for the focus the x coordinate the same
(-5, -4+1/8)
(-5, -32/4+1/8)
(-5, -31/8)
The values that divide a list of numbers into four groups are called _____.
Answer:
I think that the answer you're looking for is quartiles!
Step-by-step explanation:
They divide your data into four segments according to where the numbers fall on the number line.
what is f(x)? What point is on the graph of f?
Answer: A) -2; (2, -2)
Step-by-step explanation: If x is 2 then only the first two answers have the possibilty of being correct since in the coordinate pair the x coordinate is 2.
Sub in x and solve equation
[tex]\frac{x^2-2}{x-3}\\\frac{2^2-2}{2-3}\\\frac{4-2}{-1} \\\frac{2}{-1} \\-2[/tex]
f(x)=-2 so that is where the point of f is.
If the sun is 67° above the horizon, find the length of the shadow cast by a building 61 ft tall. Round your answer to the nearest tenth. (plz help I list brainlist)
Answer:
25.9 ft
Step-by-step explanation:
tan = opp/adj
tan67 = 61 / adj
adj = 61/tan67
use calculator
adj = 25.892963788785889
Rounded
25.9 ft
HELPPP MEE PLEASEEE I DONT WANNA FAIL SUMMER SCHOOL NO FILES OR LINKS WOULD BE DEEPLY APPRECIATED
If x^3 + 4x^2 - 16x + 24 is divided by x + 3, what is the value of the remainder?
A.-33
B.24
C.57
D.81
Answer:
24
Step-by-step explanation:
Answer:
the remainder is 81
Step-by-step explanation:
so , equate x +3 to 0 , as in x + 3 = 0 then x = -3
so now we know the value of x so just replace it in the expression to get the remainder
♡´・ᴗ・`♡
There are 40 students in a class. 4 of them are absent, then find the
percent of present students.
Please help by writing down the steps as well.
Answer:
90%
Step-by-step explanation:
present students:40-4=36
36/40*100
=90%
Answer:
90% are present
Step-by-step explanation:
40-4=36
36 are present
36/40 = x/100
36x100=3600
3600/40=90
answer: 90/100 = 90%
Last year the division had total sales of 23,380,000 , operating income of 2,828,980, and invested assets of 10,000,000. Required : a. What is the division's profit margin ? b. What is the division's investment turnover? c. What is the division's return on investment (ROI) using DuPont formula? d. What is the residual income if investors require a minimum return of 20% ?
Answer:
The solution is given below
Step-by-step explanation:
The computation is shown below:
a. The profit margin is
= Operating income ÷ total sales
= $2,828,980 ÷ $23,380,000
= 12.1%
b. The investment turnover is
= Total sales ÷ total assets
= $23,380,000 ÷ $10,000,000
= 2.34
c. The return on investment is
= Profit margin × investment turnover
= 12.1% × 2.34
= 28.29%
d. The residual income is
= Operating income - (minimum rate of return × assets)
= $2,828,980 - (20% of $10,000,000)
= $828,980
Which of the following describes a compound event?
A. Tossing 5 coins and getting 4 heads
B. Rolling 3 on a die
C. Tossing a coin and getting tails
D. Drawing the ten of diamonds from a deck of cards
Answer:
A. Tossing 5 coins and getting 4 heads
Step-by-step explanation:
Compound events may be described as events whose occurence has more than one possible outcome, that is the number of possible events is more than one. From the options given above, Rolling 3 on a die, this event has only one possible outcome, which is rolling 3 ; tossing a coin and getting tails also has one obe possible outcome. Drawing 10 diamonds from a deck also focuses on one event which is drwinh diamonds. However, tossing 5 coins and getting 4 heads involves that the 5th toss will be tail. This has more than one event and thus a compound event.
Answer: A.
Step-by-step explanation:
Tossing five coins and getting four heads is a compound event as the coins and cards are different
A person borrowed Rs. 5550 from is at 4% compound interest Rs 500 was paid each year. what amount paid at the end of 5th year will clear the debt?
Solution :
Money left after 1st year :
[tex]M = 5550( 1 + \dfrac{4}{100}) - 500 = 5272[/tex]
Money left after 2nd year :
[tex]M = 5272( 1 + \dfrac{4}{100}) - 500 = 4982.88[/tex]
Money left after 3rd year :
[tex]M = 4982.88( 1 + \dfrac{4}{100}) - 500 = 4682.19[/tex]
Money left after 4rd year :
[tex]M = 4682.19( 1 + \dfrac{4}{100}) - 500 = 4369.48[/tex]
Money left after 5rd year :
[tex]4369.48(1+\dfrac{4}{100})-500 = 4044.26[/tex]
At the end of 5th year an amount of Rs 4044.26 will clear the debt.
Can someone please help me?
Answer:
18
Step-by-step explanation:
If two people paint a wall, each will paint half of the sall
If jamie paints the entire wall in 54 minutes alone then he/she can paint half the wall in 54/2=27 minutes
The question said that it took 36 minutes all together, so if 27 minutes(jamies half) is subtracted from 36, we get that it took Connie 9 minutes for her half.
If connie paints an entire wall, then we multiply the time it took her( 9 minutes) by 2 to get 18 minutes.
Find the volume of the rectangular prism below.
Answer:
I have two but im unsure
without fractioned to pie it is
1568
but with the [tex]\pi[/tex] fraction it is
499.11
Step-by-step explanation:
I will mark brainliest to whoever answers the question fast and correct.
The expression 2(1 + W) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is 2/3 unit and the width is 1 3 unit, what is the perimeter of the rectangle in units? 2/3unit 1 unit 1 2/3unit 2unit
Answer:
the answer is a
Step-by-step explanation:
The box plots represent the distances run by the players in a football match.
Team B
8.7 88 89 90 91 92 93 9.4 0.5 0.6 0.7 08 09 10.0 10.1 10.2 10.3 10.4
Distance run (km)
The players in Team A ran more consistent distances.
How do the box plots show this?
(Total 1 mark)
Answer:
Following are the response to the given question:
Step-by-step explanation:
Its scope, as well as the cross median range, could be established using the measurement for dispersal by looking at even a booth map. We simply search for the difference between the larger and lowest data value to define the range, and we make all the difference between the third quartile and first quarter for the disposing of products and services ranges.
Team A:
[tex]R=V_{max} -V_{min} \to R= 10.2 – 8.8 = 1.4 \\\\IQR = Q_3 - Q_1 = IQR = 9.09 - 9.5 = 0.4\\\\[/tex]
Team B:
[tex]R= 10.4 - 9.0 = 1.4\\\\IQR= 10.1 – 9.6 = 0.5[/tex]
Based on previous results, you see an equal range, but variation in the interquartile. Group B does have a greater confidence interval than Group A, therefore we can say it is far more consistent over group B distance. Group A is a different type.
The rectangles shown below are similar.
Which statement below shows the correct proportion between their sides?
Answer:
12/4 = L/8
Step-by-step explanation:
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