The sum of the given expression is 6b^2+8b-15
Sum of expressionGiven the following expression
(6b^2+5)+(8b-20)
We are to take the sum. On expansion;
6b^2+5 + 8b-20
Collect the like terms
6b^2+8b +5 - 20
6b^2+8b-15
Hence the sum of the given expression is 6b^2+8b-15
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In rectangle ABCE, AC is the diagonal. BD⟂AC at O. AB = 13, OA=5. Find the length of OD and OB
plz answer with explanation
Answer:
ABCD is a parallelogram. The diagonals AC and BD intersect at O. If AB = 6 cm, = AC = 11 cm and BO =3.5 cm what is the length of AD?
The diagonals AC and BD bisect each other, therefore AO = OC = 5.5 cm.
The area of triangle AOB = COD = [s(s-a)(s-b)(s-c)]^0.5
Here a = 6, b = 5.5, c = 3.5, so 2s = 15 or s = 7.5. So
[s(s-a)(s-b)(s-c)]^0.5 = [7.5(7.5–6)(7.5–5.5)(7.5–3.5)]^0.5
= [7.5*1.5*2*4]^0.5
= 90^0.5 sq cm
Area of triangle ADC = 2 x area of triangle AOB = 2*90^0.5 sq cm, or
2*90^0.5 = [(s1(s1-p)(s1-q)(s1-r)]^2, squaring both sides we get
4*90 = [s1(s1-p)(s1-q)(s1-r)]
360 = s1(s1–11)(s1–6)(s1-AD) … (1)
2s1 = AD + 11 + 6 = AD + 17, or
s1 = 8.5 + 0.5AD … (2). Put the value of s1 from (2) in (1) to get
360 = (8.5 + 0.5AD)(8.5 + 0.5AD-11)(8.5 + 0.5AD-6)(8.5 + 0.5AD-AD)
360 = (8.5 + 0.5AD)(0.5AD-2.5)(0.5AD+2.5)(8.5 - 0.5AD)
360 = (8.5^2 - 0.5AD^2)(0.25AD^2–6.25)
= - (8.5^2 - 0.5AD^2)(6.25 - 0.25AD^2)
= - (72.25 -0.5AD^2)(6.25 - 0.25AD^2)
360 = - [451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3], or
-360 = 451.5625 -18.0625AD^2 - 3.125AD^2 + 0.125AD^3, or
0.125AD^3 - 21.1875 AD^2 + 451.5625 + 360 = 0, or
0.125AD^3 - 21.1875 AD^2 + 811.5625 = 0, or
AD^3 - 168.5 AD^2 + 6492.5 = 0, or
By trial and error, AD = 6.3272
Check: AD^3 - 168.5 AD^2 + 6492.5
6.3272^3 - 168.5*6.3272^2 + 6492.5
253.3- 6745.6 + 6492.5 = 0.2 as against 0
Hence AD = 6.3272 cm.
Answer:
Assuming you really mean the rectangle is ABCD, not ABDE:
Since DB is perpendicular to AC, it must be square.
If OA = 5, then OB = OC = OD = 5
This isn't possible because the triangle made by ABO would be a right triangle and AO^2 + BO^2 would equal AB^2. It does not.
5^2 + 5^2 =AB^2 = 7.07, not 13
3. The 7th grade students took a survey about which pizza company the students
preferred: Papa John's, Dominos or Pizza Hut. There are 64 students in the 7th
grade.
If 5 out of 8 students chose Papa John's, how many students chose Papa
John's? How many did not?
Answer:
40 students choose Papa John's, and 24 did not
Step-by-step explanation:
This question can be solved by proportions, using rule of three.
For each 8 students, 5 chose Papa John's. Out of 64, how many choose?
5 - 8
x - 64
Applying cross multiplication
[tex]8x = 5*64[/tex]
Simplifying by 8
[tex]x = 5*8 = 40[/tex]
40 students choose Papa John's.
In all, there are 64 students, so 64 - 40 = 24 did not
One interior angle of a convex polygon (a convex polygon is a polygon where all angles
are less than 180 degrees) is 120 degrees. All the other angles are 130 degrees. How many sides
does the polygon have?
Answer:
7 sides
Step-by-step explanation:
120 + 130x = 180 * (x+1-2)
120 + 130x = 180x - 180
300 = 50x
x = 6
You get that x = 6, but there is still one angle that equals 120, so you have a 7 sided polygon.
Answer:
7
Step-by-step explanation:
impact of humour in specific language structure
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
evaluate 3 + jk + k3 when j = 2 and k = 6.
Answer:
231
Step-by-step explanation:
what is 0.46 as a fraction in simplest form, a fraction of 100, and a percent
Answer:
46/100
23/50
46%
Answer:
bleh
Step-by-step explanation:
so that da other guy can get brainliest
the total cost of a pizza and 3 drinks is $19 the price of the pizza is $10 and each drink is the same price D what is the price of one drink please I need help
Answer:
3
Step-by-step explanation:
9 divide by 3 is 3 itself so the answer is 3
what is 4½ pls anwser
Answer:
9/2
Step-by-step explanation:
Answer:
4.5 or 9/2
Step-by-step explanation:
5. A baker had 2 pans of corn bread. He served 1 1/4 pans. What fraction of a pan was left?
Answer:
3/4 a pan
Step-by-step explanation:
2 - 1 1/4 = 3/4
two seperated into fourths would look like this
1/4 1/4 1/4 1/4
1/4 1/4 1/4 1/4
one seperated into fourths would look like this
1/4 1/4 1/4 1/4
so take one and one extra fourth away from two and you're left with
1/4 1/4 1/4
add that together and you have 3/4
Please help me Answer this :)
( Will give brainlst!!)
<3
Answer:
( it's below)
Step-by-step explanation:
a. electron
b. proton
c. neutron
d. electron shell
Answer:
a:Electron
b:proton
C:neutron
d:electron shell
i) Coordinates of point P
a) (1,1) b) (1,2) c) (2,1) d) (1,0)
ii) Coordinates of point Q
a) (0,-3) b) (-3,0) c) (-3,-3) d) (0,3)
iii) Coordinates of point T
a) (-4,-2) b) (-2,-4) c) (4,-2) d) (-2,4)
iv) (Ordinate of T) – (Abscissa of R)
a) -4 b) 4 c) 0 d) -2
v) (Abscissa of Q) – (Ordinate of S)
a) -4 b) 4 c) 2 d) -2
Given:
Five points P, Q, R, S ,T on a coordinate plane.
To find:
The coordinates of (i) P, (ii) Q, (iii) T, (iv) (Ordinate of T) – (Abscissa of R) and (v) (Abscissa of Q) – (Ordinate of S).
Solution:
From the given graph it is clear that the coordinates of given points are
P = (1,1)
Q = (-3,0)
R = (-2,-3)
S = (2,1)
T = (4,-2)
(i)
Coordinates of point P are (1,1).
Therefore, the correct option is (a).
(ii)
Coordinates of point Q are (-3,0).
Therefore, the correct option is (b).
(iii)
Coordinates of point T are (4,-2).
Therefore, the correct option is (c).
(iv)
Ordinate is y-coordinate and abscissa is x-coordinate.
Ordinate of T = -2
Abscissa of R = -2
(Ordinate of T) – (Abscissa of R) = -2 - (-2)
= -2 + 2
= 0
Therefore, the correct option is (c).
(v)
Abscissa of Q = -3
Ordinate of S = 1
(Abscissa of Q) – (Ordinate of S) = -3 - 1
= -4
Therefore, the correct option is (a).
The independent variable is represented by the symbol(s)
1. Y
2. xy
3. Both A and B
4. X
5. None of the above
Answer:
4
Step-by-step explanation:
because variable is independent
David's overtime rate is $20. This week, he worked 3 overtime hours. How much will he get paid for overtime?
A. $30
B.$45
C$60
Answer:
$60
Step-by-step explanation:
3x20=60
1. (a) Find the remainder when 5x2 – 3x + 6 is divided by 2x-1
Answer:
The answer is 5/2X - 1/4. The remainder is 23/4.
A garden table and a bench cost $793 combined. The garden table costs $43 more than the bench. What is the cost of the bench?
Answer:
The bench costs $375
Step-by-step explanation:
t + b = 793
t = b+43
(b+43) + b = 793
2b + 43 = 793
2b = 750
b = 375
The bench costs $375
Find the percent change from the first value to the second.
40;72 (show how you got your answer for a brainliest)
Answer:
80% increase
Step-by-step explanation:
There are two ways to do this
The first way is to set up a percent proportion
[tex]\frac{72}{x}[/tex] = [tex]\frac{40}{100}[/tex]
To find x, we can do:
x = [tex]\frac{72 * 100}{40}[/tex]
x = [tex]\frac{7200}{40}[/tex]
x = 180
72 is 180% of 40
There is an 80% increase.
The second way to do it (the way I find easier) is to use benchmark fractions:
We look at 40 and 72 and realize that (40 * 2) - 8 = 72
So 200% of 40 - 8 = 72
Then, we find out what percent of 40 is 8.
10% of 40 is 4
so that means 20% of 40 is 8 (10% * 2 = 4 * 2)
Then we do:
80 - 8 = 72
200% - 20% = 180%
72 = 180% of 40
Which is an 80% increase
Let me know if you have any questions
Joe and his friend are going hiking they bring with them a container that holds 1/2 of gallons of water if they share the water equally will fraction of a gallon would each friend get?
A. 1/3
B. 3/2
C. 1/4
D. 1/6
Please help this is due today!
Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.
Answer:
perdita is correct
Step-by-step explanation:
perdita is correct because A isoceles triangle has two of the same. The triangle will just be very very thin
Chris received $50,000 from his grandparents as a graduation gift. So, he has decided to invest the money
to pay his living cost at a college, which is $3,000 a year. There are two options: a bond that pays 12% and
a CD that pays 5%. How much should he invest in the bond? [Please round your answer to 2 decimal places.]
Answer: $7142.86
Step-by-step explanation:
Let the amount to be invested in the bond be represented by y.
Based on this, the amount to be invested in the CD will be: = 50000 - y.
From the information given, yearly interest on bond is 12%, this will be:
= 12% × y = 0.12 × y = 0.12y
Also, interest on CD will be:
= 5% × (50000 - y)
= 0.05(50000 - y)
Then, the equation to get the amount to be invested in bond will be:
0.12y + 0.05(50000 - y) = 3000
0.12y + 2500 - 0.05y = 3000
0.12y - 0.05y = 3000 - 2500
0.07y = 500
y = 500/0.07
y = 7142.8571
y = 7142.86
The amount to be invested in bond will be $7142.86
If a cable repairman is supposed to show up to for a repair between 1:00pm and 6:00pm and the home owner can’t be homeuntil 3:00pm, what is the probability that the home owner will be home when the cable repair man shows up (assuming the repairman is equally likely to come at any time during the specified range)?
A) 60%
B) 65%
C) 70%
D) 75%
Answer:
60%
Step-by-step explanation:
3/5 likely, because there are five hours when the repairman could show up.
Three of them will have the homeowner, and 2 would not. 3/5=0.6=60%
Answer:
for da other guy to get brainliest
Step-by-step explanation:
What is the volume of the prism?
Answer:
Step-by-step explanation:
PLS HELP IF YOU ANSWER I WILL GIVE BRAINLIEST ANSWER!
Choose the symbol that goes in the blank to make the statement true.
96,000 _ 128,000 = < >
Answer:
<
Step-by-step explanation:
hhahaha
What is the x- value of the midpoint between A (-8,-6) and B (0, 6)?
Answer:
Step-by-step explanation:
Take average of the x-coordinates of A and B.
(-8+0)/2 = -4
x-coordinate of midpoint = -4
The required x value of the midpoint between A(-8, -6) and B (0, 6) is -4.
Given that,
To determine the x value for the midpoint between A (-8,-6) and B (0, 6).
Coordinate, is represented as the values on the x-axis and y-axis of the graph. Where x coordinate of the graph is called an abscissa and y coordinate of the graph is called ordinate.
The midpoint is that point of the line which has an equal distance from both ends of the line.
the x value of the midpoint between A(-8, -6) and B (0, 6) is given by,
x = ( x1 + x 2) / 2
x = ( - 8 + 0 ) / 2
x = - 8 / 2
x = - 4
Thus, the required x value of the midpoint between A(-8, -6) and B (0, 6) is - 4.
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Which statement about the graph of y
3x + 5 is correct?
A. The line passes through the ordered pair (3,0) and has a slope of 5.
B. The line passes through the ordered pair (0,5) and has a slope of 3.
С. The line passes through the ordered pair (5,20) and has a slope of 5/3
D. The line passes through the ordered pair (3, 14) and has a slope of 3/5
The correct statement for the equation of the line is the line passes through the ordered pair (0,5) and has a slope of 3.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Compare the given equation of the line y = 3x + 5 with the general equation.
y = mx + c
y = 3x + 5
The slope, m = 3
y-intercept = 5
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Find the GCE.
10rs, 35rst
A movie theater has a seating capacity of 289. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2106, How many children, students, and adults attended?
Answer:
Number of children in theater = 94
Number of students = 46
Number of adults in theater= 47
Step-by-step explanation:
Total seating capacity in the theater = 187
Let us assume the number of students in the theater = m
and assume the number of children in the theater = 2k
So, the number of adults in theater = Half of number of children = 2k/2 = k
⇒ Number of ( Adults + Children + students) = 187
⇒ k + 2k + m = 187, or 3k + m = 187
Step-by-step explanation:
A prehistoric site was discovered. The site is a nearly perfect circle
Answer:
whats the question
Step-by-step explanation:
find the value of y and (4x+8)°
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
HELP ME!!!!!!!!!!!!!!
Answer:
i wanna say it would be 1,735-3%y