Answer:
10201
Step-by-step explanation:
=(101)²
=(100+1)²
={100²+2(100)(1)+1²} [(a+b)²=a²+2ab+b²]
=10000+200+1
=10201
Solution :-
Given,
(101)^2We need to solve it using identities.
>> (100 + 1)^2
As we know that,
>> (a + b)^2 = a^2 + b^2 + 2ab
Here,
a = 100 b = 1Using the identity we gets,
>> (100)^2 + (1)^2 + 2(100)*(1)
>> 10000 + 1 + 200
>> 10000 + 201
>> 10201
carmen ha visto la television durante cada dia de la semana pasada y se registraron los siguientes numeros de horas 3,2,3,3,2,6 y 3 en promedio ¿cuantas horas al dia esta Carmen frente al televisor?
Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
were 175 adult tickets sold and 103 child tickets sold. There was a total of $13796 in ticket sales. The
Jones family bought two adult tickets and two child tickets and spent a total of $184. How much does an
adult ticket cost and how much does a child ticket cost?
Answer:
Adult ticket is $60
Child ticket is $32
Step-by-step explanation:
Let x = price of adult ticket
y = price of child ticket
(1) 175x + 103y = 13796 (2) 2x + 2y = 184
x + y = 92
y = 92 - x
175x + 103(92 - x) = 13796
175x + 9476 - 103x = 13796
72x = 4320
x = 60 y = 92 - 60
y = 32
About 8 out of 15 homes have a dog as a pet. On a street with 165 homes, how many would you expect to have a dog for pets?
Please explain how you got your answer.
Answer:
88
Step-by-step explanation:
create a proportion:
8/15 = x/165
cross-multiply:
15x = 1320
x = 88
A compact disc player costs £50 plus 17 1/2 % VAT.
Calculate the total cost of the compact disc player.
Answer:
£58.75
Step-by-step explanation:
Given data
Cost = £50
VAT= 17 1/2%= 17.5%
Let us find the amount of the VAT
=17.5/100*50
=0.175*50
= £8.75
Hence the total cost of the compact disk is
=50+ 8.75
=£58.75
Calculating area of rectangle with a diagonal of 5m height of 3m and length of 4m
Answer:
area = 12 m²
Step-by-step explanation:
area = L x W
area = 4 x 3 = 12 m²
Answer:
12m ²
Step-by-step explanation:
Area of rectangle = l × b
= 4m × 3m
= 12m²
What is the area of major sector DFE?
A. 157.86 square cm
B. 133.94 square cm
C. 132.54 square cm
D. 125.57 square cm
Answer:
Step-by-step explanation:
Area of the circle = πr² = π7.3² = 53.29π
Area of major sector = 53.29π(285/360) ≈ 132.54 cm²
The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.
What is a Major Sector ?The region bounded by the two radii and intercepted arc in a circle is called a sector .
The angle made by the radii to the center of the circle is called central angle .
if the measure of the angle is less than 180 degree then it is called minor sector and if the angle is more than 180 degree , it is called Major Sector.
It is given that
The radii of the circle is 7.3 cm
The angle subtended by the major sector at the center is 285 degree.
The area of the sector is given by
= ([tex]\rm \theta[/tex] / 360) * Area of the circle
Area of the circle is πr²
Area of the sector = ( 285 / 360) * (22/7) * (7.3)²
Area of the sector is 132.5 sq.cm
Therefore , The area of major sector DFE is 132.5 sq.cm , Option C is the right answer.
To know more about Major Sector
https://brainly.com/question/1450993
#SPJ2
The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 15 feet. Which measurement is closest to the length of this rectangle in feet?
Answer:
a=14.46ft
Step-by-step explanation:
1) a^2*b^2=c^2
2) a^2*4^2=15^2
3) a^2*16=225
4) a^2=209
5) a=[tex]\sqrt{209}[/tex]
6) a=14.46ft
can someone please help me
Answer:
Step 2 has the error because they added the five to -3 and got -8 when they should have gotten 2.
Step-by-step explanation:
Pls answer asap, brainilest will be given to best answer, and best explanation.
Answer:
it should be D
Step-by-step explanation:
because A is going at y=30x, and B is slower than it. So there's only one choice that matches. which is y=15x
Suppose f(x) = abx + c is an exponential function. One value which b CANNOT have is
Answer:
b cannot be 1
Step-by-step explanation:
Given
[tex]y = ab^x + c[/tex]
Required
Values b cannot have
In an exponential equation, the value of b can be:
[tex]b > 1[/tex] ---> This represents growth
[tex]b < 1[/tex]----> This represents decay
[tex]b \ne 1[/tex] ---> The value of b can't be 1. If b is 1, then it is not an exponential function
A pizza box measures 14 inches by 14 inches by 3.5 inches. What is the volume of the pizza box?
Answer:
Your answer would be 686in
Step-by-step explanation:
I say this because were suposed to use the formula V= l x w x h nd when applied it looks like this 686in = 14 x 14 x 3.5. Your welcome
The Volume of Pizza box is 686 inches³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Given:
We have pizza box of shape Cuboid
length = 14 inches
width = 14 inches
height= 3.5 inches
So, Volume of box
= l x w x h
= 14 x 14 x 3.5
= 686 inches³
Learn more about Volume here:
https://brainly.com/question/46030
#SPJ6
Can someone help me PLZ! I keep posting the same question and no ones helping me :((((((((((((
Solve this system by graphing. Include your graph on your work upload.
2x + y = 3
y = x - 3
Which point is the solution?
Group of answer choices
(-1, 2)
(2, -1)
(1, -2)
(-2, -1)
Answer:
(2, -1)
Step-by-step explanation:
The lines intersect at (2,-1), I graphed out the equations
80% of the 30 girls at the party wanted to dance with Josh. How many girls wanted to dance with Josh?
Answer:
24 girl wanted to dance with Josh
Answer:
24
Step-by-step explanation:
30÷10=3 (10%)
3x8= 24
You deposit $400 in an account. The account earns $18 simple interest in 9 months.What is the annual interest rate?
Use the formula,
I = Prt
P = Principal amount = 400
I = interest = 18
r = annual rate
t = time in years = 9/12 = 3/4
so,
18 = 400*r*3/4
r = 0.06
so the annual interest rate is 0.06 or 6%
Simplify -18b^-4 Pliz help, I don’t understand math, especially Algebra II
Answer:
B. -[tex]\frac{18}{b^4}[/tex]
Step-by-step explanation:
(✿◡‿◡) <-- she wants Brainliest
Answer:
b
Step-by-step explanation:
It costs $35 for one adult and two children to attend a show. It costs $60 for two adults and three children to attend the same show. How much does it cost one adult and one child to attend the show? Set up and solve a system of equations using substitution.
Answer:
For one adult it costs $15
For one child it costs $10
Step-by-step explanation:
So..
One adult = $15
Two children = $20 10×10
= $35
Then..
Two adult = $30 15×15
Three children = $30 10×10×10
= $60
Plz mark brainliest thanks
The plot below shows the length of each of the 7 bulletin boards hanging in the fifth grade hallway. All measurements are rounded to the nearest 1/2 fraction meter.If the 3 longest bulletin boards were side by side, what would their total length be?
Answer:
[tex]Total = 11m[/tex]
Step-by-step explanation:
Given
See attachment for dot plot
Required
The length of the 3 longest boards
From the attachment, the longest bulletin is 4 meters long which has a frequency of 1. This is followed by bulletin of 3 1/2 meters long; however, the frequency is 2
The frequency is gotten by counting the total dots on each length.
So, the total is:
[tex]Total = 4 m* 1 + 3\frac{1}{2} m* 2[/tex]
[tex]Total = 4m + 7m[/tex]
[tex]Total = 11m[/tex]
What is the area of this trapezoid?
26 cm²
32 cm²
40 cm²
72 cm²
Answer:
area = 26 m²
Step-by-step explanation:
4x5 = 20
3x4x0.5 = 7.5
20 + 6 = 26 m²
The graph shows a proportional relationship between
the variables x and y.
A. Write an equation to model the relationship
B. Explain how you know if an equation or a graph
represents a proportional relationship.
Step-by-step explanation:
Equation: y = 12x + 0
Explaination: A proportional relationship is one in which two quantities vary directly with each other. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other.
Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A.
42 − 33
B.
33 + 42
C.
4 − 33
D.
33 − 42
E.
32 − 43
Answer:
The answer is D. 33-42
Step-by-step explanation:
Because it says that Alia got 42 fewer jelly beans than Kelly did so you would do 33-42.
PLEASE HELP ASAP!
Bowler World charges $5.00 to rent shoes and $1.10 per game. Lucky Spares charges $3.00 for shoes and $1.50 per game.
Part A
Drag numbers to complete a system of equations to represent the situation, using g for number of games and c for cost. Numbers may be
used once, more than once, or not at all.
Answer:
Here hopes this helped..Step-by-step explanation:
Can someone help me and show how to do it
Answer:
Step-by-step explanation:25
What is the value of the expression 9 + (fraction 1 over 2)4 ⋅ 48?
12
15
17
18
Question 2 (Fill-In-The-Blank Worth 1 points)
(06.04 LC)
If x = 2.7, 5x = ____. (Input decimals only, such as 12.7.)
Answer for Blank 1:
Question 3(Multiple Choice Worth 1 points)
(06.07 HC)
Which expression is equivalent to 12x − 8x + 3 and why?
3 + 4x, because (12x − 8x) + 3 = 4x + 3 = 3 + 4x
7x, because 12x − 8x + 3 = 4x + 3 = 7x
12x − 5, because 12x − (8x − 3) = 12x − 5
x, because 12x − 8x + 3 = 12x − 11x = x
Question 4(Multiple Choice Worth 1 points)
(06.07 MC)
Which expressions are equivalent to 3(x + 3y + 2x − y )?
3(3x + 2y) and 9x + 6y
3(3x + 4y) and 9x + 12y
3(x + 4y) and 3x + 12y
3(x + 2y) and 3x + 6y
Question 5(Multiple Choice Worth 1 points)
(06.04 MC)
What is the value of fraction 1 over 2x3 + 5.2y when x = 2 and y = 3?
8.2
9.2
18.6
19.6
Question 6(Multiple Choice Worth 1 points)
(06.06 LC)
Which of these shows 8 + 3m rewritten using the commutative property of addition?
8m + 3
8 − 3m
3m − 8
3m + 8
Question 7(Multiple Choice Worth 1 points)
(06.02 LC)
Which of these is the algebraic expression for "5 times the sum of 2 and y?"
5 ⋅ 2 + y
2 + 5 ⋅ y
2(5 + y)
5(2 + y)
Question 8(Multiple Choice Worth 1 points)
(06.06 MC)
The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
Step 1: 8 + 12x
Step 2: 4(4) + 4(8x)
Step 3: 4(4 + 8x)
Step 4: Dimensions of the rectangle are 4 and 4 + 8x
In which step did the student first make an error and what is the correct step?
Step 2; 4(2) + 4x(2)
Step 2; 4(2) + 4(3x)
Step 3; 4 + (4 + 8x)
Step 3; 4 + (4 ⋅ 8x)
Question 9(Multiple Choice Worth 1 points)
(06.03 MC)
Which statement best describes the expression 3 + y ÷ 2?
The quotient of 2 and the sum of 3 and y
The quotient of the sum of 3 and y, and 2
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
Question 10(Multiple Choice Worth 1 points)
(06.01 MC)
What is the value of the expression 22 + 62 ÷ 22?
10
13
16
36
Question 11 (Fill-In-The-Blank Worth 1 points)
(06.01 LC)
34 + 2 ⋅ 5 = ____. (Input whole numbers only.)
Numerical Answers Expected!
Answer for Blank 1:
Question 12(Multiple Choice Worth 1 points)
(06.06 LC)
Which algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
Distributive property
Associative property
Commutative property of multiplication
Commutative property of addition
Question 13(Multiple Choice Worth 1 points)
(06.02 LC)
Which statement best describes the expression 4y ÷ 9?
9 divided by 4 times y
9 times y divided by 4
4 times y divided by 9
4 divided by 9 times y
Question 14(Multiple Choice Worth 1 points)
(06.07 LC)
Which expression is equal to 5p?
p + p + p + p + p
4p + 1
p + 5
p3 + p2
Question 15(Multiple Choice Worth 1 points)
(06.04 MC)
The expression to find the perimeter of a rectangle is 2(length + width). What is the perimeter, in units, of a rectangle of length fraction 1 over 5 unit and width fraction 1 over 2 unit?
fraction 1 and 2 over 5 units
fraction 1 and 1 over 5 units
fraction 4 over 7 unit
fraction 2 over 7 unit
Question 16(Multiple Choice Worth 1 points)
(06.03 MC)
Which expression shows a sum of three terms?
3x
3 + x
x3
x + 3 + x
Question 17(Multiple Choice Worth 1 points)
(06.02 MC)
Which of these is the algebraic expression for "4 less than the product of 3 and some number?"
4m − 3
3m − 4
3 − 4m
4 − 3m
Question 18(Multiple Choice Worth 1 points)
(06.03 LC)
What is the coefficient of y in the expression 2 ⋅ 4 + 3y?
2
3
7
8
(a) The value of 9 + (1/2) /4 * 48
We have:
[tex]9 + (1/2) /4 * 48[/tex]
Evaluate the quotients
[tex]9 + (1/2) /4 * 48 = 9 + 1/8 * 48[/tex]
Evaluate the products
[tex]9 + (1/2) /4 * 48 = 9 + 6[/tex]
[tex]9 + (1/2) /4 * 48 = 15[/tex]
Hence, the value of the expression 9 + (1/2) /4 * 48 is 15
(b) If x = 2.7, 5x =
The value of x is given as 2.7.
So, we have:
[tex]5x = 5 * 2.7[/tex]
[tex]5x = 13.5[/tex]
Hence, the value of 5x is 13.5
(c) Equivalent expression of 12x - 8x + 3
The expression is given as: 12x - 8x + 3
So, we have:
12x - 8x + 3 = 4x + 3
Hence, the equivalent expression of 12x - 8x + 3 is 4x + 3
(d) Equivalent expression of 3(x + 3y + 2x - y)
The expression is given as: 3(x + 3y + 2x - y)
So, we have:
3(x + 3y + 2x - y) = 3(3x + 2y)
Also, we have:
3(x + 3y + 2x - y) = 9x + 6y
Hence, the equivalent expressions are 3(3x + 2y) and 9x + 6y
(e) The value of 1/2x^3 + 5.2y when x = 2 and y = 3
We have: 1/2x^3 + 5.2y
So, the expression becomes
[tex]1/2x^3 + 5.2y = 1/2 * 2^3 + 5.2 * 3[/tex]
[tex]1/2x^3 + 5.2y = 19.6[/tex]
Hence, the value of 1/2x^3 + 5.2y is 19.6
(f) The commutative property of addition of 8 + 3m
The commutative property of addition of 8 + 3m is 3m + 8
(g) The algebraic expression for "5 times the sum of 2 and y?
The algebraic expression is 5(2 + y)
(h) The error of the student
The student's first error is in step 2: 4(2) + 4x(2)
(i) The statement that describes the expression 3 + y ÷ 2
The correct statement is (d) the sum of 3 and the quotient of y and 2
(j) The value of an expression
We have:
22 + 62 ÷ 22
Evaluate
22 + 62 ÷ 22 = 24.8
Hence, the value of the expression 22 + 62 ÷ 22 is 24.8
(k) Complete the blanks
We have: 34 + 2 ⋅ 5 = ____
Represent the blank with x
34 + 2 ⋅ 5 = x
Evaluate
44 = x
Hence, the blank is 44
(l) The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2)?
The algebraic property is used to rewrite 2(4y + 1) as (4y + 1)(2) is the (c) commutative property of multiplication
(m) The statement that best describes the expression 4y ÷ 9
The statement is: (c) 4 times y divided by 9
(n) The expression is equal to 5p
The expression is equal to 5p is (a) p + p + p + p + p
(o) The coefficient of y in the expression 2 ⋅ 4 + 3y
The coefficient of y in the expression is 3
Read more about equivalent expressions at:
https://brainly.com/question/2972832
solutions to this quadratic
F(x) = x^2 + x - 2
Answer:
x = -2 & x = 1
Step-by-step explanation:
Katie loves to read! In the last few months she has read 3 graphic novels, 2 mysteries, 4 sci-fi novels, and 21 comic books. What is the ratio of sci-fi novels to comic books?
Answer:
4:21
Step-by-step explanation:
since she read 4 sci-fi novels and 21 comic books, you put 4:21.
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use? Laws of Sines or Laws of Cosines? and why?
Answer:
We would use the Law of Cosines to solve the question.
m∠ W = 121.8°
Step-by-step explanation:
In triangle UVW, u = 20, v = 47. and w = 60. To find m∠ W,
which law would you use?
The Law we would use to find find m∠W is the Law of cosines, this is because in the question above we are given 3 known sides of a triangle and we are asked to find an unknown angle.
Law of cosines when we are to find an unknown angle =
m∠ W = arc cos [u² + v² - w²/ 2uv]
m∠ W = arccos [ 20² + 47² - 60²/ 2 × 20 × 47]
m∠ W = 121.81159°
Approximately = 121.8°
(-7, y) and (-2,-4); m = -6/5 find the slope
Answer:
y = 2
Step-by-step explanation:
Use the slope formula so y2-y1/x2-x1 = -6/5
so -4 - y / -2 + 7 = -6/5 so y has to be 2 so that -4-2=-6
Seventy-two is what percent of 45?
Answer: 160%
Step-by-step explanation:
72/45 = 1.6 x 100 = 160%
How many times larger is 3.172 x 106 than 2.44 x 105?
Answer: 2 times larger.
Step-by-step explanation:
Elena has 6 yards of ribbon. She takes 1/4 yard of a ribbon to make a bow. How many bows can she make with the ribbon she has?
Answer:
she can make 4 bows
Step-by-step explanation: