Answer:
1679616
Step-by-step explanation:
Answer:
1679616
Step-by-step explanation:
The sides of a triangle are (x + 3) cm, (2x - 1) cm, and (3x + 4) cm. What is the perimeter of the triangle? *
Answer:
Step-by-step explanation:
Perimeter is all sides added together...
X+3+2x-1+3x+4
Combine like terms
X+2x+3x.. 6x
3-1+4.. 2+4.. 6
Answer:
6x+6
Solution for: 2 [32-(4-1)³ ]
Answer:
5
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
2[32-3^3]
2[32-27]
2×5
10
Solve the system of linear equations by elimination. 12x - 7y = -2 8x + 11y = 30
The solutions for the the system of equations are given as x = 1 and y = 2 respectively.
What is a system of linear equations?A system of linear equations is a group of equations having same number of variables and degree.
For the n number of variables n number of equations are required.
On the basis of number of solutions a system of equations can be classified as consistent and inconsistent.
The given system of linear equations are as follows,
12x - 7y = -2 (1)
8x + 11y = 30 (2)
In order to solve by elimination, multiply equation (1) by 2 and (2) by 3 and then subtract to obtain,
2(12x - 7y) - 3(8x + 11y) = 2 × -2 - 3 × 30
=> -14y - 33y = -94
=> -47y = -94
=> y = 2
Substitute y = 2 in equation (1) to get,
12x - 7 × 2 = -2
=> 12x = -2 + 14
=> x = 12/12 = 1
Hence, the given system of linear equations is solved by elimination to give x = 1 and y = 2 respectively.
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Find the solution set.
r^2 = 16
Separate the two values with a comma.
The solution set is r = (+4, -4) .
Jae is constructing an open box from a piece of cardboard that is 9 in. wide and 12 in. long. He cuts squares of equal size from each comer of
the cardboard, as shown in the picture, and then folds up the sides of the box. Write and simplify a polynomial function V for the volume of the box in terms of x
Answer:
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
Step-by-step explanation:
We present a representation of the specifications of the open box in a image attached below. The volume of the open box ([tex]V[/tex]), measured in cubic inches, is represented by this expression:
[tex]V = w\cdot h \cdot l[/tex]
Where:
[tex]w[/tex] - Width, measured in inches.
[tex]h[/tex] - Height, measured in inches.
[tex]l[/tex] - Length, measured in inches.
Polynomial functions in standard form are represented by the following form:
[tex]y = \Sigma_{i=0}^{n} c_{i}\cdot x^{i}[/tex]
Where:
[tex]n[/tex] - Order of the polynomial, dimensionless.
[tex]c_{i}[/tex] - i-th Coefficient, dimensionless.
[tex]x[/tex] - Indepedent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
If we get from figure that [tex]w = 12 - 2\cdot x[/tex], [tex]h = x[/tex] and [tex]l = 9 - 2\cdot x[/tex], then:
[tex]V = (12-2\cdot x) \cdot x \cdot (9-2\cdot x)[/tex]
[tex]V = (12\cdot x -2\cdot x^{2})\cdot (9-2\cdot x)[/tex]
[tex]V = 108\cdot x-18\cdot x^{2}-24\cdot x^{2}+4\cdot x^{3}[/tex]
[tex]V = 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex]
The polynomial function for the volume of the box ([tex]V[/tex]) in terms of [tex]x[/tex] is
[tex]V(x)= 108\cdot x -42\cdot x^{2}+4\cdot x^{3}[/tex].
The volume of a box is the amount of space the box can occupy.
The polynomial function is: [tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
The dimension of the cardboard is given as:
[tex]\mathbf{Length = 12}[/tex]
[tex]\mathbf{Width = 9}[/tex]
Assume the size removed from the box is x
The dimension of the box becomes
[tex]\mathbf{Length = 12 -2x}[/tex]
[tex]\mathbf{Width = 9 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, the volume (V) of the box is:
[tex]\mathbf{V = Length \times Width \times Height}[/tex]
Substitute known values
[tex]\mathbf{V = (12 -2x) \times (9 - 2x) \times x}[/tex]
Open brackets
[tex]\mathbf{V = (12 -2x) \times (9x - 2x^2)}[/tex]
Open brackets
[tex]\mathbf{V = 108x -24x^2 - 18x^2 + 4x^3}[/tex]
[tex]\mathbf{V = 108x -42x^2 + 4x^3}[/tex]
Rewrite as:
[tex]\mathbf{V = 4x^3 -42x^2 + 108x }[/tex]
Express as a function
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
Hence, the polynomial function is:
[tex]\mathbf{V(x) = 4x^3 -42x^2 + 108x }[/tex]
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Out of 100 students of a class, 30%use smart mobile phones. How many
students use the sm art phones?
Answer:
u can calculate yourself
Answer:
30
Step-by-step explanation:
This is the answer hope it helped
Solve for x:
6x + 9 = 4x + 25
Answer:
x = 8
Step-by-step explanation:
Solve for x:
6 x + 9 = 4 x + 25
Subtract 4 x from both sides:
(6 x - 4 x) + 9 = (4 x - 4 x) + 25
6 x - 4 x = 2 x:
2 x + 9 = (4 x - 4 x) + 25
4 x - 4 x = 0:
2 x + 9 = 25
Subtract 9 from both sides:
2 x + (9 - 9) = 25 - 9
9 - 9 = 0:
2 x = 25 - 9
25 - 9 = 16:
2 x = 16
Divide both sides of 2 x = 16 by 2:
(2 x)/2 = 16/2
2/2 = 1:
x = 16/2
The gcd of 16 and 2 is 2, so 16/2 = (2×8)/(2×1) = 2/2×8 = 8:
Answer: x = 8
Find the product of (3.7 × 104) and 2.
A. 7.4 x 10^3
B. 0.74 x 10^4
C. 7,4 x 10^4
D. 74 x 10^4
Answer:
A. The answer is 7.4x10^3
Answer:
A. The answer is 7.4x10^3
Step-by-step explanation:
Look at the number in the place-value table. The value of the 8 in the hundreds
place is how many times the value of the 8 in the tens place?
Hundred
Thousands
Ten
Thousands
Thousands
Hundreds
Tens
Ones
6
5
S
S
0
(3) 100
>) 10
») 80
0800
Oh
Answer:
10 times the value
Step-by-step explanation:
The value of 8 in the hundreds place (800) is 10 times the value of 8 in the tens place (80).
I figured this out by dividing 800 by 80 = 10.
Determine the domain of the relation.
{(3.0), (2,8), (17,10)}
Answer:
work is pictured and shown
What is 47.2% as a fraction? (can someone show the work)
Answer: 59/125
Step-by-step explanation:
What is 47.2% as a fraction or mixed number in simplest form? 47.2% is 47.2/100 which is 472/1000 which is 59/125. 47.2% = 0.472 = 472/1000 = 59/125.
In a triangle the longest side is 3 inches longer than twice the shortest side. The third side is 2 inches less than twice the shortest side. If the perimeter of the triangle is 61 inches, which equation should be used to find the length of the shortest side, s?
Answer:
your face
Step-by-step explanation:
:)
Let's let A, B, C represent the sides of the triangle from shortest to longest, then:
A = ?
B = A + 2
C = A + 3
To find the perimeter we add all the sides p = A + B + C, and based on the problem
p = A + B + C
26 = A + (A + 2) + (A+3)
26 = 3A + 5
21 = 3A
7 = A
Now we can use the fact that A = 7 in, which is the shortest side, to find all three sides:
A = 7
B = 7 + 2 = 9
C = 7 + 3 = 10
The lengths of the sides are 7 in, 9 in, and 10 in.
May I get brainliest please? :)
PLEASE I NEED THIS IN AN HOUR OR SO (15 point)
A line goes through the points (4, 6) and (–2, 3). What is the slope of the line perpendicular to that line?
Write the equation of the line through the points (–6, 3) and (9, 8).
I need help with this one please.
Answer:
m=3
Step-by-step explanation:
slope=m=y2-y1/x2-x1
(29,97),(18,64) for given points
m=64-97/18-29 ⇒ m=-33/-11
m=3
b): 97/29 ,64/18,-14/-8, 52/14,-71/-27
No, it does not matters which points you take to calculate the slope because at each point m=3for points (18,64) and (-8,-14)m=-14-64/-8-18
m=-78/-26
m=3for points:(-8,-14) and (14,52)m=52+14/14+8
m=66/22
m=3for points (14,52) and (-27,-71)m= 3write the equation of a line at a point (-8,-14)the equation of a line: y=mx+by=-14 , x=-8 , m=3, find b-14=3(-8)+b-14=-24+bb=-14+24b=10the equation : y=3x+10Name this angle in three different ways
Angle LMN
Angle NML
Angle M
These are the only ways to name this angle
Answer:
Angle NML, LMN, and the angle created by rays MN and ML intersecting at point M.
Step-by-step explanation:
The first two ways are just the points in order. The third can be written in multiple ways but I believe this one is quite explanatory.
What is the sum of the arithmetic sequence 3, 9, 15 …, if there are 34 terms?
Lets subtract 3 from each term we get 0,6...
Now we have muplitles of 6
6*0
6*1
Now we can find last number whcich is 6*33=198
now use formula to find sum
Jose has $178.74 in his checking account. He wrote checks for $36.52, $18.92, and $25.93. He also deposited $300.00, $100.00, and $205.16. What is the final balance in Bob's checking account?V
Answer:
$702.53
Step-by-step explanation:
Start with Jose's initial balance.
[tex]178.74[/tex]
He wrote checks, so we have to subtract the total amount the checks were worth. Let's first add the three amounts.
[tex]36.52+18.92+25.93[/tex]
Solve.
[tex]81.37[/tex]
Subtract the total amount of the checks from Jose's initial balance.
[tex]178.74-81.37[/tex]
Solve.
[tex]97.37[/tex]
The amount above is now what is in Jose's checking account.
But, he also deposited money, meaning he put money in his checking account. Now, let's add the three amounts he deposited.
[tex]300.00+100.00+205.16[/tex]
Solve.
[tex]605.16[/tex]
The amount above is what Jose adds to his checking out.
Add the total value of the deposited money and his new balance.
[tex]605.16+97.37[/tex]
Solve.
[tex]605.16+97.37=702.53[/tex]
20. SAILING On a sailing trip, each passenger needs a
life jacket, a lunch, and a bottle of water. Write an
expression in simplest form that represents the
weight carried by r passengers on the sailing trip.
Interpret the expression.
Which sets of ordered pairs show equivalent ratios use the grid to help you check all that apply
Answer:
(2,2), (4,4), (6,6)
Step-by-step explanation:
2×1= 2
2×2 = 4
2×3 = 6
Answer:
2nd and 4th options are correct choices.
Step-by-step explanation:
From the incomplete picture given below, we have:
2nd = (2,2), (4,4), (6,6)
4th = (4,1), (8,2), (12,3)
Enjoy!
Wyatt mows lawns to earn money. He charges by the area
of the yard. A new customer has a yard in the shape of a
triangle with a base of 200 feet and a height of 70 feet.
What is the area of the yard?
4,667 ft?
540 ft?
7,000 ft
270 ft?
The area of the triangular yard is 7000 ft².
What is the area of a triangle?The entire area enclosed by three sides of a triangle is the area of it.
Given,
The base of the triangle is 200 feet and the height of the triangle is 70 feet.
Therefore, the area of the triangle
= (1/2) × base of the triangle × height of the triangle = (1/2) × 200 × 70 ft² = 7000 ft².
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-3.09 +x= -0.7 What is the answer?
Answer:
2.39
Step-by-step explanation:
-3.09+X=-0.7
X=-0.7+3.09
X=2.39
The record high temperature in Alabama is 112°F and the record low temperature is −27°F. What is the difference between the highest and lowest temperature?
The difference between the highest and lowest temperature is 85°F.
Answer: 139F
Step-by-step explanation: You take 112F, and add negative which is -27F and you get the difference.
A class has 50 students. 20 students are playing basketball and rest are playing volleyball. The percent of the class playing basketball is?
a) 20 percent
b) 40 percent
c) 60 percent
Answer:
60 percent
Step-by-step explanation:
so 50 is half of 100,right? so that means you can just multiply everything by 2 to make it easier. so then there are 100 students and 40 play basket ball. so that means 40 percent play basketball and that only leaves 60 remaining :)
4 solve the equation below 5 =g/4
Answer:
g = 20
Step-by-step explanation:
multiply both sides by 4 to get g = 20
Answer:
g=20
Step-by-step explanation:
multiply both sides by 4
3x - 6 = 2(x + 4). find the value
Which set of ordered pairs represents a function?
O {(-4,9), (-4,7), (1, -5), (7, -8)}
{(-5, -5), (-9,1), (8,-6), (-9,-4)}
{(-6, -6), (-2,-2), (7,-6),(-5,0)}
{(-7, -9), (-7, -7), (3,-7), (5,-5)}
Submit Answer
Answer: {(-6, -6), (-2,-2), (7,-6),(-5,0)}
Step-by-step explanation:
To find the ordered pairs that represent a function, we want to find one that doesn't have multiple outputs for one input.
{(-6, -6), (-2,-2), (7,-6),(-5,0)} is the correct answer because all the x are different, and have only one output.
median of 2.5, 2.3, 2.3, 1.8, 2.3, 1.5 please help its due today ;(
Answer:
I got 2.3
Step-by-step explanation:
line them up in order and count from the outside
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2.3}}}}}[/tex]
Step-by-step explanation:
[tex] \star{ \tt{ \: Given \: data}}[/tex] :
[tex] \sf{2.5 \: , \: 2.3 \: , \: 2.3 \: , \: 1.8 \: , \: 2.3 \: , \: 1.5}[/tex]
[tex] \star{ \sf{ \: Arranging \: the \: given \: data \: in \: ascending \: order}}[/tex] :
[tex] \sf{1.5 \: , \: 1.8 \: , \: 2.3 \: , \: 2.3 \: , \: 2.3 \: , \: 2.5}[/tex]
[tex] \star{ \sf{ \: n \: ( \: Total \: number \: of \: observation \: ) \: = \: 6}}[/tex]
Finding the position of median
[tex] \bold{ \boxed{ \sf{ \: Position \: of \: median = ( \frac{n + 1}{2} ) ^{th} item}}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median = ( \frac{6 + 1}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto{ \sf{position \: of \: median \: = \: ( \frac{7}{2} ) ^{th} item}}[/tex]
[tex] \longmapsto {\sf{position \: of \: median = {3.5}^{th} item}}[/tex]
[tex] \sf{ {3.5}^{th} }[/tex] item is the average of 3rd and 4th items.
[tex] \sf{∴Median = \frac{ {3}^{rd} item + {4}^{th} item}{2} }[/tex]
[tex] \longmapsto{ \sf{median = \frac{2.3 + 2.3}{2}}} [/tex]
[tex] \longmapsto{ \sf{median = \frac{4.6}{2} }}[/tex]
[tex] \longmapsto{ \sf{median = 2.3}}[/tex]
∴ Median = 2.3
-------------------------------------------------------------
[tex] \star \: \underline{ \tt{Remember ! }}[/tex]
▪️If n is odd , the median is the value of the [tex] \sf{( \frac{n + 1}{2} ) ^{th} }[/tex] observation.
▪️If n is even, the median is the average of [tex] \sf{( \frac{n}{2} ) ^{th}} [/tex] and [tex] \sf{( \frac{n}{2} + 1) ^{th} }[/tex] observation.
Hope I helped!
Best regards! :D
~TheAnimeGirl
All functions are relations. True False
Are same side exterior angles congruent
Can someone please help me?
Answer:
no
Step-by-step explanation:
u r a n00b hahahahahahahahahahahahahaahahhaahahahahahahahahahahahahahahahahahahhahahau suk balz hhahahahahahahahahahahahahahaha