3x+4y=12 is Linear.
y-1/2x+6 is Linear.
y=4x^2 is nonlinear.
y+2=|4| is linear.
y+6=4x is linear.
In order to tell whether an equation is linear or not, you have to first see if there is any variable^2 or more than ^1. If that is the case, it isn't linear. For example the equation x^2=4 or y^5=100 isn't linear. It also isn't linear if the equation is divided by X or Y.For example the equation 1/x=1 isn't linear or 1/y^2=5 isn't linear.
A question is also linear if you can write it in the form y=mx+b , 'm' meaning the slope of the equation and 'b' meaning the y-intercept of the equation.
What is the surface area of this cone?
Use a ã 3.14 and round your answer to the nearest hundredth.
6 m
4 m
square meters
Answer:
52.28 sq m
Step-by-step explanation:
SA=pi r(r+ the square root of h-squared and r-squared)
SA=3.14x2(2+the square root of 36 and 4)
SA=3.14x2(8.32)
SA=52.28 sq m
The Surface area of the given cone is 50.24 meter square
What is Cone?A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the or vertex.
What is Surface area?The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Given,
Slant height l = 6 meter
Radius of the base r = [tex]\frac{4}{2} =2[/tex] meter
Surface area of the Cone = [tex]\pi rl+\pi r^{2}[/tex]
=[tex]\pi (2)(6)+\pi (2^{2} )[/tex]
=50.24 meter square
Hence, the surface area of the given cone is 50.24 meter square
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The surface area of a rectangular prism that has height of 4 inches, width of 9 inches and length of 3 inches = ____________ in2.
Answer:
150 in^2
Step-by-step explanation:
The ends have the smallest surface area. The total surface area of the ends is thus 2(3 in)(4 in) = 24 in^2
The top and bottom together have the total surface area 2(9 in)(3 in) = 54 in^2.
Finally, the front and back surface areas together are 2(9 in)(4 in) = 72 in^2
Thus, the total surface area is (24 + 54 + 72) in^2 = 150 in^2
Surface area of a rectangular prism is equal to [tex]\boldsymbol{150}[/tex] square inches.
Surface area of a rectangular prismHeight of a rectangular prism [tex]=4[/tex] inches
Width of a rectangular prism [tex]=9[/tex] inches
Length of a rectangular prism [tex]=3[/tex] inches
Surface area of a rectangular prism [tex]=\boldsymbol{2(lw+wh+hl)}[/tex] where [tex]l,w,h[/tex] denote length, width and height of a rectangular prism
Therefore,
Surface area of a rectangular prism [tex]=2\left [ 4(9)+9(3)+3(4)\right ][/tex]
[tex]=2\left ( 36+27+12 \right )\\=150[/tex]
So, surface area is equal to [tex]\boldsymbol{150}[/tex] square inches.
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Tanya is considering obtaining a loan. Which benefit will Tanya receive if she makes a down payment when she obtains the loan?
A. higher finance charge
B. higher interest rate
C. higher principal amount
D.lower penalties on late payments
O E.
lower principal amount
Answer:
E. lower principal amount
Step-by-step explanation:
We can use an example to show how this works:
You want to buy a car and it costs $20,000. The loan lasts 5 years (60 monthly payments) and the interest rate is 10%.
If you do not make any down payment, your initial principal will be $20,000, and your monthly payment will be $424.94, your total payments = $25,496.45 and the total interests = $5,496.45.
Instead, if you make a 20% down payment, your initial principal = $16,000, and your monthly payment will be $339.95, your total payments = $20,397.16 and the total interests = $4,397.16.
Answer:
E. lower principal amount
IV
What is the range of the function on the graph?
5
4+
3+
all real numbers
O all real numbers greater than or equal to 0
all real numbers greater than or equal to 1
all real numbers greater than or equal to 2
2+
1 +
-5 4 -3 -2 -11
1 2 3 4 5 X
h
-27
-37
I
-4
-5
What is x - ( -8) = 1 and what is x - ( -13) = 17?
Answer:
x - ( -8) = 1; x = -7
x - ( -13) = 17; x =
Step-by-step explanation:
x - ( -8) = 1 = x + 8 = 1
x = -7
x - ( -13) = 17 = x + 13 = 17
x = 4
Answer:
see below
Step-by-step explanation:
x - ( -8) = 1
Subtracting a negative is like adding
x+8 =1
Subtract 8 from each side
x+8-8= 1-8
x=-7
x - ( -13) = 17
Subtracting a negative is like adding
x+13 =17
Subtract 13 from each side
x+13-13= 17-13
x=4
Bert’s cab company charges $1.00 plus an additional $3.00 per mile for a ride. Madeline’s cab company charges $3.00 plus an additional $2.00 per mile for a ride. Write a system of linear equations that shows the cost in dollars, y, for a cab ride of x miles for each cab drive At what distance, in miles, will the cost be the same for both companies? Show your work
Based on the graph below, what is a reasonable estimate for the y value when x is -4?
Answer: i think the answer is 1.5
Step-by-step explanation:
Mark scored an 89 on his first
test, an 85 on his second test, a
95 on his third test, and an 83
on his fourth test. If Mark wants
a tens score average of 90, what
must hc score on his fifth exam?
Answer:
98
Step-by-step explanation:
89+85+95+83= 352,
90x5= 450,
450-352= 98
The score on his fifth exam is 98.
To find the score on his fifth exam.
What is average?Number that is calculated by adding quantities together and dividing the total by the number of quantities. Mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set.
Given that:
First test=89
Second test=85
Third test=95
Fourth test=83
Average = 90,
so total among up to fourth test=89+85+95+83= 352,
So, 90x5= 450,
Total score=450
Fifth test=450-352= 98
So, the score on his fifth exam is 98.
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Can someone please help me with this question
Answer:
54
Step-by-step explanation:
compare -5/6 _ -3/7 choose from 1) > 2)
Answer
1)<2) please put 5 stars
Step-by-step explanation
First you need to find the GCF of the donominators which are 6 and 7. The GCF is 42.
6*x=42. x=7 5*7=35. -35/42 is the first fraction.
7*y=42 y=6 3*6=18. -18/42 is the second fraction.
-35/42 would be bigger but since it is negative, it is smaller.
Answer:
1)<2)
Step-by-step explanation:
The tee for the sixth hole on a golf course is 305 yards from the tee. On that hole, Marsha hooked her ball to the left, as sketched below. Find the distance between Marsha’s ball and the hole to the nearest tenth of a yard.
Answer:
The answer is "101.37 yd"
Step-by-step explanation:
In the given question an attachment file is missing. so, we attached the file and calculates its value:
Use formula:
[tex]c^2 = a^2 + b^2 - 2\times a \times b\times \cos C[/tex]
In the above-given equation we assume c is the third side:
[tex]c^2 = 305^2 + 255^2 - 2*305*255*cos17\\c^2= 93,025+65,025-155,550(0.95)\\c^2= 158,050-147,772.5\\c^2= 10,277.5[/tex]
c = 101.37 yd
At Paul Bunyan’s tree farm they sell Fraser firs and blue spruce trees. They plant saplings of these two kinds of trees that are 8 inches in 5 inches tall, respectively. The Fraser firs grow at a constant rate of 12 inches per year, and a blue spruce trees grow at a constant rate of 14 inches per year. After how many years will these trees be at the same height? Express your answer as a common fraction.
Answer: 3/2
Step-by-step explanation:
Hi, to answer this question we have to write the next expressions::
Height 1= 8 +12 y
Height 2 =5 +14y
Where y = number of years
Since both heights must be the same
Height 1 = height 2
8+12y = 5+14y
solving for y:
8-5 =14y-12y
3 = 2y
3/2 =y
y = 3/2 years
Feel free to ask for more if needed or if you did not understand something.
8 + 12y = 5 + 14y
12y + 8 = 14y + 5
12y + 8 - 8 = 14y + 5 - 8
12y = 14y - 3
12y - 14y = 14y - 3 - 14y
-2y = -3
(-2y)/-2 = -3/-2
y = 3/2
PLEASE HURRY!⚠️
Which is a perfect square?
Answer:
6²
Step-by-step explanation:
A number squared is a perfect square, thus
6² ← is a perfect square
Question 4 of 10
What do you know to be true about the values of p and q?
po
q"
60"
50"
30"
80°
A. p= 9
B. p< 9
C. p> 9
D. Can't be determined
Answer:
p > q
Step-by-step explanation:
We khow that the sum of a triangle's angles is 180°
■■■■■■■■■■■■■■■■■■■■■■■■■■
Let's start with the triangle containing p
● p+60+50 = 180
● p+110 = 180
● p = 180-110
● p= 90°
So p is a right angle
□□□□□□□□□□□□□□□□□□
The second triangle
● q+ 80+30 = 180
● q+ 110 = 180
● q = 180-110
● q = 70°
Then q is also a right triangle
■■■■■■■■■■■■■■■■■■■■■■■■■
We can deduce that p > q
Anna baked
3
33 batches of cookies with
c
cc cookies in each batch. She then ate
8
88 cookies!
How many cookies does Anna have left?
Answer:
3c-8
Step-by-step explanation:
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
The dot plots below show the scores for a group of students for two rounds of a quiz:
Round 1
2
4
5
3
Score
Round 2
: :
..
+
1
2
4
5
3
Score
Which of the following inferences can be made using the dot plots?
O The range of round 2 is greater than the round 1 range,
O Round 2 scores are higher than round 1 scores
O Round 1 scores are lower than round 2 scores
There is no overlap between the data.
A rectangle is 1 inch longer than it is wide. Its diagonal is 5 inches. What's the width of the rectangle?
Answer:
The width is 4 inches
Step-by-step explanation:
Represent the length and width by L and W respectively. Then L = W + 1.
According to the Pythagorean Theorem, the diagonal length is
D = sqrt( [W]^2 + [W + 1}^2 ) = 5, or [W]^2 + [W + 1}^2 = 25.
Then W^2 + W^2 + 2W + 1 = 25, and 2W^2 + 2W - 24 = 0.
Reducing, we get W^2 + W - 12 = 0, or (W + 4)(W - 4) = 0. Then W - 4 = 0, and W (the width) is 4. Then L = 5.
The width is 4 inches.
Help me please need help gonna fail sos
Answer:
235
Step-by-step explanation:
We have ED is 95.
We can find EC by 180-40 = 140
So DEC = 95+140=235
Answer:
236
Step-by-step explanation:
What is the simplified expression for 3 y squared minus 6 y z minus 7 + 4 y squared minus 4 y z + 2 minus y squared z? y squared minus y squared z minus 10 y z minus 5 y squared minus y squared z minus 5 y z minus 5 7 y squared minus y squared z minus 10 y z minus 5 7 y squared minus y squared z minus 2 y z minus 5
Answer:
Step-by-step explanation:
Are you asking to simplify: [tex]3y^2 - 6zy - (7+4y)^2- (4yz+2) -y^2 * z[/tex] ?
and [tex]y^2 - y^2 z - 10yz - 5y^2-y^2z - 5yz - 57y^2-y^2z-10yz-57y^2-y^z-2yz-5[/tex]?
Answer:
c
Step-by-step explanation:
which sentence is represented by this algebraic equation "X/2-3=15"
Answer:
A
Step-by-step explanation:
The correct answer is A.
"3 less than" represents -3
"half of x" represents x/2
"is 15" represents =15
Can someone please help me?
Answer:
1. 25,000+1000x
2. 19,000+1500x
3. 25000+1000x>19000+1500x
Step-by-step explanation:
For the 1st it is 25,000 because that is what he starts off with and there is an x behind 1000 because it depends on how many years he receives the bonus. For example, if he was there for 3 years the equation would look like 25000+1000(3).
For the 2nd one, it is the same concept as the first one.
For the third one, it says that Nicholas will make more money so the greater symbol has to be facing the equation that stands for his amount of money.
Hope this helps!
Help please Name the quadrant or axis where each point lies.
Answer:
x-axis.3rd Quadrant4th Quadrant.2nd QuadrantThe table shows equivalent ratios for converting from the United States dollar (USD) to the Canadian dollar (CAD). What is the Canadian dollar equivalent of 25 USD?
Conversion Chart
USD CAD
5 4.95
7 6.93
8 7.92
11 10.89
Answer:
C
Step-by-step explanation:
25*0.99 = 24.75
Answer:
C
Step-by-step explanation:
Im taking the test
hurry up plz!! Harry performed an experiment with a standard number cube. He rolled the cube and recorded the results in a frequency table. The frequency table is given below. Find the experimental probability of the cube landing on an even number.
Rate Problems:
3. Potomac Paddleboards rents paddleboards for $15 plus $4.50 per hour (no partial hours). How many hours
can you rent a paddleboard if you want to spend no more than $42?
Define variable:
Equation:
Solution:
how do i solve this?
Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4
x=
y=
thank you!
Answer: x= 3/2 and y= 1/2
Step-by-step explanation:
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x=6
x=6/4=3/2
Plug in x into any one of the given equations to find the value of y:
y=-x+2
y= - (3/2)+2
y= - (3/2)+4/2
y= 1/2
Hope this helps!
The solution to the system of equations will be x= 3/2 and y= 1/2.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given equations are y=−x+2 and y=3x−4 to calculate the values of x and y using the substitution method.
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x =6
x =6/4=3/2
Plug x into any one of the given equations to find the value of y:
y =-x+2
Solve for the value of y.
y = - (3/2)+2
y = - (3/2)+4/2
y = 1/2
Hence, the solution for the equation will be x= 3/2 and y= 1/2.
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A cylinder with a base diameter of x units has a volume
of x cubic units
Which statements about the cylinder are true? Select
two options
The radius of the cylinder is 2x units.
The area of the cylinder's base is wa? square units.
The area of the cylinder's base is not square units.
The height of the cylinder in 2x umijs
The height of the cylinder is 4x units.
Save and Exit
Next
Submit
C
Answer:
The height of the cylinder in 2x units
The area of the cylinder's base is not square units.
Step-by-step explanation:
how would you solve this problem?
Answer:
a) 6x²/2x³-4
b) [tex]2ln (2x^3-4)+ C[/tex]
Step-by-step explanation:
a) Given the ln(2x³-4). We will use the chain rule in differentiating the function
If y = ln(2x³-4);
u = 2x³-4; du/dx = 3(2)x³⁻¹
du/dx = 6x²
y = ln u; dy/du = 1/u
According to chain rule, dy/dx = dy/dy*du/dx
dy/dx = 1/u * 6x²
dy/dx = 1/2x³-4 * 6x²
dy/dx = 6x²/2x³-4
Hence, the derivative of the given function is 6x²/2x³-4
b) Given an integral function [tex]\int\limits {\frac{12x^2}{2x^3-4} } \, dx[/tex], the integral problem can be solved using integration by substitution method as shown below;
From the question, let y = 2x³-4... 1, dy/dx = 6x²
dx = dy/6x² ... 2
Substituting equation 1 and 2 into the question given;
[tex]\int\limits {\frac{12x^2}{y} } \,\frac{dy}{6x^2} \\\\= \int\limits {\frac{2dy}{y} } \\\\= 2 \int\limits {\frac{dy}{y} }\\\\= 2lny + C\\substituting\ y = 2x^3-4\ into\ the \ resulting\ function\\\\= 2ln (2x^3-4)+ C[/tex]
Help ASAP!! This one's is difficult for me to understand!! Help me please!
Answer:
Ok so im in 7thgrade so ima try to help answer is x= 8x9