The linear expression that is not equivalent to the other three is D) (-5x-1)+(6x + 7).
What is linear expression?A linear expression is an algebraic expression which is composed of constants, variables, and coefficients that are related by only addition and multiplication operations. It usually takes the form of ax + b, where 'a' and 'b' are constants and 'x' is a variable. Linear expressions can be used to describe various mathematical and physical phenomena, such as the slope of a line or the volume of a cylinder.
This linear expression is not equivalent to the other three because it does not have the same coefficient for the x terms and the constant terms. The other three expressions all have the same coefficients for the x terms and the constant terms, making them equivalent.
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Evaluate the expression. Write your answer in scientific notation.
1. 4.1x10^3) + (3.7x10^2)
2. (1.2x10^(3))*(4x10^(5))
A cylindrical tank contains 172.48 litres of water. If its
height is 0.7 m then find the radius of the base.
Answer:
Radius= 8.86 m
Step-by-step explanation:
Pie x r^2 x 0.7= 172.48
Pie x r^2= 246.4
r^2= 78.43
R= square root of 78.43
Radius= 8.86m
When you use substitution What are the steps used to find the solution to a system of linear equations?
In one of the equations, separate one of the two variables. In the other equation, replace the expression with the value of the isolated variable from Step 1. Consequently, a linear equation with just one variable ought to emerge.
What constitutes the substitution system's solution?The one y-value in the substitution method is replaced with the other. We'll give an example to illustrate this. Since y = y, we can replace y in the second equation with y from the first equation. The linear system's solution is (1, 6).
What are the three possible types of solutions for a linear equation?Numerous solutions, no solutions, and a singular solution.
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y-int coordinates of y=x^2-5x+6, please explain
The y intercepts of the quadratic equation y = x² - 5x + 6 is given by (0 , 6)
and the x intercepts are ( 3 , 0 ) and ( 2, 0 )
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
y = x² - 5x + 6 be equation (1)
On simplifying the equation , we get
y = x² - 2x - 3x + 6
Taking the common factors of the equation , we get
y = x ( x - 2 ) - 3 ( x - 2 )
On factorizing the equation , we get
y = ( x - 3 ) ( x - 2 )
To find the y intercepts , substitute the value of x = 0 , we get
y = ( 0 - 3 ) ( 0 - 2 )
y = ( -3 ) ( -2 )
So , y = 6
Hence , the y intercepts of the equation is ( 0 , 6 )
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Help i got some more math
x = 5
AB = 6
BC = 13
What is a line?A line can be defined as a straight set of points that extend in opposite directions, It has no ends in both directions(infinite). It has no thickness. It is one-dimensional.
Given,
AB = 2x - 4
BC = 3x - 2
AC = 19
By the figure
AB + BC = AC
2x - 4 + 3x - 2 = 19
5x - 6 = 19
5x = 25
x = 5
AB = 2 × 5 - 4 = 10 - 4 = 6
BC = 3 × 5 - 2 = 15 - 2 = 13
Hence the value of x, AB and BC is 5, 6, 13 respectively.
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2. A Grade 12 student is taking Biology, English, Math, and Physics in her first term. If a student timetable has room for five courses (meaning the student has a spare), how many ways can she schedule her courses
The schedule of her course in 120 ways.
How to calculate how many ways can she schedule her courses?A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression. Operations include addition, subtraction, multiplication, and division.
A mathematical expression is the collection of mathematical symbols that results from the proper combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.
The three different types of algebraic expressions are monomial, binomial, and polynomial.
According to the question there are five spaces for different subjects which are arranged in different order so the number of ways are
2(5,4)
= 5 * 4 * 3 * 2
=120 ways
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how many times as large as 4^4 is 4^7
Answer:
Step-by-step explanation:
Note that 4^7 = 4^4*4^3.
Compare 4^4 and 4^4 * 4^3. The last factor is 64. So 4^7 is 64 times larger than 4^4.
4⁷ is 64 times larger than 4⁴.
What is the power?
The power of a number is the multiplication with the same number as many times as the power.
Given,
Therefore, 4⁷/4⁴ = 4⁷⁻⁴ = 4³ = 64.
Hence, 4⁷ is 64 times larger than 4⁴.
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ASAP
-JUST ANSWER- PLSSSSS
Answer:
D 100 revolution is your answer
Find the area of a circle with diameter 12 cm.
Use the value 3.14 for it, and do not round your answer.
Be sure to include the correct unit in your answer.
PLZZ HELP I WILL MARK BRAINLIEST!!
Answer:
113.04 cm.
Step-by-step explanation:
Step 1: Formula/explain
To find the area of a circle, multiply the radius by itself twice, then multiply the product pi.
[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve
According to the word problem, the circle has a diameter of 12. This means it has a radius of 6.
Now, we plug the numbers into formula.
[tex]\pi 6^2 (3.14*6*6)=113.04[/tex]
Step 3: Conclude
Therefore, the area of this circle is 113.04 cm.
Solve 84=3u^2, where u is a real number.Round your answer to the nearest hundredth.
3u^2-84 = 0 then u=5.29 is the nearest hundredth
What are real numbers?The union of both rational and irrational numbers is known as a real number. They are represented by the letter "R" and can be either positive or negative.
This category includes all natural integers, decimals, and fractions.
In the number system, real numbers are only the fusion of rational and irrational numbers.
These numbers can generally be used for all arithmetic operations and can also be expressed on a number line.
Imaginary numbers, which are often known as unreal numbers since they cannot be stated on a number line, are frequently used to symbolize complex numbers. Examples of actual numbers include 23, -12, 6.99, 5/2, and so forth.
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What is negation example?
Let's say we have an expression P^A then the negation of P^A will be not( P^A ). This is an example of negation.
As the name suggests negation means the negative of a term or expression and it comes under the branch of mathematical logical reasoning.
When not word is added in front of an expression it becomes the opposite , this is how we negate something. A statement is only admissible if it is always true or always false.
It is sometimes required in mathematics to find the inverse of a particular mathematical statement, this is when negation is used. Negation thus, refers to the process of determining the inverse of a given assertion.
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PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Karsik borrowed $8,500 from a bank. During a period of five years, he paid a total of $2,125 in interest. What was the simple annual interest rate that the bank charged Karsik for his loan?
0.05%
0.5%
5%
7.7%
Answer:
5%
Step-by-step explanation:
2,125 interest/5 years=425 interest/year
425/8500=.05 or 5%
Answer:
the real answer is 4.25
Step-by-step explanation:
hope this helps
by the way to calculate the interest you have to divide the total interest by how many days or years then put in percent form example 2.125 divided by 5 wich equals 4.25
Find the surface area of the prism
Answer:
330
Step-by-step explanation:
The prism is a triangular prism
9 * (12 + 5 + 13) + (2 * 30)= 330
30 being the base area
Answer:
330
Step-by-step explanation:
We can break each surface area into it pieces.
For the squares:
9x13=117
9x5=45
9x12=108
For the triangles:
12x5÷2=30
12x5÷2=30
Add all of those together to get the total square area, which is
330
The nine points of this grid are equally spaced horizontally and vertically. The distance between two neighboring points is 1 unit. What is the area, in square units, of the region where the two triangles overlap
The area, in square units, of the region where the two triangles overlap is found as 1 square units.
What is described as the coordinates?A point's position with regard to a specific reference frame is indicated by its coordinates, which can be either linear or angular values. X and Y are frequently used to denote a point's coordinates in a two-dimensional plane.We can determine the equation for each line with in diagram using its coordinates.
We can determine the coordinates for each point. (1/4,3/4) is one of the intersections.
d² = 2² + 2² = 8
A₁ = (1/3d + 1/6d )/2 * 1/4d
A₁ = 1/4d * 1/4d
A₁ = 1/ 16 d²
Now,
A = 2A₁
A = 2.(1/16)d²
A = 1/8d²
A = 1/8 *8
A = 1
Thus, the area, in square units, of the region where the two triangles overlap is found as 1 square units.
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Answer:
1 square unit
Step-by-step explanation:
I WILL GIVE BRAILIEST PLEASE HELP
Answer:
Step-by-step explanation:
6. 8.50 x 1.06=9.01 cost of book plus tax
10-9.01=.99 change Henry will receive back
7. $12 x 1.085=13.02 total costs of ticket
5. 216/1.08=$200. $216-200=$16 sales tax paid
3. 85 x 1.08=$91.80
4. 687.50 x 1.06=728.75
if b is between a and c then ab+bc=ac q is betweenn r and s conclusion
Please help Polynomial
The degree of the given polynomial is 4.
What is the polynomial?A polynomial is a type of algebraic expression in which the exponents of all variables should be a whole number. The exponents of the variables in any polynomial have to be a non-negative integer. A polynomial comprises constants and variables, but we cannot perform division operations by a variable in polynomials.
The given polynomial is y=3x²-7x⁴+5-9x.
a) The polynomial in standard form is -7x⁴+3x²-9x+5.
b) The degree of the polynomial is 4.
c) The number of terms in the polynomial are 4.
d) Use the degree and the leading coefficient to determine the behavior.
Falls to the left and falls to the right
e) Use the derivative to find the maximum and minimum.
(−0.78859507, 11.25584002) is a local maxima
f) Here the y-intercept is (0, 5)
g) The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x. x≈−1.33755842,0.5797309.
h) Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.
Domain: (−∞,∞),{x|x∈R}
i) Range: (−∞,11.25584002],{y|y≤11.25584002}
Therefore, the degree of the given polynomial is 4.
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2x+4=16
Can someone please help ?
Answer:
x = 3
Step-by-step explanation:
2x + 4 = 16
2x = 12
x = 3
PLEASE HELP I AM BEGGIN YOU EXTRA POINTS AND BRAINLIEST PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The answer is 1.8%
Step-by-step explanation:
I used the A=PRT equation
Use the picture to name one tangent
im gonna go to summer shcool if I don't pass
please help with this shapes question
Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm
How to find the radius ?The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².
Given that the surface area of the sphere is 484 π cm then the radius can be found to be :
484 π = 4 πr²
r ² = 484 π / 4 π
r ² = 121
The value of the radius would then be:
r ² = 121
r = √ 121
r = 11 cm
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The cost of 3 cheese sandwiches and 2 bottles of water is £7. 80. The cost of 5 cheese sandwiches and 4 bottles of water is £14. 20. What is the cost of: (a) one cheese sandwich? (b) one bottle of water?
One cheese sandwich costs $1.4 and one bottle of water costs $1.8.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Let x be the cost of cheese sandwiches and y be the cost of one bottle of water.
3x+2y=7.8
5x+4y=14.2
(3x+2y=7.8)*2
6x+4y=15.6
5x+4y=14.2
x=$1.4
y=$1.8
The cost of one cheese sandwich is $1.4 and that of one bottle of water is $1.8.
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Pls help
(3 x 8 x 5)⁷
To evaluate (3 x 8 x 5)⁷, you need to first multiply 3, 8, and 5 together to get the base, then raise that result to the seventh power.
What does a math exponent mean?
The number of times a number has been multiplied by itself is referred to as an exponent. For instance, the expression 2 to the third (written as 23) signifies 2 x 2 x 2 = 8. 23 and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1.
So,
(3 x 8 x 5)⁷ = (120)⁷ = 120 x 120 x 120 x 120 x 120 x 120 x 120
= (1.2 x 10^2)^7 = 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2 x 1.2 x 10^2
=1.2^7 x 10^14 = 1.2^7 x 10^14
=4096 x 10^14
=4.096 x 10^17
Therefore (3 x 8 x 5)⁷ = 4.096 x 10^17
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A pattern follows the rule "Starting with three, every consecutive line has 2 less than twice the previous line. "
1. How many marbles must be in the fifth line?
Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
Define the unitary method.The term unitary refers to a single or unique or variable unit. As a result, the purpose of this strategy is to construct values with regard to a single unit. For instance, if a car drives 44 kilometres on two litres of fuel, the unitary technique can be used to determine how many kilometers it will travel on one.
Here,
Every subsequent line, beginning with one, contains two less characters than the one before it.
This signifies that your starting line contains three marbles. The 3 marbles are multiplied by 2 to get 3x2=6, and the result is subtracted to get 6-2=4.
This implies that you will receive 4 marbles for the following line.
As a result, in order to determine the sixth line, you must first determine the fifth line by counting the number of marbles on the fourth line because your diagram does not include a fifth line.
(4) = ten marbles.
10×2=20
20-2=18
(5) line = (18)
18×2=36
36-2=34
Therefore , the solution to the given problem of unitary method comes out to be 34 marbles are therefore on the sixth line.
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HELP ME PLSSSSS LIKE RNNNN
WILL GIVE BRAINLIEST
Answer:
82/7
Step-by-step explanation:
To add these numbers you need to change them to have the same denominator.
7=49/7
4 5/7=(28+5)/7=33/7
49/7+33/7=(49+33)/7=82/7
Answer:11 5/7
Step-by-step explanation:
PLS HELP ASAP, given angle m ABD is a straight angle.
Answer:
measure of CBD is 125 degrees
Step-by-step explanation:
ABC + CBD is equal to 180 degrees
8x - 41 + 9x + 17 = 180
combine like terms
17x - 24 = 180
add 24 to both sides
17x = 204
divide both sides by 17
x = 12
then plug in to find CBD
9 (12) + 17
108 + 17 = 125 degrees
Answer:
angle CBD = 125°
Step-by-step explanation:
Because ABD is a straight angle we know it is equal to 180°
because we have this information we can create the equation
(8x-41) + (9x+17) = 180
17x - 24 = 180
(here you would add 24 to both sides)
17x = 204
(divide both sides by 17)
x = 12
Then you would plug in 12 for x in the equation for CBD which will then get you 125°
Mathhhhhhhhhhhhhhhhhhhh
Which one ??
Answer:
3. vertical line
4. A
hope this helps
have a good day :)
Step-by-step explanation:
Mr. Rudden saves $600 each month. How much money will he have saved after 6 months?
Answer:
$3,600
Step-by-step explanation:
what you do is multiple 600 and 6 together and you'll get 3,600
Answer:
He will have saved $3600.
Step-by-step explanation:
$600 x 6=$3600
find the unit rate! help me with this please!!
Answer:
the answer is 81 rotations per minute
HELP!!!!A fish tank that is shaped like a rectangular prism holds 5600cm3 of water. When it is ¾ of the way full, Mike drops 25 identical stones into the water. 180 cm3 of water spill from the tank. What is the volume of each stone?
Answer: 63.2 cm³
Step-by-step explanation:
The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.
This means that the stones took 1/4 of the total prism and then 180 cm³ as well.
The volume of the 25 identical stones is therefore:
= (5,600 * 1/4) + 180
= 1,580 cm³
The volume of each individual stone is:
= 1,580 / 25
= 63.2 cm³