Answer: answer is c pls mark me brain
Step-by-step explanation:
The expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (2g³+4)²
We have to find the equivalent expression of the given expression
Equivalent expressions are expressions that work the same even though they look different
We know that (a+b)²=a²+b²=2ab
(2g³+4)² = (2g³)² + 4² +2.2g³.4
=4g⁶+16+16g³
Hence, the expression 4g⁶+16+16g³ is equivalent to expression (2g³+4)²
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Answer:
65 seats
Step-by-step explanation:
1. Approach
To answer this question, one has to find the rate at which seats are added to each row. Then one must find the number of seats in the first row. Using this information, one can form an equation to find out how many seats are in any given row when given the row number. Finally, one can substitute (20) into the equation to find out how many seats are in the row (20).
2.Find the rate at which seats are added
One is given the row number and the corresponding number of seats in the row. This information is presented in the formate ([tex]x,y[/tex]), as the following is,
(3, 31), (6, 37)
Where (x) is the row number and (y) is the number of seats.
To find the rate at which seats are added, one must solve for the rate of change. This can be done using the following formula,
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute in the given information and solve for the rate of change,
[tex]\frac{37-31}{6-3}[/tex]
Simplify,
[tex]\frac{37-31}{6-3}\\=\frac{6}{3}\\=2[/tex]
Seats are added at a rate of (2) seats per row.
3. Find the equation
The easiest way to write the equation of this situation is to use the equation of a line is in the slope-intercept form. This form is as follows,
[tex]y=mx+b[/tex]
Where (m) is the slope of the line and (b) is the (y-intercept). As one found in (step (2)) the slope of the line is (2). Substitute this into the equation,
[tex]y=2x+b[/tex]
One is given that (3, 31) is a part of this scenario, substitute this point into the equation and solve for the unknown,
[tex](31)=2(3)+b[/tex]
Simplify,
[tex]31 = 6+b[/tex]
Inverse operations,
[tex]31=6+b\\25=b[/tex]
Substitute this into the equation to complete the equation,
[tex]y=2x+25[/tex]
4.Find how many seats are in the row (20)
Now that one has the equation to find the number of seats where (x) represents the row number and (y) represents the number of seats. Substitute in the row number (20) to solve to find the number of seats in the row.
[tex]y=2x+25[/tex]
[tex]y=2(20)+25[/tex]
Simplify,
[tex]y=2(20)+25\\y=40+25\\y=65[/tex]
A bag contains 60 marbles of different colours. The probability of randomly selecting a red marble is 5/12. How many red marbles does the bag contain?
Answer:
25 red marbles
Write an equation of the line and interpret the slope:
Answer:
Equation = y=3x+12
Slope is 3
Step-by-step explanation:
Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies
Answer:
5
Step-by-step explanation:
Una máquina de bolas de chicle tiene 23 chicles verdes, 52 chicles rojos, 34 chicles azules, 61 chicles amarillos y 30 chicles rosas. ¿Qué porcentaje de los chicles son rojos?
Answer:
creo que es 96%
Step-by-step explanation: sume todo los chiles excepto los chiles rojos y luego con la suma de todos los chiles los reste con los chiles rojos.
What is the value of the expression. -(2 1/2 - 7) - 6 1/2?
Answer:-2
Step-by-step explanation:
ANSWER PLEASE!!!!!!!!!!!!!
Answer:
It would be a negative linear association if not then nonlinear association.
Step-by-step explanation:
Use the graph at the top to figure out the question. If someone could help they would be great! And brainliest. Please help
Answer:
A) $24
Step-by-step explanation:
Looking at the graph, each gallon of gasoline is $3. Therefore, the equation would be y = 3x. To solve for 8 gallons, substitute the value into the equation.
y = 3(8) = 24
Therefore, the cost of 8 gallons of gasoline would be $24.
The value of a car is deprecting at the rate of 12% Find the correct value of car when cost of car was rs 350000
please i need help
Answer:
The cost of the car is $ RS 308,000.
Step-by-step explanation:
Given that the value of a car is deprecting at the rate of 12%, to find the correct value of car when cost of car was $ RS350,000 last year, the following mathematical calculation must be performed:
100 - 12 = 88
88/100 = 0.88
350,000 x 0.88 = X
308,000 = X
Therefore, the cost of the car is $ RS 308,000.
The ratio of men to women working for a company is 4 to 7. If there are 165 employees total, how many women work for the company?
Answer: 105
Step-by-step explanation:
Given
The ratio of men to women working for a company is 4:7
There are total of 165 employees
Suppose, there is 4x men and 7x women such that the ratio remains constant
[tex]\therefore 4x+7x=165\\\Rightarrow 11x=165\\\Rightarrow x=15[/tex]
[tex]\text{Men= }4\times 15=60\\\text{Women= }7\times 15=105[/tex]
Complete the angle addition postulate for the following angle
Given:
A figure and an incomplete equation [tex]m\angle GEM+m\angle MEO+m\angle \_\_[/tex].
To find:
The missing value for the given equation by using the angle addition postulate.
Solution:
A ray EM divides the angle GEO into two parts. The first part is [tex]\angle GEM[/tex] and the second part is [tex]\angle MEO[/tex].
Using the angle addition postulate [tex]\angle GEO[/tex] is the sum of [tex]\angle GEM[/tex] and [tex]\angle MEO[/tex].
[tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex]
Therefore, the missing value is GEO and the complete equation is [tex]m\angle GEM+m\angle MEO+m\angle GEO[/tex].
State the mathematical properties of all the steps in the equation below.
(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution
Answer:
173*3*j3
Step-by-step explanation:
naksbvajahagcgaja
Answer:
HIHHIHIHIHIHIHIHIH
Step-by-step explanation:
IHIHIHIHIHIHIHIHIH
Please help thank you!
Answer:
10
Step-by-step explanation:
Tyrone is converting StartFraction 45 Over 50 EndFraction to a percent. Which method should he use to find the percent?
Answer:
Multiply the numerator and the denominator of the fraction by 2.
Step-by-step explanation:
Here are the options :
Divide the numerator and denominator of the fraction by 2.
Subtract 40 from the numerator and denominator of the fraction.
Multiply the numerator and the denominator of the fraction by 2.
Add 50 to the numerator and denominator of the fraction.
(45 x 2) / (50 x 2) = 90/100
Multiply 90/100 by 100 = 90%
the same answer would be gotten if 45/50 is multiplied by 100
45/50 x 100 = 90%
Complete the equation of the line through (-8,-2)(-4,6)
use exact numbers
Answer:
y = 2x + 14
Step-by-step explanation:
Hope this helps!!!
First, you have to find the slope by using
In other words,
The slope is 2.
Then you plug the rest into point-slope form (you can use either of the points, I used the first one)
Remember that m is the slope.
Distribute the slope to the parenthesis
Isolate the y variable
Answer:
2x+14
Step-by-step explanation:
URGENT PLS HELP!!!
Work out the value of 3x + 5y
when x = -5 and y = 5
Answer:
10
Step-by-step explanation:
3x + 5y
Let x= -5 and y =5
3(-5) + 5(5)
Multiply first
-15 +25
Then add
10
What is the area of the triangle shown below?
Answer:
12
Step-by-step explanation:
Each half of the isosceles triangle is a right triangle with side lengths 3, 4, 5.
A = bh/2
A = 8 * 3/2
A = 12
What is the area of the irregular polygon shown below?
Answer:
86 sq units
Step-by-step explanation:
it is the because:
18*4=72
3.5*4/2=7
7+7+72=86 sq units
help ...........................................
thanks,,,,
Answer:
(1,0) (0,-3)
Step-by-step explanation:
x then y a baby crawls before it walks.
PLEASE HELP ME PLS!!!!!!!!!
Help me please thank u
Answer:
your answer to this question is C.
Divide and simplify
x^2−9/x^2−16/x^2+5x+6/x-4
step by step pls
thanks
Answer:
Step-by-step explanation:
Answer:
[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]
Step-by-step explanation:
i'm going to assume what you have looks like
[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]
Let's start by factoring everything
x²-9= (x+3)(x-3)
x²-16= (x+4)(x-4)
x²+5x+6=(x+3)(x+2)
x-4= x-4
which means what we have looks like
[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]
And I think that's as simplified as it can get
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
the price of a ring was increased by 30% to £325 what was the price before the increase
HELPP!!!!!x
And thanks!
Answer:
7/10 > 17/25
Step-by-step explanation:
17/25 and 7/10
The common denominator is 50
17/25 *2/2 =34/50
7/10 *5/5 = 35/50
35 > 34 so
35/50 > 34/50
7/10 > 17/25
Me pueden ayudar con estos ejercicios porfa.
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
I NEED HELP PLEASE ITS A SOLVE FOR X PROBLEM :(
Answer:
x = 4
Step-by-step explanation:
6(6 + x) = 5(5 + x + 3) => secant secant theorem
36 + 6x = 5(8 + x)
36 + 6x = 40 + 5x
Subtract 36 from each side
36 + 6x - 36 = 40 + 5x - 36
6x = 4 + 5x
Subtract 5x from each side
6x - 5x = 4 + 5x - 5x
x = 4
The measures of the angles of a triangle are shown in the figure below. Solve X.
Answer:
x = 106º
Step-by-step explanation:
There are 180º in every triangle
x = 180 - 32 - 42
x = 106º
Answer:
x= 106 degree
Step-by-step explanation:
x + 42 + 32=180 degree (sum of interior angles of a triagle is 180 degree)
x + 74 = 180
x = 180 - 74
x = 106 degree
if sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:
Answer:
A. csc 0 = -5/4 or B. cos 0 = 3/5
Answer:
B or A
Step-by-step explanation:
sec(theta) = 1/cos(theta)
cos(theta) = adjacent side / hypotenuse.
The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus
Since the cos(theta) is positive in quad 4, B is going to be the answer.
The value for sin(theta) should be sin(theta) = - 4/5 not 2/5
Tan(theta) = - 4/3
Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.
a^2 + b^2 = c^2
a = the adjacent side = 3
b = the opposite side = b
c = the hypotenuse = 5
3^2 + b^2 = 5^2
9 + b^2 = 25
b^2 = 16
b = 4
Please Help Quick ASAp Hurry
What is the exact volume of the cylinder?
A. 780π in3
B. 5070π in3
C. 390π in3
D. 11,700π in3
Answer:
B. 5070π in³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cylinder Formula: V = πr²h
r is radiush is heightStep-by-step explanation:
Step 1: Define
Identify variables
r = 13 in
h = 30 in
Step 2: Find Volume
Substitute in variables [Volume of a Cylinder Formula]: V = π(13 in)²(30 in)Evaluate exponents: V = π(169 in²)(30 in)Multiply: V = 5070π in³Answer:
[tex]\large\fbox{B. 5070 π inches³}[/tex]
Step-by-step explanation:
We have given that :-Radius of cylinder , r = 13 inchesHeight of cylinder , h = 30 inchesWe need to find :-The Volume of cylinder
Formula Used :-Volume of cylinder = π × r ² × h
Where,
r is the radius of cylinderh is the height of cylinderSolution :-Using Formula
➛Volume of cylinder = π × r ² × h
substitute the values into the formula
➛ Volume of cylinder = π × ( 13 inches)² × 30 inches.
Evaluate exponent
➛ Volume of cylinder = π × 169 inches ² × 30 inches.
multiply, we get
➛ Volume of cylinder = 5070 π inches ³.
Therefore, option B which is 5070 π inches³ is the correct ☑ answer.