Answers
Answer:
A) 2¹²
Step-by-step explanation:
Given :
3x - y = 12Equate the equation to y :
3x - y + y = 12 + y12 + y = 3x12 + y - 12 = 3x - 12y = 3x - 12Substituting in the expression :
[tex]\frac{8^{x} }{2^{y} }[/tex][tex]\frac{2^{3x} }{2^{3x-12} }[/tex][tex]{2^{3x-3x+12}}[/tex]2¹²Related Questions
What is the solution to this system of equations? 2x + 2y = 8 and 4x + 3y = 16
Answers
Answer:
y=0, x=4
Step-by-step explanation:
2x+2y=8 --- (1)
4x+3y=16 --- (2)
Multiply the coefficient of x in equation (1) across the variables in equation (2), and multiply the coefficients of x in equation (2) across the variables in equation (1).
8x+8y=32 ---- (3)
8x+6y=32 ---- (4)
Subtract equation (3) from (4)
2y=0, y=0/2, y=0.
Substitute the solution for y=0 into equation (1)
2x+2(0)=8
2x=8
x=4
..................................
Answers
Answer:
..................................
Step-by-step explanation:
Answer:
..................................
Step-by-step explanation:
No clear question so the answer is the question
The length of a log of wood is 90 in. How many cuts do you need to make to obtain
the greatest number of pieces, where each piece will have a different length and the
length of each piece is a whole number, in inches?
Answers
The greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
The total length of the wood = 90 in
We have to cut it into the greatest number of pieces, where each piece will have a different length and the length of each piece is a whole number, in inches.
We can cut it like:
1 in, 2 in, 3 in, 4 in, and so on
The above shows the arithmetic sequence,
The sum of the n natural number is given by:
[tex]\rm S_n = \dfrac{n(n+1)}{2}[/tex]
[tex]\rm 90 = \dfrac{n(n+1)}{2}[/tex]
After solving, we will get a quadratic equation:
n² + n -180 = 0
After solving, we will get:
n = 12.92 and n = -13.92(term can not be negative)
n = 12 (taking whole number)
Thus, the greatest number of pieces will be 12 where each piece will have a different length and the length of each piece is a whole number, in inches and the remaining piece length will be 12 in(90 - 78).
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Which table represents a linear function?
Answers
Answer:
B. Is linear
Step-by-step explanation:
if you graph it it’s a straight line going up
Hope this helps! ;-)
please please help me i will give you a ton of points
Answers
Answer:
Step-by-step explanation:
(d). V ≈ 3016
S.A. ≈ 2261
3(2x + 5)= 4 (c-3) I know how to solve it but can someone explain it.
Answers
Answer:
3x×2c+1
Step-by-step explanation:
6x+15 =4c-12
[tex] \frac{6x + 15}{4c - 12} = \frac{4c - 12}{4c - 12} [/tex]
[tex] \frac{6x + 15}{4c - 12} [/tex]
[tex] \frac{3x + 5}{2c - 4} [/tex]
[tex]3x + 5 \div 2c - 4[/tex]
[tex]3x \times 2c + 5 - 4[/tex]
[tex]3x \times 2c + 1[/tex]
find the value of x
please help me out here ill do anything
Answers
Answer:
let's find the value of x:
4)
10x=6(5)10x=30x=35)
9(x+4)=8(8+10)9x+81=1449x=63x=76)
y^2=2(2+9)y^2=2×11y^2=22y=√(22)y= 4.69 or 4.7Brady borrowed $59.99 from his brother
to buy concert tickets. His brother charges
him a weekly simple interest rate of 3.25%.
Brady pays him back in 4 weeks.
Answers
Answer:
Pay back $ 67.79 in four weeks
Step-by-step explanation:
He will have to pay INTEREST FO
59.99 x .0325 x 4 = 7.7987
PLUS the 59.99 that he borrowed
= 67.79
Malik randomly selects 60 students at Williams High School about their favorite flavor of milkshake. Of the students selected, 24 identified chocolate as their favorite milkshake. There are 1,990 students at Williams High School. Based on the data, what is the most realistic estimate for the number of students at Williams High School whose favorite ice-cream is Chocolate? A. 60 Students, B. 796 Students, C. 1,194 Students, or D. 1,400 Students?
Answers
Answer:
B
Step-by-step explanation:
The answer is B as this is a simple ration question.
All you need to do is convert the question into ration fraction form:
24/60 =x/1990
x is the number of people whose favourite ice-cream is chocolate.
Do cross multiply on both sides and you will get 47760=60x.
x= 796.
Thus, you get your answer.
Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line.
a. If a bottle is removed from the filling line, what is the probability that it is defective?
b. If a customer buys a bottle that has not been removed from the filling line, what is the probability that it is defective?
Answers
The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03
The probability that a bottle on the line is defective?The given parameters are:
P(Defective) = 30%P(Remove) = 0.9P(Not defective and remove) = 0.2The probability that a bottle on the line is removed if defective is:
P = P(Defective) * P(Remove)
This gives
P = 30% * 0.9
Evaluate
P = 0.27
Hence, the probability that a bottle on the line is defective and removed is 0.27
The probability that a bottle not on the line is defective?This probability is represented as:
Defective and Not removed
It is calculated as:
P = P(Defective) * P(Not Remove)
Using the complement rule, the probability that a defective bottle would not be removed is:
P(Not Remove) = 1- P(Remove)
P(Not Remove) = 1 - 0.9 = 0.1
So, we have:
P = 30% * 0.1
Evaluate
P = 0.03
Hence, the probability that a bottle on the line is defective and not removed is 0.03
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Find the length of ST. ST=?
Answers
Answer:
ST = 7
Step-by-step explanation:
By the theorem of intersecting secants outside of a circle, we have:[tex]RS(RS +ST) = RQ (RQ+QP)[/tex][tex]\implies 11(11 +ST) = 9 (9+13)[/tex][tex]\implies 11(11 +ST) = 9 *22[/tex][tex]\implies 11 +ST =\frac{ 9 *22}{11}[/tex][tex]\implies 11 +ST =18[/tex][tex]\implies ST =18-11[/tex][tex]\implies\huge\orange{\boxed{ ST =7}}[/tex]if spur gear system has a driver gear with 100 teeth and rotates at a speed of 10 RPM and is meshed with a driven gear of 20 teeth, then the driven gear will rotate at a speed of:
A. 200 RPM
B. 100 RPM
C. 50 RPM
D. 20 RPM
E. none of the above
Answers
100 teeth / 20 teeth = 5
5 x 10 rpm = 50 rpm
answer: 50 rpm
Which statements about the design are true? select three options. each sprinkler head is placed more than 3 feet from the walkway. if two additional sprinkler heads are placed on the lawn, every square foot of the yard would be watered. the total area watered by each sprinkler is approximately 63.6 square feet. the total area watered by all the sprinklers is approximately 254 square feet. if the sprinklers were placed in two straight lines on the yard, they would water a greater amount of the lawn.
Answers
The true statements are:
A. Each sprinkler head is placed more than 3 feet from the walkway.C. The total area watered by each sprinkler is approximately 63.6 square feet.D. The total area watered by all the sprinklers is approximately 254 square feet.Calculations and Parameters:Given that:
Sprinkler head = More than one grid box awayEach grid= 3 feetSprinkler distance= 1.5 boxesRadius=?Area=?To find the radius, 3 * 1.5= 4.5 feet.
The area of each circle=
[tex]3.15(4.5)^2 \\= 63.585 \\ 63.6 ft^2.[/tex]
Hence, the statements that are true are options A, C, and D.
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Answer:
It is A C D
Step-by-step explanation:
:) good luck
36) A new car dealership celebrated its grand opening by awarding prizes to 10 buyers. Five of
the buyers received a cash prize of $500, and 3 buyers received a cash prize of $1000. Two
buyers received $2500. If one of the buyers receiving a prize is selected at random, what is the
probability that the buyer received $2500?
Answers
Answer:
.20
Step-by-step explanation:
The circumference of a circle is approximately 43.96 centimeters. What is the radius of the circle? 3.14 for Pie
-7 Centimeters
-11 Centimeters
-14 Centimeters
-22 Centimeters
Answers
Answer:
7 Centimeters
Step-by-step explanation:
5. Find the area of the figure below:
5 cm
4 cm
2cm
5 cm
Answers
Answer:
33 cm^2
Step-by-step explanation:
To find the are of the figure as a whole, find the area of each rectangle individually and then add them together.
The area of a rectangle is [tex]A = bh[/tex], so the area of the small rectangle would be [tex]4*2[/tex], or [tex]8cm^2[/tex].
The area of the larger rectangle would be [tex]5*5[/tex], or [tex]25cm^2[/tex].
So, adding those areas together, we get [tex]33cm^2[/tex] as the area of the whole figure.
I need the answer for the what if one
Answers
so you would ski down the mountain to the nearest foot is 2556.06ft
Ashmita is 63 inches tall. How does her height compare with the other AP Stats students in her class?
Answers
Answer:
Using Logic...she is shorter than most children at that level.
Step-by-step explanation:
Ashmita is 63 inches tall which is 5 foot 3. or 5.25 feet
When AP stats starts you should be in Highschool.
Here are the averages of highschool students, in height.
14 years = 5ft 4.5in (163.8 cm) 5ft 2.5in (158.7 cm)
15 years = 5ft 7in (170.1 cm) 5ft 2.9in (159.7 cm)
16 years = 5ft 8.3in (173.4 cm) 5ft 4in (162.5 cm)
17 years = 5ft 9in (175.2 cm) 5ft 4in (162.5 cm)
I WILL GIVE BRAINLIST HURRY PLS
The box plot shows the total amount of time, in minutes, the students of a class spend reading each day:
What information is provided by the box plot? (3 points)
The mean for the data
The median for the data
The number of students who provided information
The number of students who read for more than 21.5 minutes
Answers
Answer:
10000000 Thousand second ........°°°°°°
lets write the possible subset of the following sets and list the proper subset separately
Answers
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
What is a subset?In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be identical;
A) Integers are whole numbers (without fractions) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
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Which of the following is a rational function?
O A. F(x) =
x² +5x-6
3x
OB. F(x)=x-x+8
O C. F(x)=√2x-1+9
OD. F(x) = -7x+15
Answers
Answer:c
Step-by-step explanation:
The function x² +5x-6/3x is a rational function, option A is correct.
What is a function?A relation is a function if it has only One y-value for each x-value.
x² +5x-6/3x is a rational function, as it can be written in the form:
F(x) = (x² + 5x - 6) / (3x)
where the numerator and denominator are polynomials.
F(x)=x-x+8 is not a rational function, as it simplifies to F(x) = 8, which is a constant and not a fraction.
F(x)=√2x-1+9 is not a rational function, as it contains a square root and cannot be expressed as a ratio of two polynomials.
F(x) = -7x+15 is not a rational function, as it is a polynomial and not a fraction.
Therefore, the function x² +5x-6/3x is a rational function, option A is correct.
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Hi i would give brainlist (Which function best models the following table?
Answers
Answer:
A is the answer Have a great day
Step-by-step explanation:
Hey guys! Please read this whole thing!
Ok, so I just went into this coarse and I read the lesson and it can’t answer this anywhere! Should I just like ignore the 4 in there? If not, can you walk me through step by step how I would find the volume in this question? I’m completely stuck. Help!
Answers
Answer: Yes, you can ignore the four on this one. Since the shape is irregular, you have the separate them. The bigger box will be 54.
Length(6) × Width(3) × Height(3)
Do the same for the smaller box = 3 × 1 × 2
The volume of this irregular shape will be 60.
V = 60
Step-by-step explanation:
You want to split this prism into solvable prisms. What you would do in this situation is take the big rectangular prism from the bottom which will give you the values, 6,3,3. You will want to find the volume of that prism. Now you want to find the take the prism on top which will give you the values, 1,2,3. You will want to find the volume of this prism as well. Once you find the to volumes you will want to add them together. Now you have the volume of your full prism.
(-10)-(-6) ( subtracting integers)
Answers
Negative when subtracted is counted as positive because negative multiplied with negative gives positive
-10-(-6)
-10+6
-4 answer
Answer:
-4
Step-by-step explanation:
(-10)-(-6)=
-10 + 6=
-4
hope this helps
have a good day
What’s the next sequence
Answers
recursive formula= an=a(n-1)+1.2
therefore the answer being 6.2
The perimeter of a rectangle is given by P = 2(L + B) where L and B are the lengths of the sides. Find P when L= 17 and B = 13.
Answers
Answer:
60.
Step-by-step explanation:
P = 2( 17 + 13)
= 2 * 30
= 60
if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answers
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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What is the ratio of the volumes of two similar rectangles, if the ratio of their perimeters is 2:9?
Answers
Answer:
Step-the base is equal to length * width.
the formula for the volume of a rectangular prism becomes length * width * height.
the ratio of the volume of a three sided figure is the ratio of their corresponding sides cubed.
so if the ratio of their volumes is 125/64, then the ratio of their corresponding sides id 5/4 because 5^3 = 125 and 4^3 = 64.
since the base area is equal to length * widfth, then the ratio of the areas becomes 5^2 / 4^2 which is equal to 25/16.
the ratio of the base area becomes 25/16.
to confirm, use an example:
original prism has dimensions as shown below:
length = 20
width = 40
height = 60
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
ratio of the volumes = 93750 / 48000 = 1.953125
ratio of the base areas = 1250 / 800 = 1.5625
125/64 = 1.953125
25/16 = 1.5625
the formulas work.
the ratio of the volume is 125/64
the ratio of the base area is 25/16by-step explanation:
volume = 20 * 40 * 60 = 48000
base area = 20 * 40 = 800
prims that has sides in a ratio of 5/4 to original prism is shown below:
length = 20 * 5/4 = 25
width = 40 * 5/4 = 50
height = 60 * 5/4 = 75
volume = 25 * 50 * 75 = 93750
base area = 25 * 50 = 1250
Determine whether the value of each power is positive or negative.
(-10)
Positive
Negative
(-3)
(-2)
(-1)
(-6)
(-4)
Done
Intro
Answers
Answer:
answer in picture
Step-by-step explanation:
Select the graph of the equation below.
y= 3 over 2 x²+4x-2