Answers
[tex]\text{Given that,}~3x-y = 12\\\\\\\dfrac{8^x}{2^y} =\dfrac{(2^3)^x}{2^y } = \dfrac{2^{3x}}{2^y} = 2^{3x-y} = 2^{12}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's solve ~
[tex] \sf3x - y = 12[/tex][tex] \sf3x = y + 12[/tex]now, evaluate the value of given expression ~
[tex] \sf \dfrac{ {8}^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{{(2 {}^{3} ) }^{x} }{ {2}^{y} } [/tex][tex] \sf \dfrac{2 {}^{3x} }{ {2}^{y} } [/tex]Now, plug the value of 3x from the previous equation ~
[tex] \sf \dfrac{(2 ){}^{y + 12} }{ {2}^{y} }[/tex][tex] \sf2 {}^{ \ \cancel y + 12 - \cancel y} [/tex][tex] \sf{2}^{12} [/tex]Therefore , the required expression is ~ 2¹²
Related Questions
What is the slope for these cordinates
(-8,11) , (17,4)
Answers
Answer:
[tex]\displaystyle m = \frac{-7}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
Point (-8, 11)
Point (17, 4)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{4 - 11}{17 - -8}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{-7}{25}[/tex][tex]\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}[/tex]
We've been asked to find slope of the following coordinates which are (-8,11) and (17,4).
The standard formula to calculate slope is given by,
[tex]:\implies\footnotesize\rm{Slope = \frac{y_2 - y_1}{x_2 - x_1} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{4 - 11}{17 - ( - 8)} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{17 + 8} }[/tex][tex]:\implies\footnotesize\rm{Slope = \frac{ - 7}{25} }[/tex]The slope is -7/25.Need help with the answer it’s confusing
Answers
16±0.12
Step-by-step explanation:
%uncertainity=uncertainity÷measured value×100%
0.75×16=100x
x=12÷100
x=0.12
ANS;16±0.12
Evaluate 4(2a – b) when a = –1 and b = 5.
–48
–28
–12
32
Answers
4(-2-5)
4(-7)
=-28 (B)
Hey There!
Question:-[tex]\sf \longmapsto \: 4(2a - b)[/tex]
This is a algebraic expression. The values of a and b are given. The values are as follows :-
a = -1
And,
b = +5 .
Solution:-[tex]\sf \longmapsto4(2a - b)[/tex]
Note that a is multiplied with 2 that is :-
[tex]\sf \longmapsto4(2 \times a \: - b)[/tex]
Now, Insert the values that is a = -1 and b = 5 :-
[tex]\sf \longmapsto4(2 \times - 1 - 5)[/tex]
Here,we need to follow BODMAS Rule.
B = Brackets
O = Orders
D = Division
M = Multiplication
A = Addition
S = Subtraction
We need to solve the bracket's calculations first as it is the rule.
So, Firstly Multiply (2 × -1) :-
[tex]\sf \longmapsto4( - 2 - 5)[/tex]
Note that, (-) × (-) equals to (+).
So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.
[tex]\sf \longmapsto4( 5+ 2)[/tex]
On Simplification:-
[tex]\sf \longmapsto4( - 7)[/tex]
[tex]\sf \longmapsto4 \times (- 7)[/tex]
[tex]\sf \longmapsto \: - 28[/tex]
______________________________________
Henceforth the solution of the algebraic expression is :-
[tex] \bf \:- 28[/tex]
Option B is correct!
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian
The hypotenuse of a right triangle measures 16 cm and one of its legs measures 11 cm. Find the measure of the other leg.
Answers
Answer:
The answer is 11.6 cm
Step-by-step explanation:
The equation of a right triangle is a^2+b^2=c^2 (a and b being its legs and c its hypothenuse.)
Now we must input 16 cm into c and 11 cm into either a or b.
a^2+11^2=16^2 which is equal to a^2+121=256.
subtract 121 from both sides to get a^2 by itself
a^2+(121-121)=(256-121)
a^2=135
to get "a" by itself, we must find the square root of 135.
√a^2=√135
a=11.6
graph -1,-1 on this graph
Answers
Answer:
so that's how you plot their intersection
HELP!!!!!!!!!!!!!!!!!!!
Answers
Answer:
4) a₁₅ = 128
5) B. [tex]a_n=a_{n-1}+6[/tex]
Step-by-step explanation:
4)
This is an arithmetic sequence, where all terms have a common difference:
[tex]a_n=a_1+(n-1)d[/tex]
Here, the common difference is 9.
[tex]11-2=9\\20-11=9[/tex]
Use that to write the equation and solve for a₁₅:
[tex]a_n=2+(n-1)9\\\\a_{15}=2+(15-1)9\\a_{15}=2+(14)9\\a_{15}=2+126\\a_{15}=128[/tex]
5)
This is also an arithmetic sequence, but it is a recursive arithmetic sequence in the form of:
[tex]a_n=a_{n-1}+d[/tex]
This simply states that each term is d more than the term before it.
Here, the common difference is 6:
[tex]2--4=6\\8-2=6\\14-8=6[/tex]
And the equation for this is B. [tex]a_n=a_{n-1}+6[/tex]
The sum of two numbers is 20. One number is 3 times the other number. Find the two numbers, show your work
Answers
Answer:
5 and 15
Step-by-step explanation:
20 = 3x+x
Answer: The smallest number is 20, and the largest number is 27. (27 - 20) + 1 = 8. Eight numbers make 4 pairs, and the sum of each pair is 47. 4 x 47 = 188. The sum of the numbers from 20 to 27 is 188.
What is the area of the square?
32 square units
64 square units
24 square units
16 square units
Answers
Answer:
64 square units
Step-by-step explanation:
All you have to do is multiply 8 by 8 to get 64.
13. Write the equation of the line perpendicular to
5y = 3x + 25 but passing through (-4,-1)
Answers
Answer:
y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]
Step-by-step explanation:
First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.
When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].
Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).
-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b
-1 = [tex]\frac{20}{3}[/tex] + b
b = -[tex]\frac{23}{3}[/tex]
After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].
. Mahesh worked in a firm for a certain number of years which equals
the sum of degrees of + − +
and
+
+ . Find the number of years he worked.
Answers
The sum of numbers or expression involves adding the expressions and the numbers together.
Assume that the sum of the degrees is given as:
[tex]Sum = 3 + 4 - 2 + 1[/tex]
The above sum can be rewritten as:
[tex]Sum = 3 + 4 +(- 2) + 1[/tex]
Take the sum of all the numbers (including -2 in bracket)
[tex]Sum = 6[/tex]
If the sum of the degrees is given as [tex]Sum = 3 + 4 - 2 + 1[/tex], then the number of years he worked would be 6
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help please!!!!! I need it
Answers
Answer:
it is 7x-4
Step-by-step explanation:
help me please!!!!!!!
Answers
Answer:
I have no idea.
Step-by-step explanation:
I failed geometry.
Among 420 randomly selected employees at a company, the mean number of hours of overtime worked per month is 10 hours and the standard deviation is 1. 6. What is the margin of error, assuming a 99% confidence level? 4. 12 0. 01 0. 20 20. 5.
Answers
The margin of error of the random selection is 0.20
The given parameters are:
[tex]n = 420[/tex] --- the sample size
[tex]\sigma = 1.6[/tex] --- the standard deviation
[tex]\bar x = 10[/tex] --- the mean
[tex]\alpha = 99\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{1.6^2}{420}}[/tex]
[tex]E = z \times \sqrt{\frac{2.56}{420}}[/tex]
The z-value for 99% confidence level is 2.576.
Substitute 2.576 for z
[tex]E = 2.576 \times \sqrt{\frac{2.56}{420}}[/tex]
[tex]E = 2.576 \times \sqrt{0.006095}[/tex]
Take square roots
[tex]E = 2.576 \times 0.0781[/tex]
Multiply
[tex]E = 0.2012[/tex]
Approximate
[tex]E = 0.20[/tex]
Hence, the margin of error is 0.20
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Complete the table of values for x-y=6
On the grid, draw x+y=6
Answers
Answer:
couldnt draw sorry but heres the answers for a
Step-by-step explanation:
for x = -2
x+y= 6
-2+8=6
so y=8
for x=-1 do the same and y= 7
for x =0 y=6
for x=1 y=5
for x=2 y=4
for x=3 y=3
what is the number of terms for 1000z + 800y
Answers
Answer:
2 terms
Step-by-step explanation:
hope this helps! :D
have a MIRACULOUS day!! <3
Logan can make $50 per pool to clean pools during the summer to earn money. He did, however, need to
purchase some equipment to get started. After cleaning 3 pools, he was still down a total of $15.
Write a linear equation to represent the amount of money Logan has made, y, after cleaning x pools.
Answers
Answer:
Step-by-step explanation:
y = 50x - 165
What are the zeros of this function?
A. x=0 and x=-6
B. x=0 and x=5
C. x=0 and x=-5
D. x=2 and x=-6
Answers
Answer:
c i dont know
Step-by-step explanation:
Answer:
Definitely not C
Step-by-step explanation:
What is the exact value of tan(−π4)?
Enter your answer in the box.
Answers
Answer:
What is the exact value of tan(−π4)? is 20
IF YOUR QUESTION IS...
What is the exact value of tan(-pi/4)?
Answer: -1
Anyone know this? please help and Thank you very much!!!
Answers
[tex](9+7i)(6+3i)\\\\=54+27i + 42i + 21i^2\\\\=54+69i -21~~~;[i^2 =-1]\\\\=33+69i[/tex]
hlo math genius plz help no spam !!! (*°*°)
the area of a rectangle field 1800 m2 .If the ratio of length and breadth is 5:4, find itz perimeter
Answers
Let
Length=5xBreadth=4xATQ
[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]
[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]
[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]
[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]
[tex]\\ \sf{:}\longrightarrow x=30[/tex]
Length=L=5(30)=150mBreadth=B=4(30)=120m[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]
[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]
Two trucks leave a warehouse at the same time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by 2 miles per hour. After 5 hours, they are 315 miles apart. What are the rates of the trucks?
Answers
Step-by-step explanation:
the slower truck travels x miles in 5 hours.
the faster truck travels x + 5×2 = x + 10 miles in 5 hours.
so,
x + x + 10 = 315 miles
2x = 305 miles
x = 152.5 miles (in 5 hours)
therefore, the slower truck's speed was 30.5 mph.
the faster truck's speed was 30.5 + 2 = 32.5 mph.
0.9 ÷ 13 = ____
0.0707÷ 70=____
32.27 ÷ 55=_____
18.2 ÷ 51=_____
Answers
.00101
.58672727
.35686275
7.2 divided by 450 !!
Answers
Answer:
62.5
Step-by-step explanation:
If f(x) = 1 - X, which value is equivalent to Ol?
O o
1
2
V-1
Answers
The answer to your question is 1
this is the next question. Solve: 8( 4 - 2^{6} ÷ 4)
Answers
8(4-64/4)
8(4-16)
8(-11)
-88
Hey there!
8( 4 - 2^{6} ÷ 4)
= 8( 4 - 2^6 ÷ 4)
2^6
= 2 * 2 * 2 * 2 * 2 * 2
= 4 * 4 * 4
= 16 * 4
= 64
= 8(4 - 64 ÷ 4)
= 8(4) + 8(-16)
= 32 - 128
= -96
Therefore, your answer is: -96
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
5. Find mTOS in the figure below.
Answers
Applying the definition of a linear pair, m∠TOS = 52°
Recall:
Linear pair are two angles on a straight line whose sum equals 180°.
Given:
m∠TOU = 128°m∠SOV = (4x + 8)°m∠TOU + m∠TOS = 180° (linear pair)
Substitute128° + m∠TOS = 180°
Subtract 128° from both sides of the equationm∠TOS = 180° - 128°
m∠TOS = 52°
Thus, applying the definition of linear pair, m∠TOS = 52°
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Given that D, E, and F are the midpoints of their respective sides, and AC = 24, what’s the length of DE¯¯¯¯¯¯¯¯?
An image of a triangle ABC. The midpoint of AB is labeled D, the midpoint of AC is labeled F, and the midpoint of BC is labeled E. Midsegments DE, EF, and FD are drawn. AC is labeled 24.
Question options:
2 units
6 units
12 units
4 units
Answers
Answer:
DE = 12
Step-by-step explanation:
Consider Δ ABC
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
D and E are the midpoints of 2 sides of the triangle, then
DE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex] × 24 = 12
(−7c+8d)0.6
khan academy pls help.
Answers
Answer:
[tex]\sf -4.2c+4.8d[/tex]Step-by-step explanation:
[tex]\sf \left(-7c+8d\right)\cdot \:0.6[/tex]
[tex]\sf 0.6\left(-7c+8d\right)[/tex]
Apply distributive property
[tex]\sf 0.6\left(-7c\right)+0.6\times \:8d[/tex]
[tex]\sf -4.2c+4.8d[/tex]
Have a good day!
The hypotenuse of a right triangle is 6 feet long. One leg is 2 feet longer than the other. Find the length of each leg to the nearest hundredth of a foot.
Answers
A piece of metal with a length of 2. 83 cm was measured using four different devices. Which of the following measurements is the most accurate? 2. 837 cm 2. 829 cm 2. 812 cm 2. 805 cm.
Answers
Answer:
2.829 mm
Step-by-step explanation:
Correct: 2.83 mm
Measured(mm) Difference (mm)
2.837 0.007
2.829 -0.001 Smallest deviation from actual.
2.812 -0.018
2.805 -0.025
The measurement of the piece of metal that is the most accurate is 2.837 cm.
Given that,A piece of metal with a length of 2.83 cm was measured using four different devices.
We have to determine,Which of the following measurements is the most accurate?
According to the question,A piece of metal with a length of 2.83 cm was measured using four different devices.
Accuracy is the degree to which the measured value is close to the correct value.
The difference between the accepted value and the measured value of the quantity is called the error of measurement.
The measurement for the first device is,
[tex]=2.83 - 2.837\\\\=-0.007[/tex]
The measurement of the first device is -0.007.
The measurement for the second device is,
[tex]=2.83 - 2.829\\\\=-0.001[/tex]
The measurement of the second device is -0.001.
The measurement for the third device is,
[tex]=2.83 - 2.812\\\\=-0.018[/tex]
The measurement of the third device is -0.018.
The measurement for the fourth device is,
[tex]=2.83 - 2.805\\\\=-0.025[/tex]
The measurement of the fourth device is -0.02.
Hence, The measurement that is the most accurate is 2.837 cm.
For more details about Substitution refer to the link given below.
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