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
Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answers
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
4.3-3 (4r-3)=0.7 (6r-10)
Answers
4.3-3(4r-3(=0.7(6r-10
We move all terms to the left:
4.3-3(4r-3(-(0.7(6r-10)=0
Would the point (4, -2) fall on the graph of y = -0.5x?
No
Yes
Answers
Functions can be represented on graphs and vice versa.
It is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex] i.e. the statement is Yes
The function of the graph is given as:
[tex]y = -0.5x[/tex]
To determine if the point (4,-2) will fall on the graph, we simply substitute 4 for x in the given function.
[tex]y = -0.5\times 4[/tex]
[tex]y = -2[/tex]
The y value for (4,-2) is -2, and the calculated y value for [tex]y = -0.5x[/tex] when x = 4 is -2.
Hence, it is true that point (4,-2) is on the graph of [tex]y = -0.5x[/tex]
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Find the value of two numbers if their sum is 112 and their difference is 66.
Answers
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation:
Divide. 603 ÷ 27 = _____
22 R11
27 R1
22 R9
21 R16
Answers
Answer:
C) 22 R9
Step-by-step explanation:
Answer: C. 22 R 9
Step-by-step explanation: 603 ÷ 27 22 R 9
(25 points) Which statement describes the point (2, 6) ?
The point is on the x-axis.
The point has an x-coordinate of 2 and a y-coordinate of 6.
The point has an x-coordinate of 6 and a y-coordinate of 2.
I don't know.
Answers
The point has an x-coordinate of 2 and a y-coordinate of 6 thus, option (B) is correct.
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane. typically expressed by the x-value and y-value pairs (x,y).
Coordinates are always written in the form of small brackets the first term will be x and the second term will be y.
The coordinate is written as (x,y)
Here, x is the horizontal distinctions and y is the vertical distinctions.
In (2,6) here 2 is the x-coordinate while 6 is the y-coordinate.
Hence "The point has an x-coordinate of 2 and a y-coordinate of 6".
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What is the slope of the line that passes through the points (8, -4) and (6, 2)?
Write your answer in simplest form.
Answers
Answer:
-3
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(2-(-4))/(6-8)
m=(2+4)/-2
m=6/-2
m=-3
I NEED ANSWER NOW PLEASE ITS DUE IN 3 MINS
Answers
Answer:
C
Step-by-step explanation:
add top half of fractions and only if there are common denominators
Answer:
C) 1/7+1/7+1/7
Step-by-step explanation:
Make sure the denominator matches that of the answer, so since 3/7, 7 is the denominator, only b and c have 7 as a denominator. Second, all the denominators have to be equal in order for you to add the numerators. Since all denominators in C are 7, you can do 1+1+1 which equals to 3.
what is the answer please help!!!
(asap)
Answers
So I could only figure out question 8, 9, 10, and maybe 12.
Answer:
8.) x=29
9.) <b=32
10.) <z=106
?? 12.) 128 i think
Step-by-step explanation:
8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.
2x+1+3x-15+49=180
After this you add up all of the similar terms.
5x+35=180
Now subtract 35 from both side to get
5x=145
Now divide each side by 5 and you should get 29
so x=29.
9.) First step is to add all of the angles together and equal to 180.
x+28+x-28+x=180
Next add all of the like terms together.
3x=180
Now divide each side by 3 to get x=60.
Don't stop there. Now fill in the x at <b.
(60)-28 which equals 32. so <b=32
10.) First step is to add all of the angles together and equal them to 180.
x-9+x-1+3x-20=180
Next add all of the like terms together.
5x-30=180
Now add 30 to both sides.
5x=210
now divide both sides by 5 to get x=42
Don't stop there.
Now fill in the answer for x in the <z spot.
3(42)-20
<z=106
12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.
Okay so first i did 3x-28+x=180
By using desmos, I got the answer x=52
Basically all it did was
4x-28=180
add 28 to both sides to get 4x=208
then we divide by 4 on both sides to get x=52
after that you fill in the x for the outer angle because that is what it is asking for.
you then get <QST=128
I know its not all of them but i hope this helps!!
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answers
Answer:
6+4n
Step-by-step explanation:
Write the word sentence as an equation. Then solve.
19 more than a number c is 4.
Answers
[tex]19+c = 4\\\\\implies c = 4-19 = -15[/tex]
Triangle 1 is composed of line segments AB, BC, and CA.
Triangle 2 is composed of line segments DE, EF, and FD.
The triangles are similar with a scale of 5:2.
Select the true statement about the proportions of the sides.
Answers
Answer:
Screenshot
Step-by-step explanation:
Given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
What are Similar Triangles?Similar triangles have corresponding side lengths that are proportional in length.Similar triangles have same shape but are of different sizes.Thus, given that both triangles are similar and have a scale of 5:2, therefore the true statement about the proportions of the sides is:
B. AC/DF = 5/2
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4(d-5)-6=2(8-d)-d what is d
Answers
Answer:
d = 6
Step-by-step explanation:
sorry for late awenser
The value of the equation is d = 6
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
4 ( d - 5 ) - 6 = 2 ( 8 - d ) - d be equation (1)
On simplifying the equation , we get
4d - 20 - 6 = 16 - 2d - d
On further simplification , we get
4d - 26 = 16 - 3d
Adding 3d on both sides of the equation , we get
7d - 26 = 16
Adding 26 on both sides of the equation , we get
7d = 42
Divide by 7 on both sides of the equation , we get
d = 6
Therefore , the value of d is 6
Hence , the equation is d = 6
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The arcs in the photo at the right appear to
be paths of stars rotating about the North Star, To produce this effect, the
photographer set a camera on a tripod and left the shutter open for an
extended time. If the photographer left the shutter open for a full 24 hours,
each are would be a complete circle. You can model a star's rotation" in the
coordinate plane. Place the North Star at the origin. Let P(1, 0) be the position
of the star at the moment the camera's shutter opens. Suppose the shutter is
left open for 2 h 40 min, with the arc ending at P. a. What angle of rotation
maps Ponto P? b. What are the x and y coordinates of P to the nearest
thousandth? c. What translation rule maps P onto P?
Answers
Answer:
a. What angle of rotation maps Ponto P?
30.25 degrees
b. What are the x and y coordinates of P to the nearest thousandth?
(83.3, 33.3)
c. What translation rule maps P onto P?
Rotation
Two vehicles are moving, one with the velocity of 20 m/s towards east and another with 10 m/s towards west. Calculate the distance between them after 20 minutes they are started from the same place and the same time.
Answers
Answer:
12 km
Step-by-step explanation:
20 minutes = 20 * 60 = 1200 second
distance = velocity * time
car 1 = 1200 * 20 = 24000 m = 24km
car 2= 1200 * 10 = 12000 m = 12km
so distance between them after 20 minutes is 24 -12 = 12 km
The expression 2,500(1.095)x represents the value of an investment after x years. What is the meaning of the 2,500?
Answers
Answer:
The value of the investment
Step-by-step explanation:
A cable company has a one time installation fee and then a monthly charge to use their service. The total cost of modeled by the function y=130x+119. Which statement represents the meaning of each part of the function?
Answers
Answer:
130=monthly charge
119=one time installation fee
Step-by-step explanation:
119 is the y-intercept and in problems like these, it is always the one time fee. 130 is the monthly payment because it has an x, which could account for the number of months. For example , say six months passed, you could multiply 130 * 6 to get the monthly fee for six months. I hope that makes sense!
The ratio of girls to boys in a class is 6 to 8. If there are 27 girls in the class, how many boys are there?
x = 36 boys
x = 40 boys
x = 32 boys
x = 46 boys
Answers
Answer:
36
Step-by-step explanation:
6:8
27/6 = 4.5
8 · 4.5 = 36
x/4-6=10 PLEASE HELP I NEED HELP ASAP
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
Here's the solution ~
[tex] \sf \dfrac{x}{4} - 6 = 10[/tex][tex] \sf \dfrac{x}{4} = 10 + 6[/tex][tex] \sf \dfrac{x}{4} = 16[/tex][tex] \sf x = 16 \times 4[/tex][tex] \sf x = 64[/tex]Value of x is 64
Ok done. Thank to me :>
Can someone please solve these 3 I DIDNT solve
Answers
Answer:
7: (3,9) 8:(-2,1) 6: (2,10)
Step-by-step explanation:
7) 2x+3=-2x+15
x=3
y=2(3)+3
y=6+3
y=9
8)x= -1(1+2y)/3
-4-2y=-6
y=1
x=-2(1+2(1))/3
x=-2
6)2x-16=-12
x=2
y=2+8
y=10
Slow and steady wins the race. The leatherback sea turtle is the fastest known reptile, with a maximum speed of 21.92 21.9221, point, 92 miles per hour ( mph ) (mph)left parenthesis, start text, m, p, h, end text, right parenthesis. Which of the following equations, where d dd is distance in miles and t tt is time in hours, represents a speed that is less than that of the leatherback sea turtle?
Answers
Answer:
ang hirap naman plss answeer
You are the CFO of a non-dividend paying firm that currently has excess cash reserves. You are preparing for an internal management meeting where dividends are on the agenda. You know that the CEO favors the commencement of a dividend program. You, however, oppose any dividend plan at this time. Write a good argument that you can use in the meeting to support your position.
Answers
The argument that can be used to oppose the dividend plan is that excess reserves can be used in financing positive NPV projects.
It should be noted that the excess reserves can increase the firm's value and the shareholders value.
Also, it should be noted that the shareholders are not required to pay any tax on an increase in their share value while the dividend payment results in tax payment.
In conclusion, the excess reserves can be used in generating further income for the company.
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Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
Answers
24*3/2= 36
Please someone help me with this question
Answers
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Please help me with mathhhhhh
the equation is 1 5/6 - 3/4
This is for a important test for advanced math in middle school
Answers
Answer:
1 1/12
Step-by-step explanation:
Make 1 5/6 improper fraction ( 1 times 6, then add 5 = 11)
Find common denominator, which is 24
6 times 4 equals 24; 11 times 4 equals 44
4 times 6 equals 24; 3 times 6 equals 18
44/24 - 18/24 (subtract only top numbers (44-18) = 26
26/24 simplified is 13/12 or 1 1/12
Hope it's right :)
A 6th grade class did a weekend fitness challenge. Each student set a goal of `75` minutes of fitness. Luca exercised for `54` minutes. What percent of the goal did he achieve?
Answers
Answer:
The answer is 72%
Step-by-step explanation:
[tex]\frac{54}{75} = 72[/tex]
54 out of 75 is a percentage of 72%.
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The percentage of the goal did he achieve will be 72%.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
A sixth-grade class did an end-of-the-week wellness challenge. Every understudy put forth an objective of '75' minutes of wellness. Luca practiced for '54' minutes.
The percentage of the goal did he achieve will be calculated as,
P = (54 / 75) x 100
P = 0.72 x 100
P = 72%
The percentage of the goal did he achieve will be 72%.
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Tell if each statement about the equations y = log5x and y = 5% are true or false.
Explain your answers.
a) The graphs of the equations are symmetric to each other over line y = 0.
b) The equation y = 5* is the exponential form of y = log5x.
c) The functions are not inverses of each other.
d) The equations are symmetric over the line y = x.
Answers
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
Answer:
a) false b) false c) false d) true
Step-by-step explanation:
5 friends are sharing 8 pieces of pizza equally.How many pieces will each friend get to eat?
Answers
Answer:
8÷5 = 1 . 6
Step-by-step explanation:
They will divide the pizzas into 5 pieces further
The weight of each fountain pen manufactured in a factory must be 10g with a tolerance of 2g. Pens that are not within the tolerated weight must be thrown away. Write an inequality that can be used to assess which pens are tolerable (w is the weight of the pen)?
Answers
According to the information given, the absolute value inequality that can be used to assess which pens are tolerable is:
[tex]|w - 10| \leq 2[/tex]
The absolute value function measures the distance of a point to the origin, and is defined by:
[tex]|x| = x, x \geq 0[/tex][tex]|x| = -x, x < 0[/tex]The weight must be of 10g, with a tolerance of 2g, which means that the absolute value of the difference between the weight w and 10g must be of at most 2g, hence the inequality is:
[tex]|w - 10| \leq 2[/tex]
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Which expression below shows that 98 can be written as the product of prime numbers?
A 2 × 49
B 7 × 7 × 2
C 5 × 5 × 2
D 14 × 7
Answers
Answer:
Step-by-step explanation:
Option A
(-2)(-49)
=2×49
=98
Option B
(4)(-27)
=-108
Option C
(-7)(14)
=-98
Option D
(-9)(11)
=-99. As a result, there us only one correct option that equal -98 which is Option C. Hope it help!
