Answer:
(A)[tex]128^{x/3}[/tex]
(D)[tex](4(2^{1/3}))^x[/tex]
Step-by-step explanation:
We want to determine which of the expression is equivalent to:
[tex]\sqrt[3]{128}^ x[/tex]
By the law of indices:
[tex]\sqrt[3]{128}=128^{1/3}\\$Therefore:\\\sqrt[3]{128}^ x \\=(128^{1/3})^x\\=128^{x/3}[/tex]
Similarly:
[tex]\sqrt[3]{128}^ x \\=\sqrt[3]{64*2}^ x\\=(4\sqrt[3]{2})^ x\\=(4(2^{1/3}))^x[/tex]
The expressions that are equivalent to (∛128)ˣ are; (128)^(x/3) and (4(2^(1/3))ˣ
How to use law of indices?We want to find the expression that is equivalent to (∛128)ˣ
From law of indices, we have that;
(∛128)ˣ = [(128)^(1/3)]ˣ
This can be further expressed as;
(128)^(x/3)
Similarly, we have the simplified expression at;
[(128)^(1/3)]ˣ = (64 * 2)^(x/3)
⇒ (4³ * 2)^(x/3)
⇒ (4(2^(1/3))ˣ
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n+n+n=1 what is n?????
Answer:
1/3
Step-by-step explanation:
If you add all the n's, it would make 3n=1. Divide both sides by 3 and get n=1/3
Answer:
0.333 or 1/3
Step-by-step explanation:
0.333*3=1
Please help! Correct answer only! I've been stuck on this question for hours and I need to finish this assignment before tomorrow.
In a raffle, one ticket out of 500 will win a $390 prize, three tickets will win a $230 prize, and sixteen tickets will win a $170 prize. The remaining tickets will win nothing. If you have a ticket, what is the expected payoff?
The first question was answered on another page.
As for your second question, you are unfortunately not correct.
We can check each possible answer by adding up the costs for each road. I recommend getting a marker out to trace the path, to help keep track of which roads were taken.
So we have...
Circuit ABDCA will cost AB+BD+DC+CA = 220+210+230+240= 900 in total (not 890). We can rule out choice A because the 890 and 900 don't match up.Circuit ACDBA will cost AC+CD+DB+BA = 240+230+210+220 = 900 in totalCircuit ABCDA will cost AB+BC+CD+DA = 220+200+230+310 = 960 in totalWe see that Circuit ACDBA is the cheaper route of the answer choices given, and it perfectly matches with choice 2.
This may or may not be the cheapest route. I'm not all that familiar with the Nearest Neighbor algorithm to properly find the cheapest route (the next best thing is brute force). Luckily we can just use the answer choices as shown above. Besides the question doesn't ask for the absolute cheapest, but instead, "one of the cheapest".
So once again, the answer for the second question is choice 2The length of the rectangular fence is 4 feet greater than its width. The perimeter of the fence is less than 42 feet. What is the range of the lengths of the fence?
Answer: 4 feet < Length < 21 feet
Step-by-step explanation:
From the question, the length of the rectangular fence is 4 feet more than its width and the perimeter of the fence is less than 42 feet. The range of the lengths of the fence will be:
Length is greater than 4 feet (4 feet more than the width. This means that the length must be at least 4 feet) and less than 21 feet i.e the length must be less than 1/2 of the perimeter which is 42/2 = 21. Therefore, the answer will be:
4 feet < Length < 21 feet
Answer:
12.5
its right
Step-by-step explanation:
Which equation can be used to find x, the length of the hypotenuse of the right triangle? A triangle has side lengths 18, 24, x. 18 + 24 = x 18 squared + 24 = x (18 + 24) squared = x squared 18 squared + 24 squared = x squared
Answer:
A triangle has side lengths 18, 24, x.
18 + 24 = x
18 squared + 24 = x
(18 + 24) squared = x squared
18 squared + 24 squared = x squared
Step-by-step explanation:
The right triangle hypotenuse has its length 18² + 24² = x².
What is hypotenuse?In a right triangle, the "side opposite to the right angle is hypotenuse".
According to the question,
In right angle triangle, sides are 18, 24, x. Where 'x' is the hypotenuse of the right angle triangle. In right angle the opposite angle is 90⁰ . In order
to find hypotenuse,
18 + 24 = x
18² +24 =x
(18+ 24) ² = x²
18² + 24² = x²
Hence, the right triangle hypotenuse has its length 18² + 24² = x².
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Is the graph increasing, decreasing, or constant?
O A. Increasing
ООО
B. Decreasing
O C. Constant
constant it will keep going up and it won't stop
In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.
We need to check whether the given graph is increasing, decreasing, or constant.
How do you tell if a graph is increasing?Increasing: A function is increasing, if as x increases (reading from left to right), y also increases. In plain English, as you look at the graph, from left to right, the graph goes uphill. The graph has a positive slope.
From the given graph we can see that the line is increasing from left to right.
In the graph, the line is increasing from left to right. Therefore, option A is the correct answer.
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A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute. A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute. A fire hydrant with a purple cap provides water at half the rate of a fire hydrant with a green cap..Which equation relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
Answer: 2b = 3g
Step-by-step explanation:
This is quite basic to solve, below is a Step by step explanation:
from the given question we have that;
A fire hydrant with a blue cap provides water at a rate of 1,500 gallons per minute.i.e b = 1500 gallons per minute
A fire hydrant with a green cap provides water at a rate of 1,000 gallons per minute.g = 1000 gallons per minute.
Our questions tells us to write the equation which relates the flow of water from the blue hydrant, b, to the flow from the green hydrant, g.
ANS:
Since flow from blue hydrant b = 1500 gallons per minute, we have that
b = 3 * 500
b = 3 * 1000/2 g
b = 3/2 g
equation gives 2b = 2g
cheers i hope this helped !!
A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $80 million after 4 years, while profits increased $60 million per year. Select the correct graph of this function. A B C D
Step-by-step explanation:
Given a point (4,80) and a slope, m = 60, these can be used to formulate the equation of the graph. Using the point-slope formula:
y - y1 = m(x - x1)
y - 80 = 60(x - 4)
y - 80 = 60x - 240
y = 60x -160
Taking the x and y-intercepts:
At y = 0
0 = 60x - 160
x = 2.7
At x = 0
y = 60(0) - 160
y = -160
The answer is A. Hope this helps ✌️
The solution to this system of equations lies between the x-values -2 and -1.5. At which x-value are the two equations approximately equal?
Answer:
yes it's equal because, if -2 and 1.5 it's the same so it would be x=2.3
Step-by-step explanation:
2.4
Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points?
Answer:
Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour Option (B)
Step-by-step explanation:Aaron;s rate for mowing lawns is 0.5 acres per hour."as1.5 acres / 3 hours = 0.5 acres an hour2.5 acres / 5 hours = 0.5 acres an hour
If point B is reflected across the y axis, what are the coordinates of the new point?
(-3,2)
(-2,-3)
(-2,3)
(3,-2)
Answer: (3,-2)
Step-by-step explanation: We're reflecting to the y-axis, thus, we're going to reflect to the right.
(-x,-y) ⇒ (x,-y)
Our current coordinate is (-3,-2)...let's convert it now...
(3,-2)
I hope this helps!
Answer:
(3, -2).
Step-by-step explanation:
When you reflect across the y axis the y coordinate stays the same and the x axis changes sign : (x, y) --> (-x, y).
So B (-3, -2) --> (3, -2).
Which of the following is equal to the ratio of the circumference of a circle to its diameter?
Answer:
Im pretty sure its the 1st one
Step-by-step explanation:
Answer:
option 3 π
Step-by-step explanation:
Circumference = πd
Circumference : diameter = πd : d
= π : 1 = π
Which of following lies between 0 and -1 ?
Answer:
Step-by-step explanation:
There are many numbers that lie between 0 and -1
Some common numbers are -1/4 , -1/2 , -3/4 , etc.........
Other numbers can be found by multiplying the numerator and denominator by the same number for example, 10
0/1 × 10/10 = 0/10
-1/1 × 10/10 = -10/10
Now the numbers between 0/10 and -10/10 are :
-1/10, -2/10....................................-9/10 etc.
hope this helps
plz mark it as brainliest!!!!!!!
The numbers lies between 0 and -1 shown below:
What is rational number?A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. For example, −3/7 is a rational number, as is every integer.
To find the number lies between 0 and -1, we have to
0/1 and -1/1
0/1* 10/10 and -1/1*10/10
so, we have to find in between 0/10 and -0/10
-1/10, -2/10, -3/10, -4/10, ............................ -9/10
Hence, the numbers are -1/10, -2/10, -3/10, -4/10, ............................ -9/10.
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In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
97.96 cm
596.14 cm²
Step-by-step explanation:
sides become:
30 cm ⇒ 16 cm25 cm ⇒ 11 cmand added corners:
4*2πr/4= 2πr = 2*3.14*7 cm= 43.96 cmthen perimeter is:
P= 2*16+2*11+43.96= 97.96 cmthe area left is:
A= 30*25- 4*1/4*3.14*7²= 596.14 cm²What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
Q4: Katie and Tyler are working at their lemonade stand. An hour ago, their pitcher of lemonade was 78 full. Since then, they have sold 12 of a pitcher of lemonade. What fraction of a pitcher do they have left?
Answer:
3/8 of the pitcher of lemonade remains.
Step-by-step explanation:
They tell us that at first they had 7/8 of a pitcher full of lemonade, and they ask us to know what fraction is left if they have taken 1/2 of the pitcher of lemonade for a while, which means that it would be a subtraction between what had at the beginning and what they have taken, would be:
7/8 - 1/2 = (14 - 8) / 8 * 2 = 6/16 = 3/8
Which means that 3/8 of the pitcher of lemonade remains.
someone pls help me with this :nth term of 3 4.5 6 7.5 I need the answer asap
Answer:
9.5
Step-by-step explanation:
the numbers go up by 1.5
so, 7.5 + 1.5 = 9
Please help with this question
Answer:
[tex]25[/tex]
Step-by-step explanation:
[tex]\frac{5^8 \times 5^{-2}}{5^4}[/tex]
[tex]\frac{5^{8+-2}}{5^4}[/tex]
[tex]\frac{5^{6}}{5^4}[/tex]
[tex]5^{6-4}[/tex]
[tex]5^2[/tex]
[tex]=25[/tex]
What is the value of y?
-3(x+ 2y) + 5(3x - y) + y2 for x = 6 and y= 2.
Answer:
54
Step-by-step explanation:
Given that p=9i+12j and q=-6i-8j. Evaluate |p-q|-{|p|-|q|}
Answer:
[tex]|p-q|-(|p|-|q|) = 20[/tex]
Step-by-step explanation:
First let's find the value of 'p-q':
[tex]p - q = 9i + 12j - (-6i - 8j)\\p - q = 9i + 12j + 6i + 8j\\p - q = 15i + 20j\\[/tex]
To find |p-q| (module of 'p-q'), we can use the formula:
[tex]|ai + bj| = \sqrt{a^{2}+b^{2}}[/tex]
Where 'a' is the coefficient of 'i' and 'b' is the coefficient of 'j'
So we have:
[tex]|p - q| = |15i + 20j| = \sqrt{15^{2}+20^{2}} = 25[/tex]
Now, we need to find the module of p and the module of q:[tex]|p| = |9i + 12j| = \sqrt{9^{2}+12^{2}} = 15[/tex]
[tex]|q| = |-6i - 8j| = \sqrt{(-6)^{2}+(-8)^{2}} = 10[/tex]
Then, evaluating |p-q|-{|p|-|q|}, we have:
[tex]|p-q|-(|p|-|q|) = 25 - (15 - 10) = 25 - 5 = 20[/tex]
What is the volume in cubic units of a cube with a side length of 1/2 unit?
Answer:
1/8
Step-by-step explanation:
[tex]\frac{1}{2}^3 = \frac{1^3}{2^3} = \frac{1}{8}[/tex]
Geno is running back for the Bayside Barn Owls. During the final drive of his last football game, he gained 4 yards three times, lost 1 yard twice, and gained 6 yards twice.
Answer:
22
Step-by-step explanation:
Answer:
22 yd
Step-by-step explanation:
25 Uma conta de gás, no valor de R$ 48,00, com
vencimento para 13 de abril, trazia a seguinte
informação: "Se a conta for paga após o venci-
mento, incidirão sobre o seu valor multa de 2%
e juros de 0,033% ao dia, que serão incluídos na
conta futura".
Qual será o acréscimo a ser pago sobre o valor da
próxima conta por um consumidor que quitou o
débito em 17 de abril? E se ele tivesse atrasado
o dobro do número de dias para
Answer:
R$49.02
R$49.09
Step-by-step explanation:
Por não pagar a conta em dia, o valor de 2% de juros foi adicionado, o novo valor base passa a ser:
[tex]V = 1.02*48\\V=R\$48.96[/tex]
O valor a ser pago n dias após o dia 13 de abril é dado por:
[tex]P=48.96*(1+\frac{0.033}{100} )^n[/tex]
No dia 17 de abril, n =4 e o valor a ser pago é:
[tex]P=48.96*(1+\frac{0.033}{100} )^4\\P=R\$49.02[/tex]
Caso n =8, o valor a ser pago seria:
[tex]P=48.96*(1+\frac{0.033}{100} )^8\\P=R\$49.09[/tex]
-30 belongs to what family of real numbers ?
Answer: Irrational numbers
Each handful of cheese covers 21 sqaure inches. How much handful of cheese they need to cover 5 slices of cheese with a area of 125.7in
Answer: 30
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the number of slices of cheese (5) by the area of each slice (125.7)
125.7 (5) = 628.5 in2
Finally we have to divide that result by the area that each handful of cheese covers (21 in2)
628.5 / 21 = 29.92 = 30 handful of cheese
Feel free to ask for more if needed or if you did not understand something.
Answer:
30
Step-by-step explanation:
On Monday the temperature at 10 p.m at sams house was -6 Fahrenheit the temperature at 2 p.p at sams house was 2 Fahrenheit which statement about the change in temperature from 10 a.m to 2 p.m at sams house is true?
Answer:
rose 8
Step-by-step explanation:
-6fahrenheit plus 8 = 2 it took four hours to rise 8 i think
There are 40 nickels in a roll. If you have 250 rolls of nickels, how many nickels do you have? pls can someone help me?
Answer:
10,000 nickels
Step-by-step explanation:
Consider the two triangles.
Triangles W U V and X Z Y are shown. Angles V U W and Y X Z are congruent. Angles U W V and X Z Y are congruent. Angles U V W and Z Y X are congruent. The length of side V W is 60 and the length of side Z Y is 48. The length of side Y X is 40 and the length of V U is 50. The length of side U W is 40 and the length of X Z is 32.
How can the triangles be proven similar by the SSS similarity theorem?
Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over Z Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over X Y EndFraction are equivalent.
Show that the ratios StartFraction U V Over X Y EndFraction and StartFraction W V Over Z Y EndFraction are equivalent, and ∠V ≅ ∠Y.
Show that the ratios StartFraction U V Over Z Y EndFraction and StartFraction W U Over Z X EndFraction are equivalent, and ∠U ≅ ∠Z.
Answer:
(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
Step-by-step explanation:
In Triangles WUV and XZY:
[tex]\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.[/tex]
Therefore:
[tex]\triangle UWV \cong \triangle XZY[/tex]
To show that the triangles are similar by the SSS similarity theorem, we have:
[tex]\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}[/tex]
As a check:
[tex]\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25[/tex]
The correct option is A.
Answer:
answer is a
Step-by-step explanation:
Triangle EFG has vertices E(-3,4), F(-5,1), and G(1,1). The triangle is translated so that the coordinates of the image are E’(-1,0), F’(-3,-5), and G’(3,-3).
Answer:
first Horizontal translation right '2' units and vertical translation up '-4' units
E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)
F(-5 +2 , -1 +(-4) → F¹(-3 ,-5)
G( 1+2 , 1+(-4) → G¹(3 ,-3))
Step-by-step explanation:
Explanation:-
Now we will applying below rules
Type of transformations change to co-ordinate point
vertical translation up 'd' units (x,y)→(x, y+d)
vertical translation down 'd' units (x,y)→(x, y-d)
Horizontal translation left 'C' units (x,y)→(x-c, y)
Horizontal translation right 'C' units (x,y)→(x+c, y)
Now we will apply rule is
first Horizontal translation right 'C' units and vertical translation up 'd' units
Given E( -3 ,4 ), F(-5 ,1) and G(1,1)
first Horizontal translation right '2' units and vertical translation up '-4' units
and it translated E ( -3 +2 , 4+(-4)) → E¹(-1 ,0)
F(-5 +2 , -1 +(-4) → F¹(-3 ,-5)
G( 1+2 , 1+(-4) → G¹(3 ,-3))
Answer:C, The answer is the third option
5. Jason works at a local fish and chips restaurant.
He earns $7/h during the week, and $9/h on the weekend.
a) Jason works 8 h during the week and 12 h on the weekend.
Write an expression for his earnings.
b) Jason works x hours during the week, and 5 h on the
weekend. Write an algebraic expression for his earnings.
c) Jason needs $115 to buy sports equipment.
He worked 5 h on the weekend.
How many hours does Jason need to work during the week to
have the money he needs?
Answer:
a) 7(8)+9 (12)
b)7x+45
c )10 hours
Step-by-step explanation:
Hi, to answer this question we have to write an expression
The amount earned by Jason must be equal to the product of the amount he earns per hour during the week (7) and the hours worked during the week (x) ; plus the product of the amount he earns per hour during the weekend ( 9) and the hours worked during the weekend (y):
7x+ 9y
a) substitute x=8 and y=12
7 (8)+ 9 (12)
b) substitute y =5
7 x +9(5) =
7x+ 45 =
c)
Substitute y=5 and the expression must be equal to the amount he needs to buy sports equipment (115):
7x+9 (5)=115
Solving for x:
7x + 45 =115
7x = 115-45
7x = 70
x =70/7
x =10 hours