I need help on this question I’m confused I think a &b are the same and c &d are different but I’m not to sure !
Answers
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Reason:
[tex]2^6[/tex] means we have 6 copies of "2" multiplied out as shown in choice B. That explains how A and B are the same, and we can say
[tex]2^6 = (2*2*2)*(2*2*2)[/tex]
The parenthesis are optional, but I find they're handy to count the '2's easier.
----------------
Now notice that
[tex]2^3 = 2*2*2[/tex]
So,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2^3)*(2^3)\\\\2^6 = (2^3)^2\\\\[/tex]
The last step is possible because we have two copies of [tex]2^3[/tex] multiplied together.
This shows that choice C is equivalent to A and B.
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Lastly,
[tex]2^6 = (2*2*2)*(2*2*2)\\\\2^6 = (2*2)*(2*2)*(2*2)\\\\2^6 = (2^2)*(2^2)*(2^2)\\\\2^6 = (2^2)^3\\\\[/tex]
The jump to the last step is possible because we have three copies of [tex]2^2[/tex] multiplied together.
This shows choice D is equivalent to the others.
All four expressions are the same.
They represent different ways to say the same number. That number being 64.
Related Questions
Help is number 2 correct and help for number one
Answers
Number 2 is incorrect :
[tex]\frac{-25x^{3}+15x }{5x} = \frac{-25x^{3}}{5x} + \frac{15x}{5x} = -5x^{2} + 3[/tex]
Number 1 :
[tex](-5)^{3} . 13^{-2} . (-5) .13^{9} = -125 . \frac{1}{13^{2}} .(-5).13^{9} = 625 . \frac{13^{9}}{13^{2}} = 625 . 13^{7}[/tex] (i dont think we can bare calculate this cause it;s too big ;-;)
Two fish tanks have measurements as shown. Which tank has a greater volume? How much greater is its volume? Use the drop-down menus to explain and show your answer. Fish Tank A shows an area of base that is 25 square feet and a height of 8 feet. Fish Tank B shows an area of base that is 40 square feet and a height of 4 feet. The volume of fish tank A is Choose... cubic feet, and the volume of fish tank B is Choose... cubic feet. So fish tank Choose... has a greater volume. Its volume is greater by Choose... cubic feet. 10 / 14 9 of 14 Answered
Answers
Answer:
Volume of fish tank A is 200
Volume of tank B is 160
Tank A’s volume is greater by 40 cubic feet
Step-by-step explanation:
25 x 8 = 200
40 x 4 = 160
So:
200 - 160 = 40
need help :((((((((((((((((((((((
Answers
Group like terms
7k - 4k = 39-6
3k = 33
Divide through by 3
k =11
The function f(x) equals the number of feet above sea level a rock climber is at x
minutes. After 45 minutes the climber reaches his maximum height of 800ft. above
sea level. He stays on the mountain for 2 hours.
What is the practical domain of f(x)?
Answers
For the function f(x), the practical domain will be [0 min, 165 min]
What is the practical domain?
We define the practical domain as the section of the domain that has practical meaning.
In this case, the part of the domain that we care about is only when the rock climber is on the mountain.
In this case, we assume that the climb starts at x = 0 minutes.After 45 minutes, the climber reaches the top, at x = 45 minutes.And the climber stays on the mountain for 2 hours more, until x = 120 min + 45 min = 165 minutes.After that, the function does not work anymore, then the practical domain will be [0 min, 165 min]
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Chin-Mae has a fishtank that measures 75 cm by 45 cm by 35 cm. He also has a jug that holds 1.75 litres. He uses the jug to fill the fishtank with water. How many full jugs of water does it take to fill the fishtank? Show how to check your answer.
Answers
To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
Simplify 3xy(5x +3 - 7y)
Answers
[tex]3xy(5x+3-7y)=15x^2y+9xy-21xy^2[/tex]
Karen's mom is filling 12 birthday hats with candy for her birthday party. Each hat is shaped like a cone with a height of 6 inches and a radius of 3 inches.
Which statements are true? Choose all that are correct.
Answers
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
What is volume?
Volume is the amount of space occupied by a three dimensional shape or object.
The volume of a cone is given by:
volume = (1/3) * π * radius² * height
The cone that has a height of 6 inches and a radius of 3 inches. Hence:
Volume = (1/3) * π * 3² * 6 = 56.55 in³
For 12 hats:
Volume = 12 * 56.55 in³ = 678.58 in³
The volume of each birthday hat is 56.55 in³ and the 12 hats has a total volume of 678.58 in³
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solve for the x in the triangle .
Answers
In all triangles the angles must add up to 180 so 68 + 90 =158 + 22 =180
A 2-column table with 4 rows. the first column labeled elevation (meters) has entries 500, 1000, 1500, 2000. the second column labeled temperature of air (degrees celsius) has entries 11.8, 8.5, 5.3, 2.0. as elevation increases, temperature decreases. at which elevation will sound travel fastest? 500 meters 1,000 meters 1,500 meters 2,000 meters
Answers
The sound will travel fastest at an elevation of 500m,
Elevation Temperature
500m 11.8°C (MAXIMUM)
1000m 8.5°C
1500m 5.3°C
2000m 2.0°C
Why do sounds travel at a faster rate at high temperatures?Molecules at higher temperatures have more energy and they can vibrate faster and allow sound waves to travel more quickly because the more is the medium, the more quickly sound waves propagate.
So, when the temperature is maximum i.e. 11.8°C, the sound will travel fastest. The elevation corresponding to 11.8°C is 500m.
So, Sound will travel fastest at 500m elevation.
Therefore, At an elevation of 500m, the sound will travel fastest.
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Answer:
500 meters
Step-by-step explanation:
Please help!
Find the value of x. Round to the nearest tenth for numbers #19.
Find the value of x. Round to the nearest degree # 23 & #27.
-Answer the last question :)
LAST QUESTION: The lengths of the diagonals of a rhombus are 2in. and 5in. Find the measures of the angles of the rhombus to the nearest degree.
Answers
The values of x in the triangles and the angles in the rhombus are illustrations of tangent ratios
The values of x in the triangles are 21.4 units, 58 degrees and 66 degreesThe angles in the rhombus are 44 and 46 degrees, respectivelyHow to determine the values of x?Triangle 1
The value of x is calculated using the following tangent ratio
tan(25) = 10/x
Make x the subject
x = 10/tan(25)
Evaluate
x = 21.4
Triangle 2
The value of x is calculated using the following tangent ratio
tan(x) = 8/5
Evaluate the quotient
tan(x) = 1.6
Take the arc tan of both sides
x = arctan(1.6)
Evaluate
x = 58
Triangle 3
The value of x is calculated using the following tangent ratio
tan(x) = 0.34/0.15
Evaluate the quotient
tan(x) = 2.27
Take the arc tan of both sides
x = arctan(2.27)
Evaluate
x = 66
How to calculate the angles of the rhombus?The lengths of the diagonals are:
L1 = 2 in
L2 = 5 in
Represent the angles with x and y.
The measures of the angles are calculated using the following tangent ratios
tan(0.5x) = 2/5 and y = 90 - x
Evaluate the quotient
tan(0.5x) = 0.4
Take the arc tan of both sides
0.5x = arctan(0.4)
Evaluate
0.5x = 22
Divide by 0.5
x = 44
Recall that:
y = 90 - x
This gives
y = 90 - 44
Evaluate
y = 46
Hence, the angles in the rhombus are 44 and 46 degrees, respectively
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1. How are solutions, x-intercepts, zeros, and roots of quadratic equations related?
2. What mehods can be used to solve quadratic equations?
Answers
Answer: The roots are the x-intercepts! They are the values of x that make the quadratic equal to 0.
2. There are three basic methods for solving quadratic equations: factoring, using the quadratic formula, and completing the square.
Step-by-step explanation:
Answer:
when the quadratic equation is equal to zero (= 0), the x-coordinates of the intercepts are the solutions aka roots.factoring, using the quadratic formula, and completing the square.Step-by-step explanation:
hope this helps
How can 8.34… be written in the form a/b where a and b are integers?
Answers
The decimal value 8.34 written as a ratio of a/b is 417/50
Conversion of decimal to fractionFractions are values written as a ratio of two integers
Given the decimal value 8.34, we are to convert it to a decimal value as shown:
8.34 = 834/100
Write in a simplified form834/100 = 417/50
Hence the decimal value 8.34 written as a ratio of a/b is 417/50
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Given that f(x) = 3x + 4, find 2f(5).
Answers
f(2) = 10
Step-by-step explanation:Calculate
[tex]Substitute\ x=2\ into\ f(x)=3x+4[/tex]
Substitute[tex]f(2)=3\times 2+4[/tex]
Calculate the product or quotient[tex]f(2)=6+4[/tex]
Calculate the sum or difference[tex]f(2)=10[/tex]
I hope this helps you
:)
A six-faced die is rolled .
a)Find the probability of it landin on a value more than 4
b)find the probability of it landing on an even number
Answers
Answer:
[A] 2/6
[B] 1/2
Step-by-step explanation:
Given:
A six-faced die is rolled .
To Find:
Find the probability of it landing on a value more than 4
Find the probability of it landing on an even number
Part A:
Knowing that a six-faced die has six number on it (1,2,3,4,5,6)
Thus, the probability of it landing on an value more than 4 is 2/6.
Because 5 and 6 is more than 4
Part B:
1,3,5 = Odd
2,4,6 = Even
Thus, the probability of it landing on an even number is 3/6 Simplify 1/2 . Which also is 50%.
~Lenvy~
I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS!!!
SOLVE THIS SYSTEM OF EQUATIONS BY USING THE ELIMINATION METHOD.
3x + 2y = 6
-3x + y + 12
the ordered pair of solutions is written in the format (x, y)
([x], [y])
Answers
[tex]3x + 2y = 6[/tex]
[tex] - 3x + y = 12[/tex]
Add the systems:[tex]3x - 3x + 2y + y = 6 + 12[/tex]
[tex]3y = 18[/tex]
[tex]y = \frac{18}{3} = 6[/tex]
Replace y=6 in any equation:[tex]3x + 2y = 6[/tex]
[tex]3x + 2(6) = 6[/tex]
[tex]3x + 12 = 6[/tex]
[tex]3x = 6 - 12[/tex]
[tex]3x = - 6[/tex]
[tex]x = \frac{ - 6}{3} = - 2[/tex]
Pair: ( -2 , 6 )The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 7,200 square meters. What is the perimeter of the track? Use 3.14 for Pi
Answers
Answer:
The perimeter of the track is the two circumferences of the semicircles (when combined, they form one circle, so we can just find the circumference of the circle) added to the lengths of the rectangle (160 meters).
To find the circumference of the circle, we need to know the diameter.
Circumference of a circle: dπ or 2rπ, where d represents diameter and r represents radius
The diameter of the circle happens to be the same as the width of the rectangle. We know that the area of a rectangle is found by multiplying its length by its width. We know that the area is 14400 and that its length is 160.
Width: area divided by length
14400160=90
The diameter of the circle and the width of the rectangle is 90 meters.
Circumference:
90⋅π=90π→ If you are using an approximation such as 3.14 for π, multiply that by 90
Add 160⋅2 to the circumference since the lengths of the rectangle are also part of the perimeter.
160⋅2=320
The perimeter of the track is 548.4 meters.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
Given that, the area of the rectangle is 7,200 square meters.
From the figure, length of a rectangle = 120 meter
Here, area of rectangle = Length×Width
120×Width=7200
Width = 60 meter
So, diameter of semicircle is 60 meter.
Radius = 30 meter
Perimeter of track = Perimeter of rectangle + Circumference of two semicircle
= 2(120+60)+2πr
= 360+2×3.14×30
= 360+188.4
= 548.4 meters
Therefore, the perimeter of the track is 548.4 meters.
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Please help with an explanation of how you found the answer because I am really confused. I will mark brainliest for best answer!
Answers
Answer:
The answer is A
Step-by-step explanation:
The minimum is 52 and the maximum is 65 therefore B and C are false.
Data set total number is 13 D medium is 56
so A is the correct answer
6
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give your answer as an improper fraction in its simplest
Answers
6x + 8 < 3x + 4
6x - 3x < 4 - 8
3x < -4
x < - 4/3
Answer:
-4/3
Step-by-step explanation:
Find the sum of the following polynomials
(3x^3+ 8x^2– 3) + (7x^3- 4x + 4)
Answers
Answer:
10x^3+8x^2-4x+1 is answer
Question 9 of 10
The vertex of this parabola is at (-1,-3). Which of the following could be its
equation?
(-1,-3)
O A. x = -2(y + 3)2-1
O B. x= -2(y-3)2-1
O c. x=-264 - 1)2-3
O D. x= -2(y + 1)2-3
Answers
Answer:
A is the answer
// x = -2(y + 3)2-1
Jerome is cooking dinner. He needs 8 ounces of broccoli for each person.
Part A: Jerome is not sure how many people will come to dinner. Write an expression with a variable that represents the amount of broccoli Jerome needs for dinner. Identify what the variable represents.
Part B: If Jerome has 32 ounces of broccoli, how many people can he feed? Create an equation and show all work to solve it.
Answers
Answer:
Part A: X·8=Y
X represents the amount of people. Multiply X by 8 to see how many (Y) ounces of broccoli will be needed.
4·8=32
Jerome would be able to feed 4 people with 32 ounces of broccoli if each person is to get 8 ounces.
Step-by-step explanation:
What is the volume of the square pyramid?
Answers
Answer:
you can solve by using the formula
volume = length x width x height
(I'm also bad at math so sorry if this isn't very helpful)
Step-by-step explanation:
1 all the bases are the same which means your length and width should be 5m
2 just multiply 5 x 5 x 14.2 and that should give you the awnser
help me please. lesson 9.3 converse if the pythagorean theorem
Answers
Answer:
acute
Step-by-step explanation:
Here are some helpful rules that will help you out in the future with these questions.
If...
a^2 + b^2 = c^2 its a right triangle
a^2 + b^2 < c^2 its obtuse
a^2 + b^2 > c^2 its acute
so...
Since 6+8>10
its acute
6. Didi took out a loan of S12,600 to buy a car. After one month, an interest fee of 0.5% on this
loan is added to what she owes. After the fee is added, she then makes a payment of $200 to
start paying off her loan.
Given that the interest fee will increase what she owes while the payment will decrease what
she owes, how much money does Didi owe after one month
Answers
Answer:
$12,463
Step-by-step explanation:
The amount owed after one month is the sum of the original amount and the interest fee, less the amount paid.
__
The interest fee is 0.5% of $12,600, so is ...
0.005 × $12,600 = $63
After her $200 payment, the amount Didi owes is ...
$12,600 +63 -200 = $12,463 . . . owed after 1 month
Mathh question helppp
Answers
Answer:
60% test score
Step-by-step explanation:
When x is 6, y is 60
What are the x-intercepts of ? f(x)=x3+4x2-9x-36? A. (1,0),(2,0),(3,0) B. (-1,0),(2,0),(18,0) C. (-6,0)(2,0)(3,0) D.(-4,0),(-3,0)(3,0)
Answers
Answer:
D. (-4,0),(-3,0)(3,0)
Step-by-step explanation:
Suppose that the objective function coefficient for product C increases by $8. What impact will this have on the current values of the optimal solution
Answers
When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
What is an objective function?An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
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Rachel has a coupon for 15% off any
two pairs of earrings at one of her
favorite stores. If each pair of
earrings that she purchased cost
$12.99, and the sales tax in her state
is 6.5%, then what is the total
amount she spent after using her
coupon?
Answers
Answer:
Total Payment: $23.52
Savings: $4.15
Tax: $1.44
A middle school took all of its 6th grade students on a field trip to see a ballet. The
students filled 702 seats, leaving 35% vacant. How many total seats were in the
theater?
Answers
By working with percentages, we will see that there are 1,080 seats in the theater.
How many total seats were in the theater?
We know that the students filled 702 seats, leaving 35% vacant.
Then 702 seats represents the (100% - 35% = 65%) of the total number of seats.
So, if the total number of seats is S, we can write:
(65%/100%)*S as the 65% of S.
Then we solve:
(65%/100%)*S = 702
0.65*S = 702
S = 702/0.65 = 1,080
There are 1,080 seats in the theater.
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Find the geometric mean between 6 and 21.
Answers
Answer:
13.5
Step-by-step explanation:
That is the mean between 6 & 21