Simplify (4s5t−7−2s−2t4)3. Write your answer using only positive exponents. Evaluate any numerical powers.
Answers
Answer:
−21
Step-by-step explanation:
=12s5t−6t4−6s−21
(-5s¹²)/ (2t³³) is the Simplified form of the Given equation.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given an equation [tex](\frac{5s^{2}t^{-7} }{-2s^{-2}t^{4} })^{3}[/tex]
Simplifying using PEMDAS
First, we will solve the power
=> (-5/2 s²⁺² t⁻⁷⁻⁴)³
=> (-5/2 s⁴ t⁻¹¹)³
=> (-5s¹²)/ (2t³³)
Therefore, the Simplified notation of the Given equation is (-5s¹²)/ (2t³³).
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Complete question:
Related Questions
solve 3(2x + 1) in standard form
Answers
= 6x +3
Hope this helps!! :)
Answer:
3(2x+1)= 6x+3
Step-by-step explanation:
Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3
At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?
Answers
Answer:
2
Step-by-step explanation:
Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6
Part 1:
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Part 2:
If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item.
Answers
Answer:
Part 1 : y = 0.75x
Part 2 : $750
Step-by-step explanation:
Part 1
Worst Buy, a local electronics store, advertises a sale price of 25% off all televisions 42" or bigger. Model the sales price (original price minus discount) of those televisions, y, as a function of the regular price of the tv, x.
Let y be the sales price of the tv and x its regular price. Since its sales price = regular price - discount, and our discount is 25% of the sales price, that is 0.25x, we have
sales price = regular price - discount
y = x - 0.25x
y = 0.75x
Part 2: If the regular price of a 60" television is $1000, use the equation you came up with in part 1 to find the sales price of the item
Since the sales price, y = 0.75x,and x = regular price = $1000,
substituting x into y, we have
y = 0.75x
y = 0.75($1000)
y = $750
What is the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6
Answers
Answer: 2/3
Step-by-step explanation:
In the number cube, the possible numbers that can be gotten when it is rolled are 1, 2, 3, 4, 5 and 6.
We should note that when 2 or 4 is not rolled, there'll be 4 other numbers which can be rolled and they're 1, 3, 5 and 6.
Therefore, the probability of not rolling a 2 or 4 on a number cube having sides labeled with numbers 1-6 will be 4/6. This can be further reduced to 2/3
I need help with this math problem on get more math the photo is at the top
Answers
Answer:
30
Step-by-step explanation:
6x5=30 Just took the test and got 100%
Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year. Which of the following functions best models this situation?
f(x)=23,540(1.05)xf of x is equal to 23 comma 540 times 1 point 0 5 to the x th power
f(x)=23,540(0.95)xf of x is equal to 23 comma 540 times 0 point 9 5 to the x th power
f(x)=−23,540(1.05)xf of x is equal to negative 23 comma 540 times 1 point 0 5 to the x th power
f(x)=−23,540(0.95)x
Answers
The function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
What is function?A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given that, Andy buys a new car for $23,540. He estimates that the new car will decrease in value by about 5% each year.
The depreciation rate =
A = P(1-r)ⁿ
Where, A = amount final
P = initial amount
r = rate and n = number of the years
Therefore,
The depreciation rate =
f(x) = 23540(1-0.05)ˣ
f(x) = 23540(0.95)ˣ
Hence, the function that best models the situation is f(x) = 23540(0.95)ˣ, where x is the number of years.
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3) Slope = 4, passing through (-1,5)
Slope
Answers
explanation using point grade formula y
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50 points! Look at the picture attached. I will mark brainliest
Answers
Answer:
Step-by-step explanation:
The small triangle is similar to the triangular face. Its side edges are half the length of the side edges of the face, so its base is half the length of the face.
2*58 ft = 116 ft
The length of the base of the pyramid is 116 ft.
Can someone please help me with math.
Answers
Answer:
13.C
14.C
Step-by-step explanation:
Hello There!
For 13
The question is asking, which percentage would Darian most likely receive if he had studied for 9 hours.
The line of best fit would be used to determine the percentage he would most likely score based on the amount of hours he studied
Looking at the line of best fit we notice that at 9 hours Darian would most likely score a 78% on the test
Thus the answer is C
For 14
The question want you to find the graph that has a constant rate of change and has a y intercept of (0,0) so essentially
The question is asking "which graph best represents a proportional relationship."
If a relation is proportional it would have a straight line and it would go through the origin (0,0)
Looking at C we notice that the line is straight ( meaning it has a constant rate of change) and it also goes through the origin therefore C is your answer
The Adams family bought a small piece of land in the hill country. The plot is in the shape of a rectangle and measures about 50 yards by 41 yards. What is the area of the plot?
Answers
Given:
The dimensions of a rectangular plot are 50 yards by 41 yards.
To find:
The area of the plot.
Solution:
We know that, the area of a rectangle is
[tex]Area=Length\times width[/tex]
So, the area of the rectangular plot is:
[tex]Area=50\times 41[/tex]
[tex]Area=2050[/tex]
Therefore, the area of the rectangular plot is 2050 square yards.
which of the following equations is quadratic?
A. x( x² + 1) = 0
B. 5(4x + 2) = 3
C. (x + 3)(x + 4) = 5
Answers
There are 12 girls at a slumber party. 2/3 of the girls brought a sleeping bag. How many girls brought a sleeping bag?
Answers
Answer:
8 girlies
Step-by-step explanation:
12/3=4
4x2=8
Answer:
8
Step-by-step explanation:
since there are 12 girls we have an x amount of girls who brought sleeping bags and 12-x for those who didn't. so
x/12=2/3
multiply both sides by 12
(x/12)12=(2/3)12
x=8
Hope that helps :)
Plsss help this is hard for me
Answers
Area is 153.94 the formula is A= nr to the power of two
JLK ~ PQR Find the value of x.
Answers
Answer:
12
Step-by-step explanation:
if their similar then find the proportion with a cross multiplication equation
x/36 = 13/39
x*39 = 36*13
39x = 468
x = 468/39
x = 12
Answer:
x = 12
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{JL}{PQ}[/tex] = [tex]\frac{JK}{PR}[/tex] , substitute values
[tex]\frac{x}{36}[/tex] = [tex]\frac{15}{45}[/tex] = [tex]\frac{1}{3}[/tex] ( cross- multiply )
3x = 36 ( divide both sides by 3 )
x = 12
If x and y vary inversely and x = 1 when y = 11, find x when y = 5.5.
Answers
Answer:
x = 2.
Step-by-step explanation:
y = k/x
11 = k/1
so k = 11
y = 11/x
When y = 5.5:
5.5 = 11/ x
x = 11/5.5
= 2.
The values of x and y vary inversely, if the value of y is 5.5 then the value of x will be equal to 2.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtracting, multiplying, and dividing two or more numbers. Included is the study of integers, especially the order of operations, which is essential for all other aspects of mathematics, notably algebra, information management, and geometry.
As per the information provided in the question,
y = k/x
11 = k/1
k = 11
y = 11/x
If y = 5.5,
5.5 = 11/ x
x = 11/5.5
x = 2.
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A ship travels 200 km west from port and then 240 km due south before it is disabled. Illustrate this in a vector diagram. Use trigonometry to find the course that a rescue ship must take from port in order to reach the disabled ship.
Answers
The course that a rescue ship must take from port in order to reach the disabled ship is 312.4 km at a direction of 50.2⁰.
Sketch of the ship's motionThe sketch of the journey of the ship can be used to determine the course that a rescue ship must take from port in order to reach the disabled ship.
<-------- 200 km-------
|
| 240 km
↓
Displacement of the shipThe displacement of the ship from the initial position is calculated as follows;
d² = 200² + 240²
d² = 97,600
d = √97,600
d = 312.4 km
Direction of the displacementtanθ = 240/200
tanθ = 1.2
θ = tan⁻¹(1.2)
θ = 50.2⁰
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C'mon people! For the function g(x) = 2x2 – 19, what is the difference quotient?
A. 2h; h ≠ 0
B. 2x + 2h; h ≠ 0
C. 4x + 2h; h ≠ 0
D. 4x + 2h – 19; h ≠ 0
Answers
Answer:
C. 4x + 2h; h ≠ 0
Step-by-step explanation:
Step-by-step explanation:
A 2-column table with 6 rows. Column 1 is labeled x with entries 1.99, 1.999, 1.9999, 2.0001, 2.001, 2.01. Column 2 is labeled f (x) with entries 0.505, negative 0.827, 0.306, negative 0.306, 0.827, negative 0.506.
Find Limit of f (x) as x approaches 2 f(x), if it exists.
2
0.3
0
DNE
what is 5(2x - 7) = step by step equation need please and thank you
Answers
= (5)(2x+-7)
= (5)(2x)+(5)(-7)
= 10x - 35
please help asap.1-5.
Answers
2) n/-7
3)y+(-4)
4)add +8 to the right side
5) divide 5 from the right side
Sry if some on them are wrong
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answers
Answer:
I think C. because that will be easier and less chaotic
13.2 inches is 27.5% of what number?
Answers
Answer:
48
My explanations is:
13.2:27.5*100 =
(13.2*100):27.5 =
1320:27.5 = 48
Carlos is making hats for his friends. He has 2 balls of yarn. He uses 1/3 of a ball for each hat. How many hats can Carlos make
Answers
Answer:
he can make 6 hats
Step-by-step explanation:
pleae answer this fast asap
Answers
Answer:
I think its (2, 1) .
Step-by-step explanation:
the 2 represents the x axis
the 1 represents the y axis
a triangle has two sides of length 2 & 6, what’s the smallest possible whole number length for the 3rd side
Answers
Answer:
2
Step-by-step explanation:
2 is the smallest you can get fir it to be a proper triangle
what does -5 3/4 -3 1/2 equal
Answers
Answer:
Step-by-step explanation:
-9 1/4 is the aswer
what is the value of w
Answers
I think its 2..........
City A: {2, 2.5, 4, 4.5, 3, 2.5} City B: {6, 4, 1.5, 3.5, 2, 4} (c) What is the median for each city? Show your work. City A: City B:
Answers
Answer:
to find the median you have to put the set in order and find the middle number (ex: 1,2,3,4,5,6,7,8,9 the median of this would be 5)
Step-by-step explanation:
City A: 2,2.5,2.5,3,4,4.5
The median has 2 number so you'd add them up and divide by 2.
2.5 + 3 = 5.5
5.5/2= 2.75
i dont know if you need it as a fraction
City B: 1.5,2,3.5,4,4,6
3.5+4 = 7.5
7.5/2 = 3.75
Median for city A: 2.75
Median for city B: 3.75
Sue has 18 sweets.
Tony also has 18 sweets.
Sue gives Tony x sweets.
Tony then eats half of his sweets.
Write expressions for the number of sweets Sue and Tony now have.
Answers
Answer:
Sue = 18-x
Tony = (18+x)/2
Step-by-step explanation:
Sue donates x amount of sweets
Tony receives x amount of sweets then eats half of them.
need answers asap pls bae<3
ill mark you the whatever if you answer bae
Answers
Answer: Justin is shown in 15 pictures with friends, 6 with family, and 8 with only him
Step-by-step explanation: Hope this helps :)
6=x/4
I really need help with this
Answers
Answer:
x=24
Step-by-step explanation: