After performing the simplification process we get the answer as 1052668 or 1.025668 × 10⁶
Some "fixing" difficulties involve simplifying. Parentheses and even nested grouping symbols can be found in some equations, just like they can in some expressions. Whether we're working with equations (so we're also solving), or expressions (and only simplifying), the simplification procedure is the same in both cases.
Given the expression is m 4(m² ₋ 2) and
the value of m = ₋513
substitute the value of m in the expression.
4 ×((₋513)² ₋ 2)
Determine the sign for radical or exponential expressions
4×(513² ₋ 2)
calculate the power.
4 × (263169 ₋ 2)
calculate the sum or the difference.
4 × 263167
after multiplication we get the answer as:
1052668
can also be written as 1.052668 × 10⁶
Hence we gained the desired result.
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Can someone help me with this problem from Khan Academy?
Given that the graph shows P as a function of n, we have:
a. The more hot dogs that is sold, his profit increases.
b. Jimmy sells the hot dog for $1 each.
c. Jimmy needs to sell 16 hot dogs to recover the $8 he invested.
d. He would make a profit of $7.
e. The number of hot dogs he needs to sell is: 20.
What is a Linear Function?A linear function is expressed as, y = mx + b, where y is a function of x, m is the unit rate, and b is the starting value or initial value of the function.
We are given that profit, P, is a function of the number of hot dogs sold, n.
a. The graph of the function slopes upwards, so this means that the more hot dogs that is sold, his profit increases.
b. Cost of 1 hot dog = Unit rate = change in y / change in x = 2 units/2 units
Cost of 1 hot dog = Unit rate = 1
Thus, Jimmy sells the hot dog for $1 each.
c. If you trace profit (P) on the graph when it is $8, the corresponding number of hot dogs, n, would be 16.
So, Jimmy needs to sell 16 hot dogs to recover the $8 he invested.
d. When n = 15, P, from the graph would be 7.
Thus, if Jimmy sells 15 hot dogs, he would make a profit of $7.
e. When P = 12, from the graph, the corresponding n value is 20.
Therefore for Jimmy to make $12, the number of hot dogs he needs to sell is: 20.
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Simplify all ratios and keep them as improper fractions
If arc cos = -8/17 and arc sin is negative, then arcsin is _____ and arctan is ______
To find arcsin, we need to use the identity:
sin(arcsin(x)) = x
Since arcsin is negative, sin(arcsin) is also negative. Therefore, we can say:
sin(arcsin) = -sqrt(1 - (cos)^2)
where (cos)^2 = 8/17
Substituting, we get:
sin(arcsin) = -sqrt(1 - (8/17))
Simplifying, we get:
sin(arcsin) = -sqrt(17/17 - 8/17)
Simplifying further, we get:
sin(arcsin) = -sqrt(9/17)
Therefore, arcsin = -sqrt(9/17)
To find arctan, we need to use the identity:
tan(arctan(x)) = x
Substituting, we get:
tan(arctan) = -8/17
Therefore, arctan = -8/17
So, arcsin is -sqrt(9/17) and arctan is -8/17.
5000 people attend the football game. 2350
Of the people attending, supported the home team, while 2650 supported the visiting team. What percentage of people attending supported the home team?
Answer: 47%
Step-by-step explanation:
2350/5000
= 0.47 x100
47%
Which of the following is the equation of a line with a slope of -5/9
Answer:
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Step-by-step explanation:
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I need help with this plz
Answer:
ln which class's do you are
Find domain Range Y-intercept X- intercept Vertical asymptote Horizontal asymptote Pic attached below note write domain and range in interval notation
Find domain
Range
Y-intercept
Xi intercept
Vertical asymptote
Horizontal asymptote
Pic attached below
The domain and range of the function f(x) = 3/x + 2 are (-∞, 0) ∪ (0, ∞) and (-∞, 2) ∪ (2, ∞). The vertical and horizontal asymptotes are x = 0 and y = 2 respectively
What is the domain and range of a functionIn mathematics, the domain of a function is the set of all possible input values (also known as the independent variable) for which the function is defined. The range of a function is the set of all possible output values (also known as the dependent variable) that the function can produce.
To determine the domain and range of a function, it's important to consider the nature of the function, its graph or formula, and any restrictions that may apply.
The function f(x) = 3/x + 2
The domain of the function is (-∞, 0) ∪ (0, ∞)
The range of the function is (-∞, 2) ∪ (2, ∞)
The x - intercept is (-3/2, 0)
The y - intercept does not exist
The vertical asymptotes is x = 0
The horizontal asymptotes is y = 2
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Two numbers have the same digit in the millions period, the same digit in the thousands period, and the same digit in the ones period. Do these two numbers have the same value? Explain.
Answer:
no . no because they are in different place period
how would I write 6 less than a number
A.6-X
B.6X
C.X-6
D.X/6
Answer:
C) X-6 , In subtracting the first number is greater than the second.
Hope it's help.
What is Set-builder and give example
It is just a way of describing a set.
You put the set in braces (sometimes called curly brackets), {}, which is a typical way to show that you are talking about sets.
Here are a few examples:
{x| x > 0} This is read: The set of all x such that x is greater than 0.
Reading it character by character:
{ — shows you that we are talking about a set, and it sort of opens up, or starts the set
x — tells you that we are talking about a set of elements x
| (and a : is also used sometimes) — such that (this is just notation). This says that you are about to be given to rule to see what “rule” or characteristic the x’s will have.
x > 0 — This just says what characteristics x must have to be in this set. So 7, 1/2, .3 and pi are all in this set, while -1, 0, -radical(2) are not.
So this example is just how you would use set builder notation to talk about the set “the positive real numbers”
So why use it? Because it can describe more complicated sets much more succinctly.
2. {3n + 1 | n is an element of the natural numbers} (and this could be written more succinctly if I used certain symbols) would be the set {4, 7, 10, 13, …}
3. {n^2 + n + 1 | n is an element of the natural numbers} would be the set {3, 7, 13, 21, …} and notice here, if you didn’t see the set builder notation, you might have trouble knowing what the next term in the set was.
Eslynn tracked her speeds and times she cycled on the weekend.
. Saturday, Eslynn traveled at an average speed of 24 miles per hour for 2.5 hours.
. Sunday, Eslynn traveled at an average speed of 30 miles per hour for 1.5 hours.
what was the total distance in miles Eslynn traveled on the weekend?
Answer: 30
Step-by-step explanation:
Example
x=y
x+z=y+z
If we subtract the same number from both sides of an equation, both sides will remain equal.
Example
x=y
x−z=y−z
If we divide both sides of an equation by the same number, both sides will remain equal.
Example
x=y
x÷z=y÷z
If we multiply both sides of an equation by the same number, both sides will remain equal.
x=y
x⋅z=y⋅z
Video lesson
Solve the following expression
4x−7=x3+4
What has no solutions in common with 6x+2y=12
Answer:
-6x - 2y = 12
Step-by-step explanation:
Point G is drawn on the line segment so that the ratio of FG to GH is 5 to 1. What are the coordinates of point G?
Answer:
The correct option is B
The coordinates of point G is (4.5, 5)
Explanation:
Given that point G is drawn so that the ratio of FG to GH is 5 to 1
The are 12 grids between F and H
The share ratio is 5 to 1,
5 + 1 = 6
Divide 12 by 6
12/6 = 2
The point G is 2 grids down from point H
This would be in the coordinate (4.5, 5)
Point K is located at ( 1 , 2 ) on the following coordinate plane. A square that has a perimeter of 20 units will be drawn so that K is one vertex of the square. Which three ordered pairs could represent the location of another vertex of the square? Select the three correct answers.
Three ordered pairs that could represent the location of another vertex of the square are (7, 2), (-5, 2), (1, 8).
To find the possible locations of the other vertices of the square, we need to determine the distance from point K to any other vertex of the square. Since the perimeter of the square is 20 units, each side of the square has a length of 20/4 = 5 units.
One way to find the other vertices is to draw a circle with center at K and radius 5 units, and then look for points on the circle that have integer coordinates. Alternatively, we can use the distance formula to calculate the distance from K to another point (x, y), which must be 5 units, and then solve for y in terms of x.
Using the distance formula, we get:
\(\sqrt{(x-1)^{2} +(y-1)^{2} }\) = 5
Simplifying and squaring both sides, we get:
(x-1)^2 + (y-2)^2 = 25
Expanding the left side and simplifying, we get:
\(x^{2}\) - 2x + \(y^{2}\) - 4y + 20 = 0
Completing the square for x and y, we get:
\((x-1)^{2}\) + \((y-1)^{2}\) = \(6^{2}\)
This is the equation of a circle with center at (1, 2) and radius 6 units. Any point on this circle that has integer coordinates could be a vertex of the square, since it will be exactly 5 units away from K.
Using this method, we can find several possible locations of the other vertices of the square. Three of them are:
(7, 2), (-5, 2), (1, 8)
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Over the past ten years, the population in a small city decreased by 12%, resulting in a current population of 105,000 people. What was the approximate population of the city ten years ago?
Answer:
119400
Step-by-step explanation:
The approximate population of the city was 119400
A student ran a distance of 3 1/2miles each day for 5 days. Then the student ran a distance of 4 1/4 miles each day for the next 5 days. What was the total distance in miles the student ran during these 10 days?
Answer:
To find the total distance, we need to add up the distance the student ran in the first 5 days and the distance the student ran in the next 5 days.
Distance for the first 5 days = 3 1/2 miles/day × 5 days = 17.5 miles
Distance for the next 5 days = 4 1/4 miles/day × 5 days = 21.25 miles
Total distance = Distance for the first 5 days + Distance for the next 5 days
Total distance = 17.5 miles + 21.25 miles
Total distance = 38.75 miles
Therefore, the student ran a total of 38.75 miles during these 10 days.
look at image. plssss help
Answer: B
Step-by-step explanation:
Since the 3 on the outside of the parenthesis is positive, none of the signs change on the inside of the parenthesis when you distribute the 3.
Answer:
The answer is B)
\( \frac{3}{5} x - \frac{3}{7} \)
Ernie Rolph borrowed $6700 at 4% annual simple interest. If exactly 1 year later he was able to repay the loan without penalty, how much interest would he owe? Ernie will owe $___ in interest.
Ernie will owe an interest of $268
What expression is equivalent to 4(-5z+2)+(-6)4(−5z+2)+(−6)
Answer:
option B
Step-by-step explanation:
looked it up ,have a good day !!:3
Does "greater than" sign and "not equal to" sign denote the same thing?
Hello!
The "greater than sign" means one number is greater than the other.
Example: 4>2 (4 is greater than 2)
The "not equal to sign" means one number is not equal to another one.
Example: 15\(\neq\)17 (15 is not equal to 17)
Hope this helps!
~Just a determined gal
#CarryOnLearning
\(MysteriousNature\)
no they dont
greater than sign denotes that the first digit is greater than the other digit
which cost the most per tablet
50 individually wrapped pain reliver talets for 9.50, 100 tablets in a bottle for 6.32 or 500 tablets in a bottle for 13.42
Answer:
It is C. 500 tablets in a bottle for 13.42
Step-by-step explanation:
9.50/50 = 0.19 cents per individually wrapped pain reliver tablets.
6.32/100 = 0.06 cents per tablets in a bottle.
13.42/500 = 0.02 cents per tablets in a bottle.
the square of a number is 3 less than four times the number. which values could be the number?
Answer:
x could be 3 or 1
Step-by-step explanation:
x²+3=4x
x²-4x+3=0
(x-3)(x-1)
x could be 3 or 1
The values could be 1 or 3.
Let the number be n.In this exercise, you're required to write a mathematical (algebraic) expression for the given word problem and determine which values could be the unknown number.
Translating the word problem into an algebraic expression, we have;
\(n^{2} = 4n - 3\\\\n^{2} - 4n + 3 = 0\)
We would solve the quadratic equation by using the factorization method;
\(n^{2} - 3n -n + 3 = 0\\\\n(n - 3) - 1(n - 3) = 0\\\\(n - 1)(n - 3) = 0\)
Therefore, the values could be 1 or 3.
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i need the type of properties
Answers:
Distributive PropertyInverse PropertyIdentity PropertyAssociative PropertyCommutative PropertyMultiplication Property of Zero=========================================================
Explanations:
The distributive property is a*(b+c) = a*b+a*c. We multiply the outer term 'a' by each term inside (b and c), then add up the results. In this specific case, we are multiplying the outer 2 by x and 3. So that's why 2(x+3) = 2x+2*3 = 2x+6. The concept of factoring takes this process in reverse, so we go from 2x+6 to 2(x+3).The inverse property, specifically the additive inverse property, is where we can add any number to its negative counterpart to always get 0. The expression 2+(-2) is the same as 2-2. We can think of it like "we're on the 2nd floor and we go down 2 floors to end up on floor 0". In general, the additive inverse property is x+(-x) = 0, which is the same as -x+x = 0.We can multiply any number by 1, to get the same number. So that's why 1*x = 1x = x. Similarly, x*1 = x as well. This is the multiplicative identity property, often shortened to "identity property".The parenthesis shifted around, so this means we'll use the associative property. In general, that is a+(b+c) = (a+b)+c.We can multiply two numbers in any order. The general format is a*b = b*a. This is the commutative property of multiplication. The version for addition is a+b = b+a.Multiplying 0 by any number leads to 0. So we could have the most complicated expression thought possible, but if we multiply it by 0, then the whole thing goes to 0. At the end of this complicated expression is where the 0 is buried. This idea is useful when it comes to the zero product property where if A*B = 0, then either A = 0 or B = 0 or both are the case.A scuba diver is 30 feet below sea level. She then rises 30 feet. What is the scuba
diver's new position?
Answer:
The scuba diver is at sea level.
Step-by-step explanation:
Hi there!
We're given that the scuba diver is 30 feet below sea level, and then she rises 30 feet.
This means she would be at sea level, not above or below.
You can think of it on a vertical ruler; the scuba diver starts at 0, goes down 30 units and goes back up 30 units. She will end up at 0 again, which in this case is sea level.
I hope this helps!
Three people spend money on a vacation. The expression −1,0263 represents the amount of money each person spends on the vacation. Which expression is equivalent to −1,0263 ?
Answer:-(-1,026/3
Step-by-step explanation:
The factored form of 5 x squared minus 18 x minus 8 is __________
The factored form is (5x+2)(x-4).
What is factorization?
A number, matrix, or polynomial may be broken up or decomposed into factors that, when multiplied together, produce the original number, matrix, etc. This process is known as factorization or factoring.
Here, we have
Given: 5 x squared minus 18 x minus 8
we have to find the factored form.
= 5x² - 18x - 8
= 5x² - 20x + 2x - 8
= 5x(x-4) + 2(x-4)
= (5x+2)(x-4)
Hence, the factored form is (5x+2)(x-4).
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Find g(x), where g(x) is the translation 2 units left and 4 units down of f(x)=x^2.
Write your answer in the form a(x–h)^2+k, where a, h, and k are integers.
g(x) =
The function g(x) in the form a(x-h)^2 + k is: \(g(x) = (x + 2)^2 - 4\)
Starting with\(f(x) = x^2\), the translation 2 units left and 4 units down would result in the following transformation:
g(x) = f(x + 2) - 4
Substituting\(f(x) = x^2:\)
\(g(x) = (x + 2)^2 - 4\)
Expanding the square:
\(g(x) = x^2 + 4x + 4 - 4\)
Simplifying:
\(g(x) = x^2 + 4x\)
Now we need to rewrite this expression in the form \(a(x-h)^2 + k.\) To do this, we will complete the square:
\(g(x) = x^2 + 4x\\g(x) = (x^2 + 4x + 4) - 4\\g(x) = (x + 2)^2 - 4\)
Therefore, the function g(x) in the form a(x-h)^2 + k is:
\(g(x) = (x + 2)^2 - 4\)
Where a = 1, h = -2, and k = -4.
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which is it? please help me and i will give brainliest
Answer: A, 1/2
Step-by-step explanation:
he is simply using 1 cup of bs for each cup of ws so when you do it its i cup of ws then its hald of 1 bs
Answer:
it is 1/2 i.e. the first option
this is simple ratio method;
white : brown
2 : 1
1 : x
x = 1/2 cups
Hope this helps!
I would really appreciate if you mark me brainliest as I have been trying to get there for a veryyy long time now :)
4. Find the areas of the sectors formed by ZACB.
D
2 m,
C 101°
A
B
so I guess is getting the area of both sectors, hmmm, ok, well, one sector is 101° and the other must be 259°, both have a radius of 2.
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =101 \end{cases}\implies A=\cfrac{(101)\pi (2)^2}{360}\implies A\approx 3.53~m^2 \\\\[-0.35em] ~\dotfill\)
\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=2\\ \theta =259 \end{cases}\implies A=\cfrac{(259)\pi (2)^2}{360}\implies A\approx 9.04~m^2\)
How many squares are in the 11 squares
Answer:
11 Squares are there in 11 squares
Answer:
11
Step-by-step explanation:
because take your question and realize you put, "How many squares are in the 11 squares?"
(Sry if wrong or information misunderstood!)
Part A (1 point)
Determine the area, in square feet, of one triangular
face of the square pyramid. Show your work or
explain your answer.
Part B (1 point)
Determine the total surface area, in square feet, of the
square pyramid. Show your work or explain your
answer
Answer:
A. 320 ft²
B. 2,304 ft²
Step-by-step explanation:
A. Area of one triangular face = area of triangle = ½*b*h
Where,
b = 32 ft
h = 20 ft
A = ½*32*20 = 16*20
A = 320 ft²
Area of 1 triangular face = 320 ft²
B. Total surface area = area of the 4 triangular face + area of the base of the square pyramid
T.S.A = 4(320) + (s²)
Where,
s = 32 ft
T.S.A = 4(320) + (32²)
T.S.A = 1,280 + 1,024
= 2,304 ft²