Solution:
5x^-2
5 * x^-2
5 * 1/x^2
5/x^2
Best of Luck!
The given expression without negative exponent is [tex]\frac{5}{x^2}[/tex]
Exponents and indicesGiven the indices expression
5x^-2
We are to express with the negative exponent:
According to the indices expression
[tex]x^{-n}=\frac{1}{x^n}[/tex]
Hence the given expression is [tex]\frac{5}{x^2}[/tex]
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Which two operations are needed to write the expression that represents “eight more than the product of a number and two”?
Answer:
c
Step-by-step explanation:
Solve the following equation. 6x−15=4x+55 6 x − 15 = 4 x + 55
Answer:
x = 35
Step-by-step explanation:
Solve for x:
6 x - 15 = 4 x + 55
Hint: | Move terms with x to the left hand side.
Subtract 4 x from both sides:
(6 x - 4 x) - 15 = (4 x - 4 x) + 55
Hint: | Combine like terms in 6 x - 4 x.
6 x - 4 x = 2 x:
2 x - 15 = (4 x - 4 x) + 55
Hint: | Look for the difference of two identical terms.
4 x - 4 x = 0:
2 x - 15 = 55
Hint: | Isolate terms with x to the left hand side.
Add 15 to both sides:
2 x + (15 - 15) = 15 + 55
Hint: | Look for the difference of two identical terms.
15 - 15 = 0:
2 x = 55 + 15
Hint: | Evaluate 55 + 15.
55 + 15 = 70:
2 x = 70
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides of 2 x = 70 by 2:
(2 x)/2 = 70/2
Hint: | Any nonzero number divided by itself is one.
2/2 = 1:
x = 70/2
Hint: | Reduce 70/2 to lowest terms. Start by finding the GCD of 70 and 2.
The gcd of 70 and 2 is 2, so 70/2 = (2×35)/(2×1) = 2/2×35 = 35:
Answer: x = 35
The perimeter of a rectangular concrete slab is 106 feet and its area is 570 square feet. What is the length of the longer
side of the slab?
Answer:
The length of the long side of the rectangle is 38 ft.
Step-by-step explanation:
If we test out all possible factors, we will see that 15 x 38 is the most fitting.
Perimeter: 15 + 15 + 38 + 38 = 106 ft.
Area: 15 x 38 = 570 square ft.
38 ft. is the measurement of the long side and 15 ft. is the measurement of the smaller side.
Answer:
38 Feet is the simple answer
Step-by-step explanation:
hope i helped
what type of numbers can be written as a fraction p/q, where p and q are integers and q is not equal to zero
Answer:
rational number
Step-by-step explanation:
The description is of the set of numbers called the "rational numbers."
A rational number is a fraction of integers that when divided, you either get an integer, a terminating decimal, or a non-terminating, repeating decimal.
Solve the equation. Check the solution. 8 - 6x - 5 - 4x = 5 Type an integer or a simplified fraction
Answer:
x = -0.2
Step-by-step explanation:
In this problem, an equation is given as follows :
8- 6x - 5 - 4x = 5
We need to solve the above equation
Taking like terms together:
-6x-4x=5+5-8
-10x=2
x = -0.2
So, the value of x is -0.2.
Solve the equation,
m + 55 +1 = m
=
Steps to solve:
m + 55 + 1 = m
~Simplify
m + 56 = m
~Subtract m to both sides
56 = 0
No solution
Best of Luck!
Answer:
no solution
In-depth explanation:
Hi there, let's solve this equation.
For now, I will focus on the left side & combine the like terms:
[tex]\tt{m+55+1=m}[/tex]
[tex]\tt{m+56=m}[/tex]
Subtract 56 from each side:
[tex]\tt{m=m-56}[/tex]
Subtract m from each side:
[tex]\tt{m-m=-56}[/tex]
[tex]\tt{0=-56}[/tex]
Therefore, the equation has no solution.
3n-5=-8(6+5n) in distributive property
Answer:
n=-1
Step-by-step explanation:
3n-5=-8(6+5n)
3n-5=-48-40n
add 40n to both sides
43n-5=-48
n=-1
Using distributive property we can expand the expression as
3n - 5 = -8 x 6 + (-8) x 5n
To apply the distributive property to the equation
3n - 5 = -8(6 + 5n), we need to distribute the -8 to the terms inside the parentheses.
Using the distributive property, we have:
3n - 5 = -8 x 6 + (-8) x 5n
Simplifying further:
3n - 5 = -48 - 40n
Now, we can continue solving the equation using the simplified form as
3n + 40n = -48 + 5
43n = -43
n= -1.
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§
A scuba diver is 4 2/3 feet below the
surface of the water. She then dives another 2 1/2 feet. How far below the surface of the water is the scuba diver.
Answer:
-7 1/6
Step-by-step explanation:
it wants to know how far BELOW the sea level she is so you take both of the factions and add them -4 2/3 + -2 1/2 = -7 1/6
Ordering Rational Numbers
0.32, 3/55 0.31
Answer:
0.31<0.32<33/55
Step-by-step explanation:
33/55=0.6
=> 0.31<0.32<0.6
Consider the following geometry problems in 3-space Enter T or F depending on whether the statement is true or false.1. Two planes parallel to a third plane are parallel 2. Two lines parallel to a plane are parallel 3. Two lines orthogonal to a third line are parallel 4. Two lines parallel to a third line are parallel 5. Two planes parallel to a line are parallel 6. Two lines orthogonal to a plane are parallel 7. Two lines either intersect or are parallel 8. Two planes either intersect or are parallel 9. Two planes orthogonal to a line are parallel 10. A plane and a line either intersect or are parallel 11.Two planes orthogonal to a third plane are parallel
Answer:
Step-by-step explanation:
1) Two planes parallel to a third plane are parallel - True
2) Two lines parallel to a plane are parallel - False
3) Two lines orthogonal to a third line are parallel - False
4) Two lines parallel to a third line are parallel - True
5) Two planes parallel to a line are parallel - False
6) Two lines orthogonal to a plane are parallel - True
7) Two lines either intersect or are parallel - False
8) Two planes either intersect or are parallel - True
9) Two planes orthogonal to a line are parallel - True
10) A plane and a line either intersect or are parallel - True
11) Two planes orthogonal to a third plane are parallel - False
Imagine a spherical cell with a radius of 10 pm. What is the cells surface area in pm2? Its volume, in pm3? What is the ratio of surface area to volume for this cell? Now do the same calculations for a second cell, this one with a radius of 20 pm. Compare the surface-to-volume ratios of the two cells. How is this comparison significant to the functioning of cells? (Note. For a sphere of radius r, surface area = 4rcr2 and volume = rrr3. Remember that the value of it is 3.14.)
Answer:
comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.
Step-by-step explanation:
For the cell with radius r = 10 pm
The surface area is from the area of a sphere
Area A = [tex]4\pi r^{2}[/tex]
A= 4 x 3.14 x [tex]10^{2}[/tex] = 1256 pm^2
volume is calculated from the volume of a sphere
Volume V = [tex]\frac{4}{3}\pi r^3[/tex]
V = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]10^{3}[/tex] = 4186.67 pm^3
Ratio of surface area to volume = 1256/4186.67 = 0.29
For the second cell with radius r = 20 pm
The surface area of the cell is
A = [tex]4\pi r^{2}[/tex] = 4 x 3.14 x [tex]20^2[/tex] = 5024 pm^2
Volume = [tex]\frac{4}{3}\pi r^3[/tex] = [tex]\frac{4}{3}[/tex] x 3.14 x [tex]20^{3}[/tex] = 33493.3 pm^3
Ratio of surface area to volume = 5024/33493.3 = 0.15
comparing the two cells, we can see that the surface area to volume ratio gets smaller as the cell gets bigger, making it harder for optimum amount of material that is needed to sustain the cell to cross the cell membrane. If a cell should grow beyond a certain limit, enough material will not be able to cross the membrane to nourish the cellular volume.
What is the value of x in the proportion ?
Answer:
Step-by-step explanation:
1.5x = 9/4 x 18/5
1.5x = 81/10
1.5x = 8.1
x = 5.4 = 5 2/5
Choice #2 is the option
The formula rho equals m over V, where ρ = density, m = mass, and V = volume, is used to calculate density. Solve this formula for m.
Answer: A
Step-by-step explanation:
The formula for mass , m= ρ* V
What is Density?Density, mass of a unit volume of a material substance.
The formula for density is d = M/V, where d is density, M is mass, and V is volume.
Given:
ρ = m/V
where
ρ = density, m = mass, and V = volume.
So, for solving for m we have
m= ρ* V
Hence, formula for mass , m= ρ* V.
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What is the defining quality of an organic compound? It must be comprised entirely of carbon and hydrogen atoms. It must be part of a living being. It must contain carbon. It must be in solid form.
Answer:
It must contain carbon.
Step-by-step explanation:
get it right on test.
Answer: it must contain Carbon.
Step-by-step explanation: If a compound doesn’t contain carbon, it isn’t an organic compound
Use area models to multiply
Answer:
195
Step-by-step explanation:
13*15=195
How do we know if the line y=x has a postive slope?
3/4 and 1/6 whats the least common denomiator
Answer:
The lowest common denominator or least common denominator (abbreviated LCD) is the least common multiple of the denominators of a set of fractions. It is the smallest positive integer that is a multiple of each denominator in the set. Fractions write with fraction bar / like 3/4 .
Step-by-step explanation:
The total of 8 and the product of x and 2
Answer:
8+2x
Step-by-step explanation:
A card is drawn from a standard deck of 52 playing cards. Find the probability that the card is a Jack or a Club.
Answer:
3/13 or 23.1%
Step-by-step explanation:
Graph y = – 3x + 6 using the interactive graphing calculator. Which of the following statements are true?
The line increases from left to right.
The line crosses the x-axis at –3.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
The line does not enter quadrant II at all.
The point (3.5, –4.5) lies on
The correct statement is line crosses the y-axis at 6 and the input increases, the output decreases.
It is required to choose the following statements are true.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers
Given:
The given line equation are
y=-3x+6
We have to find the which statement is true.
The line crosses the y-axis at 6.
As the input increases, the output decreases.
Therefore, the correct statement is line crosses the y-axis at 6 and the input increases, the output decreases.
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The graph of the equation is y = -3x + 6 and is plotted
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = -3x + 6
where the slope of the line is m = -3
Now , The line crosses the y-axis at 6:
True. To find the y-intercept, we set x = 0 and solve for y: y = -3(0) + 6. This gives y = 6. Therefore, the line crosses the y-axis at y = 6.
As the input increases, the output decreases:
True. Since the coefficient of x is negative, as x increases, the output y decreases.
Hence , the equation of line is solved
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Evaluate 2 – 10+ 8- (-2).
Steps to solve:
2 - 10 + 8 - (-2)
~Simplify
2 - 10 + 8 + 2
~Subtract
-8 + 8 + 2
~Add
0 + 2
~Add
2
Best of Luck!
Answer:
2
Step-by-step explanation:
first you do this first (-2) then the 2 - is gone then 10 + 8- is 2
What percent of 52 is 12 ? Round your answer to the nearest tenth .
Approximately 23. It is simple, but if you are asking because you don't know how to find it, divide the smaller number by the bigger number. Then, multiply this number by 100.
Hope I helped!
The ______ of a function is the complete set of inputs, whereas the _______ is the set of all outputs
Answer:
Domain, range
Step-by-step explanation:
The domain of a function is the complete set of inputs, whereas the range is the set of all outputs.
Domain= Input
Range= Output
The domain of a function is the complete set of inputs, whereas the range is the set of all outputs.
What are the domain and range of the function?The domain of the function includes all possible x-values of a function, and the range includes all possible y-values of the function.
The domain of a function refers to all the possible input values that can be plugged into a function and produce a valid output. It represents all the values that are allowed as inputs to the function.
The range of a function refers to all the possible output values that can be produced by the function. It represents the set of all values that the function can produce as outputs, given the inputs from the domain.
So, the domain represents the set of all possible inputs to the function, and the range represents the set of all possible outputs of the function.
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At the beginning of the year, Ivanhoe Company had total assets of $715,000 and total liabilities of $258,000. Answer the following
independent questions.
(a) If total assets increased $145,000 during the year and total liabilities decreased $83,000, what is the amount of owner's equity at
the end of the year?
Owner's equity
$
Answer:$685000
Step-by-step explanation:
Add the total asset withe increased asset. Subtract the decreased liability by the total Liability. Subtract both of the answers.
m and n are both integers. Select all the statements that are true if m and n are also equal to each other.
m-n=n-m
m+ (n) = m-n
o= m-n
m + n = 0
Answer:
a,c
Step-by-step explanation:
the function y=-x^2+2x-3 has a value of
Find the value of x by factoring.
What multiplies to -3 and adds to 2?
[tex]y=(x+3)(x-1)[/tex]
Meaning that the x-intercepts are at (-3,0) and (1,0).
Hope this helps.
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Jamie makes plates and bowls. She needs to ship 48 plates and 54 bowls to a store. She wants to ship the same number of items in each box. Plates and bowls are shipped separately. A.What is the greatest number of items she can ship in each box?
Answer: 6
Step-by-step explanation:
Given, Jamie needs to ship 48 plates and 54 bowls to a store.
If she wants to ship the same number of items in each box such that plates and bowls are shipped separately. .
then the greatest number of items she can ship in each box = GCD (48,54)
[GCD = Greatest common divisor]
Prime factorization of both numbers:
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
Hence, the greatest number of items she can ship in each box =6
Answer:6
Step-by-step explanation:
So here's the problem writen down.
48 = 2 x 2 x 2 x 2 x 3
54 = 2 x 3 x 3 x 3
GCD (48,54)= 2 x 3 = 6
The ratio of cars in a parking lot is 8 to 5 trucks. There are 25 trucks in the parking lot. How many total cars and trucks are in the parking lot?
What is the value of X
Answer:
x = 7
Step-by-step explanation:
The 2 angles add up to 180°, as the definition of a line.
8x - 46 + 10x - 8 = 180
18x - 54 = 180
18x = 126
x = 7
How long will it take to walk 6 km if your speed is 2.0 km/hr
Answer:
3 hrs
Step-by-step explanation:
6/2=3 so 3 hours