Answers
If b=3, then 3^-2=1/9, and 3^4=81. 1/9÷81= 1/729, which is 3^-6.
You can use any other example you want (I would recommend a calculator)
Related Questions
-6(a+8) using the distributive property
Answers
Answer:
-6a-48
Step-by-step explanation:
-6 x a = -6a
-6 x 8 = -48
-6a-48
Solving:
-6 x a = -6a
-6 x 8 = -48
question 5 (10 points)
Answers
Y intercept = 2
Find the difference of 4.5 x 10 exponent-1 and 2 x 10 exponent -2
Answers
Given expression :
[tex]4.5\times10^{-1}\text{ \& 2}\times10^{-2}[/tex]subtract eah other to find the difference,
[tex]\begin{gathered} 4.5\times10^{-1}-2\times10^{-2} \\ \text{Simplify} \\ 4.5\times10^{-1}-2\times10^{-2}=\frac{4.5}{10}-\frac{2}{10^2} \\ 4.5\times10^{-1}-2\times10^{-2}=0.45-0.02 \\ 4.5\times10^{-1}-2\times10^{-2}=0.43 \\ 4.5\times10^{-1}-2\times10^{-2}=\frac{43}{100} \\ 4.5\times10^{-1}-2\times10^{-2}=\frac{43}{10^2} \\ 4.5\times10^{-1}-2\times10^{-2}=43\times10^{-2} \end{gathered}[/tex]The difference is 43 × 10 exponent -2
To travel the Erie Canal,a boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall .by how much does the elevation of the boat change between Amsterdam and Randall?????
Answers
If boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall . the elevation of the boat change between Amsterdam and Randall is 31 feet.
Elevation boat changeGiven :
Boat lowered at Amsterdam = - 12 feet
Boat lowered at tribes hill = - 11 feet
Boat lowered at Randall = - 8 feet
Now let calculate or determine the change in boat elevation
Change in elevation = - 12 + ( - 11 ) + ( - 8 )
Change in elevation = - 31 feet or lowered 31 feet
Therefore we can conclude that the change in the elevation boat is 31 feet.
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Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 8 people took the trip. She was able to purchase coach tickets for $250
and first class tickets for $1250. She used her total budget for airfare for the trip, which was $8000. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
Sarah buys 6 tickets for first class and 2 for coach class, finding by using properties of linear equation.
What is linear equation in one variable?
A linear equation which has only one variable is called linear equation in one variable.
Let assume,
Sarah has number of first-class tickets = x
then Sarah has number of coach tickets = 8-x
(Because total tickets she has are 8)
given that
The coach tickets price = $250
The first-class tickets price =$1250
so, from above
[tex]\begin{array}{l}1250 \mathrm{x}+250(8-\mathrm{x})=8000 \\1250 x+250(8)-250(x)=8000 \\1250 x+2000-250 x=8000 \\1250 x-250 x=8000-2000 \\1000 x=6000 \\x=\frac{6000}{1000} \\x=6\end{array}[/tex]
Therefore, Sarah buys 6 tickets for first class and 2 for coach class.
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is 1/8 a rational number? explain your reasoning
Answers
The number given as 1/8 is a rational number
How to determine the true statement?The number is given as
Number = 1/8
As a general rule, a rational number is represented as
Rational number = Numerator/Denominator
This in other words means that
A rational number can be represented as a fraction of two integers
In this case, we have
Numerator = 1
Denominator = 8
This means that the given number is 1 rational number
This is because it can be represented as a fraction of two integers
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Hey can somebody help me with this math homework you have to solve it step by step so can anybody help?
Answers
symkiiiussksznzznzznzbswwy
Describe the Method and Operation
Answers
Given that
[tex]\begin{gathered} (\frac{5n^6}{m^{-3}n^2})^2 \\ \text{According to the law of indies,} \\ (\frac{a}{b})^2\text{ = }\frac{(a)^2}{(b)^2} \\ (\frac{5n^6}{m^{-3}n^2})\text{ = }\frac{(5n^6)^2}{(m^{-3}n^2)^2} \\ \text{According to the law of indicies again,} \\ (a^x)^y=a^{x\cdot y} \\ =\text{ }\frac{(5n^{6\text{ x 2}})}{(m^{-3\cdot2}n^{2\cdot2})} \\ =\text{ }\frac{5n^{12}}{(m^{-6}n^4)} \\ \text{According to the law of indices} \\ x^{-1}\text{ = }\frac{1}{x} \\ =5^{}n^{12}\cdot n^{-4}\cdot m^6 \\ =5n^{12\text{ - 4}}m^6 \\ =5n^8m^6 \end{gathered}[/tex]f(x) = -7x - 1 f()= -8
Answers
f(x) = -7x - 1
f()= -8
-7x - 1 = -8
-7x - 1 + 1 = -8 + 1
-7x = -7
-7x/-7 = -7/-7
Rachael had an average score of 88 on 7 equally-weighted tests. Her teacher decided to drop the lowest test grade. Rachael's average forthe 6 remaining tests is now 91. What was Rachael's lowest test score before her teacher removed that score?
Answers
Let:
x = Rachael's lowest test score
y = average score of the other tests
Rachael had an average score of 88 on 7 equally-weighted tests. so:
[tex]88=\frac{x+y}{7}[/tex]Her teacher decided to drop the lowest test grade. Rachael's average for
the 6 remaining tests is now 91. so:
[tex]\begin{gathered} 91=\frac{y}{6} \\ so\colon \\ y=6\cdot91 \\ y=546 \end{gathered}[/tex]Replace the valuel of y into the first equation:
[tex]88=\frac{x+546}{7}[/tex]solve for x:
[tex]\begin{gathered} 88\cdot7=x+546 \\ 616=x+546 \\ x=616-546 \\ x=70 \end{gathered}[/tex]can I have help on this
Answers
The statement that would help to show that ∠2 ≅ ∠4 is ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4
Supplementary anglesFrom the question, we are to determine the statement that would help to show that ∠2 ≅ ∠4
By definition, supplementary angles are angles that sum up to 180°
From the given diagram,
∠1 + ∠2 = 180° (Linear pair theorem)
Also,
∠1 + ∠4 = 180° (Linear pair theorem)
Thus,
By the substitution property,
∠2 ≅ ∠4
Hence, the proof that ∠2 ≅ ∠4 is shown by ∠1 is supplementary to ∠2 and ∠1 is supplementary to ∠4
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PLEASE HELP I WILL GIVE BRAINLIEST TO WHOEVER IS CORRECT :)
Answers
Answer:
its c
Step-by-step explanation:
not sure how to explain it
The football team is selling raffle tickets to raise money for new uniforms. All raffle tickets are sold for the same price. They also receive a fixed amount of money as a donation to help for their cause. The equation shown below represents the amount of money raised from the raffle tickets and the donations
4.50+2500=2842
The solution to the equation above is x=76. What does the solution represent?
Answers
The solution to the equation 4.50x +2500 = 2842, x = 76 represents the number of raffle tickets sold.
What is an equation solution?An equation solution is a value that validates the mathematical statement claiming that two mathematical expressions have an equivalent or equal value.
Using the equation symbol (=), an equation establishes the equality of two expressions. When the unknown values are substituted by a value, the result is the equation solution.
4.50x +2500 = 2842
Subtract 2500 from both sides:
4.50x + 2500 - 2500 = 2842 - 2500
Simplify the equations:
4.50x = 342
Divide both sides by 4.50:
x = 76 (342/4.50)
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Question Completion:Amount of money raised from the raffle tickets and the donations = 4.50x +2500 = 2842.
A band expects to put songs on their next CD. The band writes and records % more songs than they expect to put on the CD. During the editing process, % of the songs are removed. How many songs will there be on the final CD?
Answers
The number of songs that will be on the final CD is 3
How to determine the valueFrom the information given, we have the following deductions;
There are a total of 12 songs that were put on the next CDAnd there are 25% more songs that the band wroteDuring the recording, 80% of the songs were removedTo determine the number of songs on the final CD,
For the recorded CD,
The percentage is 25%
Then, we have;
12 + (25/100 × 12)
find the quotient
12 + (0.25 × 12)
12 + 3
15 songs
For the removed songs, the percentage is 80%
We have;
15 - (80/100 × 15)
Find the quotient
15 - (0.8 × 15)
Multiply through
15 - 12
3 songs
Hence, the number is 3
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how do you make someone the brainliest?
Answers
Answer: by eating there head off
Step-by-step explanation:
Apple Melon recipe calls for two 2 1/2 cups of watermelon, 3/4 cups of cantaloupe been one and 1/2 tablespoons of honey. what amount of ingredients is needed for 10 and 15?
Answers
The amount of ingredients needed for 10 apple melon recipe is 25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey, and for 15 is 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.
What do you mean by recipe?
A recipe contains the list of ingredients and set of instructions that tells us how to cook any particular dish.
As given in the question, for one recipe, we need
2 & 1/2 cups of watermelon, 3/4 cup of cantaloupe and 1 &1/2 cup of honey.
We can also say it as:
2.5 cups of watermelon, 0.75 cup of cantaloupe and 1.5 cup of honey.
In order to the amount of ingredients for 10 we need to multiply each ingredient with 10.
so it will become,
25 cups of watermelon, 7.5 cup of cantaloupe and 15 cup of honey.
Similarly, In order to the amount of ingredients for 15 we need to multiply each ingredient with 15.
so it will become, 37.5 cups of watermelon, 11.25 cup of cantaloupe and 22.5 cup of honey.
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-4t=20 what does t equal
Answers
Answer:
divide -4 from 20 so t is -5
Step-by-step explanation:
Answer:
t=-5
Step-by-step explanation:
divide both sides by -4 now we have t=-5
The function f is defined by the following rule f(x) = -3x - 2
Answers
The function f is defined by the following rule f(x) = -3x - 2, then the value of x is, x = -2/3.
The following expression is,
f(x) = -3x - 2
What is a Function :Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.
A function is a kind of rule that, for one input, it gives you one output. An example of this would be [tex]Y = x^{2}[/tex] . If you put in anything for x, you get one output for y. We would say that y is a function of x since x is the input value.
We can find the x - intercept,
Set y = 0,
-3x - 2 = 0
Rearrange variables to the left side of the equation,
-3x = 2
Divide both sides of the equation by the coefficient of variable,
x = -2/3
Therefore,
The function f is defined by the following rule f(x) = -3x - 2, then the value of x is, x = -2/3.
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Given m<7=107 and m<4= (8x+1) what is the value of x?
Answers
The value of x comes out to be 9.
Here, we are given that m∠7 = 107 and m∠4 = (8x+1)
From the figure given below, we can see that angle 7 and angle 6 are vertically opposite angles. Thus-
angle 7 = angle 6
measure of angle 6 = 107°
Now, angle 6 and angle 4 are opposite interior angles and the sum of opposite interior angles is equal to 180. Thus-
m∠4 + m∠6 = 180
8x + 1 + 107 = 180
8x + 108 = 180
8x = 180 - 108
8x = 72
x = 72/8
x = 9
Thus, the value of x comes out to be 9.
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Your question was incomplete. Check for the missing figure below.
Please help me i can't seem to get it
Answers
Answers:
Horizontal lineGraph rises and is steeperGraph falls and is steeperGraph rises and is less steepGraph falls and is less steep=======================================================
Explanation:
Think of a roller coaster. A sharp drop is where we have a very steep decline. The steeper the line, the more rapid the drop.
The same can be said for when the graph increases as well.
Horizontal portions of the graph are when the elevator isn't moving. The x value (time) is always moving forward of course, but the y value (height of the elevator) is not changing.
the edge of a cube was found to be 30 cm with a possible error in measurement of .1 cm. use differentials to estimate the percentage error (to the nearest hundredth) in computing (a) the volume of the cube and (b) the surface area of the cube.
Answers
a) The volume of the cube is 27,271 cubic centimeter
b) The surface area of the cube is 5,400
Well the edge is 30 cm +- 0.1 cm
Volume will be side cubed, so max estimate for volume is (30.1)^3, and minimum (29.9)^3
So percentage error = [(30.1)^3 - 30^3/ / 30^3 x 100 = 1,00 %
Surface area is 6 x side squared
So max estimate for area is 6 x 30.1^2,
minimum 6 x 29.9 ^ 2
So percentage error = (6 x 30.1^2 - 6 x 30^2) / (6 x 30^2) x 100 = 0.67 %
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For the following exercise determine whether the graph shown represents a geometric sequence.
Answers
Answer:
Graph of a geometric sequence
equal changes in the input cause the output to be successively multiplied by a constant. cause the output to be successively multiplied by a constant (determined by the common ratio). Thus, geometric sequences always graph as points along the graph of an exponential function.
An example of a geometric sequence is given below as
A geometric sequence takes the function given in the formula below
[tex]a_n=ar^{n-1}[/tex]When n=1, An=-3
[tex]\begin{gathered} a_{n}=ar^{n-1} \\ -3=ar^{1-1} \\ -3=a \\ a=-3 \end{gathered}[/tex]When n=2 ,An=-1
[tex]\begin{gathered} a_{n}=ar^{n-1} \\ -1=-3r^{2-1} \\ -1=-3r \\ r=\frac{-1}{-3} \\ r=\frac{1}{3} \end{gathered}[/tex]When n=3,An =1
[tex]\begin{gathered} a_{n}=ar^{n-1} \\ 1=3r^{3-1} \\ \frac{1}{3}=r^2 \\ r^=\sqrt{\frac{1}{3}} \end{gathered}[/tex]We can see that they do not have a constant value of the common ratio (r)
Hence,
The graph DOES NOT represent a geometric sequence
5) Find the value of y.
(21y-1)
(4x+23) (9x-38)
Answers
The value of y in the expression (21y-1)=(4x+23)(9x-38) is (103x - 875)/21.
According to the given question
We have a linear equation in two variables
(21y - 1) = (4x + 23)(9x -38)
For finding the value of y solve the above equation by adding and subtracting the like terms.
So, 21y - 1 = 4x(9x -38) + 23 (9x -38)
⇒ 21y - 1 = 48x - 152x + 207x - 874
⇒ 21y - 1 = 103x - 874
⇒ 21y = 103x - 874 + 1
⇒ 21y = 103x - 875
⇒ y = [tex]\frac{103x - 875 }{21}[/tex]
Hence, the value of y in the expression (21y-1)=(4x+23)(9x-38) is [tex]\frac{103x - 875 }{21}[/tex]
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It cost Steve $135.75 to buy 15 albums from an online music store. How much did 1 album cost?
Answers
Answer: $9.05
Step-by-step explanation:
divide 135.75 by 15 in order to find the cost of one album.
135.75 / 15 = 9.05
answer: $9.05
I need help, please!!! Please help!!
Answers
Answer:
Step-by-step explanation:
sacramento
fresno
madera
bakersfield
Hope this helped!
When you flip a biased coin the probability of getting a tail is 0.75.
How many times would you expect to get tails if you flip the coin 240 times?
Answers
Answer:
180
Step-by-step explanation:
It's 180 because 75% of 240 is 180.
PLS HELP 30 POINTS IF YOU ANSWER THIS! AND BARIN LIST. PRETTY SIMPLE.
• Jackie made a mistake when he _________.
• The Triangle Congruence Postulate or Theorem that is easiest for me to use is ____ because _____.
• The Triangle Congruence Postulate or Theorem that is the most difficult for me to use is ____ because _____.
Answers
By HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
What is HL theorem?HL theorem: The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Jackie made a mistake by determining ΔADE is congruent to ΔCBE
we can't conclude it directly because the angles at D and B may be different
∠E=90° and given that hypotenuse of both the triangles are congruent
AD≅CB and leg of the two triangles are congruent AE≅BE
then by HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
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The Hypotenuse-Leg (HL) Triangle Congruence Theorem is a special case that allows you to show that two right triangles are congruent. If the hypotenuse and a leg of a right triangle are congruent to the hypotenuse and a leg of another right triangle, then the triangles are congruent.
Jackie made a mistake by determining ΔADE is congruent to ΔCBE
we can't conclude it directly because the angles at D and B may be different
∠E=90° and given that hypotenuse of both the triangles are congruent
AD≅CB and leg of the two triangles are congruent AE≅BE
Then by HL theorem we can conclude that both the triangles are congruent
ΔAED ≅ ΔBEC
The cost of a family reunion is $40 + 20n, where n is the number of people attending the
reunion. What is the total cost for 62 people?
Answers
Answer:
$1,280
Step-by-step explanation:
[tex]40 + 20(62) = 40 + 1240 = 1280[/tex]
The frequency table shows the scores from rolling a dice.
Score
1
2
3
4
5
6
Work out the range.
Frequency
8
4
5
5
7
8
Answers
Answer:
I don't know
Step-by-step explanation:
There is none
Prove that the opposite angles of a parallelogram are equal.
Answers
The opposite angles of a parallelogram are equal.
x + y = a+ b
Let's consider a quadrilateral ABCD which is a parallelogram with AC as its diagonal.
We know, in parallelograms opposites' sides are parallel.
So, AB∥DC and AD∥BC
Since AB is parallel to DC and AC is the transversal.
By alternate angles,
∠BAC = ∠DCA
y = a -----------------(1)
Similarly, AD is parallel to BC and AC is the transversal.
The alternate angles,
∠DAC = ∠BCA
x = b -----------------(2)
Adding equations ( 1 ) and ( 2 ),
∠BAC + ∠DAC = ∠DCA + ∠BCA
∠BAD = ∠DCB
x + y = a + b
Similarly, we can prove, ∠ADC=∠ABC
Hence proved, opposite sites of a parallelogram are equal.
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