The 7 rules of exponents are:
Product Rule: When multiplying two numbers with the same base, add the exponents. For example, [tex]a^m * a^n = a^{(m+n)}[/tex]Quotient Rule: When dividing two numbers with the same base, subtract the exponents. For example, [tex]a^m / a^n = a^{(m-n)}[/tex]Power Rule: When raising a power to a power, multiply the exponents. For example, [tex](a^m)^n = a^{(m*n)}[/tex]Zero Exponent Rule: Any non-zero number raised to the power of 0 is equal to 1. For example, [tex]a^0[/tex] = 1, where a is not equal to 0Negative Exponent Rule: When a number is raised to a negative exponent, it is the same as the reciprocal of the number raised to the positive exponent. For example, [tex]a^{-n}[/tex] = 1/[tex]a^n[/tex]One Exponent Rule: When a number is raised to the power of one, it stays the same. For example, [tex]a^1[/tex] = aZero Exponent Rule: Any number raised to the power of 0 is equal to 1. For example, [tex]a^0[/tex] = 1
It's worth noting that these rules are only valid for real numbers, with the exception of the zero exponent rule, which is valid for any number except for zero. Also, some rules may have restrictions such as the Negative exponent rule, where the base cannot be zero.
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What scale factor was applied to the first rectangle to get the resulting image?
Answer: Another way to look at it is that the rectangle was reduced in a factor of 5 (1/0.2=5)
don't forget to drop a heart hope it helped
Step-by-step explanation:
Answer: 1/0.2=5
Step-by-step explanation:
I hope this helps if you guys need a reach out to me :)
If 95% of students are coming to school tomorrow, what is the complement?
Question 5 options:
A. 95%
B. 100%
C. 1%
D. 5%
Answer:
d
Step-by-step explanation:
can you help me with this question According to Frost in his poem "The Road Not Taken," what kind of difference did taking one road over another road make? A. It made a good difference, B. It made a bad diference, c. Frost does not say
Answer:
the answer is d
Step-by-step explanation:
it only takes 5% to get to 100%
que volumen ocupará 600 g de agua?
Answer:
Step-by-step explanation:
600 ml
Well I need the help in this last question I will mark brain list if you got it right
Answer:
6x−11y+15
Step-by-step explanation:
Distribute the Negative Sign:
=5x−6y+7+−1(−x+5y−8)
=5x+−6y+7+−1(−x)+−1(5y)+(−1)(−8)
=5x+−6y+7+x+−5y+8
Combine Like Terms:
=5x+−6y+7+x+−5y+8
=(5x+x)+(−6y+−5y)+(7+8)
=6x+−11y+15
Answer:
6x−11y+15
I hope I helped!!
89+67
berapakah jawapan nya
Answer:
156
Step-by-step explanation
fgcfgvhvcfgvxxbbhhcx
Answer:
Jawapan kepada 89 + 67 = 156
What is 631.051 as a fraction
sorry if that doesnt make sense.
Answer:
631 and 51/1000
Step-by-step explanation:
Please help me 15 points it’s worth it please help me on this question
Answer:
last answer
Step-by-step explanation:
a quadratic polynomial the sum of whose zeros is -3 and product is -10
Answer:
2 and -5 i think
Step-by-step explanation:
How do you solve for x and y?
Answer:
x = 100, y = 50
Step-by-step explanation:
Make a system of equations:
First, you know that x + y degrees and 30 degrees are on a line together, they add up to 180 degrees:
x + y + 30 = 180
x + y = 150
Next, the interior angles of a triangle always add up to 180 degrees, and since 2y, x/2, and 30 are all the angles in a triangle, you have:
2y + x/2 + 30 = 180
x/2 + 2y = 150
Now, all you have to do is solve the system of equations.
To start, multiply the second equation by 2 to get rid of the fraction:
x + 4y = 300
Then, you can subtract the two equations:
x + 4y = 300
- (x + y = 150)
3y = 150
divide both sides by 3
y = 50
substitute y = 50 into the equation x + y = 150:
x + 50 = 150
x = 100
Josie makes invitations for her aunt's paper company. Of all the invitations Josie makes, 15/21 are children's party invitations. Of those invitations, 3/5 have an animal on them. What fraction of the invitations Josie makes are children's party invitations with an animal on them?
Answer:
the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]
Step-by-step explanation:
The computation of the fraction of the invitations considered to be an animal on them is shown below:
= Children party invitations × animal on them
[tex]= \frac{15}{21} \times \frac{3}{5}\\\\= \frac{3}{7}[/tex]
Hence, the fraction of the invitations considered to be an animal on them is [tex]\frac{3}{7}[/tex]
GIVING BRAINLIEST!!!
Answer:
i think its 78.5 but the answers not on there the closest one there to it is 76.5 so just put that one
Step-by-step explanation:
tysmmmmmmmmmmmmmmmmmmmmmm
Answer:
The answer is 10
Step-by-step explanation:
To get this you will make the improper fraction into a fraction and then turn that into decimal form
[tex]4 \frac{1}{8} = 4[/tex]
and
[tex]5 \frac{6}{10} = 6[/tex]
That is how you find the estimated answer
Hope this Helped
can someone please help me u can just do 5 and explain please
¿Puede alguien ayudarme? Puedes hacer 5 y explicar por favor.
Answer:
i only can explain until number 7
i am sorry
maybe that help you
Please help! image is shown below
Answer:
I think 3 maybe since 5 times 3 is 15
Step-by-step explanation:
Answer:
z=10
Step-by-step explanation:
60/40=1.5
15/1.5=10
Christine has her own dog -walking business. She Charges her customers $20 per day to walk their day
Answer:
y= money made
x = amount of dogs walked
equation- y = 20x
for the table name # of dogs walked on the right and money earned on the left.
for the left put 1 2 3 4 5 6 7 and 8
1 goes with 20
2 goes with 40
3 with 60
4 with 80
5 with 100
6 with 120
7 with 140 and
8 with 160
Step-by-step explanation:
PLEASE I NEWD HELP ON THIS
Answer:
5. Inequality form: n ≥ 3
Interval notation: [3, ∞)
6. Inequality form: x < 4
Interval notation: (- ∞, 4)
11. Inequality form: x > 50
Interval notation: (50, ∞)
12. Inequality form: y [tex]\geq[/tex] 8
Interval notation: [8, ∞)
15. Inequality form: z < 8
Interval notation: (- ∞, 8)
16. Inequality form: y [tex]\geq[/tex] 4
Interval notation: [4, ∞)
Step-by-step explanation:
I tried to graph them as best as I could, I hope this helps!
What is the scientific notation for .000472
Answer:
The scientific notation for 0.000472 is 4.72 * [tex]10^{-4}[/tex].
Delia takes out a loan to buy a car for $18,000 with an interest rate of 6.5%. The amount of interest Delia will have to pay is $4,680. Write and solve an equation to determine the number of months her loan is for. Show all of your work and explain how you got your number of months.
Answer:
Delia pays $4,680 in 4 months
Step-by-step explanation:
Equation:
18,000 * 6.5% = 1170
4680 ÷ 4 = 1170
So, the answer is 4 months this is the equation.
Hope this helps! :)
Hi! PLS HELP ITS 30 POINTS!! Thanks!
A soda bottle holds 1.5 liters of soda. How many milliliters does the bottle hold?
15 millimeters
150 millimeters
1,500 millimeters
15,000 millimeters
Pls help!
Imma report u if its something off the topic!
Thanks again!
(its not b i tried it and got it wrong!! )
Answer:
1,500 millimeters
Step-by-step explanation:
1 litre = 1000 millilitre.
Try 1,500.
pls help ty !
question is in the pic
Answer:
He is not correct
The altitude of an airplane is decreasing at a rate of 40 feet per second. What is the change in altitude of the airplane over a period of 20 seconds?
Answer:
Step-by-step explanation:
-40t
-40(20)
-800 ft
Can someone please tell me what is the solution
Answer:
[tex] \frac{1}{4} \tan {}^{4}(x) + c[/tex]
Find (3x+1)(x+4) using the table of products. Write your answer in standard form.
Step-by-step explanation:
just multiply both the values and get the quadratic solution.
The standard form of the (3x+1)(x+4) is 3x^2+13x+4=0.
We have given that,
(3x+1)(x+4) using the table of products.
We have to determine the standard form.
What is the formula of the standard form?
The quadratic function f(x) = a(x - h)2 + k, a not equal to zero, is said to be in standard form. If a is positive, the graph opens upward, and if a is negative, then it opens downward. The line of symmetry is the vertical line x = h, and the vertex is the point (h,k).
ax^2+bx+C=0
[tex]=3xx+3x\cdot \:4+1\cdot \:x+1\cdot \:4[/tex]
[tex]=3x^2+13x+4[/tex]
Therefore the standard form is 3x^2+13x+4=0.
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HELP PLEASE !! URGENT !!
E = MV^2 ÷ 2 + mgh, Make V Subject of the formula
Answer:
[tex] \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}[/tex]
Step-by-step explanation:
[tex]E = MV^2 ÷ 2 + mgh \\ \\ E - mgh = MV^2 ÷ 2 \\ \\ 2(E - mgh)= MV^2 \\ \\ \frac{2(E - mgh)}{M}=V^2 \\ \\ \sqrt{\frac{2(E - mgh)}{M}} = V \\ \\ \red{ \bold{ V = \sqrt{\frac{2(E - mgh)}{M}}}}[/tex]
10.
Write a rule for the linear function in the graph.
A. y = 4/5x + 2
B. y = -5x - 2
C. y = 5/4x - 2
D. y = -4/5x + 2
Answer:
D. y = -4/5x + 2
Step-by-step explanation:
Graph the line using the slope and y-intercept, or two points.
Slope:
−
4
5
y-intercept:
(
0
,
2
)
x
y
0
2
5
2
0
Find the volume of the figure.
10 cm
8 cm
10 cm
14 cm
10 cm
8 cm
cubic centimeters
Answer:
60 cm³
Step-by-step explanation:
Step-by-step explanation:
=896000 is the answer
method -10x8x10x14x10x8
️️
4. Six numbers are shown.
1.25, -1.5, -0.75,
34,
2 6/8,
5/4
Place each number in its correct location on the number line.
Step-by-step explanation:
sorry i couldn't solve the last and the last second one
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Please help it’s due in 20 mins would it be A B C or D
Answer:
C ) x < 1
Step-by-step explanation:
The open circle on a number line means: less than or greater than. The arrow is pointing to the left, towards the negatives, so x would be less than 1.
Solve by elimination:
9x + 4y = 97
9x + 6y = 123
14
15'
B (5, 13)
(13,5)
D (1, 22)
Answer:
B (5, 13)
Step-by-step explanation:
9x + 4y = 97
9x + 6y = 123
To solve by elimination, we want to eliminate a variable. To do this, we must make one variable cancel out.
First, we can see that both equations have 9x. To cancel out x, we must make one of the 9x's negative. To do this, multiply each term in the equation by -1.
-1(9x + 6y = 123)
-9x - 6y = -123
This is one of your equations. Set it up with your other given equation.
9x + 4y = 97
-9x - 6y = -123
Imagine this is one equation. Since every term is negative, you will be subtracting each term.
9x + 4y = 97
-9x - 6y = -123
___________
0x -2y = -26
-2y = -26
To isolate y further, divide both sides by -2.
y = 13
Now, to find x, plug y back into one of the original equations.
9x + 4(13) = 97
Multiply.
9x + 52 = 97
Subtract.
9x = 45
Divide.
x = 5
Check your answer by plugging both variables into the equation you have not used yet.
-9(5) - 6(13) = -123
-45 - 78 = -123
-123 = -123
Your answer is correct!
(5, 13)
Hope this helps!