Answers
Step-by-step explanation:
1)
x⁴×x^a = x¹²
you know that you can add the exponents when multiplying terms with the same base value/variable ?
because that is what we are doing here to solve it :
x^(4 + a) = x¹²
therefore,
4 + a = 12
a = 8
2)
y^b / y⁵ = y²
similar to 1), but when we divide, we subtract the exponents.
y^(b - 5) = y²
b - 5 = 2
b = 7
3)
3^c = 1/27
27 = 3³
27×3^c = 1
3³×3^c = 1
3^(3 + c) = 1
now we need to remember : x⁰ = 1.
therefore, 3⁰ = 1
3^(3 + c) = 3⁰
3 + c = 0
c = -3
4)
(m³)² = m^d
aha !
now we need to remember, we can multiply the exponents, when we have an exponent of an exponent term.
m^(3×2) = m^d
3×2 = d
6 = d
5)
7⁰ = e
remember, x⁰ = 1, so also 7⁰ = 1.
therefore, e = 1.
6)
4^-2 × 4⁹ × 4^‐5 = 4^f
so, now we need apply what we just learned to a sequence of operations :
each term has the same base value (4), and they are all multiplied, so we can do the described adding of the exponents :
4^(-2 + 9 - 5) = 4^f
therefore,
f = -2 + 9 - 5 = 2
Answer:
just here 4 points
Step-by-step explanation:
Related Questions
CAN SOMEONE HELP ME PLEASE ASAP!
Answers
quick question is this area or perimeter?
Answer:
2 and 3
Step-by-step explanation:
to be similar, there must have been the same scaling factor applied for length and width.
when going from 2 to 3 the width changes from 5 to 7, that is a changing factor of 7/5 = 1.4
and the length changes by the same factor :
6.5 × 7/5 = 1.3 × 7 = 9.1
What is 2.29 rounded to the nearest whole ounce?
Answers
Answer: To round 2.29 to the nearest whole number consider the tenths' value of 2.29, which is 2 and less than 5.
Step-by-step explanation:
PLS HELP WILL MARK BRAINLIEST! NO FAKE ANSWERS
Answers
Answer:
i. 4x² + 96x + 512
ii. 1,092 m²
Step-by-step explanation:
i. [ 36 + 2 (x - 2) ] × [ 20 + 2 (x - 2) ]
= (36 + 2x - 4) (20 + 2x - 4)
= (32 + 2x) ( 16 + 2x)
= 512 + 64x + 32x + 4x²
= 4x² + 96x + 512.
---------------------------------------------------------------------
ii. If x = 5
then 4x² + 96x + 512
= 4 × 25 + 96 × 5+ 512
= 100 + 480 + 512 (Simple calculation)
= 1,092 m²
The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
1. The table is proportional and the unit rate is 1/13
2. The table is proportional and the unit rate is 13.
3. The table is not proportional.
Answers
Answer:
2.
Step-by-step explanation:
The number of trees times 13
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answers
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
Please help with this math
Answers
Answer:
iuj
Step-by-step explanation:
Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3
Answers
Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
Her little sister's birthday is next week, so Erin is planning a bubble-themed birthday party!
She buys a big bottle of bubble solution and divides it equally among 8 small bottles. Each
small bottle holds
1
of a gallon of bubble solution.
16
Use an equation to find the amount of bubble solution in the big bottle.
To write a fraction, use a slash (/) to separate the numerator and denominator.
Answers
Answer:
The answer and solution is in the picture
An equation is formed of two equal expressions. The equation that can represent the amount of solution in a small bottle is x=y/8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the bubble solution in the small bottle be represented by x, while the amount of solution in the big bottle is represented by y. Since the sum of the solution of 8 small bottles is equal to a big bottle. Therefore, the equation can be written as,
The amount of solution in the big bottle) = (Amount of solution in a small bottle)×8
y = 8x
x = y/8
Hence, the equation that can represent the amount of solution in a small bottle is x=y/8.
Learn more about Equation:
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pls help asap! i will mark brainliest!
Answers
Answer:
AB would be 18 or the first choice.
Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.
x + 8 = 2x - 17
+ 17 +17
x + 25 = 2x
-x -x
25 = x
This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Someone please help me with this question
Answers
Answer:
Search it up
Step-by-step explanation:
hope you pass the test
Identify the terms, coefficients, and constants in the expression 15x+3
Answers
Answer:
coefficients are : 15. constants are: 3
Step-by-step explanation: hope it helps
In the expression, 15x + 3 there are two terms.
The coefficient of x is 15.
The constant term is 3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
15x + 3
There are two terms:
15x and 3
The coefficient of x is 15.
The constant term is 3.
Thus,
There are two terms.
The coefficient of x is 15.
The constant term is 3.
Learn more about expressions here:
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PLS HELP WILL MARK BRAINLIEST!
Answers
Answer:
Option e. "Polynomial in the form..."
Step-by-step explanation:
You can just look at the form that the problem is in. It's written in the exact form that this option is displaying.
Hope this helps :)
x^8+8x^7+15x^6−9x^5−72x^4−135x^3+8x^2+64x+120
Factor completely given the following factors: (x+5) and (x+3)
There should be 6 factors (2 given, 2 binomials, and 2 trinomials.)
show steps
Answers
Answer:
(x+3)(x+5)(x-2)(x-1)(x^2+2x+4)(x^2+x+1) where the given one is bolded the 2 binomials is italicized and the 2 trinomials is underlined
Step-by-step explanation:
At a sale this week, a suit is being sold for $274.40. This is a 72% discount from the original price.
Answers
Answer:
Your new total with the sale is 76.83 dollars
Step-by-step explanation:
help me fro brainleist.........
Answers
Answer:
2nd one is parallel and last one is perpendicular.
Estimate and then solve 8,784 ÷ 61 = ___.
Answers
Answer:
8784/61
144#
Mark as a brainlist
Answer:
144
Step-by-step explanation:
i did it
Please help it’s so hard for me
Answers
Answer:
Answer is d
Step-by-step explanation:
how do you convert decimal to fraction
Answers
you convert decimals to fractions by how much more numbers are after the point the more 0Answer:
for example 0.2=2/10 and0.25= 25/100
and if a zero is infront of the number like this 0.02 then it will be the same except it will be 2/100
Step-by-step explanation:
Marsha watched 1 4 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 1 3 of the movie left to watch. How much of the movie did Marsha watch at night?
Answers
UwU
help!!!
i will give a brainliest!!
Answers
Answer: is 1 and 3
Step-by-step explanation:
Solve by substitution.
x-2y=2
2x-5y=3
I give Brainliest
Please explain step by step.
Answers
[1] x = 2y - 1
// Plug this in for variable x in equation [2]
[2] 2•(2y-1) - 5y = -3
[2] - y = -1
// Solve equation [2] for the variable y
[2] y = 1
// By now we know this much :
x = 2y-1
y = 1
// Use the y value to solve for x
x = 2(1)-1 = 1
In a bag of m&ms, there are 12 blue,7 browns, 16 red,6 green, 4 yellow, 8 orange.What is the probability of choosing a brown or green candy from the bag
Answers
Answer:
40 percent
Step-by-step explanation:
Answer:
13/53
Step-by-step explanation:
Total number of m&m's = 53
Probability of choosing a brown candy = 7/53
Probability of choosing a green candy = 6/53
Probability of choosing a green or brown candy
= 7/53 + 6/53
=13/53
What is the simplified expression for the expression belov
4(x + 8) + 5(x - 3)
O 9x + 5
O 9x + 11
O 9x + 17
O 9x + 47
Answers
Answer: 9x + 17
Step-by-step explanation: Add 4x and 5x and you get 9x. Next take away 15 from 32 and you get 17 therefore the answer wuld be 9x + 17.
By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.
Answers
Answer:
16
Step-by-step explanation:
Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...
1/(1/4)² = 16
You would weigh 16 times as much.
_____
Additional comment
The distribution of mass within the earth also affects your weight.
Solve.
−4 3/4=x−1 1/5
What is the solution to the equation?
Enter your answer as a simplified mixed number in the box.
X= ??
Answers
Decimal form: x=-3.55
Cuanto es ³/4 de cerezas
Answers
Answer:
3/8
Step-by-step explanation:
Shiva drank 2 3 liter of water Monday before going jogging. She drank 3 7 liter of water after her jog. How much water did Shiva drink altogether?
Answers
Answer:
2/3 = 16/243/8 = 9/2416/24 + 9/24 = 25/2425/24 = 1 and 1/24
Step-by-step explanation:
The mean vitamin C level for 20 dogs was 7.6 milligrams per liter, with a standard deviation of 2.1 milligrams per liter.
One dog’s vitamin C level was not in the normal range. It was 0.9 milligrams per liter, which is a very low level of vitamin C.
If the value 0.9 is eliminated from the data set, does the mean increase or decrease?
Your answer:
I will give you 5.0 and a thanks and maybe brainliest
Answers
Answer: The mean increases.
Step-by-step explanation:
The value of 0.9 mg/L is very low compared to a means of 7.6 mg/L with a standard deviation of 2.1 mg/L. It seems as though it is an outlier that is suffiently different from the others, and probably should be dropped from the data set. That would do 2 things: 1) the stabdard deviation will likely decrease, indicating a more confident data set, and 2) the mean vitamin C level will increase.
Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)
Answers
x-4-2= -11
it’s a negative 11 btw!!
Answers
Hello there!
x-4-2=-11
x-6=-11
x=-11+6
x=-5
Hope it helps
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
x=-5
Step-by-step explanation:
x-4-2=-11
x-6=-11
x=-11+6
=-5