Answers
Answer:
[tex]4^{21}[/tex]
Step-by-step explanation:
[tex]\frac{4^{12}}{4^{-9}}\\[/tex]
Given 4 = a
From the properties of exponents for the example...
[tex]\frac{a^4}{a^{-2}} = \frac{a*a*a*a}{\frac{1}{a^2} } = (a*a*a*a)*a^2 = a^4 * a^2 = a^{4+2} = a^6[/tex]
Therefore, the answer is....
[tex]4^{12}*4^{9} = 4^{12+9} = 4^{21}[/tex]
Related Questions
Which expression is equivalent and why?
Answers
9514 1404 393
Answer:
C. 1.15x
Step-by-step explanation:
You are given the expression for the cost:
x + 0.15x
Combining like terms, this becomes ...
1.15x . . . . . matches choice C
What word phrases represent the expressions (2x+3) + 7 and 2x + (3+7)? Are the two expressions equivalent? Explain.
Answers
Answer:
yes
Step-by-step explanation:
the results are equivalent. because, the formula is: a + (b + c) = (a + b) + c
the sum of two numbers is 100 and their difference is 80, what are the two numbers
Answers
Answer:
The numbers are 90 and 10.
Step-by-step explanation:
Let the two numbers are x and y.
It has been given that sum of two numbers is 100. Hence, we have the equation,
x + y = 100 .........(i)
Now, the difference of these two numbers is 80. Thus, second equation is
x - y = 180......(ii)
Add equation (i) and (ii)
x + y + x - y = 100 + 80
2x = 180
Divide both sides by 2
x = 90
Substitute this value in (i)
90 + y = 100
y = 100- 90
y = 10
Therefore, the numbers are 90 and 10.
#Learn More:
The sum of two numbers is 450 and the smaller number is 120. What is the product?
Step-by-step explanation:
90 and 10x=90
y=10
Explanation:
Let x be equal to the first number.
Let y be equal to the second number.
We know that the sum of the two numbers is 100, so we can say that x+y=100.
We also know that the difference of the two numbers is 80, so we can also say that x-y=80
And now we have our two equations:
x+y=100
x-y=80
To find x and y, we first solve for one of the variables and plug it into one of the two equations to solve for the other. In this case, the easiest way to approach this question is to add both of the equations to cancel y out and solve for x (please check the picture attached for a better representation).
x+y=100
x-y=80
-> 2x=180
2x=180
Divide both sides by 2
2x/2=180/2
x=90
Now that we have found the value of the first number, x, we can plug it in to either of our two original equations to solve for y.
x+y=100
90+y=100
Subtract both sides by 90
90+y-90=100-90
y=10
Therefore, the value of x is 90 and the value of y is 10. Their sum is 100 and their difference is 80.
I hope this helps!
Test your PEMDAS
6+8/2(2+2)
This one is tricky
Answers
Answer:
6+8÷2×4
6+16
=22
Step-by-step explanation:
add the numbers
calculate the new expression
add the numbers
Answer: hint use pemdas
Step-by-step explanation:
I need help bad please anyone I need this
Answers
Answer:
The answer is A because 144 - 121 = 23 so
Step-by-step explanation:
because 144 - 121 = 23
F(x) = (4x–5)/6
Find the Inverse
Answers
Answer:
F^-1 (x) = 3x/2+5/4
Step-by-step explanation:
First, replace f(x) with y
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y
Replace y with f−1(x) f − 1 ( x )
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.
Hope this helps! Stay Safe!
PLS ANSWER ASAP!!!!!
The temperature is dropping at a rate of 2.5 degrees for 4.25 hours. How much did the temperature change?
Group of answer choices
A.) -10.625 degrees
B.) -6.75 degrees
C.) 10.625 degrees
D.) 6.75 degrees
Answers
Answer:
A
Step-by-step explanation:
Answer:
The correct answer would be A.
A teacher divided 60 stickers among 3 students in a ratio of 2:3:5. How many stickers did each student receive?
Answers
Answer:
12:18:30
Step-by-step explanation:
I do RSM too, have a good day :)
The number of stickers did each student receive get is 12, 18 and 30 respectively.
Given that, a teacher divided 60 stickers among 3 students in a ratio of 2:3:5.
What is the ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Here, 2+3+5=10
Number of stickers student 1 get
= 2/10 × 60
= 12
Number of stickers student 2 get
= 3/10 × 60
= 18
Number of stickers student 3 get
= 5/10 × 60
= 30
Therefore, the number of stickers did each student receive get is 12, 18 and 30 respectively.
To learn more about the ratio visit:
brainly.com/question/13419413.
#SPJ2
Which situation is best expressed by the quantity -100?
O a child on the deck of a ship 100 feet above sea level
O a temperature reading of 100°F
O a dolphin swimming 100 feet below sea level
O a man swimming 100 feet in a pool
Answers
Answer:
a dolphin swimming 100 feet below sea level
Step-by-step explanation:
Plato
Which expression can go in the blank to make the equation true? 60 – 31.2 + ? = 0 a. 60 – 31.2 b. -60 + (-31.2) c. 31.2 - 60 d. 60 - (- 31.2)
Answers
Answer:
(c) 31.2-60
Step-by-step explanation:
Given that
60 – 31.2 + ? = 0
[tex]\Rightarrow ?=31.2-60[/tex]
This is the same as the expression in option (c) 31.2-60.
Hence, option (c) is correct.
The Gill family got a new puppy. The new puppy weighed 7.2 pounds when they got him. Within the first two months, the puppy gained 80% of his original weight. What is the weight of the puppy at the end of two months?
a 5.76 pounds
b 12.96 pounds
c 8.64 pounds
d 8 pounds
explain plzzz
Answers
Answer:
B. 12.96
Step-by-step explanation:First, you need to find 80% of 7.2 which is 5.76. Then, you add 7.2 plus 5.76 and that gives you 12.96.
Answer:12.69
Step-by-step explanation:
7.2 pounds + 80% =
12.96 pounds im telling you
At a candy store, you can buy pre-filled bags of candy that weigh 2 1/4 pounds for $8. At this same rate, how much would a 4 pound
bag of candy cost?
Answers
Answer:
$14.22Step-by-step explanation:
step one:
given data
we are told that 2 1/4( 2.25 pound) of candy cost $8
let us find the cost of 1 pound first
so
2.25 pound cost #8
1 pound will cost x
cross multiply
x=8/2.25
x=$3.55 for one pound.
step two:
Hence if 1 pound cost $3.55
4 pound will cost = 3.55*4= $14.22
I need help on this question
Answers
Answer: The answer is 16
Step-by-step explanation: Ron is 6 tall and cast a 3ft shadow, which means its showing half his size. The tree is casting a 8 ft shadow so that means double the shadow and you should get 16ft
2 + 3x²y - 1⁄2y + y - 1
Answers
Answer:
3x²y+0.5y+1
Step-by-step explanation:
2+3x²y -0.5y+y -1
2 and -1 is 1
-0.5y and +y is +0.5y so the answer is...
I spent $120 shopping for food last week. This week I spent 12% more.
Which expression could be used to find how much I spent on food this
week?
Answers
Answer:
$120*.12= then add the answer to the money amount
Step-by-step explanation:
Answer: 120*1.12
The multiplier 1.12 represents the idea of increasing by 12%
This is because 100% + 12% = 1 + 0.12 = 1.12
For example, if you spend $100 this week and increase that by 12%, then you'll spend 100*1.12 = 112 dollars next week. Note how 12% of 100 is 12, which is the amount the budget goes up.
don leaves home 2pm. he drives 45 miles from home in the first hour
Answers
Answer:
if he leave at 2pm 45 miles in the first hr is the correct answer 3 pm
Step-by-step explanation:
Using the graph, find the
1. Domain
2. Range
3. Is it a function? Why or why not?
Answers
9514 1404 393
Answer:
domain: {-5, -4, 2, 5}range: {-6, 1, 3, 4, 5}no: fails the vertical line testStep-by-step explanation:
The domain is the list of x-values of the points on the graph. It is ...
{-5, -4, 2, 5}
The range is the list of y-values of the points on the graph. It is ...
{-6, 1, 3, 4, 5}
__
Two of the points, (2, 1) and (2, 4), have the same x-value. When a single input has multiple outputs, the relation is not a function.
If you were to draw a vertical line at x=2, it would intersect the relation in more than one place. Thus, we say the relation "fails the vertical line test." A vertical line will never intersect the graph of a function in more than one place.
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
EEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
What is the coefficient of the third term in this expression?
–k2n+5mn3–9n3–m3n
Answers
Answer:
27
Step-by-step explanation:
9x3 is 27. Coefficient is the number in the term.
Quadrilateral WXYZ below has an interior angle sum of 360°.
Quadrilateral W X Y Z. Angle Z is 69 degrees, angle Y is 132 degrees, and angle X is 69 degrees. Angle W is unknown.
Which type of angle is Angle W?
right angle
acute angle
straight angle
obtuse angle
Answers
Answer:
the W is 90°, means it is a right angle
Step-by-step explanation:
add all numbers, then subtract the sum to 360 and you will get the answer
Answer:
the anwser is A
Step-by-step explanation:I got a 100% on my test
Help plz:))) I’ll mark u brainliest
ASAP!!!
Answers
Answer:
isosceles
Step-by-step explanation:
the two bottom angles are equivalent
the top angle is different
two sides are also of equal length
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.
Answers
Answer:
B. 19 inches and 60 inches.
Step-by-step explanation:
Required
Select matching pairs
Represent diameter with D and Circumference with C
C is calculated as:
[tex]C = \pi D[/tex]
Where
[tex]\pi = 3.142[/tex]
A. D = 5m; C = 22m
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 5[/tex]
[tex]C = 15.71[/tex]
15.71 does not approximates to 22m.
Hence, the pair do not match
B. D = 19 in; C = 60 in
Using: [tex]C = \pi D[/tex]
[tex]C = 3.142 * 19[/tex]
[tex]C = 59.698[/tex]
59.698 approximates to 60.
Hence, the pair match
C. D = 33 cm; D = 80 cm.
Using: [tex]C = \pi D[/tex]
[tex]C =3.142 * 33[/tex]
[tex]C =103.686[/tex]
103.686 does not approximates to 22m.
Hence, the pair do not match
From the analysis above, only option B matches the diameter with the circumference
Write or describe the function that flips over the x-axis, shifts right .5
units, and up 12 units. *
Answers
Janet can do a job in 3 hours, and Garry can do the same job in 2 hours. If Janet works for 1 hour before Garry comes to help, how long will it take them to do it together.
Answers
Answer:
48 minutes
Step-by-step explanation:
Given that:
Time taken by Janet = 3 hours
Janet's rate = 1/3 job / hour
Time taken by Garry = 2 hours
Garry's rate = 1/2
Rate of working together :
1/3 + 1/2 = (2 + 3) /6 = 5/6 job/hour
If Janet works for one hour before Garry joins ;
1/3 of the job has been done by Janet
1 - 1/3 = 2/3 of the job left
Hence to finish the job together, it will take :
Fraction of JOB left ÷ rate of working together
(2/3 ÷ 5/6)
= 2 /3 * 6/5
= 12 / 15
= 4 / 5 hours
To minutes
(4/5) * 60
= 240/5
= 48 minutes
Answer:
1 4/5
Step-by-step explanation:
In a survey 2800 people who owned a certain type of car, 1820 people said they would want to buy the type of car again. What percent of the people surveyed were satisfied with the car?
Answers
Answer:
65%
Step-by-step explanation:
1820/2800 percent.
(65%)
The unit rate declines on the of people satisfied/ the number of people total.
Hope this helps plz mark brainliest :D
Step-by-step explanation:
1820/2800
=65%
hope this may help you
What are the equations of the lines with the given slope and y-intercept
1. Slope:2, y-intercept: -3
2. Slope: 4, y-intercept: -2
Answers
Answer:
1. y=2x-3
2. y=4x-2
Step-by-step explanation:
1) y = 2x-3
2) y = 4x-2
Hope you have a wonderful day!
x – 2y = 1
2x + 3y = -12
Answers
Answer:
x= -3
y= -2
From the first one, if you add 2y to both sides you can plug that into the second one and solve for y. Then, plug y to the first one and solve for x.
X=1+2y
2(1+2y)+3y=-12
2+4y+3y=-12
2+7y=-12
7y=-12-2
7y=-14
y=-2
x-2*-2=1
x-(-4)=1
x+4=1
x=1-4
X=-3
PLEASE PLEASE PLEASE HELP ME I WILL MARK BRAINALIST AND EXTRA POINTS TO THE FIRST PERSON
Answers
Answer:
Its C
Step-by-step explanation:
The following lines: y=2/3(x) and y=-3/2(x) are...
O Intersectings=
O Neither
O Parallel
O Perpendicular
Need ASAP
Answers
Answer:
the answer to this question is parallel
whats the answer im stuck ( -___-)
Answers
Answer:
(6r+7)+(13+7r)=13r+20
(13-1/2r)-(1-r)=12-1/2r
(-8-r)+(2r-4)=-12+r
Last one is r-13/6
Step-by-step explanation:
Find the value of x that makes m ∥ n .
Answers
Answer:
60
Step-by-step explanation:
(2x+15)=135 They're corresponding angles so they equal/congruent
-15 -15 Subtract 15 on both sides since you're looking for x
2x = 120 Bring down the remains and subtract 135 from 15
2 2 Add 2 on both sides
x= 60 Divide.