What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
To learn more on distributive property click:
https://brainly.com/question/5637942.
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The items Pedro has selected at his local hardware store have a total cost of $130 before tax. If the sales tax is 8.25%, which is closest to the amount of sales tax Pedro can
expect to pay?
Answer: $10.7
Step-by-step explanation:
The following can be deduced from the question:
Total cost of items = $130
Percentage of Sales tax = 8.25%
Sales tax = Sales tax percent × Cost
Sales tax = 8.25% × $130
Sales tax = 8.25/100 × $130
= 0.0825 × $130
= $10.725
= $10.7
In 2011, the winner of the Peachtree Road Race ran the 7-kilometer event in 28 minutes. What is the runner's unit rate? If the runner completed ina 14-kilometer race, what would be the expected time?
Answer:
unit rate= 4-kilometers/minute expected time= 56 minutes
Step-by-step explanation:
14 kilometers x 4 kilo/minute = 56 minutes
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
15 points! Please I need some help this is due ...
Answer:
The answer above is correct
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................
Answer:
1.)47.022
2.)8.032
3.)2.436
4.)61.92
Step-by-step explanation:
Can I please get HELP? ( Picture included)
Answer:
no entiendo la version de esa mathematica
Step-by-step explanation:
Answer:
i think it is 26.
Step-by-step explanation:
180-134=46
180-160=20 so
ABC (46)- XYZ (20)=26.
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
Using the scale 1 cm : 5 meters, Tamara calculated the length of her old gym to be 45 meters and the width to be 20 meters.
Using a new scale, 1 cm : 10 meters, she found the length of the new gym to be 90 meters.
The width of the new gym is
meters.
The length and width of the new gym are
times the length and width of the old gym.
Answer:
1.The width of the new gym is 40
2.The length and width of the new gym are
times the length and width of the old gym 2
Answer:
The width of the new gym is 40 meters.
The length and width of the new gym are 2 times the length and width of the old gym.
Step-by-step explanation:
What is the slope of y=-1/2x+3
Answer:
slope = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given : A linear equation in two variables is given to us , which is y = -½ + 3 .
To Find : The slope of the line .
Solution : The given equation to us is y = -½ + 3 . This equation is also similar to form of a equation in slope - intercept form , which is ,
[tex]\large\boxed{\red{\bf y = mx + c }}[/tex]
Where , m is the slope of the line and c is the y - intercept of the line .
Now , on comparing the equation with the standard form , we have :
m ( slope ) = -½ .c ( y - intercept ) = 3 .Hence the slope of the line is -½.
7/8 divided by (-13/7)
Jordan has 3 blue shirts, 4 red shirts and 6 orange shirts. She chooses a shirt for Monday and places it in her suitcase. Then, she chooses a shirt for Tuesday. What is the probability that she choose a red shirt for Monday and an orange shirt for Tuesday?
Answer:
30% on Monday 46% on Tuesday
Step-by-step explanation:
Well you have 3 blue shirts 4 red shirts and 6 orange shirts so what you have to do is add all them together to make it a fraction which you would do 3+4+6 which is 13/13 so the probability of her wearing a red shirt on Monday would be 4/13 since there are 4 red shirts and 13 in total so we make 4/13 as a fraction which would give us 30% chance she would choose a red shirt on Monday and for Tuesday we do the same thing but instead we use orange shirts so which is 6/13 which would give her a percentage of 46% on Tuesday it's more closer to half than the red shirts because 6 pretty much half of 13 but since 13 is a odd number it isn't half because half of 13 is 6.5
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
1st shape has a 4 2nd shape has a 6 pls help-T T
I don’t know how to do this-
Answer:
2.5
Step-by-step explanation:
because you can tell by the numbers and how close they are then u have to divide
Find a counterexample to show that the given conjecture is false:
The sum of two positive even integers is always an odd integer.
Answer:
20 + 16 = 36
Step-by-step explanation:
The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.
Pick A=20 and B=16, both are positive even integers.
The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.
Counterexample: 20 + 16 = 36
In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.
Other possible counterexamples are:
10 + 8, 700 + 40, 12 + 14, etc.
A number n minus 3 is at least –5.
Answer:
n-3≥-5
If you need the equation solved...
n-3≥-5
+3 +3
n≥-2
Hope this helped!! Have a great day c:
Find two numbers if their ratio is 9:11 and their difference is 6.
Answer:
Step-by-step explanation:
27,33
9*3 is 27
11*3 is 33
33-27 is 6
i only have one, sorry!
Answer:
Step-by-step explanation:
Let the larger number = y
Let the smaller number = x
x/y = 9/11
y - x = 6
Add x to both sides of the second equation
y = 6 + x
Substitute into the first equation
x/(x + 6) = 9/11
Cross multiply
11x = 9(x + 6)
Remove the brackets
11x = 9x + 54
Subtract 9x from both sides.
2x = 54
x = 54/2
x = 27
y = 27 + 6
y = 33
(27,33)
The way I've done it, there isn't a second pair.
I suppose you could do it this way.
9/11 = -27/-33
-27 - - 33 = 6
So the second pair could be
(-27, - 33)
A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?
Answer:
10 apples
Step-by-step explanation:
141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag
we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag
2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?
Answer:1180,740
Step-by-step explanation:
2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.
400+300+40=740 this is the cost for only going there and not coming back.
What is the awnser??????? I need help!!!!!!
Answer:
upside down so i might be wrong but the ratio is 3/2
Step-by-step explanation:
3:2 milk to ice cream
other ratios would be
6:4 9:6 12:4 15:5
(the question is slightly confusing but I think this is what they are asking for. )
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
deleted)
Twelve Divided by the sum of a number and five
ASAP PLZ HELP
A car traveling 65 kilometers per hour travels 195 kilometers. How long did it take the care to travel that distance at that speed?
Answer:hope it helps,
Step-by-step explanation:
if 22,x,y,31 are in ap. find the values of x and y
Answer:
x = 25, y = 28
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 22 and
a₄ = a₁ + 3d = 31 , that is
22 + 3d = 31 ( subtract 22 from both sides )
3d = 9 ( divide both sides by 3 )
d = 3
Thus
x = 22 + 3 = 25
y = 25 + 3 = 28
What is a constraint in math? For what situations would they be useful?
Answer:
Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. ... Constraints then become necessary to allow the mathematical model to realistically represent the situation. hope this helps!
Step-by-step explanation:
Answer: Constraints are restrictions (limitations, boundaries) that need to be placed upon variables used in equations that model real-world situations. Constraints then become necessary to allow the mathematical model to realistically represent the situation
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
Find the value of x
A-6
B- 4
C- 11
D- 5
Answer:
b.11
Step-by-step explanation:
3x+2+70=9x+6
put your like terms on one side:
9x-3x=70+2-6
6x=66
divide both sides by 6
x=11