Answer:
256
Step-by-step explanation:
By using power of a power rule, the result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.
What are exponential formulas?Exponents formulas refer to the formulas that help solve exponents. Exponent of a number is represented in the form: [tex]x^{n}[/tex], meaning x is multiplied by itself for n times. Here,
x is called the "base"
n is called the "exponent" or "power"
[tex]x^{n}[/tex] is read as "x to the power of n" (or) "x raised to n"
Power of a power rule : [tex](a^{m} )^{n}=a^{mn}[/tex]
Given exponential expression
[tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex]
[tex](4^{3} )^{2}[/tex] is in the form of power of a power rule [tex](a^{m} )^{n}=a^{mn}[/tex]
= [tex]4^{6}[/tex] × [tex]\frac{1}{4^{2} }[/tex]
= [tex]4^{4}[/tex] × [tex]4^{2}[/tex] × [tex]\frac{1}{4^{2} }[/tex]
= [tex]4^{4}[/tex]
= 256
The result of [tex](4^{3} )^{2}[/tex] × [tex](\frac{1}{4} )^{2}[/tex] is 256.
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8) The sum of nine times a number and 13 is equal to seven times the number,
Answer:
-7.5=x
Step-by-step explanation:
9x+13=7x
13=-2x
-7.5=x
Help PLSSS!!! URGENTTT!!!
Answer: intrest is the last one but i cant answer the others sorry
Step-by-step explanation:
i tried
You have $25 , then you babysat this week and earned $13.50. Then you spend $2.68 on a bag of chips . how much do you have left?
What is the slope of the line?
Answer:
slope is -x. Or -1/1.
Step-by-step explanation:
U can use the slope formula.
A volleyball player sets a volleyball straight up into the air. The height of the volleyball, , is modeled by this equation, where t represents the time, in seconds, after that ball was set.
The volleyball reaches its maximum height after 0.625 seconds. What is the maximum height of the volleyball?
Answer:
The maximum height of the volleyball is 12.25 feet.
Step-by-step explanation:
The height of the volleyball, h(t), is modeled by this equation, where t represents the time, in seconds, after that ball was set :
....(1)
The volleyball reaches its maximum height after 0.625 seconds.
For maximum height,
Put
Now put t = 0.625 in equation (1)
Hope this helps!!
7x-7=2x-2 what is the answer
Answer:
x = 1
Step-by-step explanation:
7x-7=2x-2
5x = 5
x = 1
Please answer this for me
The first few steps in deriving the quadratic formula are shown. A table listing the first few steps in deriving the quadratic formula Which best explains why is not added to the left side of the equation in the last step shown in the table? The term StartFraction b squared Over 4 a squared EndFraction is added to the right side of the equation, so it needs to be subtracted from the left side of the equation to balance the sides of the equation. The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation. The term StartFraction b squared Over 4 a squared EndFraction needs to be converted so it has a common denominator before adding it to the left side of the equation to balance the equation. The square root of the term needs to be found before adding the term to the left side of the equation to balance the sides of the equation.
The distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
How do you derive the quadratic formula?The quadratic equation is an equation of the form; y = ax^2 + bx +c. It a polynomial equation of degree 2.
Note that; the reason why the term b^2 / 4a^2 is not added to the left side of the equation is because the distributive property needs to be applied to determine the value to add to the left side of the equation to balance the sides of the equation.
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Answer:
Answer is B Ed2020
Step-by-step explanation:
trust me
Can anyone help me with this? Thank you!
If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?
Let's see what to do buddy...
____________________________
Reminder:
[tex](a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
So we need to just Multiply above equations like this :
[tex]x + y = 70[/tex]
[tex]x - y = 40[/tex]
[tex](x + y)(x - y) = 70 \times 40[/tex]
[tex] {x}^{2} - {y}^{2} = 2800 [/tex]
____________________________
And we're done.
Thanks for watching buddy good luck.
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Can somebody please answer this math equation I am offering a whole 60 Brainly points:
(52 5/7) / n^3=
Answer:
The answer is 369/ 7n ^3
Step-by-step explanation:
You convert the mixed number into an improper fraction-
369/7 / n^3
Next you simplify the complex fraction-
369/ 7n ^3
The solution is- 369/ 7n ^3
Hope this helps you! :) <33
How many quarts of water must be added to 7 qts of a 19% saline solution to obtain a 5% saline solution?
Answer: quantity of water added = 19.6 quarts
Step-by-step explanation:
Let x= quantity of water added
Then, Quantity of saline in 7 quarts solution = 19% of 7 = 0.19 (7)=1.33 quarts [to remove % divide number by 100]
When x quarts water is added , the quantity of solution becomes = x+7
Quantity of saline in it= 5% of (x+7)= 0.05(x+7)
Now, quantity of saline remains same, so
[tex]1.33= 0.05(x+7)\\\\\Rightarrow\ 1.33x=0.05x+0.35\\\\\Rightarrow\ 1.33-0.35=0.05x\\\\\Rightarrow\ x=\dfrac{0.98}{0.05}=19.6[/tex]
Hence, quantity of water added = 19.6 quarts
Which equation best represents the line graphed above?
Please help
Answer:
y=x+4
Step-by-step explanation:
Slope is positive and it goes up by 1 so it is just 1 and the y-intercept is 4 so it is y=x+4
-2/3x + 9 = 4/3x -3
Answer:
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
To solve, move all the x’s to one side and all the numbers. Remember when moving numbers to the other side of an equation, the sign changes from either a positive to a negative or vise versa.
9 + 3 = 4/3x + 2/3x
Next, add the like terms.
9+3=12
When adding fractions, add the numerator (top number), but first change denominator (bottom number) if not the same. Here, we don’t need to.
4/3x+2/3x=6/3x
So,
12 = 6/3x
Then, we have to divide each side by 6/3 to make the x alone.
12/6/3 = 6/3x/6/3
To divide with fractions, multiply the reciprocal (opposite number on number line):
12/1·3/6 = x
36/6 = x
6 = x
simplify 18 over 3/4
Answer:
What is 18/4 Simplified? - 9/2 is the simplified fraction for 18/4.
Step-by-step explanation:
Answer:
- 9/2
Step-by-step explanation:
42 divided by -6+5 show step by step
Answer:
17
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
42/-6+5
-7+5 = -2
which is a point 5 units to the left of 2
Answer:
1.5
Step-by-step explanation:
3) Car A and B travel in opposite directions. Both cars leave the same location at the same time. Car A is traveling west at a speed of 10 mph more than Car B, which is headed east. Find the speed of Car A if the two cars are 300 miles apart after traveling 3 hours. Chart is optional. Include units in your answer. *
Let, speed of car B is -x.
So, speed of car A is x + 10.
Relative speed of A w.r.t B is ,
[tex]v_{ab}=(x+10)-(-x)\\\\v_{ab}=2x+10\ mph[/tex]
So, time taken by A to travel 300 miles relative to B given by 3 hours .
[tex]v_{ab}=2x+10\\\\\dfrac{300}{3}=2x+10\\\\x = 45 \ mph[/tex]
Therefore, speed of car A is 45 + 10 = 55 mph.
Hence, this is the required solution.
Which set of ordered pairs represents a function?
\{(-6, 5), (-1, -2), (-4, -6), (-9, 5)\}{(−6,5),(−1,−2),(−4,−6),(−9,5)}
\{(-4, -4), (-4, 8), (-7, 1), (9, 7)\}{(−4,−4),(−4,8),(−7,1),(9,7)}
\{(-3, 4), (6, 1), (-8, -8), (-8, -5)\}{(−3,4),(6,1),(−8,−8),(−8,−5)}
\{(7, 9), (0, 4), (-2, 1), (7, 1)\}{(7,9),(0,4),(−2,1),(7,1)}
7x^2– 19x – 6
How do I factorize this expression?
Answer:
x = 3 and x = -2/7
Step-by-step explanation:
you can multiple -6 by 7 = -42
and then find what adds into -19 but can multiply together to get -42.
In this case (x-21)(x+2) would work
then you have to divide out your 7 from both numbers,
(x-21/7)(x+2/7)
then you have to make them equal to zero
x-21/7 = 0 = x = 21/7 = 3
x+2/7 = 0 = x = -2/7
so your final answer is x = 3 and x = -2/7
Where is the answer to the expression 3 − 7 located on a horizontal number line?
Answer:
4 units to the left of 3 7 units to the left of 3 4 units to the right of 3 7 units to the right of 3
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
Add 3 units to the right
Subtract 7 units to the left
Total = 4 units to the left
Or you can say -4
I hope this helps you :)
simplify.show work
30-2(3²+6)
thanks
Answer:
30−2(32+6)
=30−2(9+6)
=30−(2)(15)
=30−30
=0
What is 53,274 in expanded form?
Answer:
50,000 + 3,000 + 200 + 70 + 4
Step-by-step explanation:
Expand. Set all non-zero digits by itself:
53,274 = 50,000 + 3,000 + 200 + 70 + 4
Remember to fill in 0 for all digits. They must keep their value.
~
a. 1/2 cm per hour
b. 1 cm per hour
c. 2 cm per hour
d. 4 cm per hour
A cyclist rode at a constant speed of 21mph for 3 hours. Then she decreased her rate of speed to 17 mph for 4 hours. How far fid they cyclist ride in 7 hour
Answer: 131 miles; 21 x 3 = 63 + 17 x 4 = 68. 63 + 68 = 131 miles
Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.
What is the speed?
The magnitude of the change of its position over time or the magnitude of the change of its position per unit of time; it is thus a scalar quantity.
Here given that,
A cyclist rode at a constant speed of [tex]21[/tex]mph for [tex]3[/tex] hours. Then she decreased her rate of speed to [tex]17[/tex] mph for [tex]4[/tex] hours.
[tex]21[/tex] x [tex]3[/tex] [tex]=63 + 17 (4)[/tex]
[tex]= 131[/tex] miles
Hence, the cyclist ride in [tex]7[/tex] hour is [tex]131[/tex]miles.
To know more about the speed
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WIll Give brainly and 100 POINTS!
A system of linear equations is shown below
(y=2x+1
(y=-1/4x+3
Which eqution can be used to determine the value of x for the solution
A: 2x+1= -1/4x+3
B: 2x+1= -1/4x-3
C: 2x+1= 1/4x-3
D: 2x+1= 1/4x-3
Answer:
A: 2x+1= -1/4x+3
Given that the slope is -4 and the y intercept is -4 what is the equation of the line?
Answer: srry i think it is y = mx + b, where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.
Step-by-step explanation: where m is the slope and b is the y-intercept. Slope-intercept is the form used most often as the simplified equation of a line.
What is the difference between |–3| and –3?
Answer:
The lines beside the -3 on the left invert the negative/positive.
Step-by-step explanation:
See answer
can you work out the equation of the graph
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!
Answer:
30 bro cmon
Step-by-step explanation:
it's acute so the smallest would make sense cmon bruh u better than that