Answers
(3^8 x 2^ -5 x 9^0)^ -2 x (2^-2/3^3)^4 x 3^28
Any non-zero expression raised to the power of equals
Step 2:(3^8 x 2^-5 x 1)^-2 x (2^-2/ 3^3)^4 x 3^28
Step 3: (3^8 x 2^-5 x1)^-2 x 2^-8/ 3^12 x 3^28
Any expression multiplied by remains the same
Step 4 : (3^8 x 2^-5)^-2 x 2^-8/3^12 x 3^28
To raise a product to a power, raise each factor to that power
Step 5 : 3^-16 x 2^10 x 2^-8/ 3^12 x 3^28
Reduce the expression with
Step 6: 3^-16 x 2^10 x 2^-8 x 3^16
Calculate the product
2^2
Evaluate , and then your answer is 4!!!!
Related Questions
How much time will it take for a bug to travel 10 meters across the floor it is traveling at
a rate of 2 m/s?
Answers
Answer:
5 seconds
Step-by-step explanation:
First let's use the equation.
D (Distance) = Speed (s) x Time (t)
Now let's find the components given in the problem.
Distance = 10 meters
Speed = 2 m/s
Now let's substitute the values in.
10 = 2t
Now let's solve for t.
10 = 2t
t = [tex]\frac{10}{2}[/tex]
t = 5
Therefore, it will take 5 seconds.
Hope this helped! If not, please let me know! <3
This is it if you can’t solve it it’s fine!
Answers
Answer:
is 115
Step-by-step explanation:
i think since 7 checks equal 50, 14 must equal 100. and the other kid already had 15 dollars i think so that makes sense......... i think
Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get?
Answers
Individual computer lab sessions at a school are 24 minutes long. On Monday, 313 students each completed a session at the computer lab. What is the total number of minutes the students spent at the computer lab?
Answers
Answer:
7512 minutes
Step-by-step explanation:
313 students each completed a 24 minute session. Which would be
313 · 24 = 7512
hope this helps... please amkr brainliest answer if correct:)
PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!
Answers
the second option, on the second attachment
domain: -6<x<-2 or x>-2
range: -3[tex]\leq[/tex]y[tex]\leq[/tex]1 or 4<y<8
Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.
Answers
Answer:
r = 66
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)
m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then
[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )
r - 10 = 56 ( add 10 to both sides )
r = 66
-15b - 20
factorise fully
!!!
Answers
Answer:
-5 (3b+4)
Step-by-step explanation:
-15b - 20
-5 (3b+4)
Which of the following is a solution to the Equation 2x^2+4y=3=3x^2
A)-1
B)0
C)3
D)6
Answers
Answer:
3
Step-by-step explanation:
I think 3 is the answer
find the value of each variable 4y 3x 8 12
Answers
Answer:
4x812y3
Step-by-step explanation:
What is the expression in factored form?
2x^2+ 19x + 24
Answers
Answer:
factor by group the answer will be (2x+3)(x+8)
Step-by-step explanation:
Mark as Brainliest!!!Hope this Helps:)
4x10^-6 + 6.8x10^7=
Answers
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation y = 2.375sin((StartFraction pi Over 6 EndFraction x minus StartFraction pi Over 2 EndFraction))+12.125, where x = 0 represents December, x = 1 represents January, etc.
Answers
Answer: 1,2, 5
Step-by-step explanation:
The amount of daylight fluctuates between 4.5 between least to greatest, and the graph required 3 months of horizontal shift compared to the parent function y = sin x, and the greatest number of sunlight can be 14.5 hours, so options A, B, and E are correct.
What is average?The middle number, which is obtained by dividing the sum of all the numbers by the variety of numbers, is the average value in a set of numbers. To calculate the average of a set of data, add up all the values and divide the result by the total number of values.
Given:
The average number of daylight hours, y, in a month for a particular city over the course of a 12-month year can be determined using the equation
y = 2.375 sin [(π / 6)x - π / 2]+ 12.125,
Calculate the greatest number of daylight as shown below,
y = 2.375 sin[30 - 90] + 12.125
y = 14.5 hours
Hence, the greatest number of sunlight can be 14.5 hours,
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Jill is building a wooden raised bed garden for her vegetable she wants the frame to have dimension X feet by X +3 feet if she wants the garden to have a maximum area of 50 ft.² what are the possible values of X
Answers
Answer: 0ft < X ≤ 5.73ft
Step-by-step explanation:
In this case, we have a rectangle.
For a rectangle of length L and width W, the area is:
A = L*W.
And we have:
L = X
W = X + 3ft.
Then the area will be:
A = X*(X + 3ft) = X^2 + 3ft*X.
And we want to have a maximum area of 50ft^2.
Then we can write:
A = X^2 + 3ft*X ≤ 50ft^2
Now let's solve this for X.
Now, the first thing we can see is that both coefficients in our quadratic equation are positive, so as the absolute value of X increases, also does the whole equation.
Then makes sense start for the upper limit of X, this is when:
X^2 + 3ft*X = 50ft^2.
Now we can solve the quadratic equation:
X^2 + 3ft*X - 50ft^2 = 0
Applying the Bhaskara formula, the solutions are:
[tex]X = \frac{-3ft +- \sqrt{(3ft)^2 - 4*1*(-50ft^2)} }{2} = \frac{-3ft +-14.46ft }{2}[/tex]
Then we have two solutions:
X = (-3ft - 14.46ft)/2 = -8.73 ft.
X = (-3ft + 14.46ft)/2 = 5.73 ft
Because X represents a distance, it can only be positive, then we must select the option X = 5.73ft.
This is the maximum value of X, and we will have:
0ft < X ≤ 5.73ft
Where the lower limit is there because we can not have X = 0ft, as this does not have physical meaning.
write an equation of the parabola in intercept form that passes through (14,4) with x intercepts of 12 and -6
Answers
Answer:
i need the answer to pleasee... asnwer this question
Write the equation of the line that passes through the given points. (0,-5) and (8,0)
Answers
Answer:
[tex]y=\frac{5}{8}x-5[/tex]
Step-by-step explanation:
You're given two points, using that you can use the slope-finding formula:
[tex]slope=\frac{(y^{2} - y^{1}) }{(x^{2} - x^{1})}[/tex]
After that, match up the y-coordinates with each other and the same goes for the x-coordinates. It should look something like this:
[tex]slope = \frac{(0-(-5))}{(8-0)} \\\\=\frac{5}{8}[/tex]
5/8 is your slope. Using the general slope formula y=mx + b, you know that m is the slope and b is the y-intercept. So now you know your slope, plug it into the formula, along with one of the given points. In this case, I will be using (8, 0) because it is easier to solve.
[tex]m = \frac{5}{8}\\ \\y = (\frac{5}{8} )x+b\\(8, 0)\\(0) = \frac{5}{8}(8) + b\\ 0 = 5 + b\\\\-5 =b\\ \\y=\frac{5}{8}x-5[/tex]
You can see I replaced the x and y with the given values accordingly. Then you simplify by subtracting the five on both sides and your y-intercept is -5. Then combine your slope and y-intercept to get your answer!
Hope that helped!
-Bob Ross
how do i show (6y-2) to the power of 2 simplified 36y^2 -24y+4
Answers
Answer:
420 69x1.38 (122) 12344
A 34-year-old woman has a maximum heart rate of 175 bpm. She plans an exercise program so that her heart rate will be between 80% and 90% of her maximum heart rate for at least 30 minutes a day, 3 days a week. Calculate the desired range of heart beats per minute for this exercise program
Answers
Answer:
The desired range is from 141 bpm to 157 bpm
Step-by-step explanation:
Given that the maximum heart rate = 175 bpm.
She plans an exercise program to reach the desired heart rate which is in the range of 80% and 90% of the maximum heart rate.
So, the lower limit of the desired heart rate = 80% of the maximum heart rate
=\frac{80}{100}\times 175= 140 bpm
and the upper limit of the desired heart rate = 90% of the maximum heart rate
=\frac{90}{100}\times 175= 157.5 bpm
So, mathematically, the desired range is between 140 bpm and 157.5 bpm.
The heart-beats per minute should be a counting number, so, round the upper limit to the lower integral value to be within the range.
Hence, the desired range is from 141 bpm to 157 bpm.
What is the slope of the line through (2. 8) and (4, 1)?
Answers
Answer:
m = -7/2
Step-by-step explanation:
PLEASE HELP THIS IS DUE IN 6 MinUTES
Answers
help me out bro
7 (x-3)+3 (4-x)= -8
Answers
Answer:
x = 1/4
Step-by-step explanation:
remove the parenthesis
collec like terms
caculate
move constant to the right
calculate
divide both sides
Which graph below has an x-intercept of (6, 0) and a y-intercept of (0, 4)
Answers
What is (4,5) reflected on the x-axis
Answers
Answer:
(4, -5)
Step-by-step explanation:
(4, 5) is 4 units to the right of the y-axis and 5 units above the x-axis.
When you reflect point (4, 5) over the x-axis, the new point is still 4 units to the right of the y-axis, so its x-coordinate is still 4. The distance that was above the x-axis now is below the x-axis, so the y-coordinate is -5.
Answer: (4, -5)
If f(x) = 7x + 9, what is the value of f(2)?
Answers
Answer: f ^− 1 ( x ) = x /7+ 9/ 7
Step-by-step explanation:
Replace f ( x ) with y .
y = 7 x− 9
Interchange the variables.
x = 7 y − 9
solve for y
y = x/ 7 + 9 /7
Solve for y and replace with f ^− 1 ( x ) .
f ^− 1 ( x ) = x /7+ 9/ 7
what is the relationship between the radius and diameter of a circle?
Answers
The relationship between the radius and diameter of a circle is that the diameter is twice the length of the radius.
In other words, the diameter of a circle is equal to 2 times the radius. Mathematically, this relationship can be expressed as:
Diameter (D) = 2 * Radius (r)
This relationship is consistent for all circles. No matter the size of the circle, the diameter will always be exactly twice the length of the radius. The radius is the distance from the center of the circle to any point on the circle's circumference, while the diameter is the distance from one point on the circumference to another, passing through the center. Understanding this relationship is essential in various geometrical calculations and formulas involving circles.
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You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality
Answers
Answer:
d
Step-by-step explanation:
I really need help hurry
Answers
Answer:
the answer is A. {-1, 1, 3}
Step-by-step explanation:
please help im really confused with this question <3
Answers
Answer:
anyways kikiwaka nana
Step-by-step explanation:
zu zu zu fheibgerghberg
rejgnerkgnerjgeik
Slope Steps:
The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answers
Answer:
if u get it pls tell me
Step-by-step explanation:
Help me please need help
Answers
Answer:
w = 10
Step-by-step explanation:
I did the math and and I got 10
Hope it helps!! :D
Answer:
w = 10?
Step-by-step explanation:
PLEASEEE HURRY!!! And please show work thank youuu