Answer:
[tex]\frac{1}{108}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^m}[/tex]
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^m}[/tex]
[tex]a^{\frac{1}{3} }[/tex] × [tex]b^{-\frac{3}{2} }[/tex] ← substitute a = 8 and b = 36
= [tex]8^{\frac{1}{3} }[/tex] × [tex]36^{-\frac{3}{2} }[/tex]
= [tex]\sqrt[3]{8}[/tex] × [tex]\frac{1}{36^{\frac{3}{2} } }[/tex]
= 2 × [tex]\frac{1}{(\sqrt{36})^3 }[/tex]
= 2 [tex]\frac{1}{6^3}[/tex]
= 2 × [tex]\frac{1}{216}[/tex]
= [tex]\frac{1}{108}[/tex]
In 10 minutes a heart can beat 700 times.At this rate in how many minutes will a heart beat 140 times? AT what rate can a heart beat
Answer:
2 minutes
Step-by-step explanation:
700/10 = 70
1 minute = 70 times
140/70 = 2 minutes
Answer:
2 minutes
Step-by-step explanation:
The heart beats 70 times per minute so 70+70=140.
Number line fractions
Answer:
-7/4 is between -2 and -1 1/2
11/4 is in between 2 1/2 and 3
Step-by-step explanation:
-7/4 is -1.75 which means its right before -2
11/4 is 2.75 which means it's right before 3
[tex](8+0+-2²-7)²+7[/tex]
[tex](8+0-2A^{2} -7 )A^{2} +7= (1-2A^{2} )A^{2}+7 = A^{2} -2A^4 +7[/tex]
ok done. Thank to me :>
Help me with this please
Answer:
5
Step-by-step explanation:
By process of elimination, we can say for sure that C and D are not the right answers because as x- the numbers on the top- increases, y- the numbers on the bottom- increases. This means that the slope is not negative, because the slope is the rate of change and it does not have a negative rate of change.
The equation for slope is y2-y1 / x2-x1. Meaning, y is on top and x is on bottom. This creates a fraction. So let's take 0 and 1 for X, the first and second values, and 3 and 8 for y, the first and second values. We swap them, because the second y value comes first, so we have 8 - 3 for the top, the numerator. Then we have 1 - 0 for the bottom, the denominator. Solving 8 - 3 and 1 - 0, we have 5/1. 5/1 simplifies to 5, and thus 5 is your slope.
Melinda paints 7/8 of a wall in 1 1/6 hours.What part of a wall does Melinda paint in 1 minute?
Answer:
A part of a wall that Melinda paints in 1 minute is: x = 1/80
Evaluate the expressions. Show your thinking.
10/25 x 10
Answer:
4
Step-by-step explanation:
[tex]\frac{10}{25}[/tex] × 10
[tex]\frac{100}{25}[/tex]
4
can the pythagorean theorem be used for any triangle
Answer:
No, only for right angle Δ
Step-by-step explanation:
It is only used for right angle triangles
Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential
Answer:
(4) exponentialStep-by-step explanation:
According to given, the function is:
A = P(1 + r)ⁿor
A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰This is an exponential relationship
Correct choice is (4)
To determine the money Eric will have in his bank account, he needs to use an exponential function.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.
Here, S = sum of money after the total period of investment.
P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.
Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3
Hence, after 10 years, Eric will have $705.3 in his bank account.
Learn more about compound interest here: https://brainly.com/question/25857212
#Tag #SPJ2
peter and pam are both avid swimmers
Answer: that they are
Step-by-step explanation:
I need some help with this one I'm lost!
Answer:
-334
Step-by-step explanation:
tyes sfdfa d
what would the answer be
Answer:
60
Step-by-step explanation:
Does this relationship represents a function? Explain why or why not. (F.IF.A.1)
y
-5
4
-2
-5.4
-2.1
2 B4
5
X
Edit
View
Insert
Format
Tools Table HELP PLEASE
Step-by-step explanation:
no, it does not.
because almost every valid value of x (from -3 to +3) has 2 associated result values of y.
like x = 0 has y = 3 and y = -3.
but for a function there can be only ONE associated y value for every valid x value.
What are the values of m and n
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The required values are ~
[tex]m = 60 \degree[/tex][tex]n = 30 \degree[/tex]Refer to attachment for solution ~
Mrs. Jones knows how to use texting, instant messenger, emailing,
calling, and mailing letters to communicate with her students. She must select
2 method of communication out of the 5 to send her students an important
message. In how many ways can she choose the communication method?
Answer:
6869
Step-by-step explanation:
Choose the steeper line.
y=1/2x-3
or
y=1/4x -8
Hello!
y=1/2x-3 is steeper than y=1/4x-8.
We calculate the slope using Rise/Run.
The rise is 1, and the run is 2 (how many units we move left of right)
If you graph these lines, you will see that the line y=1/2x-3 is steeper than y=1/4x-8
Hope this helps!
~Just a cheerful gal
Answered by
[tex]SilentNature[/tex]
a polygon has a interior angle 172
find the number of sides of this polygon
Answer:
45 sides
Step-by-step explanation:
exterior angle + interior angle = 180° , that is
exterior angle + 172° = 180° ( subtract 172° from both sides )
exterior angle = 8°
The sum of the exterior angles of a polygon = 360°
To find the number of sides n , divide 360° by 8°
n = 360° ÷ 8° = 45
Answer:
45 sides
Step-by-step explanation:
If each of the interior angles is 172 degrees, then each of the exterior angles is 8 degrees. Since the sum of the exterior angles of any polygon is 360 degrees, there are 360 / 8 = 45 exterior angles and 45 sides
Find [tex]f'(4)[/tex] if [tex]f(x)=2x^2-3[/tex]
Explain how you got your answer.
Answer:
[tex]f'(4)=16[/tex]
Step-by-step explanation:
First, we need to find the derivative:
[tex]f'(x)=(2)(2)x^(^2^-^1^)-0[/tex]
[tex]f'(x)=4x[/tex]
Now, we need to plug in 4 for x:
[tex]f'(4)=(4)(4)=16[/tex]
2q+6=12. 2q=6. Q= plz help me
Answer:
2q=6 Subtract both sides by 6
q=3 Divide both sides by 2
Step-by-step explanation:
2q+6=12
2q=6 Subtract both sides by 6
q=3 Divide both sides by 2
Hope this helps :)
Answer:
Well this is common algebra
So you want to isolate the variable so in this case you subtracted 6 on both sides.
Now you jsut divide both sides by 2 which is 2q/2=q
6/2=3
q=3
M=8;(-2,16) write an equation in slope intercept given the slope and a point on the link
Answer:
y = kx+b
Step-by-step explanation:
use dis
Write an equation in point-slope form of the line that passes through (-3, 2) and (6, - 1)
Answer:
y - 2 = -1/3 (x + 3)
Step-by-step explanation
Sorry!
Point-slope form )
Slope = (-1 -2)/(6 - (-3)
Slope = -3/9
Slope = -1/3
Using the point-slope formula and point (-3, 2)
y - 2 = -1/3(x - (-3)
y - 2 = -1/3 (x + 3) This is = to y = -1/3(x + 3) +2
A backback originally costs $35 it is on sale for $22.75 find the percent of decrese
Answer $12.25
Step-by-step explanation: edmentum
No Links
12. An electrician charges a 45.00 dollars travel fee plus 30.00 dollars per hour of labor. Let y be the cost in dollars for x hours of work. Write the slope-intercept form of the equation.
y = 45+30x
13. Using the equation from number 12, if the electrician works 3 hours on a job, how much will the bill be?
14. Using the equation from number 12, if you have a budget of 300.00 dollars for this job, what is the most full hours the electrician can work? Note: You want the largest number of hours without going over your budget.
Answer:
12. y=30x+45
13. 135 dollars
y=45+30(3)
y=45+90
y=135 dollars
14. 8 full hours
300=45+30x
255=30x
x = 8.5 or 8 full hours
primary school has 140 girls and 90 boys.
The probability that a girl wears glasses is 0.4
The probability that a boy wears glasses is 0.3
Estimate the number of pupils wearing glasses in the school.
Answer:
140*0.4=56
90*0.3=27
56+27=83
Hope This Helps!!!
Answer:
the answer is 6.5 people are wearing glasses that means that 6-7 people are wearing glasses
Please help me answer thi question
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )
m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0
find the surface area of this triangular prism
please help me
108 ft square
Step by step
5x8 is 40
3x4 is 12 x 1/2 is 6.
Again, 3x4 is 12 x 1/2 is 6
8x4 is 32
8x3 is 24
Add that all tigether and its 108
Write an equation that represents the line. Use exact numbers
Answer: [tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Step-by-step explanation:
take 2 points and use slope formula to find slope
[tex]\frac{4-2}{4-1}[/tex][tex]=\frac{2}{3}[/tex]
take the slope and a point on the graph and use point slope formula to get equation in point slope intercept form
[tex]y-2=\frac{2}{3}( x-1)[/tex]
[tex]y-2=\frac{2}{3}x-\frac{2}{3}[/tex]
[tex]y=\frac{2}{3}x-\frac{2}{3} + 2[/tex]
[tex]y=\frac{2}{3}x+1\frac{1}{3}[/tex]
Solve for x
………………..
Which is the graph of linear inequality 6x + 2y > –10?
On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded.
Hope it helps :) and let me know if you want me to explain why
Answer:
A
Step-by-step explanation:
DECYPHERED
are the lines in the figure parallel, perpendicular, or neither?
Answer:
Perpendicular
Step-by-step explanation:
perpindicular
Step-by-step explanation:
Perpindicular has multiple sides and has a 90 degree plane
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.