When we use an exponent of 1/2, it is the same as a square root. The more general rule is
[tex]\sqrt{x} = x^{1/2}[/tex]
In this case, we plug in x = 10.
The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because
[tex]\sqrt[3]{x} = x^{1/3}[/tex]
Many calculators don't have a button labeled [tex]\sqrt[3]{}[/tex] but they have the button [tex]x^y[/tex] to allow fractional exponents.
Which is equivalent to 8x−y+3x?
Answer:
11x - y
Step-by-step explanation:
Convert a distance of 4500 yards to miles
Answer:
2.556818 miles
Step-by-step explanation:
help!! Ill give you 33 points!!!!
Direct variation uses the equation y = kx, where I is the constant of variation.
1. Is not a direct variation because the line is curving so the change in x is not constant.
2 and 3 Are straight lines, so Show direct variation. You can find 2 points on each line and calculate the slope which would be a constant variation.
25 points BRAINIEST and 5 stars with a thanks if you help
Answer:
1/4
Step-by-step explanation:
3 red + 6 green = 9 total
P( red) = red/total = 3/9 = 1/3
Now we don't put it back
2 red + 6 green = 8 total
P( green) = green/total = 6/8 = 3/4
P (red, keep,green) = 1/3 * 3/4 = 1/4
5. Simplify the expression.
5+4·(8 — 6)2
013
O21
036
040
Answer:
21
Step-by-step explanation:
Use PEMDAS
P ---> Parenthesis
E ----> Exponents
M & D -------> Multiplication & Division
A & S ------> Addition & Subtraction
5 + 4*(8 - 6)² = 5 + 4*(2)²
= 5 + 4*4
= 5 + 16
= 21
Given the similar triangles, find the value of X.
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar we can find x using similarity ratio
14/8 = (x+6)/(x-3) simplify first expression
7/4 = (x+6)/(x-3) cross multiply expressions
7×(x-3) = 4×(x+6)
7x-21 = 4x + 24 add like terms
3x = 45
x = 15
B is the midpoint of line AC and E is the midpoint of line BD. If A(-9,-4), C(-1,6), and E(-4,-3) find the coordinates of D?
Answer:
((-9 - 1)/2, (-4 + 6)/2) = (-5,1)
((-5 + x)/2, (1 + y)/2) = (-4,-3)
(-5 + x)/2 = -4
-5 + x = -8
x = -3
(1 + y)/2 = -3
1 + y = -6
y = -7
(-3,-7)
PLZ HELP ASPPP
Find the MIDPOINT of the following two points:
(3,-1) (2,4)
Answer:
The answer is [tex](\frac{5}{2} , \frac{3}{2} )[/tex]
Step-by-step explanation:
(3,-1) (2,4)
Plug into the midpoint formula:
[tex](\frac{x_{2}_+x_{1}}{2}} ,(\frac{y_{2}_+y_{1}}{2}})[/tex]
[tex](\frac{2+3}{2}}), (\frac{4-1}{2}})[/tex]
Solve:
[tex](\frac{5}{2}}), (\frac{3}{2}})[/tex]
Pls mark brainliest!
Hope this helps! :)
A typical red blood cell in human blood has a diameter of approximately 0.007 mm. Enter this diameter in scientific notation.
In scientific notation, this diameter is × 10 mm.
What is the answer?

Using scientific notation it is found that the diameter of a red blood cell in human blood is of:
[tex]7 \times 10^{-3}[/tex] mm.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
In this problem, the diameter is of 0.007 mm, hence:
[tex]0.007 = 0.07 \times 10^{-1} = 0.7 \times 10^{-2} = 7 \times 10^{-3}[/tex]
Hence in scientific notation, the diameter is:
[tex]7 \times 10^{-3}[/tex] mm.
More can be learned about scientific notation at https://brainly.com/question/16394306
#SPJ1
A simple random sample of 36 men from a normally distributed population results in a standard deviation of 10.1 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
Complete parts (a) through (c) below.
a. Identify the null and alternative hypotheses.
b. Compute the test statistic. χ2 = ___ (round to three decimals)
c. Find the P-value. P-value=____(Round to four decimal places as needed.)
d. State the conclusion. (reject null/ eccept null)
Answer:
Step-by-step explanation:
Given that:
sample size n = 36
standard deviation = 10.1
level of significance ∝ = 0.10
The null hypothesis and the alternative hypothesis can be computed as follows:
[tex]H_0 : \sigma = 10[/tex]
[tex]H_1 : \sigma \neq 10[/tex]
The test statistics can be computed as follows:
[tex]X^2 = \dfrac{(n -1)s^2 }{\sigma ^2}[/tex]
[tex]X^2 = \dfrac{(36 -1)10.1^2 }{10^2}[/tex]
[tex]X^2 = \dfrac{(35)102.01 }{100}[/tex]
[tex]X^2 = \dfrac{3570.35 }{100}[/tex]
[tex]X^2 =35.704[/tex]
degree of freedom = n - 1 = 36 - 1 = 35
Since this test is two tailed .
The P -value can be determined by using the EXCEL FUNCTION ( = 2 × CHIDIST(35.7035, 35)
P - value = 2 × 0.435163515
P - value = 0.8703 ( to four decimal places)
Decision Rule : To reject the null hypothesis if P - value is less than the 0.10
Conclusion: We fail to reject null hypothesis ( accept null hypothesis) since p-value is greater than 0.10 and we conclude that there is sufficient claim that the normal range of pulse rates of adults given as 60 to 100 beats per minute resulted to a standard deviation of 10 beats per minute.
The sum of two number is seven and the sum of their cube is 133 find the sum of their squares
Answer:
The sum of their squares = 29.
Step-by-step explanation:
Let's us first find out the numbers
we must first break number 7:-
1+6=7
2+5=7
3+4=7
And other combinations when we change the number postion
°) now let us look which numbers cubes when added makes 133:-
A) First one 1+6=7
Sum of Cubes=1+216=217 (it does not satisfy our Conditions)
B) Another one 2+5=7
Sum of Cubes 8+125=133 (satisfy the condition)
C) Last one 3+4=7
Sum of cubes 24+64=88 (does not satisfy)
Now we know the numbers(2,5) so as per question we need to find out sum of their square
Square of 2=4
Square of 5=25
Therefore, the sum of there square is 4+25=29.
20.00
20.00 x
1.00
0.00
Function or Not a Function
Circle One
Answer:
The function would be 20.00
Step-by-step explanation:
I think...I dont really know if any of those numbers are functions cause I always have ordered pairs as functions but whatever lol
calculate discount percentage on a short whose Marked price is 800 and sale price is 80
Answer:
640
Step-by-step explanation:
we turn the 80% into decimal so:
80÷100= 0.8
Then we multiply to find the discounted amount:
800×0.8= 640
A model of a car has a scale of 1:25.
The model is 18 cm long.
Calculate, in metres, the actual length of the car.
Assuming you are saying 1 cm to 25 cm, the answer is 450 cm or 4.5 meters.
For every 1 cm of the model, it is 25 cm in real life.
The model is 18 cm long.
18×25=450 cm
There are 100 cm in a meter.
450÷100 is 4.5
The car is 4.5 meters in real life.
♡ Hope this helps! ♡
❀ 0ranges ❀
Pls helppp me this is very very urgent
Answer:
1. 5040
2. 20
Step-by-step explanation:
1. using the formula for permutation
nPr=n!/(n-r)!
10P4 = 10!/(10-4)!
=10*9*8*7*6!/6!
then we are left with
=10*9*8*7
=5040
2.using the formula for combination
nCr=n!/(n-r)!r!
6C3=6!/(6-3)!3!
=6*5*4*3!/3!3!
=6*5*4/3*2*1
=20
Christopher rides his bike to and from school every day . The total distance he rides each day is 7 over 8 miles
Answer:
29.82
Step-by-step explanation:
First you have to do 127.8 divided by 60 to get how many miles he bikes a day, which is 2.13 Next, you multiply 2.13 by 2 weeks 2 weeks = 14 days So from then you do 2.13 x 14 which is 29.82 Chris bikes 29.82 miles in two weeks.
(i answered this question once and i used it from a friend but hope this helps)
Solve for z.
-p(d + z) = -2z+ 59
z=
Answer:
Z=pd+59/2-p
Step-by-step explanation:
2z-pd-pz-59=0
2z-pz=pd+59
z(2-p)=pd+59
z=pd+59/2-p
Solve the following equation, using the Bhaskara formula: x² - 5x + 6 = 0
[tex]x^2-5x+6=0[/tex]
[tex]x=\frac{-(-5)\pm\sqrt{(-5)^2-4\times1\times6}}{2\times1}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-4\times6}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{25-24}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm\sqrt{1}}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5\pm1}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{5-1}{2}\;\;\;\vee\;\;\;x=\frac{5+1}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=\frac{4}{2}\;\;\;\vee\;\;\;x=\frac{6}{2}\Leftrightarrow[/tex]
[tex]\Leftrightarrow x=2\;\;\;\vee\;\;\;x=3[/tex]
Answer: [tex]x\in\{2\;;\;3\}[/tex]
[tex]\sf\dfrac{-(-5)\pm\sqrt{\sf (-5)^2-4\cdot1\cdot6}}{2\cdot1}[/tex]
[tex]\sf\dfrac{5\pm\sqrt{\sf 25-24}}{2}[/tex]
[tex]\sf\dfrac{5\pm\sqrt{\sf 1}}{2}[/tex]
[tex]\sf\dfrac{5\pm1}{2}[/tex]
[tex]\sf x'=\dfrac{5-1}{2}~~~~~~x''=\dfrac{5+1}{2}[/tex]
[tex]\sf x'=\dfrac{4}{2}~~~~~~~~~~~~x''=\dfrac{6}{2}[/tex]
[tex]\sf x'=2~~~~~~~~~~~~~x''=3[/tex]
⠀⠀
Solutions = {2, 3}
⠀⠀
⠀⠀
I hope that helps !!
-8/5 divided by 5/-6 PLS HURRY!!!
Answer: 48/25
Step-by-step explanation:
Answer:
48/25 as an improper fraction, 1 23/25 as a mixed fraction.
Step-by-step explanation:
It is -8/5 divided by 5/-6.
First of all, you can get rid of the negative signs becasue there are two. Negative and Negative equals positive, so we already know that the answer will be positive.
So, we now have 8/5 divided by 5/6.
When you divide fractions, the fraction being divided is turned to it's reciprocal. To get a fraction's reciprocal, just flip the numerator and denominator's places. It's that easy!
Here is an example: 2/3's reciprocal is 3/2. The numbers just get flipped!
That would mean 5/6's reciprocal would be 6/5. Don't find the reciprocal of 8/5 because it is not the number that is getting divided. When you find a reciprocal you can change the division sign into a multiplying sign.
Example: 2/3 divided by 4/5. Reciprocal of 4/5 is 5/4. Now it is 2/3 TIMES 5/4.
Back to the problem.
We now have 8/5 TIMES 6/5. When you multiply fractions, just multiply both numerators, in this case being 8 and 6, and the denominators, in this case being 5 and 5. So 8 times 6 is 48. 5 times 5 is 25.
We now have 48/25, which can be reduced to 1 23/25!
For the mixed number, if you are confused, 25 goes into 48 only one time. So, the whole number is 1. but when 25 goes into 48 only one time, there is still 23 left because 48-25= 23. 23 is our new numerator! The denominator stays the same. So, it's 1 23/25. :)
The San Andreas fault separates the pacific plates from the North America plate. The pacific plate moved northward relative to the North American plate at a rate of 5.7 cm/year. Currently LA and San Francisco are about 470km away from each other, how long will it take for LA and SF to be next to each other? Answer in years
Answer:
The time, t it will take LA and San Francisco to be next to each other is 8,245,614.04 years which is over 8 million years
Step-by-step explanation:
The given parameters are;
The speed with which the pacific plate moved northward relative to the North American plate = 5.7 cm/year = 5.7 × 10⁻⁵ km/year
The distance between current LA and San Francisco = 470 km
From the formula for speed, s, we have
Speed = Distance/Time
Therefore, Time, t = Distance/Speed
The time, t it will take LA and San Francisco to be next to each other is given as follows;
t = (Distance between LA and San Francisco)/(The speed with which the pacific plate)
t = (470 km)/(5.7 cm/year) = 470/(5.7 × 10⁽⁻⁵⁾) = 8245614.04 years
Therefore, the time, t it will take LA and San Francisco to be next to each other is 8245614.04 years.
Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y)
Answer:
f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f at given point & direction = 1
Step-by-step explanation:
The function & points are not given,
Considering them as general example : f (x,y) = sin (x,y) & points = (1,0)
Maximum rate of change in f (x,y) happens in direction of ∇ f (1,0)
∇ f (x,y) = [ df / dx , df/ dy ]
= [ y cos (xy) , x cos (xy) ]
∇ f (1,0) = [ 0, cos (0) ] = (0,1)
Magnitude at (1,0) = ∇ f (1,0) = √ 0^2 + 1^2 = 1
Find the coordinates of two points on the given line, and then use those coordinates to find the slope of the line 3x + 5y = 15
Answer:
slope is -3/5
Step-by-step explanation:
3x + 5y = 15
5y = -3x + 15
y = -3/5x + 3
slope is -3/5
Complete the Square:
5x^2+16x-40=8
(please show your steps)
Answer:
Step-by-step explanation:
divide through by the coefficient of [tex]x^{2}[/tex]
[tex]\frac{5x^{2} }{5}[/tex] + [tex]\frac{16x}{5} + \frac{-40}{5} = \frac{8}{5}[/tex]
[tex]x^{2} +\frac{16}{5}x -8 =\frac{8}{5}[/tex]
[tex]x^{2} +\frac{16}{5} x = \frac{8}{5} +8[/tex]
[tex]x^{2} + \frac{16}{5} x =\frac{48}{5}[/tex]
Add half of the square of the coefficient of x to both sides [tex](\frac{1}{2} X \frac{16}{5} ) ^{2}[/tex]
[tex]x^{2} + \frac{16}{5}x + (\frac{1}{2} X \frac{16}{5} )^{2} =[/tex] [tex]\frac{48}{5} +(\frac{1}{2} X \frac{16}{5} )^{2}[/tex]
[tex]x^{2} +\frac{16}{5} x +(\frac{16}{10}) ^{2} =\frac{48}{5} +\frac{64}{25}[/tex]
[tex](x +\frac{16}{10})^{2} =\frac{304}{25}[/tex]
[tex]x +\frac{16}{10} =[/tex]±[tex]\sqrt{\frac{304}{25} }[/tex]
[tex]x = -\frac{16}{10}[/tex] ± [tex]\sqrt{\frac{304}{25} }[/tex]
[tex]x=-\frac{16}{10} + \sqrt{\frac{304}{25} }[/tex] or[tex]-\frac{16}{10} - \sqrt{\frac{304}{25} }[/tex]
[tex]x = 1.89[/tex] or -5.09
5 more than 2 times a number
Answer:
2x+5
Step-by-step explanation:
Five more than two times a number would be 2 times x which is a number plus five because more means adding
[MA5T10 C] Name the property being illustrated.
45 + 27 = 27 + 45
A) Distributive Property
B) Associative Property
C) Commutative Property
D) Equality Property
Answer: C
Step-by-step explanation: the equation on the opposite side is the same
If the number 4 were added to the set { 2,3,3,3,4,5,8 }, which central tendency would change?
Answer:
The central tendency that changes is the median.
Step-by-step explanation:
- The mean without number 4 is 28.
28/7 = 4
But if we add the 4, the mean would be 32.
32/8 = 4
The mean does not change.
- The mode also does not change because the number that appears most frequently is 3.
- And the range does not change either since the range is the subtraction of the largest number with the smallest, in this case:
8 - 2 = 6
- On the other hand, the median is the middle number, without 4 the median would be 3, but with 4 the median would be 4 + 4/2, which is the same 4.
You are at a restaurant and the check comes to a total of $37. If you want to leave a
19% tip, how much total money should you pay, to the nearest cent?
Answer:
$44.03
Step-by-step explanation:
Payment due:
$3719% tip:
$37*0.19 = $7.03Total payment:
$37+ $ 7.03= $44.03$ 44.03 to be paid in total including 19% tip.
Answer:
the tip you would give is $7.03
A commercial jet liner hits an air pocket and drops 223 feet. After climbing 177 feet it drops another 162 feet. What is its overall vertical change?
The jets overall vertical change is
?? feet
Answer: it's 248 I just did the question .
Step-by-step explanation:
I NEED HELP SO BADLY!!!!!!!!!! WHAT IS THE PERIMETER????? IF CORRECT, I WILL GIVE U BRAINLIEST
Answer: 34
Step-by-step explanation: B=10 S1=12 S2=12. Add them up
Answer:
I'm assuming the sides are 12 and the bottom 10 so your perimeter is 34
If you count the boxes the line of the triangle takes up, its 12 and the bottom is 10
Sides: 12
bottom: 10
If you add them up:
12 + 12 + 10 = 34
X^0= 1
Is it True or is it False?
Answer:
true
Step-by-step explanation:
any number to the power of 0 would equal 1