Answer:
2.21073919x10^23
Step-by-step explanation:
Apply the Negative Exponent Rule. Negative exponents in the numerator get moved to the denominator and become positive exponents. Negative exponents in the denominator get moved to the numerator and become positive exponents.
Answer:
6³⁰
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We are given the expression:
[tex]\frac{(6^{-4})^{-9}}{6^{6}}[/tex]
Simplifying the expression
We can multiply the 2 exponents on the numerator to get:
[tex]\frac{6^{36}}{6^{6}}[/tex]
We can switch the sign of the exponent on the denominator to get it's reciprocal
[tex]{6^{36}}*6^{-6}[/tex]
Since the bases are the same, adding the powers
[tex]{6^{36-6}}[/tex]
[tex]{6^{30}}[/tex]
Hence, the given expression can be simplified to 6³⁰
What is the ratio for5to 10
Answer:
answer would be 1:2
Step-by-step explanation:
you have to find the greatest common divisor of 5 and 10 and you divide 5 and 10 by the greatest common divisor.
The greatest common divisor that you can apply for 5:10 is 5 which means the answer to the ratio of 5:10 is:
1:2
Jack has the following scores on exams in his math class 81, 87 93, 89, 61 81 If he wants to make his performance sound as good as possible, which measure should he use the mean, the median, or the mode of his exam grades when he talks about how he is doing? Explain In you response, make sure to a calculate the mean, o calculate the median, and c calculate the mode of his exam grades D compare and pick the measure that makes his performance sound as good as possible. plz explain
Answer:
mean is 82, Median is 84, mode is 81
Step-by-step explanation:
The mean of the given data set is 82, median is 84 and mode is 81.
The given data set is 81, 87 93, 89, 61, 81.
What is the median?The median is the value that's exactly in the middle of a dataset when it is ordered.
Now, the ordered pair is 61, 81, 81, 87, 89, 93.
Median = (81+87)/2
=168/2
=84
Mean = Sum of all the observations/Number of observations
= (61 + 81 + 81 + 87 + 89 + 93)/6
= 492/6
= 82
Mode = The mode is the value that appears most frequently in a data set.
Here, 81 is the most frequently in the given data set.
Therefore, the mean of the given data set is 82, median is 84 and mode is 81.
To learn more about the arithmetic mean visit:
https://brainly.com/question/23706022.
#SPJ5
find the answer for 10 + 10
Answer:20
Step-by-step explanation:
What is the equation of the line that has a slope of 4 and passes through the point (-1, 4)?
O y = 4x + 8
O y = 4x - 1
O y = 4x + 4
Answer:
y = 4x + 8
Step-by-step explanation:
Plug x = -1 into each of the equations, and see which one results in y = 4.
The first equation will be the only correct answer.
y = 4x + 8
y = -4 + 8
y = 4
Answer:
[tex]y=4x+8[/tex]
Step-by-step explanation:
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
Here's what the variables mean:
[tex]y[/tex] = the y-coordinate
[tex]m[/tex] = the slope of the line
[tex]x[/tex] = the x-coordinate
[tex]b[/tex] = the y-intercept (the value of y where the line crosses the y-axis)
Because the slope of the line is 4, we can plug that into our equation as [tex]m[/tex]:
[tex]y=4x+b[/tex]
Now, all we have to do is solve for [tex]b[/tex], the y-intercept. We can do this by plugging the point (-1, 4) into the equation as [tex]x[/tex] and [tex]y[/tex].
[tex]4=4(-1)+b[/tex]
Solve the equation
[tex]4=4(-1)+b\\4=-4+b[/tex]
Add 4 to both sides to isolate [tex]b[/tex]
[tex]4+4=-4+b+4\\8=b[/tex]
Therefore, [tex]b[/tex], or the y-intercept, is equal to 8.
Now, when we plug the y-intercept into our equation, we get:
[tex]y=4x+8[/tex]
I hope this helps!
Why are these triangles similar?
Answer:
sas
Step-by-step explanation:
Help please! This has to do with the Pythagorean theorem.
Answer:15.62 units
Step-by-step explanation:
just the two legs squared = diagonal squared, so then square root the diagonal so u get a real number
[tex]\sqrt{x + 12} = x+5[/tex]
We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
Find the solution to the system of equations.
You can use the interactive graph below to find the solution.
\begin{cases} y=-7x+3 \\\\ y=-x-3 \end{cases}
⎩
⎪
⎪
⎨
⎪
⎪
⎧
y=−7x+3
y=−x−3
Answer:
(1,-4)
Step-by-step explanation:
Given:
y = −7x+3
y = −x−3
Computation:
y = −7x+3......eq1
y = −x−3.......eq2
Eq 1 - 2
-6x + 6 = 0
x = 1
So,
y = −7x+3
y = −7(1)+3
y = -4
So,
(1,-4)
A friend told Sandy that absolute value makes everything positive so Sandy wrote the equation |x-6|=5 as x+6=5. Do you agree with the statement, or with what Sandy did to the equation? Explain your answer.
Which calculation and answer show how to convert 11/25 to a decimal?
Answer:
this is the answer
Step-by-step explanation:
1125=11×425×4=44100=0.44
i need help with this slope...
Answer:
The slope is 3/2
Step-by-step explanation:
(x1,y1)=(12,16)
(x2,y2)=(34,49)
m= y2−y1 /x2−x1
49−16 /34−12
33 /22
3 /2
Answer:
-3/2
Step-by-step explanation:
y1-y2 / x1-x2
16- 49/12-34
33/22 or -3/2
I hope this helped, Have a Wonderful Day!!
Marcos reads 3, books in 1 weeks.
At this rate, how many books does Marcos read iQ 1 week?
Enter your answer in the box.
Answer:
Marcos reads 3 books
Step-by-step explanation:
The question is asking how many books he read in 1 week, and it said "Marcos reads 3, books in 1 weeks. At this rate, how many books does Marcos read in 1 week?", so he read 3 books.
Find the measure of X plz
Answer:
X = 44°
Step-by-step explanation:
The angle other than 68°and and x is also 68° because its a isosceles triangle.
so 68° + 68° + x = 180° (angle sum property)
136° + x = 180°
x = 180 - 136
= 44°
hope this helps.
Answer:
44
Step-by-step explanation:
two lines are similar so there angel are the Same
peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have
Answer:
peter = $54
jane = $36
Step-by-step explanation:
let peter = x
let jane = y
peter + jane = $90
x+y = 90 --------- (1)
peter gave jane $16 = x-16
jane gets extra $16 from peter = y+16
peter would have $14 less than jane
jane - peter = $14
(y+16)-(x-16) = 14
y+16-x+16 = 14
y-x+32 = 14
y-x = 14-32
y-x = -18 ---------- (2)
x+y = 90 --------- (1)
y-x = -18 --------- (2)
from (1)
x+y = 90
y = 90-x --------- (3)
substitute (3) into (2)
y-x = -18
90-x-x = -18
90-2x = -18
-2x = -18-90
-2x = -108
x = 54
substitute x = 54 into (3)
y = 90-x
y = 90-54
y = 36
x = peter = $54
y = jane = $36
HELP ME PLEASE WITH GIVE YOU BRANLEST 20 POINTS
Answer:
A: 1min 12sec B: 1 lap C: 25min and 12 sec
Step-by-step explanation:
A: 5/6 = 1/x (ratio of the laps and time)=1 min 12sec
B: 1 lap
C: 25 minutes and 12sec
8. Given: AD perpendicullar DB, DB perpendicullar BC, AB = CD Prove: AB||DC
Step-by-step explanation:
Angle ADB = Angle CBD = 90° (given)
Side AB = Side DC (given)
Common side DB / BD
By HL congruence, triangles ABD and CDB are congruent.
Therefore Angle ABD = Angle CDB
=> Line AB is parallel to Line DC (Z angles)
Which of the following is a property of a parallelogram?
a. The diagonals are congruent.
b. The diagonals bisect the angles.
c. The diagonals are perpendicular.
d. The diagonals bisect each other.
Answer:
The opposite sides are "parallel and congruent". The opposite angles are congruent. The consecutive angles are supplementary. If anyone of the angles is a right angle, then all the other angles will be the right angle.
Step-by-step explanation:
What are the possible degrees for the polynomial function?
Answer:
and "Bumps"
Purplemath
Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.
I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".
For instance, the following graph has three bumps, as indicated by the arrows:
y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0
Brian has been saving $7 each week. Today he spent $77 of the savings, and he now has $42 left. For how many weeks has he been saving?
Answer:
11+6 17 weaks cuz 7x11=77 and 42=7x6=77+42=119
1 On average, Shawnte drinks 2 of a 6-ounce glass of water in hour. How much water 3 does she drink in an hour?
Answer:
3/4 of a 6-ounce glass
Step-by-step explanation:
Given time = 2/3 of hour
As hour = 60 min
= 120/3
= 40 mins
So,
40 mins: water in take is 3 ounce
1 minute: water in take is 3/40
60 mins: water in take is (3/40) x 60 = 4.5 ounce
Why is the square root of 1.95 an irrational number?
Answer:
because if u divied it it is dum as
Step-by-step explanation:
which of the following is a characteristic of the circumcenter of a triangle? multi-choice. A. it is the center of the only circle that can be inscribed in the triangle. , B. it is the center of the circle that can be inscribed in given a given triangle. C. it is the center of the only circle that can be circumscribed about the triangle. D. it is equidistant from all three sides of the triangle.
Answer:
C
Step-by-step explanation:
The circumcenter is called ”the circumcenter” because it is the center of the circle that ”circumscribes” the triangle.
I hope this helps!
Further explanation:
For a circle to circumscribe something, it circles it so that each of the vertices are on the circle, so each of the vertices are equidistant from the circumcenter. The circumcenter of a triangle is formed by the perpendicular bisectors of its sides.
Side note:
The rest of the choices describe an incenter.
A baker orders 162 eggs. Each carton contains 18 eggs. Determine which equation can you use to find the number c of cartons.
If the slope is -2 and the y-intercept is -5, then the linear equation is y = -2x - 5.
True
False
Answer:
true
Step-by-step explanation:
u are right
Answer:
True
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = -2; b = -5
Then your linear equation will be:
y = -2x -5
If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?
Answer:
7040 Yards
Step-by-step explanation:
First, you have to divide 5280 by 3, to get 1760 yards
Then you have to multiply 1760 by 4
Finally, you should get the answer of 7040 yards :D
Answer:
The other person who answered it already explained it but the answer is 7,040
Step-by-step explanation:
Four customers at a grocery store are buying apples. The table shows how many pounds of apples each customer bought and how much each customer paid.
After the previous four customers, another customer, Timothy, spent $28.00 buying apples.
We can determine that Timothy bought ------------
of apples.
A: 11
B: 12
C: 14
D: 16
Jasmine enlarged a drawing she made in art class,what is the value of x
Answer: The answer is 50 :)
Step-by-step explanation:
Help me with math question please, will give 20 points
in step 2 he made his first mistake
1/2(n-4)-3=3-(2n+3)
1/2n-4/2-3=3-(2n+3)
1/2n-2-3=3-(2n+3)
in the second step he put 5 instead of 2.
RENT? GIVE ME RENT If the mean of six nu m b e rs is 48, does one
of the nu m b e rs have to be 48? Explain
why or why not. Give an example with six
nu m b e rs to show your answe
Answer:
No, none of the number need to be 48 for the mean to be 48. To get a mean, you add up all the number and divide it by the amount of numbers.
Example:
the mean of 10, 79, 42, 88, 19, and 50 is 48, but the actual number 48 was not part of the set.
10 + 79 + 42 + 88 + 19 + 50 = 288
288 ÷ 6 = 48
17 Ryan and two friends volunteered to deliver
potted flowers to one wing of the hospital.
They have 18 flowers to deliver. If they each
deliver the same number of flowers, how
many flowers will each boy deliver?