Answer:
11. [tex]57^{6/8}[/tex]
12. [tex]Y^{14/2}[/tex]
13. [tex]m^{\frac{o+p}{n}}[/tex]
14. [tex]81^{\frac{3}{50+x}}[/tex]
15. [tex]5^{2/3}[/tex]
Step-by-step explanation:
When converting from radicals to rational exponents, there's a quick, easy rule to remember:
[tex]\sqrt[n]{x} =\sqrt[\text{index}]{\text{radicand}}[/tex] the exponent is [tex]\frac{\text{power}}{\text{root}}[/tex][tex]\sqrt[n]{x} = x^{1/n}[/tex]The "power" represents the exponent of the radical/radicand, while the "root" represents the index.
11. the eight root of fifty-seven to the sixth degree.
Write the expression in radical form: [tex]\sqrt[8]{57^6}[/tex]Rewrite using the exponent rule (power over root): [tex]57^{6/8}[/tex]12. the square root of Y to the fourteenth power.
Write the expression in radical form: [tex]\sqrt[2]{Y^{14}}[/tex]Rewrite using the exponent rule (power over root): [tex]Y^{14/2}[/tex]13. the nth root of m to the o plus p degree.
Write the expression in radical form: [tex]\sqrt[n]{m^{o+p}}[/tex]Rewrite using the exponent rule (power over root): [tex]m^{\frac{o+p}{n}}[/tex]14. The fifth root plus x of eighty-one to the third power.
Write the expression in radical form: [tex]\sqrt[5+x]{81^{3}}[/tex]Rewrite using the exponent rule (power over root): [tex]81^{\frac{3}{50+x}}[/tex]15. The cube root of five squared.
Write the expression in radical form: [tex]\sqrt[3]{5^{2}}[/tex]Rewrite using the exponent rule (power over root): [tex]5^{2/3}[/tex]34% of the 6th graders and 50% of the 7th graders want to go to the water slides. What percentage of the 8th graders want to go to the water slides?
The percentage of the 8th graders to want to go to the water slides will be 70.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A fraction of 100 can be used to express the ratio.
The percentage of the 8th graders want to go to the water slides is found from;
[tex]\% (8 ^{th} grade)= 0.46-(0.5 \times 34 \%+0.3 \times 50\%_)\\\\ \% (8 ^{th} grade)=0.46-(0.17+0.15)\\\\ \% (8 ^{th} grade)=0.14\\\\ \% (8 ^{th} grade)= \frac{0.14}{0.20} \\\\ \% (8 ^{th} grade)=70\%[/tex]
Hence, the percentage of the 8th graders to want to go to the water slides will be 70.
To learn more about percentage refer:
https://brainly.com/question/13450942
#SPJ1
John plots the point with the polar coordinates (3,5π6).
How does he plot this point?
Drag a value or phrase into each box to correctly complete the statements.
John first determines which line the angle of rotation places the point on. This line tells John that the point must lie in if r is positive or Response area if r is negative.
The radius of 3 tells John that the point lies on the third circle of the polar plane. The value of r is positive. Therefore, the point will lie Response area the angle of rotation.
This line tells John that the point must lie in Quadrant 1 if r is positive or Quadrant 2 if r is negative. Therefore, the point will lie Quadrant 3 or 4 the angle of rotation.
How to find Polar Coordinates?
Step 1; John will start plotting the point by first of all seeing the sign of the radius and the value of the given angle.
Step 2; John will make a circle of the given radius, and plot the point at an angle given as a coordinate on the circle.
If r is positive, then the point will lie in Quadrant 1 or 2. However, If r is negative, then the point will lie in Quadrant 3 or 4.
In case r is positive, the point will lie in the same quadrant as the angle of rotation.
Read more about Polar Coordinates at; https://brainly.com/question/1511640
#SPJ1
Help please lol lol :))))
Answer:
is this required answer
Step-by-step explanation:
AB=3x-2
=3*8-2
=22
Answer:
[tex]\huge\boxed{\textbf{AB = 22}}[/tex]
Step-by-step explanation:
Given that:
AB = 3x - 2
Put x = 8
AB = 3(8) - 2
AB = 24 - 2
AB = 22
[tex]\rule[225]{225}{2}[/tex]
Can someone please solve this for me using that method thank you I give brainliest
Find the measure of the indicated angle to the nearest degree
Answer:
C
Step-by-step explanation:
All triangles come up to a 180 degrees so you can add and then subtract
37/16 as a decimal rounded to the nearest tenth
Answer:
2.3
CAN I GET BRAINLIEST PLEASE
Step-by-step explanation:
Answer:
2.3.Step-by-step explanation:
We know that:
the fraction is 37/16What we DON'T know is:
the decimal of 37/16.Solve for the decimal:
37/16= 2.3 (Can't find my explanation).Answer is 2.3.
A baker is making cakes for a big party. She uses 1/4 cup of oil for each cake. How many cakes can she make if she has a bottle of oil that has 6 cups in it? PRITTY PLEASE HELP!!! NOW (ASAP)
Answer:
24 Cups
Step-by-step explanation:
you just need to divide 6 by 1/4, whihc equals 24/1
x–23=17 solving the following equation
Answer:
X=42
Step-by-step explanation: x-23=17 you would do the inverse of subtracting which would be addition which would be 23+17 which equals 42
find the answer of given photo
The skewness of the plot is positive skewness, and the equation of the regression line is y = -0.052x + 2.706
The mean, standard deviation, min, max, etc.To do this, we make use of the following data values
15, 16, 16, 17, 17, 17, 20, 22, 22, 30
The mean is calculated using:
Mean = Sum/Count
So, we have:
Mean = (15+ 16+ 16+ 17+ 17+ 17+ 20+ 22+ 22+30)/10
Evaluate
Mean = 19.2
Using a graphing calculator, we have:
Standard Deviation, σ = 4.30
The min and the max are:
Min = 15
Max = 30
See attachment for the histogram.
From the attached histogram, we can see that the skewness of the plot is positive skewness
The percentage area between min and max expenses.The min and the max values are the range of the normal plot.
So, the percentage area between these values is 100%
Inspect three samplesLet the three samples be
16, 17, and 30
The sample mean is:
Mean = Sum/Count
So, we have:
Mean = (16 + 17 + 30)/3
Evaluate
Mean = 21
The sample mean is different from the population mean
Since the means are not equal, then we fail to accept the Null hypothesis.
The correlation coefficientTo do this, we make use of a graphing calculator with the following calculation summary:
X Values
∑ = 120Mean = 20∑(X - Mx)2 = SSx = 154Y Values
∑ = 10Mean = 1.667∑(Y - My)2 = SSy = 3.333X and Y Combined
N = 6∑(X - Mx)(Y - My) = -8R Calculation
r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))
r = -8 / √((154)(3.333)) = -0.3531
The correlation coefficient -0.3531 means that there is a negative correlation between the data values
The equation of the Regression lineTo do this, we make use of a graphing calculator with the following calculation summary:
b = SP/SSX = -8/154 = -0.05195a = MY - bMX = 1.67 - (-0.05*20) = 2.70563So, we have:
y = -0.052x + 2.706
Hence, the equation of the regression line is y = -0.052x + 2.706
See attachment 2 for the scatter plot.
Read more about scatter plots and histograms at:
https://brainly.com/question/6592115
#SPJ1
Calculate.
35 C12
Note: nCr=r(n=r)!
n!
[tex]\\ \rm\Rrightarrow {}^{35}C_{12}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!(35-12)!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{35!}{12!23!}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1.0333148e+40}{12383157381152686026522624000000}[/tex]
[tex]\\ \rm\Rrightarrow 834451800[/tex]
Answer:
834,451,800
Step-by-step explanation:
Factorial is denoted by an exclamation mark "!" placed after the number. It means to multiply all whole numbers from the given number down to 1.
Example: 4! = 4 × 3 × 2 × 1
Binomial Coefficient
[tex]\large \text{$ \rm ^{n}C_r=\dfrac{n!}{(n-r)!r!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{(35-12)!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}23!12!} $}[/tex][tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35!}{23!12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=\dfrac{35 \times 34 \times 33 \times ... \times 25 \times 24}{12!} $}[/tex]
[tex]\large \text{$ \rm \implies ^{35}C_{12}=834451800 $}[/tex]
r= 8.4 in
Calculate the diameter of the
circle.
Answer:
The diameter is 16.8
Step-by-step explanation:
The diameter is double the radius.
- -- - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]
r=8.4 in. What is the circle's diameter?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
Since the radius is exactly one-half of the diameter, we multiply the radius times 2 in order to find the diameter, which results in:-
d(diameter)=16.8 in
Good luck with your studies.-- - - - - - - - - - - - -- -- - - - - - - - - - - -- - -
The legs of a right triangle are 8 and 9 units long. What is the area of the triangle in square units?
Answer:
Step-by-step explanation:
Area of a triangle is a*b divided by 2
Lets assume a = 8 and b= 9
8 *
9=72
72/2=36
Solve the radical equation.
X+4=√x+10
What is the extraneous solution to the radical equation?
O The solution -1 is an extraneous solution.
O Both -1 and -6 are true solutions.
O The solution -6 is an extraneous solution.
O Neither -1 nor -6 is a true solution to the equation.
The answer is c
Step-by-step explanation:
that kind of wording is always misleading.
please give my regards and comments to your teacher.
a square root has ALWAYS 2 solutions : a positive AND a negative one.
in that sense the negative solution to a square root is NOT an extraneous solution.
only any value of x < -10 (to make the argument of the square root negative) as solution would be extraneous.
so, if your teacher wants to say that only the positive solutions of a square root are allowed, it has to be said as an extra definition or by applying the "+" sign to the square root.
so,
x + 4 = sqrt(x + 10)
since the 2 solutions are already given to us, we only need to use them in the equation and see what happens.
x = -1
-1 + 4 = sqrt(-1 + 10)
3 = sqrt(9) = 3 (actually, it is ±3)
so, x = -1 is a real solution.
x = -6
-6 + 4 = sqrt(-6 + 10)
-2 = sqrt(4) = 2 (actually, it is ±2)
so, based on your teacher's expectation of only positive results of the square root (even though it was not stated),
x = -6 is an extraneous solution.
therefore, the third answer (c) is the "correct" answer.
but actually, formally, the second answer (b) is the truly correct answer.
The product of a number and 7 less than the number is 260. Find the numbers.
Answer: 20,-13
Step-by-step explanation:
We can rewrite the problem as an equation. This equation is x(x-7)=260 (x being the mystery number). We can simply this into x^2 -7x=260. We can then rewrite this as x^2 -7x -260=0. We need to find the roots of this quadratic, which are -13 and 20. You can find this by factoring the quadratic.
x+y=1
3y=-3x+3
I don't know how to do this, I have tried everything, please help.
[tex]\begin{cases} x+y=1\\\\ 3y=-3x+3 \end{cases}\hspace{5em}\stackrel{\textit{using the 1st equation}}{x+y=1\implies y=1-x} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{3\stackrel{y}{(1-x)}~~ = ~~-3x+3\implies 3-3x=-3x+3}\implies 0~~ = ~~0[/tex]
now... the result could have been 3 = 3, or hmmm something like so, which is a bit of a flag hmmm let's take a closer look at the 2nd equation
[tex]\begin{cases} \boxed{x+y=1}\\\\ 3y=-3x+3 \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 3y=-3x+3\implies 3y=3(-x+1)\implies \cfrac{3y}{3}=-x+1 \\\\\\ y=-x+1\implies \boxed{x+y=1}[/tex]
let's notice, the 2nd equation is really the 1st one in disguise, so both equations are exactly equal. So what's the solution to that? well, there isn't one solution per se, if we were to graph both lines, it'll be the graph on one line pancaked on top of the other, and where they touch each other is the solution, well, hell they touch each other everywhere, and since both lines go to infinity, then they have infinitely many solutions.
a classmate states that if the radius of a circle is doubled, then its area is doubled. do you agree or disagree? if you disagree, how much larger do you think the area will be?
Answer:
yes
the area of a circle is πr^2
A=πr^2
which means the area of a circle is dependent on the size of the radius of the circle.
Take for instance, the radius is 3cm and π= 3.142
A = 3.142×(3^2)
A = 28.278cm^2
Another example, if the radius of the circle is increased to 4cm, what will be the area.
A = 3.142×(4^2)
A = 50.272cm^2
Matthew had to make a bridge for his math class. It had to be at least 1 1/2 feet long. Harold made a bridge that was 2 1/3 times as long as Matthew’s. What equation would you use to find out how long Harold’s bridge is? please help
The equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
What is an equation?The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.
Here we have the following data:-
Matthew's bridge length is [tex]=1\dfrac{1}{2}=\dfrac{3}{2}[/tex]
Now we have that Harold made a bridge that was 2 1/3 times as long as Matthew’s. From this data the equation will be:-
[tex]H=2\dfrac{1}{3}M\\\\\\H-\dfrac{7}{3}=0\\\\\\3H-7M=0\\\\\\3H-\dfrac{(7\times 3)}{2}=0\\\\\\H=\dfrac{7}{2}[/tex]
Hence the equation used for finding the length of Harold's bridge will be [tex]3H-7M=0[/tex] and Length will be H = [tex]\dfrac{7}{2}[/tex]
To know more about equations follow
https://brainly.com/question/2972832
#SPJ1
Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)
Shifted up
shifted left
shifted right
shifted down
Find shift
f(x-6)
(x-6)²So
f(x)=x²x is decreased 6 units
So
The graph will shift 6 units right
Graph attached
Answer:
shifted right
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=x^2[/tex]
Translated 6 units to the right: [tex]f(x-6)=(x-6)^2[/tex]
Given the following equation, what is the slope of the linear function?
Answer:
2/3
Step-by-step explanation:
The slope sits next to the x in the slope-intercept equation, y=mx+b. Slope is the m. In the equation in the problem y=2/3x-2.
The slope is 2/3.
please help me do my mathematics assignment experts
Step-by-step explanation:
try this option, note: 1) task 'd' is solved only; 2) the answer is marked with green colour.
i need help with 7th grade math please need help ASAP + brainleist
Step-by-step explanation:
the area of garden is 970.08
Answer:
970. 08 [tex]ft^2[/tex]
Step-by-step explanation:
The rose garden is made up of 2 shapes: rectangle and a half-circle.
1. We start by finding the area of the rectangle...
[tex]31*24[/tex]We get 744 [tex]ft^2[/tex]2. Then find the area of the half-circle
The area of a circle is [tex]\pi r^2[/tex]We need to divide it by half since we only have half the area [tex]\frac{\pi r^2}{2}[/tex]The question only gives us the diameter (24), to find the radius we divide by 2 to get 12Now plug 12 for r [tex]\frac{\pi(12^2)}{2}[/tex]Plug 3.14 for [tex]\pi[/tex], [tex]\frac{3.14(12^2)}{2}[/tex]Compute: 226.08 [tex]ft^2[/tex]3. Add the areas together
[tex]744 + 266.08[/tex]Finally, we have 970.08 [tex]ft^2[/tex]TIMED, PLEASE ANSWER QUICKLY
Given the figure above, which of the following statements is not necessarily true?
A. ZG ZD
B. ABCD HEFG
C. DAGH
D. DCGF
Answer:
A.
Step-by-step explanation:
Mainly because i dont see ZG ZD on the figure.
Answer:
The first answer is Correct answer ZG ZD
At lunch, Kira eats either a burrito containing 490 milligrams of sodium or a peanut butter sandwich containing 700 milligrams of sodium. Her doctor told her to reduce her sodium to no more than 4,000 milligrams per week. Which inequality represents x, the number of microwave burritos, and y, the number of peanut butter sandwiches, she can eat each week?
490x + 700y < 4000
490x + 700y ≤ 4000
490x + 700y > 4000
490x + 700y ≥ 4000
Answer: 490*x + 700y ≤ 4000
It is ≤ as it can either be equal to 4000 per week or less than.
Answer:
B.Step-by-step explanation:
Use mathematical induction to prove that, for n ≥ 1, n³ – n is divisible by 3.
Answer:
Step-by-step explanation:
make x the subject: y=x+p/x-p
step-by-step explanation please
Answer:
x = p + yp / y - 1
Step-by-step explanation:
y = x+p / x-p
y(x-p) = x + p
y(x-p) -x = p
yx - yp - x = p
yx - x = p + yp
x(y - 1) = p + yp
x = p + yp / y - 1
Find the value of sin E rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
using sin formula
[tex]\frac{sin~E}{15} =\frac{sin ~90}{39} \\sin ~E=15 \times ~\frac{1}{39} =\frac{5}{13}[/tex]
What is the value of x?
Answer:
a) 20
Step-by-step explanation:
90 - 46 = 44
44 - 4 = 40
40/2 = 20
Mrs. Peterson needs a piece of rug 28 dm wide and 38 dm long to put on the floor
Of her living room. What is the area of the rug that she needs?
Answer:
1,064dm^2
Step-by-step explanation:
The formula for Area
—> A = lw
Plug our units into the formula
A = 38(28)
A= 1064dm^2
a cubic function has the following properties
f'(1)=0
f'(3)=0 = f(3)=0
f(0) =0
f'(2)>0
Draw a rough sketch of f
write two equations that when graphed look like this *see image*. please help its due soon and i will give ya 75 points for answering CORRECTLY thanks, 5 stars, and brainlist.
The graph is showing the equation of circle x²+y²=4
What is a circle?A circle is a two-dimensional geometry on the plane having a centre point and the circular line is drawn equidistant from the centre point.
The given graph in the question represents the equation of the circle cutting the points on the x-axis and y-axis at 4 which is the radius of the circle.
The equation will be as follows:-
x²+y²=4
Hence the graph is showing the equation of circle x²+y²=4
To know more about circles follow
https://brainly.com/question/24375372
#SPJ1
