Answer:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
It is a power function.
Step-by-step explanation:
We are given the following function in the question:
[tex]y =\displaystyle\frac{1}{4}x^{0.5}[/tex]
We have to check whether the given function is a power function or not.
Power Functions :
A power function is of the form:[tex]f(x) = ax^p,[/tex]
where a is a constant and not equal to zero and p is a real number.
Comparing the given function, we get:
[tex]a = \displaystyle\frac{1}{4}\\\\p = 0.5[/tex]
Hence, the given function is a power function.
The equation y = 1/4x^0.5 is a power function because it fits the general form of a power function, y = ax^n, with a constant coefficient and a real number exponent.
Explanation:Yes, the function y = 1/4x^0.5 is indeed a power function. A power function is of the form y = ax^n, where a is a constant and n is a real number, representing the power of x. In the given function, a is equal to 1/4, and n is 0.5, which is equivalent to the square root of x (since raising a number to the 0.5 power is the same as taking its square root).
Therefore, we can express the square root of x as x raised to the power of 1/2, fitting the form of a power function.
how do you calculate circumference from area
use the formula of a circle or pi times radius r squared = Area then use the formula for the circumfrence of a circle which is two times pi time radius r = circumfrence then isolate r in the formula (for area)
sqrt(A/pi) then multiply the raduis r by 2*pi to get the circumference
C = 2*pi*sqrt(A/pi)
Answer:
See below
Step-by-step explanation:
Given the area A you can find the radius of a circle.
A = πr^2
so r^2 = A / π
and r = the positive square root of A/π.
Having found the radius r you can calculate the circumference C using
C = 2πr.
What number completes the following sequence
48, 24, 12, 6
Answer:
3
Step-by-step explanation:
48 - 24 = 24
24 - 12 = 12
12 - 6 = 6
6 - 3 = 3
Thats the pattern
Plzzz mark brainlest and thank me
Solve the system of equations by the substitution method. Then use the solution to evaluate the expression 2x(−3+y).
6x+2y+1=13+10y−x
5x=y+26−2x
The value of the expression is....
[tex]\left\{\begin{array}{ccc}6x+2y+1=13+10y-x\\5x=y+26-2x\end{array}\right\\\\\left\{\begin{array}{ccc}6x+x+2y-10y=13-1\\5x+2x-26=y\end{array}\right\\\left\{\begin{array}{ccc}7x-8y=12&(**)\\y=7x-26&(*)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**)\\\\7x-8(7x-26)=12\\7x-(8)(7x)-(8)(-26)=12\\7x-56x+208=12\\-49x=12-208\\-49x=-196\qquad\text{divide both sides by (-49)}\\\boxed{x=4}\\\\\text{put the value of x to}\ (*)\\\\y=7(4)-26\\y=28-26\\\boxed{y=2}\\\\\boxed{x=4\ and\ y=2}[/tex]
[tex]\text{Put the values of x and y to the expression}\ 2x(-3+y):\\\\2(4)(-3+2)=8(-1)=-8\\\\Answer:\ \boxed{\text{The valuie of the expression is -8}}[/tex]
Use the substitute method to solve the system of equations.
3x+y=10
y=2x
A. (-2,4)
B. (2,-4)
C. (2,4)
D. (4,2)
Answer:
C
Step-by-step explanation:
plug in y = 2x into the first equation
3x+2x = 10
5x = 10
x = 2
put it into the second equation because its easier
y = 2(2)
y = 4
(2, 4)
multiply
your answer should be in a monomial standard form
(7h^3)(3h^7)
Answer:
21 h^10
Step-by-step explanation:
(7h^3)(3h^7)
Lets multiply
7*3 h^3 h^7
When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)
21 h^(3+7)
21 h^10
[tex]Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}[/tex]
Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week. How should Mark divide his spinner to best simulate the situation?
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Mark should divide the spinner in 20 equal sized sections.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces.
Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead.
This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1.
If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then, a spinner with 20 sections is still a lot.
It is better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Hence he should divide the spinner in 20 equal sized sections.
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choose the equation of the horizontal line that passes through the point (-2,-1)
A) y= -1
B) y= -2
C) x= -2
D) x= -1
Answer:
y =-1
Step-by-step explanation:
We are given a point (-2,-1)
Also given that a horizontal line passes through the above point.
We have to find the equation of the horizontal line.
We know that any straight line in xy plane is of the form
y = mx+b where m=slope of line and b = y intercept.
Here given that the line is horizontal and hence the angle it makes with x axis is 0.
Slope of line= m = tan 0 =0
Hence equation of line using point slope form is
y-y1 = m(x-x1) . Here m =0 and (x1,y1) = (-2,-1)
Hence equaiton of line is
y+1 =0(x+2)
Or y =-1
So option A is right answer.
PLEASE HELPPP
In the system of equations, which variable would it be easiest to solve for?
2x+4y=26
3x+y=9
A.The easiest to solve for is x in the first equation.
B.The easiest to solve for is y in the first equation.
C.The easiest to solve for is x in the second equation.
D.The easiest to solve for is y in the second equation.
What three numbers multiply to equal 240
Answer:
8,3, and 10 or 6,4, 10, or 12, 2, and 10
Step-by-step explanation:
You just multiply each of the 3 numbers to equal 240
There are plenty of triples of numbers (x,y,x) that satisfy x*y*z = 240. Some integer candidates include (1,1,240), (1,2,120), (2,5,24), (3,5,16), (4,6,10) and many more. If you don’t restrict your attention to integers, there are even more candidates.
Hope This Helps!!!
-Austint1414
some help would be good
[tex]\frac{\frac{x}{4}+\frac{1}{8}}{\frac{x^2}{4}}=\frac{\frac{2x}{8}+\frac{1}{8}}{\frac{x^2}{4}}=\frac{\frac{2x+1}{8}}{\frac{x^2}{4}}=\frac{2x+1}{8}:\frac{x^2}{4}=\frac{2x+1}{8}\cdot\frac{4}{x^2}=\frac{2x+1}{2x^2}[/tex]
(5 ×5×5)×-1= simplify
Answer: -125
Step-by-step explanation:
(5*5*5)*-1
(25*5) *-1
125 * -1
-125
Answer:
-125
Step-by-step explanation:
5*5*5 = 125
125*-1 = -125
How do you write n+-m in standard form
Answer:
n - m
Step-by-step explanation:
It will be written as n - m. Only 1 sign in the middle is needed to be written.
m - - n = m + n
m - + n = m - n
A company is testing and comparing two lightbulb designs. The box plots show the number of hours that each lightbulb design lasts before burning out. Which statement is best supported by the information in the plots?
Answer:
Design B bulbs will likely last longer than design A bulbs
Step-by-step explanation:
The B box part spans higher numbers than the A box and the median of B bulbs is higher than median of the A bulbs.
Answer:
Design B bulb will likely last longer than design A bulbs
Step-by-step explanation:
Got it right on IM
Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:
Quadrilateral FGHI is shown on the coordinate plane with coordinates F at negative 6, negative 1. G at negative 1, negative 1. H at negative 2, negative 4. I negative 7, negative 4. Point A is at 3, 8 and point D is at 1, 2.
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(3, 8) and point D(1, 2), what is another point that could represent a corner of the trail?
a) (10, 8)
b)(6, 8)
c) (8, 8)
D) (13, 8)
Answer:
The correct option is D.
Step-by-step explanation:
From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.
Distance formula
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}[/tex]
[tex]AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}[/tex]
The scale factor is
[tex]\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2[/tex]
Therefore the length of sides of image is twice of preimage.
The vertices A and D are image of F and I respectively.
The length of FG is
[tex]FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5[/tex]
Therefore the length of AB is 10 units and length of CD is also 10 units.
The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).
The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).
Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.
Answer: D) (13, 8)
:)))
A grocer can buy strawberries for $1.38 per pound. write an equation relating c, the cost, and p, the pounds of strawberries.
Answer:
1.38p=C
Step-by-step explanation:
each pound is $1.38 and pounds is p they have to equal to C, the total.
Alisa uses 3/4 of a gallon of paint to paint her room better uses for 50 gallon more than Alecia to paint her room how many gallons of paint do they use together
Answer:
51.5 gallons.
Step-by-step explanation:
Given that amount of gallons of paint used by Alisa [tex]=\frac{3}{4}[/tex]
Given that amount of gallons of paint used by Better [tex]=50+\frac{3}{4}[/tex]
Now we need to find about how many gallons of paint do they use together. To find that we just need to amount of gallons used by both.
[tex]\frac{3}{4}+50+\frac{3}{4}[/tex]
[tex]=\frac{3}{4}+\frac{3}{4}+50[/tex]
[tex]=\frac{6}{4}+50[/tex]
[tex]=1.5+50[/tex]
[tex]=51.5[/tex]
Hence final answer is 51.5 gallons.
What pattern to you see in exercise 7?
Solve by elimination. 3x+7y=48 5x-7y=-32
3x + 7y = 48
5x - 7y =-32
8x = 16
x = 2
3(2) +7y = 48
7y = 42
y = 6
[tex] \frac{10(x - y) - 4(1 - x)}{3} = y[/tex]
[tex]7 + x - \frac{x - 3y}{4} = 2x - \frac{y + 5}{3} [/tex]
so first off, let's simplify both equations, starting off by multiplying both sides by the LCD of all fractions, to do away with the denominators.
[tex]\bf \cfrac{10(x-y)-4(1-x)}{3}=y\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{10(x-y)-4(1-x)=3y} \\\\\\ 10x-10y-4+4x=3y\implies \boxed{14x-13y=4} \\\\[-0.35em] ~\dotfill\\\\ 7+x-\cfrac{x-3y}{4}=2x-\cfrac{y+5}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( 7+x-\cfrac{x-3y}{4} \right)=12\left( 2x-\cfrac{y+5}{3} \right)} \\\\\\ 84+12x-3(x-3y)=24x-4(y+5) \\\\\\ 84+12x-3x+9y=24x-4y-20\implies \boxed{-15x+13y=-124}[/tex]
now, let's do some elimination on those two simplified equations.
[tex]\bf \begin{array}{cllcl} 14x&-13y&=&4\\ -15x&+13y&=&-124\\\cline{1-4} -x&&=&-120 \end{array}~\hfill x=\cfrac{-120}{-1}\implies \blacktriangleright x=120 \blacktriangleleft \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{14(120)-13y=4}\implies 1680-13y=4\implies 1680-4=13y \\\\\\ 1676=13y\implies \blacktriangleright \cfrac{1676}{13}=y \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left( 120~,~\frac{1676}{13} \right)~\hfill[/tex]
what is the absolute value of 8/9
The absolute value of 8/9 is 8/9 or |8/9| = 8/9 after using the concept of the absolute value function.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 8/9.
As we know, if x is any real number then the absolute value of the x can be written as:
|x| = x; x > 0
|x| = -x; x < 0
We have; x = 8/9
|8/9|
and 8/9 > 0
|8/9| = 8/9
Thus, the absolute value of 8/9 is 8/9 or |8/9| = 8/9 after using the concept of the absolute value function.
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Subtract 6 3/5-2 1/4. Simplify the answer and write as a mixed number
DIstributive property to match equivalent expression 7(-4-x)
Answer:
-28-7x
Step-by-step explanation:
You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x
Select all that apply.
A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?
The point was reflected over the y -axis and translated up 4 units.
The point was translated right 10 units and reflected over the x -axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y -axis and translated down 4 units.
__________________________________________________
Point A , located at (-2, 4), is translated down 6 units. What are the coordinates of A '?
1. (-8, 4)
2. (-8, -2)
3. (-2, -2)
4. (-2, 4)
__________________________________________________
Point B , located at (-4, -7), is reflected over the y -axis. What are the coordinates of B '?
(-4, 7)
(4, -7)
(4, 7)
(-4, -7)
Answer:
The point was reflected over the y -axis and translated up 4 units.
The point was translated left 10 units and up 4 units.
_________________________________________________________
3. (-2,-2)
_________________________________________________________
B' = (4,-7)
Answer:
B and F
Step-by-step explanation:
SOS!!! thank u so much im struggling real hard over here
Answer:
I was able to do 6-8 but 9 I got stumped on as well.
Step-by-step explanation:
ms. guerra picked 32 students to help her decorate her door. she picked 8 more girls than boys. what is the experimental probability of ms guerra picking a girl? express your answer as a fraction in simplest form.
Answer:
5/8
Step-by-step explanation:
First we need to figure out how many girls and boys there are.
g = girls
b = boys
g = b+8 ( eight more girls than boys)
b = g-8
There are 32 students)
g+b =32
Substitute b = g-8 into the equation
g + (g-8) = 32
Combine like terms.
2g-8 = 32
Add 8 to each side.
2g -8+8 = 32+ 8
2g = 40
Divide by 2
g = 20
There are 20 girls
The experimental probability of picking a girl is
girls/ total
20/32 = 5/8
Find the sum of 5-9i and -4+7i, subtract 14-3i
Answer:
-13 -i
Step-by-step explanation:
The first step is to find the sum
5-9i and -4+7i
Add the real parts and then the imaginary parts
5+-4 = 1
-9i + 7i = -2i
5-9i + -4+7i = 1 -2i
Now we subtract 14 -3i
1 -2i - (14 -3i)
Subtract the real parts and then the imaginary parts
1-14 = -13
-2i - -3i = -2i+3i = i
1 -2i - (14 -3i) = -13 -i
A bag has six balls labeled
,
,
,
,
, and
.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing a letter from
to
.
If there is more than one element in the set, separate them with commas.
Sample space--
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from D to F.Then the sample space is:
Sample space= {D,E,F}
The sample space of a bag with balls labeled A to F is {A, B, C, D, E, F}. For the event of choosing a letter from A to E, the outcomes are {A, B, C, D, E}.
Explanation:To answer the student's question about the sample space and the event of choosing a letter from A to E, we must first understand the concept of sample space in probability. The sample space is the set of all possible outcomes of a probability experiment. In this case, since the bag contains six balls labeled A, B, C, D, E, and F, the sample space describing all possible outcomes is {A, B, C, D, E, F}.
Now, the event of choosing a letter from A to E simply means finding all the outcomes within the sample space that meet the criteria of being letter A, B, C, D, or E. Therefore, the outcomes for this event are {A, B, C, D, E}.
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In a probability experiment, Karen flipped a coin 65 times. The coin landed on heads 36 times. What percentage of the coin flips resulted in tails? Round to the nearest percent.
Answer:23.4% Is the percentage that resulted in tails.
Answer:
23.4%
Step-by-step explanation:
Solve for x: 2x − 2 > 4x + 6.
x < −4
x > −4
x < 4
x > 4
Answer:
The answer is the first choice, x < −4.
Step-by-step explanation:
Let's solve your inequality step-by-step.
2x−2>4x+6
Step 1: Subtract 4x from both sides.
2x−2−4x>4x+6−4x
−2x−2>6
Step 2: Add 2 to both sides.
−2x−2+2>6+2
−2x>8
Step 3: Divide both sides by -2.
x<−4
Answer:
<-4
Step-by-step explanation:
took tye test
What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y
A. a. 9x4 b. 3x5y
B. a. 20x16 b. −108x25y2
C. a. 9x8 b. 3x10y
D. a. 9x16 b. 3x25y2
Answer:
A. a. 9x^4 b. 3x^5y
Step-by-step explanation:
a. 5x^4 + 4x^4
Since these are to the same power, they are like terms and we can add them
9x^4
b. 12x^5y − 9x^5y
Since these are to the same power, they are like terms and we can subtract them.
3x^5y