Answer:
2/9
Step-by-step explanation:
There are 4 yellow marbles and 2 blue marbles = 6 marbles
This is 2/3 of the marbles since 1/3 are green
2/3 of the total marbles are 6 marbles
2/3 * m = 6
m = 6 * 3/2 = 9
1/3 m = green marbles = 1/3 *9 = 3
4 yellow marbles and 2 blue marbles 3 green marbles = 9 marbles
P ( blue) = blue/total = 2/9
Which of these is a unit of density?
A. km/m³
B. kg/m²
C. kg/m³
D. kg/m
Answer:
[tex]\huge\boxed{C.\ \dfrac{kg}{m^3}}[/tex]
Step-by-step explanation:
[tex]density=\dfrac{mass}{volume}\\\\\text{the unit of mass is}\ kg\\\text{the unit of volume is}\ m^3\\\\\text{therefore the unit of density is}\ \dfrac{kg}{m^3}[/tex]
Use the figure at the right. If JK = 3x + 4 and NO = 11, what is the value of x?
Write the equation of the line, in standard form, that passes through the points (-2, 2) and (4, 5). Show all work for credit.
Answer:
x - 2y + 6 = 0
Step-by-step explanation:
Going from (-2, 2) to (4, 5), we see that x (the 'run') increases by 6 and that y (the 'rise') increases by 3. Thus, the slope of the line through these two points is m = rise / run = 3/6, or m = 1/2.
Starting with the slope-intercept formula y = mx + b, and using the x and y values from the point (-2, 2), we get
2 = (1/2)(-2) + b, or 4 = -2 + 2b, or 6 = 2b, or b = 3. Then the slope-intercept form of the desired equation is y = (1/2)x + 3. To obtain the standard form, we multiply all three terms of this result by 2, obtaining 2y = x + 6, or
x - 2y + 6 = 0
Which of the following is the equation of a line perpendicular to the line y =
- 10x + 1. passing through the point (5.7)?
Answer:
y - 7 = (1/10)(x - 5)
Step-by-step explanation:
Next time please share the possible answers. Thank you.
Any line perpendicular to y = -10x + 1 has the slope +1/10, which is the negative reciprocal of -10.
Using the point-slope formula, we get:
y - 7 = (1/10)(x - 5)
The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term in the parabola's equation?
Answer:
3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (2, - 4) , thus
y = a(x - 2)² - 4
To find a substitute (3, - 1 ) into the equation
- 1 = a(3 - 2)² - 4 ( add 4 to both sides )
3 = a
Thus
y = 3(x - 2)2 - 4 ← equation in vertex form
= 3(x² - 4x + 4) + 4
= 3x² - 12x + 12 + 4
= 3x² - 12x + 16 ← equation in standard form
with coefficient of x² term = 3
which of the following was not a new business created by the rise of automobile
1. Roadside restaurants
2. national parks
3. roadside cabins
4. gas stations
Answer:
road side cabins
Step-by-step explanation:
Please help me. Area of a circle
Answer:
Area = πr²
= π * 2²
= 3.14 * 4
= 12.6
Answer:
[tex] \boxed{\sf Area = 12.6 \: {cm}^{2}} [/tex]
Given:
Radius of circle (r) = 2 cm
To Find:
Area of circle
Step-by-step explanation:
[tex] \sf Area \: of \: circle = \pi {r}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.14 \times {2}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =3.14 \times 4 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: =12.56 \: {cm}^{2} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \approx 12.6 \: {cm}^{2} [/tex]
This is for pre calculus, please help
Answer:
The correct answer is:
[tex]g(x) = x+1[/tex]
Step-by-step explanation:
Given that:
[tex]h(x) = f\circ g(x)= \sqrt[3]{x+3}[/tex]
[tex]f(x) = \sqrt[3]{x+2}[/tex]
To find:
[tex]g(x) = ?[/tex]
Solution:
Let [tex]g(x) = m[/tex]
We have
[tex]f\circ g(x)= \sqrt[3]{x+3}\\OR\\f( g(x))= \sqrt[3]{x+3}[/tex]...... (1)
Now, we have let:
[tex]g(x) = m\\\therefore f(g(x)) = f(m)[/tex]
Putting x = in f(x), we get
[tex]f(x) = \sqrt[3]{x+2}\\\Rightarrow f(m) = \sqrt[3]{m+2}[/tex]....... (2)
Comparing equation (1) and (2):
[tex]\sqrt[3]{x+3} =\sqrt[3]{m+2}[/tex]
Taking cubes both sides:
[tex]x+3=m+2\\\Rightarrow m = x+3-2\\\Rightarrow m = x+1[/tex]
[tex]\therefore g(x) = x+1[/tex]
Hence,
The correct answer is:
[tex]g(x) = x+1[/tex]
Bonnie volunteers to bring bags of candy to her child's class for the Halloween party this year. She buys one bag of candy A
containing 120 pieces of candy, one bag of candy B containing 440 pieces of candy, and one bag of candy C containing
520 pieces of candy. She needs to use all the candy to create identical treat bags. How many treat bags can Bonnie make so
that each one has the same number and variety of candy? How many of each type of candy will be in each bag?
Answer: Bonnie can make 40 treat bags. Each treat bag has three pieces of Candy A, 11 pieces of Candy B, and 13 pieces of Candy C.
Step-by-step explanation:
Since there's no number of student's in her child's class, I did this:
I found the common factors of 120, 440, and 520. And found out that the GCF (greatest common factor) is 40.
120: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120.
440: 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440.
520: 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520.
After finding out that the GCF is 40, I took the numbers 120, 440, and 520, and divided them by 40.
120 divided by 40 = 3
440 divided by 40 = 11
520 divided by 40 = 13
Therefore Bonnie can make 40 treats bags with no candy pieces left behind.
Which sets of ordered pairs show equivalent ratios? Use the grid to help you. Check all that apply.
Answer:
Option 2 and option 4
Step-by-step explanation:
option 2:
(2,2) ; (2*2 , 2*2)= (4,4) ; (2*3, 2*3) = (6 , 6)
Option 4:
(4 ,1 ) ; (4*2 , 1*2) = (8 , 2) ; (4*3 , 1*3) = (12 , 3)
The accompanying graph shows the amount of
water left in Rover's water dish over a period of
time.
Amount of Water in Rover's Water Dish
500
400
300
Amount of Water (mL)
200
100
0 15 30 45 60 75 90 105
Time (seconds)
How long did Rover wait from the end of his first
drink to the start of his second drink of water?
A
10 sec
B. 30 sec
C. 60 sec
D. 75 sec
Answer:
The answer is B. 30 seconds
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if
m∠A = α, m∠B = β
Answer: ∠ABD = [tex]\bold{\frac{1}{2}}[/tex]∠C
Step-by-step explanation:
[tex]\angle A + \angle B + \angle C = 180^o\\\\\dfrac{1}{2}\angle A+\dfrac{1}{2}\angle B+\angle D=180^o\\\\\\\text{Solve the system by multiplying the second equation by -2}\\\angle A + \angle B + \angle C = 180^o\\\underline{-\angle A - \angle B - 2\angle D = -180^o}\\.\qquad \qquad \quad \angle C-2\angle D=0\\.\qquad \qquad \qquad \qquad \angle C=2\angle D\\.\qquad \qquad \qquad \quad \dfrac{1}{2}\angle C=\quad \angle D\\[/tex]
Find the missing side to the triangle in the attached image.
Answer:
15Solution,
Hypotenuse(h)= 25
Base(b)= 20
perpendicular (p)= X
Now,
Using Pythagorean theorem:
[tex] {p}^{2} = {h}^{2} - {b}^{2} \\ {x}^{2} = {25}^{2} - {20}^{2} \\ {x}^{2} = 625 - 400 \\ {x}^{2} = 225 \\ x = \sqrt{225} \\ x = \sqrt{ {15}^{2} } \\ x = 15 [/tex]
Hope this helps...
Good luck on your assignment..
Answer:
x = 15
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 20² = 25² , that is
x² + 400 = 625 ( subtract 400 from both sides )
x² = 225 ( take the square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
please asap thanks :D
Answer:
f, g, and h only
Step-by-step explanation:
The letters are the variables.
What percent of 1/2 is 1/4? (Round to the nearest whole percent.)
Answer:25
Step-by-step explanation:
a miving company's moving rates can be represented by the function f(x)=3x+400, where x is the number of miles for the move. Another moving company's rates can be represented by the function g(x)=5x+200. Which function represents the difference between the moving companies rates , h(x)=f(x)-g(x)?
A) h(x)=-2x+200
B) h(x)=-2x+200
C) h(x)=5x-200
D) h(x)=5x+600
Answer:
Option a
Step-by-step explanation:
This is a nice simple problem!
Given that the function f( x ) is equivalent to 3x + 400, respectively g( x ) = 5x + 200, all we are being asked to do is find their difference. Substitute the given values as such -
h( x ) = f( x ) - g( x )
⇒ h( x ) = ( 3x + 400 ) - ( 5x + 200 ) - Distribute negative sign, taking out ( )
⇒ h( x ) = 3x + 400 - 5x + 200 - Combine like elements
⇒ h( x ) = - 2x + 200
And there you have it! Our solution should be option a ( h( x ) = - 2x + 200 )
If you would like, there is a graph of the function in the attachment below.
Answer:
It's B on edge!
the solution of the pair of linear equation: 2x+3y=6 and 3x-5y=2 are.............
Step-by-step explanation:
just simplify the above equation and substitute in the second one.
Answer:
Step-by-step explanation:
2x+3y=6 -----1
3x-5y=2-----2
solving by elimination method,
multiply eq1 with3
multiply eq2 with2
you will get,
6x+9y=18----3
6x-10y=4----4
eq3-eq4=
19y=14
y=14/19------5
substitute eq 5 in eq 1
you will get,
x=50/19...
hope it helps...pls mark brainliest if it does...
Guys please help me, what is 10+x+ 8, what is 9(3x), what is 1/2 (10x) + 7-3, what is -5 (4x), what is 10 - 2 (8x) - 3 , and what is 3(7x) + 3 (-5)
Answer:
[tex]1.\ 10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5) = 21x -15[/tex]
Step-by-step explanation:
Required
Solve each expression
[tex]1.\ 10+x+ 8[/tex]
Start by collecting like terms
[tex]10+ 8+x[/tex]
Add like terms
[tex]18+x[/tex]
The expression can't be solved further
Hence; [tex]10+x+ 8 = 18+ x[/tex]
[tex]2.\ 9(3x)[/tex]
Open the bracket
[tex]9 * 3x[/tex]
[tex]27x[/tex]
The expression can't be solved further
Hence, [tex]9(3x) = 27x[/tex]
[tex]3.\ \frac{1}{2}(10x) + 7 - 3[/tex]
Open bracket
[tex]\frac{1}{2} * 10x + 7 - 3[/tex]
[tex]5x + 7 - 3[/tex]
[tex]5x + 4[/tex]
The expression can't be solved further;
Hence, [tex]\frac{1}{2}(10x) + 7 - 3 = 5x + 4[/tex]
[tex]4.\ -5(4x)[/tex]
Open the bracket
[tex]-5 * 4x[/tex]
[tex]-20x[/tex]
The expression can't be solved further
Hence, [tex]-5(4x) = -20x[/tex]
[tex]5.\ 10 - 2 (8x) - 3[/tex]
Open Bracket
[tex]10 - 2 *8x - 3[/tex]
[tex]10 - 16x - 3[/tex]
Collect like terms
[tex]10 - 3 - 16x[/tex]
[tex]7 - 16x[/tex]
The expression can't be solved further
Hence, [tex]10 - 2 (8x) - 3 = 7 - 16x[/tex]
[tex]6.\ 3(7x) + 3 (-5)[/tex]
Open both brackets
[tex]3*7x + 3 * -5[/tex]
[tex]21x -15[/tex]
The expression can't be solved further
Hence, [tex]3(7x) + 3 (-5) = 21x -15[/tex]
Have you ever seen rational exponents? Rational exponents are designed to fit within the properties of exponents. That is, (31/2)2 is equal to 31, or 3. What operation does the power 1/2 represent? Can you think of operations that other fractional powers represent, such as 1/3, 1/4 and 2/3?
Rational exponents are quite simple really. For instance, 2 to the power of 1/2 is the square root of two. You take the numerator of the fraction and use that as the exponent and take the denominator and use it to root the number. I know that sounds confusing, so I'll give a bunch of examples
2 to the power of 1/3
is the cube root of 2
2 to the power of 2/3
is the cube root of 2 to the power of 2, or the cube root of 4
2 to the power of 3/4
Is the 4th root of 2 to the power of 3, or the fourth root of 8
Hope it helps <3, if you have any questions just comment.
The required answer for the number of questions has been listed in the answer section.
Given that,
A number of questions are given
The function which is in format f(x) = a^x where a is constant and x is variable, the domain of this exponential function lies (-∞, ∞).
Part A
What operation does the power 1/2 represent?
The power 1/2 represents the square root of the value i.e. x^{1/2} = √x
Part B
What operations that other fractional powers represent, such as 1/3, 1/4, and 2/3?
Power 1/3 represents the cube root i.e. x^{1/3} = ∛x
Similarly
Power 1 / 4 represents the fourth root.
Power 2 / 3 represents cube root of square i.e. (x²)^{2 / 3} = ∛x²
Thus, the solution to the question is mentioned above.
Learn more about exponential function here:
brainly.com/question/15352175
#SPJ2
the box plot represents the number of math problems on the quizzes for an algebra course.
what is the range of the data?
6
7
9
10
The range of the data is 10.
What is Box Plot?Box plot, which is also known as box and whisker plot, is a method of graphically representing the measures like minimum, maximum and the quartiles of the data set.
Given is a box plot.
Range of a data set is the difference between the highest and the lowest point.
The highest and lowest point of the data set is the points where the whiskers of the box plot extends to.
Here, whiskers extends from 5 to 15.
Range = Maximum - Minimum
= 15 - 5
= 10
Hence the range of the data set is 10.
Learn more about Box Plots here :
https://brainly.com/question/1523909
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PLEASE HELP!! what is the horizontal asymptote of f(x)=2/3^x? Is it on the x-axis or the y-axis?
Hey there! :)
Answer:
y = 0, also known as the x-axis.
Step-by-step explanation:
The equation [tex]f(x) = \frac{2}{3} ^{x}[/tex] is an exponential function.
There is an asymptote at y = 0, or the x-axis because:
[tex]\frac{2}{3} ^{x}\neq 0[/tex]
An exponential function, unless containing a vertical shift, can never cross the x-axis resulting in an asymptote at y = 0.
The function C(x)=8x+560 represents the cost to produce x number of items. How many items should be produced so that the average cost is less than $16?
Answer:
70
Step-by-step explanation:
To cater a brunch, Lewis' Eats charges a $130 setup fee plus $12.50 per person. The cost of Jackson Enterprise's annual holiday party cannot exceed $1500. Jackson Enterprise hires Lewis' Eats to cater their annual holiday party. Solution A: 130 + 12.50p 1500 D: 130 + 12.50p ≤ 1500
Answer:
The answer is solution D.
Step-by-step explanation:
130 + 12.50p ≤ 1500
The 130 is the setup fee
The 12.50 is the amount to pay per person
p means the number of people
The symbol ≤ means smaller than or equal to so it could be either of those
The 1500 is the max amount of money that they could spend for the party.
Question 1 (1 point)
3. Each week Mohammad works 3 — hours on Monday, 3 hours on Tuesday, 2 hours on
2
1
Wednesday, 2-hours on Thursday, and 4 hours on Friday. How many hours does he work per
4
week? (2 marks)
Answer:
56 Hours
Step-by-step explanation:
=3+3+2+2+4=14
=14*4=56 Hours
Assuming that I read this correctly, Mohammad works 3 hours Monday, 3 hours Tuesday, 2 hours on Wednesday, 2 hours on Thursday and 4 hours on Friday. All you have to do is add all the hours he worked each week. So that would look like this. ->
3+3+2+2+4=14
Mohammad is working for 14 hours this week.
Since he has to know how many hours he is working this month (4 weeks) . He needs to multiply his weekly hours by 4. So 14*4 is 56.
56 Hours is your answer
Based on slope, how do you know when two lines are perpendicular? A. The slope of one line must be equal to reciprocal of the other for the two to be perpendicular. B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular. C. If the slopes of the 2 lines are equal, then they are perpendicular. D. The slope of one line must be the negative of the other slope for the two to be perpendicular.
Answer:
B
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means they have opposite signs (negative) and their numerators and denominators are switched ( reciprocal).
For example, these slopes are perpendicular:
3/2 and -2/3
(3/2--negate--> -3/2---> reciprocal--> -2/3)
Therefore, the answer is B. The slope of one line must be the negative reciprocal of the other for the two to be perpendicular.
Find the number of 4-digit numbers that contain at least three odd digits.
Answer:
3000
Step-by-step explanation:
First find the 4 digit numbers that have all odd digits
Possible Odd digits =5(1,3,5,7,9)
So, total number of 4 digit numbers with odd digits can be calculated as =5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the first digit as either 2,4,6,8 ( 0 would make it a 3 digit number)
The first digit can be 2,4,6,8
=4×5×5×5=500
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the third digit as either 0,2,4,6,8
Now find all the 4 digits numbers with at least 3 odd digits and the second digit as either 0,2,4,6,8
=5×5×5×5=625
Now find all the 4 digits numbers with at least 3 odd digits and the fourth digit as either 0,2,4,6,8
=5×5×5×5=625
Add them together
625+500+625+625+625=3000
Answer:
3000
Step-by-step explanation:
4*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5+5*5*5*5 = 3000
If similar cubes have a length ratio of 3:2, what is the volume ratio? PLEASE EXPLAIN a) 9 : 4 b) 9 : 6 c) 27 : 8 d) 3 : 2
Answer: c) 27:8
Step-by-step explanation:
As volume of cube is side^3
volume of cube with side 2a is 8.a^3
volume of cube with side 3a is 27.a^3
ration of volumes is 27:8
Click on the following figure to show the reflection about m. A, B, C, D? 1st pic A, 2nd pic B, and so on
Answer:
c
Step-by-step explanation:
the third picture shows symmetry and equality
Answer:
It's the third picture.
Step-by-step explanation:
This shows the reflection in m.
Find the value of: [tex]\frac{1}{2\cdot 4}+\frac{1}{4\cdot 6}+\frac{1}{6\cdot 8}+ ... + \frac{1}{48\cdot 50}[/tex]
What is the slant height of the pyramid to the nearest 10th
15.5mm
13.9mm
12.5mm
19.0mm