Answer:
46.66% chance of red marble
Step-by-step explanation:
Red Marbles / Total Marbles gives you the percent
14 / 30 = 46.66%
You are calculating the volume of a box which has a width ofx inches, a
length 1 inch less than the width, and a height 2 inches less than the width.
What is the end behavior of the polynomial function that models the volume
as a function of x?
and down
C. down and down
B. down and up
D. up and up
А. up
Using limits, it is found that the end behavior of the polynomial function for the volume of the rectangular box is:
B. down and up.
What is the volume of a rectangular prism?The volume of a rectangular prism of length l, width w and heigth h is given by:
V = lwh.
In this problem, we have that the dimensions are given by:
w = x.l = x - 1.h = x - 2.Hence the volume is given by:
[tex]V = x(x - 1)(x - 2) = x(x^2 - 3x + 2) = x^3 - 3x^2 + 2x[/tex]
What is the end behavior of a function?It is given by it's limits as x goes to infinity.
Hence:
[tex]\lim_{x \rightarrow -\infty} V(x) = \lim_{x \rightarrow -\infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow -\infty} x^3 = -\infty[/tex]
[tex]\lim_{x \rightarrow \infty} V(x) = \lim_{x \rightarrow \infty} x^3 - 3x^2 + 2x = \lim_{x \rightarrow \infty} x^3 = \infty[/tex]
Which means that option B is correct.
More can be learned about limits at brainly.com/question/22026723
100 POINTS!!!!!!!
Part A: What is a coterminal angle of θ such that 0 ≤ θ ≤ 2π?
Part B: What are the exact values of all six trigonometric functions evaluated at θ?
Answer:
A. coterminal angle = 4π/3
B. sin(θ) = -√3/2; csc(θ) = -2√3/3; cos(θ) = -1/2;
sec(θ) = -2; tan(θ) = √3; cot(θ) = √3/3
Step-by-step explanation:
A.Any angle that is a multiple of 2π added to the given angle will be coterminal. You want one in the range [0, 2π], so we need to add 4π to the given angle
coterminal angle = -8π/3 +4π = -8π/3 +12π/3
coterminal angle = 4π/3
__
B.The reference angle is 4π/3 -π = π/3. θ is a quadrant III angle, so both the sine and cosine are negative.
sin(θ) = -√3/2 . . . csc(θ) = -2√3/3
cos(θ) = -1/2 . . . sec(θ) = -2
tan(θ) = √3 . . . cot(θ) = √3/3
How many sides does a regular polygon have if each interior angle measures 150°?
Answer:
12
Step-by-step explanation:
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
Elise drinks 2 cups of water per hour on Friday. At a certain time, she has already had 4 cups of water. On Friday, Jacob drinks 3 cups of water per hour, and at the same time of day, he has only had 2 cups of water for the day.
Write a system of equations that can be used to determine when Elise and Jacob will have drank an equal amount of water after drinking water for the same number of hours after 10:00 am.
How many hours will it take for Elise and Jacob to drink an equal amount of water?
By finding and solving a system of equations, we will see that after 2 hours they will drink the same amount of water.
How to write and solve the system of equations?For Elise, the number of cups consumed after the 10:00 am is:
y = 2*x + 4
Where x is the number of hours after 10:00 am.
For Jacob, the number is:
J = 3*x + 2
Then the system of equations is:
y = 2x + 4
y = 3x + 2
To solve it, we use the fact that the variable y is already isolated in both equations, so we can write:
2x + 4 = y = 3x + 2
2x + 4 = 3x + 2
Solving for x we get:
4 - 2 = 3x - 2x
2 = x
After 2 hours, Elise and Jacob drink the same amount of water.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Choose true or false:
y = 9 is the solution of y + 9 = 0
Please help. this is a end- of- year school test.
I appreciate it! ^^
Answer:
False.
Step-by-step explanation:
y+9=0
y=-9
hope you have a good day/night! :)
When asked to factor the trinomial 4x^2 + 12x + 9, a student gives the answer (2x - 3)(2x - 3). What is one thing wrong with this answer?
A. There is nothing wrong with the answer
B. The minus signs should be plus signs
C. 4 is also a factor of this trinomial
D. The factors are not simplified
The one thing wrong with the answer is option B. The minus signs should be plus signs.
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
Given quadratic is 4x²+12x+9
Taking common 4
4(x²+3x) + 9
=4(x² + 3x + 9/4) + 9 - 9
=4(x + 3/2)²
=(2x+3)²
=(2x+3)(2x+3)
So, the minus sign must be a plus sign. option B is correct.
Learn more about factored here:
https://brainly.com/question/1249625
#SPJ1
The Han family just enjoyed dinner at Mizumi restaurant. The bill was $160.18. The tax rate is 8.25% and the restaurant charges a 15% service fee on each bill, not including the tax.
a) what was the total amount the Han family paid for dinner?
Answer:
$198.62
Step-by-step explanation:
The dinner itself is $160.188.25% tax on $160.18 is approximately $13.21A 15% service fee on $160.18 is approximately $25.23**You only apply the 15% service fee to $160.18 and not 173.39 (dinner and tax) because the problem says the service fee is applied before tax.
160.18 + 13.21 + 25.23 = 198.62
Hope this helps!
The collection of all equally likely outcomes is known as the
Answer:
The Sample space
Step-by-step explanation:
The collection of all equally likely outcomes is known as the- the sample space.
1. Which unit multiplier should be used to change feet to inches?
A 1ft/12in
B 12in/1ft
C 12ft/1in
D 1in/12ft
E 12in/12in
2. Which unit multiplier should be used to change quarts to gallons?
A 8 qt/ 1 gal
B 1 gal/ 8 qt
C 1 gal/ 4 qt
D 2 qt/4 qt
3. Which unit multiplier should be used to change feet to yards?
A 1 yd/ 36 inch
B 3ft/3ft
C 1 yd/ 3 ft
D 1 yd/ 2 feet
4. When using unit multipliers, the name of the measure in the numerator should be the same as:
a.
the name in the denominator
b.
the name of the given amount
c.
the name of the unit in the desired answer
d.
the larger of the units of measure given
e.
the smaller of the units of measure given
5. The term used to multiply by when converting measures should always be:
Select one:
a.
less than the given measure
b.
greater than the given measure
c.
greater than one
d.
less than one
e.
equal to one
6. How many unit multipliers are required to change square feet to square inches?
Select one:
a.
1
b.
2
c.
3
d.
12
e.
144
7. How many unit multipliers are required to change cubic yards to cubic feet?
Select one:
a.
1
b.
2
c.
3
d.
9
e.
12
8. Sam stacked a pile of wood that was four feet deep, four feet high, and 16 feet long. How many cords of wood does he have?
The required unit multipliers that should be used to change feet to inches is: 12 in/1 ft
What is Unit Multiplier?Unit multipliers are used to convert one unit of measurement to another by the multiplication of the measure we're converting by a unit multiplier that cancels out the other units, retaining only the preferred choice or desired answer.
From the given information:
The required unit multiplier that should be used to change feet to inches is: 12in/ 1ftThe required unit multiplier that should be used to change quarts to gallons is: 1gal/ 8qtThe required unit multiplier that should be used to change quarts to gallons is: 1yd/3 ftHowever, it is important to note that when using unit multipliers, the name of the measure in the numerator should be the same as the name of the unit in the desired answer.
The term used to multiply by when converting measures should always be less than the given measure.
The required unit multiplier to convert square feet to square inches is 144The required unit multiplier to convert cubic yard to cubic feet is 27The cord of wood can be determined by multiplying the length, depth and height of the wood together, then dividing the answer but 128.
Thus, the cord of the wood = (4 ft × 4 ft × 16 ft)/128
The cord of the wood = 2 cords.
Learn more about unit multipliers here:
https://brainly.com/question/2174562
A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle travel in 6 revolutions? Round your answer to the nearest hundredth of an inch. this is just for anyone who is having trouble with this question and want the answer the answer to this question is 188.4 or 188.40
Answer:
226.19 in.
Step-by-step explanation:
circumference = πd
circumference = 3.14159 × 12 in.
circumference = 37.70 in.
In one revolution of the wheel, the unicycle travels a distance equal to the circumference of the wheel, or 37.70 in.
In 6 revolutions, the unicycle travels 6 times the circumference of the wheel.
6 × circumference = 6 × 37.70 in. = 226.19 in.
Answer: 226.19 in.
9×4 - 10 fours - ? fours
Answer:
9×4 - 10 fours - 26 fours
Step-by-step explanation:
9×4 - 10 fours - 26 fours
Hi what is a+3squared /56
Answer:
well friend you answer is
Step-by-step explanation:
a+ 3/56
i hope this helped
Answer:
Step-by-step explanation:
The appropriate symbolic expression would be
a + 3²
---------
56
kassim has a money box containing 100 mixed sh 5 and sh 10 coins with a total value of sh 600. How many of each type of coin does the box contain
Answer
90
Step-by-step explanation
600 divided by 100
600 / 100 (5+10)
18 - [5 + 1 + (4 - 2 + 2)}] please solve
Answer:
8
Step-by-step explanation:
[tex]\hookrightarrow 18 - [5 + 1 + (4 - 2 + 2)]\\\\\hookrightarrow 18-[5+1+(6-2)]\\\\\hookrightarrow 18-[5+1+4]\\\\\hookrightarrow 18-10\\\\\hookrightarrow 8[/tex]
solve step by step
1/x-1+1/y-2=1
3/x-1+5/y-2=4
An American roulette wheel has 38 spaces, labeled using the numerals 1 through 36, 0, and 00. In a random spin of the wheel, what is the probability that the ball will land on 2?
This is because there's one space labeled "2" out of 38 spaces total.
This fraction is approximately equal to 1/38 = 0.0263 meaning there's roughly a 2.63% chance of landing on this space.
The probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.
What is probability?The probability is defined as the possibility of an event is equal to the ratio of the number of outcomes and the total number of outcomes.
Assuming an unbiased wheel.
The probability of an event = number of favourable outcomes/ number of total outcomes.
The total number of outcomes is 38
The number of favourable outcomes is one because there's one space labeled "2" out of 38 spaces total.
The probability of an event = 1/38 = 0.0263
Hence, the probability is 0.0263 that the ball will land on 2 in a random spin of the wheel.
Learn more about probability
brainly.com/question/11234923
#SPJ2
Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the rock songs, we have three from a set of eleven, hence:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
For the alternative songs, we have four from a set of five, hence:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
For the rap songs, we have three from a set of four, hence:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
Since the songs are independent, the total number of ways is given by:
[tex]T = 165 \times 5 \times 4 = 3300[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
What type of function is f(x) = 2x3 – 4x2 + 5?
it's a cubic function
The given function f(x) = 2x³ – 4x² + 5 is a cubic function.
What is a cubic polynomial?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.
It is observed that the given function is a cubic function as its highest power of the variable is three.
Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.
To know more about cubic polynomials follow
https://brainly.com/question/20896994
#SPJ5
Find the area of the figure.
Pls help
It's a trapezoid
Base=15+5=20cmAnother side=15cmHeight=12cmNow
Area:-
1/2(Sum of parallel sides)(Height)1/2(15+20)(12)6(35)210cm^2A large pizza at Palanzio’s Pizzeria costs $6.80 plus $0.90 for each topping. The cost of a large cheese pizza at Guido’s Pizza is $7.30 plus $0.65 for each topping. How many toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same, not including tax?
Answer:
2 toppings need to be added to a large cheese pizza from Palanzio's Pizzeria and Guido's Pizza in order for the pizzas to cost the same
Step-by-step explanation:
t=toppings
6.80 +0.90t = 7.30+0.65t
0.25t = 0.5
t = 2
The quotient of w and 7 is less than 17.
Answer:
17 < w / 7 is my answer. I am not sure to correct.
Which expression represents 25 times the sum of m and 3?
Answer:
25(m+3)
Step-by-step explanation:
25 is multiplied by (m+3)
'the sum of m and 3' is a quantity which must be indicated using parentheses
Hello!
The sum of means we add:
m+3
Multiply it times 25:
25(m+3)
The answer is Option C.
Now, the option you selected is wrong for the following reasons:
If you translate it into a verbal phrase, this is what it means:
25 plus the product of m and 3
Hence, Option C is correct.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power! :-)
All of the quadrilaterals in the shape below are squares. Find the area of the shaded region
To find area of square one :-
Given :
side = 9 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 9²
→Area of square = 9 × 9
→Area of square = 81 (unit)²
To find area of square two :-
Given :
side = 11 (unit)To find :
Area of squareWe know :
Area of square = side²
Therefore:-
→Area of square = 11²
→Area of square = 11 × 11
→Area of square = 121 (unit)²
Now it's clearly visible that the whole figure is also. a square .
Therefore AE = CP
Which means area of square three = 81 (unit)²
Now area of shaded figure :-
Area of square one + Area of square two + Area of square three81 + 81 + 121283 (unit)²write 14,689 in word form what is the answer like identify the thousand group and the ones group
Answer:
fourteen thousand six hundred and eighty nine
Step-by-step explanation:
1 is in the ten thousand group, four is in the thousands, six is in the hundreds, eight is in the tens, nine is in the ones. i hope this helped :)
Answer:
Fourteen-thousand and six-hundred eighty nine.
A culture started with 3000 becteria. after 4 hours it grew to 3600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt
Answer:
You can solve this by setting up an exponential growth equation.
Now we solve for b
Now that we have found b, we can use the equation to predict how many bacteria will be present after 10 hours.
t = 10
Answer = 4732
Step-by-step explanation:
In the equation, y=4x-1, what does the 4 mean? What does the -1 mean?
Answer:
The equation is written in slope-intercept (y = mx + b) form. Therefore, the '4' represents the slope of the line, and the '-1' represents the y-intercept.
What is the slope-intercept form of 11x-13y=39?
Answer:
Step-by-step explanation:
y=11/13x−3
hope this helps and mark me brainliest as well please.
What is the median of this data set?
{23, 16, 19, 17, 15, 19, 17, 24}
Enter your answer in the box.
()
Answer:
16,
Step-by-step explanation:
1) Put numbers in ascending order
15, 16, 17, 17, 19, 19, 23, 24
2) Find the middle numbers use n+1/2
n = the amount of numbers in the sequence
8+1/2 = 4.5
3) The answer is 18 because that's the number between 17 and 19
Answer:
Me thinks its 18
A log is partly buried in the mud. One third of the log is buried and 8 meters of the log are above ground. What is the total length of the log?
Answer:
12
Step-by-step explanation:
The answer is 12 because if 1/3 of the log is buried then 2/3 of the log is 8 meters. 8 divided by 2 is 4 so you know that 1/3 of the log is 4 meters. Then you just multiply 4 times 3 or add 4 and 8.
Answer:
12 meters
Step-by-step explanation:
see image. If 1/3 log is buried, then 2/3 (the rest of it) log is above ground. If 8meters of log is 2/3 of the log, that is 8 meters is 2 parts, then each part is 4 meters.
2 parts (thirds!) above ground:
8 meters
1 part (one-third) below ground:
4 meters
Total is 8 + 4 =12
or 3×4 = 12
The whole log is 12 meters.
Find the values of x for which the denominator is equal to zero for 5x+6/x^2+6x+9 . none
x = −3
x = 3
x = −3, x = 3
The denominator would be x = -3.
Option (A) is correct.
What is the denominator?
A denominator is a bottom number in a fraction. It represents the divisor or the number by which the numerator is being divided.
In this case, the denominator is x^2+6x+9. To find the values of x for which the denominator is equal to zero, we need to set the denominator equal to 0 and solve for x. The equation would be x^2+6x+9=0. By factorizing the denominator we get (x+3)^2=0.
x + 3 = 0
x = -3
Hence, the denominator would be x = -3.
Option (A) is correct.
To learn more about the denominator, visit:
https://brainly.com/question/20712359
#SPJ1