Answer: 905 cu. in.
Step-by-step explanation:
volume = (4/3) * π * r³
= (4/3) * π * 216
Real life Applications of Polynomials?
Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.
-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls tnx!
Answer:
total balls in the Machine = 7+5+4 = 16
Step-by-step explanation:
METHOD-1
Probability of First ball to be Blue = 7/(7+5+4) = 7/16
Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]
Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]
But this can happen in any order so the orders in which it can happen = 3!
i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4
Answer: Option E
METHOD-2
The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840
The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 840 / 3360 = 1/4
Answer: Option E
METHOD-3
The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560
The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 140 / 560 = 1/4
Answer: Option E
Mary is also a civil engineer, and she is building a triangular community garden. She knows two angles in the triangular garden, diagramed below. A triangle has angle measures 92 degrees, 27 degrees, and a degrees. The exterior angle to a degrees is b degrees. What are the measures of interior angle a and exterior angle b? a = ° b = °
Answer:
A= 61
B=119
Step by step:
a; interior angle
180-(27+92)
=180(119)
=61
b; exterior angle
180-61
=119
Answer: 61 and 119
Step-by-step explanation:
Please help! Correct answer only!
At a carnival, there is a game where you can draw one of 20 balls from a bucket. The balls are numbered from 1 to 20. If the number on the ball is odd, you win $31. If the number on the ball is even, you win nothing. If you play the game, what is the expected payoff?
$____
Answer:
Expected Payoff ⇒ $ 15.5 ; Type in 15.5
Step-by-step explanation:
Considering that all odd out of the 20 numbers will have a probability of winning a 31 dollar prize, take a proportionality into account;
[tex]20 - Total Number of Balls,\\1 - 20 - Numbering of Balls,\\Even = Odd, Between 1 - 20, Knowing 20 - Even,\\\\10 / 20 - Odd,\\10 / 20 - Even,\\1 / 2 - Probability of Choosing an Odd Ball,\\\\Proportionality - 1 / 2 = x / 31, where x = " Expected Payoff ",\\1 / 2 = x / 31 - Cross Multiply,\\2x = 31,\\\\Conclusion ; x = 15.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 15.5
What is the slope of a line that passes through (-14,-13) and (7,0)?
A. 21/13
B. 13/21
C. -13/21
D. -21/13
Answer:
The answer is B.
Step-by-step explanation:
You have to apply gradient formula by using coordinates :
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Let (x1,y1) be (-14,-13),
L3t (x2,y2) be (7,0),
[tex]m = \frac{0 - ( - 13)}{7 - ( - 14)} [/tex]
[tex]m = \frac{13}{21} [/tex]
b.
C.
Which triangles are similar?
12
16
6
ob
Answer:
a, b, and d.
Step-by-step explanation:
They have a common angle = 25 deg.
The pair of sides created that common angle share the same ratio = 1/2
(6/12 = 3/6 = 8/16 = 1/2)
Hope this helps!
URGENT!!LAST 3 QUESTION!!!! PLS JUST TAKE A LOOK! EASY BUT I AM DUMB!!!!!! WILL GIVE BRANLIEST!!
1. If a triangle has two angles that measure 57 and 94 degrees, what is the measure of the third angle?
A) 29°
B) 37°
C) 57°
D) 33°
FIND X ( FIRST IMAGE) A) 21.125 B) 7 C) 22.5 What is the measure of angle EGH? SECOND IMAGE A) 26° B) 102° C) 38°
Answer:
1. A
2. B
3. B
Step-by-step explanation:
1. 180+57-94= 29
2. 4x + 7 + 97 + 180 - 17x - 13 = 180
-13x = -91
x = 7
3. 180 - 64-38 = 78
180-78 =. 102
Answer:
A) 29°
B) 7°
B) 102°
Step-by-step explanation:
1. ------------------------
sum of angles= 180°missing angle= 180°-57°-94°= 29°2. ------------------------
4x+7°+97°=17x+13°13x=91°x=7°B) 7°3. ------------------------
EGH=GEH+EFGEGH=64°+38°=102°B) 102°Mrs. Ballin owns a candy shop. Last year her expenses were $66,350. She sold
$115,849 worth of candy. What was her profit?
Profit = amount sold - expenses
Profit = 115,849 - 66,350
Profit = $49,499
Erica and John are making brackets.Erica makes 25 bracelets John makes m More bracelets than Erica which expression represents the total number of bracelets Erica and John made
Answer: 50 + m
Step-by-step explanation:
From the question, Erica and John are making brackets and Erica makes 25 bracelets while John makes m more bracelets than Erica. The total number of bracelets made will be:
Erica bracelet = 25
John bracelet = 25 + m
Total bracelet = 25 + 25 + m
= 50 + m
The expression that represents the total number of bracelets Erica and John made is 50 + m
Which is equivalent to “4 pencils for every 2 students”?
Answer:
8 pencils for every 4 students or 2 pencils for every students
Step-by-step explanation:
Whatever you want to multiply or divide one from, you gotta do it to the other number so it can stay equivalent
Please answer no rush first CORRECT answer gets Brainiest.
The answer is 2
please see the attached picture for full solution
Hope it helps
Good luck on your assignment...
What is StartFraction 11 Over 12 EndFraction divided by one-third? A fraction bar labeled 1. Under the 1 are 3 boxes labeled one-third. Under the 3 boxes are 4 boxes containing one-fourth. Under the 4 boxes are 12 boxes containing StartFraction 1 Over 12 EndFraction. 2 and one-fourth 2 and three-fourths 3 and one-third 3 and two-thirds
Answer:
2 and three-fourthsStep-by-step explanation:
Given the expression [tex]\frac{11}{12}/\frac{1}{3}[/tex], the equivalent expression can be gotten as shown;
[tex]= \frac{11}{12}/\frac{1}{3}\\= \frac{11}{12}*\frac{3}{1}\\ = \frac{11}{4} \\= 2+\frac{3}{4}\\ = 2\frac{3}{4}[/tex]
2 and three-fourth therefore gives the required expression
Answer:
2 and three-fourths
Step-by-step explanation:
Given the expression , the equivalent expression can be gotten as shown;
Step-by-step explanation:
Someone help meeee lollll
Answer:
Step-by-step explanation:
The best way to do this is to first remove the parenthesis by distributing the negative into them. Then we will group the like terms together, moving their respective signs with them, then we will simplify. For the first one, after distributing the negative into the parenthesis (remember that a negative in front of a set of parenthesis containing a polynomial changes the signs in front of each term within the polynomial; negatives become positives and positives become negatives):
[tex]3x^2-6x+11-10x^2+4x-6[/tex] and then grouping like terms next to each other:
[tex]3x^2-10x^2-6x+4x+11-6[/tex] (this step is not completely necessary; I just encourage new learners to do it so as to not miss any of the like terms)
The above then simplifies to
[tex]-7x^2-2x+5[/tex]
The next one, after distributing the negative into the parenthesis:
[tex]-3x^2-5x-3+10x^2+7x-2[/tex] and then grouping like terms next to each other (remember to move their signs with them!):
[tex]-3x^2+10x^2-5x+7x-3-2[/tex] which simplifies to
[tex]7x^2+2x-5[/tex]
Now for the last one:
[tex]12x^2+6x-5-5x^2-8x+12[/tex] and
[tex]12x^2-5x^2+6x-8x-5+12[/tex] which simplifies to
[tex]7x^2-2x+7[/tex]
You design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (-2,-3),(-2,4),(5,4) and (5,-3) . Find the perimeter (in yards) and the area (in square yards).
Answer:
Step-by-step explanation:
The vertices (-2, -3) and (-2, 4) are on the same vertical line and are separated by 4 - (-3), or 7, units. The vertices (-2, 4) and (5, 4) are on the same horizontal line (y = 4) and separated horizontally by 5 - (-2), or 7, units. If you can picture this in your mind, you'll see a 45-45-90 isosceles triangle with leg lengths 7 (there are two such legs).
The next thing to do is to calculate the length of the hypotenuse of this triangle. Using the Pythagorean Theorem, we get:
d = √(7² + 7²) = 7√2 ft.
The perimeter of this triangle is thus 7 ft by 7 ft by 7√2 ft, or approximately 23.9 feet, or 7.97 yd
and ...
The area of the triangular shape is A = (1/2)(base)(height), which here is
A = (1/2)(7)(7) = 49/2 ft^2, or 16.4 yd^2
30% of consumers prefer to purchase elecktronicks online you randomly select 8 consumers find the probability that the number of consumers who prefer to purchase electronics online is a exactly 5 be more than 5 &c at most 5
Answer:
see below
Step-by-step explanation:
Take the number of people surveyed and multiply by 30 %
8 * 30%
Change to decimal form
8 * .3
2.4
About 2.4 will purchase online
What is the value of y when x = 6?
-3x + 9y = 18
Answer:
y = 6
Step-by-step explanation:
-3x + 9y = 18
-3(6) +6y = 18
-18 +6y = 18
Add 18 to each side
-18+18 +6y =18+18
6y = 36
Divide each side by 6
6y/6 = 36/6
y = 6
share £40 in the ratio 1:4 between Tim and Sam
Answer:
[tex]\£8:\£32[/tex]
Step-by-step explanation:
[tex]\frac{40}{1+4}[/tex]
[tex]\frac{40}{5}[/tex]
[tex]=8[/tex]
[tex]1:4[/tex]
[tex]1 \times 8:4 \times 8[/tex]
[tex]8:32[/tex]
Answer:
Tim gets £8
Sam gets £32
Step-by-step explanation:
Ratio is 1:4
So, Total parts are 1+4 = 5
Dividing it by total parts
= [tex]\frac{40}{5}[/tex]
= £ 8
So, Tim gets £8
But,
Sam gets 4(£8)
= Sam gets £32
Given f(x) = 3/4x + 12, find the value of x when f(x) = x.
Answer:
48 =x
Step-by-step explanation:
3/4x + 12 = x
Subtract 3/4 x from each side
3/4x + 12-3/4x = x-3/4x
12 = 1/4x
Multiply each side by 4
12*4 =1/4x *4
48 =x
Answer:
x=48
Step-by-step explanation:
f(x) is basically just another way to write y.
If f(x)=x, then y=x.
x=3/4x+12 (Original Equation Substituting x for f(x), equal to y)
1/4x=12 (Subtract 3/4 from both sides of the linear equation)
x=48 (Multiply both sides by 4)
Cindy went to the salon to get highlights and a haircut. Her total cost was $95. Cindy decided to tip her stylist 22% because she loved her hair so much. How much was the tip?
The sum of the interior angles of a polygon is 8,100. How many sides does the polygon have?
Answer:
explanation below
Step-by-step explanation:
(n - 2) * 180 = 8100
n - 2 = 8100/180
n - 2 = 45
n = 45 + 2
n = 47 sides <---answer
happy to help ya :)
Please help! Correct answer only!
In a raffle, one ticket out of 250 will win a $230 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?
$__
Answer:
$0.92
Step-by-step explanation:
Since only one ticket out of the 250 wins a 230 dollar prize, the expected payoff is 230/250=0.92. Hope this helps!
21 ≤ 3 + 9x please help me solve the inequality
Answer:
x ≥ 2
Step-by-step explanation:
21 ≤ 3 + 9x
21 - 3 ≤ 9x
18 ≤ 9x
18 ÷ 9 ≤ x
2 ≤ x
x ≥ 2
The solution to the inequality 21 ≤ 3 + 9x by combining like terms and solving for x is, x ≥ 2.
Used the concept of inequality which states that,
A relation by which we can compare two or more mathematical expressions is called an inequality.
Given that,
The inequality is,
21 ≤ 3 + 9x
Now, simplify the inequality by combining like terms and solving for x,
21 ≤ 3 + 9x
Subtract 3 on both sides,
21 - 3 ≤ 9x
18 ≤ 9x
It can be written as,
9x ≥ 18
9x - 18 ≥ 0
Take 9 as common,
9 (x - 2) ≥ 0
x - 2 ≥ 0
Therefore, the solution of expression is,
x ≥ 0
To learn more about inequality visit:
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To what unit rate does 96/12 simplify?
A.8/1
B.9/1
C.10/1
D.12/1
Answer:
A. 8/1
Step-by-step explanation:
96/12=8
12/12=1
Therefore, the answer is 8/1. Have a good day!
8/1 is the unit rate of the fraction 96/12, option A is correct.
The given fraction is ninety six by twelve
96/12
Let us find the unit rate of 96/12
we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.
96 divided by 12 is 8
and 12 divided by 12 is 1.
So 96/12 is equal to 8/1
Therefore, the simplified form of 96/12 is 8/1.
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Please help me with my question!!
Answer:
B
Step-by-step explanation:
To find the answer we add to the fractions
5/6 + 2/3 = 5/6 + 4/6 = 9/6 = 3/2 = 1 1/2
Answer:
1 1/2
Step-by-step explanation:
5/6 + 2/3
Get a common denominator
5/6 + 2/3 *2/2
5/6 + 4/6
9/6
Rewriting as a mixed number
1 3/6
1 1/2
Round 76m to 1 significant figure
Use the synthetic division shown to help factor the polynomial and solve the equation.
What are the solutions of the equation?
1, 4, and –5
1, –4, and 5
–1, –7, and 3
–1, 5, and 9
Answer:
1. x = -5 and x = 1
2. x = 5 and x = -1
3. no integral solutions
4. no integral solutions
Step-by-step explanation:
Answer:
1, 4, and –5
Step-by-step explanation:
on edge
What’s the answers please?
Answer:
1) 752.9 m² 2) 2.68 ft
Step-by-step explanation:
1. 3.28 ft = 1 meter
90/3.28 = 27.44
27.44 x 27.44 = 752.9 m²
2. tan 15 = 10/x or x = 10/tan 15 = 2.68 ft
Can some one help me plz trying to figure out? Need help ASAP
Answer:
[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]
Step-by-step explanation:
[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]
HELP PLEASE ! Factor the polynomial completely.
18x^2y-2y
Answer:
2y( 3x-1)(3x+1)
Step-by-step explanation:
18x^2y-2y
Factor out the greatest common factor 2y
2y( 9x^2 -1)
The term in the parentheses is the difference of squares
a^2 - b^2 = (a-b)(a+b)
2y( 3x-1)(3x+1)
y=-5y=−5 Evaluate this expression: 3y+6=3y+6=
Answer: 3y+6
Step-by-step explanation: