Answer:
Step-by-step explanation:
cot(x) can be written as
[tex]cot(x) =\frac{cosx}{sinx}[/tex]
Here we have [tex]cot(\frac{2x}{3}[/tex]
so It will be undefined whenever
[tex]sin(\frac{2x}{3}) = 0[/tex]
As we cannot have a 0 in the denominator .
so to point all the discontinuties we need to identify the x values where
[tex]sin (\frac{2x}{3} ) = 0[/tex]
[tex]\frac{2x}{3} = 0 + \pi k[/tex] where k is any integer
[tex]x= \frac{3\pi }{2} k[/tex]
It means f(x) is discontinuous at all the values of [tex]x = \frac{3\pi }{2}k[/tex]
for k = 0 , 1 ,2.....
what else would you need yo show that ABC DEF by ASA APEX ?
Jack wants to fill a rectangular box with sand. The length of the sand box is 3 feet, width is 6 inches, and height is 2.4 inches. Each bag of sand contains 0.15 cubic foot of sand. How many bags of sand will Jack need to fill the box completely? [1 foot = 12 inches] numerical answers expected
3 feet = 36 inches
36 x 6 x 2.4 = 518.4 cubic inches
1 cubic foot = 1728 cubic inches
518.4/1728 = 0.3 cubic feet
0.3/0.15 = 2
he will need 2 bags
91 more than the square of a number in verbal form
Solve the equation for 10 points
6x+7=8x−15
Help!! Image attached, will put most brainliest
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Line A: 2x + 2y = 8 Line B: x + y = 4 Which statement is true about the solution to the set of equations? It is (8, 4). It is (4, 8). There is no solution. There are infinitely many solutions.
what is the value of x and y
An amusement park sells child and adult tickets at a ratio of 8 to 1. On Saturday they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
explain the place value relationship when the same two digits are next to each other in a multidigit number
If trap is an isosceles trapezoid, what is the value of x
Answer:
Option E ⇒ x = 19
Step-by-step explanation:
See the attached figure.
TRAP is an isosceles trapezoid
The shown angles are supplementary angles
So, the sum of (5x+9) and (4x) is 180
So, 5x+9 + 4x = 180
solve for x
9x + 9 = 180
9x = 180-9 = 171
x = 171/9 = 19
The answer is option E
If you triple 4 and subtract 2 each day, how many days until you have zero?* 2 6 8 12
triple 4 = 4x3 = 12
divide 12 by 2: 12/2 =6
it will take 6 days
A caters fee is based on the number of meals she provides. How much is the price per meal if the total fee is $1,088 for 64 meals?
Vincent is giving cakes to some children at a carnival. He has 2 strawberry cakes, 6 pineapple cakes, and 7 chocolate cakes. If Vincent selects a cake randomly without looking, what is the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child? (5 points)
6 over 15 multiplied by 2 over 14 is equal to 12 over 210
6 over 15 plus 2 over 14 is equal to 114 over 210
6 over 15 multiplied by 2 over 15 is equal to 12 over 225
6 over 15 plus 2 over 15 is equal to 8 over 15
2+6+7 = 15 total cakes
6 pineapple so probability is 6/15
then there would be 14 cakes
2 strawberry for a probability of 2/14
6/15 x 2/14 = 12/210
the first answer is the right one
Answer:
[tex]\frac{12}{210}[/tex]
Step-by-step explanation:
Strawberry cakes = 2
Pineapple cakes = 6
Chocolate cakes = 7
Total cakes = 15
Now we are given that Vincent selects a cake randomly without looking, and he will give a pineapple cake to the first child
So, probability of getting a pine apple cake in first draw = [tex]\frac{\text{No. of pineapple cakes}}{\text{Total no. of cakes}}[/tex]
= [tex]\frac{6}{15}[/tex]
Now total no. of remaining cakes = 15-1 =14
Now we are given that Vincent selects a cake randomly without looking, and he will give a strawberry cake to the second child
So, So, probability of getting a strawberry cake in second draw= [tex]\frac{2}{14}[/tex]
So, the probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child = [tex]\frac{6}{15} \times\frac{2}{14} [/tex]
= [tex]\frac{12}{210}[/tex]
Hence Option A is true.
The probability that he will give a pineapple cake to the first child and then a strawberry cake to the second child is [tex]\frac{12}{210}[/tex]
The following table shows the monthly charges for subscribing to the local newspaper.
Number of Months
1
2
3
4
5
Total Cost ($)
15.25
30.50
45.75
61.00
76.25
Identify the independent and dependent variables in the newspaper subscription table.
a.
independent -- Total Cost
dependent -- Number of Months
c.
independent -- Total Cost
dependent -- Month of the Year
b.
independent -- Cost per Paper
dependent -- Number of Months
d.
independent -- Number of Months
dependent -- Total Cost
6x + 2y = 12 solve for y
If the area of a rectangle is 24a2b and the length is 8ab2, what would be the width of the rectangle, given that width is found by dividing area by length? Simplify the answer.
the quantity of 3 times a all over b
b over the quantity 3 times a
3 over the quantity a times b
3ab
Answer:
Option the quantity of [tex]3[/tex] times a all over b
Step-by-step explanation:
we know that
The area of rectangle is equal to
[tex]A=LW[/tex]
where
L is the length side of rectangle
W is the width side of rectangle
In this problem we have
[tex]A=24a^{2}b\ units^{2}[/tex]
[tex]L=8ab^{2}\ units[/tex]
Remember that
[tex]W=\frac{A}{L}[/tex]
substitute
[tex]W=\frac{24a^{2}b}{8ab^{2}}=\frac{3a}{b}\ units[/tex]
You need to pump water out of a flooded basement, using two 50-gallon-per-minute (gpm) pumps. The basement has the dimensions shown and is flooded to a depth of 16 inches. How long will it take to pump the water out of the basement?
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
193.8 cubic inches (in3)
2325.6 cubic inches (in3)
1.35 cubic inches (in3)
16.15 cubic inches (in3)
How many different nine player batting orders can be chosen from a baseball team of 16?
According to the fundamental theorem of algebra, how many zeros does the function f(x) = 4x3 − x2 − 2x + 1 have?
Answer:
3
Step-by-step explanation:
explain how complex fractions can be used to solve problems involving ratios
In a rain forest, it typically rains 290 days out of the year. If it rains today, what is the probability that it will rain tomorrow?
a. 72%
b. 81%
c. 79%
d. 61%
What is 25 degrees lower than 57
which of the following best describes a regular polygon when the sum of its interior angles is 1080 degrees A.) octagon B.) heptagon C.) hexagon D.) nonagon
Answer:
Option A is correct.
Step-by-step explanation:
Given: Sum of all the interior angles of a regular polygon = 1080°
To find: number of sides or name of polygon.
We know that Sum of all interior angle of a regular polygon is given by following formula,
Sum of all angles = ( n - 2 ) × 180° , where n = no of sides.
⇒ 1080° = ( n - 2 ) × 180°
n - 2 = 6
n = 6 + 2
n = 8
Name of regular polygon is Regular Octagon.
Therefore, Option A is correct.
Find the outlier of the set of data: 24, 37, 33, 31, 28, 25, 33, 12
Answer:
The outlier of the set is 12.
Step-by-step explanation:
Consider the provided set of data:
4, 37, 33, 31, 28, 25, 33, 12
The outlier is a kind of data which is abnormal distance from the other points.
Or the data that lies outside the other value in the provided set.
Now consider the data.
12 is lies outside the other values because the distance is abnormal.
The number 12 is not close to any of the other numbers.
Hence, the outlier of the set is 12.
What is the simplified form of √10000x^64 ? 5000x^32 5000x^8 100x^8 100x^32
Answer:
Option (d) is correct.
[tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Step-by-step explanation:
Given : Expression [tex]\sqrt{10000x^{64}}[/tex]
We have to write a simplified form of the given expression [tex]\sqrt{10000x^{64}}[/tex]
Consider the given expression [tex]\sqrt{10000x^{64}}[/tex]
[tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{ab}=\sqrt[n]{a}\sqrt[n]{b},\:\quad \mathrm{\:assuming\:}a\ge 0,\:b\ge 0[/tex]
[tex]=\sqrt{10000}\sqrt{x^{64}}[/tex]
Factor 10000 as [tex]10000=100^2[/tex]
[tex]\mathrm{Apply\:radical\:rule}:\quad \sqrt[n]{a^n}=a[/tex]
[tex]\sqrt{100^2}=100[/tex]
also, [tex]\mathrm{Apply\:radical\:rule\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad \mathrm{\:assuming\:}a\ge 0[/tex]
We have,
[tex]\sqrt{x^{64}}=x^{\frac{64}{2}}=x^{32}[/tex]
Thus, [tex]\sqrt{10000x^{64}}=100x^{32}[/tex]
Answer: D. 100x32
Step-by-step explanation:
it is a fraction. it is greater than 0.5 and less than 0.9. its denominator is a square number.its numerator number is a prime number. what could be the mystery number be?
Fraction with numerator as prime number and denominator as a square number between 0.5 and 0.9 is equals to 7/9.
What is fraction?"Fraction is defined as the part of whole number divided into equal parts."
According to the question,
'x / y' represents the required fraction
'x' represents numerator of the given fraction
'y' represents denominator of the given fraction
Condition given,
0.5 < ( x / y) < 0.9
Denominator is squared number
Numerator is a prime number
(5 / 10) < ( 6 / 10) <( 7 / 10) < (7 / 9)< ( 9 / 10)
Hence, required fraction as per condition is ( 7 / 9).
Learn more about fraction here
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Mr. Wilson has 3000 in his bacon count Mrs. Nelson has 10 times as much money in her bank account as Mr. Wilson has in his big and count how much money does Mrs. Nelson have in her bank account
how long would it take for an egg dropped from a helicopter to fall 256 feet to the ground? d=16t^2
Write this number in word form
Number:284028