Answer:
110
Step-by-step explanation:
5/6 of 132 is 110
what is the mean of 1,5,8,4,5,7,6,6,2,3
Answer:
4.7
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
4.7
Step-by-step explanation:
[tex]1+5+8+4+5+7+6+6+2+3=47\\47/10=4.7[/tex]
plz answer question two<33
Answer:
C
Step-by-step explaination
C is false since 4^3=8
Which best describes a triangle
Answer:
i think the answer may be acute and isosceles
hi guys i need help
cosx = 3/5
sinx+tanx = ?
cosx = 3/5
sin²x + cos²x = 1
sin²x = 1- 9/25
sin²x= 16/25
sinx = 4/5
tanx = sinx/cosx
tanx = 4/3
The formula s = StartRoot StartFraction S A Over 6 EndFraction EndRoot gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube with a surface area of 480 square meters than a cube with the surface area of 270 square meters
Answer:
It's B
Step-by-step explanation:
I took the test
Answer:
B= (√30 - 2√5)
Step-by-step explanation:
What is the arithmetic mean for 8,10,8,5,4,7,5,10,8
Answer:
57.8
Step-by-step explanation:
I am sure that this is the answer.
Answer:
57.8
Step-by-step explanation:
8+10+8+5+4+7+5+10+8 ÷9 = 57.8
Hope this helps!
How can you tell from the equation of a rational function if the function has a hole in the graph ( a removable discontinuity) at x, rather than a vertical asymptote? Give an example
Consider that,
x^2+4x+4 = (x+2)(x+2)
x^2+7x+10 = (x+2)(x+5)
Dividing those expressions leads to
(x^2+4x+4)/(x^2+7x+10) = (x+2)/(x+5)
The intermediate step that happened is that we have (x+2)(x+2) all over (x+2)(x+5), then we have a pair of (x+2) terms cancel as the diagram indicates (see below). This is where the removable discontinuity happens. Specifically when x = -2. Plugging x = -2 into (x+2)/(x+5) produces an output, but it doesn't do the same for the original ratio of quadratics. So we must remove x = -2 from the domain.
Which ordered pair is the best estimate for the solution to this graphed system of
equations:
Answer:
(2.1, -1.3)
Step-by-step explanation:
Each line represents the set of points that satisfy the equation.
That means there's only one point that satisfies both equations (and thus, is the solution) - the point where they cross.
We can see it's a bit to the right of x=2 and a bit lower then y=-1, so the (2.1, -1.3) point looks like the most plausible estimate.
im confused on how to do this
Answer:
150
Step-by-step explanation:
Surface area is the area of all the surfaces (or sides). To find the surface area, find the area of one side of the cube. Since a side of a cube is a square, all the lengths are the same. So, 5*5= 25. There are 6 sides to a cube, so multiply 6 by one of the faces 's area (aka sides), so 6*25=150.
can someone pls help
13x=6 what is x in number form please and thank you
Answer:
0.461538
Step-by-step explanation:
brainlest pls im try to rank up to ace
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{13x = 6}[/tex]
[tex]\huge\textsf{DIVIDE 13 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{13x}{13}=\dfrac{6}{13}}[/tex]
[tex]\rm{CANCEL \ out: \dfrac{13}{13} \ because \ that \ gives \ you \ 1}[/tex]
[tex]\rm{KEEP: \dfrac{6}{13} \ because \ that \ gives \ you \ the \ value \ of \ x}[/tex]
[tex]\boxed{\boxed{\mathsf {Answer: x = \bf \dfrac{6}{13}}}}\huge\checkmark[/tex]
[tex]\boxed{\textsf{or you could say \boxed{\mathsf{x = \underline{\bf 0.461538}}} they both equal to the same thing}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
A movie theater is showing 1 musical and 7 other movies (8 movies in total). Each type of movie is equally likely to be chosen.
If 1,000 people go to the movies, how many people are expected to choose a musical? (*Hint* create and solve a proportion to help you)
Answer:
125
Step-by-step explanation:
1,000/8 because all the outcomes are evenly likely
plz help i beg!! 50 points
Answer:
63.25 sq. ft
Step-by-step explanation:
the area of fig. =
(½×8×6)+(½×3.14×5²)
= 24 + 39.25
= 63.25 sq. ft
Answer:
The area of the figure is 63.25 square feet
Step-by-step explanation:
yes
https://brainly.com/question/14200006
Kaden works 5 days. The median number of hours he works is 3. The mean number of hours he works is 4.
Answer:
(a) 1, 2, 3, 6, 8
Step-by-step explanation:
Given
[tex]Median = 3[/tex]
[tex]Mean = 4[/tex]
Required
The sequence of hours worked each day
See attachment for options
From the question, we understand that:
[tex]Median = 3[/tex]
This means that, the middle number is 3 (when sorted)
So, we can conclude that (b) and (c) cannot be true because their middle numbers are 6 and 5 respectively
Next, is to determine the mean of (a) and (d)
The mean of a data is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
(a)
[tex]\bar x = \frac{1+ 2+ 3+ 6+ 8}{5}[/tex]
[tex]\bar x = \frac{20}{5}[/tex]
[tex]\bar x = 4[/tex]
(d)
[tex]\bar x = \frac{1+ 2+ 3+ 4+ 5}{5}[/tex]
[tex]\bar x = \frac{15}{5}[/tex]
[tex]\bar x = 3[/tex]
Option (a) is true, because it has:
[tex]Median = 3[/tex]
[tex]Mean = 4[/tex]
Find the exact value of cot 330° in simplest form with a rational denominator.
Answer:
[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]
Step-by-step explanation:
The cotangent function can be rewritten by trigonometric relations, that is:
[tex]\cot 330^{\circ} = \frac{1}{\tan 330^{\circ}} = \frac{\cos 330^{\circ}}{\sin 330^{\circ}}[/tex] (1)
By taking approach the periodicity properties of the cosine and sine function (both functions have a period of 360°), we use the following equivalencies:
[tex]\sin 330^{\circ} = \sin (-30^{\circ}) = -\sin 30^{\circ}[/tex] (2)
[tex]\cos 330^{\circ} = \cos (-30^{\circ}) = \cos 30^{\circ}[/tex] (3)
By (2) and (3) in (1), we have following expression:
[tex]\cot 330^{\circ} = -\frac{\cos 30^{\circ}}{\sin 30^{\circ}}[/tex]
If we know that [tex]\sin 30^{\circ} = \frac{1}{2}[/tex] and [tex]\cos 30^{\circ} = \frac{\sqrt{3}}{2}[/tex], then the result of the trigonometric expression is:
[tex]\cot 330^{\circ} = -\frac{\frac{\sqrt{3}}{2} }{\frac{1}{2} }[/tex]
[tex]\cot 330^{\circ} = -\sqrt{3}[/tex]
The exact value of cot 330° with a rational denominator is √3.
To find the exact value of cot 330°, we can first determine the reference angle. The reference angle for 330° is 30°, as it is the angle between the terminal side of 330° and the x-axis.
Cotangent (cot) is the reciprocal of the tangent function, so we need to find the tangent of the reference angle, which is tan 30°. The tangent of 30° is √3/3.
Since cot is the reciprocal of tan, the cotangent of 330° is the reciprocal of √3/3, which is 3/√3.
To rationalize the denominator, we multiply the numerator and denominator by the conjugate of the denominator, which is √3.
(3/√3) x (√3/√3) = 3√3/3
Simplifying further, we can cancel out the common factor of 3:
(3√3/3) = √3
Therefore, the exact value of cot 330° with a rational denominator is √3.
To learn more about trigonometric identities;
https://brainly.com/question/24377281
#SPJ6
using the midpoint formula, solve for the midpoint of the segment with these pairs of endpoints (-8,21) and (32,-2)
Answer
(24,9.5) using the midpoint formula
Answer:
(12, 9.5)
Step-by-step explanation:
[tex]\frac{x_{1} + x_{2} }{2} , \frac{y_{1}+y_{2} }{2} = midpoint\\x:\frac{-8+32}{2} = 12\\y: \frac{21-2}{2} = 9.5[/tex]Please help I really need help on this I would really appreciate it anything helps !
Answer:
AXE and CXD are vertical angles
AXF and FXD are supplementary angles
DXC and BXC are complementary angles
EXA and AXB are adjacent angles
AXC and CXD are supplementary angles
EXD and AXC are vertical angles
Step-by-step explanation:
What are the fourth roots of −3+33√i ?
Enter your answer by filling in the boxes. Enter the roots in order of increasing angle measure in simplest form.
Answer:
In order of increasing angle measure, the fourth roots of -3 + 3√3·i are presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]
[tex]\sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]
Step-by-step explanation:
The root of a complex number a + b·i is given as follows;
r = √(a² + b²)
θ = arctan(b/a)
The roots are;
[tex]\sqrt[n]{r}[/tex]·[cos((θ + 2·k·π)/n) + i·sin((θ + 2·k·π)/n)]
Where;
k = 0, 1, 2,..., n -2, n - 1
For z = -3 + 3√3·i, we have;
r = √((-3)² + (3·√3)²) = 6
θ = arctan((3·√3)/(-3)) = -π/3 (-60°)
Therefore, we have;
[tex]\sqrt[4]{-3 + 3 \cdot \sqrt{3} \cdot i \right)} = \sqrt[4]{6} \cdot \left[cos\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-60 + 2\cdot k \cdot \pi}{4} \right) \right][/tex]
When k = 0, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 0 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({-\dfrac{\pi}{12} } \right) + i \cdot sin\left(-\dfrac{\pi}{12} } \right) \right][/tex]
When k = 1 the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 1 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{5 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{5 \cdot\pi}{12} } \right) \right][/tex]
When k = 2, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 2 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{11 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{11 \cdot\pi}{12} } \right) \right][/tex]
When k = 3, the fourth root is presented as follows;
[tex]\sqrt[4]{6} \cdot \left[cos\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) + i \cdot sin\left(\dfrac{-\dfrac{\pi}{3} + 2\cdot 3 \cdot \pi}{4} \right) \right] \\= \sqrt[4]{6} \cdot \left[cos\left({\dfrac{17 \cdot \pi}{12} } \right) + i \cdot sin\left(\dfrac{17 \cdot\pi}{12} } \right) \right][/tex]
Answer:
Step-by-step explanation:
Just took the test.
1) 4sqrt6 cis(pie/6)
2) 4sqrt6 cis (2pie/3)
3) 4sqrt6 cis(7pie/6)
4) 4sqrt6 cis (5pie/3)
Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 15 hours. Together they charged a total of $2475 . What was the rate charged per hour by each mechanic if the sum of the two rates was $200 per hour?
plssssssss help !!!!!!!!!
Answer:
Rates :
$95 per hour and $105 per hour
Step-by-step explanation:
Let their rate = x and y respectively :
10x + 15y = 2475 - - - - (1)
x + y = 200 - - - - (2)
x = 200 - y - - (3)
Put (3) into (1)
10(200 - y) + 15y = 2475
2000 - 10y + 15y = 2475
5y = 2475 - 2000
5y = 475
y = 95
x = 200 - y
x = 200 - 95
x = 105
Bryson hopes to win a three-day vacation in a drawing that is being held at his office. He purchased 40 raffle tickets. There were 500 raffle tickets sold. What is the theoretical probability of Bryson winning the trip?
StartFraction 2 over 25 EndFraction
One-fifth
Four-fifths
StartFraction 500 over 40 EndFraction
Answer:
A is correct 2/25.
Step-by-step explanation:
Thats what answer I got from doing the math
HELPPP ME PLEASEEEEEE
Answer:
Step-by-step explanation:
[tex]y^2 = 100 + 196 = 296\\\\y = \sqrt{296} \\\\y = 17.20[/tex]
product of -3/7a and -21/15b
Answer:
182857142857/100000000000
Answer two questions about Equations AAA and BBB: A. 2x-1+3x=0 B.5x-1=0. How can we get Equation BBB from Equation AAA? and is equation A and B equivalent?
Answer:
you would simplify equation a by combining 2x plus 3x. yes they are equivalent. you can use any x to make the equation true.
Step-by-step explanation:
Answer:
Multiply/divide both sides by the same variable expression
No
Expand (p - q)(p+q).
Answer:
p^2 - q^2
Step-by-step explanation:
This is an example of "the product and difference of two squares."
The relevant formula is (a - b)(a + b) = a^2 - b^2 (no middle term).
Here,the desired product is (p - q)(p + q) = p^2 - q^2.
Answer:
(p - q)(p+q). :p²-q²....
You are mowing your neighbor's lawn. He is going to pay you $20.00 for the first two hours and $5.00 for anything after that. Which algebraic expression represents how much you will be paid for working h hours?
Answer: H = 35
Step-by-step explanation:
You do 20.00+5*h
On January 1, Mario had a savings account balance of $2742 and by April 1, his balance had increased to $3597. Find Mario's average savings rate in dollars per month for that period.
Answer: $285
Step-by-step explanation:
First and foremost, we should note that from January 1 to April 1 is 3 months. Since Mario had a savings account balance of $2742 on January 1 and by April 1, his balance had increased to $3597. The increase in balance will be:
= $3597 - $2742
= $855
Then the average savings rate will be:
= Total amount saved / Number of months
= $855/3
= $285
He had an average savings of $285 per month.
10. Fill in the blanks so as to make the statement true:
(i) A number which can be expressed in the form m/n, where m and n are
integers and n is not equal to zero, is called a ________.
(ii) If the integers m and n have no common divisor other than 1 and n is
positive, then the rational number m/n is said to be in the ________.
(iii) Two rational numbers are said to be equal, if they have the same
________ form.
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/______
(v) lf p and q are positive integers , then m/n is a ________ rational
number and m/-n is a ________ rational number.
(vi) The standard form of -1 is ________.
(vii) If m/n is a rational number, then n cannot be ________
(viii) Two rational numbers with different numerators are equal, if their
numerators are in the same ________ as their denominators.
Step-by-step explanation:
(I) A number which can be expressed in the form m/n, where m and n are integers and n is not equal to zero, is called a Rational Number .
(ii) If the integers m and n have no common divisor other than 1 and n is positive, then the rational number m/n is said to be in the Simplest form .
(iii) Two rational numbers are said to be equal, if they have the same Simplest form .
(iv) If m is a common divisor of x and y, then x/y = (x ÷ k)/( y ÷ k) .
(v) The standard form of -1 is -1/1
(vi) If m/n is a rational number, then n cannot be 0
(vii) Two rational numbers with different numerators are equal, if their numerators are in the same ratio as their denominators.
Help me please
Point K(–5, 2) is the midpoint of line segment Y Z , with endpoint Y(1, –3). What are the coordinates of Z?
The equation of the line of best fit is y=3x+2. x=the number of ice cream sales and y= the number of days. Answer the following questions. Show your work as proof.
a. How many days did it take, if the number of ice cream sales is $40?
b. How much ice cream was sold on day 8?
Step-by-step explanation:
y = 3(40) + 2y = 120 + 2y =122.Question 13.
Calculate X + Y
A. 9 12
0 1
B. 9 -12
0 -5
C. 9 -2
-18 -1
D. 9 2
-8 -1
Answer:
D is your correct answer.