Answer:
86+36=122
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!
Help me it says use the figure for 1 and 2
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]
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.
The diameter of the U.S. Capitol Building’s dome is 96 feet at its widest point. Find its circumference. Use 3.14 for π.
Answer:
301.44 ft
Step-by-step explanation:
HELPPP ME PLEASEEEEEE
Answer:
Step-by-step explanation:
[tex]y^2 = 100 + 196 = 296\\\\y = \sqrt{296} \\\\y = 17.20[/tex]
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.
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)
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
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HELLPP ASAP!!!!
1. Find the unknown side lengths in these right triangles.
Answer:
10
Step-by-step explanation:
5x2
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....
ASAP NEED HELP ON MY MATH RETAKE I NEED HELP PLZZZ IM BEGGING YALL
Answer:
I think it's c but I'm not 100%
Step-by-step explanation:
sorry if I'm wrong
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]
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:
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?
what is 2/4 divided by 3
Answer:
0.166
Step-by-step explanation:
Hi can somebody answer this please, and write out the steps to the final answer:)
Answer:
h(g(4)) = -27
Step-by-step explanation:
first find g(4):
[tex]g(x)=x^2-1\\\\g(4)=4^2-1\\\\= 16 - 1\\\\= 15[/tex]
then plug that into h(x):
[tex]h(x)=-2x+3\\\\h(15)= -2(15) + 3\\\\= -30 + 3\\\\=-27[/tex]
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
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.
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
5 1/2 ÷ 3 2/3 + 1 4/5 , giving answer as a fraction in lowest terms
Answer:
6761/320
Step-by-step explanation:
[(51/2)÷32/3]+14/5
=6761/320
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
Which best describes a triangle
Answer:
i think the answer may be acute and isosceles
What polynomial must be added to 3x2 + 4x + 7 to obtain the sum of 0?
Answer:
do (3x2+4x+7)+y=0
y=-3x^2-4x-7
If the height of the cylinder is 3 inches, what is the volume of the cylinder
Answer:
V = 27π or approx 85 cubic inches
Step-by-step explanation:
V(cyl) = πr²h
V = π·3²·3
V = 27π
In a survey, 400 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.
Cards Chosen
Number
1
2
3
4
5
The theoretical probability of choosing a card with the number is
nothing%. The experimental probability of choosing a card with the number is
nothing%. The theoretical probability is
the experimental probability.
(Type integers or decimals.)
Answer:
25
Step-by-step explanation:
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.
For every 2 gallons of vanilla ice cream a shop sells, they sell 11 gallons of chocolate ice cream. If they sell 16 gallons of vanilla ice cream, how many gallons of chocolate ice cream is sold?
Answer: 88 gallons
Step-by-step explanation:
Every 2 vanillas = 11 chocolates
so 16 vanillas = 88 chocolates
i did this by multiplying both numbers by 8
sorry if this is wrong
20 is what percent of 52? Solve with an Equation
Answer:
38.46
Step-by-step explanation:
Percentage Calculator: 20 is what percent of 52? = 38.46.
The surface areas of to somewhere figures are 36 inches squared and 49 inches squared. If the volume of the similar figure is 640 inches cubed, what is the volume of the larger figure?
A) 1029in^3
B) 746in^3
C) 408in^3
D) 882in^3
Answer:
345
Step-by-step explanation: