Answers
Answer: 214 degrees
Step-by-step explanation:
Related Questions
What is the mean and MAD of this data set? (image below)
Answers
Answer:
Mean = 8 gerbils
MAD = 4.29 gerbils
Step-by-step explanation:
Find the mean:
Mean= 0+3+6+9+11+13+14 ÷ 7
Mean = 56 ÷ 7
Mean = 8 gerbils
you have to find the distance of each value of gerbil from the mean
8,5,2,1,3,5,6
MAD = 9+6+3+0+2+4+5 ÷ 7
MAD = 30 ÷ 7
MAD = 4.29 gerbils
9. At a high school, 40% of the students play an instrument. Of those students, 20% are freshmen. Of the students who do not play an instrument, 30% are freshmen. What is the probability that a student selected at random is a freshman who plays an instrument?
Answers
Answer:
0.6%
Step-by-step explanation:
40% is the percentange of how many students play an instrument. (the whole) 20% is how many freshmen play. (part)
30% are the freshmen. 30% is over 100%.
20 x 100= 2000 and 40 x 30= 1200.
With the answers we got (2000 and 1200) we divide!!
2000÷1200=0.6
Which means the probabillity that the student is a random freshmen is 0.6% :)
Can someone please help me with this and thank you :))
Answers
Answer:
14000
Step-by-step explanation:
The number in the thousands place is 4 so we look at the number after it which is 2:
Using the rounding rule, the number 2 is below 5 so we keep the 4 at 4:
So our answer is 14000.
Answer:
14000
Step-by-step explanation:
Since they are asking for us to round it to the nearest thousands, we have to look at the hundreds place to figure out whether we should round up or down. The number in the hundreds place is 2, and that means we round down to 14000 ("four or less, let it rest. five or more, raise the score").
Therefore, 14295.67 rounded to the nearest thousand is 14000.
I hope this helps! Have a lovely day!! :)
The lengths of two sides of a triangle are shown.
Side 1: 3x^2 − 2x − 1
Side 2: 9x + 2x^2 − 3
The perimeter of the triangle is 5x^3 + 4x^2 − x − 3.
Part A: What is the total length of the two sides, 1 and 2, of the triangle? Show your work.(4 points)
Part B: What is the length of the third side of the triangle? Show your work. (4 points)
Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points)
Answers
Answer:
See below ↓↓↓
Step-by-step explanation:
Part A
Total length = Side 1 + Side 2
3x² - 2x - 1 + 9x + 2x² - 33x² + 2x² + 9x - 2x - 1 - 35x² + 7x - 4Part B
Length of 3rd side = Perimeter - [Side 1 + Side 2]
L = 5x³ + 4x² - x - 3 - [5x² + 7x - 4]L = 5x³ + 4x² - x - 3 - 5x² - 7x + 4L = 5x³ - x² - 8x + 1Part C
Yes, as the resulting polynomial has a finite value we can conclude that polynomials are closed under addition and subtraction.
Part A: The total length of the two sides of the triangle is [tex]5x^2+7x-4[/tex]. This is obtained by adding the given two sides.
Part B: The length of the third side is [tex]5x^3-x^2-8x+1[/tex]. This is obtained by subtracting the sum of two sides from the perimeter of the triangle.
Part C: Yes, the Part A and Part B answers show that the polynomials are closed under addition and subtraction. This is because the expressions have like terms.
Polynomials:These are the expressions that are formed with constants, coefficients, and variables. based on the highest degree of the variable in the expressions, the polynomials are classified into many types.Calculation:Given that, a triangle has two sides of length [tex]3x^2-2x-1[/tex] and [tex]9x+2x^2-3[/tex]
The perimeter of the triangle is [tex]5x^3+4x^2-x-3[/tex]
Part A:
To find the total length of two sides, adding the two side
⇒ [tex](3x^2-2x-1)+9x+2x^2-3\\[/tex]
⇒ [tex]5x^2+7x-4[/tex]
(adding the like terms w.r.t their sign)
Part B:
To find the length of the third side, subtract the sum of two sides from the perimeter.
⇒ [tex](5x^3+4x^2-x-3)-(5x^2+7x-4)[/tex]
⇒ [tex]5x^3-x^2-8x+1[/tex]
Part C:
From Part A and Part B, it is proved that the polynomials undergo addition and subtraction. Hence, it is justified.
Therefore, Part A, Part B, and Part C were obtained.
Learn more about polynomials here:
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How did Morgan solved the equation x2 - 10x + 2 = 0
Answers
Answer
Force a perfect square trinomial on the left side. Take the square root of both sides and solve for
3√ 3, − 5 − 3 √ 3
Step-by-step explanation:
Identify any intervals of increase y = -4(x –3) ^2
Answers
Answer:
-4
Step-by-step explanation:
<symbol means squared or increase and so does ( )
Which of the following points is a solution to the system of inequalities?
6x-2y<10
6x+3y>/=15(greater than or equal to)
A. (1,2)
B. (3,3)
C. (0,5)
D. (2,1)
Answers
Answer: C (0,5)
Step-by-step explanation:
So firstly you're going to try to solve the inequality, so what I did first is used the second equation because if I divide both sides by 3, I'm able to get the y by itself:
6x+3y>/=15, 6/3=2, 3/3=1, 15/3= 5
So now its: 2x+y>/=5
now I should get the y by itself by subtracting 2x from both sides to get
y>/=15-2x, now if we wanted to plug it in to the top equation, we could make it as, y=15-2x because the it is GREATER THAN OR EQUAL TO.
so to plug it in to the first equation we get:
6x-2(15-2x)<10,
x<4, to find y we just plug it in to any equation now we have x, so I did
6(3)-2y<10
18-2y<10
-18 -18
-2y<10
divide both sides by -2 (flips the equation sign)
y>4,
So take consider both X and Y values, C would be correct because X is less than four and 0 is less than four, and 5 is greater than four.
 Find the length of the third side. If necessary, write in simplest radical form.
IMAGE DOWN BELOW!
SOMEONE PLEASE HELP ME!! ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
2√6
using pythagoras theorem:
a² + b² = c²
5² + b² = 7²25 + b² = 49b² = 49 - 25b² = 24b = √24b = 2√6Answer:
2√6 unitsStep-by-step explanation:
The length of the third side can be determined using pythogoras theorem. Keep in mind that pythogoras theorem can only be used when finding the missing side length of a right triangle.
[tex]\text{Pythagoras theorem: (Longest side})^{2} = (\text{Leg of right triangle}_{1} ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
In this triangle, we are given that:
The longest side of the triangle is measuring 7 units. A leg of the triangle is measuring 5 unitsSubstitute the measures into the pythogoras theorem:
[tex](7})^{2} = (5 ) ^{2} + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Simplify both sides of the equation:
[tex]\rightarrowtail (7 \times 7}) = (5 \times 5) + (\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail49 = 25 + (\text{Leg of right triangle}_{2} )^{2}[/tex]
Subtract 25 both sides:
[tex]\rightarrowtail49 - 25 = 25 - 25 +(\text{Leg of right triangle}_{2} )^{2}[/tex]
[tex]\rightarrowtail24 = (\text{Leg of right triangle}_{2} )^{2}[/tex]
Square root both sides and simplify:
[tex]\rightarrowtail\sqrt{24} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail\sqrt{3 \times 2\times 2 \times 2} = \sqrt{(\text{Leg of right triangle}_{2} )^{2}}[/tex]
[tex]\rightarrowtail2\sqrt{3 \tim \times 2} = \text{Leg of right triangle}_{2}[/tex]
[tex]\rightarrowtail\boxed{2\sqrt{6} \ \text{units} = \text{Leg of right triangle}_{2}}[/tex]
How do you use exponents in a test
Answers
Answer:
An exponent is a number that is to a certain value, like 5^2.
The ^2 means multiply by itself by itself ONCE,
so it would be 5x5.
5^3 means multiply it by itself TWO TIMES,
and going on and on.
Let's say you have a test and the question it's asking is to simplify 5^4.
It's 5x5x5x5, multiplying it by itself FIVE TIMES.
Hope this helped!
Why at is 4x^2 -24x+7=3
Answers
Answer:
can you clear more I don't understand
The sum of two positive integers is 31. If the sum of the squares of these numbers is 625,find the smaller of the numbers.
Answers
Step-by-step explanation:
It is given that, the sum of two positive integers is 31 and the sum of the squares of these numbers is 625 and we are to find the smaller of the numbers.
So, let the two positive integers be x and y.
Therefore,
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x + y = 31 \: \: ........ \: (i) }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + y {}^{2} = 625 \: ...... \: (ii)}}} \\ \\[/tex]
Now, From the first equation we have,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x + y = 31 }}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad y = 31 - x \: ...... \: (iii)}}} \\ \\ [/tex]
Now, substituting the value of y in equation (ii) we get :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x {}^{2} + (31 - x) {}^{2} = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + (31 {}^{2} - 2.x.31 + x{}^{2} ) = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + (961 - 62x + x{}^{2} ) = 625}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} + 961 - 62x + x{}^{2} - 625 = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2 x {}^{2} + 336 - 62x = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2 x {}^{2} - 62x + 336 = 0}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad 2( x {}^{2} - 31 + 168) = 0}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad \frac{2}{2} ( x {}^{2} - 31 + 168) = \frac{0}{2} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x {}^{2} - 31 + 168 = 0}}} \\ \\[/tex]
Now using the quadratic formula :
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac} }{2a} }}} \\ \\[/tex]
Where,
a = 1b = -31c = 168[tex] \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ - (- 31) \pm \sqrt{ {31}^{2} - 4(1)(168)} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm \sqrt{ 961 -672} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm \sqrt{ 289} }{2(1)} }}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 \pm 17 }{2(1)} }}} \\ \\[/tex]
Now, we have two equations,
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 + 17 }{2} \: ... .....\: (iv)}}} \\ \\[/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 - 17 }{2} ... .....\: (v)}}} \\ \\[/tex]
So, Equation (iv) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 + 17 }{2} }}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 48 }{2} }}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x = 24 }}} \\ \\ [/tex]
Now, Equation (v) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad x = \frac{ 31 - 17 }{2}}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \frac{ 14 }{2}}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad x = \: 7}}}\\ \\ [/tex]
So, the value of x is 7 or 24Now, we are to find the value of y.
Substituting the value of x (24) in equation (iii) :
[tex] \\ {\longrightarrow \pmb{\sf {\qquad y = 31 - x \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad y = 31 - 24 \:}}} \\ \\ [/tex]
[tex]{\longrightarrow \pmb{\sf {\qquad y = 7 \:}}} \\ \\ [/tex]
Again, Substituting the value of x (7) in equation (iii) :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad y = 31 - x \:}}} \\ \\ [/tex]
[tex] {\longrightarrow \pmb{\sf {\qquad y = 31 - 7 \:}}} \\ \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad y = 24 \:}}} \\ \\ [/tex]
Therefore,
The value of y is also 7 or 24.[tex] \\ [/tex]
So, The smaller of the numbers is 7 .
The sum of two positive integers is 31. If the sum of the squares of these numbers is 625, find the smaller of the numbers.
Given : -Sum of two positive numbers = 31Sum of squares of these numbers = 625To Find : - We have to find the smaller of the numbers .Concept : -This question belongs to quadratic equations so we have to find the answer by making equation and solving it .
To Assume : -Let the first no. be x Let the second no. be ySo let's get started with Solution :According to question , sum of two positive integers is 31 . So ,
x + y = 31 --------- ( Equation 1 )According to question , sum of square
of these numbers is 625 . So ,
x² + y² = 625 --------- ( Equation 2 )From equation 1 ( x + y = 31 ) , Value
of x :
x = 31 - yNow , putting value of x in eq. 2 :
x² + ( 31 - x )² = 625 x² + ( 31 )² - ( 2 × 31 × x ) + x² = 6252x² + 961 - 62x = 6252x² - 62x = 625 - 9612x² - 62x = -3362x² - 62x + 336 = 0 2(x² - 31x + 168 ) = 0x² - 31x + 168 = 0Solving it by using middle term
splitting :
x² -24x -7x + 168 = 0x ( x - 24 ) -7 ( x - 24 ) = 0( x - 7 ) ( x - 24 )So ,First number ,
x - 7 = 0x = 7 { Smaller Number }Second Number ,
x - 24 = 0x = 24Verification :According to question ,
Sum of numbers is equal to 31 :
x + y = 317 + 24 = 31L.H.S = R.H.SSum of squares of these numbers is equal to 625 :
x² + y² = 6257² + 24² = 62549 + 576 = 625625 = 625L.H.S = R.H.STherefore , our value for x and y are true. Thus our answer is valid.#[tex] \rm{Keep \: Learning}[/tex]Pahelp Po pls.. hina ko kase sa math hihi:,-):-)
Answers
Step-by-step explanation:
1) C
2) B
5) C
6)D
7) D
8) B
9) Figure not clear
10) C
11) D
12) B
13) D
14) A
15) D
P.S try to do ur own tests
I don’t understand this at all
Answers
keeping in mind that Mt Everest is 8000 meters, or namely 8 Kilometers, Check the picture below.
A rectangular deck has a length of 12 feet and a perimeter of 36 feet. Include units with your answers.
The deck's width is____________________.
The deck's area is_______________________.
PLS HELPPPPPP
Answers
Answer:
The deck's width is 9 feet
The deck's area is 18 feet
Correct po yan
Hope it helps po
Answer:
Deck Width: 6 Feet
Deck Area: 72 Feet Squared
Step-by-step explanation:
[l = length, w = width, f = feet, p = perimeter, a = area]
A = l x w
P = 2l + 2w [l = 12f, p = 36f]
P = 2l + 2w
=> 36f = 2 (12f) + 2w
=> 36f = 24f + 2w
=> 36f - 24f = 2w
=> 12f = 2w
=> 2w/2 = 12f/2
=> W = 6f
Therefore: Width = 6 Feet
A = l × w
A = 12f × 6f
A = 72f^2
Therefore: Area = 72 Feet Squared
Measia rode her bike 174 miles in six days, riding the same distance each day. Jamal rode his bike 135 miles in five
days, riding the same distance each day. Which of the following statements is true?
Answers
Answer:
6
Step-by-step explanation:
, , , , ,, , , , , , , , ,sssss
65, 46, 78, 3, 87, 12, 99, 38, 71, 38
what is the median??
Answers
Answer:
median = 55.5
Step-by-step explanation:
Here we have 10 numbers which is an even number
then the median for the data set is the average of the two middle numbers
firstly ,we have to put the number of the set in order from least to greatest like this :
3 < 12 < 38 < 38 < 46 < 65 < 71 < 78 < 87 < 99
———————— ————————-
As you can see the middle two numbers are : 46 and 65
Now, we calculate their average :
[tex]\large \text Median = \frac{46+65}{2}= 55.5[/tex]
Can someone help me?
Answers
Answer:
What are you trying to do you have not Explained to us
Step-by-step explanation:
a maxicool consists of a cone full of ice cream with a hemisphere of ice cream on top. the radius of a hemisphere is 3cm. The height of the cone is 10cm. calculate the total volume of the ice cream round your answer to the nearest tenth
Answers
According to the information, it can be inferred that the volume of the ice cream is close to 207.33 cm³
How to calculate the volume of the maxicool?To calculate the volume of the maxicool, we must calculate the volume of the sphere of ice cream, and the volume of the cone that is filled with ice cream.
Volumen of the sphereV = [tex]\frac{4}{3}[/tex] × π × R³
V = [tex]\frac{4}{3}[/tex] × π × 3³
V = 113.09 cm³
Cone volume
V = [tex]\frac{1}{3}[/tex] × π × R² × h
V = [tex]\frac{1}{3}[/tex] × π × 3² × 10
V= 94.24 cm³
Finally we must add both values to know the total volume of the maxicool.
113.09 + 94.24 = 207.33 cm³
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What is the largest whole number I could be if 9 + I is larger than 28?
Answers
Answer:
20 and greater than 20
If you add 9 and 20, you get 29, which is one greater than 28.__________________________________________________________
Questions?Ask me in the comments box.
I NEED HELP FAST
LIKE FAST FAST HELP MEEEE
Answers
Answer:
<DFE
Step-by-step explanation:
Verticle angles are when they are directly apart and equal. So,
Enter the missing numbers in the boxes to complete the table of equivalent ratios of lengths to widths.
Answers
Answer:
for number 6 the width is 24 and the blank after the length of 9 is 12 and after 48 width it is 60. your welcome.
on a linear graph, the rate of change is called the ____ of a line
Answers
Answer:
On a linear graph, the rate of change is called the slope of a line
Step-by-step explanation:
Hope this helps
The complete statement is, on a linear graph, the rate of change is called the slope of a line.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the above concepts we now know that, on a linear graph, the rate of change is called the slope of a line.
It can also be defined as, (y₂ - y₁)/(x₂ - x₁).
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Which statements are true about triangle PRS? Select THREE options.
Answers
2: The side adjacent to angle Q is QS.
3: The hypotenuse is QR.
So the first, third, and fifth options.
Given the function f(x)=2x+1/x and f′(1/x)=f(−x).
Find the value of x∈R correct to 3 significant figures.
x=−2.83
x=0.382
x=−1
x=2.83
I NEED A QUICK ANSWER PLSSS
Answers
HELP!!!!!!!!!!!!!!!!!!!!!!
Answers
If a + b - 3 = 0
then, a = 3 - b.
Let’s substitute it in the second expression.
(3 - b)^3 + b^3 + 9(3 - b)(b) - 26 = 27 - 27b + 9b^2 - b^3 + b^3 + 9(3b - b^2) -26 =
= 27 - 27b + 9b^2 + 27b - 9b^2 - 26 = 1
Which statement best describes the "cult of domesticity" that emerged in the late 19th century?
A. A movement to allow women into medical schools.
B. Groups of women who gathered to discuss matters of the home and family.
C A widespread set of values relating to women, their behavior, and their place in the home.
D. The movement to attain voting rights for women citizens.
Answers
Answer:
a movement one single movement cultivating one group
Answer: C
Step-by-step explanation:
2. Which of these lines meet at a point and produce square corner or right angle? * A. connecting lines B. parallel lines C. intersecting lines D. perpendicular lines
Answers
A street trader spent 550 on x article, each costing (2x -28) find x
Answers
Answer:
the x is 538
Step-by-step explanation:
sorry if im not right
What is the polygon being Rotated to create the blue quilt block pattern
Answers
Parallelograms have the tilt and 2 sets of parallel sides
As shown, to obtain the blue quilt block pattern, we have to rotate the parallelogram.
What is parallelogram?A parallelogram is a quadrilateral consisting of pairs of parallel sides.
To obtain the blue quilt block pattern, we have to rotate the parallelogram. This rotation allows the parallelogram to take on a new orientation, and when it is positioned correctly, it creates the blue quilt block pattern. The process of rotating the parallelogram may seem simple, but it is a critical step in achieving the desired quilt design. It requires attention to detail and precision to ensure that the parallelogram is correctly rotated, and the resulting blue quilt block pattern is aligned correctly.
Moreover, the correct rotation of the parallelogram can significantly impact the overall appearance of the quilt, and even a slight misalignment can make a noticeable difference. Therefore, it is important to carefully follow the instructions to rotate the parallelogram to achieve the intended blue quilt block pattern.
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hellllpppppppp plssssssssss
Answers
Answer:
69
Step-by-step explanation:
Find the area of the rectangle. 15 x 3 = 75.
Find the area of the cut-out triangle.
1/2bh
1/2(3(4))
1/2(12)
6
75 - 6 = 69.