Step-by-step explanation:
-3x² + 2y² + 5xy -2y + 5x² - 3y²
= -3x² + 5x² +2y² -3y² + 5xy -2y
= 2x² - y² +5xy -2y
2 terms
Which data set has the largest standard deviation?
O A. 12, 14, 13, 14, 12, 13, 12
O B. 1,6,3, 15, 4, 12,8
O C. 20, 21, 23, 19, 19, 20, 20
D. 3,4,3, 4, 3, 4,3
SU
Answer:
I thinks it's B.not sure...
The deviation of the mean between the sample is less in option B.
What is a standard deviation?It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.
The mean is the numerical normal of a bunch of at least two numbers. The number juggling means and the mathematical mean are two sorts of implications that can be determined.
If the deviation of the mean between the sample is more, then the deviation will be more.
Let's check all the options.
A. 12, 14, 13, 14, 12, 13, 12
The mean is calculated as,
Mean = (12 + 14 + 13 + 14 + 12 + 13 + 12) / 7
Mean = 12.86
B. 1,6,3, 15, 4, 12,8
The mean is calculated as,
Mean = (1 + 6 + 3 + 15 + 4 + 12 + 8) / 7
Mean = 7
C. 20, 21, 23, 19, 19, 20, 20
The mean is calculated as,
Mean = (20 + 21 + 23 + 19 + 19 + 20 + 20) / 7
Mean = 20.28
D. 3,4,3, 4, 3, 4, 3
The mean is calculated as,
Mean = (3 + 4 + 3 + 4 + 3 + 4 + 3) / 7
Mean = 3.43
The deviation of the mean between the sample is less in option B.
More about the standard deviation link is given below.
https://brainly.com/question/12402189
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What's the correct answer to this..? Please help
Answer:
D. {x:-8≤x<-5}
Step-by-step explanation:
x≥-8
x={-8,-7,-6,-5,-4,-3,-2,-1,0...}
x<-5
x={-6,-7,-8,-9,-0...}
Numbers equal to or less than -8 are also less than -5
Hope it helps ;) ❤❤❤
Answer:
The answer is "D"
A cake mix calls for these ingredients. 2 cups of sugar 7 cups of flour 3 cups of milk 1 cup of oil Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
Answer:
Ratio of sugar and flour
2:7
Ratio of milk and oil
3:1
Step-by-step explanation:
Here in this question, we shall be writing ratios based on the given number of cups in the question.
We start with ratio of sugar to flour.
We have;2 cups of sugar and 7 cups of flour. Thus we have the ratio of sugar to flour as 2:7
Also we want the ratio of milk and oil
we have 3 cups of milk and 1 cup of oil
So the ratio of milk and oil is 3:1
Answer: TO be short for it its B! :D
A cake mix calls for these ingredients.
2 cups of sugar
7 cups of flour
3 cups of milk
1 cup of oil
Write the ratios of sugar to flour and milk to oil. Which correctly compares the ratios?
3/7 > 2/1
2/7<3/1
7/1<2/3
3/2>1/7
2
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2/7<3/1
with 2 cups of sugar to 7 cups of flour that is a small ratio/ fraction while as
3 cups of milk to 1 cup of oil is a larger ratio/fraction.
douwdek0 and 60 more users found this answer helpful
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Answer: The correct option is (B).
The ratio of sugar to flour is and the ratio of milk to oil is
Step-by-step explanation: Given that a cake mix calls for the following ingredients:
2 cups of sugar , 7 cups of flour , 3 cups of milk and 1 cup of oil.
We are given to write the ratios of sugar to flour and milk to oil and select the correct comparison of the ratios.
The ratio of sugar to flour is given by
and the ratio of milk to oil is given by
Since
so have
Thus, the ratio of sugar to flour is and the ratio of milk to oil is The correct comparison is
Option (B) is CORRECT.
Step-by-step explanation:
2^2(3-8)÷5-1 please help
Answer:
-5
Step-by-step explanation:
2^2*(3-8)÷5-1
4*(-5)÷4
-20÷4
=-5
Answer:
-5
Step-by-step explanation:
Firstly 2^2=4, 4(3-8)=4*(-5)= -20, -20/5 -1= -4-1= -5
what is 2-3+5÷16?
please give the answer by solving it
Answer:
HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST
Answer:
Step-by-step explanation:
2-3+5/16 = -1+5/16 = 4/16 = 1/4 = 0.25
hope it helps
The base of a regular pyramid is a hexagon.
Answer:
96[tex]\sqrt{3}[/tex] cm²
Step-by-step explanation:
A hexagon can be cut into 6 equilateral triangles.
Using the half shown in the diagram to calculate the apothem a , and the exact value
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , then
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{8}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )
2a = 8[tex]\sqrt{3}[/tex] ( divide both sides by 2 )
a = 4[tex]\sqrt{3}[/tex] cm
The area (A) can be calculated using
A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter of the hexagon )
The sides of the hexagon measure 8 cm ( equilateral Δ has congruent sides )
p = 6 × 8 = 48 cm, so
A = [tex]\frac{1}{2}[/tex] × 48 × 4[tex]\sqrt{3}[/tex] = 96[tex]\sqrt{3}[/tex] cm²
What else would need to be congruent to show that ABC= ADEF by SAS?
A. ZCE ZF
B. BC = EF
O C. ZA= ZD
D. AC = DF
Answer:
The correct option is;
c. ∠A ≅ ∠D
Step-by-step explanation:
The given information are;
[tex]\overline{AB}\cong \overline{DE}[/tex]
[tex]\overline{AC}\cong \overline{DF}[/tex]
Therefore, for Side Angle Side, SAS, condition of congruency, we have;
The included angle should be congruent that is ∠C ≅ ∠D
Two triangles, triangle ABC and triangle XYZ for example, having two adjacent sides, AB and AC in triangle ABC and XY and XZ in triangle XYZ of corresponding length such that AB ≅ XY and AC ≅ XZ and also having congruent included angles between the two sides (∠A ≅ ∠X), the two triangles are said to be congruent.
For triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
What is the SAS Congruence Theorem?SAS means, side-angle-side congruence theorem, which states that two triangles are congruent if they have two pairs of congruent sides and a pair of congruent angles that are included angles (in between the two congruent sides).
Therefore, for triangles ABC and DEF to be considered congruent triangles, the additional information that is needed to be congruent is: C. ∠A ≅ ∠D
Learn more about SAS congruence theorem on:
https://brainly.com/question/14252518
Which of the following statements is true
A. The relationship is a function because there are no two y-values corresponding to the same x-value
B. The relationship is not a function because there is more than one x value corresponding to y=2
C. The relationship is not a function because there are values of y that have no corresponding x- value
D. The relationship is not a function because each y has a corresponding x-value
find the coordinates of the point satisfying lying on x axis at a distance of 5 units to the right of x axis lying on y axis at a distance of 3 units below the orgin
Answer:
(5, -3)
Step-by-step explanation:
Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).
On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.
Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.
According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5
Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.
Hence, the coordinates satisfying this points (x,y) is (5, -3)
3√6+4√6 is equal to
Answer:
[tex]7\sqrt{6}[/tex]
Step-by-step explanation:
You can only add radicals if the value inside the square root symbol is the exact same, therefore, this one is 6. To find the sum, we can add the values outside the square root symbol (3 and 4) to get our new radical.
We can also check this.
[tex]3\sqrt{6} = \sqrt{9*6} = \sqrt{54}[/tex] ≈ 7.35
[tex]4\sqrt{6} = \sqrt{16*6} = \sqrt{96}[/tex] ≈ 9.8
[tex]7\sqrt{6} = \sqrt{49*6} = \sqrt{294}[/tex] ≈ 17.15
7.35+9.8 = 17.15
Hope this helped!
Answer:
17.15
Step-by-step explanation:
[tex]3\sqrt{6}[/tex]
Square root of 6 is about 2.45
2.45 * 3 = 7.35
[tex]4\sqrt{6}[/tex],
Square root of 6 is about 2.45,
2.45*4 = 9.8
7.35 + 9.8 = 17.15
in which table does y vary inversely with x?
Answer:
Table B
Step-by-step explanation:
Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:
In table C:
As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.
In table D:
As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.
We are left with options A and B
If y varies inversely as x, the following relationship must hold:
[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]
Where k is a constant of proportionality
considering option B:
When x = 1, y = 36
36 = k/1
k = 36 * 1
k = 36
when x = 2, y = 36/2
y = 18
when x = 3, y = 36/3
y = 12
These tally with all that is indicated in the table. Option B is an inverse variation
The pentagon ABCDE is dilated to the image A'B'C'D'E' with the center of the dilation at the origin.
Select all true statements
The scale factor of the dilation is 1/4
The line EA is parallel to the E’A’ because EA passes through the center of the dilation
Since the line C’D’ falls on the line CD, the scale factor is. It applied on the line CD
The scale factor of the dilation is 1/2
The line CD is not parallel to the line C’D’ because CD passes through the center of the dilation
Now I’m no genius but I‘m pretty sure the answers are “c” and “d”
Ya’ll have a good day or night, whichever one!
The true statement for the Pentagon in the given graph is
The scale factor of the dilation is 1/2 with the center at the origin(0,0).
Dilation:Dilation implies resize of any object.
It may increase or decrease the object by a particular value.The particular value is called the scale factor. Properties of Dilation of figure:Parallel lines in the dilated figure remain the same as in the original figure.The dilation of any figure does not vary from each angle of the figure.The midpoints of the dilated figure remain the same as that of the original figure.True statement:The scale factor of the dilation of the pentagon is 1/2.
Reason:The pentagon with vertices A(0.5,4.5), B(2,3), C(1,0), D(-2,0), E(-3,3) when multiplied by 1/2 we get The vertices of the dilated pentagon as A'(0.25,2.25), B'(1,1.5), C'(0.5,0), D'(-1,0), E(-1.5,1.5). When we plot the points A'B'C'D'E' in the graph, obtain the dilated pentagon with a center at the origin. Wrong statement with Reasons:The scale factor of the dilation is not 1/4 because when we multiply the vertices of pentagon ABCDE by 1/4 we are not getting the dilated points as in the graph.The line EA is parallel to E'A' but,1. The line EA does not passes through the center of the dilation
at origin(0,0), which can be clearly seen from the given graph.
2. For two lines to be parallel it is not necessary for one of the
lines to pass through the origin.
The line C'D' is parallel to CD as we should see the figure in a 3-dimensional way and it also follows the properties of dilation of a figure.Hence the scale factor of the given pentagon is 1/2.
To learn more about the Dilation of polygons:
https://brainly.com/question/3020085?referrer=searchResults
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Can someone tell me the answer it would really help 3(x−2)+1 =
Step-by-step explanation:
3(x-2)+1
= 3x-6+1
= 3x-5
Answer:
Step-by-step explanation:
3(x-2)+1=
Then distribute, and now you get:
3x-6+1=
Now combine like terms, and now you get:
3x-5=
There is nothing much to do because there isn't a answer for it
I need someone to answer this immediately please. ... The area of a piece of land is 50cm square. Fi d the value of x, if the length
and breadth are given as (x+2) and (x-3)m respectively
options. A. 3
B. 5
C. 7
D. 8
Answer:
x=8
Step-by-step explanation:
Area is equal to
A = l * w
50 = ( x+2) ( x-3)
FOIL
50 = x^2 -3x+2x -6
Combine like terms
50 = x^2 -x -6
Subtract 50 from each side
0 = x^2 -x -56
Factor
What two numbers multiply to -56 and add to -1
-8*7 = -56
-8+7 = -1
0 = ( x-8) ( x+7)
Using the zero product property
x-8 =0 x+7 =0
x = 8 x=-7
Since the length cannot be negative x cannot be negative
x=8
Answer:
8
Step-by-step explanation:
put the 50 under area and continue with like that
Coffee is sold in two different sized canisters. The smaller canister has a diameter of 9 cm and a height of 12 cm. The larger canister is double the size of the small canister. Calculate the volume and surface area of each canister and compare the results of doubling the dimensions.
Answer:
volume 1 =763 cm3
volume 2 = 6,104 cm3
Second volume is 8 times greater than the first volume.
Surface area 1 = 466 cm2
surface area 2 =1,865 cm2
second surface area is 4 times greater than the first surface area .
Step-by-step explanation:
Volume of a cylinder: π radius^2 x height
Radius = diameter /2 = 9/2 = 4.5
V = 3.14 x 4.5^2 x 12 = 763 cm3
Surface area: (3.14 r^2)2 + 2(π x radius x height)
Sa = (3.14 x 4.5^2 )2 + 2(3.14 x 4.5 x 12 )=466 cm2
Since the second canister is double the size:
Radius = 4.5 x 2 = 9
Height = 12 x 2 =24
V = 3.14 x 9^2 x 24 = 6,104 cm3
Sa = (3.14 x 9^2 )2 + 2(3.14 x 9 x 24 )=1,865 cm2
Dividing the second volume by the first one:
6,104/ 763 = 8
Second volume is 8 times greater than the first volume.
Dividing the second surface area by the first one:
1865/466 = 4
second surface area is 4 times greater than the first surface area .
Please answer it now in two minutes
Answer:
901.1 km²
Step-by-step explanation:
The area of ∆WXY can be found using the formula, ½*a*b*sin(θ),
Where a and b, are two known sides of the triangle, and θ is the angle between both sides.
To find the area of ∆WXY, follow the steps below:
Step 1: Find XY using the law of sines.
m < W = 180 - (65 + 48) (sum of angles in a ∆)
W = 180 - (113) = 67°
X = 65°
WY = 49 km
XY = ?
[tex] \frac{XY}{sin(W)} = \frac{WY}{sin(X)} [/tex]
[tex] \frac{XY}{sin(67)} = \frac{49}{sin(65)} [/tex]
[tex] \frac{XY}{0.92} = \frac{49}{0.91} [/tex]
Cross multiply
[tex] XY*0.91 = 49*0.92[/tex]
Divide both sides by 0.91
[tex] \frac{XY*0.91}{0.91} = \frac{49*0.92}{0.91} [/tex]
[tex] XY = 49.54 [/tex]
XY ≈ 49.5
Step 2: find the area
Area = ½*WY*XY*sin(Y)
Area = ½*49*49.5*sin(48)
Area = ½*49*49.5*0.743
Area = 901.07325
Area = 901.1 km² (nearest tenth)
Please answer this question now
Answer:
469.4ft²
Step-by-step explanation:
We have Triangle WXY
In the question, we are given already
Angle W = 27°
Angle X = ?
Angle Y = 40°
Side w =?
Side x = ?
Side y = 38ft
Area of the triangle= ?
Step 1
We find the third angle = Angle X
Sum of angles in a triangle = 180°
Third angle = Angle X= 180° - (27 + 40)°
= 180° - 67°
Angle X = 113°
Step 2
Find the sides w and x
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle WXY
w/ sin W = x/ sin X = y/ sin Y
We have the following values
Angle W = 27°
Angle X = 113°
Angle Y = 40°
We are given side y = 38ft
Finding side w
w/ sin W= y/ sin Y
w/sin 27 = 38/sin 40
Cross Multiply
sin 27 × 38 = w × sin 40
w = sin 27 × 38/sin 40
w = 26.83879ft
w = 26.84ft
Finding side x
x / sin X= y/ sin Y
x/ sin 113 = 38/sin 40
Cross Multiply
sin 113 × 38 = x × sin 40
x = sin 113 × 38/sin 40
x = 54.41795ft
x = 54.42ft
To find the area of triangle WXY
We use heron formula
= √s(s - w) (s - x) (s - y)
Where S = w + x + y/ 2
s = (38 + 26.84 + 54.42)/2
s = 59.63
Area of the triangle = √59.63× (59.63 - 38) × (59.63 - 26.84 ) × (59.63 - 54.42)
Area of the triangle = √
Area of the triangle = 469.40772706541ft²
Approximately to the nearest tenth =469.4yd²
Together, two apples have 1/5 gram of fat. How many apples have a total of 4 grams of a
apples
Answer:
40 apples
Step-by-step explanation:
2 apples= [tex]\frac{1}{5}[/tex] grams
x apples= 4 grams
8/[tex]\frac{1}{5}[/tex] = 8 x 5/1=40
Answer:
40
Step-by-step explanation:
edu instruction correct
express each of the following decimal number in the p/q form (1)0.5 (2)3.8
Answer:
see explanation
Step-by-step explanation:
(1)
0.5 = [tex]\frac{5}{10}[/tex] = [tex]\frac{1}{2}[/tex]
(2)
3.8 = 3 [tex]\frac{8}{10}[/tex] = [tex]\frac{10(3)+8}{10}[/tex] = [tex]\frac{30+8}{10}[/tex] = [tex]\frac{38}{10}[/tex] = [tex]\frac{19}{5}[/tex]
TRUE OF FALSE : -4 <-2
Answer: false but not sure
Two tangents. find x. angle measures and segment lengths. Acellus. PLEASE HELP!!!
Answer:
x=60
Step-by-step explanation:
x=1/2(240-120)
x=60
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. What is another way to represent this solution set?
Answer:
[tex](\frac{2}{3},\infty)[/tex]
Step-by-step explanation:
Set builder notation is a mathematical notation used to write the elements of a set stating the conditions that the elements of the set must satisfy. A solution set is also a way of defining solutions to equations and inequalities. A solution set contains a set of all variables for which the equation is true.
The notation {x l x > two-thirds} is a set of all real numbers greater than 2/3, it can also be represented as:
[tex](\frac{2}{3},\infty)[/tex]
Answer:
c) (two-thirds, ∞)
Step-by-step explanation:
edg2020
Find the length of a cube with a surface area of 850cm^2 rounded to the nearest tenth. I need a step by step solution pleaseeee:)
Answer:
11.9 cm.
Step-by-step explanation:
A cube has a SURFACE AREA of 850 cm^2.
A cube has six congruent sides. That means that each side measures 850 / 6 = 141.666666667 cm^2.
Since a side measures 141.66667 cm^2, a side length will be the square root of that (the area of a square is a side length times the side length, and they are the same).
[tex]\sqrt{141.666666666667}[/tex]
= 11.90238071
So, the side length of the cube is 11.9 cm.
Hope this helps!
An annual salary is $45000. His tax free allowances total $13000. He has to pay a tax of 20% on his taxable income.
The tax payable is?
Answer:
6400
Step-by-step explanation:
Taxable amount=45000-13000=32000
tax=32000*20/100
=6400
The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each
person showered for an average of 480 minutes and used an average 72 liters of shower water (over the
entire month). Water costs 0.20 dollars per liter.
How much did Trevor's family pay per minute on shower water?
Answer:
0.03
Step-by-step explanation:
Khan
The amount of money the Trevor's family pay per minute on shower water is $0.03
How to find cost of water per minuteTotal number of people in Trevor's house = 6Number of bathrooms = 3Time each person spent bathing = 480 minutesWater used by each person per month = 72 liters Cost of water per liter = $0.20Cost of water used per minute = Water used by each person per month / Time each person spent bathing × Cost of water per liter
= 72 / 480 × 0.20
= 0.15 × 0.20
= $0.03
Learn more about cost:
https://brainly.com/question/19104371
5/8 of the staff are male. 5/12 of the staff works part time at the aquarium.What fraction of the staff is female?
Answer:
3/8
Step-by-step explanation:
If 5/8 of the staff is male, then 8/8 is the total number of staff.
8/8 - 5/8 = 3/8
3/8 of the staff is female.
Hope this has helped. If the question has more to it, then please specify.
Explain how to solve the equation |2x-3| = x^2 graphically. Using a graphing calculator to find all real number solutions to the equation.
Answer:
x = -3 , x = 1
Step-by-step explanation:
Hello,
you need to draw the graph of the two functions and then find the intersection points.
please see below
So the solution is the two points A and B
(-3,9) and (1,1)
Hope this helps
What is the simplified form of -9x+3x
Answer:
-6x
Step-by-step explanation:
you can combine numbers with the same coefficient like any other number
Answer:
-6x
Step-by-step explanation:
It would be doing the same thing as -9 + 3, but without a variable.
Molly was curious if quadrilaterals ABCDABCDA, B, C, D and EFGHEFGHE, F, G, H were congruent, so she tried to map one figure onto the other using transformations
Answer:
The answer is below
Step-by-step explanation:
A transformation of a point is the movement of an point from an initial position to a new position. If an object is transformed, all the point of an object is transformed. Two figures are said to be congruent if they have the same shape and the measure of each of their sides are the same.
An object is congruent to another object if the object can be mapped to the other object when transformed.
Answer:
The answer is c
Step-by-step explanation:
It is the correct solution because you are able to map circle m onto m
Esmerelda rents a car from a company that rents cars by the hour. She has to pay an initial fee of $52 and then they charge her $8 per hour. She has $144 Available to spend on a car rental. What is the greatest number of hours for which she can rent the car?
Answer:
11 hours
Step-by-step explanation:
First, you have to subtract 144-52= 92. After the initial fee, she has 92 dollars to spend on the car. Then, you divide 92 by 8 because it costs 8 dollars an hour. And this gets you 11.5 which you would have round down because she can't pay for the extra hour. She does not have enough money.