Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6

Answer:

(4,2)

Step-by-step explanation:

i multiplied the S values by the scale factor to get the S dash

The coordinates of the point S' after dilation is S' ( 4 , 2 )

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the triangle be represented as ΔSTU

Now , the coordinates of the triangle are

S ( 2 , 1 ) , T ( 4 , 5 ) and U ( 4 , 1 )

Now , the dilation scale factor is k = 2

So , the coordinates of the triangle after the dilation is

S' ( 4 , 2 ) , T' ( 8 , 10 ) and U' ( 8 , 2 )

Hence , the coordinate of S' is S' ( 4 , 2 )

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Answer:

The answer is D, h=3Vπr2. The height of the cone is 6 cm

Step-by-step explanation:

The Height of the Cone is 6 cm.

The shape's volume is equal to the product of its area and height. = Height x Base Area = Volume.

The formula for the volume of a cone is V=1/3hπr².

Given:

Volume of Cone= 1/3 πr²h

where r is the radius and h is the height.

Now, if V= 32π cm³ and r= 4 cm

Then, Volume of Cone = 1/3 πr²h

                               32π = 1/3 π(4)²h

                               32 = 1/3  (4)²h      

                                32= 1/3 (16)h

                                h/3 = 2

                               h= 6cm

Hence, the height is 6 cm.

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Answer:

C. Geometric, common ratio = 3

Step-by-step explanation:

Got it right

Answer:

C

Step-by-step explanation:

Answer:

Graph part: Find where it says each letter on the grph and put in the following numbers:

2 -140

4 -280

9 -630

To plot your points:

1 point: find 2 on the X axis and find 140 on the Y axis, plot a point there. For the next 2 points, do the same thing. Find 4 on the X, go up to 280 on the Y.

Step-by-step explanation:

The question says that there are 70 people in a group. Its then asks who many people would be in 2, 4, and 9 groups. Just muliply to get each answer and put it in the graph.

Answer:

light blue D-E

Step-by-step explanation:

it is a 180 and leads to F if you continue with the line

yur welcome

Answer:

$11.33

Step-by-step explanation:

Keisha will own 307 shares after the split. and the amount of check is 11 dollar.

Given that, NoteQuest Inc. instituted a 3-for-2 split. At that time Keisha owned 205 shares of that stock. The price per share was

$33.99.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Here, 3+ 2 = 5

Now, let x be the number of shares post split

Then;

3/2 = x/205

x = 3/2 (205)

x = 615/2 = 307.5

Therefore, Keisha will own 307 shares after the split.

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Answer:

Distance=y•x

Step-by-step explanation:

You need to multiply the time by the distance to get the total distance e oer hour

Answer:

b car lone

Step-by-step explanation:

hope it helps

Answer:

80 percent

Step-by-step explanation:

Dvide 300 by 240 which gives you 80 percent the amount of students that atended.

Answer:

80%

Step-by-step explanation:

240/300=.8

.8=80%

Answer: 11

Step-by-step explanation:just trust me

The numerical length of LM will be 11.

It is given that point M is on line segment overline LN . Also , MN = 3x , LN = 4x + 9 , and LM = 2x + 7.

We have to determine that what will be the numerical length of LM ?

What will be the value of x in equation ; 3x + 2 = 8 ?

The value of x will be 2.

From the question we can get that ,

MN  + LM = LN

2x + 7 + 3x = 4x + 9

5x + 7 = 4x + 9

x = 2

Now , we can use the value of x to find out length of LM ;

∵ LM = 2x + 7  

⇒ LM = 2 × 2 + 7

⇒ LM = 11.

Thus , the numerical length of LM will be 11.

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Answer:

slope: 3    y-intercept: 9

Step-by-step explanation: 19-10 is 9, and 6-3 is 3 9/3 is 3.

28-19 equals 9. 19-10 is 9, so 9 fills out that blank beside 10.

Answer:

slope is 3 and in the blank goes 1. and y intercepts line at y=1

Answer:

2/3

24/36

32/48

are all equivalent to 8/12

Answer:

32/48

Step-by-step explanation:

32 divided by 4 is 8

48 divided by 4 is 12

Answer:

Answer:

m⊥ = –½

Step-by-step explanation:

First, put the given equation in slope-intercept form:

2x – y = –6

–y = –2x – 6

y = 2x + 6

The slope of the line perpendicular to the line given will be the negative reciprocal of the given line's slope, so:

If m = 2, then m⊥ = its negative reciprocal:

m · –1

2 · –1

–2  →  –½

So, the negative reciprocal of 2 is –½.

Answer:

its ur dad

Step-by-step explanation:

Answer:

63 hope this helped

Step-by-step explanation:

is the answer 4 ur question

Answer:

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Step-by-step explanation:

The given coordinates of the triangle JKL are;

J(3, 0), K(4, 3), L(6, 0)

The rotation of the point of a preimage (x, y) by 90° clockwise gives the point of the image after rotation as (y, -x)

Therefore;

The rotation of point J(3, 0) by 90° clockwise gives J'(0, -3)

The rotation of point K(4, 3) by 90° clockwise gives K'(3, -4)

The rotation of point L(6, 0) by 90° clockwise gives J'(6, 0)

The new coordinates of the triangle J'K'L' are J'(0, -3), K'(3, -4), and J'(6, 0)

Answer:

6+5=11

Step-by-step explanation:

6*5=30

Lowest numbers possible

Answer:

4

Step-by-step explanation:

I took it on the test its 4

Answer:

a

  P(X \le 250 ) =  0.7564 [/tex]  ,  [tex]P(X <  250 )  =  0.7564 [/tex]   ,

    [tex]P(X <  300 )  =  0.09922 [/tex]

b

[tex]P(100 <  X  < 250 ) =0.644 [/tex]

c

 [tex]   x  = 192.1   [/tex]

Step-by-step explanation:

From the question we are told that

   The value for [tex]\alpha  =  2.6[/tex]

    The value for [tex]\beta = 220[/tex]

Generally the  Weibull distribution function is mathematically represented as

      [tex]F( x , \alpha ,  \beta ) =  \left \{  0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \  x < 0} \atop { 1- e^{-(\frac{x}{\beta } )^{\alpha } }}\ \ \ \ \ \ x \ge 0} \right[/tex]

Generally the probability that a specimen's lifetime is at most 250 is mathematically represented as

      [tex]P(X \le  250 ) =  F(250, 2.7 , 220 )[/tex]

      [tex]P(X \le 250 )=1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]

      [tex]P(X \le 250 ) =  1 - 0.2436[/tex]

      [tex]P(X \le 250 ) =  0.7564 [/tex]

Generally the probability that a specimen's lifetime is less than 250

      [tex]P(X <  250 ) =  F(250, 2.7 , 220 )[/tex]

      [texP(X <  250 ) =1 - e^{- (\frac{250}{220} )^{2.7}}[/tex]

      [tex]P(X <  250 )  =  1 - 0.2436[/tex]

      [tex]P(X <  250 )  =  0.7564 [/tex]    

Generally the probability that a specimen's lifetime is more than 300

     [tex]P(X >  300 ) = 1- p(X \le 300 )[/tex]

      [tex]P(X >  300 ) = 1-  F(300, 2.7 , 220 )[/tex]

      [texP(X <  300) =1- [1 - e^{- (\frac{300}{220} )^{2.7}}][/tex]

      [tex]P(X <  300 )  =  0.09922 [/tex]

Generally the probability that a specimen's lifetime is between 100 and 250 is

     [tex]P(100 <  X  < 250 ) =  P(X < 250) - P(X < 100)[/tex]

=>  [tex]P(100 <  X  < 250 ) =F(250 , 2.7 , 220 ) - F(100 , 2.7 , 220 ) [/tex]

=>  [tex]P(100 <  X  < 250 ) =(1 - e^{-(\frac{250}{220})^{2.7}}) - (1 - e^{-(\frac{100}{220})^{2.7}}) [/tex]

=>  [tex]P(100 <  X  < 250 ) = (1 - 0.244 ) - (1- 0.888)[/tex]

=>  [tex]P(100 <  X  < 250 ) =0.644 [/tex]

Generally the value  such that exactly 50% of all specimens

    [tex]P(X > x) = 1-P(X <  x) = 0.50[/tex]

=>  [tex]P(X > x) = 1- (1 - e^{- (\frac{x}{220}) ^{2.7}}) = 0.50[/tex]

=>  [tex] P(X> x ) = e^(- \frac{x}{20})^{2.7}  = 0.50 [/tex]

=>  [tex] P(X> x ) = (- \frac{x}{20})^{2.7}  = ln0.50 [/tex]

=>   [tex] P(X> x ) =  \frac{x}{20}  =[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]

=>   [tex]   x  = 220[ -ln0.50 ] ^{frac{1}{2.7}}[/tex]

=>   [tex]   x  = 192.1   [/tex]

Answer:

8 teams is answer

Step-by-step explanation:

Answer: 11

Step-by-step explanation:

Answer:

The LCM for 4 and 8 is 8. Add both numerator and rewrite it in a single form. By using LCM method, 7/8 is the equivalent fraction by adding 3/4 and 1/8.

Hope This Helps!!! Have a great day!

<3<3

Answer:

[tex]\frac{7}{8}[/tex]  or [tex]\mathrm{Decimal:\ }\:0.875[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}+\frac{1}{8}[/tex]

lcm of 4 and 8 is 8

adjust the fraction base on the lcm

[tex]=\frac{6}{8}+\frac{1}{8}[/tex]

[tex]\mathrm{Apply\:the\:fraction\:rule}:[/tex][tex]\frac{a}{c}+\frac{b}{c}=\frac{a+b}{c}[/tex]

[tex]\mathrm{Add\:the\:numbers:}\:6+1=7[/tex]

[tex]=\frac{7}{8}[/tex]

Answer:

Mean = 125.136

Median = 110

Mode = 180

Step-by-step explanation:

Given the data:

75 95 180 136 89 75 110 180 100 136 180 95 180 136 75 100 110 180 180 136 75 90

Frequency distribution:

Value(X) ___freq (F) ____cumm frequency

85 _________ 4 _______ 4

89 _________ 1 _______5

90 __________1 _______6

95 __________2 ______ 8

100 _________ 2 ______10

110 __________2______ 12

136 __________4 _____ 16

180 __________6______22

2) Using the frequency distribution :

Mean = Σfx / Σf

[(85*4) + (89*1) + (90*1) + (95*2) + (100*2) + (110*2) + (136*4) + (180*6)]/ 10

= 2753 / 22

= $125.136

Median of grouped data :

Frequency + 1 / 2 = 23/2 = 11.5 th term

The median value = $110

Mode of the data:

Most frequently occurring = 180 (frequency of 6)

The mean of the frequency distribution is $125.136, the median of the frequency distribution is $110, and the mode of the frequency distribution is $180.

Given :

a) The frequency distribution is given below:

Prices              Frequency       Cumulative Frequency

85                           4                                 4

89                            1                                 5

90                            1                                  6

95                            2                                  8

100                           2                                 10

110                            2                                  12

136                            4                                 16

180                            6                                 22

b) The mean is calculated as:

[tex]\rm Mean = \dfrac{85\times4 + 89\times1 +90\times1 +95\times 2+100\times2 +110\times2 +136\times4 +180\times6 }{10}[/tex]

Simplify the above expression.

Mean = $125.136

c) The median of the frequency distribution is calculated as:

[tex]\rm Term= Frequency + \dfrac{1}{2}=11.5[/tex]

So, the median is $110.

The mode of the frequency distribution is $180.

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Answer: 21

Step-by-step explanation:

Given: Number of mango guava and sapota are supplied 108,84 and 60 respectively.

Since, 108 = 2 x 2 x 3 x 3 x 3

84 =  2 x 2 x 3 x 7

60 = 2 x 2 x 3 x 5

HCF(108,84,60) = 2 x 2 x 3 [HCF=Highest common factors]

= 12

Greatest number of plants in each row = 12

Number of rows for mango = [tex]\dfrac{108}{12}=9[/tex]

Number of rows for guava = [tex]\dfrac{84}{12}=7[/tex]

Number of rows for sapota = [tex]\dfrac{60}{12}=5[/tex]

Total rows = 9+7+5= 21

Hence, the minimum number of rows in which they can be planted if in each row same numbers of saplings of the same type are to be planted​ = 21

Answer:

One answer is 100 yards long and 60 yards wide.

Step-by-step explanation:

The area is bigger, but answers vary.