Find the point of intersection for the pair of linear equations.
x +y = 0.3
y=3x + 16.7

Consecutive terms in this sequence are separated by a constant c, so if the 4th term is 15, then the next terms would be

5th: 15 + c

6th: (15 + c) + c = 15 + 2c

7th: (15 + 2c) + c = 15 + 3c

and so on. More generally, since any given number in the sequence depends on the number that came before it, we can write the n-th term in terms of the 4th term,

n-th: 15 + (n - 4) c

Then the 9th term in the sequence is

15 + (9 - 4) c = 35

and solving for c gives

15 + 5c = 35   ==>   5c = 20   ==>   c = 4

Then the 15th term would be

15 + (15 - 4)×4 = 15 + 11×4 = 15 + 44 = 59

Answer:

[tex]A)58[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment]\\We\ are\ given:\\GH\ is\ the\ diameter\ of\ the\ circle.\\ Also,\\ GM=3\ units\ and\ MH=7\ units\\From\ the\ figure,\\GH\ subtends\ an\ angle\ at\ two\ points\ specifically\ M\ and\ N\ on\ the\\ arc.\\Now,\\We\ know\ that,\\'The\ Angle\ subtended\ by\ the\ diameter\ anywhere\ over\ the\ arc\ of\ the\\ circle\ is\ always\ 90\ degrees'.\\Hence,\\\angle GMH\ = \angle GNH=90\\[/tex]

[tex]Also,\\Pythagoras\ Theorem\ states\ that: 'In\ a\ right\ triangle,\ the\ sum\ of\ squares\\ \ of\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\ hypotenuse'\\In\ \triangle GMH,\\Since\ \angle GMH=90,\\GM^2+MH^2=GH^2[Through\ Pythagoras\ Theorem]\\Hence,\\Substituting\ GM=3,\ MH=7:\\3^2+7^2=GH^2\\GH^2=9+49=58[/tex]

[tex]Similarly,\\In\ \triangle GNH,\\Since\ \angle GNH=90,\\GN^2+NH^2=GH^2\\Hence,\\Substituting\ GN=x\ and\ NH=y:\\x^2+y^2=GH^2\\x^2+y^2=58[/tex]

Step-by-step explanation:

I hope it helped and it is easy to understand i hope it was helpful

1)4y-2=8-2y+4y

=4y-2y+4y=8-2

2y +4y=8-2

6y+6

12

4,6,8,10 are in A.P

[tex]\\ \rm\Rrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+(20-1)2[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+19(2)[/tex]

[tex]\\ \rm\Rrightarrow a_20=4+38[/tex]

[tex]\\ \rm\Rrightarrow a_20=42[/tex]

Answer:

the next one is .857 I hope this helps you :)

If sides are

[tex]\\ \sf\longmapsto Perimeter=Sum\:of\:sides[/tex]

[tex]\\ \sf\longmapsto Perimeter=9+4.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=13.5+12[/tex]

[tex]\\ \sf\longmapsto Perimeter=25.5cm[/tex]

[tex] \large\begin{gathered} {\underline{\boxed{ \rm {\purple{Perimeter\:_{(Triangle) \: \large= \large\:Sum \: of \: all \: sides}}}}}}\end{gathered}[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:9 \: cm \: + \: 4.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:13.5 \: cm \: + \: 12 \: cm[/tex]

[tex]\large\bf{\red{ \longrightarrow}} \tt \: \:25.5 \: cm[/tex]

Hence , the perimeter of triangle is 25.5 cm

Answer:

statistics are when data analyzed in order to make decisions about the population behind the data.

The correct answer to the question is Statistics (Option D).

What is statistics?

Statistics is a field of study in mathematics which deals with raw data. It is a tool which refines the data to produce meaningful results and a pathway to better understanding of it.

Some examples of raw data can be population sample which loves to see a particular TV show or a sample of students getting so and so marks in Math test.

Data is analyzed mainly by three different measure of central tendency that is mean, median and mode.

Therefore, Statistics the correct answer.

To know more about statistics refer:https://brainly.com/question/10734660

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Answer:

Step-by-step explanation:

Explanation:

The

average rate of change

of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the

secant line

connecting the 2 points.

To calculate the average rate of change between the 2 points use.

∣

∣

∣

∣

∣

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

g

(

b

)

−

g

(

a

)

b

−

a

a

a

∣

∣

∣

−−−−−−−−−−−−−−−

g

(

6

)

=

6

2

−

6

+

3

=

33

and

g

(

4

)

=

4

2

−

4

+

3

=

15

Thus the average rate of change between (4 ,15) and (6 ,33) is

33

−

15

6

−

4

=

18

2

=

9

This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9

Answer:

Use identities:

Simplify:

Identity used:-

[tex]\boxed{\sf (a+b)^2=a^2+b^2+2ab}[/tex]

Now

[tex]\\ \sf\longmapsto (x+(3+5i))^2[/tex]

[tex]\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+9+30i-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i+9-25[/tex]

[tex]\\ \sf\longmapsto x^2+6x+10xi+30i-16[/tex]

B(-6,9)is the answer

have a great dayyyy.

Answer:

Point of intersection:

[tex]3x - y = 8 - - - (a) \\ x + 2y = 5 - - - (b) [/tex]

2 × equation(b) + equation (a):

[tex]7x = 21 \\ x = 3 \\ \\ y = 3x - 8 \\ y = 1[/tex]

Point of intersection = (3, 1)

Perpendicular line:

[tex]3x + 6y - 11 = 0 \\ 6y = - 3x + 11 \\ y = - \frac{1}{2} x + \frac{11}{6} [/tex]

General equation of line:

[tex]y = mx + c \\ 1 = (2 \times 3) + c \\ c = - 5[/tex]

Value of m:

[tex]m \times m {}^{i} = - 1 \\ m \times - \frac{1}{2} = - 1 \\ m = 2[/tex]

If she wants to earn $91, you would need to divide $91 by 13 to determine the number of hours she needs to work:

$91 /13 = 7 hours

She would have to work 7 hours.

Answer:

Step-by-step explanation:

The population is all one year-old boys.

This question uses the concepts of sample and populations.

After the explanation of these concepts, we have that:

Sampling:

I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents whether they are Buffalo Bills fans, and expand this to the entire population of New York State residents, which is the population of the study.

In this question:

Study of mean weight of one-year old boys, sample of 360 randomly chosen one year-old boys. Thus, the population of interest is given by all one year-old boys.

For another example, you can check https://brainly.com/question/16976209

When an adult is 189cm tall, his predicted weight in kg is 84.89kg

We have y = -106+1.01x. This is the regression equation

we are to find y(weight) given that x (height) is 189 cm

y = -106 + 1.01x

y = -106+1.01*189

y = -106+190.89

y = 84.89 kg

In conclusion, when height is 189cm, weight is 84.89 kg

Here is a similar question https://brainly.com/question/16105209?referrer=searchResults.

Answer:

Step-by-step explanation:

please mark this answer as brainlist

Answer:

b=7

Step-by-step explanation:

5a(2b – 3a) = 40

Let a=4

5*4(2b-3*4) = 40

20(2b-12) = 40

Divide each side by 20

20/20 (2b-12) = 40/20

2b-12 =2

Add 12 to each side

2b-12+12 = 2+12

2b = 14

Divide by 2

2b/2 = 14/2

b = 7

Answer:

y = 3(x-1)^2 -3

Step-by-step explanation:

y = 3(x+5)^2 - 2

vertex: (-5, -2)

1 unit down :

-2 - 1 = -3

6 units to the right:

3(x+5-6)^2 -2

3(x-1)^2 - 2

make what's in the parenthesis equal to 0:

(x-1)^2 = 0

x = 1

or

-5 + 6 = 1

new vertex : (1, -3)

equation : y = 3(x-1)^2 -3

Translation involves shifting of points from one position to another. The equation of the new parabola is: [tex]y = 3(x - 1)^2 - 3[/tex]

Given that:

[tex]y = 3(x + 5)^2 - 2[/tex]

[tex](h,k) = (-5,-2)[/tex] --- vertex

The general equation of a parabola is:

[tex]y = a(x - h)^2 + k[/tex]

By comparison:

[tex]a = 3\\ h = -5 \\ k= -2[/tex]

When the vertex is shifted 1 unit down, the rule is:

[tex](x,y) \to (x,y-1)[/tex]

So, we have:

[tex](x,y) \to (-5,-2-1)[/tex]

[tex](x,y) \to (-5,-3)[/tex]

When the vertex is shifted 6 unit right, the rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex](h,k) \to (-5 + 6,-3)[/tex]

[tex](h,k) \to (1,-3)[/tex]

This means that:

[tex]h = 1\\ k =-3[/tex]

Recall that:

[tex]a =3[/tex]

Substitute these values in:

[tex]y = a(x - h)^2 + k[/tex]

[tex]y = 3(x - 1)^2 - 3[/tex]

Hence, the equation of the new parabola is: [tex]y = 3(x - 1)^2 - 3[/tex]

Read more about translations at:

https://brainly.com/question/12463306

Answer:

8

Step-by-step explanation:

40 grouped into 5 = 40/5 = 8

this is a random sample because the instructor randomly selected the classes that she wants to use for her interview.

The  sampling method used is random sample.

To reach substantial inferences from your outcomes, you need to painstakingly conclude how you will choose an example that is illustrative of the gathering in general. A sampling method is the name for this. You can use one of two primary types of sampling methods in your research:

By using random selection in probability sampling, you can draw solid statistical inferences about the entire group.

You can easily collect data with non-probability sampling, which uses non-random selection based on convenience or other criteria.

Given English instructor randomly select 3 classes,

and  then interviews all students in those three classes to determine the average number,

Every member of the population has the same chance of being chosen in a straightforward random sample. The entire population should be included in your sampling frame.

You can use techniques that are entirely based on chance or tools like random number generators to carry out this kind of sampling.

The method used is Random sample method.

Hence, Random sample sampling is used.

Learn more about sampling methods;

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ans: 257,256.59

if it was sold for $3.99

it would have been 86,047 × $3.99 = 343,303.59 and it was sold for $1 instead so automatically it's $86,047

therefore

343, 303.59

-86, 047 which is equal to a loss of $257, 256.59

Answer:

it’s to the left 5 units, down three, so B because the translation maps abc to a’b’c’

Step-by-step explanation:

Answer:

-5/4x -15/4 = y

Step-by-step explanation:

y = -3 - 4/5x

To find the inverse, exchange x and y

x = -3 - 4/5 y

Solve for y

Add 3 to each side

x+3 = -4/5y

Multiply each side by -5/4

-5/4(x+3) = -5/4 * -4/5(y)

-5/4x -15/4 = y

Answer:

[tex]6\sqrt{2}[/tex]

Step-by-step explanation:

Answer:

8.49 or 6√2

Step-by-step explanation:

Use the distance formula to calculate the distance between the two points. The distance formula is √(x1-x2)^2+(y1-y2)^2 plug in (2,-3) and (8,-9) to get the solution of √72 or 8.49

Answer:

1/4

Step-by-step explanation:

since 7 tonnes can be shredded per day you need o divide the amount you have by 7

so 7/4 /7 = 1/4

so it will  take 1/4 days

Answer:

[tex] \frac{1}{4} [/tex]

Step-by-step explanation:

Make a ratio

7 : 1

7/4:x

Cross multiple

7x = 7/4

Then make x a subject formula

x =1/4

9514 1404 393

Answer:

  c.  $0.08

  fee = $50

Step-by-step explanation:

We are given two ordered pairs:

  (minutes, charges) = (150, 62) and (175, 64)

The slope of the graph of charges is ...

  m = (y2 -y1)/(x2 -x1) = (64 -62)/(175 -150) = 2/25 = 0.08

The charge for each minute is $0.08.

__

The y-intercept of the graph can be found from ...

  b = y -mx

  b = 62 -150(0.08) = 62 -12 = 50

The fixed monthly fee is $50.