Which is true about the functional relationship shown in the graph

Answer:

x = 0.529 and y = 3.882

Step-by-step explanation:

The given equations are :

[tex]y=\dfrac{5}{3}x+3\ ......(1)\\\\y=\dfrc{1}{3}x-3\ .......(2)[/tex]

We need to solve the equations by graphing.

The attached figure shows the solution of the given equations. We can see that, the intersecting points are :

x = 0.529 and y = 3.882

Hence, this is the required solution.

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

[tex]P(A) = \frac{4}{52} = \frac{1}{13}[/tex]

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

[tex]P(B|A) = \frac{12}{51}[/tex]

What is the probability of choosing a king and then, without replacement, a face card?

[tex]P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181[/tex]

0.0181 probability of choosing a king and then, without replacement, a face card.

Answer:

Shorter side: 210

Longer side: 420

area: 88200

Step-by-step explanation:

work below

If you haven't learned derivatives yet just use the vertex formula

Answer:

a) 12989 Ib

b) 2756.3 Ib

Step-by-step explanation:

Density of milk = 64.6 Ib/ft^3

Diameter of tank = 8 ft

radius = 4 ft

a) Calculate force exerted by milk on one end of tank when Tank is full

pressure on strip ≈ 64.6 ( 4 - yi ) i.e. surface of milk = 4

Total force = 129.2 *  [tex]\int\limits^4_4 {4-y} \sqrt{16-y^2} \, dx[/tex]

∴Force exerted  = 129.2 * Area of semicircle( radius =4 ) * radius

                        = 129.2* 8π * 4 ≈  12989 Ib

b) Force exerted when Tank is half full

pressure on strip ≈ 64.6 ( 0 - yi )  i.e. surface of milk = 0

Total force = 129.2 * [tex]\int\limits^0_4 {0-y} \sqrt{16-y^2} \, dx[/tex]

∴ Force exerted ≈ 2756.3 Ib

Answer:

Should be A

Step-by-step explanation:

The x cord increase by 5 for all points.

Y cord decrease by 3 for all points

Answer:

It would be 7p, 4p + 3p, and 5p + 2p

Step-by-step explanation:

Overall there is 7 p's

4 + 3 = 7 and 5 + 2 = 7

Unless there is more information, those are the answers.

Answer:

See in bold

1 x 1 = 1

1 x 2 = 2

1 x 3 = 2

1 x 4 = 4

1 x 5 = 5

2 x 1  = 2

2 x 2 = 4

2 x 3 = 6

2 x 4 = 8

2 x 5 = 10

3 x 1 = 3

3 x 2 = 6

3 x 3 = 9

3 x 4 = 12     Total 70

3 x 5 = 15

4 x 1 = 4

4 x 2 = 8

4 x 3 = 12

4 x 4 = 16   total 125

4 x 5 = 20

5 x 1 = 5

5 x 2  = 10

5 x 3  = 15  total 175

5 x 4 = 20

5 x 5 = 25  total 220

Total = 220

Algorithm Finding 142  =  220  - 78  = 142

-78 = 6 x 13 therefore 142six = 13

Algarithm Finding X 230six = X diagonal

X diagonal list on table shows;

1 x 1 = 1

2 x2 = 4

3 x 3 = 9

4 x 4 = 16

5 x 5 = 25

6 x 6 = 36

Total = 91

230/91 = 2.52747253  if diagonal algorithm

or 230 taken from the last 5 x 5 algorithm total = 220

1 x 6 = 6   220 + 6 = 226   x = 4+  then 1 x 6

2 x 6 = 12  = 18    220 + 18 = 38  x = 8 - then 2 x 6

as X230 = 8- 230 = 2 x 6

or X230 = 4+ 230 = 1 x 6  

Answer:

5/2 improper, 2 1/2 proper

Answer:

5.9

Answer directly from Khan

Answer:

5t + 3 < 30

Step-by-step explanation:

Five times a number t is 5t.

Three more just means add 3 more to your first term (in this case it's 5t).

Less than thirty means not less than or equal to 30 but just less then 30.

Answer:

4x + 17 + x + 23 = 180 ( being straight line )

5x + 40 = 180

5x = 180 - 40

5x = 140

X = 140 / 5

X = 28 (answer)

Answer:

157.48cm

Step-by-step explanation:

5feet 2inches

=(5×12) +2in.

=62in. [ 1ft = 12in.]

= 12in. = 2.54cm

=62in. = (2.54 × 62)

=157.48cm

Answer:

Mean = 18 and Mode = 10

Step-by-step explanation:

The given data is :

10,10, 18, 24,28

We can find the mean of the data,

[tex]Mean=\dfrac{\text{sum of observations}}{\text{total no of observations}}[/tex]

[tex]M=\dfrac{10+10+18+24+28}{5}\\\\=18[/tex]

Mode is the repetition of data.

Here, 10 repeats 2 times.

So, the mode is 10.

Answer:

14

Step-by-step explanation:

84/6

Answer:

The dog has the name Sammy.

Step-by-step explanation:

A cat and dog cannot be green, therefore the bird is Fluffly.

Noodles must be the cat since it's younger than the bird and the dog.

The only one that doesn't have an explanation is the dog, therefore the dog must be named Sammy.

Answer:

-30+10b=-22

32-22=10b

10b=10

-32+10=-22

hope it helps

r = 44

12 = r -(34-2)

12 = r -(32)

12 = r-32

r = 32+12

r = 44

Answer:

No solution is possible since you failed to provide the necessary information

Step-by-step explanation:

Answer:

85 cm2

Step-by-step explanation:

Separate the figure into sections and add the product

Answer:

a. Photographer A by $10

b. Photographer B by $25

Answer:

Pretty sure it's H

Step-by-step explanation:

The two parabolas intersect at (-1,0) and (0,-1)

Answer:

1) Sam only interviewed five people out of his entire ELA class, so he doesn't have a very wide demographic to study

2) All of these people were Sam's friends, so they might all have similar interests or only enjoy certain things, and that doesn't allow for a wide range of data collection

Explanation:

The commutative law of multiplication says that A*B = B*A, for any real numbers A,B. The order of multiplication doesn't matter.

That's why 15*3 is the same as 3*15.

This is because having 15 groups of 3 leads to 3+3+3+...+3 = 45 (imagine adding 15 copies of '3' together), and having 3 groups of 15 gets us 15+15+15 = 45 as well.

Or you could picture a rectangular table that has 15 rows and 3 columns. It has 45 inner cells. If the table had 3 rows and 15 columns, then we'd still have 45 inner cells.  

Answer:

arc KLJ = 205°

Step-by-step explanation:

Recall: measure of arc equals measure of central angle

Therefore:

measure of arc LJ = 56°

measure of arc KL = 149°

arc LJ + arc KL = arc KLJ

Substitute

56° + 149° = arc KLJ

205 = arc KLJ

arc KLJ = 205°