State the independent variable and the dependent variable in the linear relationship. Then find the rate of change for the situation. The cost of dinner is $42 for three people and $98 for seven people

Answer:

0.8

Step-by-step explanation:

25.4-23.8=1.6

25.4+1.6=27

For two cycles, the increase is 1.6. So, divide that by two to get 0.8. Hope this helps!

Answer:

0.8

Step-by-step explanation:

Each increase is 1.6 apart. Because they're going by two cycles just divide that by two and you get 0.8

Answer:

0.9962

Step-by-step explanation:

The objective of this question is to determine the proportion of average city temperature that is lower than that of Singapore.

Suppose X is a random variable that follows a normal distribution:

Then;

[tex]X \sim N ( \mu = 20.66, \sigma = 2)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{26 - 20.66}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < \dfrac{5.34}{2} \bigg)[/tex]

[tex]P(X< 26) = P \bigg ( Z < 2.67\bigg)[/tex]

From the z tables;

P(X< 26) = 0.9962

Thus, there is 0.9962 proportion of average city temperature are lower than that of Singapore.

Answer:

0.9962

Step-by-step explanation:

A set of average city temperatures in May are normally distributed with a mean of 20.66 degrees and a standard deviation of 2 degrees. The average temperature of Singapore is 26 degrees

What proportion of average city temperatures are lower than that of Singapore?

Solution:

The z score shows the number of standard deviations by which the raw score is above or below the mean. If the raw score is above the mean then the z score is positive but if the raw score is less than the mean then the raw score is negative. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]

Given that μ = 20.66, σ = $2

For the average temperature of Singapore of 26°, the z score is:

[tex]z=\frac{x-\mu}{\sigma}=\frac{26-20.66}{2} =2.67[/tex]

From the normal distribution table, P(x < 26) = P(z < 2.67) = 0.9962

Answer:   {(x + 2), (x - 1), (x - 3)}

Step-by-step explanation:

Presented symbolically, we have:

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

Synthetic division is very useful for determining roots of polynomials.  Once we have roots, we can easily write the corresponding factors.  

Write out possible factors of 6:  {±1, ±2, ±3, ±6}

Let's determine whether or not -2 is a root.  Set up synthetic division as follows:

-2   /   1   -2   -5   6

              -2     8   -6

     -----------------------

        1     -4      3    0

since the remainder is zero, we know for sure that -2 is a root and (x + 2) is a factor of the given polynomial.  The coefficients of the product of the remaining two factors are {1, -4, 3}.  This trinomial factors easily into {(x -1), (x - 3)}.

Thus, the three factors of the given polynomial are {(x + 2), (x - 1), (x - 3)}

Answer:

d = - 1/5

Step-by-step explanation:

slope form: m= y2-y1/x2-x1

m= -5-(-7)/-6-4

m= 2/-10

m= - 1/5

Answer:

Even

Step-by-step explanation:

Answer:

Step-by-step explanation:

True!!

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]BA = BC = 12[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]AC = BA + BC[/tex]

[tex]AC = 12 + 12[/tex]

[tex]AC = 24[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

she me he sid sud iebe Howie

Answer:

There are 4 possible scenarios where given relation could not be a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Step-by-step explanation:

From Function Theory, we remember that a relation is not a function when at least one element from domain (x-coordinate) is related to one or more elements from range (y-coordinate). Hence, there are four possibilities of making the relation not a function:

i)  [tex](-1, 4), (0,4), (2,5), (3,-6), (-1, 7)[/tex]

ii) [tex](-1, 4), (0,4), (2,5), (3,-6), (0, 7)[/tex]

iii) [tex](-1, 4), (0,4), (2,5), (3,-6), (2, 7)[/tex]

iv) [tex](-1, 4), (0,4), (2,5), (3,-6), (3, 7)[/tex]

Answer:

$119, $7.

Step-by-step explanation:

First, we need to find the unit rate of pay, in dollars.

Divide $35 by 5 to get $7 per hour.

Now, we multiply the unit rate of pay by 17 to find out how much money is made in the 17 hours that were worked.

By doing this, we get the answer: $119.

Hope this helps! Let me know.

Answer:

 17 rides

Step-by-step explanation:

30-8=22

22 divided by 1.25=17.6 and then you cant go on without 1.25 so 17

Answer:

-38285

Step-by-step explanation:

this is what my calculator told me

sorry but ask someone else

I don´t know what slopes are

so sorry

Answer:

x = -4

Step-by-step explanation:

Answer: -4 is correct

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

A metal block has a mass = 60kg

volume = 0.5 meter cube

Solution

Density=masala volume

Density=60/0.5

Density of the metal=120kg/m^3

Answer:

99<x<315

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

edg. 2021

Answer:

Zero

Step-by-step explanation:

it is to correct answer because I did this before and one of my classes also subscribe to my channel bye

Answer:

1/5

Step-by-step explanation:

A metre is 100cm, thus

20cm/100cm= 1/5

Answer:

z=0

Step-by-step explanation:

if the equation was 1/4(3z)7=-1z

Answer:

W=5 w=8

Step-by-step explanation:

i think true because 0,4 on there is correct and so is 2,0

Answer:

Step-by-step explanation:

let y be the opposite angle,

6x-11 + y = 180( sum of opposite angles)

y=180+11-6x

y=191 - 6x

thus, 81+x+5+191-6x=180(angle sum property)

-5x=-97

Answer:

First, collect the like terms

36x+34x=180+2-2

Solve,

74x=180

x=180/74

2.43243243243

When you round it, it will be approximately,

x≅2.43

Step-by-step explanation:

I hope it helped please give me brainliest

Answer:

[tex]x = \frac{18}{7} [/tex]

Answer:

200

Step-by-step explanation:

100/250= 0.4

0.4* 200= 80

Answer:

g(4x) = 192x^3

Step-by-step explanation:

For this problem, f(x) is irrelevant since we are simply are dealing with g(x).  We will simply replace the value of x in g(x) with 4x.  So let's do that.

g(x) = 3x^3

g(4x) = 3(4x)^3

g(4x) = 3(4^3)(x^3)

g(4x) = 3(64)(x^3)

g(4x) = 192x^3

Hence, g(4x) is 192x^3.

Cheers.

Answer: 13.B

  14.B

15.C

16.A

17.D

18.A

Step-by-step explanation:

Area of a circle is pi x r^2

R is the radius which is have the diameter: r = 10/2 = 5

Area of the full circle would be 3.14 x 5^2 = 3.14 x 25 = 78.5 square units.

A semi circle is half a full circle

Area of the semi circle = 78.5/2 = 39.25 square units.

Answer:

19. Option A

20. Option B

Step-by-step explanation:

Answer: 20.5

Step-by-step explanation:

subtract 0.05 from each answer until you get 20 terms then add those terms up