X=4/5 Y=4/X+SQRT X +0.2 -5X What is the value of Y

Answer:

Yes, the cost in dollars and the quantity of yogurt are indeed proportional.

The relationship can be expressed as:

Step-by-step explanation:

1. If varies directly with , it can be represented as:

Here, represents the constant of proportionality.

2. We'll calculate the proportionality constant. Given that and , we have:

3. Thus, the equation becomes:

4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:

5. They are indeed directly proportional.

Total time taken = 9.0252 *10^12 s. Step-by-step explanation: Data provided: - Distance from Earth to Alpha Centauri: 4.3 light years. - Distance from Earth to Sirius: 8.6 light years. - Probe speed: V = 18.03 km/s. - 1 AU equals 1.58125 x 10^-5 light-years. Objective: Determine the total time the probe has been in motion from leaving Earth to reaching Sirius. Solution: - Journey is tracked for each destination sequentially:                      Earth ------> Alpha Centauri: d_1 = 4.3 light years                      Alpha Centauri ------> Earth: d_2 =4.3 light years                      Earth ------> Sirius: d_3 = 8.6 light years                      Sum of distances = D = 17.2 light years. - Now, we convert the total distance into kilometers (SI units):                             1 AU  ----------> 1.58125 x 10^-5 light-years                             x AU  ----------> 17.2 light years. - By proportions:                              x = 17.2 / (1.58125 x 10^-5) = 1087747.036 AU. Also,                             1 AU  ---------------------> 149597870700 m                              1087747.036 AU  ----> D m. - Using proportions:                              D =  1087747.036*149597870700  = 1.62725*10^17 m. - Finally, applying the speed-distance-time formula:                               Time = Distance traveled (D) / V                               Time = 1.62725*10^17 / (18.03*10^3). Final answer: Time = 9.0252 *10^12 s.

Response: The accurate statements include:-

There are nearly equal quantities of points located above and below the x-axis.

The points are distributed haphazardly without a distinct pattern.

The total number of points matches that of the scatter plot.

Explanation:

• A residual plot illustrates residuals on the vertical axis against the independent variable on the horizontal axis.

Consequently, the count of points is on par with the scatter plot, and roughly the same amount of points exist above and below the x-axis.

Given the random distribution of the points throughout the plot, it signifies there is no correlation, therefore, the points are scattered randomly without a clear arrangement.

Answer-  A,D,E

Step-by-step explanation:

A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.

Which equations correspond to the data shown in the table? Select all that apply.

y – 6 = -5/4(x + 2)

y – 2 = -5/4(x - 1)

y + 2 = -5/4(x - 6)

y – 1 = -5/4(x - 2)

y – 3.5 = -1.25x

This is just rewording the question

Total: 737.38 + 618.57 equals 1,355.95, which is Choice A.