Draw a Punnett square of an Ss x ss cross. The S allele codes for long stems in pea plants and the s allele codes for short stem

Answer:

From 1 kg of aspirin, a total of 12,345 tablets can be produced.

Step-by-step explanation:

This query mentions that low-strength chewable aspirin tablets for children and adults contain 81 mg of aspirin each, asking how many tablets can be made from 1 kg of aspirin.

Considering the weight of a tablet measured in kg, we start by converting 81 mg to kg.

Each kg equals 1,000,000 mg. Hence

1 kg - 1,000,000 mg

x kg - 81 mg.

1,000,000x = 81

Therefore, x = 0.000081 kg.

Each tablet essentially contains 0.000081 kg of aspirin. To find out how many tablets this yields from 1 kg of aspirin:

1 tablet - 0.000081 kg

x tablets - 1 kg

0.000081x = 1

Thus, x = 12,345 tablets.

Therefore, a total of 12,345 tablets can be manufactured from 1 kg of aspirin.

X² + 7x - 8 = 0; product = -8 times 1 = -8; sum = 7; {-1, 8}; x² - 1x + 8x - 8 = 0; x(x - 1) + 8(x - 1) = 0; thus, x + 8 = 0 or x - 1 = 0, leading to x = -8.

Step-by-step approach: The Chancellor should implement a multi-stage sampling method for the survey. Initially, random samples of solar systems should be selected from the galaxy, followed by sampling planets within the chosen solar system, and finally, a random selection of countries within those planets.

Answer:

We have defined functions:

f(x) = IxI + 1

g(x) = 1/x^3.

Currently, it is evident that the composite functions are not commutative.

How can we demonstrate this?

To determine if two composite functions are commutative, the following must hold true:

f(g(x)) = g(f(x))

One could apply brute force (simply substituting values to see if the composite functions commute),

but I will opt for a more sophisticated approach.

There are two notable observations:

g(x) has a point of discontinuity at x = 0.

Thus:

f(g(x)) = I 1/x^3 I + 1

remains discontinuous at x = 0, whereas:

g(f(x)) = 1/(IxI + 1)^3

shows that the denominator IxI + 1 can never reach zero.

At this point, there is no discontinuity.

Consequently, the composite functions cannot be commutative.

The graphics that are missing can be found in the attachment.

Answer: Graphic of alternative D.

Step-by-step explanation: An inverse function is one that reverses another function: Typically, x denotes the variable while y is the function. In the case of an inverse function, y takes on the variable role and x becomes the function. For example, f(x) = y if and only if g(y) = x.

The graphic depicting an inverse function represents the reflection of the original function across the identity line y=x.

In each alternative provided in the image, the graphs illustrate a function paired with its inverse, however, in alternative D, the dashed line accurately represents the identity line y = x and its correlation with the function and its inverse. Therefore, Graph D is the valid option.