A relay race covers a distance of 8.4 each team member is expected to run 1.2 how many runners will be needed to cover the complete distance

Answers

Answer 1

Answer: 8.4/1.2=7
so there would have to be 7 runners

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Simplify the equation

( -3x )^0 / 2

if possible please explain

Answers

(-3x)^0/2

Simplify

= 1/2

I hope that's help !

Basically, remember that anything to the power of zero will equal one, so 1/2 is one half

How do you evaluate expressions?

Answers

To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.

Triangle PQR has vertices P(0, 0), Q(3, 4), and R(3, 0). If triangle PQR is rotated 180° about the origin, what is the length of side P'Q'?

Answers

Answer:

The length of P'Q' is 4 units

The length of P'R' is 3 units

Step-by-step explanation:

If you rotate the figure 180° then the vertex would be R, and from P to Q is 3 units left and 4 units down

Final answer:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'. When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y). Using the distance formula, we can find the length of side P'Q': d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5. Therefore, the length of side P'Q' is 5 units.

Explanation:

To find the length of side P'Q' after rotating triangle PQR 180° about the origin, we need to find the distance between the points P'(0,0) and Q'.

When you rotate a point (x, y) 180° about the origin, the new coordinates are (-x, -y).

So, the coordinates of point Q' would be (3, 4) rotated 180°, which is (-3, -4).

Using the distance formula, we can find the length of side P'Q':

d = sqrt((-3-0)^2 + (-4-0)^2) = sqrt(9 + 16) = sqrt(25) = 5.

Therefore, the length of side P'Q' is 5 units.

Learn more about rotating triangles here:

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Diameter of a salad plate: 8 in

Answers

what is your question?

Simplify (3x - 5) + (3x + 6).

Answers

Since neither of the bracketed expressions is preceded by a minus sign, and neither one has a multiplier outside of it, all of the parentheses can simply be removed.

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

3x - 5 + 3x + 6

Combine the 'x'-terms: 3x + 3x = 6x
Combine the numbers: -5 + 6 = 1

The expression is equivalent to . . . . . 6x + 1

add like terms.
3x + 3x + -5 + 6

your final answer would be 6x + 1

In his study of pea plants, Gregor Mendel used which method to produce offspring?a.cross-pollination, by using parents that had identical traits
b.cross-pollination, by using parents that had different traits
c.self-pollination, by using one parent
d.random pollination, by using both identical- and different-trait matings

Answers

In his study of pea plants, Gregor Mendel used Cross-pollination method to produce offspring.Therefore the answer is b.cross-pollination, by using parents that had different traits. The traits of two different organism can be seen in the microscope.

we know that

Gregor Mendal used a process of cross-pollination,by using parents that had different traits in his experiment with pea plants. He was studying the difference between tall and short pea plants, and how genes were expressed differently between the two, so this method of cross-pollination was vital in order to accurately recreate how this process would happen within nature.

therefore

the answer is the option

b.cross-pollination, by using parents that had different traits

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