How much water can be held by a cylinder tank with a radius of 12 feet and a height of 30 feet

A store sells a box of high liters that contains 4 yellow, 3 blue, 2 pink, and 1 green high liter. What is the probability of ra

Iteru [2.4K]

There are 10 in total
3/10 x 2/9 = 6/90
Reduce
1/15
1/15 is the chance of that happening

3 0

2 years ago

A number of squares are connected in a row to form a rectangle. The table shows the relationship between the number of squares,

svp [43]

Answer:

✅The table can be represented by the equation, $y = 4x + 4$

✅The relation is a function.

✅The graph of the function is linear.

Step-by-step explanation:

✍️The first statement: The table can be represented by the equation, $y = 4x + 4$ .

To check if the first statement is correct let's find the equation that can represent the table by finding the slope (m) and y-intercept (b).

Using two pairs, (1, 8) and (2, 12),

Slope = $\frac{y_2 - y_1}{x_2 - x_1} = \frac{12 - 8}{2 - 1} = \frac{4}{1} = 4$ .

Substitute, x = 1, y = 8, and m = 4 into y = mx + b to solve for b.

Thus:

8 = (4)(1) + b

8 = 4 + b

Subtract 4 from each side

8 - 4 = b

4 = b

Plug in the values of b and m into y = mx + b.

Thus, the equation that represents the table would be:

$y = 4x + 4$ .

✅Therefore, the first statement is correct.

✍️The second statement: The graph of the function is non-linear.

This is NOT TRUE because the equation of the function, $y = 4x + 4$ , represents the equation of a linear graph in the slope-intercept form. When graphed, it will give us a straight line.

✍️The Third statement: The relation is a function.

This is TRUE because each input value (x-value) has exactly one output value (y-value).

✍️The Fourth statement: The rate of change is NOT constant.

This standby is NOT TRUE.

The rate of change is the slope (m) that we have calculated above to be 4. Between any two pairs, the rate of change remains 4.

Therefore, this statement is not correct.

✍️The Fifth statement: The graph of the function is linear.

This is TRUE. As stated earlier, from the equation generated, it is safe to say that the equation represents graph of a linear function. The graph will be a straight line graph.

5 0

2 years ago

You buy 100 shares of a company stock at $9.75 per share and place the same amount in a savings account earning 4.5% APR. The st

MakcuM [25]

Savings account100 shares x $9.75 = $975, then multiplied by 0.045 will result to $43.89.
Stock100 shares x $9.75 = $975, then multiplied by 0.08 will result to $78.00.
So, the difference between your stocks and savings account by end of the year is $34.11 ($78.00 deducted by $43.89).Your stock is gaining higher APR by $34.11 than what's calculated in your savings account.

5 0

2 years ago

Read 2 more answers

Anyone know the answer?

Brut [27]

Check out the picture I've got the full explanations on there
Hope it's clear