Can you help me please?

Mathematics

1 answer:

Cloud [144]2 years ago

6 0

X=10. Have a great day!

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Use the multiplication property of exponents to determine if each statement is true or false.

lisabon 2012 [21]

1)
LHS:
${a}^{4} \times {a}^{3} \times a \\ = {a}^{4 + 3 + 1} \\ = {a}^{7}$
LHS = RHS. So, the statement is true

2)
LHS:
${5}^{2} \times {3}^{4} \\ = 25 \times 81 \\ = {5}^{2} \times {9}^{2} \\ = {45}^{2}$
LHS not equal to RHS. So, the statement is false

3)
LHS:
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4)
LHS:
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3 years ago

If y varies directly as x and y = 12 when x = 8, find y when x = 14.

Alex17521 [72]

The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
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3 years ago

In 1911, the temperature in Rapid City,

Sliva [168]

The 3.1 °F/min rate of change of the temperature and 15 minutes change duration gives the change in temperature as 46.5 °F

<h3>How can the change in temperature be found from the rate of change?</h3>

The rate at which the temperature changed = 3.1 °F/min

The duration of the change in temperature = 15 minutes

The relationship between the change in temperature, the rate of change in temperature and the time can be presented as follows;

$3.1 ^{\circ} F/min = \frac{ \delta T }{\delta t} = \frac{ \Delta T }{ \Delta t}$