Answer:
8
Step-by-step explanation:
PEMDAS
so answer all exponets
100-(100+64)/8
100-164/8
-64/8
answer= -8
Answer:
150 cm/s
Step-by-step explanation:
We have that the area of a rectangle is as follows:
a = l * w
they ask us to change the increase in area with respect to time, therefore, if we derive with respect to t we are left with:
da / dt = w * (dl / d) t + l * (dw / dt)
From the statement we know that:
l = 20 cm
w = 15 cm
dl / dt = 6 cm / s
dw / dt = 3 cm / s
replacing each value we have:
da / dt = 15 * 6 + 20 * 3
da / dt = 150
Which means that 150 cm / s increases the area of the rectangle in relation to time
Answer:
P(T) = 1/20 = 0.05
The probability of randomly selecting an umbrella and a shaving kit in that order is 0.05
Step-by-step explanation:
The probability of randomly selecting an umbrella and a shaving kit in that order.
P(T) = Probability of selecting umbrella first P(U) × probability of selecting shaving kit second P(S)
P(U) = 1/5 (1 umbrella out of five possible gifts)
P(S) = 1/4 (1 shaving kit out of four remaining possible gifts)
P(T) = 1/5 × 1/4
P(T) = 1/20 = 0.05
Answer:
3a) y = -0.1x +26000
3b) $16500
4a) y = 8.2x - 16451.27
4b) 79.93
Step-by-step explanation:
3a) y = -0.1x +26000
3b) If the odometer reads 95000 we need to plug in that value for x: y = -0.1(95000) + 26000 = $16500
4a) y = 8.2x - 16451.27
4b) To estimate the number the rabbits in the year 2016, we need to plug in that value for x: y = 8.2(2016) - 16451.27 = 79.93 = 80 rabbits
First number is (x).
Second number is (2x+7).
Third number is (x-12).
Their sum is (x+2x+7+x-12).
x+2x+7+x-12 =131
You can simplify this equation
4x-5=131,
4x=136
x=136/4=34 (first number),
(2x+7)=34*2+7=75 (second number)
34-x=34-12 =22(third number)
Check: 34+75+22=131