Answer:
96
Step-by-step: the formula is base × height . 8×12=96
Answer: 6/23 mph
Step-by-step explanation: We change the 1/3 of an hour to 1 hour by multiplying 1/3 and 2/23 by 3. 1/3 times 3 is 1(hour) and 2/23 x 3 is 6/23(miles). So the unit rate the turtle is traveling at is 6/23 mph.
Answer:
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Step-by-step explanation:
A line with slope m = -1/5 passes through the points (x, 7) and (11, 8). Find the value of x.
The slope of the line through these two points is found from the slope formula and is:
8 - 7
m = ----------- and the value of m is given as -1/5. Therefore,
11 - x
1
m = ----------- = -1/5
11 - x
Cross-multiplying, we get (1)(5) = -(11 - x), or 5 = -11 + x. Then x = 16
This tells us that the line with slope -1/5 passes through the two points (16, 7) and (11, 8). The previously unknown x-coordinate is 16.
Answer:9
Step-by-step explanation: Problem. Evaluate the expression log2
1
8 without using a calculator.
Solution. We know that 1
8 = 2−3
. Therefore, log2
1
8 = −3.
Problem 6
Problem. Write the exponential equations as logarithmic equations.
(a) 272/3 = 9.
(b) 163/4 = 8.
Solution. (a) The base is 27 and the exponent (logarithm) is 2/3. So the logarithmic
equation is
log27 9 =
2
3
.
(b) The base is 16 and the exponent (logarithm) is 3/4. So the logarithmic equation
is
log16 8 =
3
4
.
Problem 9
Problem. Sketch the graph of the function y = 2x by hand