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3 years ago

Here is a list of numbers.

Mathematics

1 answer:

adoni [48]3 years ago

6 0

A. 14 (7x2=14)

b. 8 (8x3=24)

c. 11 (no other numbers except 1 and 11 multiply to get 11)

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How to solve a log equation with variable in the exponent?

GREYUIT [131]

Example...

4^x = 16
log(4^x) = log(16)
x*log(4) = log(16)
x = log(16) / log(4)

6 0

3 years ago

Please someone answer this please

gladu [14]

Option C:

$\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

To find which expression is equivalent to the given expression.

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

Using exponent rule: $\frac{1}{a^m}=a^{-m}, \ \ \frac{1}{a^{-m}}=a^{m}$

$$=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }$

$$=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }$

Using exponent rule: ${a^m}\cdot{a^n}=a^{m+n}$

$$=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }$

$$=\frac{-18 a^{2} b^{11}}{-12 }$

Divide both numerator and denominator by the common factor –6.

$$=\frac{3 a^{2} b^{11}}{2 }$

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }$

Therefore, $\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Hence Option C is the correct answer.

8 0

4 years ago

(-2)5 . (-2)3<br><br><br> Product of powers property

cupoosta [38]

Answer:

$-2^{8}$

Step-by-step explanation:

6 0

3 years ago

Rachel hikes at a steady rate from a ranger station to a campground that is 20 mi away. After 2 h, she is 13 mi from the campgro

Angelina_Jolie [31]

Answer:

-3.5

The distance Rachel covers per hour is 3.5 miles

Step-by-step explanation:

After 2 hours, she is 13 miles from the campground.

After 4 hours, she is 6 miles from the campground.

Let x be the number of hours, y be the number of miles from the campground, then we have two points (2,13) and (4,6).

The equation of the line passing through the points $(x_1,y_1)$ and $(x_2,y_2)$ is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

Substitute:

$x_1=2\\ \\y_1=13\\ \\x_2=4\\ \\y_2=6$

Hence,

$y-13=\dfrac{6-13}{4-2}(x-2)\\ \\y-13=-3.5(x-2)\\ \\y=-3.5x+7+13\\ \\y=-3.5x+20$

The slope of the line is $-3.5$ and it represents that the distance Rachel covers per hour is 3.5 miles.

8 0

4 years ago

5 cm is about 2 inch. Explain in a line graph to find out how many inch are in 50 cm.

KiRa [710]

Answer:

20 inches

Step-by-step explanation:

If that's centimeters on the x-axis and inches in the y-axis, then the slope is 2/5 and the y-intercept is 0.

$y=\frac{2}{5}x$

The slope of 2/5 in this context means 2 inches per 5 centimeters. Then, either by solving the equation or by graphing the line, you can determine that there are about 20 inches in 50 centimeters.

7 0

3 years ago