I am a decimal between 0.57 and 0.71. My thousandths digit is 2 greater than my

At the newest animated movie, for every 9 children, there are 4 adults. There are a total of 39 children and adults at the movie

WARRIOR [948]

For every 9 children, there are 4 adults.
If there are 39 children and adults, we can work backwards to find the answer.

Lets start by multiplying 9. Lets do 3. 9 x 3 = 27.
Ok, now we have an estimate of 27 Children, now all we have to do is multiply the number of adults by 3.
Now we can multiply 4 x 3. 4 x 3 = 12. Now we have the number of children and adults.
Now lets add these together. 12 + 27 = 39! Perfect! Now we know that there are 27 children, and 12 adults.

Hope this helps!!

8 0

3 years ago

What is the inverse of f(x)=e^x

enot [183]

Answer:

$f^{-1}(x)=\ln{x}$

Step-by-step explanation:

An <em>inverse</em> function is any function that "undoes" another function. If we think of the function $f$ as some kind of machine that takes in a number $x$ as input and produces a number $f(x)$ as an output, when we give inverse function $f^{-1}$ the number $f(x)$ as in input, we get $x$ , our original input, as the output $f^{-1}(x)$

We need a function that undoes $f(x)=e^x$ , and the natural choice for undoing an exponent is with a logarithm. Here, our base is $e$ , so we'll choose $\log_e{x}=\ln{x}$ as our inverse function. Let's see how that works:

$f^{-1}(f(x))=\ln{e^x}$

$\ln{e^x}$ is the power we have to raise $e$ to to get $e^x$ , which is $x$ , so

$f^{-1}(f(x))=\ln{e^x}=x$

And we have our function.

8 0

3 years ago

Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both stations spot a fire. The bearin

MakcuM [25]

Answer:

AC = 13.38 miles

BC = 12.65 miles

Where C is the fire location

Step-by-step explanation:

Two fire-lookout stations A and B are 14 miles apart.

The bearing of the fire from station A is Upper N 35 degrees E .

This implies that angle A = 90-35= 55°( reason because B is directly NE of A)

bearing of the fire from station B is N 30 degrees W.

This signifies that angle B is 90-30 =60°

Let's call the fire position C

Angle C = 180-60-55

Angle C= 65°

For Side AC

AB/sin C = AC/sin B

14/sin 65 = AC/sin 60

AC = 13.38 miles

For Side BC

BC/sin A = AB/sin C

BC = sin 55 * (14/sin 65)

BC = 12.65 miles

6 0

3 years ago

100 POINTS

tigry1 [53]

Answer:

1.2 > 1.13

2.38 > 2.3

1.40 = 1.4

Step-by-step explanation:

Each blank large square represents 1 (as in the whole number 1)

The large squares with vertical lines have been divided into 10 equal parts. Therefore each strip = 1 ÷ 10 = 0.1

The large squares that have a grid of small squares have been divided into 100 squares. Therefore, each small square = 1 ÷ 100 = 0.01

Therefore, you need to color each accordingly.

When coloring the strips, color from left to right.
When coloring the small squares, color from left to right and top to bottom.

Once colored, you should then be able to compare the colored sections and decide which section is visually bigger, smaller (or equal)

1) 1.2 : color the entire large blank square to represent the "1", then color the first 2 strips in the adjacent square to represent the ".2"

1.13 : color the entire large blank square and 13 of the small squares.

1.2 > 1.13

2) 2.38 : color both large blank squares, then color 38 of the small squares

2.3 : color both large blank squares, then color 3 of the strips

2.38 > 2.3

3) 1.40 : color the large blank square, then color 40 of the small squares

1.4 : color the large blank square, then color 4 of the strips

1.40 = 1.4

5 0

2 years ago

What is 3.8 repeating as a fraction

Westkost [7]

3 and 4/5 would be the fraction form of 3.8

5 0

3 years ago