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vredina [299]
3 years ago
7

Write an equivalent logarithmic equation for e^x=24

Mathematics
1 answer:
Alchen [17]3 years ago
4 0

Answer:

x=ln 24

Step-by-step explanation:

e^x=24

If we take the ln of both sides

ln e ^x= ln 24

x=ln 24

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A line segment has an endpoint at (-6,6), and its midpoint is at (5,5). What is the ordered pair for the other endpoint of the l
Daniel [21]

Answer:

The right endpoint coordinates are (16, 4).

Step-by-step explanation:

Going from (-6, 6) to (5, 5), we see x increasing by 11 and y decreasing by 1.  We want to find the coordinates of the other endpoint, which lies to the right of the given midpoint.  The increase in x from the midpoint to the right end point is 11 and the decrease in y is 1.

To find the coordinates of the right end point, start with the midpoint and increase its x-coordinate by 11 and decrease its y-coordinate by 1.  We get:

(5 + 11, 5 - 1), or (16, 4).

The right endpoint coordinates are (16, 4).

7 0
3 years ago
-1/2 (-5/6 + 1/3)<br><br> Simplify the expression
nata0808 [166]

Answer:

Exact Form:

1/4

Decimal Form:

0.25

Step-by-step explanation:

7 0
3 years ago
Which is the best for the sum 2/9+10/11?a. 0+0=0 b.1/2+1/2=1 c. 1+1=2d. 0+1=1
Sloan [31]

You have the following expression:

\frac{2}{9}+\frac{10}{11}

By definition, when you want to express a fraction as a decimal number, you must divide the numerator by the denominator. Knowing this, you get the following:

\begin{gathered} \frac{2}{9}\approx0.22 \\  \\ \frac{10}{11}\approx0.90 \end{gathered}

You can identify that:

\begin{gathered} 0.22\approx0 \\ 0.90\approx1 \end{gathered}

Based on the above, you can determine that the best estimate for the sum is:

\frac{2}{9}+\frac{10}{11}\approx0+1=1

The answer is option d:

0+1=1

3 0
1 year ago
During the summer holidays sarah earns pocket money by mowing lawn. She can mow 6 lawns in 1 1/2 and clean the pool in one-sixth
tigry1 [53]

Answer:

It will take Sarah 2 1/2 hours to mow 10 lawns

It will take Sarah 1 2/3 hours to clean 10 pools

Step-by-step explanation:

During the summer holidays, Sarah earns pocket money by mowing the lawn. She can mow 6 lawns in 1 1/2 hour and clean a pool in one-sixth of an hour. How long does Sarah take to clean 10 pools and 10 lawns?

Number of lawns : Time to mow lawns = 6 : 1 1/2

= 6 : 3/2

Number of lawns : Time to mow lawns = 10 : x

6 : 3/2 = 10 : x

6 ÷ 3/2 = 10/x

6 * 2/3 = 10/x

12/3 = 10/x

Cross product

12 * x = 3 * 10

12x = 30

x = 30/12

x = 2 6/12

x = 2 1/2 hours

It will take Sarah 2 1/2 hours to mow 10 lawns

Number of pools cleaned : time taken = 1 : 1/6

Number of pools cleaned : time taken = 10 : x

1 : 1/6 = 10 : x

1 ÷ 1/6 = 10/x

1 * 6/1 = 10/x

6 = 10/x

Cross product

6 * x = 10

6x = 10

x = 10/6

x = 1 4/6

x = 1 2/3 hours

It will take Sarah 1 2/3 hours to clean 10 pools

3 0
3 years ago
72372 divided by 111
MAVERICK [17]

The answer is 652

I hope this helps youuuuuuu!!!

5 0
4 years ago
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