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3 years ago

Fill the missing values to make the equations true.

Mathematics

1 answer:

taurus [48]3 years ago

3 0

Logarithm properties:

$\displaystyle \log_a b+\log_a c=\log_a (b\cdot c)\\\\\log_ab-\log_a c=\log_a \left( \frac{b}{c} \right)\\\\\log_{a^p}b^q= \frac{q}{p} \log_a b$

According to this, we can get:

$\displaystyle a)\log_7 3+\log_7 8=\log_7 (3\cdot 8)=\log_724\\\\b) \log_89-\log_85=\log_8 \frac{9}{5}\\\\c)\log_325=2\log_35$

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Please solve it for me!! The answer is 97.3cm

Arada [10]

Answer:

which class do you read now?

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2 years ago

Read 2 more answers

A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A second prism has a square base with a si

RSB [31]

Answer:

The height of the second prism is 12 units.

Step-by-step explanation:

First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that

$Volume= 15^2 x\\2700/225=x\\12=x$

6 0

2 years ago

Answer truthfully pleaseeeeee

alexandr1967 [171]

Answer:

1/4

Step-by-step explanation:

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3 0

2 years ago

Whats the radius for the circle? x^2+2x+y^2+4y-6=0

MAXImum [283]

Answer:

r = $\sqrt{11}$

Step-by-step explanation:

So we need to complete the square for both parts of the equation

First though we can add the 6 to the other side so we have x² + 2x + y² + 4y = 6

So first we can complete the square for x² + 2x

To do so we need to use $(\frac{b}{2} )^{2}$ to figure out the number we need to add to both sides

In this case our b is 2, so substituting this in we get $(\frac{2}{2} )^{2} =(1)^{2} =1$

Here we add 1 to both sides and now we have x² + 2x + 1 + y² + 4y = 6 + 1

Now we can follow the same steps to complete the square for y² + 4y

Here our b is 4, so substituting this in we get $(\frac{4}{2} )^{2}=(2)^{2} =4$

Now we add 4 to both sides and now we have x² + 2x + 1 + y² + 4y + 4 = 6 + 1 + 4

Now condensing everything we have (x + 1)² + (y + 2)² = 11

The formula for a circle is (x - h)² + (y - k)² = r²

In our equation we have r² = 11

To find the radius we need to take the square root of both sides $\sqrt{r^{2}} =\sqrt{11}$ to get r = $\sqrt{11}$

5 0

2 years ago

Lashonda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.C

musickatia [10]

Answer:
30 < m
The solution would be (30, ∞)

Explanation:
For company A:
The charge is: $96 for any number of mileage ..............> I
For company B:
The charge is $75 fixed and 0.7 for each mileage m. This means that the charge is: 75 + 0.7m .................> II

We want the charge of company A to be less than the charge of company B. This means that we want I to be less than II.
Therefore,
96 < 75 + 0.7m
96 - 75 < 0.7m
21 < 0.7m
21/0.7 < m
30 < m

This means that for any mileage greater than 30, the charge of company A will be less than the charge of company B

Hope this helps :)

3 0

3 years ago