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erik [133]
3 years ago
6

PLS HELP!! Write the expression as a single logarithm. 3logbq + 6logbv

Mathematics
1 answer:
Alika [10]3 years ago
5 0

\bf \textit{logarithm of factors} \\\\ log_a(xy)\implies log_a(x)+log_a(y) \\\\\\ \textit{Logarithm of exponentials} \\\\ log_a\left( x^b \right)\implies   b\cdot log_a(x) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3log_b(q)+6log_b(v)\implies log_b(q^3)+log_b(v^6)\implies log_b(q^3v^6)

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The arch of a bridge can be modeled by <img src="https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B170%7D%28x-225%29%28x%2B225%29" i
Usimov [2.4K]

Answer:

450 feet at ground level

Step-by-step explanation:

The width of the bridge at ground level will be where the function intercepts the x-axis also known as the roots or zeros of the function. They are found using the zero product property to set each factor equal to 0.

This means (x-225) = 0 and (x + 225) = 0. So x = -225, 225.

This means the width is the absolute value of |-225| + 225 since distance cannot be negative. This makes it 450 feet.

8 0
3 years ago
Read 2 more answers
A bag contains 10 red marbles, 8
zloy xaker [14]
The probability of it is 2/5
5 0
3 years ago
Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7.
Makovka662 [10]
4 a⁴ - 2 b² + 40 :

4 * ( 2⁴) - 2  * ( 7²)  + 40 = 

4 * 16 - 2 * 49 + 40 =

64 - 98 + 40 =

-34 + 40 =

+ 6

<span>hope this helps!</span>
4 0
3 years ago
Write −12.405 as a mixed number in simplest form
serious [3.7K]

Answer:

-12\frac{81}{200}

Step-by-step explanation:

In the decimal of −12,405, leave the −12 and divide 405 by 1000 for now:

\frac{81}{200} = \frac{405}{1000}

Greatest Common Divisor [GCD]: 5

Finally, you attach this back to the −12, giving you -12\frac{81}{200}.

I am joyous to assist you anytime.

3 0
3 years ago
Using the same survey methodology: random sample of US residents between the ages of 18 to 75 who registered on the Crest websit
kirza4 [7]

Answer:

Stratified sampling

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

In this question:

Population divided into groups, and random samples are drawn from the groups. This is a mark of stratified sampling.

6 0
3 years ago
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