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stealth61 [152]
2 years ago
14

#31 Write the expression as a single logarithm Show each step please

Mathematics
1 answer:
Dmitrij [34]2 years ago
7 0
This pic is the answer i believe

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What is the function notation of h(x)={x-3}+1 if h(-5)
galben [10]

Answer:

-7

Step-by-step explanation:

h(x)={x-3}+1 if h(-5)

When h(-5) = {-5-3}+1 ={-8}+1= -8+1=-7

8 0
3 years ago
Shiny White dental insurance costs $258 per year. Approximately one-third of insured people need a filling, which averages $110
sveta [45]

Answer:

  about $145.33

Step-by-step explanation:

Consider a group of 15 customers. They will pay ...

  15 × $258 = $3870

in premiums each year.

One-third of those, 5 customers, will submit claims for fillings, so will cost the insurance company ...

  5 × $110 = $550

And 80% of them, 12 customers, will submit claims for preventive check-ups, so will cost the company ...

  12 × $95 = $1140

The net income from these 15 customers will be ...

  $3870 -550 -1140 = $2180

Then the average income per customer is this value divided by the 15 customers in the group:

  $2180/15 = $145.33

_____

<em>Alternate solution</em>

Above, we chose a number of customers that made 1/3 of them and 4/5 of them be whole numbers. You can also work with one premium and the probability of a claim:

  258 - (1/3)·110 - 0.80·95 = 145.33

8 0
3 years ago
Read 2 more answers
8+4(s-4t) simplify the expression. HELP, 20 POINTS
ella [17]
8+ 4s -16t= 4 (2+s-4t)
5 0
3 years ago
Select all of the scales that are equivalent to 3 cm to 4 km.
ra1l [238]

In mathematics, a scale can be described in charts as a marking system at predefined times, which determines the relationship between the units that are being used and their images on the graph, and the further calculation can be defined as follows:

  • Since in this question, the ratio is between 3 cm to 4 km you can make a \bold{\frac{3}{4}=\frac{cm}{km}} split, and if you are split between 3 and 4, you get the ratio between \bold{\frac{\frac{3}{4 \ cm}}{1\ km} = \frac{3\ cm}{ 4\ km}}.

         \bold{\to \frac{3 }{ 4}= 0.75}

Therefore the final answer is "0.75 cm to 1 km"

Learn more:

brainly.com/question/15285394

6 0
1 year ago
One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference
Mars2501 [29]

Answer:

16^\circ, 88^\circ, 76^\circ

Step-by-step explanation:

Given a triangle.

One of the angles is 8^\circ more than 5 times of one angle.

Third angle is 4^\circ more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = x^\circ

As per question statement, second angle = 5x^\circ + 8^\circ

And third angle = 5x^\circ + 8^\circ - x^\circ + 4^\circ = (4x+12)^\circ

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to 180^\circ.

x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16

Therefore, the first angle = x^\circ = 16^\circ

The second angle = 5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ

The third angle = 4x+12 = 4\times 16 + 12 = 76^\circ

Therefore, the angles are 16^\circ, 88^\circ, 76^\circ.

3 0
3 years ago
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