PLS HELP - Algebra 2
Mikael earned $47,000 during the first year of his job at city hall. After each year, he received a 3% raise. Find his total earnings during the first 5 years on the job.

The sound intensity level should be decreased by 2 dB to carry the studio into consistency with the rules.

A decrease of 2 dB can be accomplished by one or the other by closing down a portion of the machines (since the sound intensity level declines by 6 dB for each splitting of the sound power) or by introducing sound-sealing materials.

Thus, to carry the studio consistent with the rules, 16 machines would need to be closed down.

It's vital to follow well-being and security rules in the working environment to guarantee the prosperity of representatives and forestall hearing harm. Decreasing the number of machines or introducing soundproofing materials can bring the studio into consistency.

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Answer:

17.0 m/s

Step-by-step explanation:

Using SUVAT:

\(s= \\u=7.0\:\textsf{m/s}\\v=v \\a=2.0\:\textsf{m/s}^2\\t=5\: \sf s\)

\(\begin{aligned}\textsf{Using}\quad v & =u+at\\ \implies v & = 7.0+2.0(5)\\ & = 7.0+10.0\\ & = 17.0\:\textsf{m/s} \end{aligned}\)

Answer:

C

Step-by-step explanation:

I hope this helps you out!

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

The collection of all potential inputs for a function is its domain. For instance, the domain of f(x)=x2 and g(x)=1/x are all real integers with the exception of x=0.

Think about the function y = f. (x). The range of the function is the range of all the y values, from least to maximum. Substitute all possible values of x into the provided expression of y to see whether it is positive, negative, or equal to other values.

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Answer:

x=40

Step-by-step explanation:

Set the equation equal to 142

142= 3x+22

subtract 22

120=3x

divide by 3

x=40

Step-by-step explanation:

X= 4-3y/y-5

x(y-5) = 4-3y

xy -5x = 4 -3y

xy+3y = 4+5x

y(x+3)= 4+5x

y = (4+5x)/(x+3)

Answer:

Step-by-step explanation:

He did not pay the card in full the previous month, so he will have to pay a finance charge. If the APR is 19.2%, what is his finance charge? 778-12x9+1876 x 8

We can prove this statement by showing that the union of A and one more element in B will produce 2n subsets. Let's assume that set A has n subsets, S, S2, ..., Sn. Set B consists of the elements of A and one more element, so |B| = |A| + 1.

Now, let's take the union of A and one more element in B, which will produce 2n subsets. The subsets of B can be divided into two categories - those which contain the extra element in B (denoted by B'), and those which do not contain the extra element in B (denoted by B'').

From set A, we can produce n subsets. When we take the union of A and one more element in B, it will produce n additional subsets which contain the extra element in B (B'). So in total, we have 2n subsets.

Thus, we can conclude that set B must have 2n subsets, if set A has n subsets.

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They will save $100 if they purchase together rather than separately.

If this week, the store is offering one free window for each purchase of 4, then the price of 5 windows will be just equal to the price of 4.

1 window = $100

5 windows = 4 x $100 = $400

If

Dave needs 7 windows  

Doug needs 8 windows

total they need together = 7+8 = 15 windows.

Buying at the offer of $400/5 windows,

they should buy 3 sets of 5 windows.

3 x 5 = 15

cost when bought together : 3 x $400

cost when bought together : $1200

If they bought separately,

Dave : 7 = 5 + 2

cost = $400 + 2($100)

cost = $600

Doug : 8 = 5 + 3

cost = $400 + 3($100)

cost = $700

cost when bought separately : $600 + $700

cost when bought separately : $1300

compare the two total costs and to determine how much they will save.

$1300 - $1200 = $100

They will save $100 if they purchase together rather than separately.

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Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer:

3 or -3

Step-by-step explanation:

What number multiplied by itself will give you 9

1*1 =1

2*2 =4

3*3 =9

Also note that negative times negative will be positive so

-1*-1=1

That means -3*-3 = 9

Answer:

3^2 0r (-3)^2

Step-by-step explanation:

let the number be x

x^2=9

x=\(\sqrt{9\)

x=\(\sqrt{3*3\)

x=3

there fore x=plus or minus 3.since it is a sqauring a number if u square (-3)^2 along will the number sign also gets multiplied and (-*-)=+ so u we get positive number.

therefore if u square 3 then u will get 9

Answer:

what is the question? a circle is 360 degrees if that is what you're asking.

Answer:

not enough of information

Step-by-step explanation:

Answer:

3. The tree increased in height each month until the time period between month 9 and month 11.

The statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.

It should be noted that a table simply means a list of numbers to that depicts a particular information.

In this case, the statement that can be supported by the information in the table is that the tree increased in height each month until the time period between month 9 and month 11.

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Answer:

C.

Step-by-step explanation:

rolling a cube would have six possible but then flipping a coin would mean it would be 12.

Answer: 12 days

Step-by-step explanation:

Based on the question, we have to list the multiples of 3 and 4. This will be:

3 = 3, 6, 9, 12, 15, 18, 21, 24, 27, 30

4 = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40.

The lowest common multiple is 12.

It will take 12 days before Korey runs and swims again on the same day.

Answer:

True

Step-by-step explanation:

An expected value is another term for the mean of a probability distribution. The number of successes in a binomial experiment must range from zero to n. In a binomial experiment, the number of successes can never exceed the number of trials. The probability of a success must exceed the probability of a failure.

Answer:

61.67 supplementary

Step-by-step explanation:

good luck!

Answer:

A

Step-by-step explanation:

give brainliest

supplementary  61.67

Since we are looking for a line parallel to TU, it will have the same slope of 1. Therefore, the answer is (A) 1.

In mathematics, slope is a measure of the steepness of a line. It is the ratio of the vertical change between two points on a line (the rise) to the horizontal change between the same two points (the run). The slope of a line can be positive, negative, zero, or undefined, and is often represented by the letter m.

Here,

The slope of the line that contains side TU can be found by using the slope formula:

slope = (change in y)/(change in x)

For the points T and U, the change in y is 2 and the change in x is 2, so the slope of TU is:

slopeTU = (2)/(2)

= 1

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Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

Answer:

2.5 Boxs (3 boxes rounded)

Step-by-step explanation:

Moana has 6 friends and each wants 5 cookies

We multiply 6 times 5 and get 30.

30/12 is 2.5 meaning Moana will need 2 and a half boxes of cookies, or rounded up 3 boxs

Jane can select 80 different types of dinner consisting of 3 different items from 5 different vegetarian items and 4 different meat items available.

For finding the various combination of dinners available which has atleast one vegetarian item we will apply combination formula with the given data i.e., \(^{n} C_{r} = \frac{n!}{(n-r)!.r!}\)

A combination is a way of selecting items from a collection where the order of selection does not matter.

We will have to apply the formula separately for vegetarian and meat items.

Combinations available

A. 1 vegetarian item and 2 meat items              

    \(^{5} C_{1} and ^{4} C_{2}\)                                 (In combination "and" means to multiply)                                                                                        

   = \(\frac{5!}{(5-1)!.1!} . \frac{4!}{(4-2)!.2!}\)

   = \(\frac{5!}{(4)!.1!} . \frac{4!}{(2)!.2!}\)

   = \(\frac{5.4.3.2.1}{(4.3.2.1).(1)}. \frac{4.3.2.1}{(2.1).(2.1)}\)

   = 5.3.2

   = 5.6

   = 30

B. 2 vegetarian items and 1 meat item

    \(^{5} C_{2} and ^{4} C_{1}\)

   = \(\frac{5!}{(5-2)!.2!} . \frac{4!}{(4-1)!.1!}\)

   = \(\frac{5!}{(3)!.2!} . \frac{4!}{(3)!.1!}\)

   = \(\frac{5.4.3.2.1}{(3.2.1).(2.1)}. \frac{4.3.2.1}{(3.2.1).(1)}\)

   = 5.2.4

   = 10.4

   = 40

C. 3 vegetarian items and no meat item

   = \(^{5} C_{3} and ^{4} C_{0}\)

   = \(\frac{5!}{(5-3)!.3!} . \frac{4!}{(4-0)!.0!}\)

   = \(\frac{5.4.3.2.1}{(2.1).(3.2.1)}. 1\)

   = 5.2

   = 10

Now, we will add all the different combination

Total combinations = 30+40+10

                                = 80 different type of dinners

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Answer:

THanks

Step-by-step explanation:

Answer:

What is the question??

Step-by-step explanation:

The measurement of side DF is 4cm.

Here in the figure attached below,

Given two triangles ΔABC and ΔDEF

Also given that,

ΔABC and ΔDEF are congruent to each other.

Given AC = 4cm

Since both triangles are congruent ,

Side AC is congruent to DF

Therefore DF = 4cm (based on SSS theorem).

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The measure of DF is 4cm.

What is congruent triangle?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

Here in the figure attached below,

There are two triangles ΔABC and ΔDEF and it is given that ΔABC and ΔDEF are congruent to each other.

From the figure, side AC = 4cm

The side DF = AC = 4cm, because the triangles  ΔABC and ΔDEF are congruent to each other and based on Side-Side-Side Theroem, we can confirm that.

Hence, DF = 4cm.

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Lines have a larger m value, that is, m > 1 have steeper slope and lines having an m value between 0 and 1, usually in the form of a fraction have a flatter slope .

Slope is the rate of change in the dependent variable with respect to the independent variable.

For an equation of line of the type - y= mx +c , the slope is given by the m value.

Now, if the value of m > 1 like m=1,2,3, ... , the lines have a steeper slope and have a steep nature.

Similarly, if the value of m < 1 i.e. 0 < m < 1 like m=1/2,2/3, ... fractional values,  the lines have a flatter slope and do not have a steep nature.

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Answer:

13

Step-by-step explanation:

7x + 4y

7(5) + 4(-3)

25 -12

13

Answer:

23

Step-by-step explanation:

7*5=35

4*-3=-12

35+-12=23