Y^2-9y+2. Y=6 evaluat the expression

Answer:

See below ↓

Step-by-step explanation:

Information we need

Solving

The sixth term of the sequence 13, 39, 117, ... is 243

The definition of the function is given as

13, 39, 117, ...

The above definitions imply that we simply multiply 3 to the previous term to get the current term

using the above as a guide,

So, we have the following representation

an = 13(3)^(n - 1)

For the 6th term, we have

a(6) = 13(3)^(6 - 1)

Evaluate

a(6) = 243

a₃ = 9 + 3

Hence, the value of the 6th term is 243

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circles are 360⁰ and lines are 180⁰

Answer:

82.358

Step-by-step explanation:

You have to use PEMDAS to solve this question. Since M is the first one we have to multiply since M stands for multiplication.

676 • 122 - 45 + 69

82,472 - 45 + 69

Then you add because A is next.

82,472 - 114

Then finish it

82,358

Your answer would be = 82,358

I hope it helps! Have a great day!

Muffin ^^

Answer:

1. -7

2. 1

3. 9

4. 17

Step-by-step explanation:

y = 4x + 1

1. y = 4 (-2) + 1

  y = -8 + 1

   y = -7

2. y = 4(0) + 1

    y = 1

3. y = 4 (2) + 1

   y = 8 + 1

   y = 9

4. y = 4 (4) + 1

   y = 16 + 1

   y = 17

I hope this helps!

Using function rule, we get,

1. -7

2. 1

3. 9

4. 17

**Given Equation:** y = 4x + 1

1. For x = -2:

  - Substitute x = -2 into the equation: y = 4 (-2) + 1

  - Calculate: y = -8 + 1

  - Result: y = -7

2. For x = 0:

  - Substitute x = 0 into the equation: y = 4(0) + 1

  - Calculate: y = 1

  - Result: y = 1

3. For x = 2:

  - Substitute x = 2 into the equation: y = 4 (2) + 1

  - Calculate: y = 8 + 1

  - Result: y = 9

4. For x = 4:

  - Substitute x = 4 into the equation: y = 4 (4) + 1

  - Calculate: y = 16 + 1

  - Result: y = 17

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Answer:

C, $12

Step-by-step explanation:

Every hour worked the employee earns $12. This is a fixed rate and the answer is shown in the 1st slot of the table -- 1 hour = $12

Answer:

12 dollars per hour

Step-by-step explanation:

For each hour worked, we make 12 dollars as show in the first column, 1 hour is 12 dollars

We can check using the last colum

48 dollars / 4 hours = 12 dollars per hour

Answer:

Answer: 1/3, 4/5, 7/8, 9/10

Step-by-step explanation:

4/5 9/10 1/3 7/8

240

5*48=240  4*48=192      192/240

10*24=240 9*24=216        216/240

3*80=240   1*80=80          80/240

8*30=240    7*30=210        210/240

Answer:

option 1 (the basic)

Convert it into a common factor.

So everything in the denominator has to have a common multiple then we can compare from there.

You can either find every multiple here and then see which ones the same or multiply them all (not recommended)

so 120 is the common factor here.

I got this because I know 10 and 5 are basically the same. Since they almost all end with 0s. I know it has to be a number that ends with 0.

8 here is the one I calculated.

My process:

8*5 = 40

40 doesnt go to 3

8*10 = 80

80 doesn’t go to 3

8*15 = 120

120 goes to 3 (Becuase if you add up the numbers 1 + 2 + 0, you’d get 3 which is divisible by 3)

So 120 is the denominator.

Now we divide each to find the numerator now.

120/5 = 24

So we multiplieds 24 by 5 to get 120.

Thats the bottom, whatever we do on the bottom we do to the top.

So 4 * 24 is 96

96/120

Now lets fast forward

In the end you’d end up with in the order we began with

96/120 …(4/5)

108/ 120 …(9/10)

40/120 …(1/3)

105/120 …(7/8)

Now we put them in order from least to greatest in this case.

40/120 …(1/3)

96/120 …(4/5)

105/120 …(7/8)

108/120 …(9/10)

Your order would be

1/3

4/5

7/8

9/10

Option 2 (the decimal)

SO in this case you jsut convert them into a decimal then compare

This is relatively easier since its jsut basic division with decimal.

You do numerator divide by denominator.

4 ÷ 5 = 0.8

9 ÷ 10 = 0.9

1 ÷ 3 = 0.3333333…

7 ÷ 8 = 0.875

Now you just put them in order

0.2, 0.333…, 0.875, 0.9

Same order as before

1/3, 4/5, 7/8, 9/10

The range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

It is given that the function [tex]\rm y= e^4^x[/tex]

It is required to find the range of a function [tex]\rm y= e^4^x[/tex]

It is defined as a special type of relationship and they have a predefined domain and range according to the function.

We have a function:

[tex]\rm y= e^4^x[/tex]

If we plot a graph of [tex]\rm y= e^4^x[/tex]:

When x = 0 then [tex]\rm y= e^4^\times^0[/tex] ⇒ 1

When x = 1 then  [tex]\rm y= e^4^\times^1[/tex] ⇒ 54.598  and so on.

The graph will exponentially go up as shown in the picture because the 'e' is the positive value(e=2.718) and the power of negative or positive values is never be a negative result.

Thus, the range of a function [tex]\rm y= e^4^x[/tex] is y>0; option second y > 0 is correct.  

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Answer:

B, all real numbers less than 0

Step-by-step explanation:

edge 2022

Answer:

41

Step-by-step explanation:

5 integers with an average of 44

⇒ sum of the integers = 5 x 44 = 220

The median is the middle number when the numbers are put in order of smallest to largest.  So the integers are:  x  x  50  x  x

The modal integer is the one that occurs most frequently, so if the mode is 52, then at least 2 of the integer are 52.  Since the median is 50, the integers are:  x x 50 52 52

Therefore, the remaining two integers are less than 50.

The range is the difference between the largest integer and the smallest integer.  As we know that the largest integer is 52 and the range is 27, then the smallest integer is 52 - 27 = 25

25 x 50 52 52

To find the last unknown integer :

⇒ sum of the integers = 25 + 50 + 52 + 52 + x = 220

⇒ x = 41

Therefore, the integers are:

25, 41, 50, 52, 52

Answer:

#6=perimeter=32 area=55

#7=perimeter=66 area=242

#8=perimeter=94  area=550

Step-by-step explanation:

5+5+11+11=32

5x11=55

22+22+11+11=66

22x11=242

22+22+25+25=94

22x25=550

Answer:

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

The sample size wasn't big enough. It could only be a trend in that grade.

Answer:

Mr. Rodriguez made a reasonable assumption. His surveys were random, non-biased, and relatively large in comparison to the school population. 12 out of 60 is 20%.

Step-by-step explanation:

Answer:

A, E, B

Step-by-step explanation:

Answer:

88

Step-by-step explanation:

We can divide this into 3 shapes, a square, rectangle, and triangle.

Let's solve the area of each of these shapes and add them all up.

First, let's solve the square.

We know that one side is 4 ft so that means that the other side is also 4ft.

4*4=16

Our area of the square is 16ft^2

Let's solve the rectangle next,

Its length is 12ft and its width is 4ft.

12*4=48

So the rectangle area is 48ft^2

Now for the triangle

Remember that area of a triangle is a=hb/2

Our height is 12 ft and our base is 4ft

12*4=48

48/2=24

Triangle is 24ft^2

That means that we can add them all up

24+48+16=88

88ft^2 or 88

Answer: perimeter: 40.79

Area: 84

Step-by-step explanation:  

perimeter: (√3² + 6²) + (√1² + 6²) + 7 + 6 +  6 + 9 = 40.79

area: ((9 + 6) x 6) / 2 + ((6 + 7) x 6) / 2) = 45 + 39 = 84

Answer:

The answer is 68°

Step-by-step explanation:

Recall that tan ∅° = [tex]\frac{Opposite}{Adjacent}[/tex] for a right triangle.

The value opposite to your angle is 5, and the value that is adjacent to it is 2.

In order to solve for the degree, you use tan^-1([tex]\frac{5}{2}[/tex]) on your calculator.

This gives a value of 68.19459, rounded to just 68.

Answer:

Not normal, because we expect fewer than 10 children to redeem the coupon.

Step-by-step explanation:

Answer:

1.732i (complex form)

its weird, at high-school level complex shouldn't come, its considered mistake in the question. But the mathematically its all correct

Step-by-step explanation:

Answer:

it’s B

Step-by-step explanation:

Answer: The answer to the question is option A

Step-by-step explanation:

Answer:

32.3m

Step-by-step explanation:

Use equation A = Ao(0.5)^(t/t½)

Now input values: 40 = 980(0.5)^(t/7)

rearrange for t: t = [7ln(2/49)]/ / ln(0.5). Then from here, you can extract 32.3 as your answer

Answer:

t = 32.3 min

Step-by-step explanation:

This is an example of half-life exponential decay.

For situations like this we have a formula.

[tex]N = N_{0} * (\frac{1}{2})^n[/tex]

N represents the end amount of parent element, N (naught) represents the starting amount of the parent element, and n being the amount half-lifes that have occurred.

Now n, can be broken down further into t/p, which means the time elapsed (t) divided by time it takes for one decay period (p), which essentially gives you the amount of half-lifes that have occurred. So you can represent the formula as:

[tex]N = N_{0} * (\frac{1}{2})^{t/p}[/tex]

The question tells you you start off with 980 grams of Element x, so put that for N naught. [tex]N = 980g * (\frac{1}{2})^{t/p}[/tex]. Then it tells you half-life is 7 minutes, which means the period it takes for one half-life to occur is 7, which is p. [tex]N = 980g * (\frac{1}{2})^{t/7min}[/tex]. You are also told that you end up with 40 grams, so put that in for N. [tex]40g = 980g * (\frac{1}{2})^{t/7min}[/tex]. Now we solve for t, the time elapsed.

(This is the part where you use logs to solve, but if you are still rough on this, I'll walk you through it)

Start off by dividing on both sides.

[tex]\frac{40g}{980g} = (\frac{1}{2})^{t/7min} \\, \frac{2}{49} = (\frac{1}{2})^{t/7min}[/tex]

Take the log of both sides.

[tex]log(\frac{2}{49}) = log( (\frac{1}{2})^{t/7min})[/tex]

Now we gotta get t out of the exponent, we'll do this by using log laws. More specifically the exponent law for log laws which states. [tex]log(b^x) = x*log(b)[/tex]. If we apply that to our situation like so.. [tex]log((\frac{1}{2})^{t/7min}) = \frac{t}{7min} * log(\frac{1}{2})[/tex]

Now our whole equation now looks like this:

[tex]log(\frac{2}{49}) = \frac{t}{7min} * log( \frac{1}{2})[/tex]

keep simplifying,

[tex]\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = \frac{t}{7min}[/tex]

[tex]7min *\frac{log(\frac{2}{49}) }{log(\frac{1}{2}) } = t\\\\t = 32.3min \\[/tex]

Now you have your answer!

Answer:

D

Step-by-step explanation:

Out of those choices, only a rational number is going to work. There are too many decimals in the given equation to give an integer, zero, a whole number or a minus number.

D

Answer:

108

Step-by-step explanation:

39 + 33 + x = 180

To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.

39 + 33 = 72

180 - 72 = 108

Therefore, our answer is 108 degrees.

I hope this helps! Have a lovely day!! :)

Answer:

63

Step-by-step explanation:

30 percent * 210 =

(30:100)* 210 =

(30* 210):100 =

6300:100 = 63

Answer:

18.84 square centimeters

Step-by-step explanation:

[tex]C =[/tex] [tex]\pi[/tex][tex]d[/tex]

[tex]C = (3.14)(6)[/tex]

[tex]C = 18.84[/tex] [tex]cm^{2}[/tex]

P.S: Diameter is radius + radius so that means that diameter is 3 + 3 for this problem.

Answer:

I believe the majority you got correct, just a few changes. Look at image above for reference.

Answer:

14.01 and 107

Step-by-step explanation:

First let’s review what all the crodile mouths mean:

< = # is less than the # on the right

> = # is more than the # on the right

≤ = # less than or equal to # on the right

≥ = # is greater than or equal to # on right

Equation:

y ≥ 14

To make this true on the values that are greater than or equal to 14 can go.

This means that these values would be correct out of the options:

14.01

107

Furthermore, 13 and 10 don’t make the equation true because neither are greater than or equal to the value 14.

Answer:

First Number: 2

Step-by-step explanation:

You need to work backwards, as an algebraic equation.

24 ÷ 3 = 8

8 ÷ 2 = 4

4 × 2 = 8

8 - 6 = 2

The first number is 2.

- Educationist

The value of the equation is A = x² ( 4 + x )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 4x squared + x cubed

Substituting the values in the equation , we get

A = 4x² + x³   be equation (1)

On simplifying the equation , we get

Taking the common factor as x² in the equation , we get

A = x² ( 4 + x )

Therefore , the value of A is x² ( 4 + x )

Hence , the factorized equation is x² ( 4 + x )

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