[tex]log_{9}log_{2}log_{2}256[/tex]

Answer: 1.5ft/seconds

Step-by-step explanation:

From the question, we are informed that a loon is a bird that dives in the ocean for its food and that it can dive to a depth of 12ft in 8 seconds.

The amount of feet it dive per second will be gotten by dividing 12ft by 8 seconds. This will be:

= 12ft / 8sec

= 1.5ft/seconds

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Answer:

  x = 9

Step-by-step explanation:

The applicable rule of logarithms is ...

  log(a) -log(b) = log(a/b)

__

Use the rules of logarithms to simplify the left side to a single log, then take the antilogs and solve the resulting equation.

  log(x+1) -log(x-8) = log(10)

  log((x+1)/(x-8)) = log(10)

  (x +1)/(x -8) = 10 . . . . . . . take antilogs

  x +1 = 10(x -8) . . . . multiply by x-8

  81 = 9x . . . . . . . add 81-x, simplify

  9 = x . . . . . . . . . divide by 9

_____

When the equation is rewritten to the form f(x) = 0, the x-intercept is the solution.

Answer: it would be the fourth one with the line going straight across the top

Step-by-step explanation: To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x.

If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

The fourth graph represents a function as per the vertical line test.

To determine the function:

Simply draw a vertical line through the graph to find the number of times the function's graph is intersected by the vertical line to determine this.

The graph is said to represent a function if the vertical line only crosses it once at any given location on the graph.

A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output.

There is a range, co-domain, and domain for every function.

As per the given graphs,

the first three graphs do not represent a function.

only the fourth graph represents a function.

To learn more about the function;

brainly.com/question/28303908

#SPJ7

Answer:

97.35%

Step-by-step explanation:

Empirical rule formula states:

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

From the question, we have the mean of :

Mean of 56 and a standard deviation of 10.

For 36

36 = μ - xσ

36 = 56 - 10x

56 - 36 = 10x

20 = 10x

x = 20/10

x = 2

Hence, the data falls within 2 standard deviation of the mean

Hence, since it is one side,

= 95%

= 47.5%

For 86

86 = μ - xσ

86 = 56 - 10x

56 - 86 = 10x

-30 = 10x

x = -30/10

x = -3

Hence, the data falls within 3 standard deviation of the mean

Hence, since it is 99.7% one side,

= 99.7%

= 49.85%

Hence, we add up

= 47.5% + 49.85%

= 97.35%

The approximate percentage of 1-mile long roadways with potholes numbering between 36 and 86 is 97.35%

Answer:

5,3

Step-by-step explanation:

Took on Ed

Answer:

5,3

Step-by-step explanation  

Vector PQ in component form is 2,4 (5-3),(7-3)

Vector RS in component form is -3,1

After subtracting -3,1 from 2,4 you get 5,3

Answer: 5,3

Answer:

21

Step-by-step explanation:

Answer:

411

Step-by-step explanation:

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Answer:

  -3

Step-by-step explanation:

The "b" is the y-intercept in the slope-intercept form ...

  y = mx + b

Filling in the given values, we can find b.

  -1 = (2/3)(3) +b

  -1 = 2 + b . . . . simplify

  -3 = b . . . . . . . subtract 2

The value for b is -3.

Step-by-step explanation:

y = 9x - 70 ...1

y = 2x - 32 ...2

...1 - ...2

0 = 7x -38 ...3

7x - 38 = 0

7x = 38

x = 38/7

Answer:

w=1.5 or w=13.5

Step-by-step explanation:

this is one answer:

multiply w on both sides to leave u with

4.5=3w

divide both sides by 3

[tex]\frac{4.5}{3}=\frac{3w}{3}[/tex]

1.5=w

_____________________

this is the second one if the first one is wrong:

multiply 4.5 on both sides so that the 4.5/w would leave u with just only w alone.

then 3*4.5=13.5

w=13.5

hope dis helps if not then im not dat smart enough ;?

Answer:

$15.22

Step-by-step explanation:

Given that :

Cost of NFL game = $60

Amount Rico has in bank account = $24.78

Amount earned for mowing lawn = $20

Amount needed more to buy the game :

Total amount Rico has :

Cost of NFL game - (Amount in bank + amount earned for mowing)

$60 - ($24.78 + $20)

$60 - $44.78

= $15.22

Amount needed more to purchase the game = $15.22

Answer: it's $550.57

Step-by-step explanation:

Complete question :

Cheddar Cheese

$3/lb

Swiss Cheese

$5/lb

Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar cheese and Swiss cheese. How many pounds of cheese can Keisha get if she buys only Cheddar cheese? Only Swiss cheese? A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Answer:

10 lbs of cheddar cheese

6 lbs of Swiss cheese

$3a + $5b = $30

Step-by-step explanation:

Given that :

Cheddar cheese = $3/lb

Swiss cheese = $5/lb

Total amount budgeted for cheese = $30

How many pounds of cheese can Keisha get if she buys only Cheddar cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of cheddar cheese

$30 / 3 = 10 pounds of cheedar cheese

Only Swiss cheese?

Pounds of cheedar cheese obtainable with $30

Total budget / cost per pound of Swiss cheese

$30 / 5 = 6 pounds of Swiss cheese

A mixture of both cheeses?

What linear equation in standard form can she use to model the situation?

Let amount of cheddar cheese she can get = a

Let amount of Swiss cheese she can get = b

Hence,

(Cost per pound of cheddar cheese * number of pounds of cheddar) + (Cost per pound of Swiss cheese * number of pounds of Swiss cheese) = total budgeted amount

(3 * a) + (5 * b) = $30

$3a + $5b = $30

Answer: 23 / 24

Step-by-step explanation:

Given that:

Fraction of flowers for sale = 5/8

Fraction of shrubs for sales = 1/3

Amount of flowers that are either flowers or shrubs :

(Fraction of flowers +. Fraction of shrubs)

(5/ 8 + 1 /3)

L.C.M of 8 and 3 = 24

= (15 + 8) / 24

= 23 / 24

Answer:

where is the rhombus

Step-by-step explanation:

Answer:

1. 24%

2. 30%

3. 30%

Step-by-step explanation:

1. 100%/25= 4%   4%*6=24%

2. 100%/50= 2% 2%*15=30%

3.  100%/40=2.5% 2.5%*12= 30%

Answer:

Step-by-step explanation:

Step one:

given data

total amount = $100

cost of cake=$30

cost of balloon=$20

let the cost of 1 cup be x

so cost of ten cups = 10x

Step two:

The expression for the total amount is given as

100=30+20+10x

100=50+10

100-50=10x

50=10x

divide both sides by 10

x=50/10

x=$5

the cost of one cup is $5

the cost of ten cups is 5*10= $50

Answer:

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Step-by-step explanation:

Lets solve!

We have to find out how much of the candle needs to be burned!

14cm - 6cm = 8cm

The candle must burn 8cm in 4 hours!

Lets find out how much the candle burns in 1 hour.

[tex]\frac{8cm}{4hours}[/tex]= 2cm per hour

The candle must burn at 2cm per hour in order to be 6cm tall after 4 hours. I know this because the candle has to burn 8cm in 4 hours and that amounts to 2cm per hour.

Woohoo, We did it! Would you like to mark my answer as brainliest? I would love that!

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Answer:

Step-by-step explanation:

The y-intercepts are 0 and -7, so the vertical intercepts are not the same.

The one that is 0 represents a proportional relation; the one that is -7 represents a non-proportional relation. So, one is proportional and the other is not.

The x-coefficient is 2 in both cases, so the equations have the same slope of 2. Since the slopes are the same and the y-intercepts are different, the lines are parallel to each other.

Each is the equation of a line, so both functions are linear.

[tex] \: \: \: \: \: \: \: \: (5x - 2) + (4x + 6) \\ \\ = > 5x - 2 + 4x + 6 \\ \\ = > 5x + 4x - 2 + 6 \\ \\ = > \green{\boxed { 9x + 4}}[/tex]

Answer:

9x+4

Step-by-step explanation:

First, remove the unnecessary parentheses from (5x-2)+(4x+6) making it 5x-2+4x+6 because when there is a + in front of an expression in parentheses, the expression remains the same.

Next, collect like terms, turning 5x-2+4x+6 into 9x-2+6.

Now, calculate the sum and you should get 9x+4.

Answer:

the answers are all in the picture

Step-by-step explanation:

Lmk if you need more explaining :)

Answer:

The answer is 2 songs and the solution is 7.

Step-by-step explanation:

1. Make an equation for each club. The 1st choice music club equation is 5+1x and the Music Club equation is 3.50x.

2. Go down the number line starting with 1 and replace x with that number and solve the equation until you get the same number on each side with the same replacement number.

3. So, 5+1x becomes 5+1(2) and that would equal 7. Then do 3.50x becomes 3.50(2) and that would also equals 7.

Note: When a number has a number next to it in parentheses then that means to have to multiply first. If you don't then you will get the wrong answer.

Answer:

$1.85

Step-by-step explanation:

Simple Subtraction!

$3.50 - $1.65 = $1.85

$1.85

Answer:

1). 23, 8, 5, 10

2). x = 4

3). 18

4). 71

5). 48

6). 68

7). Look at picture

x = 7, y = 12 .... just sub the values of x and y into the appropriate spaces to find the other side lengths

Explanation:

1.

They are congruent triangles, therefore the measurements would be the same

2.

24x - 19 = 16x +13

8x = 32

x = 4

3.

8x - 37 = 5x + 17

3x = 54

x = 18

4.

4x + 19 = 6x - 7

2x = 26

x = 13

MN: 4x + 19

(4*13) + 19

= 71

5.

2x = 14

x = 7

CD: 7x - 1

(7*7) - 1

= 48

6.

3x + 4 = 5x -16

2x = 20

x = 10

JM = 3x + 4

= 34

ML = 34 (congruent triangles have same measurements)

34 + 34 = 68

Answer:

The answer is x = -7

Answer:

2^x = 16

Step-by-step explanation: