Please help my last tutor couldn’t and I don’t know what to do.

The graph of the function f(x) = 4(2/3)^x is added as an attachment

From the question, we have the following parameters that can be used in our computation:

f(x)=4⋅(

2

3

​)

x

Express the equation properly

So, we have

f(x) = 4(2/3)^x

The above expression is a an equation of a exponential function

Next, we plot the graph using a graphing tool

To plot the graph, we enter the equation in a graphing tool and attach the display

See attachment for the graph of the function

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9514 1404 393

Answer:

  1. asymptotes: x=-6, x=6, y=0; zero: x=0

  2. 20 blue fish

Step-by-step explanation:

1. The vertical asymptotes are where the denominator is zero. It factors as (x-6)(x+6), so will have zeros at x=-6 and x=6.

The horizontal asymptote is at the limit when x goes to infinity. Here, the ratio of highest-degree terms is 6/x, so the value goes to zero as x gets large.

The zero is where the numerator is zero, at x=0.

In summary:

__

2. 60% are red, so 40% are blue. The difference in percentages is 60%-40% = 20%. The percentage of blue fish (40%) is twice the difference (=2×20%), so the number of blue fish is twice the difference in numbers.

  blue fish = 2×10 = 20 fish

Check

There are then 20+10=30 red fish, so 20+30=50 fish total. Reds are 30/50 = 60% of the total.

Additional comment

I find it often works well to work with ratios, which I can often do in my head. Other folks like to see equations. Here, we could write equations like ...

  r = 60%(r + b) . . . . reds are 60% of the total

  r - b = 10 . . . . . . . . 10 more reds than blues

We want the value of b, so we can eliminate r by substituting for it:

  r = 10 + b . . . . from the second equation above

  (10 +b) = 0.60((10 +b) + b) . . . . substitute for r

  10 +b = 6 + 1.2b . . . simplify

  4 = 0.2b . . . . subtract b+6

  20 = b . . . . . . multiply by 5 (there are 20 blue fish)

Answer:

The Combined Volume is 9000 Cubic Inches

Step-by-step explanation:

First, volume is the multiplacation of the 3 measurements. So we just need to multiply the 3 sides then add the solution to itself to get the doubled value. This gives you 9000 cubic inches for the 2 coolers.

Answer:

f(7) = 92

Step-by-step explanation:

f(7) means what is the value of f(x) when x = 7

substitute x = 7 into f(x)

f(7) = 2(7)² - 6 = 2(49) - 6 = 98 - 6 = 92

Answer: 5/7 of the kids chose New York or L.A.

Step-by-step explanation:

All you need to do in this problem is add the fraction of people that chose New York and the fraction of people that chose L.A:

4/7 + 1/7 = 5/7

Answer:

Equation of line is given as y = mx + c, where m is the gradient and c is the y-intercept.

First find the gradient.

Formula of gradient is given as (y2-y1)÷(x2-x1) or (y1-y2)÷(x1-x2)

Gradient = (-1-(-2))÷(3-(-2))

= (-1+2)÷(3+2)

= 1/5

Equation is y = 1/5 + c

Substitute either one of the points into the equation to find c.

-2 = 1/5(-2) + c

c = -8/5

Hence equation of the line is y = 1/5x - 8/5

f(x) = 4 means "y=4".

If you draw in y=4 as a line on the graph, you're looking for points where the f(x) graph hits y=4.  (see picture below)

This happens at one point and the x-value of that point is -2.

-2 is the only x-value where this happens.

The correct question is;

Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.

a. Write a linear function that represents the remaining money owed L(x) after x months.

b. Evaluate L(10) and interpret the meaning in the context of this problem.

A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his

grandfather after 10 months.

B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his

grandfather after 10 months.

C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his

grandfather after 10 months.

D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his

grandfather after 10 months.

Answer:

A) L(x) = 2400 - 200x

B) Option D is correct

Step-by-step explanation:

A) We are told that Joey borrowed 2400.

Now he pays back in installments of 200 every month.

Thus for x number of months he would have paid 200x.

Thus,the linear function that represents the remaining money owed is;

L(x) = 2400 - 200x

B) L(10) = 2400 - (200 * 10)

L(10) = 2400 - 2000

L(10) = 400

Thus, after 10 months, Joey is owing 400.

So, looking at the given options, the correct one is option D.

Answer:

n₁  > n₂     Sample size of the first sample is bigger

Step-by-step explanation:

CI = 95 %    α = 5 %     α = 0,05

We know the bell shape curve of the normal distribution is symmetrical with respect to the mean, therefore we only need to evaluate one tail of the samples

Then from z-table we find   z(c)  =  1,64

CI   =  (  μ₀ - z(c)*σ /√n   <  X  <   μ₀ + z(c)*σ /√n )

So we must compare the tails of the two CI

Let´s call  n₁    and   n₂   the samples size of two different samples

The CI of the samples begins at

sample 1       μ₀ - z(c)*σ /√n₁        and for sample 2    μ₀ - z(c)*σ /√n₂      

that means   51,7  =  μ₀ - z(c)*σ /√n₁     (1)

and                49,1  =   μ₀ - z(c)*σ /√n₂     (2)

Where   μ₀ ;  z(c) = 1,64 ;  σ  are equal in both equations

Now by simple inspection, we note that the second term on the right side of the second equation should be bigger than the second term on the right side of  the first equation

then    

z(c)*σ /√n₂   >  z(c)*σ /√n₁

Then   n₂    need to be smaller than  n₁

n₁  > n₂

Answer:the answer is 319.857 and round to 320

Step-by-step explanation:

There was 4 dollar of discount on the total amount.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that Adrian bought a jacket that costs 11 dollars and a scarf that costs 15 dollars.

At the counter, he received a discount. If he only paid 22 dollars total, then

Total cost 11 + 15 = 26

But 26 - 22 = 4

Therefore, the discount was 4 dollar.

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The price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

The cost price of a certain product plus the profit margin earned by the manufacturer equals the wholesale price.

Given:

The wholesale price for a shirt is $5.50,

The markup price  = 90%

Calculate the markup price as shown below,

The markup price  = 90% of $5.50

The markup price  = 90 / 100 × 5.50

The markup price  = $4.95

Calculate the price of the shirt as shown below,

The price of a shirt = The markup price  + The wholesale price of the shirt

The price of a shirt =  $5.50 + $4.95

The price of a shirt =  $10.45

Therefore, the price of the shirt if The wholesale price for a shirt is 5.50 and A certain department store marks up the wholesale price by 90% is  $10.45.

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Answer:

b

Step-by-step explanation:

Suggest that you and your boss schedule regular check-ins at lunchtime and at the end of the day

Keep smiling and have a nice day :)

Answer:

i think it is :

5×5×5=125

2×2×2=8

Answer:

29.3 degrees

Step-by-step explanation:

90 - 60.7 = 29.3 degrees

It will take approximately 349.1 second for the ball with diameter of 10 to deflate.

The formula for a sphere's volume is, V = (4/3)πr³ where V is the sphere's volume, r is its radius, and (pi) is a mathematical constant roughly equal to 3.14. According to this equation, a sphere's volume is equal to four-thirds of the sum of its radius's cube and the value of pi. In geometry and physics, this method is used to determine the volume of spherical objects like planets, balls, and bubbles.

The volume of a sphere is given as:

V = (4/3)πr³

Substituting the values:

V = (4/3)π(5)³ = 523.6 cubic inches

The rate is given as:

V = rt

Solving for t for the given rate we have:

t = V/r = 523.6/1.5 = 349.1 seconds

Hence, it will take approximately 349.1 seconds (or about 5.8 minutes) for the ball to deflate.

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The total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6) has been found as  51 square units.

A graph is described as a mathematical representation of a network and it describes the relationship between lines and points.

The first step is to divide the figure is into two rectangles and a triangle.

we notice that the points B, C, E, and F will form a rectangle with base BC and height of 7 units.

We also notice that the  points A, D, and G form a rectangle with base AG and height 5 units.

we notice that  points C, D, and E form a triangle with base CE and height 4 units.

we notice that the  length of BC is 4 - 4 = 0, therefore  the area of the rectangle with base BC is 0.

The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.

In conclusion, the total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6)  is 45 + 6 = 51 square units.

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hi there! heres my answer for you...

Answer:

you started at (-5, 4)

Step-by-step explanation:

do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.

hope this helps. have a good one!

The coordinate of the point from where we started will be (1, -2).

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

You move up 1 unit and down 7 units. You end at (-5, -2).

Let the initial coordinate be (x, y). Then the transformation is written as,

(-5, -2) → (x + 1 - 7, y)

Compare the abscissa, then we have

- 5 = x + 1 - 7

x = - 5 - 1 + 7

x = 1

Compare the ordinate, then we have

y = -2

Then the coordinate of the point from where we started will be (1, -2).

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The base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

To determine how fast the top of the ladder is sliding down the wall when the base is 30 feet from the wall, we can use the Pythagorean theorem and implicit differentiation.

Step 1: Set up the Pythagorean theorem for the ladder, wall, and ground.
Let x be the distance between the base of the ladder and the wall, and let y be the height of the top of the ladder above the ground. Since the ladder has a length of 50 feet, we have:

\(x^2 + y^2 = 50^2\)

Step 2: Differentiate both sides of the equation with respect to time (t).
Using implicit differentiation, we get:

2x(dx/dt) + 2y(dy/dt) = 0

Step 3: Plug in the given values and solve for dy/dt.
We are given that dx/dt = 8 ft/s (the base is being pulled away from the wall) and x = 30 ft. To find y, plug x = 30 into the Pythagorean theorem equation:

\(30^2 + y^2 = 50^2

y^2 = 50^2 - 30^2\)

y = √(2500 - 900) = √1600 = 40

Now plug in the values of x, y, and dx/dt into the differentiated equation:

2(30)(8) + 2(40)(dy/dt) = 0

Step 4: Solve for dy/dt.
480 + 80(dy/dt) = 0
80(dy/dt) = -480
dy/dt = -480 / 80 = -6

So, when the base of the ladder is 30 feet from the wall, the top of the ladder is sliding down the wall at a rate of 6 feet per second.

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ANSWER

EXPLANATION

1) To find the new wage per hour, we have to first find 4% of his former wage and add it to the former wage.

That is:

Now, add it to the former wage:

That is his new wage.

Answer:

i dont see it

Step-by-step explanation:

Answer:

-11/70

Step-by-step explanation:

Rearrange it first, we got:

-2/5 x -3/7 -3/5 x 3/7 -1/14

Then:

=2/5 x3/7 -3/5x3/7 -1/14

Next:

(2/5-3/5) x3/7 -1/14

=(-1/5)x3/7 -1/14

=(-3/35)- 1/14

=(-6/70)-5/70

=-11/70

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:107

Step-by-step explanation:

749 ➗ 7=107

Answer:

Hello There. ☆~---_●₩●__---☆~ The students in each grade, that way it wont focus just on one group like the club, the teachers, or the boys.

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ItsNobody~ ☆

The value of the expression, 8 + (18 ÷6) x (2 x 9 - 4) is 50.

The order of operations gives a guideline with which mathematical operations are solved. The order of operations are provided using the BODMAS rule.

According to BODMAS, the order of operations are brackets, of, division, multiplication, addition and subtraction.

The expression is:

8 + (18 ÷6) x (2 x 9 - 4)

The terms in the bracket would be solved first :

(18 ÷6) = 3

(2 x 9 - 4)

The multiplication would be solved first, then 4 would be subtracted from the result of the multiplication : 18 - 4 = 14

The expression becomes: 8 + 3 x 14

The multiplication would be solved first and then 8 would be added to the result: 8 + 42 = 50

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Answer:

360 people

Step-by-step explanation:

\(\frac{ 210}{525}*900\)\(=360\)

Hope this helped! :)

The misleading about the data shown on the figure is the clas width

From the question, we have the following parameters that can be used in our computation:

The histogram

On the histogram, we have the following readings

From the above, we can see that

The above readings are not consistent i.e. the class widths are not equal

Hence, the misleading about the data shown on the figure is the clas width

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