A rectangular pool is 6 feet by 12 feet. A 4 foot walkway is placed around the entire pool. What is the area of just the walkway?

PLEASEE HELP

Answer:

73.1 cm

Step-by-step explanation:

In the drawing, the rubber track is in black and the wheels are in light gray.

As we can see in the figure, the rubber track will have a length of two halfs of a circunference of radius 8 cm plus six diameters of 8 cm. So the total length is:

Length of rubber track = pi * 8 + 6 * 8 = 25.13 + 48 = 73.133 cm

Rounding to one decimal place, we have that the length is 73.1 cm

This question is incomplete because it lacks the diagram of the 4 circular wheels.

Find attached to this answer the appropriate diagram

Answer:

100.5cm

Step-by-step explanation:

The formula to be used in this calculation is the circumference of a circle.

The circumference of a circle can be defined as the actual length of a circle when it is stretch out(opened up) or the distance around a circle.

The formula for the circumference of a circle is given as 2πr where r = radius of the circle

Or πD where D = Diameter of the circle

In the question, we are given the diameter of the circle = 8cm

So we use the Formula

= πD

The length of the rubber track around one wheel is

= π × 8cm = 25.132741229cm

From the attached diagram, we can see we have 4 wheels.

The length of the rubber track that goes around the four wheels is calculated as

4 × 25.132741229cm = 100.53096491cm.

Approximately to one decimal place = 100.5cm

Therefore, the length of the rubber track that goes around the four wheels to one decimal place is 100.5cm

y = x ( x-6) ^2

--------------

x-6

The domain is the values that x can take

The denominator cannot be zero

x-6 cannot equal zero

x-6 =0

x=6

X can be all values but 6

x | x cannot equal 6

To find the x intercepts, set y =0

This means the numerator is equal to zero

0 = x ( x-6)^2

Using the zero product property

x=0 (x-6)^2 =0

x =0 x-6 =0

x=0 x=6

but 6 is not in the domain so x cannot equal 6

The only x intercept is 0

Answer:

You would do this 4545 - 3414 = to get the answer which is 1131 feet

Step-by-step explanation:

Hope it helps

Jerry will able to make 3 pancakes if he has 4 1/2 cup of strawberry from which he make use of 3/4 strawberry to make breakfast smoothie and he need 1 1/4 cup of strawberries to make one pancake.

Total strawberry Jerry has = 4 1/2 cup = 9/2 cups

Strawberry used to make smoothies = 3/4 cup

Remaining strawberries

= 9/2 - 3/4

= (18-3)/4 = 15/4

To make one pancake, Jerry needs = 1 1/4 cup = 5/4 cup

Number of pancakes Jerry can make = 15/4/5/4 = 3 pancakes

Hence, the number of pancakes, Jerry can make is 3

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Assuming the population is in Hardy-Weinberg equilibrium, the individuals have green hair are equal to 91% .

From the data present in problem,

Hardy and Weinberg proved mathematically that in a population all dominant and recessive alleles include all alleles for a given gene. Mathematically, denoted as p + q = 1.0

Where, p = frequency of dominant alleles (C)

q = frequency of recessive alleles (c) = 0.3

Number of population individua's = 100

Hardy and Weinberg described all the possible genotypes for a gene with two alleles. The binomial expansion representing this is,

p² + 2pq + q² = 1.0

Where, p² = proportion of homozygous dominant individuals (Green)

• q² = proportion of homozygous recessive individuals (White)

2pq = proportion of heterozygotes (Green)

Since, p+ q = 1.0

=>p = 1 - q = 1 - 0.3 = 0.7

=>p = 0.7

The genotypic frequencies are as follows:

CC (p²) = (0.7) = 0.49

Cc (2pq) = 2x(0.3)(0.7) = 0.42

cc (9²) = (0.3)² = 0.09

p² + 2pq + q² = (0.49) + (0.42)+(0.09)= 1.0

The expected number for each genotype are as follows: CC (p²) = (0.49×100) = 49

Cc (2pq) = (0.42×100)= 42

cc(q²) = (0.09×100) = 9

The number of individuals have green hair is as follows: (p²)+(2pq) = 49+42= 91

Thus, required individuals percentage is 91%.

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The missing lengths are AC = 3√2 ≈ 4.23 and AB = 3√2 ≈ 4.23.

To find the missing lengths of ΔABC, we can use the properties of a 45-45-90 triangle. A 45-45-90 triangle is a special type of right triangle in which the two legs are congruent and the angles are 45°, 45°, and 90°. The ratio of the sides in a 45-45-90 triangle is 1:1:√2, where the hypotenuse is √2 times the length of each leg.

Since we are given that BC = 6 and ∠A and ∠B are both 45°, we can conclude that ΔABC is a 45-45-90 triangle. Therefore, the lengths of AC and AB are both equal to the length of BC, which is 6.

AC = 6
AB = 6

To find the lengths in simplest radical form, we can multiply the lengths of AC and AB by √2/√2 to get:

AC = 6 * √2/√2 = 6√2/2 = 3√2
AB = 6 * √2/√2 = 6√2/2 = 3√2

To find the approximations correct to two decimal places, we can use a calculator to find the decimal values of 3√2:

AC ≈ 3 * 1.41 = 4.23
AB ≈ 3 * 1.41 = 4.23

Therefore, the missing lengths are AC = 3√2 ≈ 4.23 and AB = 3√2 ≈ 4.23.

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ANSWER:

STEP-BY-STEP EXPLANATION:

We must interpret each sentence mathematically, just like this:

Less then would be a subtract

Product would be a multiplication

No more than would be equal or less than

Answer:        

.2n-7≤95

.2n≤102

n≤510

hope this helps

The absolute maximum value of f(x)=2x³ +3x² +1 on the closed interval [-3, 1] is 6, which occurs at x=1.

To find the absolute maximum value of the function f(x) on the closed interval [-3, 1], we need to evaluate the function at the endpoints of the interval and at any critical points in the interior of the interval.

First, we evaluate the function at the endpoints of the interval

f(-3) = 2(-3)³ + 3(-3)² + 1 = -17

f(1) = 2(1)³ + 3(1)² + 1 = 6

Next, we find the critical points of the function f(x) by taking its derivative and setting it equal to zero

f'(x) = 6x² + 6x

6x(x+1) = 0

x = 0 or x = -1

Now we evaluate the function at these critical points

f(0) = 1

f(-1) = 2(-1)³ + 3(-1)² + 1 = 2

Therefore, the absolute maximum value of f(x) on the closed interval [-3, 1] is 6, which occurs at x=1.

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The given question is incomplete, the complete question is:

Let f be the function given by f(x)=2x³ +3x² +1. What is the absolute maximum value of f on the closed interval [-3,1] ?

Answer:

Mike ran half way to school walked to school and ran the rest

Step-by-step explanation:

If \(f(x+1) = x^2 - 1\), then

\(f(x) = f((x - 1) + 1) = (x - 1)^2 - 1\)

Similarly,

\(g(x + 1) = x^2 + 1 \implies g(x) = g((x-1) + 1) = (x-1)^2 + 1\).

Then

\(f(x) + g(x) = \bigg((x-1)^2 - 1\bigg) + \bigg((x-1)^2 + 1\bigg) = \boxed{2(x-1)^2}\)

Answer:

99

Step-by-step explanation:

cuz its correct

Answer:

slop = 2/3

Step-by-step explanation:

slope = rise/run

Start at the lower left point (-2, -1).

We need to go to the upper right point (4, 3) by going only vertically (rise) and horizontally (run).

First we go up 4. The rise is 4.

Then we go right 6. The run is 6.

slope = m = rise/run = 4/6 = 2/3

slope = 2/3

Given function is

Putting x=0, we have,

Hence, the y intercept is (0,-7).

To find the x intercept, let us solve teh equation

It gives

But this equation has no solution.

Hence, the x intercept is NONE

Answer:

see below

Step-by-step explanation:

4x-7=13

Add 7 to each side

4x-7+7 = 13+7

4x=20

Divide each side by 4

4x/4 = 20/4

x = 5

Answer:

x=5

Step-by-step explanation:

\(\hookrightarrow 4x-7=13 \\\\\hookrightarrow 4x=13+7\\\\\hookrightarrow 4x=20\\\\\hookrightarrow x=20/4\\\\\hookrightarrow x=5\)

Answer:

Correct choices: 2 and 4

Step-by-step explanation:

These two line segments have a positive slope.

Answer:

Choice B and D!

Step-by-step explanation:

Interval 2 goes up after going at a constant rate and interval 4 goes up from decreasing

Answer: 1 ticket = 70 cents.

Step-by-step explanation:

If you get 20 tickets for 14.00, then we have to divide 14 by 20.

14 ÷ 20 = 0.7, or 70 cents. Because of this, each ticket will cost 70 cents.

Total number of cases possible when 3 Dice roll= 6^3=216

Now we have to find the number of cases when values shown on two of the dice sum to the value shown on the remaining, probability is 0.28

Now we need to count the instances where the values on two dice add up to the value on the other die, which is one. If a die shows 6, the remaining two dice must either show (5,1) or (4,2), or (3,3)

Total number of scenarios that could occur in this situation: 3!+3!+3!/2!=15

2. If a die shows 5, the other two dice must either display (4,1) or (3,2)

The total cases that could occur in this scenario are 3!+3! =12.

3. If a die shows 4, the other two dice must either display (3,1) or (2,2)

Total number of scenarios that could occur in this situation: 3!+3!/2!=9

4. If a die shows 3, the other two dice must also show 3. (2,1)

The total number of cases possible in this scenario= is 3!/2! =3

Total cases possible= 15+12+9+6+3=45

Probability= 45/216=5/24= 0.208

probability is 0.208

correct option is (D).

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The question was incomplete. Check below the complete question.

Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining die?

(A) 1/6

(B) 13/72

(C) 7/36

(D) 5/24

(E) 2/9

3x + 6 - 6 = 9 - 6

3x = 3

x = 3/3

x = 1

check

3 * 1 + 6 = 3 + 6 = 9

Answer:

x=1

Step-by-step explanation:

3(1)+6=9

3+6=9

9=9

hope this helps

pls mark brainliest

Hey there!

284 * 45^3

= 284 * 45 * 45 * 45

= 284 * 2,025 * 45

= 284 * 91,125

= 25,879,500

Therefore, your answer is:

25,879,500

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The solutions to the equation \(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

To solve the equation \(2/x - 1 = 16/(x^2 + 3x - 4),\) we'll simplify and rearrange the equation to isolate the variable x. Here's the step-by-step solution:

1. Start with the given equation: 2/x - 1 = 16/(x^2 + 3x - 4)

2. Multiply both sides of the equation by x(x^2 + 3x - 4) to eliminate the denominators:

\(2(x^2 + 3x - 4) - x(x^2 + 3x - 4) = 16x\)

3. Simplify the equation:

\(2x^2 + 6x - 8 - x^3 - 3x^2 + 4x - 16x = 16x\)

4. Combine like terms:

  -x^3 - x^2 + 14x - 8 = 16x

5. Move all terms to one side of the equation:

\(-x^3 - x^2 - 2x - 8 = 0\)

6. Rearrange the equation in descending order:

  -x^3 - x^2 - 2x + 8 = 0

7. Try to find a factor of the equation. By trial and error, we find that x = 2 is a root of the equation.

8. Divide the equation by (x - 2):

\(-(x - 2)(x^2 + x - 4) = 0\)

9. Apply the zero product property:

  x - 2 = 0 or x^2 + x - 4 = 0

10. Solve each equation separately:

   x = 2

11. Solve the quadratic equation:

   For x^2 + x - 4 = 0, you can use the quadratic formula or factoring to solve it. The quadratic formula gives:

 \(x = (-1 ± √(1^2 - 4(1)(-4))) / (2(1)) x = (-1 ± √(1 + 16)) / 2 x = (-1 ± √17) / 2\)

Therefore, the solutions to the equation\(2/x - 1 = 16/(x^2 + 3x - 4) are x = 2 and x = (-1 ± √17) / 2.\)

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According to the perimeter of rectangle, the amount of area that the fencing does he need to go around the field is 11 3/5 miles

The general formula to calculate the perimeter of the rectangle is written as,

=> P = 2(l + b)

where l refers the length of the rectangle and b refers the width of the rectangle.

While we looking into the given question, we have identified that the following values are given in the question,

=> Length of field = 2 3/10 miles

=> Width of field = 3 1/2 miles

Now, we have to convert the mixed fraction into normal fraction, then we get,

=> Length of field = 23/10 miles

=> Width of field = 7/2 miles

Then the Perimeter is calculated as,

=> 2 (23/10 + 7/2)

=> 2 ([23 + 35)/10)

=> 2 x (58/10)

=> 2 x 5.8

=> 11.6 or 11 3/5 miles

Therefore, the length of fencing used to enclose the rectangular field is 11 3/5 miles

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Answer:

B

Step-by-step explanation:

Step-by-step explanation:

We have AB = 7, Angle ABC = 70°

and Angle ACB = 90°.

Angle BAC = 180° - 70° - 90° = 20°

(Sum of angles in a triangle = 180°)

Using Trignometry,

AC = 7sin70° = 6.58.

BC = 7cos70° = 2.39.

Answer:

A. The balloon is at its initial height

B. The boxer is 0 pounds from her starter weight

C. The company's size is smaller

Step-by-step explanation:

For A, -30+30 is equal to 0 so its gonna be the same height it was before.

For B, Gaining 7 pounds and losing 7 pounds means you are neither bitter or smaller. (-7+7=0)

For C, Losing 15 employees and gaining none means that there are less than there were previous meaning the company is now smaller.

Hope this helps.

Answer:

your mom is gay laugh at that

ok

Step-by-step explanation: SAWP

A forecast is defined as a(n) prediction of future values of a time series which is option B.

Using past data as inputs, forecasting is a process that produces accurate predictions of the future course of trends. Companies use forecasting to decide how to spend their budgets and make plans for forthcoming costs. Often, this is based on the anticipated demand for the provided goods and services.

Forecasting is a tool used by investors to predict if certain events, such sales projections, would raise or lower the price of a company's stock. For businesses that require a long-term view on operations, forecasting also offers an essential benchmark.

To predict how trends, like as the GDP or unemployment, will change in the upcoming quarter or year, equity analysts utilise forecasting. Lastly, statisticians may examine the probable effects of a change in business operations via forecasting. Data may be gathered, for example, on how altering company hours affects consumer happiness or how changing particular work conditions affects staff productivity.

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