JP Sports sold football boots on its first day of release. SoccerWorld sold 3 as many boots as JP Sports. DirectSportz sold 5 more boots than JP Sports. Each pair of football boots costs £70 The amount of sales from this particular boot totalled £7000
Work out how many pairs were sold by SoccerWorld.

Answer:

6 units to the right

Step-by-step explanation:

i added it to a graph.

Answer: You can use the distance formula to find the distance between any two points ion the plane. In this case, look carefully at the coordinates:

R(-1, 7) and T(-7, 7), Notice they both have y-coordinate 7. That means they are both on the same horizontal line. To find their distance, just subtract -7 from -1 and take the absolute value.

|-1 - (-7)| = |-1 + 7| = |6| = 6

The distance is 6 units

Step-by-step explanation:

m > 650 miles

A mileage over 650 miles makes company A cheaper than B.

1) Gathering the data

Company A

$127 (unlimited mileage)

Company B

$75 + 0.08m

2) To find out the mileage that makes Company A cheaper than Company B, we can write out the following:

3) Hence when we drive over 650 miles the Company A becomes cheaper than B.

Answer:

3.5

Step-by-step explanation:

add the two 5 and then subtract the perimeter which is 24 , so 24-10 is 14 then divide it by 4 for the missing sides and u get 3.5

The value of x in the given hexagon is 3.5 m.

Perimeter of Hexagon is equal to sum of all sides.

Here, Two sides are 5 m long

and remains 4 sides have length x m.

Perimeter = Sum of all sides

           24 = 2 X 5 + 4x

           24 = 10 + 4x

            4x = 24 -10

            4x = 14

            x = 14/4

            x = 3.5 m

Thus, the value of x in the given hexagon is 3.5 m.

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Answer:

I think its complementary

Answer:

2.3,2.03,2.003

Step-by-step explanation:

i need points

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: correct

Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.

B: incorrect

Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: incorrect

Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.

Therefore, A is the correct answer.

Answer:

what

Step-by-step explanation:

what do I help with?

the inverse of the given Function will be f⁻¹(x) = (x-6)/3.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Given a function f(x) = 3x +6

to calculate the inverse:

In our case, function:

f(x) = 3x +6

let f(x) be "y"

So,

y = 3x +6

Replace the variables

x' = 3y' + 6

3y' = x' -6

y' = (x' - 6)/3

Therefore, the inverse of the given Function will be f⁻¹(x) = (x-6)/3.

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The equation that represents a hyperbola with a center at (0, 0), a vertex at (−48, 0), and a focus at (50, 0) is (x^2 / 48^2) - (y^2 / b^2) = 1.

A hyperbola is a type of conic section with two branches that are symmetric to the x-axis and y-axis. The center of the hyperbola is given as (0, 0), which means the x-axis and y-axis intersect at the center. The vertex is given as (-48, 0), which is on the x-axis. This means that the hyperbola opens horizontally.

The standard form equation for a hyperbola with a horizontal transverse axis is (x^2 / a^2) - (y^2 / b^2) = 1, where a represents the distance from the center to the vertex, and b represents the distance from the center to the foci.

In this case, since the vertex is at (-48, 0), a = 48. The focus is given as (50, 0), which is 2 units to the right of the center. Therefore, c = 2. The relationship between a, b, and c for a hyperbola is given by the equation c^2 = a^2 + b^2.

Substituting the values into the equation, we have:
(2^2) = (48^2) + (b^2)
4 = 2304 + b^2
b^2 = -2300

Since b^2 is negative, this hyperbola does not exist. There is no equation that represents a hyperbola with the given conditions.

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Check the picture below.

\(\cfrac{1^2}{2^2}=\cfrac{110}{A}\implies \cfrac{1}{4}=\cfrac{110}{A}\implies A=440~in^2\)

Answer:

1/5 × 950

(2nd option)

Step-by-step explanation:

\(20\% = \frac{20}{100} = \frac{1}{5} \)

So 20% of 950 = 1/5 × 950

Answer:

2 hours 32 minutes

Step-by-step explanation:

Subtract.

If you could subscribe to my friend penny_pg3d on YT, that would be great! :)

Answer:

52.25 MPH

Step-by-step explanation:

Using the formula given D=RT we simply plug in values,

313.5=6R

313.5/6=R

52.25=R

Solution:

Given:

Rewriting the function, by applying the law of fractional exponents,

Hence,

The domain of a function is the set of all input values that make the function defined.

The function is undefined when the value of x under the root sign is less than zero because the square root of a negative number is complex.

Hence, the domain exists when x has a value greater than or equal to 0.

Therefore, the domain is;

The range of a function is the set of all output values that makes the function defined.

Hence, the range exists when y is lesser than or equal to minus 4 because a value of y greater than -4, makes the function and domain undefined.

Therefore, the range is;

Answer: 1/4

Explanation: Remember that the absolute value of a number is just the positive version of that number. So the absolute value of -1/4 is 1/4.

Answer:

7n = 12+ 3n

Step-by-step explanation:

The first thing to do is subtract 3n from 7n. This would get you 4n = 12. 4 times 3 equals 12, so n equals 3.

To check your answer. 21 = 12+9. sure enough it matches our answer

Answer: it is 29 dollars in total

Step-by-step explanation: hope its right, hope it helps, and ahve a good day!

If two triangles, A and B, are proportional, this means that exists some number k such that:

We know that:

Triangle A:

BaseA = 10cm

HeightA = 8cm

Triangle B:

BaseB = 15cm

HeightB = x

Then, we can find k by:

And solve:

Now that we know the value of k, we can find the unknown height:

Thus, the answer is:

The height of the second triangle is 12cm

9514 1404 393

Answer:

  15 days

Step-by-step explanation:

The cost for boarding is $18 each day. The cost for play-time is $6.75 each day. So, the charges for both add up to ...

  $18 +6.75 = $24.75

each day.

The manners lesson is a flat fee added to the daily boarding charges, so for d days, the total bill is ...

  $24.75·d +45.99 = 417.24 . . . . . equation relating days to cost

We solve this 2-step equation by first subtracting the constant on the left.

  $24.75·d = $371.25

Then we divide by the coefficient of the variable:

  d = $371.25/$24.75

  d = 15

Your dog stayed at the kennel 15 days.

Answer:

Uhh...how do you want me to answer this question??? Let me know so I can help ya out.

Step-by-step explanation:

Answer:

- 12x + 24

Step-by-step explanation:

Since the perimeter is 2(length) + 2(width) your equation would start out as:

2[-2(3x-1)] + 2(10x)

2[-2(3x-1)] + 20 = 2(-6x + 2) + 20

2(-6x + 2) + 20 = - 12x + 24

Hope this Helps!!! :)

Write your answer below:

Answer:

x=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

701.25 feet squared

Step-by-step explanation:

when you calculate the total area of the circle it comes to 1963.5ft

360 degrees divided by 130 degrees is 2.8 which means you need to divide the total area by 2.8 and the final answer comes to 701.25 feet squared

The derivative of y with respect to x using logarithmic differentiation is:

dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]



To find the derivative of y with respect to x using logarithmic differentiation, we follow these steps:

Step 1: Take the natural logarithm of both sides of the equation

ln(y) = ln(V^(x+1))

Step 2: Apply the power rule of logarithms to simplify the right-hand side

ln(y) = (x + 1)ln(V)

Step 3: Differentiate both sides of the equation with respect to x using implicit differentiation

d/dx(ln(y)) = d/dx((x + 1)ln(V))

Using the chain rule on the left-hand side, we get:

1/y * dy/dx = (d/dx(x + 1)) * ln(V) + (x + 1) * (d/dx(ln(V)))

Simplifying, we get:

dy/dx = y * [(d/dx(x + 1)) * ln(V) + (x + 1) * (d/dx(ln(V)))]

Step 4: Evaluate the derivatives

Since (d/dx(x + 1)) = 1 and (d/dx(ln(V))) = (d/dx(log(V))) = d/dx(1/V) = -1/(V * ln(10)) * d/dx(V), we can rewrite the derivative as:

dy/dx = y * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]

Step 5: Substitute the expression for y

Substituting the expression for y = V^(x+1), we get:

dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]

Therefore, the derivative of y with respect to x using logarithmic differentiation is:

dy/dx = V^(x+1) * [ln(V) - (x + 1)/(V * ln(10)) * d/dx(V)]

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Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

To determine which planks Amanda should use to build the triangular-shaped kennel:

Therefore, Amanda would use 3 planks of lengths 3 feet, 5 feet, and 6 feet.

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The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.; b. The turbine's power output is 353.86 kW.; c. The annual revenue generated is $185,925.60.

a. To calculate the power contained in the air swept by the 40-meter blades, we can use the formula for wind power: P = 0.5 × ρ × A × V^3, where P is power, ρ is air density, A is the swept area of the blades, and V is wind speed.

First, we need to find the swept area (A). Since the blades are 40 meters long, the area can be calculated as A = π × r^2, where r is the length of the blades (radius). A = π × (40)^2 = 5,026.55 m^2.

Now we can find the power contained in the air: P = 0.5 × 1.225 kg/m³ × 5,026.55 m^2 × (9 m/s)^3 = 1,769,292.45 watts.

b. If the turbine has an efficiency of 20%, its power output would be 20% of the energy contained in the wind: 0.2 × 1,769,292.45 watts = 353,858.49 watts or 353.86 kW.

c. To find the annual revenue, we first need to calculate the annual energy production in MWh: 353.86 kW × 24 hours × 365 days / 1,000 (to convert to MWh) = 3,098.76 MWh.

Now, multiply the energy production by the selling price: 3,098.76 MWh × $60/MWh = $185,925.60 in revenue per year.

In summary:
a. The power contained in the air swept by 40-meter blades is 1,769,292.45 watts.
b. The turbine's power output is 353.86 kW.
c. The annual revenue generated is $185,925.60.

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Answer:

f(x) = \(\frac{1}{7}(x+5)(x-1)(x-4)\)

Step-by-step explanation:

Let the equation of the give cubic function is,

f(x) = p(x - a)(x - b)(x - c)

Here, a, b, c and d are the x-intercepts of the given graph.

Since, x-intercepts given in the graph are x = -5, 1 and 4,

Equation of the curve will be,

f(x) = p(x + 5)(x - 1)(x - 4)

Since, the graph of this function passes through (2, -2) also

-2 = p(2 + 5)(2 - 1)(2 - 4)

-2 = -p(14)

p = \(\frac{2}{14}\)

p = \(\frac{1}{7}\)

Therefore, equation will be,

f(x) = \(\frac{1}{7}(x+5)(x-1)(x-4)\)