The cost of 3 paninis and 2 drinks is £12 The cost of 7 paninis and 2 drinks is £20. how much does panini and drinks cost​

Explanation

Step 1

find the inverse of the function

a) let

now, swap the variables and isolate

find the DOMAIN of the inverse, this would be the range for f(x)

so

therefore, the range of f(x)

Step 2

Now, as the range of a functino is the domain of its inverse,

the range of the inverse will be the domain of f(x), hence

a) find the domain of f(x)

the domains is all real numbers except the number/s that make the denominator equals zero,s o

therefore, the range of the inverse function is

I hope this helps you

Answer: .416666667

Step-by-step explanation: Take 80 and divide it by 192.0= .416666667

Ok, the range is the set of values that the function can take in y, so according to the graph in this case it is:

Answer: (x,y) = (-6, 6)

Step-by-step explanation: I'm not very good at explaining but if you you follow this equation, (x1-x2, y1-y2) with (x1,y1) (5,5) and (x2,y2) being the function, that's how you get (-1,11)

Answer:

62

Step-by-step explanation:

please mark me brainliest!!!

The function in variable w giving the cost C (in dollars) of constructing the box is C(w) = 30w² + 270/w. The result is obtained by using the formula of volume and area of the box.

We have a rectangular storage container without a lid.

The formula of volume of the box is

V = l × w × h

Where

So, the height is

10 = 2w × w × h

10 = 2w² × h

h = 10/2w²

h = 5/w²

To find the total cost, calculate the area of base and sides of the box!

See the picture in the attachment!

The base area is

A₁ = 2w × w = 2w² m²

The sides area is

A₂ = 2(2wh + wh)

A₂ = 2(3wh)

A₂ = 6wh

A₂ = 6w(5/w²)

A₂ = 30/w m²

The total cost is

C = $15(2w²) + $9(30/w)

C = $30w² + $270/w

The function of the total cost is

C(w) = 30w² + 270/w

Hence, the function of constructing the box is C(w) = 30w² + 270/w.

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The volume of the solid obtained by rotating the region bounded by the curves about the x-axis is π/77 (243 - 9sqrt(3)).

To find the volume of the solid obtained by rotating the region bounded by the curves about the x-axis, we can use the method of cylindrical shells. This involves integrating the circumference of a cylindrical shell times its height to obtain the volume of each shell, and then adding up the volumes of all the shells to get the total volume.

First, let's find the points of intersection of the two curves:

2/7 x^2 = 9/7 - x^2

9/7 = 9/7 x^2 + 2/7 x^2

9/7 = 11/7 x^2

x^2 = 9/11

x = ±sqrt(9/11)

The solid we obtain by rotating this region about the x-axis will have cylindrical shells with height dx, radius x, and circumference 2πx. Therefore, the volume of each shell will be:

dV = 2πx × h × dx

where h is the difference between the y-values of the curves at x:

h = (9/7 - x^2) - (2/7 x^2) = 9/7 - 9/7 x^2

Therefore, the total volume of the solid will be:

V = ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) 2πx * (9/7 - 9/7 x^2) dx

V = 2π/7 ∫(from x = -sqrt(9/11) to x = sqrt(9/11)) x(9 - 9x^2) dx

We can simplify the integrand by setting u = 9x^2:

du/dx = 18x

dx = du/18x

Substituting:

V = 2π/7 ∫(from u = 9/11 to u = 81/11) (1/2)u^(1/2) (9/2) (du/18x)

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / x du

V = π/7 ∫(from u = 9/11 to u = 81/11) u^(1/2) / sqrt(9/11 - u/11) du

This integral can be evaluated using a trigonometric substitution. Let u = 9/11 sin^2 θ, then:

du/dθ = (18/11) sin θ cos θ dθ

Substituting:

V = π/7 ∫(from θ = π/6 to θ = π/2) (81/121) sin^3 θ dθ

V = π/7 [(81/121) * (3/4) - (9/121) × (sqrt(3)/2)]

V = π/77 (243 - 9sqrt(3))

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The fuel price increase for Namibia from 05/06/2019 to 01/03/2021 is 0.08 US dollars.

To calculate the fuel price increase for Namibia from 05/06/2019 to 01/03/2021, we need to subtract the fuel price on 05/06/2019 from the fuel price on 01/03/2021.

Fuel price increase = Fuel price on 01/03/2021 - Fuel price on 05/06/2019

Given the fuel prices in US dollars for Namibia:

Fuel price on 05/06/2019 = 0.80 US$

Fuel price on 01/03/2021 = 0.88 US$

Fuel price increase = 0.88 US$ - 0.80 US$

= 0.08 US$

Therefore, the fuel price increase for Namibia from 05/06/2019 to 01/03/2021 is 0.08 US dollars.

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Answer:

-5x > 10

Step-by-step explanation:

1. We know that when -14 thrown to the right hand side, it will turn to +14

2. +14 -4 = +10

3. Left hand side will remain -5x

4. Hence, -5x > 10

5. and the equation divided by -5, the > sign will change to <

6. x< -2

7. Since you're finding the missing step so it's -5x > 10

The values are: -9, 7, -2, Undefined, Undefined, 8, Undefined, Undefined.

Let's match each expression with its corresponding value:

Expression: -9

Value: -9

Expression: 7

Value: 7

Expression: -2

Value: -2

Expression: Undefined

Value: Undefined

Expression: h(3.999)

Value: Undefined

Expression: h(4)

Value: 8

Expression: h(4.0001)

Value: Undefined

Expression: h(9)

Value: Undefined

Now let's explain the reasoning behind each value:

The expression -9 represents the number -9, so its value is -9.

Similarly, the expression 7 represents the number 7, so its value is 7.

The expression -2 represents the number -2, so its value is -2.

When an expression is labeled as "Undefined," it means that there is no specific value assigned or that it does not have a defined value.

For the expression h(3.999), its value is undefined because the function h(x) is not defined for the input 3.999.

The expression h(4) has a value of 8, indicating that when we input 4 into the function h(x), it returns 8.

Similarly, the expression h(4.0001) has an undefined value because the function h(x) is not defined for the input 4.0001.

Lastly, the expression h(9) also has an undefined value because the function h(x) is not defined for the input 9.

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The probability that at least 11 calls reach a live person, using the Normal approximation, is approximately 0.2206 or 22.06%.

To determine whether we can use the Normal approximation, we need to check if the conditions for applying the Normal distribution to a binomial distribution are met:

Randomness: The poll calls residential telephone numbers at random, which satisfies the condition.

Independence: Each call is independent of the others. This condition is generally satisfied if the sample size is no more than 10% of the population. Since the population of residential telephone numbers is usually large, this condition is likely met.

Success-Failure: The number of calls reaching a live person can be considered a "success" or "failure." In this case, the probability of success (a call reaching a live person) is 15%, and the probability of failure (a call not reaching a live person) is 85%. To apply the Normal approximation, both np (expected number of successes) and n(1-p) (expected number of failures) should be at least 10.

Let's calculate these values for the given scenario:

n = 60 (number of calls)

p = 0.15 (probability of success)

np = 60 * 0.15 = 9 (expected number of successes)

n(1-p) = 60 * 0.85 = 51 (expected number of failures)

Since both np and n(1-p) are greater than 10, we can proceed with using the Normal approximation.

Now, we want to find the probability that at least 11 calls reach a live person. We can solve this by using the Normal distribution to approximate the binomial distribution.

First, we need to calculate the mean (μ) and standard deviation (σ) of the binomial distribution, which can be approximated using the Normal distribution.

μ = np = 9

σ = √(np(1-p)) = √(9 * 0.85) ≈ 2.598

Next, we calculate the z-score for the lower bound (11 calls) using the formula:

z = (x - μ) / σ

where x is the number of calls.

For x = 11:

z = (11 - 9) / 2.598 ≈ 0.770

Using a standard Normal distribution table or a calculator, we can find the probability associated with this z-score. The probability represents the area under the Normal curve to the right of the z-score.

P(X ≥ 11) = P(Z ≥ 0.770)

By looking up the z-score in a standard Normal distribution table or using a calculator, we find that P(Z ≥ 0.770) ≈ 0.2206.

Therefore, the probability that at least 11 calls reach a live person, using the Normal approximation, is approximately 0.2206 or 22.06%.

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Answer:

Step-by-step explanation:

Solving t2-40t+10 = 0 by the Quadratic Formula .

According to the Quadratic Formula, t , the solution for At2+Bt+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

t = ————————

2A

In our case, A = 1

B = -40

C = 10

Accordingly, B2 - 4AC =

1600 - 40 =

1560

Applying the quadratic formula :

40 ± √ 1560

t = ——————

2

Can √ 1560 be simplified ?

Yes! The prime factorization of 1560 is

2•2•2•3•5•13

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 1560 = √ 2•2•2•3•5•13 =

± 2 • √ 390

√ 390 , rounded to 4 decimal digits, is 19.7484

So now we are looking at:

t = ( 40 ± 2 • 19.748 ) / 2

Two real solutions:

t =(40+√1560)/2=20+√ 390 = 39.748

or:

t =(40-√1560)/2=20-√ 390 = 0.252

Answer: 3 seconds, lease mark me brainliest if I'm correct but i did my best :)

Answer:

No its not but each time a car come you need to move to your side of the lane

The random variable x, which represents the amount of rain (in inches) that fell this spring, is a continuous random variable.

In this context, a continuous random variable is one that can take on any value within a certain range. The amount of rain can be measured with different levels of precision, such as 2.5 inches or 2.5342 inches, indicating that there is an infinite number of possible values between any two given points.

On the other hand, a discrete random variable would involve countable outcomes or a finite number of possible values. For example, if we were counting the number of rainy days during the spring, the random variable would be discrete since it can only take whole number values.

In the case of measuring the amount of rain, there can be infinitely many possible values within any given range, and therefore, it is considered a continuous random variable. So, the correct answer is option A.

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The complete question is:

Decide whether the random variable x is discrete or continuous. Explain your reasoning Let x represent the amount of rain (in inches) that fell this spring. Is the random variable x discrete or continuous? Choose the correct answer below.

A. Continuous, because x is a random variable that cannot be counted.

B. Discrete, because x is a random variable that can be counted.

The segment AB is a radius and the notation is ↔ AB

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

The circle

On the circle, we can see that

The segment AB goes from the center of the circle to a point on the circle

A line that goes from the center of the circle to a point on the circle is the radius of the circle

This means that the segment AB is a radius and the notation is ↔ AB

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Step-by-step explanation:

A 62.0 kg person in

a rollercoaster moves 29.2 m/s

at the bottom of a curved track

of radius 33.7 m. What is the normal

force acting on the person?

(Unit = N)

0.0041 is closest to the rate at which the area of the forest is increasing, in square kilometers per decade.The correct answer is option D.

To determine the rate at which the area of the forest is increasing in square kilometers per decade, we need to convert acres to square kilometers and decades to years.

First, let's convert 1 square mile to square kilometers:

1 square mile = (1 mile)² = (1.60934 kilometers)² = 2.58999 square kilometers

Next, let's convert 1 acre to square kilometers:

1 acre = (1/640) square mile = (1/640) * 2.58999 square kilometers = 0.00404 square kilometers

Now, we know that the area of the forest is increasing at a rate of 1 acre per decade. So, the rate of increase in square kilometers per year is:

0.00404 square kilometers per decade ÷ 10 years = 0.000404 square kilometers per year

To find the rate in square kilometers per decade, we multiply the rate per year by 10:

0.000404 square kilometers per year × 10 = 0.00404 square kilometers per decade.

Among the given options, the closest rate is option D) 0.0041 square kilometers per decade.

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Answer:

This is a geometric sequence since there is a common ratio between each term.

Answer:

17/12= 1 5/12

Step-by-step explanation:

make the denominator the same as 12

_______  -9/12 =8/12

so add 8+9 to get 17.then keep the denominator as 12. last simpfie it to 1 5/12

The angle x° =( y+z )° using parallel lines theorem

parallel lines are coplanar infinite straight lines that do not intersect at any point. Parallel planes are planes in the same three-dimensional space that never meet.

When a line is used to cross 2 parallel lines, angles are formed and these angles are equal based on some properties.

To prove that x° = (y+z)°

Bisect angle x° into two equal part x1 and x2

y = x1 ( alternate angles are equal)

z = x2 ( corresponding angles are equal)

x1+x2 = x

since x1 = y and x2 = z

we can therefore say x1+x2 = y+z

y+z = x

x° = (y+z)°

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Answer:

a (1, 2.5)

Step-by-step explanation:

When talking about the orthocenter, you want to make sure that the point you are looking for is in the exact center.  Since coordinate N of the x value is 1, we can safely assume that your top two choices are either a and b.  B wouldn't work since it is not at the exact center which makes your answer A.

Everything except for a

Answer:

b

c

d

e

Step-by-step explanation:

have a good day

Answer:

I think it is 7x+y=

Step-by-step explanation:

Please forgive me if I am wrong :)

The pediatrician writes an order for robinul injection 35 mcg iv now. The nurse will administer 0.035 ml of Robinul injection for 35 mcg of medication.

The question is about calculating the number of milliliters a nurse should administer for a 35 mcg Robinul injection. Let's first understand the meaning of Robinul.Robinul is a medication used to treat excess sweating or salivation in the human body. It reduces the secretion of fluids by blocking the chemicals that stimulate their production. It is available in the form of tablets, injection, or solution.

The nurse is instructed to administer 35 mcg of Robinul injection now.Let's calculate the number of milliliters of Robinul injection to be administered by the nurse.

Now, 1 ml = 1000 mcg35 mcg = (35/1000) ml= 0.035 ml (rounded to the nearest hundredth).

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Answer:

1161 ft

Step-by-step explanation:

36 ft with the triangles, 900 ft with the squares, 225 ft for the bottom square, so total is 1161 ft.

Answer:

There are 10 fourths.

Step-by-step explanation:

There are four 1/4ths in 1. So 2.5 x 4 = 10.

Answer:

2 1/2 is the same as 5/2 which is the same as 10/4, so 10 is the answer :)

Step-by step solution

The probability of having at least one dog adopted is 0.6126

It is given that the probability to adopt a dog is 0.1

The adoption of the dog here clearly follows a Binomial distribution

ⁿCₓ  X  pˣ  X  (1 - p)ⁿ⁻ˣ

where,

n = no. os sample

p = probability of success

x = random variable.

Here the success would be the adoption of a dog, We are given here there were 9 visits

Hence,

n = 9

p = 0.1

1 - p = 0.9

we need to find the probability of the adoption of at least one dog

= P(X ≥ 1)

= 1 - P(X = 0)

Hence we get

P(X = 0)

= ⁹C₀  X  0.1⁰  X  0.9⁹

= 0.3874

Hence,

P(X ≥ 1)

= 1 - 0.3874

= 0.6126

Therefore the probability that at least one dog will be adopted is 0.6126

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Answer:10000

Step-by-step explanation:

Remember that log x and 10^x are inverse functions.

If you have log x = 4 and want the value of x, write this out:

log x 4

10 = 10

This simplifies to:

x = 10^4, and so the fourth answer choice is the correct one.

A measure that results in drastically different ratings over time lacks test-retest reliability.

Test-retest reliability refers to the consistency of measurements taken over time. If a measure results in drastically different ratings over time, it indicates a lack of consistency and therefore, a lack of test-retest reliability. This means that the measure is not dependable or accurate in measuring what it intends to measure. For example, if a survey measuring job satisfaction is administered to the same group of employees at two different time points, and the results show a significant difference, it may be due to a lack of test-retest reliability. In this case, the survey may need to be revised or replaced with a more reliable measure.

Test-retest reliability is crucial in ensuring the accuracy and dependability of a measure. A lack of test-retest reliability can lead to inaccurate results and can undermine the validity of the measure.

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