Mathematics College

The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
The equation of proportionality is n =
270
p
Work out the power of the kettle if it takes 90 seconds to boil.
If your answer is a decimal, give it to 1 d.p.

Answers

Answer 1

The power of the kettle if it takes 90 seconds to boil given the inverse proportionality is 3 kilowatts.

What is the power of the kettle?

Let

number of seconds that it takes for a kettle to boil = n

power of the kettle = p

n = 270/p

If n = 90 seconds

n = 270/p

90 = 270/p

90 × p = 270

90p = 270

divide both sides by 90

p = 270/90

p = 3 kilowatts

Ultimately, the power of the kettle is 3 kilowatts.

Related Questions

Decompose the following figure into its separate pieces. Draw the pieces.

Answers

When the figure is decomposed, we will have 3 triangles and one square figure

What are the shapes of the solids?

In this problem, we have a given figure in which we are asked to break down or decompose and identify the individual shapes.

At the center of the figure, we have a square shape. A square is a figure or shape that has all it's edges equal and are at equal angle to one another. The edges of a square are at 90 degrees to one another.

At the edges of the square, we have three triangles attached to it to the edges of the square.

From the image, the triangles must also be of equal size since they're attached to the base of a square which has an equal sides across all it's edges.

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32. Jimmy is putting down carpet in a square-shaped room. The floor has an area of
90 square feet. Jimmy knows that the side length of the floor must be √90 feet.
Which statement about the value of √90 feet is true?
A. √90 feet is between 9 feet and 10 feet but is closer to 9 feet.
B. √90 feet is between 9 feet and 10 feet but is closer to 10 feet.
C. √90 feet-45 feet
D. √90 feet = 8100 feet

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

The correct answer is A.

To find the length of one side of the square, we need to take the square root of the area. Therefore, the square root of 90 is approximately 9.49 feet. Since this value falls between 9 feet and 10 feet, but is closer to 9 feet, the statement "√90 feet is between 9 feet and 10 feet but is closer to 9 feet" is true. So, Jimmy should cut the carpet to 9.49 feet to fit the square-shaped room.

The figure shown is a scale drawing of a playground in a park. The length is 9 in and the width is 2 in.

The actual playground has a width of 6 feet. What is the actual length of the playground, in feet?

A
3 feet
B
27 feet
C
18 feet
D
54 feet

Answers

Option B is the actual length of the playground, which is 27 feet.

How to calculate actual length?

First, find the scale factor from the drawing to the actual playground. Since the width of the drawing is 2 inches and the actual width is 6 feet, the scale factor is:

6 feet / 2 inches = 3 feet/inch

Next, use this scale factor to find the actual length of the playground. The length in the drawing is 9 inches, so the actual length is:

9 inches x 3 feet/inch = 27 feet

Therefore, the actual length of the playground is 27 feet.

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Here’s is a graph of the function f.

Use the graph to find the following.
If there is more than one answer, separate them with commas

Answers

Answer:

The local minima are 1 and -2

The values at which the function f has a local minimum are -3 and 4

Step-by-step explanation:

Main Concepts:

Brief side-discussion about local vs global minimums

Concept 1. What a Local minimum is

Concept 2. Where a local minimum is at

Brief side-discussion: a Local minimum vs Absolute or Global minimum

A local minimum is the height of any "low" point on a continuous section of the function where all of the points "near" it are higher.

In contrast, an Absolute minimum (sometimes called a "global minimum"), is the lowest height the function ever reaches.

Concept 1. What a Local minimum is

This problem is asking about local minimums, of which there are two:

the height of the point in the trough on the leftthe height of the point in the trough on the right

"The Local minimum value" itself IS the height of the point (the "y"-value).

The point on the left has coordinates (-3,1), and the point on the right has coordinates (4,-2).

So, the local minima are 1 and -2

Concept 2. Where a local minimum is at

The minima are different from "The values AT which the function has a local minimum" which is the input (or, "x"-value) that will produce that output when put into the function.

So, the values at which the function f has a local minimum are -3 and 4

What alternation did John Singer Sargent make to Madame X (1883-1884), his most controversial painting?

he added her wedding ring

Ohe painted a diamond crescent to her hairstyle

Ohe repainted the right strap

Ohe repainted her face

Answers

John Singer Sargent repainted the right strap on Madame X (1883-1884). The Option C is correct.

What alternation did John Singer Sargent made?

Madame X caused a scandal when it was first exhibited in Paris in 1884. Sargent had originally painted the right strap of the dress hanging off the shoulder which was seen as too provocative at the time.

However, he later repainted the strap to be more securely in place, but this change did not entirely satisfy critics, but, nevertheless, the painting is now considered a masterpiece and an iconic example of Sargent's style.

Answers

The volume of the oblique cylinder can be calculated as:

833π cm³

How to Find the Volume of an Oblique Cylinder?

The formula that would be used to find the volume of any given oblique cylinder can be expressed as:

Volume = πr²h, where:

radius of the cylinder = r

height of the cylinder = h

π is a constant

We are given the values for the cylinder as:

r = 14/2 = 7 cm

h = 17 cm

Volume of the oblique cylinder = πr²h = π × 7² × 17

Volume of the oblique cylinder = 833π cm³

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Factor the greatest common factor from the polynomial. 12x² 12x² + 30x + 30x =

Answers

Answer:

Step-by-step explanation:

hello :

6x the greatest common factor from the polynomial.

12x² + 30x

Homework Progress 9 / 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.Homework Progress 9/ 12 Marks The same honey is sold in two different size jars. Large Jar Small Jar 540g for £4.10 360g for £2.81 By considering the amount of honey per penny, work out which jar is the best value for money. Working must be shown.

Answers

Answer:

Step-by-step explanation:

If the large Jar is $4.10 for 540g

and small jar $2.81 for 360 g

You need to show how much it cost for 1 g,so you can compare how much it cost per gram. You would divide the total cost by the grams to see how much it is for 1 g.

Large jar. $4.10/540 = $.0076 for 1 gram

Small Jar. $2.81/360 =$.0078 for 1 gram

Because the large jar is cheaper to buy per gram, the large jar is the best value for the money.

A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a sequence consist of exactly 3 heads and the rest tails?

Answers

We can use the binomial probability formula to solve this problem. The formula is:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where:
- P(X=k) is the probability of getting exactly k successes
- n is the total number of trials
- k is the number of successes
- p is the probability of success in one trial
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items

In this problem, we want to find the number of ways to get exactly 3 heads in 10 coin flips. The probability of getting a head in one coin flip is 1/2, so p=1/2. The number of trials is n=10, and the number of successes we want is k=3. Plugging these values into the formula, we get:

P(X=3) = (10 choose 3) * (1/2)^3 * (1/2)^(10-3)
= (10! / (3! * 7!)) * (1/2)^10
= 120 * (1/2)^10
= 0.1171875

Therefore, there are 0.1171875 ways to get exactly 3 heads in 10 coin flips. Since we can't have a fraction of a sequence, we can say that there is only 1 way to get exactly 3 heads in 10 coin flips (since there is only one sequence that satisfies this condition).

there are 120 different ways a sequence of 10 coin flips can consist of exactly 3 heads and the rest tails.

To solve this problem, we can use the formula for combinations. The number of ways to choose k items from a set of n items is given by the formula n choose k, which is written as C(n,k) or sometimes as nCk.

In this case, we want to choose 3 heads from a set of 10 coin flips. The number of ways to do this is C(10,3) = 120.

Once we have chosen the 3 heads, the remaining 7 flips must all be tails. There is only one way to arrange 7 tails, since they are all the same.

Therefore, the total number of sequences that consist of exactly 3 heads and the rest tails is 120.

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3/4w is less than or equal to 24 graph and solve the ineguality

Answers

The inequality that represents the situation is w ≥ 32.

To graph the inequality, we first need to solve it for w:

3/4w ≤ 24

We can isolate w by multiplying both sides by 4/3 (which is the reciprocal of 3/4), remembering to reverse the inequality because we're multiplying by a negative number:

w ≥ 24 × 4/3

w ≥ 32

So the solution to the inequality is w ≥ 32.

To graph this, we draw a number line and put a closed circle at 32 (because the inequality includes "equal to"), and shade to the right of 32 to represent all the values that satisfy the inequality given in the attached image.

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Case 4.11
>Suppose Big D, Inc. just paid a dividend of $.50. It is expected to increase its dividend by 2% per year.
If the market requires a return of 15% on assets of this risk, how much should the stock be selling for?

Answers

If the market requires a return of 15% on assets of this risk, the stock should be selling for $3.92.

How much should the stock be sold for?

We can calculate the stock price using the dividend discount model with the following formula: "Stock Price = Dividend / (Required Rate of Return - Dividend Growth Rate)".

Data:

Dividend = $0.50

Increase its dividend by 2% per year.

The next dividend (D1) can be calculated as:

D1 = D0 x (1 + Dividend Growth Rate)

D1 = $0.50 x (1 + 0.02)

D1 = $0.51

Using these values, we can calculate the stock price as follows:

= $0.51 / (0.15 - 0.02)

= $0.51 / 0.13

= $3.92.

Answers

The tires of Julián's bicycle must take 620 turns to go from his house to school.

The circumference of the tire can be calculated using the formula C = πd, where d is the diameter of the tire.

C = πd = π(45cm) ≈ 141.37cm

To find out how many turns the tires must take, we need to divide the total distance by the distance covered by one revolution of the tire:

Number of turns = Distance / Circumference

Number of turns = 877m / (141.37cm/100cm/1m)

Number of turns ≈ 620.09

Therefore, the tires of Julián's bicycle must take approximately 620 turns to go from his house to school.

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an aquarium tank can hold 6000 liters of water. there are two pipes that can be used to fill the tank. the first pipe alone can fill the tank in 50min. the second pipe can fill the tank in 75min by itself. when both pipes are working together how long does it take them to fill the tank?

Answers

We can use the formula:

time = volume / rate

where time is the time it takes to fill the tank, volume is the volume of the tank, and rate is the rate at which water flows into the tank.

The rate of the first pipe is 6000/50 = 120 liters per minute.
The rate of the second pipe is 6000/75 = 80 liters per minute.

When both pipes are working together, their rates add up, so the combined rate is:

120 + 80 = 200 liters per minute.

Using the same formula as above, we can solve for the time it takes both pipes to fill the tank:

time = 6000 / 200 = 30 minutes.

Therefore, it would take both pipes 30 minutes to fill the tank when working together.

CAN SOMEONE HELP WITH THIS question?✨

Answers

The summation ∑₁¹²⁴(29a₁ - 13b₁) = -30

How to find the given summation?

Suppose that ∑₁¹²⁴a₁ = -10 and ∑₁¹²⁴b₁ = -20. We desire to compute the following ∑₁¹²⁴(29a₁ - 13b₁), we proceed as follows.

So, the summation ∑₁¹²⁴(29a₁ - 13b₁)

Expanding the brackets, we have that

∑₁¹²⁴(29a₁ - 13b₁) = ∑₁¹²⁴29a₁ - ∑₁¹²⁴13b₁)

= 29∑₁¹²⁴a₁ - 13∑₁¹²⁴b₁

Given that ∑₁¹²⁴a₁ = -10 and ∑₁¹²⁴b₁ = -20.

So, substituting the values of the variables into the equation, we have that

∑₁¹²⁴(29a₁ - 13b₁) = 29∑₁¹²⁴a₁ - 13∑₁¹²⁴b₁

= 29(-10) - 13(-20)

= -290 + 260

= -30

So, ∑₁¹²⁴(29a₁ - 13b₁) = -30

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If ΔJAB ≅ ΔFED, AB = 10 in, m∠BJA = 52º, and m∠EDF = 65º, which of the following statements is not true?
A.
m∠ABJ = 65º
B.
ED = 10 in
C.
∠B ≅∠E
D.
m∠FED = 63º

Answers

Answer:

C. ∠B ≅∠E

Step-by-step explanation:

Since ΔJAB ≅ ΔFED, their corresponding angles are congruent.

Therefore:

∠J ≅ ∠F → m∠BJA ≅ m∠DFE∠A ≅ ∠E → m∠JAB = m∠FED∠B ≅ ∠D → m∠ABJ ≅ m∠EDF

Given that m∠BJA = 52° and m∠EDF = 65°, then:

m∠BJA = m∠DFE = 52° m∠ABJ = m∠EDF = 65°

Therefore, m∠ABJ = 65°.

Interior angles in a triangle sum to 180°. Therefore:

⇒ m∠JAB + m∠BJA + m∠ABJ = 180°

⇒ m∠JAB + 52° + 65° = 180°

⇒ m∠JAB + 117° = 180°

⇒ m∠JAB = 63°

As m∠JAB = m∠FED, then m∠FED = 63°.

Since ΔJAB ≅ ΔFED, their corresponding sides are congruent.

AB = EDBJ = DFAJ = EF

Given that AB = 10 inches, then ED = 10 inches.

Therefore, the statement that is not true is:

∠B ≅∠E

PLEASE HELP ASAP
The table below shows the values of f(x) and g(x) for different values of x. One of the functions is a quadratic function, and the other is an exponential function. Which function is most likely increasing exponentially?

x f(x) g(x)
1 3 3
2 6 9
3 11 27
4 18 81
5 27 243
f(x), because it eventually exceeds g(x)
g(x), because it eventually exceeds f(x)
f(x), because it eventually intersects g(x)
g(x), because it will not intersect f(x)

Answers

The function that is most likely increase exponentially is f(x). Because it eventually exceeds g(x)

To determine which function is most likely increasing exponentially, we need to compare the rate at which the two functions are increasing.

Looking at the table, we can see that as x increases, f(x) increases at a faster rate than g(x). In fact, f(x) eventually exceeds g(x) for x values greater than or equal to 5. This suggests that f(x) is increasing at an exponential rate.

On the other hand, g(x) is increasing at a much slower rate than f(x). Although g(x) is also increasing, it does not appear to be increasing exponentially. In fact, g(x) will never exceed f(x), because f(x) grows at a faster rate.

Therefore, the function that is most likely increase exponentially is f(x).

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[1/5x-4+2y]+[2/5x+5-4y]
35 POINTS BY THE WAY

Answers

Answer: [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.

Step-by-step explanation:

To simplify the given expression, we need to combine like terms.

The like terms are the ones with the same variable parts.

Let's first simplify the expression inside the brackets separately:

[1/5x-4+2y] = 1/5x + 2y - 4

[2/5x+5-4y] = 2/5x - 4y + 5

Now, we can combine the simplified expressions:

[1/5x + 2y - 4] + [2/5x - 4y + 5]

= 1/5x + 2y - 4 + 2/5x - 4y + 5

= (1/5 + 2/5)x + (2y - 4y) - 4 + 5

= 3/5x - 2y + 1

Therefore, [1/5x-4+2y]+[2/5x+5-4y] simplifies to 3/5x - 2y + 1.

Answers

Answer:

Ohe repainted the right strap.

Caitlyn went to the store to buy school clothes. She had a store credit in the amount of$39.58. if she bought 4 of the same show in different colors and spent $52.22 after the store credit was taken off her total, what was the price of each shirt she bought. Write and solve an equation with integer and coefficients.

Answers

The price of each shirt she bought is $3.16

What was the price of each shirt she bought

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

Store credit = $39.58

Items = 4

Amount spent = 52.22

The price of each shirt (x) she bought is calculated using

4 * x + Store credit = Amount spent

So, we have

4x + 39.58 = 52.22

Evaluate

x = 3.16

Hence, the price of each shirt she bought is 3.16

Answers

By the theorem of triangles, the calculated value of y in the triangle ABC is 50 degrees

Calculating the required value of y in the triangle?

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

The triangle ABC

Also, the angles in the triangle are given as y, y and 80 degrees

By the theorem of triangles, the sum of angles in a triangle is 180 degrees

Representing the above statement as an equation, we have

y + y + 80 = 180

Evaluate

y = 50

So, we can conclude that the value of y is 50 degrees

Answers

According to the information, the least number of committees that need to be formed to meet all of the conditions is 8.

How to calculate the least number of committees that need to be formed to meet all of the conditions?

To minimize the number of committees, we can try to use each student in as many committees as possible. Since each student must be in exactly 2 committees, and there are 12 students, we need a total of 24 "student committee slots".

Now we need to figure out how to assign the students to committees so that no two committees have more than one student in common. One way to do this is to use a "round-robin" approach:

Assign the first student to committees 1, 2, and 3.

For the next student, assign them to committees 1, 4, and 5.

For the third student, assign them to committees 2, 4, and 6.

Continue in this way, cycling through the remaining students and assigning them to three committees at a time, making sure to avoid any duplicates.

After assigning all 12 students to committees in this way, we will have a total of 8 committees. We can check that each committee contains exactly 3 students, and that no two committees have more than one student in common.

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Use the drop downs to determine which symbols
would complete the inequality for the range.
-2
(c)____y
_(c)______y____(d)______5

Answers

The symbols that would complete the inequality for the range include the following:

-2 ≤ y < 5.

c is less than or equal to.

d is less than.

What is a range?

In Mathematics, a range can be defined as the set of all real numbers that connects with the elements of a domain.

Based on the information provided about the graph of this function, we can reasonably infer and logically deduce that the domain and range can be written as follows:

Domain = {-4, 4} or -4 < x ≤ 4.

Range = {-2, 5} or -2 ≤ y < 5.

In conclusion, the missing symbols are "less than or equal" to and "less than" respectively.

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Complete Question:

Use the drop downs to determine which symbols would complete the inequality for the range. −2 ___(c)___ y ___(d)___ 5 (c) (d) On a coordinate plane, a graph of an image with a curve and straight line has 2 points. A closed circle appears at (negative 4, negative 2) and an open circle appears at (4, 5).

calcula la cantidad de energia mecanica total de un automovil que se encuentra subiendo una montaña el cual tiene una masa de una tonelada se localiza a una altura de 500 m y lleva una rapidez de 50km/h

Answers

The answer to the given energy is 5096327.2 J

How to determine the value?

Remember that Joule is a derived unit of energy which is equal to the energy transferred to an object when a force of one newton acts on that object in the direction of its motion through a distance of one meter

m = 1 tonelada = 1000 kg

h = 500 m

v = 50 km / hr = 13.88 m / s

9 = 10 m / s²

Ep = ?

Ec = ?

The given formula Formula

Ep = m g h = 1000 kg X 10 m / s² X 500 m = 5000000 Joule

Ec = m V² / 2 = 1000 kg X (13.88 m / s)² / 2 = 96327.2 Joule

Et = Ep + Ec = 5000000 J + 96327.2 J = 5096327.2 J

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What is the answer.

Answers

Answer:106

Step-by-step explanation:

The diameter of a circle is 28 millimeters. What is the circle's circumference?

Answers

Answer:

87.9646 millimeters.

Step-by-step explanation:

The circumference (C) of a circle is given by the formula:

C = πd

Where d is the diameter of the circle and π (pi) is a mathematical constant approximately equal to: 3.14159.

In this case, the diameter of the circle is given as 28 millimeters, so we can substitute this value into the formula to find the circumference:

C = πd = π(28 mm) = 87.9646 mm (rounded to 4 decimal places)

Therefore, the circumference of the circle is approximately 87.9646 millimeters.

Of the trees in a park 6/10 have red leaves right 6/10 as a fraction with a denominator of 100 then right the fraction as a decimal

Answers

The two ways of rewritting the fraction are.

6/10 = 60/100

6/10 = 0.6

How to rewrite the fraction?

Here we know that of the trees in a park 6/10 have red leaves. And we want to write that fraction with a 100 as the denominator (the second number of the fraction)

To do so, we can multiply our fraction by 10/10

Notice that the quotient is equal to 1 so it does not change the value of our fraction, then we will get:

(6/10)*(10/10) = 60/100

And the fraction written as a decimal is:

6/10 = 0.6

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In school need some help

Answers

Answer:

a) 3 cubes

b) 5 cubes

c) 15 cubes

d) 45 cubes

a) 2 cubes

b) 4 cubes

c) 8 cubes

d) 8 , 1/8

Step-by-step explanation:

a) 3 cubes because 1.5/0.5=3

b) 5 cubes because 2.5/0.5=5

c) 15 cubes because 5x3=15

d) 45 cubes because the height 1.5/0.5=3 so 3x15=45

a) 2 cubes beacuse 1/0.5=2

b) 4 cubes because the lenght is 1/0.5=2

c) 8 cubes because the height is 1/0.5=2 4x2=8

d) 8 , 1/8

What is the relationship between the mean and variance of the exponential distribution? fx = ao + Σ₁ ancoszx+b sin¹7 L n = 1 Select one: A. Variance = 2*Mean B. Mean = Variance C. Variance is the square of the mean D. Mean is the square of the Variance

Answers

Answer:

the answer is b

Step-by-step explanation:

The relationship between the mean and variance of the exponential distribution is (c) variance is the square of the mean.

What is exponential distribution

In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the time between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate.

The exponential distribution is widely used in various fields such as

queuing theoryreliability analysissurvival analysis

For example, it can be used to model the time between machine failures or the time between arrivals of customers at a service facility.

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A triangle with coordinates (0,0), (0, 7) and (6,0) is rotated 360 degrees about the x-axis. What is the volume of the figure created in cubic units?

Answers

The volume of the figure created is 98 cubic units.

Given that:

A triangle with coordinates (0,0), (0, 7), and (6,0) is rotated 360 degrees about the x-axis.

A cone is formed when a triangle rotates. Then the volume created is calculated as,

V = 1/3 x 7² x 6

V = 49 x 2

V = 98 cubic units

The volume is 98 cubic units.

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Many banks charge for out of network ATM use. Out of network ATMs are ones provided by someone other
than your bank. While you're away at college, you will have to rely on these out of network ATMs if your local bank does not have a branch near your school.

Compare the following checking account fee structures.

Hometown National Bank

Monthly
Maintenance Fee
$5.00

Out of Network
ATM Charge
$2.00

Freedom Bank
$1.00

out of network ATM charge
$3.00

1. Which bank offers a better fee structure for a month of usage? Describe your reasons.

2. Is one bank ALWAYS better? What factors might affect which bank has the better fee
structure?
I
3. How could you avoid these fees if you are away at school without access to a local branch?

4. Find a partner and discuss your bank choices. Write down how you could best compare the two
fee structures.

Answers

The choice between Hometown National Bank and Freedom Bank depends on usage. Should you use out-of-network ATMs with regularity, the former may be favored due to its lower ATM charge. Otherwise, if these visits are sporadic, the latter might reign superior in regards to its maintenance fee.

How to determine the best bank to use

Still, no financial institution can be deemed unequivocally better. Additional variables influencing this decision could include the frequency of out-of-network ATM travel, one's account balance, as well as any supplementary services each establishment may supply.

In order to safeguard yourself against fees, consider utilizing in-network ATMs, mobile banking, or taking advantage of cashback options offered when making purchases from retailers.

By calculating total fees for each bank, estimating monthly out-of-network ATM activity, and factoring in other services and one's individual preferences, it is possible to determine which establishment best suits your needs.

The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p. The equation of proportionality is n = 270 p Work out the power of the kettle if it takes 90 seconds to boil. If your answer is a decimal, give it to 1 d.p.

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The number of seconds that it takes for a kettle to boil, n, is inversely proportional to its power in kilowatts, p.
The equation of proportionality is n =
270
p
Work out the power of the kettle if it takes 90 seconds to boil.
If your answer is a decimal, give it to 1 d.p.