due to road works and a diversion on the m1, Anjam's drive from sheffield to watford took alot longer than planned. He left sheffield at 10.15am and arrived in watford 3.55pm in minutes how long did it take anjam

The stamp collection will be worth $380 after 15 years.

Simple interest is the borrowing amount added only to the principal amount.

The Formula to calculate the simple interest is;

                                                 S.I. = P x T x R / 100,

Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.

We can use the formula for simple interest to find the value of the stamp collection after 15 years.

Let P be the initial value of the collection (which is $200 in this case), r be the annual interest rate (which is 6% or 0.06), and t be the time period (which is 15 years).

The simple interest formula is:

I = P x r x t

where I is the interest earned.

Substituting the given values, we get:

I = 200 x 0.06 x 15 = $180

This means that after 15 years, the collection will be worth the initial value plus the interest earned, which is:

A = P + I = $200 + $180 = $380

Therefore, the required amount is $380.

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\(f(g(13)) = f( \alpha ) \\ where \: \alpha = g(13)\)

As shown in the output of g when we want to input 13 is shown in the second figure.

\( \alpha = g(13 )= 16\)

Now we want to solve for f(g(13)),now that we know what g(13) is

\(f(g(13)) = f( \alpha ) = f(16) = 32\)

Answer:

C=32

Step-by-step explanation:

This mapping is both one to one mapping and onto mapping

f(g(13))=f(ã)

since we know that g(13),we proceed to the codomain of g which is g(16)

That will be

f(16)=32

The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

We have to given that,

Functions are defined as,

⇒ s (x) = 2x²

⇒ f (x) = 3x

Now, We can find the value of (s - f) (- 7) is,

⇒ (s - f) (- 7)

⇒ s (- 7) - f (- 7)

⇒ 2 (- 7)² - (3 × - 7)

⇒ 2×49 + 21

⇒ 98 + 21

⇒ 119

Therefore, The value of expression (s - f) (- 7) would be,

⇒ (s - f) (- 7)  = 119

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Answer:

$353.28

Step-by-step explanation:

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

The answer is All

Step-by-step explanation:

It has been proven that all quadratic equations can be solved with the quadratic formula.

Answer:

x = 10.47

Step-by-step explanation:

circumference = 2 * 10 * π = 20π

centre angle of a circle (in radiant) = 2π

x : 20π = π/3 : 2π

x = (20π * π/3)/ 2π

x = 10 * π/3

x = 10π/3

x = 10.466667

x = 10.47

Answer:

around 2 years old

Step-by-step explanation:

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Answer:

f=12.7

Step-by-step explanation:

Answer:

12.7

Step-by-step explanation:

To find f, we need to "reverse" the operation and do 8.6 + 4.1 which equals 12.7.

Double check: 12.7 - 4.1 = 8.6 which is true. Therefore, 12.7 = f.

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The perimeter of the equilateral triangle is 45 meters.

An equilateral triangle is a polygon that has three sides that are of equal length. The sum of angles in an equilateral triangle is 180 degrees. The perimeter of an equilateral triangle  is the distance round the triangle. It can be determined by adding the length of the three sides of the triangle together.

The first step is to determine the side length of the triangle. The base can be determined from the area.

Area of a triangle = 1/2 x base x height

97.5 = 1/2 x 13 x b

b = (97.5 x 2) / 13

b = 15 meters

Perimeter = 15 x 3 = 45 meters

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Around 0.000125 or 0.0125% of the time, the song will be played exactly six out of seven days.

Every day represents a trial in this binomial probability issue, and there are only two potential results:

either the music is played (a success), or it is not (failure). We're looking for the likelihood that exactly 6 out of 7 trials will be successful.

The likelihood of success (performing the song) is 1/6, while the likelihood of failure (not playing the song) is 1 - 1/6 = 5/6, on any given day.

We can use the binomial probability formula to find the probability of exactly 6 successes in 7 trials:

P(6 successes) = (7 choose 6) * (1/6)⁶ * (5/6)¹

where (7 choose 6) is the number of ways to choose 6 days out of 7 to play the song, and is calculated as:

(7 choose 6) = 7! / (6! * 1!) = 7

Plugging in the values, we get:

P(6 successes) = 7 * (1/6)⁶ * (5/6)¹

P(6 successes) ≈0.00012502

Therefore, the probability that the song will be played on exactly 6 days out of 7 is approximately 0.000125 or 0.0125%.

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Answer: \(\frac{20}{3} %\)%

Step-by-step explanation:

Convert 3m to cm:

\((3m)(\frac{100cm}{1m} )=300cm\)

Now divide 20cm by 300cm:

20cm/300cm=1/15

Multiply (1/15) by 100% to convert the fraction to a decimal:

(1/15)(100%)=\(\frac{20}{3} %\)%

The value of d in the image that shows the two parallel lines that are crossed by the transversal is determined as: 125°.

In geometry, a transversal is a line that intersects two or more other lines at distinct points. When a transversal intersects a pair of parallel lines, it creates various angles and relationships between those angles.

The image attached below shows the two parallel lines which are crossed by the transversal, where angle d and 125° are vertical angles.

Since they are vertical angles, they will be equal or congruent to each other. Therefore, the value of d = 125°

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The graph of the inequality -4 ≤ x - 5 < -1 is given by the image presented at the end of the answer.

The inequality for this problem is defined as follows:

-4 ≤ x - 5 < -1

It is a compound inequality, hence the lower bound of the solution is obtained as follows:

x - 5 ≥ -4

x ≥ 1.

(closed border).

The upper bound of the solution is obtained as follows:

x - 5 < -1

x < 4.

(open border).

Then the solution is given as follows:

1 ≤ x < 4.

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The value of c is 2.5

Pythagoras theorem states that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.

c² = a²+b²

c is the hypotenuse because it is the side that faces the right angle , a and b are the legs of the triangle. Pythagoras theorem is only valid for right triangle.

c² = 2.2² + 1.2²

c² = 4.84 + 1.44

c² = 6.28

c = √ 6.28

c = 2.5( 1 dp)

therefore the value of c is 2.5

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Answer:

$3.36

Step-by-step explanation:

to find out what the price is after an increase of 3.5%, set it as 103.5% of the original price and then we convert the percent to a decimal (divide by 100)

so:

$3.25 x 103.5% =

3.25 x 1.035 = $3.36

Answer:

$3.36

Step-by-step explanation:

0.11375(3.5% of $3.25) + 3.25 = 3.36375

round to the hundredth since it money and your answer is #3.36

Answer: no solution

Step-by-step explanation:

4x² + 17 = 1

4x² + 16 = 0

4x² + 16 - 16 = 0 - 16

4x² = -16

x² = -4 ==> not possible since x² has to be a positive number

Hence, there is no solution for x

In function ,  value of   the functions p and q are 14, 35.

What is function and example?

p(x)= x+1

q (x) = 2x² - 2

q . p(x) = 2 ( x+1 )² - 2

q . p(x) = 2 ( x² + 1 + 2x )  - 2

q . p(x) =  2x² + 2 + 4x - 4

q . p(x) =  2x² + 4x - 2

q. p(-4) = 2 (-4)² + 4 × -4 - 2

           = 32 -16 - 2

           = 32 - 18   ⇒ 14

q. p(-4) = 14

(pᵒ g)(-4) =    -2x² +1

              =  -2x² + 1

(pᵒ g)(-4) = - 2 (-4)² + 1

               = 32 + 1 = 35

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Answer:

12c

Step-by-step explanation:

Note that when simplifying through adding or subtracting, the terms must have the same amount of the same variables to combine them.

In this case, all given terms have the same variable, denoted by c. Combine the given coefficients:

5c + 7c = 12c

12c is your answer.

~

The csc(theta) = 1/sin(theta) = 1/(-2/√13) = -√13/2. So, the cosecant of theta is -√13/2.

To find the cosecant (csc) of theta when a point (-3, -2) lies on its terminal side, we need to determine the hypotenuse (r) of the right triangle formed by this point.

Using the Pythagorean theorem, r^2 = (-3)^2 + (-2)^2. So, r^2 = 9 + 4 = 13, and r = √13.

The csc(theta) is the reciprocal of sin(theta). Sin(theta) is calculated as the ratio of the opposite side (y-coordinate) to the hypotenuse, or sin(theta) = -2/√13.

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The probability that Aakesh will select a blue marble from each bag is 4/45.

To find the probability that Aakesh will select a blue marble from each bag, we need to calculate the probability of selecting a blue marble from each bag and then multiply those probabilities together.

Let's start with the first bag, which contains 5 marbles: 2 red marbles, 2 blue marbles, and 1 green marble. The probability of selecting a blue marble from the first bag is:

P(Blue from first bag) = Number of blue marbles / Total number of marbles in the first bag

P(Blue from first bag) = 2 / 5

Now, let's move on to the second bag, which contains 9 marbles: 3 red marbles, 2 blue marbles, and 4 green marbles. The probability of selecting a blue marble from the second bag is:

P(Blue from second bag) = Number of blue marbles / Total number of marbles in the second bag

P(Blue from second bag) = 2 / 9

To find the probability of both events happening (selecting a blue marble from each bag), we multiply the individual probabilities together:

P(Blue from both bags) = P(Blue from first bag) * P(Blue from second bag)

P(Blue from both bags) = (2 / 5) * (2 / 9)

P(Blue from both bags) = 4 / 45.

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Answer:

yyou slope intrecept is already there

Step-by-step explanation:

2+2=4

Answer:

9x+3y=36

Step-by-step explanation:

boom

Answer:

Step-by-step explanation:

y=l2−16k−4

Step 1: Flip the equation.

l2−16k−4=y

Step 2: Add -l^2 to both sides.

l2−16k−4+−l2=y+−l2

−16k−4=−l2+y

Step 3: Add 4 to both sides.

−16k−4+4=−l2+y+4

−16k=−l2+y+4

Step 4: Divide both sides by -16.

−16k

−16

=

−l2+y+4

−16

k=

1

16

l2+

−1

16

y+

−1

4

Answer:

the answer is 12345678 done

Step-by-step explanation:

I hope it's help