The daily simple interest rate for a credit card is 0.059%. What is the simple interest for 30
days on £4 750? Help please

a) 2,4,8 b) 1,3,9

A has a total sum of 16, and B has a total sum of 13.

The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Answer:

+_6

Step-by-step explanation:

let the possible values be x.

x÷4=9÷x

from that you will get x^2=36

introduce a square root to both sides and the answer is +_6

Answer:

because AC and BD bis => AX = XC; BX = XD

ΔAXD ≅ ΔCXB (SAS) because: AX = CX

                                                    DX = BX

                                                    m∠AXD = m∠BXC ( 2 opposing angles)

because ΔAXD ≅ ΔCXB (SAS)

=> AD = BC and m∠DAX = m∠BCX

because m∠DAX = m∠BCX => AD//BC

ABCD has AD = BC and AD//BC => ABCD is a parallelogram

Step-by-step explanation:

The number of ways to choose a dance committee of 8 students is 6,096,454 ways.

The number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 1,134,000 ways.

The number of ways to choose a dance committee with 4 juniors and 4 seniors is 12,870 ways.

The probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 0.186.

The probability of selecting a committee consisting of 4 juniors and 4 seniors is 0.002.

To solve these problems, we can use the concept of combinations. The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or nCk.

In general, the formula for the binomial coefficient is:
C(n, k) = n! / (k! * (n - k)!)

Now, let's solve each problem:

In how many ways can a dance committee of 8 students be chosen?
We have a total of 35 eligible students (8 freshmen + 10 sophomores + 9 juniors + 8 seniors). To choose a committee of 8 students, we need to calculate C(35, 8):
C(35, 8) = 35! / (8! * (35 - 8)!)
= 35! / (8! * 27!)
Therefore, the number of ways to choose a dance committee of 8 students is:
35! / (8! * 27!) = 6,096,454 ways

In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors?
We need to choose 2 students from each category. The number of ways can be calculated by multiplying the number of ways to choose 2 students from each category:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2)
Therefore, the number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2) = 1,134,000 ways

In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 seniors?
We need to choose 4 juniors from the 9 available and 4 seniors from the 8 available. The number of ways can be calculated as:
C(9, 4) * C(8, 4)
Therefore, the number of ways to choose a dance committee with 4 juniors and 4 seniors is:
C(9, 4) * C(8, 4) = 12,870 ways

Probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.
To find the probability, we need to divide the number of ways to choose the desired committee (as calculated in question 2) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
1,134,000 / 6,096,454 ≈ 0.186

Rounded to the nearest thousandth, the probability is approximately 0.186.

Probability of selecting a committee consisting of 4 juniors and 4 seniors.
Similarly, to find the probability, we divide the number of ways to choose the desired committee (as calculated in question 3) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 4 juniors and 4 seniors is:
12,870 / 6,096,454 ≈ 0.002

Rounded to the nearest thousandth, the probability is approximately 0.002.

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The equation in vertex form is y = 2(x+3)² + 1. The vertex is (-3,1), the axis of symmetry is x = -3, and the direction of opening is upwards.

The vertex form of the equation is y = a(x-h)^2 + k, where (h, k) is the vertex. The axis of symmetry is x = h, and the direction of opening is determined by the value of a.

Using this formula, let us write each equation in vertex form and then identify the vertex, axis of symmetry, and direction of opening.

1. y = x² + 8x + 18

To write this equation in vertex form, we need to complete the square. y = x² + 8x + 18 is equivalent to y = (x+4)² - 2. Therefore, the equation in vertex form is y = (x+4)² - 2.

The vertex is (-4,-2), the axis of symmetry is x = -4, and the direction of opening is upwards.2

. y = -x² - 12x - 36To write this equation in vertex form, we need to complete the square. y = -x² - 12x - 36 is equivalent to y = -(x+6)² - 12. Therefore, the equation in vertex form is y = -(x+6)² - 12.

The vertex is (-6,-12), the axis of symmetry is x = -6, and the direction of opening is downwards.3. y = 2x² + 12x + 13To write this equation in vertex form, we need to complete the square. y = 2x² + 12x + 13 is equivalent to y = 2(x+3)² + 1.

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There are 84,672 different meals that can be ordered by selecting one item from each category.

To determine the number of different meals that can be ordered by selecting one item from each category, we need to multiply the number of choices in each category together.

In this case, the number of choices for each category are as follows:

Drinks: 12 choices

Appetizers: 7 choices

Main Entrees: 8 choices

Side Dishes: 14 choices

Desserts: 9 choices

To calculate the total number of different meals, we multiply these numbers together:

Number of different meals = Number of choices in Drink category × Number of choices in Appetizer category × Number of choices in Main Entree category × Number of choices in Side Dishes category × Number of choices in Dessert category

Number of different meals = 12 × 7 × 8 × 14 × 9

Calculating this expression gives us:

Number of different meals = 84,672

Therefore, there are 84,672 different meals that can be ordered by selecting one item from each category.

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do u want it solved or simplified

Answer:

6x-9 = 6x -9

infinite solutions as they are the same equation.

Answer:

\(12\) cm

Step-by-step explanation:

If Kelsey knit a total of \(6\) cm of scarf over \(2\) nights, then we know that she can knit \(\frac{6}{2}=3\) cm each night. Therefore, after \(4\) nights of knitting, Kelsey would have knit a total of \(3*4=12\) cm of scarf in total. Hope this helps!

#1

Area

#2

Area

#3

Area

#4

Area

Answer:

Formula:    Area of a rectangle = width × length

Substitution:    Area = 2.5 mi × 5 mi

Answer:    Area = 12.5 mi²

Formula:   Area of a triangle = 1/2 × base × height

Substitution:   Area = 1/2 × (12 ft + 4 ft) × 5 ft

Answer:   Area = 40 ft²

Formula:  Area of a parallelogram = base × height

Substitution:   Area = 24 cm × 6 cm

Answer:   Area = 144 cm²

Formula:   Area of a parallelogram = base × height

Substitution:   Area = 7 m × 4 m

Answer:   Area = 28 m²

The number of edges that the prism has is

When a plane intersects a prism, the shape formed is known as the cross section. The cross section of the prism will have the same form as the base if it is divided by a plane that runs horizontally and parallel to the base.

A prism is a 3-dimensional object with two congruent and parallel bases (which are polyggonal) connected by rectangular lateral faces. The number of edges of a prism is equal to the sum of the number of edges of the two bases and the number of lateral faces.

Each base of the prism has n edges, so the two bases together have 2n edges. The number of lateral faces of the prism is equal to the number of edges of one of its bases, so there are n lateral faces. Each lateral face has 4 edges, so the total number of edges of the lateral faces is 4n.

Therefore, the total number of edges of the prism is equal to the sum of the number of edges of the two bases (2n) and the number of lateral faces (4n), which is 2n + 4n = 6n.

In conclusion, the cross section of a prism is an n-sided polygon and the prism has n + 2 edges.

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Answer:

739,266

Step-by-step explanation:

Answer:

25% increase

Step-by-step explanation:

his collection increased by 25%

to find this value you divide the end value by the original value and subtract 1, then when you do so, you get 0.25

then convert 0.25 to a percent, and you get 25%

The volume of the solid bounded below by the xy plane, on the sides by p-11, and above by φ = π/6 is ___.

To find the volume of the solid, we need to integrate the function φ - 11 over the given region.

To set up the integral, we need to determine the limits of integration. Since the solid is bounded below by the xy plane, the lower limit is z = 0. The upper limit is determined by the equation φ = π/6, which represents the top boundary of the solid.

Next, we need to express the equation p - 11 in terms of z. Since p represents the distance from the xy plane, we have p = z. Therefore, the function becomes z - 11.

Finally, we integrate the function (z - 11) over the region defined by the limits of integration to find the volume of the solid. The exact limits and the integration process would depend on the specific region or shape mentioned in the problem.

Unfortunately, the specific value of the volume is missing in the given question. The answer would involve evaluating the integral and providing a numerical value for the volume.

The complete question must be:

The volume of the solid bounded below by the xy plane, on the sides by p-11, and above by \(\varphi=\frac{\pi}{6}\) is ___.

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The answer is "false". The interval [1, 2] contains all the real numbers between 1 and 2 including the endpoints.

An interval notation is used for representing the continuous set of real values. This is the shortest way of writing inequalities.

Intervals are represented within the brackets such as square brackets or open brackets(parenthesis).

The given interval is [1, 2]

The given statement is - 'the interval [1, 2] contains exactly two numbers - the numbers 1 and 2'

The given statement is 'false'.

This is beacuse, an interval consists set of all the real values in between the two values given.

So, according to the definition, there are not only the end values but also many real values in between them.

Thus, the answer is "false". The interval [1, 2] consists of all the real values between 1 and 2 including 1 and 2.

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D. tends to get closer and closer to the population mean μ.

The Law of Large Numbers states that as the sample size increases, the sample mean will approach the population mean. In other words, the more data we have, the more accurate our estimate of the true population mean will be. This is an important concept in statistics and probability theory, and it underlies many statistical methods and techniques.

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Answer:

Step-by-step explanation:

First you will do 6.75*10=67.50

Next you will do 6.75*12= 81

Then you will do 6.75*20= 135

Last you add 67.50+81+135= $283.50

Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

Unlike, in the case of a Binomial distribution, for a Poisson distribution, the knowledge of number of trials to get the observed number of successes is not required. The Poisson distribution has only one parameter namely “m” the mean number of successes per given unit of time.

The Poisson distribution is often taken as a limiting case of Binomial distribution, under the following conditions.

The number of trails is indefinitely large i.e., n → ∞

The probability of success, “p” is very small i.e., p → 0

np is finite i.e., np = m where p = m/n and q = 1 – m/n and m > 0.

However, it is not defined if “n” is large means how large and “p” is closed to zero means how small? It is left to the readers to assume how large n should be and how small p should be? As mentioned earlier, the Poisson distribution is often described as a limiting case of Binomial distribution.

Based on the results of the study , published by me clearly proves that even when 10 ≤ n ≤50 and p ≤ 0.2, the Poisson distribution can be a good approximation to Binomial distribution.

Hence the answer is Under the Binomial and Poisson distributions gives approximate result is p → 0 n → ∞.

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Answer:

60 cm

Step-by-step explanation: how I got your answer is by multiplying 5 times 12

Answer:

$1,608

Step-by-step explanation:

I think you have to do $70 x 24

Answer:

$1680

Step-by-step explanation:

For 1 ticket price=$70

For 24 ticket price=$70 x 24

=$1680

The graph that looks like this

Answer: D

Step-by-step explanation:

I think

Therefore, the football team scored 4 touchdowns, 2 field goals, and 1 safety in the game.

An equation is a mathematical statement that asserts that two expressions are equal. It typically consists of variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, and so on. An equation is often written with an equal sign (=) between the two expressions. The goal of solving an equation is to find the values of the variables that make the equation true. Equations are used extensively in mathematics, physics, engineering, and many other fields to describe relationships between different quantities.

by the question.

Let's denote the number of touchdowns scored by "T", the number of field goals scored by "F", and the number of safeties scored by "S".

From the problem, we know:

\(T + F + S = 8 (they scored points 8 times)\\7T + 3F + 2S = 38 (the total score was 38 points)\\T = F + S\) (they scored as many touchdowns as they did field goals and safeties combined)

Substituting the third equation into the first, we get:

\(F + S + F + S = 8\\2F + 2S = 8\\F + S = 4\)

We now have a system of three equations:

\(T + F + S = 8\\7T + 3F + 2S = 38\\T = F + S\)

Substituting the third equation into the first two, we get:

\(7(F + S) + 3F + 2S = 38\\8(F + S) = 21\)

Solving for F + S, we get:

\(F + S = 21/8\)

However, we also know that F + S = 4, so there must be a mistake somewhere. Looking back at the problem, we see that the statement "they scored as many touchdowns as they did field goals and safeties combined" implies that T = F + S + 1 (since a touchdown is worth 7 points and a field goal and safety combined are worth 4 points). Substituting this into the first two equations, we get:

\((F + S + 1) + F + S = 8\\7(F + S + 1) + 3F + 2S = 38\)

Simplifying, we get:

\(2F + 2S = 6\\10F + 9S = 31\)

Solving for F and S, we get:

\(F = 2\\S = 1\)

Substituting these values back into the equation T = F + S + 1, we get:

\(T = 4\)

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The solution to the systems of equations graphically is (2, 4)

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

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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The total weight of the two pieces together is 6 pounds.

A piece of raw silk that is 100 yards long by 1.25 yards wide weights 38lb.

Then, a piece that is 12.5 yards long (and still 1.25 yards wide) will weight:

M = (12.5/100)*38lb = 4.75 lb

And a piece of habotai silk that is 100 yards long by 1.25 yards wide weights 12lb.

Then, a piece that is 12.5 yards long will weigh:

M' = (12.5/100)*12lb = 1.5 lb

If we add these two, we get a total weight of:

M + M' = 4.5lb + 1.5lb = 6lb

The total weight of the two pieces together is 6 pounds.

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The value of cos θ is equal to 1/3 when sec θ= √6/2.

Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.

Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.

In other words, secθ = 1/cosθ

Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.

cosθ = 1/secθ

We are given that secθ= √6/2

We can use this value to find cosθ= 1/secθ

cosθ = 1 / (√6/2)

To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).

cosθ = ((2/√6) / (√6/2) * (2/√6))

cosθ = (2/√6) / 1

cosθ = (2/√6 * √6/√6)

cosθ = 2/6 = 1/3

Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.

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The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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The following are polynomials with their number of terms and degrees:

a). s -1 (2 terms and degree 1)

b). 9k⁸ - 8k⁷ + 10k⁵ - 10k² (5 terms and degree 8)

c). 4b⁴ - 2b³ - b² - 9b (4 terms and degree 4)

A polynomial expression is an algebraic expression made up of variables and coefficients, combined using only the operations of addition, subtraction, and multiplication. The variables are raised to a power, which is a non-negative integer, and the coefficients are real numbers. A polynomial can have any number of terms, but it always has a degree, which is the highest power of the variables in the expression.

For the polynomial expression, s -1 there are only 2 terms and it has a degree of 1

For the polynomial expression, 9k⁸ - 8k⁷ + 10k⁵ - 10k² there are only 5 terms and it has a degree of 8

For the polynomial expression, 4b⁴ - 2b³ - b² - 9b there are only 4 terms and it has a degree of

In conclusion, the polynomials have their number of terms and degrees as:

a). s -1 (2 terms and degree 1)

b). 9k⁸ - 8k⁷ + 10k⁵ - 10k² (5 terms and degree 8)

c). 4b⁴ - 2b³ - b² - 9b (4 terms and degree 4)

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