Which offer results in the cheapest cake: 8 cakes for £3.20 or 5 cakes for £1.90. Explain your answer​

Answer:

Step-by-step explanation:

a=2

n=0.5

2a=0

2.2=0

4=0

2a=0

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

Answer:

176800 per year

Step-by-step explanation:

There are 52 weeks in 1 year

3400 per week * 52 weeks per year

176800 per year

Answer:

$176,800

Step-by-step explanation:

3400 x 52 = 176,800

Dana cuts a block of Colby cheese into 9 equal pieces. She serves 6 pieces when the party starts, which is 2/3 of the block. She saves 3 pieces to serve later, leaving 1/3 of the block remaining.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator. The number below the line is called the denominator.

Dana cuts a block of Colby cheese into 9 equal pieces. This means that each piece is 1/9th of the block of Colby cheese.

Dana serves 6 pieces of the cheese when the party starts. So the total amount of cheese that she serves is 6 times the size of each piece, which is:

6 pieces x (1/9th of the block) = 6/9 or 2/3 of the block.

Therefore, Dana serves 2/3 of the block of Colby cheese when the party starts.

She saves 3 pieces to serve later, which means that there are still 3/9 or 1/3 of the block of Colby cheese left.

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The possible locations for the loading zone in the roller coaster section modeled by the polynomial function f(x) = x⁴ - 5x³ - 28x² + 188x - 240 can be found by identifying the zeros of the function.

Since the function has a zero at x = 5, this indicates that one possible location for the loading zone is at x = 5.

In the context of polynomial functions, a zero of a function is a value of x for which the function equals zero. To find the zeros of the given polynomial function, various methods can be used, such as factoring, synthetic division, or using numerical techniques like the Newton-Raphson method.

In this case, we are given that the polynomial function has a zero at x = 5. This means that when x equals 5, the function f(x) equals zero. Therefore, one possible location for the loading zone is at x = 5.

To determine other possible locations for the loading zone, further analysis of the polynomial function is required. This could involve factoring the polynomial, using polynomial division to find possible rational zeros, or employing numerical methods to approximate the remaining zeros. The specific steps and calculations involved in finding additional zeros would depend on the characteristics of the polynomial function.

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The equation that determines the value, V, of the doll years after purchase will be V=450(1.025)²⁰. The value of the V will be $ 737.35.

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

The fact that the exponential growth function's equation is provided by;

y=a(1+r)ˣ

Y represents the doll's worth.

The number of years is x=20

a is the starting point = $450

The rate of change is r=  2.5% =  0.025

Put the given values;

y=a(1+r)ˣ

y=450(1+0.025)²⁰

y= $ 737.35

Hence, the equation that determines the value, V, of the doll years after purchase will be V=450(1.025)²⁰. The value of the V will be $ 737.35.

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Answer:

Your answer is 4%

Step-by-step explanation:

7÷175×100 = 4

The second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

To determine which airplane has a higher altitude, we can compare the decimal parts of the altitudes provided.

The first airplane is flying at a height of 37,890.52 kilometers, and the second airplane is flying at a height of 37,890.89 kilometers. Comparing the decimal parts, we can see that 0.52 is smaller than 0.89.

In the decimal system, as the digits move to the right of the decimal point, their value decreases. So, when comparing two numbers with the same whole part (37,890 in this case), the one with a higher decimal part will be greater.

Therefore, the second airplane, with a height of 37,890.89 kilometers, has a higher altitude than the first airplane, which is at 37,890.52 kilometers.

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Answer:

Step-by-step explanation:

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Answer=4/5

The fraction of his original money does he have left = 4/5 .

What is a fraction in math?

A boy has = 800 and spends = 160

800-160=640

640/800=64/80

64/80=16/20

16/20=4/5

Therefore, his original money left =4/5

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y is sufficient for β

The probability density function (pdf) of an exponential distribution with mean β is given by:

f(y | β) = (1/β)exp(-y/β), for y ≥ 0

To show that f(y | β) is in the exponential family, we need to write it in the form:

f(y | β) = h(y)exp{θT(y) - A(θ)}

where h(y), θ, and A(θ) are functions that depend only on y, θ, and do not depend on β.

First, we can rewrite the pdf as:

f(y | β) = (1/β)exp(-y/β)

= (1/β)exp{(-1/β)y}

= (1/β)exp{(-1/β)yx}

where x = 1.

Next, we can identify the functions h(y), θ, and A(θ):

h(y) = 1

θ = -1/β

A(θ) = -log(-θ)

= -log(1/β)

= log(β)

Substituting these values, we get:

f(y | β) = exp{(-1/β)y}exp{-log(β)}

= exp{(-1/β)y - log(β)}

Therefore, f(y | β) is in the exponential family.

To show that y is sufficient for β, we can use the factorization theorem.

The joint pdf of the sample y1, y2, ..., yn is:

f(y1, y2, ..., yn | β) = (1/β)^n exp{- (y1 + y2 + ... + yn)/β}

= (1/β)^n exp{-n(ybar)/β}

where ybar is the sample mean.

Using the factorization theorem, we can write:

f(y1, y2, ..., yn | β) = h(y)g(T(y), β)

where T(y) = ∑ yi and h(y) does not depend on β.

Therefore, y is sufficient for β.

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Answer:

m = 0

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (-2, 5)

Point (4, 5)

Step 2: Find slope m

Answer:

its 0

Step-by-step explanation:

SOLUTION

The given equation is:

To graph the equation, calculate a few values of y

When x=3, it follows:

It follows that the point (0,4) is on the graph.

Following the same procdure few other possible points are:

The graph of the function is shown below:

The correct APA style for the statistical conclusion that Dr. Tebbetts should make is option B. z(N=50) = 2.27, p > .05.

Here's why:

Dr. Tebbetts is testing whether the mean creativity score of people who read fantasy novels is significantly different from the established average of 25 on the Alternate Uses Test. He gathered a sample of 50 participants and found that their mean creativity score was 33.

Since the population standard deviation is known, we can use a z-test to test the hypothesis.

The formula for the z-test is:

z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))

Substituting the values given in the problem, we get:

z = (33 - 25) / (10 / sqrt(50))

z = 2.83

The critical value of z for a two-tailed test at alpha level 0.05 is 1.96. Since our calculated z-value is greater than the critical value, we reject the null hypothesis and conclude that people who read fantasy novels have higher personal creativity as measured by the Alternate Uses Test.

The correct APA style for reporting this conclusion is:

z(N=50) = 2.27, p > .05, indicating that people who read fantasy novels have significantly higher personal creativity as measured by the Alternate Uses Test compared to the established average.

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Answer:

Step-by-step explanation:

34

Answer:

Attachment: 1 Image

Step-by-step explanation:

Based on the transformation of the given parent function f(x), the function g(x) is: C. g(x) = ∛(x) + 2

In Mathematics, the translation of a geometric figure to the right is a type of transformation which simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image while translating a geometric figure up is a type of transformation that simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

Translating the parent function f(x) = ∛(x) two (2) units up, would produce an image of function f(x):

g(x) = f(x) + 2

g(x) = ∛(x) + 2

In this context, we can reasonably infer and logically deduce that the parent function f(x) was shifted 2 units up to produce function g(x).

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Answer:

4.37

Step-by-step explanation:

the formula is c/2x3.14=R

27.475/(2x3.14)=4.37

Answer:

1, 2, 3

Step-by-step explanation:

1 + 2 + 3 = 6 and 6 is 5 more than 1. Hope this helps!

Answer:

( 1, -6 )

Step-by-step explanation:

The solution to the graph is ( 1, -6 ) as that is the point where both equations cross. To double check you can also fill in the equations with the points given and they both should solve.

There are three highways in the county. the number of daily accidents that occur on these highways are poison random variables with respective parameters . 3, . 5, and . 7 The expected number of accidents that will happen on any of these highways today is 1.5

There is a theorem that we can use to find the expected value of a random variable that is a sum of other random variables as follows.

If X= X₁ + X₂ +...... +Xₓ, then E( X)= E(X₁) +E( X₂) +...... +E(Xₓ),

In this case, let X = the number of accidents that will happen on any of those highways today,

are the numbers of accidents on each highway, respectively.

Then X= X₁ + X₂ +X₃ .

Since  are Poisson variates, their expected values are the parameters given, .3, .5 and .7.

So E(X₁) = .3 E( X₂) = .5 E(X₃)= .7

Thus, E(X)= 1.5

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1. We can use the subset A = R as the domain of the function f.

2. The data support a well-defined function.

3.  (a) f(x) = x^2 -- The function is well-defined.

(b) g(a) = 1/a --The function is not well-defined on R.

(c) h(x) = √(x-2) + 42 -- The function is not defined for any input x less than 2, so it is not well-defined on the entire domain of R.

1. To make f(x) = 3 - 7x a well-defined function, we need to ensure that the output of the function is a real number for every input in the domain.

Since the function is defined for all real numbers x, the domain of the function can also be all real numbers.

2. The data { (1,3), (2,4), (3,2), (4,1)} support a well-defined function from (1,2,3,4) to (1,2,3,4).

For a function to be well-defined, each input in the domain must correspond to exactly one output in the range.

In this case, we can see that each input in the domain (1,2,3,4) has exactly one corresponding output in the range (1,2,3,4).

3.

(a) f(x) = x^2 is a well-defined function on the domain of all real numbers, R. For every input x, the output x^2 is a real number, so the function is well-defined.

(b) g(a) = 1/a is not a well-defined function on the domain of all real numbers, R. The function is undefined at a = 0 because division by zero is not allowed. Therefore, the function is not well-defined on R.

(c) h(x) = √(x-2) + 42 is a well-defined function on the domain x ≥ 2. For every input x greater than or equal to 2, the output √(x-2) + 42 is a real number, so the function is well-defined.

However, the function is not defined for any input x less than 2, so it is not well-defined on the entire domain of R.

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Answer:

15. -140.008

16. \(j = \frac{17-15q}{4}\)

17. \(q = \frac{17 - 4j}{15}\)

Step-by-step explanation:

15. -2.3(8.6)²+ 3.5(8.6)= -140.008

16.

15q + 4j = 17

4j = 17 - 15q

\(j = \frac{17-15q}{4}\)

17.

15q + 4j = 17

15q = 17 - 4j

\(q = \frac{17 - 4j}{15}\)

Answer

well sorry cant answer the other question see if it works on here

Step-by-step explanation:

Answer:

94

Step-by-step explanation:

i might be wrong

Answer:

y = 1/3 x + 4

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

Answer:

Step-by-step explanation:

I will first answer your question with the data you have provided, then offer two other ways to solve the problem with alternative data:

You have stated that 5 miles is approximately 8 kilometers. As a ratio this is 5 mi / 8 km

Now create a proportion :

5 mi / 8 km = X mi / 60 km

Miles is to kilometers as miles is to kilometers.

Now cross multiply to solve for X.

8 X = 300

X = 37.5 miles

There are several other ways we can answer this question

The original wordle has 10657 allowed guess words. Of which 3901 words have at least one letter repeat. In other words, the probability of the word having at least one letter repeat is 36.6%  749 solution words have at least one letter repeat out of a total of 2315 solution words. the number of possible 5-tuples of 26 letters that have at least one letter repeat is "3987776."

In other words, the probability of a solution word having at least one letter repeat is 32.3%To find the number of possible 5-tuples of 26 letters with at least one letter repeat

Step 1: We will find out the number of 5-tuples that do not have any repeated lettersFor the first letter, we have 26 options. As there can be no repetitions, we have 25 options for the second letter. Similarly, for the third, fourth, and fifth letter we have 24, 23, and 22 options respectively.Therefore, the number of 5-tuples that do not have any repeated letters is given by26 × 25 × 24 × 23 × 22 = 7893600

Step 2: We will find out the number of 5-tuples that have at least one repeated letterTotal number of 5-tuples = 26^5Using the formula for finding the number of 5-tuples without any repetition, we can find the number of 5-tuples that have no repetition:26 × 25 × 24 × 23 × 22 = 7893600 Therefore, the number of 5-tuples that have at least one repeated letter is given by the total number of 5-tuples – the number of 5-tuples that have no repetitions= 26^5 - 7893600= 11881376 - 7893600= 3987776Therefore, the number of possible 5-tuples of 26 letters that have at least one letter repeat is 3987776.

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Answer:

YOU GOT THIS!!