As an estimation we are told £3 is €4.
Convert £10.70 to euros.
Give your answer rounded to 2 DP.

Answer:

27and 28

for your question ⁉️

The requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.

Here,
Given expression,
= aⁿ +aⁿ⁺¹

In order to factor the above expression we are using the property,
x²  = x¹ (x¹)

So,
= aⁿ + a.aⁿ

Now, taking aⁿ common,

= aⁿ(1 + a)

So, aⁿ and (1 + a) are the requried factors.

Thus, the requried factor of the given expression aⁿ +aⁿ⁺¹ is given as aⁿ and (1 + a)

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Answer:

--------------

Average speed equation:

Substitute 350 for d and 5.15 for t:

The average speed must be approximately 68 km per hour.

Answer:

5 yd

Step-by-step explanation:

Use Pythagorean theorem,

Hypotenuse² = base² + altitude²

                      = 3² + 4²

                       = 9 + 16

                       = 25

Hypotenuse = √25 = √5*5 = 5 yd

Answer:

When y = 20 ,x is −5

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Hard work can boost your personal and professional growth. If we work hard, we deserve respect because you set an example for others.

Working hard will give you a sense of accomplishment, fulfillment, and self-satisfaction. Working hard can help you stay positive and confident.

1. Personal Workforce Development:

Work, by its very nature, offers challenges and opportunities for growth. It asks us to improve and grow, to become a better version of ourselves. The older we grow, the better our job and the greater the challenges.

2. Our work benefits society:

Our work benefits society. It serves others, enriches life and advances everyone. Whether it's packing groceries, delivering mail, analyzing inventory, treating cancer, or managing other employees, we can all view our work as an act of love for those we we serve.

3. Hard work is a role model for our children:

When we try to do our best every day, our children notice. One of the biggest traits I hope to pass on to my children is the importance of striving to do important things.

4.Work hard at work to work hard in life.

When we commit to hard work, we learn important life lessons: determination, focus, responsibility, problem solving, and self-control all come to mind. These lessons serve us in other areas (health, relationships, hobbies, etc.)

5.Work hard to get the most out of your time.

They will pass anyway. With every new day comes an important choice: either we fill it with the best things, or we let it slip away. There was no choice - time was running out anyway. Difficult work choices make the most of it.

6. The work itself is satisfying.

In my opinion, there is nothing more satisfying in life than lying down at night with tired legs and a tired body. Knowing that I've given my all for something important is a wonderful feeling and a sense of accomplishment in itself.

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Answer: m=5x-10

Step-by-step explanation: money spent =5(x-2)

money spent=m

m=5(x-2)

m=5x-10

When y = 12, the value of x is 3.

When two variables, x and y, vary inversely, it means that as one variable increases, the other variable decreases in such a way that their product remains constant.

In this case, we are given that x and y vary inversely. We are also given a specific pair of values: when x = 4, y = 9. We can use this information to find the constant of variation, which will allow us to determine the value of x when y is given as 12.

Let's denote the constant of variation as k. According to the inverse variation relationship, we have:

x * y = k

Substituting the given values, we have:

4 * 9 = k

36 = k

Now that we have determined the constant of variation, we can find x when y = 12. Using the same relationship:

x * y = k

Substituting y = 12 and k = 36, we have:

x * 12 = 36

To solve for x, we divide both sides of the equation by 12:

x = 36 / 12

x = 3

Therefore, when y = 12, the value of x is 3.

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If A = \(PDP^{-1}\), Then \(A^{k}\) = \((PDP^{-1}) ^{k}\) = \(PDP^{-1}\)\(PDP^{-1}\) .....\(PDP^{-1}\) = \(PD^{k} P^{-1}\)since \(P^{-1}\) P = I, the identity matrix.

Further, the representation can be made as in the following attachment.

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Borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.

In the given scenario, there are two banks offering 20-year, $210,000 mortgages at 4.4 percent interest. The banks charge a $3,100 loan application fee. However, there is a difference between the banks regarding the refundability of the application fee.

Insecurity Bank and Trust: This bank charges a $3,100 loan application fee, which is refundable if the loan application is denied. In this case, the fee is considered part of the loan rather than a separate fee.

I. M. Greedy and Sons Mortgage Bank: This bank also charges a $3,100 loan application fee, but it is nonrefundable, meaning it will not be returned if the loan application is rejected.

The disclosure law requires that any fees that will be refunded if the applicant is rejected must be included in calculating the Annual Percentage Rate (APR). This is because these fees are considered part of the loan amount and have an impact on the overall cost of borrowing.

On the other hand, nonrefundable fees like the one charged by I. M. Greedy and Sons Mortgage Bank are not required to be included in the APR calculation. This is because these fees are treated as separate costs that are not directly part of the loan.

When comparing mortgage offers and determining the true cost of borrowing, it is important to consider not only the interest rate but also any associated fees. By including refundable fees in the APR calculation, borrowers can make more accurate comparisons between different loan options and understand the overall cost they will incur over the life of the loan.

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Step-by-step explanation:

Because you're trying to prove the value of X, you work backwards. here's what you do

When working backwards, PEMDAS becomes SADMEP

First, add 14 to 43 (57).

Then, divide 57 by 3 to get 19.

x = 19!

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, and equals:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 14 to both sides of the equation:

3x - 14 (+14) = 43 (+14)

3x = 43 + 14

3x = 57

Next, divide 3 from both sides of the equation:

(3x)/3 = (57)/3

x = 57/3

x = 19

~

Proof: Plug in 19 for x in the equation for x:

3(19) - 14 = 43

First, multiply:

(3 * 19) - 14 = 43

(57) - 14 = 43

Next, subtract:

57 - 14 = 43

43 = 43 (True).

~

Answer:

1) The probability that at least 2 support Green is 1 minus the probability that 0 people or 1 person supports Green

2) The probability that exactly 1 person supports Green

Step-by-step explanation:

No, the presence of an effect does not necessarily imply that error variance will go away.

The presence of an effect does not necessarily imply that error variance will go away. In fact, error variance is an inherent part of any statistical model and represents the amount of variation in the response variable that is not explained by the predictor variables.

Even if a predictor variable has a significant effect on the response variable, there may still be some unexplained variation in the response that is attributable to error variance.

It is important to take into account and control for error variance in any statistical analysis, as it can affect the precision and accuracy of the estimates of the model parameters and can also influence the interpretation of the results.

One way to control for error variance is to use appropriate statistical methods, such as analysis of variance (ANOVA), regression analysis, or other modeling techniques that take into account the variability in the data.

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1.823 radians  are the coordinates of A and A,  The coordinates of B' are; B' = (-3 * 4, -2 * 4) = (12, -8)  

a) To enlarge a triangle with a scale factor of 4, we need to first enlarge the original triangle by a scale factor of 1, and then reflect it across the y-axis.

The coordinates of A can be found using the law of sines:

sin(A) = (a/2) / sin(c)

where a is the semi-perimeter of the original triangle, c is the semi-perimeter of the enlarged triangle, and sin(A) is the length of side A.

Substituting the given values, we get:

sin(A) = (4/2) / sin(6)

= 2 / 3 sin(6)

sin(6) = (a/2) / sin(A)

= (4/2) / 2 / sin(2)

= (4/2) / 2 * sin(2) / sin(A)

= (4/2) * sin(A) / sin(2)

= 4 * sin(A) / 3

Therefore, the length of side A is:

A = sin^-1(4 * sin(A) / 3)

= sin^-1(4) - sin^-1(sin(A) / 3)

= 1.823 radians

To find the coordinates of A', we can reflect the point A across the y-axis. The reflection is given by the equation:

(x, y) -> (-x, y)

Substituting the coordinates of A, we get:

A' = (-1.823, 1.823)

b) To find the coordinates of B', we need to find the coordinates of B first. We can do this by reflecting the point B across the y-axis using the equation:

(x, y) -> (-x, -y)

Substituting the coordinates of B, we get:

B = (-3, -2)

The coordinates of B' are:

B' = (-3, -2)

Since the triangle is enlarged with a scale factor of 4, the coordinates of B' will be multiplied by 4. Therefore, the coordinates of B' are:

B' = (-3 * 4, -2 * 4) = (12, -8)  

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Answer:

The answer is B.

Step-by-step explanation:

The circle is filled in so we know the answer cannot be A. All the numbers after 4 are greater than or equal to 4. The arrowing is pointing toward the numbers after 4.

The expressions equivalent to 6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 are 1296\cdot396\cdot2376 and 839808\cdot36.

We can use the associative property of multiplication to group the factors in different ways while preserving their product. For example, we can group the first four 6's together and then multiply by the remaining 6 and 66:

6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6)\cdot(6\cdot66)\cdot(6\cdot6\cdot66)

= 1296\cdot396\cdot2376

Alternatively, we can group the last two 6's together and then multiply by the remaining factors:

6\cdot6\cdot6\cdot6\cdot66\cdot6\cdot6\cdot6\cdot66 = (6\cdot6\cdot6\cdot6\cdot66)\cdot(6\cdot6)

= 839808\cdot36 is the equivalent expression.

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Answer:

Step-by-step explanation:

the " Slime"  has a  negative slope  :P

also when it goes on over to the left one, it goes down 2

so that's    a slope of  -2  

The given mathematical expression is evaluated for the input values (2, 4). The result of the expression is calculated using various operations such as addition, multiplication, square root, natural logarithm, minimum, maximum, and function composition.

The expression f(x1, x2) involves several mathematical operations. Let's evaluate each part of the expression step by step:

1. The first term is 421 + 222, which equals 643.

2. The second term is 3x² + 213. Plugging in x1 = 2 and x2 = 4, we get 3(2)² + 213 = 3(4) + 213 = 12 + 213 = 225.

3. The third term is 5x11². Substituting x1 = 2 and x2 = 4, we have 5(2)(11)² = 5(2)(121) = 1210.

4. The fourth term is (√₁+√₂)². Replacing x1 = 2 and x2 = 4, we obtain (√2 + √4)² = (1 + 2)² = 3² = 9.

5. The fifth term is 10ln(₁). Plugging in x1 = 2, we have 10ln(2) = 10 * 0.69314718 ≈ 6.9314718.

6. The sixth term is (x₁+x₂)(x² + x3). Substituting x1 = 2 and x2 = 4, we get (2 + 4)(2² + 4³) = 6(4 + 64) = 6(68) = 408.

7. The seventh term is min(3r1, 10√2). As we don't have the value of r1, we cannot determine the minimum between 3r1 and 10√2.

8. The eighth term is max{5x1,2r2}. Since we don't know the value of r2, we cannot find the maximum between 5x1 and 2r2.

9. Finally, we have MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2), which are not defined or given.

Considering the given expression, the evaluated terms for the input values (2, 4) are as follows:

- 421 + 222 = 643

- 3x² + 213 = 225

- 5x11² = 1210

- (√₁+√₂)² = 9

- 10ln(₁) ≈ 6.9314718

- (x₁+x₂)(x² + x3) = 408

The terms involving min() and max() cannot be calculated without knowing the values of r1 and r2, respectively. Additionally, MP1(x1, x2), MP2(X1, X2), and TRS(x1, x2) are not defined.

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The half life period is the time in which only half of the given population remains. It can be represented through this equation:

\(f(t)=a\times(1/2)^{\frac{t}{h}}\)

We're given:

For most questions like this, we would have to plug these values into the equation mentioned above. However, this question asks for the time elapsed after 3 half-lives.

This can be calculated simply by multiplying the given half-life by 3:

28 million years x 3

= 84 million years

84 million years

TRUE: The given condition is correct that m ≤ 10 and m > 4.

For the given statement;

m ≤ 10 and m > 4, the number for the value of m be;

m = 5, 6, 7, 8, 9, 10.

Thus, the given condition is correct that m ≤ 10 and m > 4.

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A)  annual percentage increase in the winner's check over this period is approximately 11595652.17%.

B)   if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

a. To find the annual percentage increase in the winner's check over this period, we can use the formula:

Annual Percentage Increase = ((Final Value - Initial Value) / Initial Value) * 100

First, let's calculate the annual percentage increase in the winner's check from 1899 to 2020:

Initial Value = $23
Final Value = $2,670,000

Annual Percentage Increase = (($2,670,000 - $23) / $23) * 100

Now, we can calculate this value using the given formula:

Annual Percentage Increase = ((2670000 - 23) / 23) * 100 = 11595652.17%

Therefore, the annual percentage increase in the winner's check over this period is approximately 11595652.17%.

b. If the winner's prize increases at the same rate, we can use the annual percentage increase to calculate the prize money in 2055. Since we know the prize money in 2020 ($2,670,000), we can use the formula:

Future Value = Initial Value * (1 + (Annual Percentage Increase / 100))^n

Where:
Initial Value = $2,670,000
Annual Percentage Increase = 11595652.17%
n = number of years between 2020 and 2055 (2055 - 2020 = 35)

Now, let's calculate the prize money in 2055 using the given formula:

Future Value = $2,670,000 * (1 + (11595652.17 / 100))^35

Calculating this value, we find:

Future Value = $2,670,000 * (1 + 11595652.17 / 100)^35 ≈ $3,651,682,684.48

Therefore, if the winner's prize increases at the same rate, it will be approximately $3,651,682,684.48 in 2055.

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Answer:

2  different rectangular prisms

Step-by-step explanation:

considering the factors of 10:

1, 2, 5, and 10

He could build 2 different rectangular prisms with the following arrangements of unit cubes:

l x w x h

10 x 1 x 1

5 x 2 x 1

The 85% confidence interval that the true mean number of words a third grader can read per minute is between 30.131 and 30.869.

To create a confidence interval for the mean number of words a third grader can read per minute, an educational psychologist wishes to know the mean number of words a third grader can read per minute. She intends to produce an estimate at an 85% level of confidence.

For a sample of 146 third graders, the mean words per minute read was 30.5. Assume a population standard deviation of 3.1.

To create a confidence interval, the following formula can be used:

µ±z_α/2*σ/√n

Here, we are given the following details:

Sample size: n = 146

Mean: µ = 30.5

Population standard deviation: σ = 3.1

Level of confidence: α = 1 - 0.85 = 0.15

We need to determine the critical value of z_α/2.

α/2 ⇒ 0.15/2 ⇒ 0.075

Using a standard normal distribution table, we find that the value of z_0.075 is 1.44.

Confidence Interval: µ ± z_α/2*σ/√n

⇒ 30.5 ± 1.44 × (3.1/√146)

⇒ 30.5 ± 0.369

Thus, the confidence interval for the mean number of words a third grader can read per minute is (30.131, 30.869).

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Answer: (x 1 ,y 1)=(2,3) and (x 2,y 2)=(4,7)by midpoint formula, coordinates of mid point =( 2x 1+x 2, 2y 1 +y 2)=( 22+4, 23+7 )=( 26 , 210)=(3,5).

Step-by-step explanation: Hope this helps

Answer:

(1,-2) is the answer to your question of finding the MID point of the line of joining points

Step-by-step explanation:

Answer:

153.86 ft²

Step-by-step explanation:

Formula to find the area of a circle is :

Here,

r ⇒ radius ⇒ 7 ft

Let us solve now.

A = π r²

   = 3.14 × 7 × 7

   = 21.98 × 7

   = 153.86 ft²

Given :

\( \\ \\ \)

To find :

\( \\ \\ \)

We know :-

\( \bigstar \boxed{ \rm Area~of \: a~circle = \pi {r}^{2} }\)

\( \\ \\ \)

So:-

\( \dashrightarrow\sf Area~of \: a~circle = \pi {r}^{2} \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of \: a~circle = \pi \times {7}^{2} \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of \: a~circle = \pi \times 7 \times 7 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of \: a~circle = \pi \times 49 \\ \)

\( \\ \\ \)

\( \dashrightarrow\sf Area~of \: a~circle = 3.14 \times 49 \\ \)

\( \\ \\ \)

\( \dashrightarrow\bf Area~of \: a~circle = 153.86 {feet}^{2} \\ \)

Answer:

67

Step-by-step explanation:

we are given adjacent and opposite sides. thus tan^-1 would be used to determine the angle

opposite side = 665 - 5 = 660

adjacent side = 280

tan = opposite / adjacent

\(tan^{-1}\) (660/280) = 67

Answer:

67

Step-by-step explanation:

I took it on EDG

Given that a class has 8 girls and 2 boys. The teacher randomly picks 8 students. We need to find the probability that she will pick all girls.

To find the probability of the event, we need to use the formula for the probability of an event, which is:

P (event) = Number of favorable outcomes / Total number of outcomes Probability of picking all girls out of 10 studentsSince there are 8 girls and 2 boys in the class, the total number of students is 10.

There are only 8 girls, so the only way to pick all girls is if all 8 girls are selected out of the 10 students.

Total number of outcomes = 10 C8 = 45 (number of ways to pick 8 students out of 10) Number of favorable outcomes = 1 (since there is only one way to pick all 8 girls)

Therefore, the probability of the teacher picking all girls is:P (all girls) = 1/45 Thus, the probability of the teacher randomly picking all girls out of 8 girls and 2 boys is 1/45.

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