Prove that for any natural number N, there exists N consecutive integers none of which is a power of an integer with exponent greater than one.

Answer:

The indifference point between the two options is $15,000 in sales.

Step-by-step explanation:

To determine the indifference point, first, we need to use structure the monthly income formula for each option:

Option 1:

y= 1,400 + 0.06z

Option 2:

y= 1,100 + 0.08z

Now, we equal both formulas and isolate z:

1,400 + 0.06z= 1,100 + 0.08z

300= 0.02z

$15,000= z

The indifference point between the two options is $15,000 in sales.

To find the cost of one pie, we need to divide the total cost by the number of pies. In this case, that would be $75.80 / 4 = $<<75.8/4=18.95>>18.95. Therefore, each pie cost $18.95.

Answer:

oh yayay accountiationasionisiation is the longest word that a loooot of peple kno

Step-by-step explanation:

Step 1: write out the formula

The simple interest on the loan can be calculated using the formula:

where p is the principal, in our case, it is the loan = $51000

r is the rate = 10%

t is the time = 1 year

Step2: substitute the values into the equation.

Our next step is to put the values of p, r, and t into the equation so that

Therefore, the simple interest on the loan is $5, 100

1/7 of the animals in the zoo are male monkeys.

To find the fraction of animals in the zoo that are male monkeys, we have to calculate the product of the fractions representing the proportion of monkeys and the proportion of male monkeys among them.

Given that 1/5 of the animals in the zoo are monkeys, we will then represent this as:

= 1/5

= 5/25.

And 5/7 of the monkeys are male which is written as 5/7.

To get fraction of male monkeys, we will multiply these two fractions:

= (5/25) * (5/7)

= 25/175

= 1/7.

Full question:

1/5 of the animals in the zoo are monkeys 5/7 of the monkeys are male. What fraction of the animals in the zoo are male monkeys?

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Answer:

9

Step-by-step explanation:

4-x = 5(16-x)

44-x = 80-5x

4x = 36

x = 9

The measure of the angles C and D are 60° and 190° respectively.

A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.

From the given information the measure of angle c will be,

= [90° - (1/2)m∠A].

= [90° - 30°].

= 60°.

And we know the sum of all the interior angles in a quadrilateral is 360°.

Therefore, The measure of ∠D = 360° - (60° + 50° + 60°).

m∠D = 360° - 170°.

m∠D = 190°.

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The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

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Missing part of the question

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

Answer:

2 and 3/16

Step-by-step explanation:

2/8-1/16 is 3/16

5-3=2

Answer:

35/16 2.1875

Subtract.

5 2/8- 3 1/16 = 2.1875 (35/16 as fraction)

That is the answer.

Answer:

3:8

Step-by-step explanation:

15:40

Work out the same by simplifying which they both go in 5

then doing that you can get 3/8 Or 3:8.

Hope it helps!


Spanish:

Resuelve lo mismo simplificando lo que ambos van en 5

luego haciendo eso puedes obtener 3/8 o 3: 8.

Answer:

150 people were surveyed.

45/150 = 30% of the people surveyed prefer turkey sandwiches.

B is the correct answer.

To find the maximum profit, we need to find the value of x that maximizes the expression R(x) - C(x).

R(x) - C(x) = 40 ln(4x + 1) - x/5

To find the maximum value of this expression, we need to take its derivative with respect to x and set it equal to zero:

d/dx [40 ln(4x + 1) - x/5] = 160/(4x + 1) - 1/5 = 0

Solving for x, we get:

160/(4x + 1) = 1/5

4x + 1 = 800

4x = 799

x ≈ 199.75

So the approximate number of items that should be manufactured for maximum profit is 200. The closest answer choice is D.
To find the maximum profit, we need to calculate the profit function P(x) and then find the critical points using the first derivative test.

1. Calculate the profit function: P(x) = R(x) - C(x) = 40 ln(4x + 1) - x/5
2. Calculate the first derivative of P(x): P'(x) = (40/(4x + 1))*(4) - 1/5
3. Set P'(x) = 0 and solve for x to find critical points.

(40*4)/(4x + 1) - 1/5 = 0
160/(4x + 1) = 1/5

Cross-multiplying and solving for x:
5*160 = (4x + 1)
800 = 4x + 1
x = 199.75

Since the number of items should be an integer, we'll check for the nearest integer values x = 199 and x = 200:

P(199) = 40 ln(4*199 + 1) - 199/5 = 568.57
P(200) = 40 ln(4*200 + 1) - 200/5 = 568.63

The profit is slightly higher when x = 200. Therefore, the approximate number of items that should be manufactured to maximize profit is 200 (Option D).

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Answer:

5

Step-by-step explanation:

We know that a^2+b^2=c^2 from the Pythagorean theorem   where a and b are the legs and c is the hypotenuse

4^2+3^2 = c^2

16+9 = c^2

25 = c^2

Taking the square root of each side

sqrt(25) = sqrt(c^2)

5 =c

Answer:

d = 5 m

Step-by-step explanation:

The diagonal divides the rectangle into 2 right triangles with legs 3 and 4 and hypotenuse h

Using Pythagoras' identity in one of the right triangles, then

d² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

d = \(\sqrt{25}\) = 5

The normal probability plot determines a normal distribution

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the centre of the range.

Normal distributions are symmetric, uni-modal, and asymptotic, and the mean, median, and mode are all equal

A data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean

Given data ,

Let the normal distribution be represented as N

Now , the normal probability is P

A normal probability plot, also known as a "normal plot," plots sorted data against values chosen to resemble a straight line in the final image if the data are roughly normally distributed.

Divergences from normalcy are shown by deviations from a straight line.

A straight, diagonal line means that you have normally distributed data. If the line is skewed to the left or right, it means that you do not have normally distributed data.

Hence , the normal probability plot determines a normal distribution

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If the distribution of observations were perfectly symmetrical and unimodal, option B) The mean, median, and mode would be the same.

In a perfectly symmetrical and unimodal distribution, the mean, median, and mode would be equal. This is because in such a distribution, the data would be evenly spread around a central value. The mean is calculated by summing all the observations and dividing by the total number of observations. Since the distribution is symmetrical, the sum of the observations on one side of the central value would be equal to the sum on the other side, resulting in a balanced mean.

The median is the middle value when the observations are arranged in ascending or descending order. In a symmetrical distribution, the middle value would be the same as the central value, leading to the median being equal to the mean.

The mode represents the value that appears most frequently in the distribution. In a perfectly symmetrical and unimodal distribution, all values would occur with the same frequency, resulting in multiple modes. However, since the distribution is unimodal, meaning it has only one peak, all the modes would coincide, and the mode would also be equal to the mean and median. Therefore, in a perfectly symmetrical and unimodal distribution, the mean, median, and mode would all be the same value, leading to answer B) The mean, median, and mode would be the same.

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110 is 10x bigger than 11.

To find what is 10 times bigger than 11, you can multiply 11 by 10.

11 x 10 = 110

Therefore, 110 is 10 times bigger than 11.

To clarify, "10 times bigger than 11" means you are increasing the value of 11 by a factor of 10. This is different from "10% bigger than 11," which means you are increasing the value of 11 by 10% of its original value, resulting in a new value of 12.1.

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Answer:

2+2+28+28=60 is the answer of the perimeter

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. The length of the rectangle can be 19 cm, while its width will be 17 cm.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

Let the length of the rectangle be represented by x centimeters. Given the width of a rectangle is 2 cm less than the length. Therefore, the width of the rectangle is (x-2) centimeters.

Since the perimeter of the rectangle should be greater than 28 inches, therefore,

Perimeter of the rectangle > 28 inches × 2.54 = 71.12 centimeters

Now, given the perimeter is greater than 28 inches. Therefore,

2[x+(x-2)] > 71.12

x + (x-2) > 35.56

x + x - 2 > 35.56

2x - 2 > 35.56

2x > 37.56

x > 18.78

x = 19

Thus, the length of the rectangle can be 19 cm, while its width will be 17 cms.

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The equation of the line tangent to the curve x² + y² = 100 at the point (6, 8) is y - 8 = -3/4 (x - 6).

To find the equation of the tangent line, we need to determine its slope and point of contact. The slope can be found by taking the derivative of the curve equation with respect to x.

Differentiating both sides of the equation x² + y² = 100 with respect to x:

2x + 2y(dy/dx) = 0

Next, we substitute the x-coordinate of the given point (6, 8) into the derivative expression and solve for dy/dx:

2(6) + 2(8)(dy/dx) = 0

12 + 16(dy/dx) = 0

16(dy/dx) = -12

(dy/dx) = -12/16

(dy/dx) = -3/4

Now that we have the slope (-3/4) and a point on the line (6, 8), we can use the point-slope form of the equation of a line:

y - y₁ = m(x - x₁)

Plugging in the values:

y - 8 = -3/4(x - 6)

Simplifying the equation:

y - 8 = -3/4x + 9/2

y = -3/4x + 9/2 + 16/2

y = -3/4x + 25/2

y = -3/4x + 12.5

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The saving of money required to buy the toy car will be earned by Rico in 19 days.

Let us assume the number of days required to save the needed amount of money be x. So, the expression that will form is -

Total cost = Saved amount + amount from ninong + number of days × amount of daily allowance.

Keep the values in formula to find the value of number of days.

587.50 = 150 + 200 + x×12.50

Performing addition on Right Hand Side of the equation

587.50 = 350 + 12.50x

Rewriting the equation according to variable

12.50x = 587.50 - 350

Now subtraction the values on Right Hand Side of the equation

12.50x = 237.5

Again rewriting the equation

x = 237.5/12.50

Performing division on Right Hand Side of the equation

x = 19

Thus, Rico needs 19 days to buy the toy car.

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A marketing program integrates the Marketing mix to provide a good, service, or idea to prospective buyers.  

The idea of the marketing mix is crucial to marketing theory. But explaining the idea and actually using it are two different things. Executives may use the marketing mix to make sure all aspects of their program are taken into account in a straightforward yet methodical approach.

By briefly summarizing the target market group and the components of the mix, one may sum up the core of practically any marketing plan. A marketing program is the umbrella term for the range of actions made by a business to boost sales. Every company must take this important step to make sure that their marketing initiatives are successful and meet their targeted marketing goals.

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Answer:

34 1/2

Step-by-step explanation:

Given question is incorrect; here is the complete question.

"Which of the following is a correct tangent ratio for the figure attached"

A) tan(76°) = \(\frac{24}{8}\)

B) tan (76°) = \(\frac{8}{24}\)

C) tan (24°) = \(\frac{76}{8}\)

D) tan (8°) = \(\frac{24}{76}\)

Option A will be the correct option.

   From the figure attached,

By applying tangent ratio of angle having measure 76°.

tan(76°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)

             = \(\frac{24}{8}\)

    Therefore, Option (A) is the correct option.

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This questions is testing the knowledge on place value and total value.

The two to the left of the 2 in the tens place is 100 times larger than the 2 in the 100ths place in the value.

The total value of the 2 in the tens position is 20.

The total value of the 2 in the tenth position is 0.2.

To obtain the difference, divide the 20 in the tens position to the 2 in the tenths position.

20/0.2 = 100

the 2 in the tens place represents 100 times what the 2 to its left represents.

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Answer:

irrational

Step-by-step explanation:

it can't be written as a simple fraction

Answer:

3/10 || 7/10

Step-by-step explanation:

Answer:

30%

70%

Plz mark me brainliest

Step-by-step explanation:

The total amount of Zach's paycheck was $174.

The fraction of the paycheck spent by Zach on the new video game is 2/6. The cost of the video game is $58. We need to find the total amount that Zach had in the paycheck.

A fraction is a portion of a whole or, more broadly, any number of equal pieces. An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equal sign.

Let the total amount of the paycheck be "x". Using the information above, we can form an equation as given below :

(2/6)*x = 58

x = (6/2)*58

x = 174

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Answer:

b) 360 degrees

Step-by-step explanation:

180° x 2 triangles = 360°

Answer:

3:2:5

Step-by-step explanation:

x+1:x:x+3

x=2

10-4=6/3=2

The formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

The formula =IF(A1="A",1,IF(A1="B",2,IF(A1="D",4,5))) is a nested IF statement that checks the value of cell A1 and returns a corresponding value based on the conditions.

In this case, the value of A1 is "C". Therefore, the first condition, A1="A", is not true, so the formula moves on to the second condition, A1="B". This condition is also not true, so the formula moves on to the third condition, A1="D". However, this condition is also not true, because the third condition has a typo, where there is an extra space before the "D". Therefore, the formula evaluates the final "else" option, which is 5.

Thus, the formula will return 5, because none of the conditions in the nested IF statement are true for the value of A1 being "C".

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