Rupert bought a watch for 7 dollars and 58 cents and sold it for 37 dollars and 90 cents, what is the ratio of selling price to cost price in its simplest form ?​

Answer:

6x^2 +7x-20

Step-by-step explanation:

Answer:

6x^2 + 7x - 20

Step-by-step explanation:

First Terms: 2x * 3x = 6x^2

Out Side: 2x * -4 = -8x

Inside: 5*3x = 15x

Last:  5* - 4 = - 20

Answer: 6x^2 - 8x + 15x - 20

Answer: 6x^2 + 7x - 20

Answer:

$15

Step-by-step explanation:

Total distance to be covered = 150km

Fuel efficiency = 6 km per l

150 / 6 = 25

Total fuel cost needed (including existing fuel) = Fuel needed x cost per l fuel

= 25 x 0.6

= 15

The function f(x) = 3x⁴ + 5x³ - 4x² - 5x - 2 has a local maximum at the point (-1, -2). This is determined by finding the critical points and evaluating the second derivative at those points. The ALEKS graphing calculator can be used to visually confirm this result.

The function f(x)=3x⁴+5x³-4x²-5x-2 is a polynomial function. To find the local maxima of this function, we can use the following steps:

1. Find the first derivative of the function, f'(x).

2. Set f'(x) equal to 0 and solve for the critical points of the function.

3. Evaluate f''(x) at each critical point. If f''(x) < 0 at a critical point, then the function has a local maximum at that point.

The first derivative of f(x) is f'(x) = 12x(x - 1)(x + 1). Setting f'(x) equal to 0, we get the critical points x = 0, x = 1, and x = -1.

Evaluating f''(x) at each critical point, we get:

Therefore, the function f(x) has a local maximum at x = -1. The corresponding point is (-1, -2).

The ALEKS graphing calculator can be used to verify this result. The graph of the function is shown below. The point (-1, -2) is the only point on the graph where the function changes from increasing to decreasing. This indicates that the function has a local maximum at this point.

graph of the function f(x)=3x⁴+5x³-4x²-5x-2

Therefore, the only point (x, f(x)) where there is a local maximum is (-1, -2).

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The number of terms in this arithmetic series is equal to 20.

The last term of this arithmetic series is equal to 79.

Mathematically, the sum of an arithmetic sequence is calculated by using this expression:

Sn = n/2(2a₁ + (n - 1)d)

Where:

Substituting the given parameters into the sum of an arithmetic sequence formula, we have the following;

820 = n/2(2(3) + (n - 1)4)

820 = n/2(6 + 4n - 4)

1,640 = n(2 + 4n)

1,640 = 2n + 4n²

820 = n + 2n²

2n² + n - 820 = 0

By solving the quadratic equation using the quadratic formula, we have:

x = 20 or x = -20.5

For the last term, we would use the following formula:

aₙ =  a₁ + (n - 1)d

a₂₀ =  3 + (20 - 1)4

a₂₀ =  3 + (19)4

a₂₀ = 79.

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Complete Question:

The first term of an arithmetic series is 3, the common difference is 4 and the sum of all the terms is 820. Find the number of terms and the last term.

Answer:

To determine whether the geometric series [infinity] (2^n)(6n+1), n=0, is convergent or divergent, we can use the ratio test.

The ratio test states that if the limit of the absolute value of the ratio of the (n+1)th term to the nth term is less than 1, then the series is convergent. If the limit is greater than 1, the series is divergent. If the limit is equal to 1, the test is inconclusive.

Let's apply the ratio test to this series:

|(2^(n+1))(6(n+1)+1)|

--------------------- = |2 * 6n + 13|

 |(2^n)(6n+1)|

As n approaches infinity, the absolute value of the ratio simplifies to:

|2 * 6n + 13|

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

 |2^n|

Dividing both the numerator and denominator by 2^n, we get:

|6n/2^n + 13/2^n|

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

       1

As n approaches infinity, 6n/2^n approaches 0, and 13/2^n approaches 0. Therefore, the limit of the absolute value of the ratio is 0 + 0 = 0, which is less than 1.

Since the limit of the absolute value of the ratio is less than 1, the series [infinity] (2^n)(6n+1), n=0, is convergent.

Answer:

Since it is a double negative, you add the two together. First, you must find the LCD though. Which is 10. So you multiply the left side by 2. This comes out to 18/10 - (-6/10) but since there's two negatives, you add them, so it's 18/10 + 6/10 = 24/10 = 12/5

Step-by-step explanation:

The answer is 12/5 (top is explaining how I got there.)

Answer:

12/5

Step-by-step explanation:

9/5 - (-6/10)

Subtracting a negative is like adding

9/5 + 6/10

Simplify 6/10 by dividing the top and bottom by 2

9/5 + 3/5

12/5

Answer:

P=33-11

Step-by-step explanation:

given that Daniel owes her $33

a third of $33

is 1/3*33

=$11

now let the amount Daniel will owe her after giving her a third of the debt be P

therefore the expression to find how much Daniel owes her will be

P=33-1/3*33

simplifying the expression we have

P=33-11

P=$22

Daniel will owe her $22

Answer: C

Step-by-step: maybe it's c

Using the formula of area of a circle, about 226.08in² has been eaten

The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:

Area = π * r²

where π is approximately 3.14 and r is the radius of the circle.

Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.

Let's calculate the area of the entire pizza first:

Area = 3.14 * 12²

Area = 3.14 * 144

Area ≈ 452.16 square inches

Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:

Area of half of the pizza = 452.16 / 2

Area of half of the pizza ≈ 226.08 square inches

Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.

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Simple interest analysis reveals that

a) The installment was $321.53 per month.

b) The total amount of the payments is $11,575.

c) Interest was paid of $1,575.

After t years, the amount of simple interest is calculated using:

A(t) = p(1 + rt)

that where:

The initial deposit is known as the primary, or P.

The interest rate in decimal form is r.

In this issue:

Hence, a $10,000 loan.

APR of 5.25%, which equals 3 years, therefore

Item c:

The result is A(3), so:

A(t) = P( 1 + rt)

A(3) = 10000[ 1 + 0.0525(3)]

A(3) = 11575

The total amount of the monthly installments is $11,575.

Item d:

I = A(3)  - P = 11575 - 10000 = 1575

When interest is calculated, the principal is removed, so:

Interest was paid of $1,575.

Item b:

36 payments were made over a period of 3 years, or 3 x 12 months.

Item a:

11575/3 = 321.53

The amount due each month was $321.53.

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Answer:

45.5

Step-by-step explanation:

i passed

Answer:

D) horizontal compression by a factor of 1/4, and a translation 27 units down

Step-by-step explanation:

Got this right on edge.

Answer: The new length is: (y - x) metres.

Step-by-step explanation:

If we have a piece of string that is y metres long, and we cut x metres of strings from it, then the new length of the string will be equal to the difference between the initial length and the amount that we cut off.

So the initial length is y metres.

We cut x metres.

The new length is: (y - x) metres.

Therefore, As a result, the answer to the given equation problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

Define equation .

A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.

Here,

The formula is: 1/j +1/j+ 21 = 11/ 4.

LCM = j+21+j / j(j+21)=1/14

Thus, 2j+21 / j(j+21) = 1/14 is obtained.

14(2j+21) times itself yields j(j+21).

28j+294 expanded to j²+21j

Gather comparable terms

j²+21j-28j-294=0

j²- 7j-294=0

With the use of a graphing calculator, we have:

j = 21 or j= -14

Due to the context,

j's value cannot be negative.

As a result, the answer to the given equation's problem is Jay would need to work alone for 21 minutes to remove the snow from the driveway.

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Answer:

Solution given:

2y+1=17

subtracting both side by 1

2y+1-1=17-1

2y=16

dividing both side by 2

2y/2=16/2

y=8

Answer:

B and D

(The ratio of cats to birds is greater than the ratio of ferrets to birds; The ratio of ferrets to cats is less than the ratio of dogs to cats)

hope this helps :)

Answer:

it is

Step-by-step explanation:

b

d

oof whats that

Step-by-step explanation:

Answer:

the answer for this problem should be half of 3.1 sense 2.5 is half of 5 so split 3.1 in have to get 1.55. hope this helps.

The number of miles that is equal to 2.5 km will be 1.55 miles.

A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.

Christof walks 2.5 kilometers to the library. He knows that 5 kilometers are approximately 3.1 miles.

Then we have

Let x be the number of miles that is equal to 2.5 km. Then we get

x/2.5 = 3.1/5

      x = 1.55 miles

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1. (A)  Section titles  (lines starting with %% followed by a space and then a title).

2. (B)  Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

The source of the section headers in the resulting document when publishing a script from the MATLAB Editor is:

a. Section titles (lines starting with %% followed by a space and then a title).

The statement that is not true about the purpose of code in the MATLAB Editor is:

b. Automatically pause code execution at the start of each section when running a script. (This is not a purpose of code in the MATLAB Editor.)

3. The commands that return a matrix of the same size as x, given a non-scalar matrix X, are:

a. mean(x)

b. sin(x)

c. log(x)

d. sum(x)

e. std(x)

f. sqrt(x)

All these functions operate element-wise on each element of the matrix X and return a matrix of the same size.

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The sphere can be considered as the strongest shape in nature

There are several shapes that are used when the aspect of  strength is important. The arc is the strongest structural shape, and in nature, the sphere is the strongest 3-d shape. This is due to the stress which is distributed equally along the arc instead of concentrating at any one point.

The triangle has three corners to support its load, the square has four, the hexagon has six and the octagon has eight corners whereas the circle can be considered as having 360 corners. So, the circle is by far the strongest shaped column.

Therefore, the strongest shape is the Sphere.

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Answer:

2

Step-by-step explanation:

take any point

i am taking F

coordinate of F is (5 , 3)

F' is (10,6)

so use formula

(x , y) = (kx , ky)

(5 , 3) = (5k , 3k) = (10 , 6)

compare corresponding elements

5k = 10

k = 10/5

k = 2

3k = 6

k = 6/3

k = 2

note here k means scale factor

To determine if linearization is appropriate, you can visually inspect the relationship between the variables using scatter plots or conduct statistical tests to assess linearity. In this case, with an R-value of 0.977, indicating a strong linear relationship, it may not be necessary to linearize the model. However, if there were indications of nonlinearity or if the research question requires a linearized model for interpretability or simplification purposes, then using a linearized model would be a reasonable choice.

When analyzing data and fitting a regression model, sometimes it may be appropriate to use a linearized model instead of a linear model. The decision to use a linearized model depends on the nature of the relationship between the variables and the objectives of the analysis. Here are a few reasons why one might opt for a linearized model:

1. Simplifying complex relationships: Linearized models can help simplify complex relationships between variables by transforming the data into a linear form. This can make it easier to interpret the relationship and make predictions. For example, if the original data shows a nonlinear relationship, such as exponential or power-law growth, a linearized model can transform the data to make it linear.

2. Assumption of linearity: Linear regression assumes a linear relationship between the independent and dependent variables. If there is evidence to suggest that the relationship is not linear, using a linearized model can help address this assumption violation. By transforming the data, it may be possible to achieve a better fit to the linear model assumptions.

3. Model interpretability: Linearized models often have more straightforward interpretations compared to nonlinear models. This can be especially useful when presenting or communicating results to stakeholders who may not have a strong statistical background.

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Answer:

It is an obtuse triangle I think because

The type of transformation that maps  triangle ABC in to triangle A'B'C' is reflection

When triangle A'B'C' is reflected across line x = -2 to form triangle A'' B''C''. vertex B'' of triangle A''B''C'' will have same coordinates as B'

A transformation in a coordinate plane is a function that converts inputs (pre-  image points) to outputs (image points) (outputs). Because the pre-image and the image are congruent for each of those transformations, translations, reflections, and rotations all preserve distance and angle measure.

The transformation known as reflection flips a shape in a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its reflected point.

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Answer:

-25

Step-by-step explanation:

Answer:

Hey there!

When we have a^b, b is the power.

Thus, in -5^2, 2 is the power.

Let me know if this helps, or if you need more help :)

Index is an element's numeric position within an array. The correct answer is B.

When an array is created, each element is assigned an index or position, starting from zero for the first element and incrementing by one for each subsequent element.

The index allows for easy access to specific elements within the array, by specifying the index value as an argument when referencing or manipulating elements. The index of an element is an important concept in computer programming and is used extensively in array-based data structures and algorithms.

Therefore the correct option is b

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Answer:

\((x+2)^2+(y+1)^2=1\)

Step-by-step explanation:

Equation of a circle:

Plug in known information:

\((x-h)^2+(y-k)^2=r^2\)

\((x-(-2))^2+(y-(-1))^2=(1)^2\)

\((x+2)^2+(y+1)^2=1\)

The option that gives the greater distance is 6 diagonal runs.

A rectangle is a 2-dimensional quadrilateral with four right angles and two diagonals of equal length that bisect each other.

The diagonal of a rectangle divides a rectangle into two right triangles. In order to determine the length of the diagonal, the Pythagoras theorem would be used.

The Pythagoras theorem: a² + b² = c²

Where:

a = length

b = base

c = hypotenuse

125² + 85²

=

15,625 + 7,225 = 22,850

c =√ 22,850 = 151.16

Total distance run if you run 6 diagonal runs = 151.16 x 6 = 906.97m

Total distance run if you run 7 field runs = 85 x 7 = 595

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The p-value of the test statistic is given as follows:

0.0072.

The test statistic is calculated as follows:

\(t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}\)

In which:

The parameters for this problem are givne as ofllows:

\(\overline{x} = 35400, \mu = 31400, s = 4700, n = 14\)

Hence the test statistic is given as follows:

\(t = \frac{35400 - 31400}{\frac{4700}{\sqrt{14}}}\)

t = 3.18.

We have a two-tailed test, as we are testing if the mean is different of a value, with t = 3.18 and 14 - 1 = 13 df, hence the p-value is given as follows:

0.0072.

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Answer:

Your correct answer is 169.65 square units.

Step-by-step explanation:

Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.

Here is proof that I am correct:

Answer:

54 pi

Step-by-step explanation:

khan