Rewrite the ratio 1 : 17 as an equivalent ratio of the form n: 1. Give any decimals in your answer to 2 d.p.

Step-by-step explanation:

7x-2y-4x+5y(This is what you should do)

The fitted model log( ) = 1.6 - 0.2c is equivalent to the models y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\)), y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\)), and y = 1.6 - 0.22.

The fitted model log( ) = 1.6 - 0.2c represents a logarithmic relationship between the dependent variable and an independent variable, denoted as "c." To identify equivalent models, we need to examine the given options.

Option 1: y = 21.6 - 0.25(1+\(e^(1.6-0.2c)\))

This model is equivalent to the fitted model log( ) = 1.6 - 0.2c because the right side of the equation contains the term 1+\(e^(1.6-0.2c)\), which corresponds to the exponential function e^(1.6-0.2c). The coefficient -0.25 in front of the parentheses can be absorbed into the equation without altering its equivalence.

Option 2: y = 1.6 - 0.22/(1+\(e^(1.6+0.2)\))

This model is also equivalent to the fitted model because it contains the term 1+e^(1.6+0.2) in the denominator. The coefficient -0.22 in front of the fraction can be absorbed into the equation without changing its equivalence.

Option 3: y = 1.6 - 0.22

This model is a simplified version of the fitted model. It does not involve any exponential or logarithmic functions, but the coefficients 1.6 and -0.22 remain the same as in the original equation.

Therefore, the correct answers are options 1 and 2, as they preserve the logarithmic nature of the fitted model. Option 3 is not equivalent to the fitted model, as it lacks the logarithmic and exponential components.

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Answer:

2

Step-by-step explanation:

i did it

p = 9

see explanation in image

using law of sines

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Length of p to the nearest 10th of an inch is 8.9 inches.

Sines law of a triangle defines that the ratio of the side lengths of a triangle to the sine of the opposite angles to the side lengths are equal.

a / sin A = b / sin B = c / sin C

where a, b and c are the sides opposite to A, B and C respectively.

Given is a triangle ΔPQR.

Given, ∠Q = 37° and ∠R = 12°.

Sum of the interior angles of a triangle is 180°.

∠P = 180° - (37° + 12°)

     = 131°

Using the sine law,

p / sin P = q / sin Q

p / sin (131°) = 7.1 / sin (37°)

p = (7.1 / sin (37°)) × (sin (131°))

  = 8.9 inches

Hence the length of p is 8.9 inches.

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The compound inequality for the given situation is $2.75x + $4.25y ≥ $65 and $2.75x + $4.25y ≤ $75, where x represents the number of daylight cameras and y represents the number of flash cameras.

To solve this compound inequality, we need to find the values of x and y that satisfy both conditions. The inequality $2.75x + $4.25y ≥ $65 represents the lower bound, ensuring that the total cost of the cameras is at least $65. The inequality $2.75x + $4.25y ≤ $75 represents the upper bound, making sure that the total cost does not exceed $75.

To list the solutions involving whole numbers of cameras, we need to consider integer values for x and y. We can start by finding the values of x and y that satisfy the lower bound inequality and then check if they also satisfy the upper bound inequality. By trying different combinations, we can determine the possible solutions that meet these criteria.

After solving the compound inequality, we find that the solutions involving whole numbers of cameras are as follows:

(x, y) = (10, 10), (11, 8), (12, 6), (13, 4), (14, 2), (15, 0), (16, 0), (17, 0), (18, 0), (19, 0), (20, 0).

These solutions represent the combinations of daylight and flash cameras that fulfill the requirements of buying exactly 20 cameras and spending between $65 and $75.

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The value of x: 30°

What is Parallelograms?

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

Given, two angles

let  ∠A = 3x°

∠B = (x + 60)°

Since, we know

In Parallelogram,

All the respective consecutive angles are supplementary.

Here, ∠A + ∠B = 180°

Substituting the values, we get

3x° + (x + 60)° = 180°

3x° + x° + 60° = 180°

4x° + 60° =  180°

Subtracting 60 both side

4x° + 60° - 60° =  180° - 60°

4x° = 120°

Dividing 4 both side

4x/4 = 120/4

x = 30°

Hence, The value of x = 30°

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The slope of the line y = 1/2 x - 3 is equal to 1/2.

Mathematically, the slope-intercept form of a line can be calculated by using this equation:

y = mx + c

Where:

Next, we would use an online graphing calculator to plot the given equation in slope-intercept form. By critically observing the graph (see attachment), we can logically deduce that the y-intercept is equal to -3 while the slope's line is equal to 1/2.

In conclusion, the linear function does not represent a proportional relationship because the line didn't pass through the origin (0, 0).

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The formula for the surface area of the box, in terms of the length of one side of the square base (s), is A = s^2 + 4s^2 = 5s^2.

The derivative of the surface area function with respect to s, denoted as dA/ds, gives us the rate of change of the surface area with respect to the length of one side of the base.

1. The surface area of the box consists of the area of the square base and the four equal sides. The area of the square base is s^2, and each side has a length of s. Therefore, the total surface area is given by A = s^2 + 4s^2 = 5s^2.

2. To find the derivative of the surface area function, we differentiate 5s^2 with respect to s using the power rule of differentiation. The power rule states that if we have a function f(x) = cx^n, then the derivative is f'(x) = cnx^(n-1).

  Applying the power rule, we have dA/ds = d(5s^2)/ds = 10s.

3. The derivative, dA/ds = 10s, represents the rate of change of the surface area with respect to the length of one side of the square base. This means that for every unit increase in s, the surface area increases by 10s units.

  The derivative does not provide information about minimizing the amount of material used. To find the dimensions of the box that minimize the amount of material used, we need to set up an optimization problem and solve for the critical points. This involves setting the derivative equal to zero and finding the values of s that satisfy this equation. However, since the problem statement does not provide a specific volume constraint or objective function, we cannot proceed with the optimization process.

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Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

Using the given digits only once , the four 2 digit prime numbers are 23 , 41 , 59 , 67  and the the sum of the 4 prime numbers is 190 .

Prime Numbers can be defined as numbers that is greater than 1 and whose only factors are 1 and itself .

For Example : 2 is prime number , 11 is a prime number .

In the question ,

9 digits are given as 1, 2, 3, 4, 5, 6, 7, and 9  

we have to form 4 two - digit prime numbers , using each digit only once ,

So , the prime numbers using the given digits using the digits only once is

(i) 23

(ii) 41

(iii) 59

(iv) 67

and the sum of the 4 prime numbers is = 23 + 41 + 59 + 67

= 190

Therefore , the 4 prime numbers are 23 , 41 , 59 , 67 and their sum is 190 .

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The FT of 1 meter is 3.28084 feet.

A meter is a unit of length in the metric system. It is defined as the length of the path traveled by light in vacuum during a time interval of 1/299,792,458 of a second.

In contrast, a foot is a unit of length commonly used in the imperial system. One foot is equal to 12 inches.

To convert meters to feet, we use the conversion factor of 1 meter = 3.28084 feet. This means that one meter is equal to 3.28084 feet.

So, to find the number of feet in one meter, we multiply 1 meter by the conversion factor of 3.28084 feet per meter:

1 meter * 3.28084 feet/meter = 3.28084 feet.

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Answer:

Step-by-step explanation:

OK so i have already answered it but B was incorrect i think but i did it differently and i got -20000000.

The answers in standard form are

(a) 3.45 × 10² .

(b) 6.48 × 10⁻³ .

The exponent of a number indicates how long it will take to multiply that number in its entirety. A number's power or exponent, in other words, tells how many times it must be multiplied by itself.

Any integer, fraction, or decimal can serve as the basis in this situation. Additionally, the exponent can have any value, whether positive or negative.

Given :

(a) (2.3 × 10⁴) × (1.5×10⁻²)

    =\($ 2.3\times1.5\times10^{(4-2)\)

    = 3.45 × 10² .

(b) 3.6 × 10⁻⁵× 1.8 × 10²

\(= 3.6\times1.8\times10^{(-5+2)\)

= 6.48 × 10⁻³

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Answer:

y = 10

Step-by-step explanation:

y = 5x

Let x = 2

y = 5*2

y = 10

Answer:

y = 10

Step-by-step explanation:

Consider the equation: y = 5x

It is given that x = 2. Plug in 2 for x, and multiply:

y = 5x

y = 5(2)

y = 5 * 2 = 10

y = 10

10 is your value of y when x = 2.

~

Answer:

The value of -18x + 30y is -27

Step-by-step explanation:

Algebraic Expressions

It's given that:

6x - 10y = 9

We are required to find the value of

-18x + 30y

The easiest way to solve the problem is to visualize that:

-18x = -3(6x)

30y = -3(-10y)

This means that the second expression is equal to the first expression multiplied by -3, thus:

-18x + 30y = -3(6x - 10y) = -3*9 = -27

The value of -18x + 30y is -27

The measure of the differences of all observations from the mean, expressed as a single number is called the "standard deviation". It is a commonly used measure of the amount of variability or dispersion within a set of data.

The standard deviation is calculated by taking the square root of the variance, which is the average of the squared differences between each observation and the mean.

It is expressed in the same units as the data itself, and provides a way to understand how spread out the data is from the average or mean value.

A small standard deviation indicates that the data points tend to be close to the mean, while a large standard deviation indicates that the data points are more spread out.

The standard deviation can be used to compare the variability of different sets of data, and can also be used in statistical tests to determine if the difference between two sets of data is statistically significant.

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Systematic sampling and cluster sampling are examples of probability sampling methods used in human research. These methods are employed to ensure that each participant in the population has a known, non-zero chance of being selected, which helps in obtaining representative samples and drawing more accurate conclusions.

Systematic sampling and cluster sampling are both examples of probability sampling methods used in human research.

Probability sampling methods involve randomly selecting participants from a larger population, giving each individual an equal chance of being selected.

Systematic sampling involves selecting every nth participant from a list of the population, while cluster sampling involves dividing the population into clusters or groups and then randomly selecting entire clusters to include in the study.

These methods are considered to be more representative and unbiased than non-probability sampling methods, which do not involve random selection and may not accurately reflect the characteristics of the population.

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The solution to the inequality is x ≤ -1 or x ≥ 0, which can be written in interval notation as (-∞, -1] ∪ [0, ∞).

To solve the inequality |x+3| ≥ -7x+3 ≥ -7, we first need to isolate the absolute value on the left-hand side of the inequality. We can do this by considering two cases: when x+3 is nonnegative, and when x+3 is negative.
Case 1: x+3 ≥ 0
In this case, the absolute value becomes x+3, and we have x+3 ≥ -7x+3 ≥ -7. Simplifying this inequality, we get 8x ≥ 0, or x ≥ 0.
Case 2: x+3 < 0
In this case, the absolute value becomes -(x+3), and we have -(x+3) ≥ -7x+3 ≥ -7. Simplifying this inequality, we get x ≤ -1.

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Answer:

base = 10cm and height = 10cm

Step-by-step explanation:

base + height = 20

base = height = 20/2= 10cm

Each friend will receive approximately 0.10 gallons of popcorn.

To split the 5 eighths gallons of popcorn evenly between his 6 friends, we first need to convert the fraction to a decimal. Since one eighth is equal to 1/8, 5 eighths can be written as 5/8. To convert this fraction to a decimal, we divide the numerator (5) by the denominator (8). 5 divided by 8 equals 0.625. This means that the student has 0.625 gallons of popcorn.

To find out how much popcorn each friend will receive, we need to divide the total amount of popcorn (5 eighths gallons) by the number of friends (6).

First, let's convert 5 eighths to a decimal.

One eighth is equal to 1/8, so 5 eighths is 5/8.

To convert 5/8 to a decimal, divide the numerator (5) by the denominator (8):

5 ÷ 8 = 0.625.

Now, we can divide 0.625 by 6 to find the amount of popcorn each friend will receive.

0.625 ÷ 6 = 0.10416666667

Rounded to the nearest hundredth, each friend will receive approximately 0.10 gallons of popcorn.

Each friend will receive approximately 0.10 gallons of popcorn.

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Answer:

100th term = -1485

Step-by-step explanation:

\(t_{n} = a + (n - 1)d\)

n = number of terms

= 100

a = first term

= 5

d = difference

= second term - first term

= 2 - 5

= -3

substitute the values into the formula

\(t_{100} = 5(100 - 1)( - 3)\)

\(t_{100} = 5(99)( - 3)\)

\(t_{100} = 495( - 3)\)

\(t_{100} = - 1485\)

When the residual is negative it represents the predicted value is very much high.

Therefore, the negative residual value on the regression line represents the predicted value is very much high.

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The system of equations is 5x + 6y = 34 and 4x + 6y = 32

A small page can fit 2 photographs, and a large one can fit 4 photographs.

Let the number of photographs on small pages be x and number of large pages be y

Emily plans to assemble 5 small pages and 6 large pages and brought a total of 34 photographs to use.

5x + 6y = 34....equation 1

Carrie brought 32 photographs, which is enough to assemble 4 small pages and 6 large pages.

4x + 6y = 32...,equation 2

Subtracting equation 2 from equation 1

5x + 6y - (4x + 6y) = 34 - 32

5x - 4x + 6y - 6y = 2

x = 2

5x + 6y = 34.

5(2) + 6y = 34

10 + 6y = 34

6y = 24

y = 4

Therefore, a small page can fit 2 photographs, and a large one can fit 4 photographs.

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Is (x-2) is a factor of x³-3x²-x +7 –

We are given –

\(\qquad\) \(\twoheadrightarrow\bf P(x) = x³-3x²-x +7\)

\(\qquad\) \(\twoheadrightarrow\bf Q(x) =x - 2 \)

\(\qquad\) \(\twoheadrightarrow\bf If \:Q(x) = 0\)

\(\qquad\) \(\twoheadrightarrow\bf x - 2 = 0\)

\(\qquad\) \(\twoheadrightarrow\bf x = 2\)

Now Put x = 2 into the polynomial –

\(\qquad\) \(\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}\)

\(\qquad\) \(\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5\)

\(\qquad\) \(\twoheadrightarrow\sf P(2) = 8 -12 +5\)

\(\qquad\) \(\twoheadrightarrow\sf P(2) = 13-12\)

\(\qquad\) \(\purple{\twoheadrightarrow\bf P(2) =1 }\)

________________________________________

Answer:Solution

Result will not divisible by 3

5

3

×2−8=250−8=242

If we divide 242 by 3 it will leave reminder 2.

Step-by-step explanation:

The equation is given by A = n³ - 8 , where n is a number

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be represented as n

A = 8 is subtracted from the cube of a number

Substituting the values in the equation , we get

A = n³ - 8   be equation (1)

Now , when 8 is subtracted from twice the cube of 5 , the result is not divisible by 3

So , A = 2 x 5³ - 8

A = 242 which is not divisible by 3

Hence, the equation is A = n³ - 8

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Answer:

This depends on the price of how much the tickets cost in total so if the 10 tickets cost $10 dollars then the unit price would be $1

Step-by-step explanation:

You need to divide the total number by the number 10 and then that would be your unit price.

Answer:

(-2,4)

Step-by-step explanation:

B(1,2)

(x-3, y+2)

1-3=-2

x=(-2)

2+2=4

y=4

Hope this helps! :)

Answer:

B'(-2, 4)

Step-by-step explanation:

If it goes 3 units left, that means you're doing x - 3.

If it goes 2 units up that means you're doing y + 2 This would be:

(1 - 3, 2 + 2)

(-2, 4)

Answer:

Hello! Here’s the answer:

_________________ ☽ _____________________

2.52

Step-by-step explanation:

What I did was line up 58.01

And... - 55.49

_____

Take from 8

So make it a seven.

Then make the zero into a 10.

But, make that into a 9 since you can’t subtract 1 from 9.

Make the one an eleven.

Then subtract.

You’ve got answer 2.52

Answer:

C

180 rotation about its center.

Step-by-step explanation:

The graph is a decreasing exponential graph.

Part A: The given graph is decreasing the exponential graph since the graph is decreasing rapidly as the value of x is increasing and the value of y is decreasing rapidly.

Part B: The graph shown here is maybe the case of any electric appliance which is of cheap quality. The time when it is brought then its performance and its life is awesome after that its life is decreasing rapidly.

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Complete question:

Describe a relationship that can be modeled by the function represented by the graph, and explain how the function models the relationship. Identify and interpret the key features of the function in the context of the situation you described in part A.

Answer:

y = 4x

Step-by-step explanation:

The slope is 4.  If you go up 8 on the left side and then go 3 units right, you will be on the line.  Slope is the change in y (the up) over the change in x (the right).