what is an equation equivalent to 5x-25

Answer:

6

Step-by-step explanation:

If f(n) is f(-6), that means you need to input -6 in any places that have n in them.

f(-6) = --6

Two negatives make a positive.

f(-6) = 6

Hope this helps! :)

Hello!

To find the value of f(-6)

 ==> must plug '-6' into n's position in the equation

    f(-6) = -(-6) = 6

Hope that helps!

Answer:

x = 9

Step-by-step explanation:

angle 1 plus angle 2 equals 90 because they are complementary. combining like terms gives you 8x + 18 = 90. then you get 8x = 72, which means that x equals 9

If a 10 percent cut in price causes a 15 percent increase in sales, then it is likely that the product has an elastic demand. This means that customers are highly responsive to changes in price and are willing to purchase more of the product when it is cheaper.

In this scenario, the decrease in revenue from the price cut may be offset by the increase in sales volume. However, it is important to consider the potential long-term effects on the product's brand value and profitability.

If a 10 percent cut in price causes a 15 percent increase in sales, then:

1. Calculate the new price after the 10 percent cut:
New price = Original price x (1 - 0.10)

2. Calculate the new quantity sold after the 15 percent increase in sales:
New quantity sold = Original quantity sold x (1 + 0.15)

In this scenario, the price elasticity of demand is greater than 1, indicating that the product has elastic demand. This means that a decrease in price will result in a proportionally larger increase in quantity demanded, leading to higher revenue for the seller.

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Answer:

a(5)=-48

Step-by-step explanation:

I think u r confused

this sequence is geometric not arithmetic

HOw we know that ??

when we get a common difference  that must Be equal  

d=6+3=9  not equal to  d=-12-6=-18

So it is not arithmetic

but when we get the common ratio that also must be equal

r=6/-3=-12/6=24/-12=-2   equal

So it is geometric

By using this equation:

a(n)=a*r^(n-1)

and we have a=-3 , r=-2

Then       a(n)=-3*(-2)^(n-1)

To get the next term:

a(5)=-3*(-2)^(5-1)

a(5)=-3*(-2)^(4)

a(5)=-3*16=-48

I really hope this helps <3

Since all three inequalities are satisfied, the three sides can form a triangle. Therefore, Cameron can use the boards as they are for his corner shelves, amd the sides of the largest corner shelf Cameron can make using the boards are 1.5 ft, 1.5 ft, and 2 ft.

To determine if Cameron can use the boards for his corner shelves, we need to check if they satisfy the triangle inequality theorem. This theorem states that the sum of any two sides of a triangle must be greater than the third side.

Let's label the sides of the triangle as a = 1.5 ft, b = 1.5 ft, and c = 2 ft. Then we can check if the triangle inequality theorem is satisfied:

a + b > c

1.5 ft + 1.5 ft > 2 ft

3 ft > 2 ft

b + c > a

1.5 ft + 2 ft > 1.5 ft

3.5 ft > 1.5 ft

a + c > b

1.5 ft + 2 ft > 1.5 ft

3.5 ft > 1.5 ft

Since all three inequalities are satisfied, the three sides can form a triangle. Therefore, Cameron can use the boards as they are for his corner shelves.

To make a corner shelf with two sides of equal length, we need to use two sides with lengths of 1.5 ft and one side with length between 1.5 ft and 2 ft. Let's call the length of the third side x ft. Then we can use the triangle inequality theorem to set up the following inequality:

1.5 ft + 1.5 ft > x

3 ft > x

Also, we want to maximize the size of the corner shelf, so we want x to be as close to 2 ft as possible. Therefore, we choose x to be 2 ft.

So the sides of the largest corner shelf Cameron can make using the boards are 1.5 ft, 1.5 ft, and 2 ft.

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Answer:

its just 31^2=25^2 + b^2

Step-by-step explanation:

Answer:

Step-by-step explanation:

1st one is 62.5 kilogramic meter

2nd one is 1 kilo kilogram/cubic meter

Step-by-step explanation:

1)First calculate the volume

v=Pir²h

v=3.15×4²×4

v=201mm³

p=m/v

p=0.250/0.201

p=1.24Kg/m³

2)v=3/4pi r³

v=3/4×3.14×2³

v=33.5m³

p=m/v

p=2/33.5

p=0.0597kg/m³

Given the information:

Overall average (μ) = 55.0 units

Process population standard deviation (σ) = 1.84

Sample size (n) = 16

To determine the 3-sigma UCL (Upper Control Limit) and LCL (Lower Control Limit) for a 2-sigma X chart, we can use the following formulas:

UCL = μ + 3 * (σ / √n)

LCL = μ - 3 * (σ / √n)

Plugging in the values:

UCL = 55.0 + 3 * (1.84 / √16)

LCL = 55.0 - 3 * (1.84 / √16)

Calculating the values:

UCL = 55.0 + 3 * (1.84 / 4)

LCL = 55.0 - 3 * (1.84 / 4)

UCL = 55.46

LCL = 54.54

Therefore, the 3-sigma UCL for the 2-sigma X chart is 55.46 units, and the LCL is 54.54 units.

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Answer:

6.75 x 10^2 g

Step-by-step explanation:

Mass of Red Blood Cells

The mass of a red blood cell is about 2.7 X 10−112.7 X 10 −11 grams. There are about 2.5 X 10132.5 X 10 13 red blood cell in a human body. What is the total mass, in grams, of the red blood cells in a human body? Express your answer in standard form

To find the total mass of red blood cells in a human body, we need to multiply the mass of one red blood cell by the total number of red blood cells in the body:

Total mass = (mass of one red blood cell) x (total number of red blood cells)

Total mass = (2.7 x 10^-11 grams) x (2.5 x 10^13 red blood cells)

Multiplying these two numbers gives:

Total mass = 6.75 x 10^2 grams

In standard form, this is:

Total mass = 6.75 x 10^2 g

It is not a function. cuz the x doesn't have unique image in y .

- 1 and 1 has same image.

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Thank you.

^ - ^

The length of side CD is equal to 11 units.

Given coordinates of rectangle are A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5)

We are require to find the length of side CD.

Rectangle is a two dimensional figure whose two opposite sides are equal to each other. Distance between two coordinates is the equal to length of a side.

We know that the distance means how far two points are located.

Coordinates of  A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5).

Distance=\(\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} }\) where (\(x_{1} ,y_{2} )(x_{2} ,y_{2} )\) are the coordinates of two ends of a line.

CD=\(\sqrt{(-5-6)^{2} +(-4+4)^{2} }\)

=\(\sqrt{11^{2}+0^{2} }\)

=\(\sqrt{121}\)

=11 units.

Hence the length of side CD is 11 units.

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Question is wrong as it should be :

Coordinates of rectangle A(-7,-5), B(-7,6),C(-4,6) ,D(-4,-5) and find the length of CD.

Answer:

Step-by-step explanation:

Shawn will have:

Mark will have:

Together their target is 225:

Correct choice is D

Now they will have eq.,

→ Shawn = 16 + 10x

→ Mark = 22 + 7x

They togetherly get their target,

→ 16+ 10x + 22 + 7x = 225

→ 38 +17x = 225

Hence, option (D) is the answer.

Since FE bisects <DFG, then the value of x and measure of <DFG are:

a. x = 24

b. m<DFG = 106^o

An angle bisector is a straight line constructed in such a way that it divides a given angle into two equal measures.

Thus given that FE bisects <DFG, this implies that;

i. m<DFE ≅ m<EFG

So that,

3x - 19 = 2x + 5

collect like terms to have;

3x - 2x = 19 + 5

x = 24

To solve for x, the value of x is 24^o.

ii. To determine the measure of DFG;

m<DFG = (3x - 19) + (2x + 5)

             = (3(24) - 19) + (2(24) + 5)

             = 53 + 53

             = 106

m<DFG = 106^o

The measure of <DFG is 106^o.

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Based on the given options, the correct answer for the confidence interval is:

c. [0.2597, 0.3403]

The confidence interval represents a range of values within which we can estimate the true population parameter with a certain level of confidence. In this case, the confidence interval suggests that the true population parameter falls between 0.2597 and 0.3403.

To calculate a confidence interval, we typically need information such as the sample mean, sample standard deviation, sample size, and a desired confidence level. Without this information, it is not possible to determine the exact confidence interval.

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To determine the appropriate significance level for performing a significance test based on the confidence level used to construct the confidence interval,

we need to consider the relationship between confidence level and significance level.

The confidence level represents the probability that the confidence interval will contain the true population parameter. In this case, the confidence level was not provided, so we cannot directly determine the significance level based on the given information.

Typically, a 95% confidence level is commonly used, which corresponds to an alpha (significance level) of 0.05. This means that there is a 5% chance of rejecting the null hypothesis when it is true.

However, it is important to note that the specific significance level to be used in a significance test should be determined in advance based on the requirements of the study, the consequences of Type I and Type II errors, and any relevant guidelines or standards in the field of study. The coach or researcher conducting the study should define the significance level based on these considerations.

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Answer:

7

Step-by-step explanation:

10r and -10r cancel eachother out and then you add 4 and 3 to get 7    

Answer:

D

Step-by-step explanation:

The equation of the line that passes through the point begin ordered pair, negative 6, 1, end ordered pair and has a slope of begin fraction . . . negative 1 over 2 . . . end fraction is y=-1/2x-2.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Slope is -1/2

Using point-slope form, the equation of the line can be written as:

y - y₁ = m(x - x₁)

Substituting the values given in the problem, we get:

y - 1 = (-1/2)(x - (-6))

y-1=-1/2(x+6)

y-1 = -1/2x -3

y=-1/2x-2

Hence, the equation of the line that passes through the point begin ordered pair, negative 6, 1, end ordered pair and has a slope of begin fraction . . . negative 1 over 2 . . . end fraction is y=-1/2x-2.

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The weight of the melted ice cream would be the same as the weight of the original ice cream, which is 5 ounces.

a quantity or thing weighing a fixed and usually specified amount. : a heavy object (such as a metal ball) thrown, put, or lifted as an athletic exercise or contest. 3. : a unit of weight or mass see Metric System Table.

When the ice cream melts, it undergoes a change in state from solid to liquid, but the total mass or weight remains unchanged. Therefore, the weight of the melted ice cream is still 5 ounces.

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Answer:

3x³ + 3x² - 3

Step-by-step explanation:

Step 1: Write expression

(2x³ + 4x² + 1) + (x³ - x² - 4)

Step 2: Combine like terms

3x³ + 3x² - 3

Answer:

4th and 5th figures are attached below. There would be about 400 dots in the 100th figure.

The website which is cheaper for Caroline to buy the spice mix is French website.

Given data ,

Let's calculate the total cost for Caroline from both websites and determine which one is cheaper.

British website:

Price for 100 g = (£0.90 / 25 g) * 100 g = £3.60

Since the British website offers free delivery, the total cost remains £3.60.

French website:

Price for 100 g = (€1.20 / 50 g) * 100 g = €2.40

Delivery cost = €0.80

On simplifying the equation , we get

To convert the price and delivery cost to pounds, we'll use the conversion rate: €1 = £0.85.

Price in pounds = €2.40 * £0.85 = £2.04

Delivery cost in pounds = €0.80 * £0.85 = £0.68

Total cost = Price in pounds + Delivery cost = £2.04 + £0.68 = £2.72

Comparing the total costs:

British website: £3.60

French website: £2.72

Hence , Caroline would pay £2.72 for the spice mix from the cheaper website, which is the French website.

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Yes, you can be certain that there are at least two guests who had the same number of handshakes. This is due to the Pigeonhole Principle.

As the party organizer, you shake hands with all 80 guests, which means you have 80 handshakes. The guests can have a minimum of 0 handshakes (if they don't shake hands with anyone except you) and a maximum of 79 handshakes (if they shake hands with everyone except themselves). There are 80 guests (excluding yourself), so there are 80 "pigeonholes" for the number of handshakes. The range of possible handshakes among the guests is from 0 to 79, which creates 80 possible outcomes or "pigeons."

According to the Pigeonhole Principle, if there are n pigeonholes and n+1 pigeons, at least one pigeonhole must contain at least two pigeons. In this case, there are 80 pigeonholes (guests) and 80 pigeons (possible handshakes). Therefore, at least two guests must have had the same number of handshakes.

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The solution of the DTDS is xn = (0.63)^n * 41 grams, where n represents time in hours.

a) The updating function f(x) for the discrete time dynamical system (DTDS) can be derived from the given information that the body eliminates 37% of the alcohol present in the body per hour.

Since 37% of the alcohol is eliminated, the amount remaining after one hour can be calculated by subtracting 37% of the current amount from the current amount. This can be expressed as:

f(x) = x - 0.37x

Simplifying the equation:

f(x) = 0.63x

b) The initial condition for the DTDS is given as Peter having 41 grams of alcohol in his body after consuming three alcoholic drinks. Therefore, the initial condition is:

x0 = 41 grams

c) To find the solution of the DTDS with the given initial condition, we can use the updating function f(x) and iterate it over time.

For n hours, the solution is given by:

xn = f^n(x0)

Applying the updating function f(x) repeatedly for n times:

xn = f(f(f(...f(x0))))

In this case, since the function f(x) is f(x) = 0.63x, the solution can be written as:

xn = (0.63)^n * x0

Substituting the initial condition x0 = 41 grams, the solution becomes:

xn = (0.63)^n * 41 grams

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Answer:

1.49

Step-by-step explanation:

Answer:

1.49328 rounded to the nearest hundredths is 1.49

The external angle theorem states that the measure of the external angle of a triangle is equal to the sum of the two opposite internal angles.

In this case

Then

∠4 is greater than ∠2 and ∠1, so A and B check

And F also checks

We know that the sum of the internal angles of a triangle add up to 180º so that:

And we also know that ∠3 and ∠4 are a linear pair, this means that they also add up to 180º:

Since both expressions are equal to 180º we can conclude that they are equal:

Subtract ∠3 from both sides of the equation and we get that

As stated by the external angle theore, the measure of the external angle, ∠4, of a triangle is equal to the sum of the opposite interior angles, ∠1+∠2 → With this, is proven that F is correct

If angles 1 and 2 add up to angle 4, then, by logic, their measure has to be less than angle 4

→ and this is how you know that ∠1 and ∠2 are less than ∠4

The equation of the line passing through the points (-2, -2) and (-4, 2) is y = -2x - 6.

To find the equation of the line passing through the points (-2, -2) and (-4, 2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) are the coordinates of one point and m is the slope of the line.

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1),

where (x1, y1) = (-2, -2) and (x2, y2) = (-4, 2).

m = (2 - (-2)) / (-4 - (-2))

 = 4 / (-2)

 = -2.

Now that we have the slope (m = -2), we can choose any of the given points to substitute into the point-slope form. Let's use the point (-2, -2):

y - (-2) = -2(x - (-2)).

Simplifying:

y + 2 = -2(x + 2).

Expanding:

y + 2 = -2x - 4.

Rearranging the equation to the form y = mx + b:

y = -2x - 6.

So, the equation of the line passing through the points (-2, -2) and (-4, 2) is y = -2x - 6.

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The equation of the line passing through the given pair of points is y=-2x-6.

The given coordinate points are (-2,  -2) and (-4, 2).

Here, slope (m) = (2+2)/(-4+2)

= 4/(-2)

m= -2

Substitute m=-2 and (x, y)=(-2, -2) in y=mx+c, we get

-2=-2(-2)+c

-2=4+c

c=-6

Substitute m=-2 and c=-6 in y=mx+c, we get

y=-2x-6

Therefore, the equation of the line passing through the given pair of points is y=-2x-6.

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Given:

To Determine: The average rate of change of T with respect to a over the interval of 24000 and 30000

Solution

Let us determine the value of a at the interval given

Let us determine the value of T at the given interval using the values of a

The rate of change would be

Hence, the rate of change of T with respect to a is -46.512 seconds per 1000ft

The positive measure is 220° and the negative measure is -140°.

First, we know that the reference angle is 40°, and it lies on the third quadrant.

So these 40° are measured from the negative x-axis (the axis where the quadrant starts).

This means that the angle measured in the standard way (from the positive x-axis) measures:

M = 40° + 90° + 90° = 220°.

To find the negative measure, we remember that any angle A is equivalent to:

B = A + n*360°.

Where n is an integer.

If we take n = -1 for our angle, we get:

M' = 220° + (-1)*360° = -140°.

So the positive measure is 220° and the negative measure is -140°.

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The function f(x1, x2, x3) has one local minimum at (-1/3, -1/3, x3)

To find the local minima, local maxima, and saddle points of the function f(x1, x2, x3) = x1/x2 + x2/x3 + 3x1, we need to find the critical points of the function, where the gradient of the function is equal to zero.

The gradient of f(x1, x2, x3) is given by:

∇f(x1, x2, x3) = (∂f/∂x1, ∂f/∂x2, ∂f/∂x3).

Taking the partial derivatives of f(x1, x2, x3) with respect to each variable, we get:

∂f/∂x1 = 1/x2 + 3,

∂f/∂x2 = -x1/x2² + 1/x3,

∂f/∂x3 = -x2/x3².

Setting each partial derivative to zero, we have:

1/x2 + 3 = 0 --> 1/x2 = -3 --> x2 = -1/3 (local minimum).

-x1/x2² + 1/x3 = 0 --> x1/x2² = 1/x3 --> x1 = -x2²/x3 (saddle point).

-x2/x3² = 0 --> x2 = 0 (saddle point).

So, the critical points of f(x1, x2, x3) are:

(x1, x2, x3) = (-x2²/x3, x2, x3), where x2 = 0 and x3 ≠ 0 (saddle point).

(x1, x2, x3) = (-1/3, -1/3, x3), where x3 ≠ 0 (local minimum).

Note that x2 = 0 is a saddle point since it results in an undefined value for x1 due to division by zero.

Therefore, the function f(x1, x2, x3) has one local minimum at (-1/3, -1/3, x3), where x3 ≠ 0, and two saddle points at (-x2²/x3, x2, x3), where x2 = 0 and x3 ≠ 0.

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