Graph the following function by moving the points to match two ordered pairs, including the x-intercept:
f(x) = log 1/8(x)

Answer:

The answer should be $31.99

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

In this instance, we're assuming that we can use the following function to simulate the US GDP, or gross domestic product, in dollars:

[tex]GDP = 11(1.0220)^{t}[/tex]

We can also see that the exponential model formula given by: governs this formula.

[tex]GDP = 11(1.0220)^{t[/tex]

Where a denotes the starting sum, b the model's growth/decay rate, and t is the number of years since 1950.

The value of b in this instance is provided by:

b = 1.022

And when we calculated r as the growth rate, we obtained:

1.022 = 1 + r

r = 1.022 - 1

r = 0.022

Because b > 1, the correct response in this situation would be: "1.022 is the growth factor for the GDP since 1950, and the GDP increases by a factor of 1.022 every year."

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The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem or infinitely small in a minimisation problem without violating any of the constraints is known as an unbounded solution

What is Linear Programming?

When a linear function is exposed to various constraints, it is maximised or reduced using the mathematical modelling technique known as linear programming.

Let's briefly define some situations

Infiniteness and semi-optimality, does not comply with what the situation exposes.

If there isn't a solution that satisfies all the requirements, the problem is said to be infeasible. As a result, this choice is not.

If the objective function can be improved indefinitely without going against the constraints and limits, then the problem is unbounded, and this is the right response.

The situation in which the value of the solution may be made infinitely large in a maximisation linear programming problem  is known as an unbounded solution

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Responden: Original Answer Language (Spanish)

Las coordenadas del punto (-2, 3) después de una reflexión en el eje y son: (2,3). Se explica en la imagen.

Answer: Traducir el idioma de la respuesta (inglés)

The coordinates of the point (-2, 3) after a reflection on the y-axis are: (2,3). It is explained in the image.

Answer:

22 and 12!  i think unless i misunderstood the question

Step-by-step explanation:

The slope of a line is -1

What is a line ?

A line is an object in geometry that is indefinitely long and has neither breadth nor depth nor curvature. Since lines can exist in two, three, or higher dimensional environments, they are one-dimensional things. The term "line" can also be used to describe a line segment in daily life that contains two locations that serve as its ends.

A line is a perfectly straight, one-dimensional shape that extends infinitely in both directions and has no thickness. In order to stress that a line has no "wiggles" anywhere along its length, it is occasionally referred to as a straight line or, more formally, a right line (Casey 1893).

y = mx + c

Subtract 3x from both sides of the equation

3y = 18 - 3x

dividing by 3

y = 6 - x

re-ordering we get y = -x + 6

using slope-intercept form ,

the slope m = -1

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Answer:

since the arcs are made on top and bottom of the line ,so by joining both the points of intersection of the arc we get a perpendicular bisector of the line

therefore , it is option d) the perpendicular bisectorof line MN

The correct interpretation of this confidence interval is that "we are 90% confident the population mean is in this interval." This means that if we were to repeat the sampling process many times, we would expect that 90% of the resulting confidence intervals would contain the true population mean.

Answer:

For two triangles to be congruent, SAS theorem requires two sides and the included angle of the first triangle to be congruent to the corresponding two sides and included angle of the second triangle. If the congruent angles are not between the corresponding congruent sides, then such triangles could be different.

hope that helps

Step-by-step explanation:

Answer:

Makes it smaller

Step-by-step explanation:

A scale factor less than 1 makes the image smaller than the preimage.

A scale factor of 1 makes the image the same size as the preimage.

A scale factor greater than 1 makes the image larger than the preimage.

The number of cars which can be made by using 4 tires, a main chassis, and 5 lithium-ion batteries are 4.

Using hit and trial method :

→ assuming tires as limiting substance

4 tires → 1 car

17 tires → 17/4 ×1 car

= 4.25 cars {reducing it to greatest integer value}

→ Assuming chassis as limiting theorem:

1 chassis → 1 car

5 chassis → 5 cars

→ Assuming batteries as limiting theorem substance:

5 batteries → 1 car

22 batteries → 22/5 × 1 car

= 4.4 → 4 cars

Therefore, 4 cars can be made by the given substance.

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Answer:

nope

Step-by-step explanation:

1 multiplied by 1/2 just equals 1/2 since it's being multiplied by one, it wouldn't matter if you kept multiplying 1/2 either because the numerator will stay the same regardless, and the denominator just gets bigger and bigger since you're multiplying by two. if the numerator wasn't 1 then I'm sure there's a possibility, but in this scenario, it's not.

Answer: You will reach 0

Step-by-step explanation:

Yes, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.

To see why this is the case, let's consider the following sequence of numbers:

1 * (1/2) = 0.5

0.5 * (1/2) = 0.25

0.25 * (1/2) = 0.125

0.125 * (1/2) = 0.0625

0.0625 * (1/2) = 0.03125

As you can see, each time we multiply by 1/2, the result is half of the previous number. Because any number multiplied by 0 is 0, we will eventually reach 0 if we keep multiplying by 1/2.

Therefore, if you start with 1 and repeatedly multiply by 1/2, you will reach 0.

Answer:

There should be around three teachers.

Step-by-step explanation:

72/24 = 3

or

24 x 3 =72

Another way you could do it is three circles put one dot in each circle until you reach 72.

Hope this helped

Answer: 3.14

Step-by-step explanation:

1. go home

2. sleep

3. poop

4. eat

Answer: Ok so the slope is always going to be m and the y intercept will be the b.

Step-by-step explanation: For example the slope form in y=mx+b. Whatever is in that b spot is going to be the y-intercept. So for number one on exercise 7 the slope will be 2/3 and the y- intercept will be -4. Same for number 2 remember take your time and know that m is the slope and b is your y-intercept. I really hope this helps you.

Answer:

C. −7.8v −1.7

Step-by-step explanation:

add like terms

-5.2v  + (-2.6v) = −7.8v

(-2.8) + 1.1 = -1.7

Answer:

C )  −8v−1.7

Step-by-step explanation:

1 ) − 5.2v − 2.8 + 1.1 −2.6v

2) = − 5.2v + −2.8 + 1.1 + − 2.6v

Combine Like Terms:

3 ) = − 5.2v + − 2.8 + 1.1 + − 2.6v

4 ) = ( − 5.2v + − 2.6v ) + ( −2.8 + 1.1 )

5 ) = − 7.8v + − 1.7

Hope this helps! :)

Both means are approximately equal at 1% level of significance.

What is significance level?

A finding has statistical significance in statistical hypothesis testing when it is highly unlikely to have happened given the null hypothesis.

H0: Mean of mean = mean of women

Ha: means of men < mean of women

(Left tailed test)

Since population std deviation is known but sample sizes are small t test is used.

The mean of Men minus Women equals -5.00

standard error of difference = 2.201

t = 2.2721

df = 53

p value= 0.0136

since p >0.01 at 1% significance level we fail to reject H0.

Both means are approximately equal at 1% level of significance.

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The 33rd term of the given Arithmetic progression will be -132.

What is an Arithmetic progression?

A series of numbers is called a "arithmetic progression" (AP) when any two subsequent numbers have a constant difference. Arithmetic Sequence is another name for it.

Given, first term= a1= 28

and, a93 = -432

we know that, a93 = -432

                   a + 92d = -432 (where d is the common difference)

                  28 + 92d = -432

                     92d = -432-28

                             = -460

                       d = -460/92 = -5.

Now, we can find the a33,

               a33 = a + 32d

                       = 28 + (32× -5)

                       = 28-160

                       = -132.

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Answer: To calculate x in an equation, you can first look at the other numbers that aren't missing any values [say 2x + 60x = 248]. To find the value of x, bring the variable(s) to the left and bring all the remaining numbers to the right (I'm trying to explain this in a simple way)

Step-by-step explanation: math

Answer: the data suggests that playing video games has a negative effect on academics. I think this because the more time spent playing video games the less time spent doing homework

6. Applying the inscribed angle theorem, x = 33

7. m<ABP = 90°.

m<APB = 48°

The tangent theorem states that the tangent of a circle is perpendicular to the radius of that circle and therefore forms a right angle at the point of tangency.

An inscribed angle has a measure that is half the measure of the intercepted arc, according to the inscribed angle theorem.

Therefore:

Question 6:

Based on the inscribed angle theorem,

Measure of arc AB = 2(x + 3) = 2x + 6

108 + 2x + 6 = 180 [semicircle]

Solve for x

114 + 2x = 180

2x = 180 - 114

2x = 66

x = 33

Question 7:

Given that line PB is tangent to circle A, therefore, based on the tangent theorem, the measure of angle ABP = 90°.

m<APB = 180 - 90 - 42

m<APB = 48°

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Answer:

42

Step-by-step explanation:

1 dozen equals 12 so 12 x 4 would be 42

The net force is 126 kg m/s² needed to accelerate the llama on the stretcher.

To determine the net force needed to accelerate a llama weighing 200 kg on a stretcher with an upward acceleration of 0.63 m/s², we can use the formula F = ma, where F is the net force, m is the mass of the llama, and a is the upward acceleration of the stretcher.

As per the question, the mass of the llama is 200 kg and the upward acceleration of the stretcher is 0.63 m/s²,

So, the net force needed to accelerate the llama is:

F = 200 kg × 0.63 m/s²

F = 126 kg m/s².

Thus, the net force is 126 kg m/s² needed to accelerate the llama on the stretcher.

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Steps to solve linear equations;

Given,

Linear equations;

Ax + By = C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x + 3y = 5. When an equation is given in this format, finding both intercepts is rather simple (x and y).

Here,

The steps to solve linear equations are;

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The maximum value of e is equal to 2.718.

e

The number e, also known as Euler's number, is a mathematical constant approximately equal to 2.71828 that can be characterized in many ways. It is the base of the natural logarithms. It is the limit of (1 + 1/n)n as n approaches infinity, an expression that arises in the study of compound interest. It can also be calculated as the sum of the infinite series.

The number e itself also has applications in probability theory, in a way that is not obviously related to exponential growth

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Answer:

Step-by-step explanation

To find the amount of rain the meteorologist predicted, start by listing the key information from the problem.

The actual amount of rain was 1.5 inches.

The meteorologist's prediction was 20% less than that. This is the percent error.

First, find the amount of error. It is 20% of the actual amount of rain.

0.21.5=0.3

So, the amount of error in the meteorologist's prediction is 0.3 inches. Since the predicted amount was less than the actual amount, subtract 0.3 from the actual amount of rain.

1.5–0.3=1.2

The meteorologist predicted 1.2 inches of rainfall.

You could also find the meteorologist's rainfall prediction by finding 80% of the actual amount of rain.

0.81.5=1.2

The amount of rainfall the meteorologist predict is 1.2 inches

From the question, we have the following parameters that can be used in our computation:

Amount of rainfall = 1.5 inches

Prediction = 20% less than the amount of rainfall

These parameters imply that:

Prediction = Amount of rainfall * (1 - Percentage less)

Substitute the known values in the above equation, so, we have the following representation

Prediction = 1.5 * (1 - 20%)

Evaluate

Prediction = 1.2

Hence, the prediction is 1.2 inches

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Kaden's expression tells you how many hours Kaden works per year

Given: Kaden earns h dollars per hour working for a landscaper. He works 14 hours per week.

Kaden expression:

14 x h x 52

The 14 in this expression tells you how many hours Karen works per year. The 52 shows the number of weeks in a year

Kaden's boss expression:

728h

This does not tells how many hours Kaden works per year

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Answer:

Step-by-step explanation:

A system of equation can be solved in several ways, which includes the use of graphs

The solution to the system of linear equations is (3,2)

The system of equations is given as:

See attachment for the graphs of    and .

From the attachment, the point of intersection of the lines of both equations is (3,2)

Hence, the solution to the system of linear equations is (3,2)

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By using the concept of profit, it can be calculated that-, Profit for renting 6 bicycles = $157

What is profit?

Profit is a financial gain earned when the revenue from a business activity exceeds the expenses associated with it. This gain is usually measured in monetary terms, but it could also be measured in terms of goods or services. Profit is the main reason why businesses exist and it can be used to reinvest in the business, pay shareholders, purchase new assets, or do other things. Profit is the lifeblood of any business and it is essential for sustaining and growing its operations.

For Daniela’s bicycle business the net profit (in dollars) for renting b bicycles is: P(b)=25b+7.

Number of bicycles Daniela rented = 6

So Profit for renting 6 bicycles = $([tex]25 \times 6 + 7[/tex]) = $157

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