whats 45 x 7^5 + 809 -12

Answer:

4th one

Step-by-step explanation:

The fourth one shows an exponential decay.....curved line getting smaller in value as time progresses.

The fourth graph represents the exponential decay.

A relation is a function if it has only One y-value for each x-value.

To determine which graph represents exponential decay, we need to look for a graph that exhibits the following characteristics:

Starts at a positive value.

Decreases over time.

Has a horizontal asymptote (approaches but never reaches a certain value).

Among the given options, the graph that represents exponential decay is the one that starts at a positive value and continuously decreases over time, approaching a horizontal asymptote.

Hence, the fourth graph represents the exponential decay.

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The focal length of the lens is 20 cm. The image should be at 60 cm from the lens.

Given a plant placed 6 squares distant from a convex lens. Since the refracted rays are converging the given lens is a convex lens.

Here each square is 5 cm along the horizontal direction.

The ray from the top of the plant pass through the lens and cross the principal axis at a distance 4 squares from the lens.

Hence the focal length of the lens, f = 4 x 5 = 20 cm.

We have the lens formula for convex lens.

i.e., 1/f=1/v+1/u ,

where v is the distance of real image from the center of the lens, u is the distance of the object from the center of the lens and f the focal length of the lens.

Here, u = 6 x 5 = 30 cm

So in order to find where the real image is produced,

we have 1/v = 1/f - 1/u

Therefore, v = uf /u-f = 30 x 20 / 30-20 = 60 cm.

Thus the real image is formed at a distance of 60 cm from the center of the lens.

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Figure 1 shows a small plant near a thin lens. The ray shown is one of the principal rays for the lens. Each square is 5.0 cm along the horizontal direction, but the vertical direction is not to the same scale. Use Information from the diagram to answer the following questions. What is the focal length of the lens? Calculate where the image should be.

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Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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The ideal travel angle for manual cutting operations is a push angle of 30-45 degrees.

Explanation: When performing manual cutting operations, it is important to consider the travel angle, which refers to the direction in which the cutting tool moves in relation to the workpiece. The recommended travel angle for most cutting operations is a push angle of 30-45 degrees. This means that the cutting tool should be positioned at an angle, pushing forward against the workpiece as it cuts. This angle allows for optimal cutting efficiency and control.

A push angle within this range ensures that the cutting force is distributed evenly, minimizing the risk of tool slippage or workpiece damage. It also helps to maintain good visibility of the cutting path, reducing the chances of errors or accidents. Additionally, the push angle allows the operator to exert sufficient downward pressure on the cutting tool, aiding in effective material removal. Overall, a push angle of 30-45 degrees is considered the most effective for achieving accurate and efficient manual cutting operations.

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Answer:

starting with least...

-1.6

-6/5

-7/8

9/10

5/2

...to greatest.

Step-by-step explanation:

start by putting the decimals into fractions:

-1.6 = -8/5

0.9 = 9/10

and then find a common denominator to compare them fairly.

the number that they all end up going into is 40, which will be your common demoninator.

-8/5 (aka -1.6) = -64/40

5/2 = 100/40

-7/8 = -35/40

9/10 (aka 0.9) = 36/40

-6/5 = -48/40

Answer:32 17/18

Step-by-step explanation:

33 + (1/9)(x)

x = -1/2

33 + (1/9)(-1/2) =

33 + -1/18

= 32 17/18

Using the monthly payments formula, it is found that a car with a value of at most $25,293.

It is given by:

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

In which:

In this problem, we have that the parameters are given as follows:

A = 400, n = 70, r = 0.035.

Hence:

r/12 = 0.035/12 = 0.002917.

Then we have to solve for P to find the maximum value of the car.

\(A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}\)

\(400 = P\frac{0.002917(1.002917)^{70}}{(1.002917)^{70}-1}\)

\(P = \frac{400[(1.002917)^{70}-1]}{0.002917(1.002917)^{70}}\)

P = $25,293.

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The type of study was cross-sectional study.

An example of an observational study design is the cross-sectional study design. In a cross-sectional study, the researcher simultaneously assesses the participants exposures and outcomes.

After choosing the study subjects, the researcher conducts the study in order to evaluate the exposure and results.

For population-based surveys and to determine the prevalence of illnesses in clinic-based samples, cross-sectional designs are employed.

These studies are typically affordable and reasonably quick to carry out.

An illustration of a cross-sectional study might be a medical investigation into the incidence of cancer in a particular community.

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The average score of all students, calculated by taking a weighted average based on the number of students in each group, is 38. The overall performance is slightly below the group averages.

The average score of students in the first, second, and third groups are 39, 32, and 43, respectively. There are 24 students in the first group, 26 students in the second group, and 27 students in the third group.

To find the average score of all students, we need to take a weighted average of the scores in each group, with the number of students in each group as the weights.

Here's how to do it: First, we calculate the total number of students:24 + 26 + 27 = 77. Then, we calculate the total score across all students: 39*24 + 32*26 + 43*27 = 936 + 832 + 1161 = 2929

Finally, we divide the total score by the total number of students to get the average score:2929/77 = 38. The average score of all students is 38.

This means that the overall performance of all the students is slightly below the average of the scores in each group.

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Simple interest is calculated with the following formula: S.I. = P × R × T, where P = Principal, R = Rate of Interest in % per annum, and T = Time, usually calculated as the number of years. The rate of interest is in percentage r% and is to be written as r/100.

The intrest will be 15,000×15% × 1

= 2,250

the final amount in her account will be 15000+ 2,250 = 17,250

Answer:

Right 3.5 units

Step-by-step explanation:

Well, the coordinates go (x,y) so just plug it in..

(3.5, 0)

Go across (to the right) 3.5 and up 0, that's it.

Hope this helps :)

The debate over whether alcohol misuse is biologically determined or culturally influenced is most relevant to the issue of nature versus nurture.

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The sum of first 10 terms is 72.

Concept: Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence.

Arithmetic Progression Formula

= an - a. nth term of an AP: an = a + (n - 1)d. Sum of n terms of an AP: Sn = n/2(2a+(n-1)d) = n/2(a + l), where l is the last term of the arithmetic progression.

Given:

Eighth term is 8.2

Common difference is 0.4

a(8) = 8.2

a + 7d = 8.2

Since d = 0.4

a + 7(0.4) =8.2

a = 5.4

Sum of 10 terms = n/2 (2a+(n-1)d)

= 5(2*5.4 + 9*0.4)

=5(10.8 +3.6)

Sum=72

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Answer:

Equation that can be used = \(\frac{4(88)+2x}{6} = 90\)

Step-by-step explanation:

Given that:

Amir's average on four tests = 88

Let,

x be the score on one test

For two tests = 2x

Sum of all scores = Average of four tests + Score of two tests

Sum of all scores = 4(88) + 2x

Total number of tests = 6

Overall average needed = 90

Now,

\(Average = \frac{Sum\ of\ quantities}{Number\ of\ quantities}\\90 = \frac{4(88)+2x}{6}\\\\\frac{4(88)+2x}{6} = 90\)

Hence,

Equation that can be used = \(\frac{4(88)+2x}{6} = 90\)

Answer:

6y - 12

= 6 ( − 2 )

Step-by-step explanation:

Given:

Point (a,b) lies on the graph \(y=f(x)\).

To find:

The point which is must be lies on the graph of \(y=f^{-1}(x)\).

Solution:

According to the definition of an inverse function, if a function is defined as

\(f=\{(x,y):x\in R,y\in R\}\)

then, its inverse is defined as

\(f^{-1}=\{(y,x):x\in R,y\in R\}\)

It means, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

We have a point (a,b) lies on the graph \(y=f(x)\). So, (b,a) must be lies on the graph of \(y=f^{-1}(x)\).

Therefore, the correct option is (1).

By the definition of inverse function,the point (a,b) lies on the graph \(\bold{y= f(x).}\) So, (b,a) must be lies on the graph of \(\bold{y=f^{-1} (x)}\).

Given:

Point (a,b) lies on the graph y= f(x).

Find:

The graph of  \(\bold{y=f^{-1} (x)}\) must contain that point.

As per the definition of inverse function, if two one-to-one functions f(x) and g(x). If (f∘g)(x)=x and (g∘f)(x)=x. Then, we say that f(x) and g(x) are inverses of each other.

\(\bold{f=\{ (x,y):x\epsilon R,y\epsilon R\}}\)

Then, its inverse is defined as

\(\bold{f^{-1} =\{ (y,x):x\epsilon R,y\epsilon R\}}\)

Therefore, we have to interchange x and y-coordinate of the points which lies on the function f to get f⁻¹.

Thus, the point (a,b) lies on the graph \(y= f(x).\) So, (b,a) must be lies on the graph of \(y=f^{-1} (x)\).

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Answer:

Step-by-step explanation:

The equation of a line which passes through (x₁, y₁) and with slope of m in point-slope form:

                            y - y₁ = m(x - x₁)

m = -5

(-2, 7)    ⇒   x₁ = -2,  y₁ = 7

y - 7 = -5(x - (-2))

y - 7 = -5(x + 2)            

(a, 2)   ⇒   2 - 7 = -5(a + 2)

                   -5 = -5a - 10

                   5a = 5 - 10

                     5a = -5

                       a = -1

Answer:

Inscribed angle

Step-by-step explanation:

Central angles have the vertex as the center of the circle, and chords are not angles

The correct answer is (c) normal distribution.

When comparing two proportions, the difference between them can be calculated, and its sampling distribution can be approximated by a normal distribution when the sample sizes are sufficiently large.

The mean of the sampling distribution is the difference between the true population proportions, and the standard deviation of the sampling distribution is calculated as:

\(sqrt[(p1*(1-p1)/n1) + (p2*(1-p2)/n2)]\)

where p1 and p2 are the population proportions, and n1 and n2 are the sample sizes.

Therefore, the sampling distribution of the difference between two proportions is approximated by a normal distribution with mean (p1-p2) and standard deviation given by the above formula.

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Answer:

First start with the y-intercept at -2.

Then graph it three units to the right, then one unit down.

Step-by-step explanation:

Please mark as Brainliest!

Answer:

Place a point on (-6,0) and (0,-2) then draw a line that goes through both of those two points. You will then have graphed that equation.

I hope this helps!

Answer:

12$ is the amount Gemma would get.

Step-by-step explanation:

27$ divided by 9 hours is 3$ per hour, aka the unit rate. Since Gemma worked 4 hours, we do 3$x4 and we get 12$

This means Rosa has driven 8 miles in 48 minutes.

Answer:

16.33

Step-by-step explanation:

I hope this was right!

Answer:

\(\frac{-2}{7}\)

Step-by-step explanation:

Slope is the change in y over the change in x

(-6,1) (1,-1)

The y's are -1 and 1.  You find the change by subtracting (-1 - 1 = -2)

(-6,1)(1,-1)

The x's are 1 and -6,  You find the change by subtracting (1 - - 6 = 1 + 6 = 7)

\(\frac{-2}{7}\)

The correct statement regarding R-squared is: "Its value is always between -1.0 and 1.0. A value of 1.0 indicates the line is a perfect fit for the data."

R-squared (²) is a statistical measure that represents the proportion of variance in the dependent variable that is explained by the independent variable(s) in a regression model. The value of R-squared ranges from -1.0 to 1.0.

A value of 1.0 indicates that the regression line perfectly fits the data, while a value of 0 indicates that the model cannot explain any variance in the dependent variable. A negative value indicates that the model is worse than just using the mean of the dependent variable.

Therefore, the best fit line for the data is the one that has an R-squared value closest to 1.0, indicating that it explains a high percentage of the variance in the dependent variable based on the independent variable(s). It is important to note that an R-squared value above 1.0 is not possible and may indicate a mistake in the calculations.

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Answer:

(x+1) ( x+(1/2))

Step-by-step explanation:

6x² +9x +3  , divide all terms by 6 to have the first term with coefficient 1

x² + (9/6)x + (3/6) , simplify the fractions

x² + (3/2)x + (1/2)

To get x² the first term we should have

(x.....)(x.....)

To get the last term (1/2) we should have

(x...1)(x...(1/2))

To get the middle term (3/2)x we should have

+1*x +(1/2)  x = (2/2)x +(1/2)x = (3/2)x

(x+1) ( x+(1/2))

Answer:

Step-by-step explanation:

3x + 6 = 8 + 3x - 2

3x + 6 = 3x + 6

Bringing like terms on one side

3x - 3x = 6 - 6

0 = 0

Answer:

no solution

Step-by-step explanation:

3(x + 2) = 8 + 3x - 2                         Explanation of steps

                                           3 times x and 3 times 2 then 8-2=6

3x + 6 = 6 + 3x

                                                               3x - 3x  = 6

6 = 6

                                                                  6 - 6 = 0

0 = 0

Answer:

Step-by-step explanation:

\({4}^{9 - 5} \)

\( {4}^{4} \)