Solve for g.
G+1/ 2=2

Answer: The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 -12 0 -6 1 0 g(x) g(x) = 2x + 6 Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).

PART B: y=mx +b is slope intercept form of linear equation where m=slope and b =y intercept

slope for line for function f(x) =-5-(-1) / -1-0 =-5+1/-1=-4/-1=4  

y = 4x+b

3=4(1)+b

3=4+b

-1 =b

y=4x-1

f(x)=4x-1     slope = 4

g(x)=2x -7    slope = 2

b) y intercept for f(x) is -1

and g(x) is -7

so f(x) is having greater y intercept

The values of given differential equation  constant r are  = 1/5 and -3.

A differential equation is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable) dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable.

For example, dy/dx = 5x A differential equation contains derivatives which are either partial derivatives or ordinary derivatives.

The derivative represents a rate of change, and the differential equation describes a relationship between the quantity that is continuously varying with respect to the change in another quantity.

There are a lot of differential equations formulas to find the solution of the derivatives.

As y = e power rx

y¹= dy/dx= re power rx

and y'' = r²e power rx

Hence 5y'' +14y' – 3y = 0 can be written as

5r²e - 14re** - 3e¹² - 0

or 5r2 + 14r - 3 - 0

or 5r2 + 15r - r - 3 - 0

or (5r − 1)(r + 3) = 0

r=1/5 or r= -3

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Step-by-step explanation:

a = k/m    or       ma = k    

using 4 and 9     4* 9 = k = 36

then the equation becomes:

    ma = 36    

  using a = 6

      6 * m = 36     shows m = 6 kg

Answer:

Step-by-step explanation:

x + 80 = 180

x = 100

answer is B

log1000(10) = x does not belong. This is because it does not have a real solution, while the other options (a, c, and d) have valid solutions.

The correct answer is option B.

To determine which one of the given options does not belong, we need to evaluate each option and compare them based on their properties and mathematical relationships.

a) log(1/1000) = x

Using the logarithmic property that log(a) = -log(1/a), we can rewrite this equation as:

log(1/1000) = log(\(1000)^(^-^1^)\)

log(1/1000) = log(\(1000)^(^-^1^)\)) = -3

b) log1000(10) = x

This equation can be rewritten as:

log base 1000 (10) = x

Here, the logarithm is asking for the power to which 1000 should be raised to obtain 10. Since 10 is not a power of 1000, this equation does not have a real solution. Therefore, this option does not belong.

c) (10³) = x

This equation represents 10 raised to the power of 3, which is equal to 1000. Therefore, x = 1000.

d) log(1000) = x

Using the logarithmic property that log base 10\((10^x)\) = x, we can rewrite this equation as:

log(1000) = log\((10^3)\) = 3

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The equation of the line in fully simplified slope-intercept form is y = x + 7.

We have,

From the graph,

The coordinates of the line are:

(0, 7), (-7, 0), and (-2, 5).

We can use any coordinates the line touches on the graph.

We will use,

(0, 7) and (-7, 0)

The equation can be written in the form y = mx + c

m = (0 - 7) / (-7 - 0)

m = -7/-7

m = 1 ______(1)

And,

(0, 7) = (x, y)

So,

y = mx + c ______(2)

7 = 1 x 0 + c

7 = c

c = 7 ______(3)

Now,

From (1), (2), and (3).

y = x + 7

Thus,

The equation of the line in fully simplified slope-intercept form is y = x + 7.

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Answer:

Step-by-step explanation:

=6/3\(\sqrt{7}\) *3\(\sqrt{7}\)/3\(\sqrt{7}\)

=6*3\(\sqrt{7}\)/(3\(\sqrt{7}\))^2

=18\(\sqrt{7}\)/9*7

=18\(\sqrt{7}\)/63

=2\(\sqrt{7}\)/7

Answer:

1/10 is the simplest form of the fraction

Micro middle sold the least no of different types of consoles.

Matrices represent data in the form of rows and columns together as an array form.

From matrix A we get the data as follows,

A row represents shops and columns represents types of console.

Games Go sold (53 + 21 + 48) = 122 different types of consoles.

Better Buy sold (65 + 34 + 70) = 169 different types of consoles.

Micro middle sold (18 + 11 + 15) = 34 different types of consoles.

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Approximately 99.7% of scores lie in the shaded region.

We have,

The empirical rule, also known as the 68-95-99.7 rule, provides an estimate of the percentage of scores that lie within a certain number of standard deviations from the mean in a normal distribution.

According to this rule:

Approximately 68% of scores lie within 1 standard deviation of the mean.

Approximately 95% of scores lie within 2 standard deviations of the mean.

Approximately 99.7% of scores lie within 3 standard deviations of the mean.

Now,

In the given scenario, the shaded region represents the area between -2 and 3 standard deviations from the mean on the x-axis.

This encompasses the area within 3 standard deviations of the mean.

And,

Since 99.7% of scores lie within 3 standard deviations of the mean, we can estimate that approximately 99.7% of scores lie in the shaded region.

Therefore,

Approximately 99.7% of scores lie in the shaded region.

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Answer:

Step-by-step explanation:

In this scenario, the confidence interval represents the possible range of differences in the proportion of employees who skip breakfast when free breakfast is offered and when it's not. A confidence interval that does not include zero indicates that there is statistically significant evidence to suggest a difference in proportions between these two groups.

Therefore, for the first interval (-0.44,-0.16), since it does not include zero, we can be confident that offering free breakfast results in a decrease in the proportion of employees who skip breakfast.

For the second interval (-0.25, 0.05), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

Similarly, for the third interval (-0.23, 0.15), since it contains zero, we cannot be confident that there is a difference in the proportion of employees who skip breakfast between the two groups.

So, the correct answer is:

For the interval (-0.44,-0.16), we can be confident that employees will skip breakfast less when free breakfast is offered than when it's not.

For the intervals (-0.25, 0.05) and (-0.23, 0.15), our confidence interval shows that there could be no difference in the proportion of employees who skip breakfast.

Answer:

Leaves are adapted for photosynthesis and gaseous exchange. They are adapted for photosynthesis by having a large surface area, and contain openings, called stomata to allow carbon dioxide into the leaf and oxygen out. ... The cells inside the leaf have water on their surface.

Answer:

15m+20

Step-by-step explanation:

5(3m+4)

5*3m, 5*4

15m+20

Answer:

15m+20

Step-by-step explanation:

5 Times 3m equal to 15m

5 Times 4 equal to 20

Step-by-step explanation:

Step 1 total number of person =450

Step 2 number of people who are alcholic =200

Step 3 now subtract them like: 450 - 200

Answer=200 people are non alcholic

The meaning of the derivative f'(8) is the rate of change of the quantity of coffee sold with respect to the price per pound when the price is $8 per pound.

It represents how the quantity of coffee sold changes with respect to changes in the price per pound, when the price per pound is $8.

In mathematics, the derivative of a function is a measure of how the value of the function changes with respect to changes in one of its variables. In other words, the derivative gives the rate of change of a function with respect to its independent variable.

The derivative can be thought of as the slope of the tangent line to the function at a particular point. It can be calculated using limits, differential calculus, or other methods. The derivative is represented by the symbol "d/dx" for a function of a single variable x, where d/dx represents the rate of change of the function with respect to x.

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Answer:

13

Step-by-step explanation:

cos 13 x 2 = 26

13 is a factor that is more than 4 and less then 26

The factor of the number 26 that is between 4 and 26 is 13. Factors are the numbers that can divide into a number without leaving a remainder. In this case, the factors of 26 are 1, 2, 13, and 26.

In mathematics, a factor of a number is a number that divides into another number without leaving a remainder. In the case of the number 26, its factors include 1, 2, 13, and 26. The factor of 26 that is between 4 and 26 is 13.

To find this, you can go through the factors of 26 one by one. The factors are found by dividing 26 by all the numbers up to 26, and the numbers that give a remainder of 0 are the factors. In this case, 1, 2, 13, and 26 divide evenly into 26, and so are the factors of 26. Of these, only 13 lies between 4 and 26.

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Answer:

Scale factor = \(\frac{3}{5}\)

Step-by-step explanation:

Scale factor of the two similar figures is given by the formula,

Scale factor = \(\frac{\text{Dimension of image}}{\text{Dimension of Original}}\)

Here, it's given that smaller figure = image

And larger figure = Original

Therefore, scale factor = \(\frac{15}{25}\)

                                      = \(\frac{5\times 3}{5\times 5}\)

                                      = \(\frac{3}{5}\)

Answer: Scale factor = \(\frac{3}{5}\)

Answer:

Peat's Pizza is is the one Tina should order from.

Step-by-step explanation:

If 4-pizzas from Peat's Pizza is 26 dollars, and she wants to order the 4 pizza special, Multiply 26 and 10 to get $260. Now if she wanted to order 4 times from Pizza Palace, which costs 75 dollars for 10 pizzas, Multiply the cost, 75, and the amount of times you want to order, to get the total cost. (Please tell me if I'm wrong! I'm trying to identify what I can.)

Answer:

(a+b)(a-b)

Step-by-step explanation:

Answer:

x is down and up and y is up then down

Step-by-step explanation:

I think

The smaller angle made by the two hands of the clock at 3 o'clock is 90 degrees.

A figure known as an angle is created by two rays or line segments that meet at a place known as the vertex of the angle. The sides or legs of the angle are other names for the rays or line segments.

To determine the smaller angle made by the two hands of a clock when it is 3 o'clock, we can use the following formula:

angle = |(11/2) * m - 30h|

where:

m is the number of minutes past the hour (in this case, since it is 3 o'clock, m = 0)

h is the hour (in this case, h = 3)

By using this formula, we get:

angle = |(11/2) * 0 - 30(3)| = |0 - 90| = 90

Therefore, the smaller angle made by the two hands of the clock at 3 o'clock is 90 degrees.

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II and III only

We split up the integration interval [1, 4] into 3 equally-spaced subintervals of length (4 - 1)/3 = 1 :

[1, 2], [2, 3], [3, 4]

The area over each subinterval [L, R] is either approximated by a trapezoid, whose area will be

1 • (f(L) + f(R))/2

or by a rectangle with height f((L + R)/2) and hence area

1 • f((L + R)/2)

For f(x) = x², the area under f(x) over [1, 4] is approximated by

• using trapezoids (T) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}{2\times3} (1^2 + 2\times2^2 + 2\times3^2 + 4^2) = \frac{43}2 = \frac{86}4\)

• using midpoints (M) :

\(\displaystyle \int_1^4 x^2 \, dx \approx \frac{4-1}3 \left(\left(\frac32\right)^2 + \left(\frac52\right)^2 + \left(\frac72\right)^2\right) = \frac{83}4\)

so T > M. (This eliminates "I only" and "all of the functions".)

For f(x) = √x, the area is approximated by

• T :

\(\displaystyle \int_1^4 \sqrt x \, dx \approx \frac{4-1}{2\times3} (\sqrt1 + 2\sqrt2 + 2\sqrt3 + \sqrt4) \approx 4.646\)

• M :

\(\displaystyle \int_1^4 \sqrt x\, dx \approx \frac{4-1}3 \left(\sqrt{\frac32} + \sqrt{\frac52} + \sqrt{\frac72}\right) \approx 4.677\)

so T < M. (This eliminates "none of the functions".)

Answer:

The answer is 45.9 L

Step-by-step explanation:

1. Multiply

25.5L x 1.8L

2. Solve

25.5 x 1.8= 45.9L

The two main purposes of all businesses are earning revenue and maximizing profits, the correct option is B and E.

We are given that;

The four options

Now,

Earning revenue means generating income from selling goods or services to customers. Revenue is the lifeblood of a business, as it covers the costs of production, operation, and growth. Without revenue, a business cannot survive or fulfill its other purposes.

Maximizing profits means increasing the difference between revenue and costs. Profits are the reward for creating value for customers and stakeholders. Profits can be reinvested in the business to improve quality, efficiency, innovation, and competitiveness. Profits can also be distributed to shareholders, employees, or society as dividends, wages, or donations.

Therefore, by unitary method the answer will be earning revenue and maximizing profits.

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Answer:

x = 31°

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180° , that is

x + 54° + 95° = 180°

x + 149° = 180° ( subtract 149° from both sides )

x = 31°

Answer:

f(x) = x^(1/2) + 3

Step-by-step explanation:

Translating to the right 3 units would change these:

0^(1/2) = 0 /// 3 units to the right would be (0,3)

1^(1/2) = 1 //// 3 units to the right would be (1,4)

4^(1/2) = 2 //// 3 units to the right would be (4,5) etc

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

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

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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