The total sound power, in decibels, from x objects each producing 50 decibels of sound power is given by the function f(x) = 50 + 10 log x. Suppose each of the x objects increases its sound power by 10 decibels, so that the new total sound power, in decibels, is given by the function g(x) = f(x) + 10. Which shows the graphs of f(x) and g(x)? On a coordinate plane y = g (x) starts at (0, 60) and curves up through (10, 70). Y = f (x) starts at (0, 50) and curves up through (10, 60). On a coordinate plane y = f (x) starts at (0, 50) and curves up through (10, 60). y = g (x) starts at (0, 40) and curves up through (10, 50). On a coordinate plane, y = f (x) starts at (0, 50) and curves up through (10, 60). Y = g (x) starts at (10, 50) and curves up through (20, 60). On a coordinate plane, y = g (x) starts at (negative 10, 50) and curves up through (0, 60). Y = f (x) starts at (0, 50) and curves up through (10, 60). Mark this and return

Answer:

The sample mean weight is 16.235 ounces, and the margin of error is 0.360 ounces

Step-by-step explanation:

To find the sample mean, we can find the mean of the confidence interval.

(15.875 + 16.595)/2 = 16.235

To find the margin of error, that is the difference between the mean and one of the edges of the confidence interval. 16.595 - 16.235 = 0.36

The sample mean weight is 16.235 ounces, and the margin of error is 0.360 ounces

Answer:

C. We are 90% confident that the interval from 15.875 ounces to 16.595 ounces captures the true mean weight of bags of grapes.

Step-by-step explanation:

Answer:

[tex]\sqrt{97} \\ \sqrt{9^{2}+4^{2} }[/tex]

Step-by-step explanation:

Answer:

option a is correct by using quadratic formula

Step-by-step explanation:

Option B is correct. Refer to the attachment!

Answer:

-10

Step-by-step explanation:

Step-by-step explanation:

hope it helps

Answer:

12

Step-by-step explanation:

First lets list all the factors of these numbers

72: 1,2 3,4,6,8,9,12,18,24,36,72

84: 1 , 2 , 3 ,4 , 6 , 7 , 12 , 14 ,  21 , 28 , 42 , 84

Now lets find the biggest number that is a factor of both 84 and 72  

as we can see the highest number that is the factor of both 84 and 72 is 12

12 is the hcf

Answer:

please provide an image.

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because

Answer:

Cardinality of the power set of the given set = [tex]2^6=64[/tex]

Step-by-step explanation:

Power set is the set of all the possible subsets that can be formed from the given set including the null set and the set itself.

Example set:

{1,2,3}

All the possible subsets of this set:

{}; {1}; {2}; {3}; {1,2,3}; {1,2}; {1,3}; {2,3}

The power set of the above set is written as:

P({ {}, {1}, {2}, {3}, {1,2}, {1,3}, {2,3}, {1,2,3} })

Since the no. of elements in the above power set in this example is 8 therefore its cardinality is 8.

Cardinality of the power set of a given set is expressed by a formula: [tex]2^n[/tex]

where n is the cardinality (no. of elements) of the given set whose power set is to be formed for determining cardinality of the power set.

Hence in the given case, we have  n = 6.

Answer:

The number of fours divided by the total number of possibilities. If there are two fours and 8 spaces, the probability is 2/8 = 1/4.Step-by-step explanation:

0.9.30 am to 4.30 p.m. is 7 hours.

If we minus 30 minutes from it then it is 6 hours 30 minutes.

Answer:

Step-by-step explanation:

Answer:

hope it will help u

Answer:

Xin hãy đánh dấu cho tôi là một người tồi tệ nhất

Để tìm chu vi hình vuông, bạn phải nhân 2 cạnh với 4..

Sử dụng công thức

chu vi = 4 * (một mặt)

Answer:

The probability of getting two good coils is 77.33%.

Step-by-step explanation:

Since a batch consists of 12 defective coils and 88 good ones, to determine the probability of getting two good coils when two coils are randomly selected (without replacement), the following calculation must be performed:

88/100 x 87/99 = X

0.88 x 0.878787 = X

0.77333 = X

Therefore, the probability of getting two good coils is 77.33%.

9514 1404 393

Answer:

Step-by-step explanation:

The formula for figuring the amount that can be borrowed (P) is shown on the first line of the attachment. (The second line rounds it to the nearest cent.) In this formula, ...

  a = monthly payment, r = annual interest rate, t = number of years

The amounts requested by the problem statement are shown in the attachment, and above. b is the amount that can be borrowed, p is the total of payments, and i is the interest paid. There are 360 monthly payments in 30 years, so the total paid is 360 times the monthly payment amount.

Answer:

the larger number is 69

the smaller number is 16

Step-by-step explanation:

x is the smaller number

y is the larger number

x + y = 85

y - 4x = 5

y = 5 + 4x

x + 5 + 4x = 85

5x = 80

x = 16

y = 69

Answer:

(21.064 ; 23.136)

Step-by-step explanation:

Given :

Sample, n = 80

Mean, xbar = 22.1

Standard deviation, s = 5.6

Standard Error, S. E = 0.63

Confidence interval :

Xbar ± Zcritical * S.E

22.1 ± (1.645 * 0.63)

22.1 ± 1.036

Lower boundary = 22.1 - 1.036 = 21.064

Upper boundary = 22.1 + 1.048 = 23.136

(21.064 ; 23.136)

Step-by-step explanation:

y=k/x

Answer:

x=2pi/3 +2pi n, 4pi/3 +2pi n for all integar of n.

Step-by-step explanation:

Answer:

Grey's Anatomy

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Midpoints are found by averaging the coordinates.

Averaging " add all the numbers and divide by the number of numbers.

Here, there are only 2 numbers. So, you divide by 2.

(1,2) (1,-5)

[tex]\frac{1 +1}{2}[/tex] , [tex]\frac{2 + (-5)}{2}[/tex]

[tex]\frac{2}{2}[/tex] , [tex]\frac{-3}{2}[/tex]

(1, [tex]\frac{-3}{2}[/tex] )

Answer:

C.

Step-by-step explanation:

For an angle to be supplementary to another angle, they must be equal to 180. Angles 6, 10, 13, and 9 are all supplementary to angle 16. Although there are more choices in different answers it wouldn't work with question, so C is the right answer.

Angle 16 is supplementary to angle 9 by the Same Side Interior Angles Theorem, which makes it supplementary to angle 10 by the Alternate Exterior Angles Theorem, which is also congruent to angle 13 by the Vertical Angles Theorem, which is also supplementary to angle 6 by the Alternate Exterior Angles Theorem.

Answer:

Milk   10 L

Vanilla essence  = 20 ml

Sugar   = 1kg

Egg yolks   100 yolks

Step-by-step explanation:

2l/250ml = 8 servings per recipe ,

40 servings/8 = 5 "batches"

Milk 2 L * 5 = 10 L

Vanilla essence 4 ml * 5 = 20 ml

Sugar 200 g * 5  = 1000g = 1kg

Egg yolks 20 * 5 = 100 yolks

Answer:

LP ⊥ PN

Step-by-step explanation:

Given

[tex]L = (-4, 1)[/tex]

[tex]M = (2, 4)[/tex]

[tex]N = (3, 2)[/tex]

[tex]P = (-3, -1)[/tex]

See attachment

Required

What proves LMNP is a rectangle

The additional information needed is LP ⊥ PN

Because:

[tex](a)\ LM= \sqrt{45}; MN = \sqrt{5}[/tex]

This can be true for other shapes, such as trapezoid, etc.

[tex](b)\ m(LP) = m(MN) = -2[/tex]

The slopes of LP and MN will be the same because both sides are parallel; However, this is not peculiar to rectangles alone. Same as option (c)

(d) LP ⊥ PN

This must be true i.e. LP must be perpendicular to PN

Answer:

d

Step-by-step explanation:

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

Costing is a measurement of the cost of production of goods and services by assessing the fixed costs and variable costs associated with each step of production.

Fixed cost can be defined as predetermined expenses in a business that remain constant for a specific period of time regardless of the quantity of production or level of outputs. Some examples of fixed costs in business are loan payments, employee salary, depreciation, rent, insurance, lease, utilities etc.

On the other hand, variable costs can be defined as expenses that are not constant and as such usually change directly and are proportional to various changes in business activities. Some examples of variable costs are taxes, direct labor, sales commissions, raw materials, operational expenses etc.

In Financial accounting, the three methods used to classify costs into their fixed and variable components includes high-low method, scatter diagrams and least-squares regression.

The high-low method is a quick and easy way to estimate costs by using historical accounting information from a range of reporting periods.

A scatter diagram (scattergraph) estimate costs by considering all the data points and not just the lowest or highest point.

A least squares regression line is a standard technique in regression analysis used to make the vertical distance obtained from the data points running to the regression line to become very minimal or as small as possible.

Generally, the sum of the residuals of a least squares regression line is always equal to zero.

Answer:

a. high-low method.

b. scatter diagrams.

d. least-squares regression.

Step-by-step explanation:

The three methods used to classify costs into their fixed and variable components includes:

Answer:

y = -6x + 1

Step-by-step explanation:

y = mx + b

b = slope = (-5 - (-17))/(1 - 3) = 12/(-2) = -6

y = -6x + b

-5 = -6(1) + b

b = 1

y = -6x + 1

Answer:

[tex]y=-6x+1[/tex]

Step-by-step explanation:

The linear equation with slope m and intercept c is given as follows:

[tex]y=mx+c[/tex]

The formula for slope of line with points [tex](x_{1} ,y_{2} )[/tex] and [tex](x_{2} ,y_{2} )[/tex] can be expressed as,

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

The line passes the points that are [tex](1,-5)[/tex] and [tex](3,-17)[/tex]

The slope of the line can be obtained as follows:

[tex]m=\frac{-17-(-5)}{(3)-1}[/tex]

[tex]m=\frac{-12}{2}[/tex]

[tex]m=-6[/tex]

The slope of the line is [tex]-6[/tex]

The line passes through the point [tex](3,-17)[/tex]

Substitute 3 for x, - 6 for m and -17 for y in equation [tex]y=mx+c[/tex] to obtain the value of c.

[tex]-17=-6(3)+c[/tex]

[tex]-17=-18+c[/tex]

[tex]-17+18=c[/tex]

[tex]1=c[/tex]

The equation is [tex]y=-6x+1[/tex]

Hence, the equation of the line that passes through the points [tex](1,-5)[/tex] and [tex](3,-17)[/tex] is [tex]y=-6x+1[/tex]

Answer:

925



Step-by-step explanation:

Formula =592 x 100/64 = 925

Answer:

Option B

Step-by-step explanation:

Function 'g' is,

g(x) = x²

Since, leading coefficient of this function is positive, parabola is opening upwards.

From the graph attached,

Function 'f' is opening upwards leading coefficient of the function will be positive.

Since, the graph of function 'f' is vertically stretched, equation will be in the form of f(x) = kx²

Here, k > 1

Since, function 'f' is formed by shifting the graph of function 'g' by 1 unit upwards,

f(x) = g(x) + 1

Combining all these properties, equation of the function 'f' should be,

f(x) = 4x² + 1

Option B will be the correct option.

Answer: You will never reach a sum of 2. You would need infinitely many terms to sum up.

============================================================

Explanation:

We have this sequence

1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64, ...

which is geometric with the following properties

Notice how we multiply each term by 1/2 to get the next term. Eg: (1/4)*(1/2) = 1/8 or (1/16)*(1/2) = 1/32.

Since r = 0.5 is between -1 and 1, i.e. -1 < r < 1 is true, this means that adding infinite terms of this form will get us to approach some finite sum which we'll call S. This is because the new terms added on get smaller and smaller.

That infinite sum is

S = a/(1-r)

S = 1/(1-0.5)

S = 1/0.5

S = 2

So if we keep going with that pattern 1+1/2+1/4+... and do so forever, then we'll reach a sum of 2. However, we cannot go on forever since it's asking when we'll reach that specific sum. In other words, your teacher wants finitely many terms to be added.

In short, we'll never actually reach the sum 2 itself. We'll just get closer and closer.

Here's a list of partial sums

We can see that we're getting closer to 2, but we'll never actually get there. We'd need to add infinitely many terms to get to exactly 2.