What does 85×35+6÷12=?

Answer:

First algorithm will have fewer comparison than second as the value of n grows.

Step-by-step explanation:

As n grows, first algorithm will perform better then other.

Consider the ratio of number of comparison done by second algorithm with number of comparison done by first algorithm, the ratio will be \($n^{3 / 2} /(n \log (n))=\sqrt{n} / \log n=\log 2^{\sqrt{n}} / \log n$\)

Since log function is monotonically increasing function and \($2^{\sqrt{n}}>n$\) for all \($n>4$\). Hence first algorithm will have fewer comparison than second as the value of n grows.

Answer: The total volume of milk would be \(\dfrac{1}{2}\ gallon\)

Step-by-step explanation:

Since we have given that

Volume = \(\dfrac{1}{4}\ gallon\)

Number of weeks = 2

So, Total volume of milk that Gino's family drank would be

\(\dfrac{1}{4}\times 2=\dfrac{1}{2}\ gallon\)

Hence, the total volume of milk would be \(\dfrac{1}{2}\ gallon\)

Answer:

6 gallons

Step-by-step explanation:

The areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

What are composite figures?

A composite figure is a shape that is produced from two or more fundamental shapes. Composite figures are also referred to as compound and complex shapes frequently.

Figure 1

This figure can be broken into two rectangles.

First rectangle with length 5 and width 4.

Second rectangle with length 8 and width 2 (as 6-4 is 2).

Area of rectangle= length*width

So, area of first rectangle= 5*4= 20 square units

Area of second rectangle= 8*2= 16 square units

Thus,

Area of figure= 20+16= 36 square units

Figure 2

This figure can be broken into two rectangles.

First rectangle with length 7 and width 3(as 6-3 is 3).

Second rectangle with length 2 and width 3.

Area of rectangle= length*width

So, area of first rectangle= 7*3= 21 square units

Area of second rectangle= 2*3= 6 square units

Thus,

Area of figure= 21+6= 27 square units

Figure 3

This figure can be broken into two rectangles.

First rectangle with length 12 and width 5.

Second rectangle with length 3 and width 2(as 12-(6+4) is 2).

Area of rectangle= length*width

So, area of first rectangle= 12*5= 60 square units

Area of second rectangle= 3*2= 6 square units

Thus,

Area of figure= 60+6= 66 square units

Figure 4

This figure can be broken into a rectangle and a semicircle.

Rectangle with length 8 and width 4.

Semi-circle with radius 2 ( as diameter is 4).

Area of rectangle= length*width

So, area of rectangle= 8*4= 32 square units

Area of semi-circle= 1/2πr^2

So, area of semi-circle= 1/2π(2)^2= 2π square units

Thus,

Area of figure= 32+2π square units

Figure 5

This figure can be broken into a rectangle and two squares.

Rectangle with length 10 and width 6(as 8-2 is 6).

Both squares with side 2.

Area of rectangle= length*width

So, area of rectangle= 10*6= 60 square units

Area of square= side^2

So, area of first square= 2^2= 4 square units

area of second square= 2^2= 4 square units

Thus,

Area of figure= 60+4+4= 68 square units

Hence, the areas of the composite figures are 36 square units, 27 square units, 66 square units, 32+2π square units and 68 square units  respectively.

Learn more about composite figures from the given link

https://brainly.com/question/10254615

#SPJ1

Answer:

7/10, 6/10, or 5/10

Step-by-step explanation:

So, first, we change 4/5 into tenths. That equals 8/10. 3/10 and 8/10.

The correct value of Jessica's new net salary will be $225.

To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.

Let's denote Sarah's gross salary as "G." We can set up the following equation:

G - 15% of G = $212.50

Simplifying the equation, we have:

G - 0.15G = $212.50

0.85G = $212.50

G = $212.50 / 0.85

G ≈ $250

Sarah's gross salary is approximately $250.

Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:

Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary

Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250

Jessica's net salary = $250 + $12.50 - $37.50

Jessica's net salary = $225

Therefore, Jessica's new net salary will be $225.

Learn more about equation here:

https://brainly.com/question/29174899

#SPJ8

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

For more such questions on homework

https://brainly.com/question/28521601

#SPJ8

Answer:

b= -15

Step-by-step explanation:

First combine like terms 9-16= -7

Left 3b-7= -52

Next add 7 to both sides

Left 3b= -45

Finally divide

So b= -15

To determine the amount of time it would take for an investment to double in size when earning 4.73% interest compounded continuously, we can use the formula:

t = (ln 2) / r

where t is the time, ln is the natural logarithm, 2 is the factor by which the investment needs to grow, and r is the interest rate as a decimal.

Substituting the given values, we get:

t = (ln 2) / 0.0473

Using a calculator or approximation, we find:

t ≈ 14.67 years

Therefore, it would take approximately 14.67 years for the investment to double in size at an interest rate of 4.73% compounded continuously.

The quadratic function f(x) =\(3(x+3)^2 - 7\) has a minimum at x = -1, and the minimum value is 5.

To determine whether the quadratic function f(x) =\(3(x+3)^2 - 7\)has a minimum or maximum, we can examine the coefficient of the x^2 term, which is positive (3 in this case).

When the coefficient of the x^2 term is positive, the parabola opens upward, indicating that the function has a minimum value. The vertex of the parabola represents the minimum point.

Now let's find the coordinates of the vertex, which will give us the minimum value of the function.

The general form of a quadratic function is f(x) =\(ax^2 + bx + c\), where the vertex can be found using the formula:

x = -b / (2a)

In our case, a = 3 and b = 3*2 = 6 (from (x+3)^2).

Substituting the values into the formula, we have:

x = -6 / (2 * 3)

x = -6 / 6

x = -1

To find the y-coordinate of the vertex, we substitute the x-value (-1) into the function:

\(f(-1) = 3((-1)+3)^2 - 7\)

\(f(-1) = 3(2)^2 - 7\)

f(-1) = 3(4) - 7

f(-1) = 12 - 7

f(-1) = 5

The graph of this function will have a downward-opening parabola, and the vertex will be the lowest point on the curve.

For more such questions on  quadratic function visit:

https://brainly.com/question/1214333

#SPJ8

The sum total by the given data is equals to $658,880.

We are given that;

Percent=15%

Amount= $98,880

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

To divide by a percentage, we can convert it to a decimal by moving the decimal point two places to the left. This gives us:

15% = 0.15

To divide by 0.15, we can multiply by its reciprocal, which is 1/0.15. This gives us:

$98,880 / 0.15 = $98,880 x 1/0.15

To multiply by 100, we can move the decimal point two places to the right. This gives us:

$98,880 x 1/0.15 x 100 = $658,880

Therefore, by the percentage the answer will be $658,880.

Learn more about percent here:

https://brainly.com/question/11549320

#SPJ1

Answer:

Step-by-step explanation:

Answer:

Surface area is also 384.

Step-by-step explanation:

A = 12 × 12 + 12 × √(12/2)² + 8² + 12 × √(12/2)² + 8² = 384

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

Read more on multiplication:

https://brainly.com/question/10873737

#SPJ1

Using distributive property, the solution to the given expression is: 50v - 40w + 20

The Distributive Property is a term which is an algebra property which is used to multiply a single term and two or more terms inside a set of parentheses.

For example:

4(3 + 5)

According to the distributive property, you first have to multiply out the bracket to get:

4*3 + 4*5 = 12 + 20

= 32

Thus:

5(10v - 8w + 4) = (5 * 10v) - (5 * 8w) + (5 * 4)

= 50v - 40w + 20

Read more about Distributive property at: https://brainly.com/question/4077386

#SPJ1

Answer:

C. y <= -3x + 3

Answer:

The correct answer is C: \(y\le-3x+3\)

Step-by-step explanation:

Here is a graph:

Hope this helps! Brainliest would be much appreciated! Have a great day! :)

Answer:

  2268π ft³ ≈ 7125 ft³

Step-by-step explanation:

You want the volume of a 22 ft long cylinder capped by a hemisphere 9 ft in radius.

The formula for the volume of a cylinder of radius r and height h is ...

  V = πr²h

The formula for the volume of a hemisphere of radius r is ...

  V = 2/3πr³

The sum of the volumes of the two figures is ...

  Vtotal = πr²h +2/3πr³ = πr²(h +2/3r)

Using the given values for height and radius, we find the volume to be ...

  Vtotal = π(9 ft)²(22 ft + 2/3(9 ft)) = π(9 ft)²(28 ft)

  Vtotal = 2268π ft³ ≈ 7125 ft³

The volume of the composite is about 7125 cubic feet.

Answer: y=x-6

Step-by-step explanation:

2x-2y-12=0

1. Add 2y to both sides:

2x-12=2y

2. Divide both sides by 2

x-6=y

The equation 2x - 2y - 12 = 0 can be written in slope-intercept form as

y = x - 6.

The slope-intercept form of an equation is given by y = mx + b, where 'm' represents the slope of the line and 'b' is the y-intercept. To convert the given equation into slope-intercept form, we need to isolate 'y' on one side of the equation

Starting with the given equation: 2x - 2y - 12 = 0

First, add 2y to both sides: 2x - 12 = 2y

Next, divide both sides by 2: x - 6 = y

Now the equation is in the form y = x - 6, which is the slope-intercept form.

The slope (m) is 1, indicating that for every 1 unit increase in 'x', 'y' increases by 1 unit.

The y-intercept (b) is -6, meaning the line crosses the y-axis at the point (0, -6).

In summary, the equation 2x - 2y - 12 = 0 is transformed into y = x - 6 in slope-intercept form, where the slope represents the rate of change and the y-intercept represents the starting point on the y-axis.

This form makes it easier to understand and graph the relationship between 'x' and 'y' values on a coordinate plane.

To know more about Slope-Intercept Form here

https://brainly.com/question/33412520

#SPJ3

Answer:

1 gal 9 qt

Step-by-step explanation:

Answer:

1.75 US Gallons

Step-by-step explanation:

(3 gal 2 qt) - (1 gal 3 qt) =

1.75 US gallons

The number of times the heart beats per minute while the body is at rest. Regular exercise can help to Lower resting heart rate, which is beneficial for heart health.

The given graph shows the relationship between James's resting heart rate and the number of hours he exercises per day. The number of hours is shown on the x-axis, and the resting heart rate is shown on the y-axis.

The graph shows a decreasing trend as the number of hours of exercise per day increases. Resting heart rate decreases as the hours of exercise increase.  For every hour of exercise, James's resting heart rate decreases by about 3 beats per minute.

When he exercises 4 hours a day, his resting heart rate decreases by about 12 beats per minute. Hence, his resting heart rate will be 68 - 12 = 56 beats per minute. Therefore, James's resting heart rate is about 56 beats per minute.  Resting heart rate is an important indicator of cardiovascular health.

It measures the number of times the heart beats per minute while the body is at rest. Regular exercise can help to lower resting heart rate, which is beneficial for heart health.

To know more about Lower .

https://brainly.com/question/28725724

#SPJ8

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

The parameters of the definition of the linear function are given as follows:

The graph touches the y-axis at y = 100, hence the intercept b is given as follows:

b = 100.

(representing the resting rate).

When x increases by 2, y decays by 10, hence the slope m is given as follows:

m = -10/2.

m = -5.

Hence:

y = -5x + 100.

Hence the value of y when x = 4 is given as follows:

y = -5(4) + 100

y = 80 beats per minute.

More can be learned about linear functions at https://brainly.com/question/15602982

#SPJ1

Answer:

a. k = 3

b. N = 27

c. n = 9

Step-by-step explanation:

Given that,

Source :          sS                 dF            mS                F

Between:                            k -1        sSB/k-1             mSB

within                                  N-K        sSw/N-K           mSw

total                                     N-1

Therefore F ( 2, 24 ) = F ( K - 1, N - K )

so K - 1 = 2

K = 2 + 1

K = 3

N - K = 24

N - 3 = 24

N = 24 + 3

N = 27

married, single and divorced are equal sizes

so n = N/3

n = 27 / 3

n = 9

a. k = 3

b. N = 27

c. n = 9

Answer:

I'm sorry

Step-by-step explanation:

I'm in middle school I wish I could help.

Answer:

-1.79

Step-by-step explanation:

(17-11) ^2-3^4/22 = 32.3

2-20 = -18

32.3 / -18 = -1.79

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

to know more about unitary method

https://brainly.com/question/28276953

Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

Step completed incorrectly:  2

Correct Answer: y = -4x + 22

Step-by-step explanation:

The graph is a straight line through points M(4, -1) and N(8, 0).  Point Q is located at (6, -2).

To calculate the slope of the line, substitute the points into the slope formula:

\(\textsf{Slope $(m)$}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{0-(-1)}{8-4}=\dfrac{1}{4}\)

Therefore, the slope of MN is 1/4, so step 1 of Francisco's calculations is correct.

If two lines are perpendicular to each other, the slopes of these lines are negative reciprocals. The negative reciprocal of a number is its negative inverse.

The negative reciprocal of 1/4 is -4.

Therefore, the slope of the perpendicular line is -4.

So Francisco has made an error in his calculation in step 2 by not making the perpendicular slope negative.

Corrected work

\(\textsf{Step 1:} \quad \sf slope\;of\;MN:\; \dfrac{1}{4}\)

\(\textsf{Step 2:} \quad \sf slope\;of\;the\;line\;perpendicular:\; -4\)

\(\begin{aligned}\textsf{Step 3:} \quad y-y_1&=m(x-x_1)\;\; \sf Q(6,-2)\\y-(-2)&=-4(x-6)\end{aligned}\)

\(\textsf{Step 4:} \quad y+2=-4x+24\)

\(\textsf{Step 5:} \quad y+2-2=-4x+24-2\)

\(\textsf{Step 6:} \quad y=-4x+22\)

Therefore, step 2 has been completed incorrectly.

The correct answer is y = -4x + 22.

Answer:

bottom half

bottom- 3 x 12.5 = 37.5

front side- 3 x 4 = 12

back side- 12

left side- 4 x 12.5 = 50

right side- 50

total: 161.5

top half

front triangle- (3x4)/2 = 6

back triangle- 6

left side- 4 x 12.5 = 50

right side- 50

total: 112

161.5 + 112 = 273.5

Answer:

12games, cost:71dollars

Step-by-step explanation:

Set x =number of games rentals will cost the same at both stores

5+5.5x=29+3.5x

2x=24

x=12

12games

5.5(12)+5=71

G(:,:) returns the matrix G in its original form. This command takes all elements of G and reshapes them into a single row vector. This means that all elements of G are included in the output, and the output is in the same shape as the original matrix.

G(:) reshapes all elements of G into a single column vector. This command takes all elements of G and places them into a single column. This means that all elements of G are included in the output, and the output is in a column vector.

G(7,6) returns an indexing error. This command attempts to access an element outside of the range of the matrix G. Since G is a 6 x 6 matrix, there is no element at the index (7,6).

max(G) returns the maximum entry in each column of G. This command takes the maximum value from each column and returns them as a single row vector. This means that the output contains the maximum value from each column and the output is in a single row vector.

sum(G) returns the sum of the entries in each column of G. This command takes the sum of all entries in each column and returns them as a single row.

Learn more about MATLAB:

https://brainly.com/question/27854252

#SPJ4

The size 60 will produce the widest 95% confidence interval when estimating the population parameter.

'A confidence interval is the mean of your estimate plus and minus the variation in that estimate.'

According to the given problem,

IN a sample with n number of people surveyed with a probability of a success of \(\pi\) and a confidence level of 1-α , we have the following confidence interval of proportions.

\(\pi\) ± \(z\sqrt{\frac{\pi (1-\pi )}{n} }\)

In which, z is the z score that has a p value of 1 -(α/2)

The margin of error is:

M = z \(\sqrt{\frac{\pi (1-\pi )}{n} }\)

The higher the margin of error, the wider an interval is.

As the sample size increases, the margin of error decreases. If we want, the widest possible interval, we should select the smallest possible confidence interval.

Hence, we can conclude that 60 is the correct answer.

Learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ2