1 Factor out a monomial NMZ
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The sides of the rectangle should be in improper fractions, to calculate the area.

When a side has a measurement that is a mixed number, it's recommended to convert it to an improper fraction before using it in the formula for area.

To convert a mixed number to an improper fraction, you multiply the whole number by the denominator of the fraction part and add the numerator.

Then, you put the result over the original denominator.

Once you have the sides of the rectangle as improper fractions, you can proceed to calculate the area using the formula: area = length x width.

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The three accurate statements concerning the new prism are as follows:

The volume will experience a growth of 6 units, as each of the three dimensions is increased by 2.

This can be calculated by multiplying 2 by 3, resulting in an increase of 6.

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The requried, predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.

To find the number of subscriptions in the year 2020, we need to find the value of y when x = 10 (since x is the number of years after 2010).

Substituting x = 10 into the equation y = 1.56x + 72.7, we get:

y = 1.56(10) + 72.7

y = 15.6 + 72.7

y = 88.3

Therefore, the predicted percentage of U.S. households with an Internet subscription in 2020 is approximately 88.3%.

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Answer:

9180 (cm³)

Step-by-step explanation:

area of cross-section (trapezium) = 0.5 X (12 + 22) X 9

= 0.5 X 34 X 9 = 153 cm²

then multiply that by the length (60)

153 X 60 = 9180 (cm³)

Answer:

exact form : 2√3

decimal form : 3.46410161… or 3.46

hope this helps you!

Answer:

The value of the function is [tex]\sqrt{12}[/tex]. Rounded to the nearest hundredth, the answer is 3.46

Step-by-step explanation:

We are given the value of x, so we simply have to evaluate the function:

[tex]f(x)=\sqrt{x+4}[/tex]

Substitute 8

[tex]f(8)=\sqrt{8+4}[/tex]

Add in the radical

[tex]\sqrt{12}[/tex]

The value of the function is sqrt(12).

Rounded to the nearest hundredth: [tex]3.46[/tex]

There are a total of 15 good students, 35 weak and 40 in bad shape if number of good students are fraction of 1/6th of total students.

As we know that the total number of students are 90.

Good students are fraction of 1/6th of total students.

Good students= 1/6x90

Good students=15

There are 40 good students in a whole block, so X = 40.

In the whole grade, average number of students is 1/3 of students in whole grade.

Students in each class = 1/3x90

Students in each class = 30

Students who are not good in economics and government = 90-40

Students who are not good in economics and government = 50

As the total number of students is sum of good students and weak students.

15+Weak students =90-40

15+Weak students=50

Weak students=50-15

Weak students=35    

So, total of 15 good students, 35 weak and 40 in bad shape.

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A construction of the box-and-whisker plot based on the data is shown below.

In Mathematics and Statistics, a box plot is also known as a box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Based on the data (information) provided above, the five-number summary for the given data set include the following:

In conclusion, we can reasonably infer and logically deduce that the maximum number is 10 while the minimum number is 2, and the median is equal to 5.

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Answer:

Step-by-step explanation:

If we know that 2/5 of the number is 14, 5/5 must be the answer Paul is thinking of.

= (14/2) x 5 <---- This is 1/5 of the number

= 35

∴, the number Paul is thinking of if 35

The amount of water that flows into the tank each minute is given as follows:

0.56 cm.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The dimensions for this problem are given as follows:

45 cm, 50 cm and 38 cm.

Hence the volume of the tank is given as follows:

V = 45 x 50 x 38

V = 85,500 cm³.

Three-fifths of the volume is given as follows:

3 x 85500/5 = 51300 cm³.

The height associated with 3/5 of the volume is given as follows:

50 x 38 x h = 51300

h = 51300/(50 x 38)

h = 27 cm.

This means that 27 - 13 = 14 cm flew into the tank in 25 minutes, hence the minute rate is given as follows:

14/25 = 0.56 cm.

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The volume of the cylinder, when expressed as a function of the height of same cylinder, is V ( h ) = 40 h ft ³.

The volume V of a cylinder is given by the formula:

V = Area of the base of the cylinder x height of the cylinder

Given that the area of the base A is 40 ft², you can substitute this into the formula to express the volume as a function of height:

V ( h )  = 40 ft ² x h

V ( h ) = 40h ft ³

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Answer:

can you be more clear

Step-by-step explanation:

what exactly does question need

The amount of fluid ounces of water the water bottle can hold is 48 fluid ounces.

Annabel's water bottle holds 6 cups of water.  Therefore, the amount in fluid ounces the bottle water can hold can be calculated as follows:

Therefore,

1 cup = 8 fluid ounces

6 cups = ?

cross multiply

Hence,

number of fluid ounces of water the water bottle can hold = 8 × 6

number of fluid ounces of water the water bottle can hold = 48 fluid ounces.

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The combined length of the two pieces of wire is 3/2 inches or 1 and 1/2 inches.

To find the combined length of the pieces of wire, we need to add the lengths of the two pieces of wire together.

The first piece of wire is 7/8 of an inch long.

The second piece of wire is 5/8 of an inch long.

To add the two fractions, we need to find a common denominator. The smallest number that both 8 and 5 will divide into is 40.

7/8 can be rewritten as 35/40 (multiply the numerator and denominator by 5)

5/8 can be rewritten as 25/40 (multiply the numerator and denominator by 5)

Now we can add the two fractions:

35/40 + 25/40 = 60/40

Simplifying the fraction:

60/40 = 3/2

Therefore, the combined length of the two pieces of wire is 3/2 inches or 1 and 1/2 inches.

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Answer:

Perdón no te puedo ayudar no entiendo

Step-by-step explanation:

To find the average velocity of the particle over the interval [1, e], we need to calculate the net displacement divided by the time interval.

Given the position function x(t) = ln(t), let's find the displacement by evaluating x(e) and x(1):

x(e) = ln(e) = 1

x(1) = ln(1) = 0

So, the net displacement is 1 - 0 = 1.

The time interval is e - 1.

Therefore, the average velocity is:

average velocity = (net displacement) / (time interval)

average velocity = 1 / (e - 1)

The correct answer is B. 1/(e - 1).

After using Gauss-Jordon elimination method, the solution for the system of equation is as follows;

[tex]\left[\begin{array}{cccc}1&0&0&-1\\0&1&0&-3\\0&0&1&-2\end{array}\right][/tex]

To solve the system of equation, its needs us to use the Gauss-Jordon elimination method. Therefore, the matrix

- 5  7  7  -30

1  -4   4    3

2   -4   6   -2  will be reduced to its echelon form as follows;

 R₁ ÷ 5                                   R₂ - R₁                       R₃ - 2× R₁

1  −1.4 −1.4   6                   1  −1.4 −1.4   6                1  −1.4 −1.4   6        

1   −4    4    3                    0  2.6  5.4  -3                0  2.6  5.4  -3

2 −4    6  −2                     2 −4    6  −2                  0  −1.2  8.8 −14

   R₂  ÷ -2.6                          R₃ - 1.2 R₂

1    −1.4    −1.4     6                1    −1.4    −1.4     6

0     1    -2.077  1.154            0     1    -2.077  1.154

0  −1.2     8.8    −14              0    0      1         -2

  R₁ - 1.4R₃                                 R₂ - 2.077R₃                 R₁ - 1.4R₂

1  -1.4  0  3.2                              1  -1.4  0  3.2               1   0    0   -1

0   1  -2.077  1.154                     0   1     0   -3               0   1     0   -3

0  0   1  -2                                  0   0    1    -2               0   0    1    -2          

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Answer: 3r

Step-by-step explanation: because 2r+1r=3r

The test statistic is 14.5 and the P-value is less than 0.05. Therefore, we have evidence to suggest that the distribution of days of the week of the appointments disagrees with an Even distribution.

To carry out the chi-squared goodness-of-fit test, we need to calculate the expected number of appointments for each day if there were an even distribution. Since there are 5 days of the week, each day would have an expected value of 100 (i.e., 500 appointments / 5 days = 100 appointments per day).

Day | Monday | Tuesday | Wednesday | Thursday | Friday

Observed | 115 | 100 | 115 | 100 | 70

Expected | 100 | 100 | 100 | 100 | 100

To calculate the chi-squared test statistic, we use the formula:

χ2= ∑ (observed − expected)^2 / expected

Plugging in the observed and expected values, we get:

χ2= [(115 - 100)^2/100] + [(100 - 100)^2/100] + [(115 - 100)^2/100] + [(100 - 100)^2/100] + [(70 - 100)^2/100]

  = 2.75 + 0 + 2.75 + 0 + 9

  = 14.5

To find the P-value, we need to use the chi-squared distribution table with 4 degrees of freedom (5 days of the week minus 1 for the expected value). Using the table, we find that the P-value for a chi-squared statistic of 14.5 with 4 degrees of freedom is less than 0.05. Therefore, we reject the null hypothesis that the appointments have an even distribution from Monday through Friday.the test statistic is 14.5 and the P-value is less than 0.05. Therefore, we have evidence to suggest that the distribution of days of the week of the appointments disagrees with an even distribution.

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Answer: what subject, and i got you.

Step-by-step explanation:

Answer:

34 units²

Step-by-step explanation:

triangle=1/2×5×2=5

other triangle at the right=5

square 6 ×5= 30

unshaded square= 3×2=6

30-6=24

total=5+5+24=34units²

The solution is: the period for the graph of y = cos (0) is:

c.360

We have the following equation:

y = cos (0)

The first thing you should know is that the period of a function is that value for which the function repeats itself.

We have then:

y = cos (0) = 1

y = cos (360) = 1

Therefore, the period is 360.

Answer:

the period for the graph of y = cos (0) is:

c.360

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complete question:

What is the period for the graph of y=cos(0)? (Sketch a graph to help determine the answer.)

a.180

b.90

c.360

d.270

The amount of volume of 1 coin in the stack underneath is 0.433 cm³. The distance between the coins is 1 in, and each coin having a radius approximately 0.5 in. 7 inches make up the tilt.

Any three-dimensional solid's volume is the area it takes up. The volume of these solids include cubes, cuboids, cones, cylinders, and spheres. Different shapes have different volumes. We have looked at a variety of three-dimensional solids and shapes, including cubes, cuboids, cylindrical objects, cones, and and more.

V= πD²×h/4

  =π0.5²×7/4

   = 0.433 cm³

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Answer:

B) strong

Step-by-step explanation:

The correlation coefficient is close to 1, meaning it is both a strong correlation and a positive correlation.

All points that lie on the line that passes through point `P` and is perpendicular to line ' t' are: (4, -1) and (6, -5)

The equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

Using two coordinates on line t as: (-4, 1) and (2, 4), the slope of the line t is:

Slope = (4 - 1)/(2 + 4)

Slope = 3/6

Slope = 1/2

Equation of line t is:

(y - 1)/(x + 4) = 1/2

y - 1 = x/2 + 2

y = ¹/₂x + 3

Thus, slope of line passing through P and perpendicular to t is: -1/(1/2) = -2

Now, coordinates of point P is (3, 1). Thus:

Equation passing through point P and perpendicular to line t is:

(y - 1)/(x - 3) = -2

y - 1 = -2x + 6

y = -2x + 7

The only coordinates that fits into this are (4, -1) and (6, -5)

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(a) The leading coefficient is 4

(b) The degree is 8

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

4xy⁸

Consider an expression ax where the variable is x

The leading coefficient of the variable in the expression is a

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

The leading coefficient is 4

Consider an expression axⁿ where the variable is x

The degree of the variable in the expression is n

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

The degree is 8

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The volume of the prism is 195 cubic meters.

To find the volume of the prism, we need to multiply the length, width, and height of the prism.

Length = 13 m

Width = 3 m

Height = 5 m

Volume = Length x Width x Height

Volume = 13 m x 3 m x 5 m

Volume = 195 cubic meters

Answer:

r = 7

Step-by-step explanation:

equation of circle is (x - a)² + (y - b)² = r²

where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.

x² - 8x + y² - 10y = 8

we need to complete the sqaure for both x and y

x² - 8x = (x - 4)² = x² - 8x + 16, which is 16 more than x² - 8x. so we need to subtract that 16.

we now have (x - 4)² - 16.

now do the same with y

(y - 5)² = y² - 10y + 25, which is 25 more than y² - 10y. so we need to subtract 25.

we now have (y - 5)² - 25.

back to our full equation.

(x - 4)² -16 + (y - 5)² - 25 = 8

(x - 4)² + (y - 5)² - 41 = 8

(x - 4)² + (y + 5)² = 49 = r²

radius r = √49 = 7

A positive value for n that makes the statement true is n = 1.5.

We need to find a positive value for n that satisfies the given inequality: 1 < 1 x n < 2.
Step 1: Choose a value of n such that it's greater than 1 when multiplied by 1.
Step 2: Ensure the chosen value also makes the product less than 2 when multiplied by 1.
Let's try n = 1.5:
1 x 1.5 = 1.5
Now, let's check if it satisfies the inequality:
1 < 1.5 < 2
Yes, it does. So, a positive value for n that makes the statement true is n = 1.5.

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