1/3= round to the nearest hundredth

The 10th term of the series is 19.

Given series is an Arithmetic Progression (AP).

First term = a = 10

Difference = d = 11 -10

                        = 1

nth term = [tex]a_{n}[/tex] = a + (n-1)d

10th term = [tex]a_{10}[/tex] = 10 + (10 - 1)1

                        = 10 + 9*1

                        = 10 + 9

                        = 19

Hence, 10th term is 19.

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The equation that shows that angles angles formed by the diagonals and sides of the rhombus is x + y = z

The diagonals of rhombus intersect each other at 90 degrees

z =  angle formed at the diagonal = 90

x and y angle sides of the rhombus

applying the sum of angles of a triangle property

z + x + y = 180

where z = 90

90 + x + y = 180

x + y = 180 - 90

x+ y = 90

therefore x + y = z

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Answer:

Angle x = 113 degrees

Angle y = 67 degrees

Step-by-step explanation:

First, off you can eliminate the 200 degrees, because the maximum degrees is only 180 degrees. Then 23 and 11 are way to small of angles to look like what x and y look like, and 113 and 67 look much better than the other angles.

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The icon to view the customary units in 11880 yields is 6.75 mi

Unit conversion is a multi-step procedure that involves adding, subtracting, multiplying, or dividing by a conversion factor.

Additionally, rounding and choosing the appropriate number of significant digits may be necessary during the process.

To measure various parameters, various units of conversion are utilized.

Counting Length

Weighing Things

Evaluation of Capacity

Temperature Measurement

To better understand, we convert measurement units in mathematics.

For ease of understanding, the length of a table is measured in inches, whereas the length of a garden is measured in yards.

A finger's length cannot be expressed in kilometers.

Units of measurements are necessary to measure various quantities.

divide 11,880 yards length value by 1760 to get 6.75 miles

Therefore the icon to view the customary units in 11880 yields is 6.75 mi

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Answer:

5.1 units

Step-by-step explanation:

[tex]f(x)=5x-2\\f(3)=5(3)-2=13\\f(4)=5(4)-2=18[/tex]

[tex]\Delta x=1 unit=a\\\Delta y=5 units=b\\a^2+b^2=c^2\\(1)^2+(5)^2=c^2\\\sqrt26=c\\c=5.1 units[/tex]

The value of y' by implicit differentiation, the value of y is [tex]y = \sqrt{5x +c}[/tex]

We differentiate each side of an equation with two variables by taking one as a variable and the rest are constant.

Given

The function is [tex]y^2 + 5 = 5x[/tex]

where x and y are variables..

On differentiating the equation, we have;

[tex]2yy' + 0 = 5[/tex]

on simplifying, we have

2yy' = 5

Now solve the equation explicitly for y and differentiate to get y' in terms of x.

2yy' = 5

Separate the variables

[tex]y^2 = 5x + c[/tex]

Taking square root on both the side

[tex]y = \sqrt{5x +c}[/tex]

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a) The average wait time in the line = 13.33 minutes.

b) The average number of customer waiting on line = 4.67 minutes

What do you mean by average?

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

a) Values:

Arrival rate = 9 per hour

Service rate [tex]= \frac{60}{Service\ time}[/tex]

Service rate [tex]= \frac{60}{4.5} = 13.33[/tex]  minutes

b) Queue:

units in queue(LQ) = Arrival Time^2 / (Service rate* (Service rate - Arrival rate))

unit in queue(LQ) [tex]= \frac{ 9^2}{(13.33\times (13.33 - 9))}[/tex]

unit in queue(LQ) = 0.70

Time in Queue(WQ) = Arrival rate / (Service rate * (Service rate - Arrival rate))

time in queue (WQ) [tex]= \frac{9}{ (13.33 \times (13.33 - 9)}[/tex]

time in queue (WQ) = 4.67 minutes

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The variable y represents the range or output values of the function.

The range of a function is the set of output values of the function.

The given equation is y = mx + b.

Note that x is an independent variable, therefore, we substitute the values for x and calculate the value of y to that value of x.

Therefore, y denotes the range or output values of the function.

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If one plane can travel 10 miles per hour faster than another. The planes' speeds would be 435 miles per hour.

let s = speed of the slower plane

then

(s+10) = speed of the faster

time = distance /speed

495/s =510 /(s+10)

495s = 510s + 5100

Combine like terms

495 - 510s = 5100

15s = 5100

Divide both side by 15s

s = 5100/15

s = 425 mph  ( speed of the slower plane)

Speed of the fastest plane

(s+10)

425 +10

= 435 mph

Therefore  the speed of the fastest is 435 mph.

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Answer:

222-148=74 (people 3-2=1)

296-222=74 (people 4-3=1)

370-296=74 (people 5-4=1)

so 1/74 is the answer

Answer:

200

Step-by-step explanation:

Answer:

Amount of money Leanne will earn

= $14 × 15 subscriptions

= $210

Number of subscriptions Leanna sold last month

= $224 ÷ $14

= 16 subscriptions

x + y + 5 = 0 is the equation of the line that passes through the points (-5,0) and (-2,-3).

Given, two points (-5,0) and (-2,-3).

We are asked to find an equation of the line that passes through the given points.

As, we know

the equation of a line is

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 0)/(x - (-5)) = (0 - (-3))/(-5 - (-2))

y/(x + 5) = 3/-3

y/(x + 5) = -1

y = -(x + 5)

y = -x - 5

x + y + 5 = 0

Hence, x + y + 5 = 0 is the equation of the line that passes through the points (-5,0) and (-2,-3).

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If  your original purchase price was $825.00 plus 7% sales tax and  the interest is accrued from the date of purchase. The interest is $9.20.

First step is to find the monthly interest rate

Monthly interest rate =12.5% / 12

Monthly interest rate = 1.0417%

Second step is to find the total amount applied for credit

Total amount applied for credit=  $825+ ($825 × 7%)

Total amount applied for credit =$882.75

Now let find the interest

Interest = $882.75 x 1.0417%

Interest =$9.19

Interest = $9.20 (Approximately)

Therefore the interest is $9.20.

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Answer:

1. a late payment/missed fee

2. accrued interest

3. $9.20

4. $9.66

Hope This Helps!

The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x =7°.

What is vertically opposite angles?

So, (4x + 24)° = (6x - 10)°

24° - 10° = 6x - 4x

2x = 14°

x = 14°/2

x = 7°

Substitute x in those values:

(4x + 24) = (4(7) + 24)°

= 28+24

= 52°

(6x - 10)° = (6(7) -10)

= 42° - 10°

= 32°

Hence, the measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°;  The value of x =7°.

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Answer:

x = 7

Step-by-step explanation:

The measure of the angles are (4x + 24)° = 52° and (6x - 10)° = 32°; The value of x = 7°.

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

Explanation:

Check out the diagram below.

I recommend getting graph paper for this problem.

Draw a box that is 5 units tall and 4 units across. There are 5*4 = 20 small squares inside this box. Each small square represents 1/20.

Shade two of the five rows to represent the fraction 2/5. This is the amount of butter we have. The 4 columns shows the butter divided into 4 equal pieces. Note how each column has 2 shaded squares out of 5 squares total. Since each small square represents 1/20, two such squares gets us 2/20 = 1/10 which is the amount of butter per dish.

------------

Another approach would be to say

[tex]\frac{2}{5} \div 4 = \frac{2}{5} \times \frac{1}{4} = \frac{2*1}{5*4} = \frac{2}{20} = \frac{1}{10}[/tex]

The standard form of the given function (x + 1) (x + 3) (x - 4) is :

(x^3 -13x - 12) .

Here based on the given question,

We only want to expand the function and look up

f(x) = (x+1)(x+3)(x-4) in standard form.

We'll obtain:

f(x) = (x + 1)*(x + 3)*(x - 4)

f(x) = (x + 1)*(x^2 + 3*x - 4*x + 3*-4)

f(x) = (x + 1)*(x^2 - 1*x - 12)

f(x) = (x^3 + x^2 - x^2 - x - 12x - 12)

f(x) = (x^3 -13x - 12)

Using standard form, the function is:

f(x) = (x^3 -13x - 12)

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Answer:

3

Step-by-step explanation:

doin it now lol

Answer:

cost of each pencil [tex]= \frac{150}{x}[/tex]

The solutions to each of the given exponential functions are;

1) g = 1.356

2) u = 1.725

3) x = 3

4) k = -5.288

5)  a = 4/3

6) z = 1.295

7) x = 13/2

8) v = -1.5286

9) y = 4.17

10) b = 1.2648

Exponential equations are usually in the form a^(x) = b^(y) . To solve exponential equations with same base, we normally make use of the property of equality of exponential functions .

1) 7^(g) = 14

gIn 7 = In 14

g = In 14/In 7

g = 1.356

2) 6^(u) = 22

u In 6 = In 22

u = In 22/In 6

u = 1.725

3) 7^(x - 2) = 7

7^(x - 2) = 7¹

Equating the exponents gives;

x - 2 = 1

x = 3

4) (0.66)^k = 9

k In 0.66 = In 9

k = In 9/In 0.66

k = -5.288

5) Exponential equation 8^a = 16

2^(3a) = 2⁴

Equating the exponents gives;

3a = 4

a = 4/3

6) The exponential equation 12^z = 25;

z In 12 = In 25

z = In 25/In 12

z = 1.295

7) The exponential equation 4^(x-5) = 8

2^(2(x - 5)) = 2^(3)

2x - 10 = 3

2x = 13

x = 13/2

8) (0.28)^v = 7

vIn 0.28 = In 7

v = In 7/In 0.28

v = -1.5286

9) 2^y = 18

y In 2 = In 18

y = In 18/In 2

y = 4.17

10) 17^b = 36

b In 17 = In 36

b = In 36/In 17

b = 1.2648

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The values of p and q are 12 and 38 when for the missing outputs y when the table is given with input and output.

Given that,

The table is

Input        Output

X               Y

1                 0

3                4

4                6

7                 p

20              q

We have to find the p and q values.

Take the points as

(x,y)=(1,0),(3,4),(4,6),(7,p) and (20,q)

Take the points (1,0) and (3,4)

Equation of the line is

y=mx+b

Where

The slope of the line is m, and the intercept is b.

Slope of the line is rise/run

m=4-0/3-1

m=4/2

m=2

Now,

y=mx+b

0=2(1)+b

2+b=0

b=-2

The equation of the line is y=2x-2.

Take the point(7,p)

p=2(7)-2

p=14-2

p=12

Take the point (20,q)

q=2(20)-2

q=40-2

q=38

Therefore, The values of p and q are 12 and 38 when for the missing outputs y when the table is given with input and output.

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Answer:

y=10x-15

Step-by-step explanation:

Use slope-intercept form: y=mx+b

M is your slope and B is your Y intercept

since your Y-intercept is negative, and adding a negative is just subtracting, you can just put -15 instead of +-15

The line joining R and R' is perpendicular to the line m therefore, the slop  is the negative inverse of the slope of the line m which is (-1/2)

11. The point R is at located at R'(6, -1)

Perpendicular lines are oriented at 90° to each other.

11. The image of a point (x, y) following a reflection is located directly vertical on the other side of the line.

The image of (x, y) after a reflection across the x-axis is (x, -y), the x-coordinate remains the same such that the line joining (x, y) and (x, -y), is perpendicular to the x-axis, which is the line of reflection.

Similarly, when R is reflected across the line m to produce the image, R', the segment [tex]\overline{RR'}[/tex] joining the preimage and the image of the reflection, will be perpendicular to the line m.

The slope of the line perpendicular to the line m, y = 2·x - 3 is -(1/2) which is -0.5

The slope of the segment [tex]\overline{RR'}[/tex] is -0.5

11. The coordinates of the point R is R(-2, 3)

The known slope of the line joining R and R' and the coordinates of the point R(-2, 3) indicates that the equation of the line on which the image is located is therefore;

y - 3 = (-0.5) × (x - (-2)) = -0.5·x -  1

y = -0.5·x -  1 + 3 = -0.5·x + 2

The point of intersection of the two lines is therefore;

-0.5·x + 2 = 2·x - 3

2.5·x = 5

x = 5/2.5 = 2

y = 2×2 - 3 = 1

The point of intersection is I(2, 1)

The change in the x and y-coordinate from I to R are;

Δx = 2 - (-2) = + 4

Δy = 1 - 3 = -2

The change for point R' are therefore;

Δx' = (2 + 4) = 6

Δy' = 1 - 2 = -1

The coordinates for R' is (6, -1)

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Answer:

21

Step-by-step explanation:

Do long division of 378 and 18.
The result of the division will be 21.
There will be 21 seashells on reach row for the science display.

Each person will get to eat 4 pieces of hoagies.

Division in maths is the process of breaking a number up into equal parts, and finding out how many equal parts can be made.

Here, at the Stanley Cup Party Maddie and Tony, they bought 12 hoagies and cut in the thirds which results in 36 pieces of hoagies.

Since, 9 people come to the Stanley party and hoagies have 34 pieces.

So each person will get the following pieces of hoagies

36/9=4.

Therefore, each person at Stanley party will get 4 pieces of hoagies.

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If a sample consists of 1900 scores from sample no. 476th will be above the first quartile.

The three main methods for identifying the average value of a set of integers are mean, median, and mode.

Adding the numbers together and dividing the result by the total number of numbers in the list yields the arithmetic mean.

The middle value in a list that is arranged from smallest to greatest is called the median.

The value that appears the most frequently on the list is the mode.

Given a sample consisting of 1900 scores.

∴ The no. of samples that would be above quartile is the next sample from (1/4)th of 1900 which is,

= (1/4)×1900 + 1.

= 475 + 1.

= 476.

So from sample no. 476th will be above the first quartile.

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Answer:

$602.50

Step-by-step explanation:

The monthly rent is $1,050.00.

If Yadira pays 3/5 ths of the rent, then her friend will pay 2/5 ths of the rent:

[tex]\implies \sf \dfrac{2}{5}\;of\;1050=\dfrac{2}{5} \times 1050=420[/tex]

Therefore, Yadira's friend pays $420 for rent.

If the monthly utilities average is $365, Yadira's friend's portion of the utilities will be half of the total:

[tex]\implies \sf \dfrac{1}{2}\;of\;365=\dfrac{1}{2} \times 365=182.5[/tex]

Therefore, Yadira's friend pays $182.50 for utilities.

So the total amount Yadira's friend will pay each month is:

[tex]\implies \sf Rent + Utilities=420+182.50=602.50[/tex]

The person that has the winning time is Alex.

From the information given, three runners run 100 yards race. Sara runs the race in 9.25 seconds and Alex runs the race in 8.625 seconds and Tonya runs the race in 9.8 seconds.

It should be noted that in a race, the person that has the lowest time wins.

In this situation, the person with 8.625 seconds is the lowest.

Therefore, Alex wins.

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Line 1 and Line 2 are parallel because they have the same slope.

The equation of a line can be represented in slope intercept form as follows:

y = mx + b

Two lines are parallel if the slopes are the same.

The equation of line 1 is  y = 5x + 1

The slope of Line 1 is 5.

Let's find the slope of Line 2 using the equation.

2y - 10x + 3 = 0

Let's represent the equation in slope intercept form to locate the slope easily.

2y - 10x + 3 = 0

2y = 10x - 3

y = 10 / 2 x  - 3 / 2

y = 5x - 3 / 2

The slope of line 2 is 5

Therefore, Line 1 and Line 2 are parallel.

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The percentages are given as follows:

a) Failed, given that they completed the review: 15.38%.

b) Failed, given that they did not complete the review: 42.86%.

Considering these percentages, for item c, there is an inverse association between failing the exam and completing the exam review, as the percentage of those who failed completing the review is way less than the percentage of those who failed without completing the review.

A proportion represents a fraction relative to a total amount, and this fraction, which is used along basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.

A percentage is one example of application of proportions, as it is the division of the number of desired outcomes by the number of total outcomes and multiplied by 100%.

For item a, we have that:

Hence the percentage is:

p = 10/65 x 100% = 15.38%.

For item b, we have that:

Hence the percentage is:

p = 15/35 x 100% = 42.86%.

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