Write a linear equation to represent the line shown on the graph

Answer:

75 minutes

Step-by-step explanation:

Answer:

its 75 mins becaues

Step-by-step explanation:

i said so

Answer: between 4 and 9 is

4 *9=36=6

Answer:

The center of the circle is (1, 4), and the radius is 3 units.

Step-by-step explanation:

he equation (x-1)^2 + (y-4)^2 = 9 represents a circle with center (1, 4) and a radius of 3 units.

To graph the equation, plot the center point (1, 4) on a coordinate plane. Then, draw a circle around this point with a radius of 3 units. The circle should pass through points (4, 4), (1, 7), and (-2, 4) on the coordinate plane. The center of the circle is (1, 4), and the radius is 3 units.

Answer:

Step-by-step explanation:

We are given the equation:
\((x-1)^{2} +(y-4)^{2} =9\)

the baseline equation for a graph is:
(x-h)²+(y-k)²=r²

with (h,k) being the center, and r being the radius.

Given this, we can find out the center and radius:

center=(1,4) (tip: take the inverse h and k)

radius= 3 (tip: find the square root of r²)

See attachment for graphed circle:

To graph the equation, we need the center, (1,4) and the radius, 3.

First, plot the center on the graph.  The x value will be 1 and the y value will be 4.  Next, move 3 units out either up, down, left, or right to graph a point that falls on the circle.  This gives you the radius.  When done, you should have a circle that has a center, and a diameter of 6 units, and a radius of 3.  

Hope this helps! :)

Answer:

With Outlier:

Median: 85
Mean: 103
Mode: 85

Without Outlier:
Median: 85
Mean: 85
Mode: 85

Step-by-step explanation:

Basically order the numbers from least to greatest. Include the outlier to find the median, mean, and mode. The median is clear as day with the outlier, being the middlemost number: 77, 84, 85, 85, 88, 91, 211. To find the mean, just add all of the numbers together and then divide them by how many numbers there are. In this case, that'd be 7 and you get 103. The mode is simple as it's the number that repeats the most, which is basically 85 since it repeats twice in the set. After you find the median, mean, and mode with the outlier, now rewrite the numbers (still least to greatest) but excluding the outlier (211). It should now be 77, 84, 85, 85, 88, 91. For the median, our middlemost numbers are 85 and 85, so simply just add them together and then divide by two. This gets you 85 for the median. For the mean, simply just add the numbers in the new set excluding the outlier and divide by 6 since that's how many numbers we have in the set now. This gives you 85. The mode is the number most repeated, and that's still 85.

Trevarius' investment will grow exponentially due to the compounding effect of interest.

Compounded interest refers to the process of earning interest not only on the initial principal amount but also on the accumulated interest from previous periods.

This means that as time progresses, the interest earned becomes part of the new principal, resulting in a compounding effect.

In a linear growth scenario, the investment would grow at a constant rate over time, where the increase in value would be the same for each time period. However, in the case of compounded interest, the growth rate is not constant but rather increases over time due to the compounding effect.

As more interest is added to the principal, the subsequent interest calculations are based on a larger amount, resulting in a higher growth rate.

This compounding effect leads to exponential growth because the investment value increases at an accelerating rate over time.

Mathematically, the exponential growth of Trevarius' investment can be represented by the formula \(A = P(1 + r/n)^{(nt),\)

where A is the final amount, P is the principal, r is the interest rate, n is the number of compounding periods per year, and t is the number of years.

By continuously reinvesting the earned interest, Trevarius' investment will experience exponential growth, allowing his initial investment to grow significantly over time.

For similar question on investment.

https://brainly.com/question/29547577

#SPJ11

Answer:

1,000 milligrams.

Step-by-step explanation:

Multiply the number of grams (g) by 1,000 to get milligrams (mg).

Hope it helped!

a)     |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) A = 1/102

c) Marginal PDF fx(x) = (1/102) * x

Marginal PDF fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs)

d) P(0 < X < 2, 1) = 1.

a) To sketch the sample space, we need to consider the ranges of X and Y as defined in the problem statement: 0 < x < 1 and 0 < y < 2x. This means that X ranges from 0 to 1 and Y ranges from 0 to 2X. The sample space can be represented by a triangular region bounded by the lines Y = 0, X = 1, and Y = 2X.

       |\

       |  \

  Y  |    \

      |      \

     |         \

     | ____ \

         X

b) To find the value of A so that fx,y(x, y) is a valid joint PDF, we need to ensure that the joint PDF integrates to 1 over the entire sample space.

The joint PDF is given by fx,y(x, y) = A(48 + 3), where 0 < x < 1 and 0 < y < 2x.

To find A, we integrate the joint PDF over the sample space:

∫∫fx,y(x, y) dy dx = 1

∫∫A(48 + 3) dy dx = 1

A∫∫(48 + 3) dy dx = 1

A(48y + 3y)∣∣∣0∣∣2xdx = 1

A(96x + 6x)∣∣∣0∣∣1 = 1

A(96 + 6) = 1

102A = 1

A = 1/102

Therefore, A = 1/102.

c) To find the marginal PDFs fx(x) and fy(y), we integrate the joint PDF over the respective variables.

Marginal PDF fx(x):

fx(x) = ∫fy(x, y) dy

Since 0 < y < 2x, the integral limits for y are 0 to 2x.

fx(x) = ∫A(48 + 3) dy from 0 to 2x

fx(x) = A(48y + 3y)∣∣∣0∣∣2x

fx(x) = A(96x + 6x)

fx(x) = 102A * x

fx(x) = (1/102) * x

Marginal PDF fy(y):

fy(y) = ∫fx(x, y) dx

Since 0 < x < 1, the integral limits for x are 0 to 1.

fy(y) = ∫A(48 + 3) dx from 0 to 1

fy(y) = A(48x + 3x)∣∣∣0∣∣1

fy(y) = A(48 + 3)

fy(y) = A(51)

fy(y) = (51/102)

No, X and Y are not independent since their marginal PDFs fx(x) and fy(y) are not separable (i.e., they cannot be expressed as the product of individual PDFs).

d) To find P(0 < X < 2, 1), we need to integrate the joint PDF over the given range.

P(0 < X < 2, 1) = ∫∫fx,y(x, y) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = ∫∫A(48 + 3) dy dx over the region 0 < x < 2 and 0 < y < 1

P(0 < X < 2, 1) = A(48y + 3y)∣∣∣0∣∣1 dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(48 + 3) dx over the region 0 < x < 2

P(0 < X < 2, 1) = A(51x)∣∣∣0∣∣2

P(0 < X < 2, 1) = A(102)

P(0 < X < 2, 1) = (1/102)(102)

P(0 < X < 2, 1) = 1

Therefore, P(0 < X < 2, 1) = 1.

To know more about marginal distribution, visit the link : https://brainly.com/question/11203140

#SPJ11

Answer:

c is your answer to the question

Answer:

C

Step-by-step explanation:

negative four raised to the sixth power divided by negative four raised to the fourth power

because  negative four raised to the fourth power divided by negative four raised to the second power = negative four raised to the second power

negative four raised to the sixth power divided by negative four raised to the fourth power also = negative four raised to the second power

The answer is A: negative four raised to the second power divided by negative four raised to the fourth power. This is obtained by applying the rules of exponents, specifically, when dividing with the same base, subtract the exponents.

This question pertains to exponents division rules. According to the rule of Power of a Power in exponents, when you divide expressions with the same base, you subtract the exponents. So if you have negative four raised to the fourth power (-4⁴) and you want to divide it by negative four raised to the second power (-4²), you subtract 2 from 4 to get an exponent of 2. This results in a negative four raised to the second power (-4²). So, the correct option from the given choices in your question is A: negative four raised to the second power divided by negative four raised to the fourth power.

Learn more about Exponents here:

https://brainly.com/question/5497425

#SPJ2

Answer:

The additional length is 3 ft

The new length of the rectangle after the increase is 15 ft and the width 13 ft

Step-by-step explanation:

The area A of a rectangle is given as

A = L * B

where L is the length of the rectangle and B is the width

As such for a rectangle 10 ft by 12 ft, the area

= 10 * 12

= 120 sq ft

If this is increased by 75 sq ft, the new area becomes

= 120 + 75

= 195 sq ft

If the length and the width are to be increased by the same amount, let this amount be x then the new length will be 12 + x and width 10 + x such that

(12 + x)(10 + x ) = 195

expand

x² + 22x + 120 =  195

x² + 22x +120 - 195 = 0

x² + 22x - 75 = 0

x² +25x -3x - 75 = 0

x(x +25) -3(x + 25) = 0

(x + 25) (x- 3) = 0

x = -25 or 3

since the additional length cannot be negative, it is 3ft.

As such the new length

= 3 + 12 = 15 ft

the new width

= 10 + 3

= 13 ft

A characteristic of the classical approach to probability include the following: D. probabilities assume outcomes of an experiment are equally likely.

In Science, an experiment is a scientific investigation which typically involves the process of manipulating an independent variable (the cause), in order to determine or measure the dependent variable (the effect).

In Mathematics and statistics, an expected value is sometimes referred to as the long-term mean (average) of a discrete random variable, E(X) and it can be calculated by taking the weighted average of all the outcomes of the discrete random variable with respect to their probabilities.

In this context, we can logically deduce that a characteristic of the classical approach to probability is that most times probabilities assume outcomes (results) of an experiment are equally likely.

Read more on experiments here: brainly.com/question/29767531

#SPJ1

The amount of ml required for the 1500mg order is 2.1ml

Conversion factors are used to convert units from one form to another.

Using the conversion factor

2.2g = 2200mg

x = 1500mg

Find the ratio of the expressions

2.2/x = 2200/1500
2200x = 2.2 * 1500
2200x = 3300
X = 3300/2200
x = 1.5grams

Since the dosage is 2.2 g/3 ml, then for 1.5grams

Volume required = 1.5*3/2.2
Volume required = 2.1 ml

Hence the amount of ml required for the 1500mg order is 2.1ml

Learn more on conversion here: https://brainly.com/question/97386

The dimensions of the poster with the smallest area are = 64cm X 56cm where Width of the poster is 64 and Height of the poster is 56.

In order to establish a condition equation that represents the printed area's width (w) in terms of its height (h), we must first use what we know about the printed area.

Ap(w,h)=wh                   [Printed area]

Ap(w,h)=wh                  [ Substitute Ap(w,h)=1536]

1536=wh

w=1536h                      [width  ''w''  in terms of height ''h'' ]

The smallest surface area must be determined. We need to find out the area as a function of the variable h using the condition equation.

W=w+16                                              [ Width  of the rectangular poster ]

H=h+24                                                 [ Height  of the rectangular poster ]

Ar(w,h)=(w+16)(h+24)                        [Area of the rectangular poster ]

Ar(w,h)=(w+16)(h+24)

Put the value of W in terms of ‘h’ that we got above.

Ar(w)=(1536h+16)(h+24)

Ar(w)=36864h+16h+1920

Ar(w)=36864/w+16w+1920           (objective function)

Determine the domain of objective function

D={w∈R:w>0}                           [Domain of the Objective area function]

Ar(w)=36864/w+16w+1920

A′r(w)=−36864w2+16              [First derivative of the Objective area function]

A′r(w)=0                                     [critical point condition]

−36864/w2+16=0

16=36864/w2

w2=36864/16

w2=2304

w=±48

w=−48                       [w=−48∉D]

w=48                         [w=48∈D]

w=48                        [Critical point of the Objective area function ]

Applying sufficient condition for extremes (Second derivative test)

A′r(w)=−36864/w2+16

A′′r(w)=73728/w3[Second derivative of the Objective area function]

A′′r(48)=0.6                     [A′′r(48)>0]

w=48                                [Minimum point of the Objective area function ]

Calculate the dimensions of the rectangular poster with minimum area

w=48 Width of the print area

h=1536/48=32           (Height of the print area)

W=48+16=64             (Width of the rectangular poster)

H=32+24=56             (Height of the rectangular poster)

The dimensions of the poster with the smallest area are: ⟹64cm×56cm

To know more about dimensions, click here :

https://brainly.com/question/27107415

#SPJ4

As per the given 4 x 5 matrix, the reduced row echelon form of A is \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

The term matrix in math refers a set of numbers arranged in rows and columns so as to form a rectangular array.

Here we have the 4 x 5 matrix.

And here we also know that a1,a2,a4 are linearly independent and the value of a3=a1+2a² and a5=2a1-a²+3a⁴.

Now, we have to apply the value of

a1 = 1, a2 = 0, a3 = 0, a4 = 0, a5 = 1, a6 = 0, a7 = 0, a8 = 0, and a9 = 1.

Then we get the matrix of 3 x 3 looks like the following,

\(\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\)

Now, we have to do the following steps in order to get the reduced row echelon form of A,

The first and foremost steps is to take the non-zero number in the first row is the number 1.

Then we have to place any non-zero rows are placed at the bottom of the matrix.

This steps are repeated until the final row becomes zero.

Then we get the resulting matrix as \(\left[\begin{array}{ccc}1&2&0\\0&0&1\\0&0&0\end{array}\right]\)

To know more about Matrix here.

https://brainly.com/question/28180105

#SPJ4

The error made in subtracting the two rational expressions 1/(x - 2) - 1/x is that the common denominator is not correctly identified and applied.

To subtract rational expressions, we need to find a common denominator and then subtract the numerators. In this case, the common denominator should be (x - 2) * x. However, the error lies in neglecting the parentheses in the first expression, leading to a miscalculation of the common denominator.

The correct subtraction of the given expressions should be: (x - 2)/(x - 2) - 1/(x * (x - 2)). Simplifying this expression further would result in (x - 2 - 1)/(x * (x - 2)), which can be simplified as (x - 3)/(x * (x - 2)).

Therefore, the error made in the subtraction lies in incorrectly identifying and applying the common denominator, which resulted in an inaccurate calculation of the expression.

Learn more about rational expressions here: brainly.com/question/17134322
#SPJ11

Answer:

y=2/3x+5

Step-by-step explanation:

Answer:

\(10100\)

Step-by-step explanation:

Use this formula,

\( \frac{n}{2} (2 {a} + d(n - 1)\)

where n is the amount of even intergers, a is the starting term, d is the common difference.

\( \frac{100}{2} (4 + 2(99)\)

\(50(4 + 198)\)

\(50(202)\)

\(10100\)

Answer:

7.639

Step-by-step explanation:

7.639 rounds to 7.64 which is the closest on I could find to 7.62.

Answer:

 I think the answer is 7.636

Step-by-step explanation:

Answer:

\(a_n=a_{n-1}+8,n\geq 1\)

\(a_1=-11\)

Step-by-step explanation:

We are given that a sequence

-11,-3,5,13,...

\(a=a_1=-11\)

\(a_2=-3\)

\(a_3=5\)

\(a_2-a_1=-3-(-11)=-3+11=8\)

\(a_3-a_2=5-(-3)=5+3\)

\(a_3-a_2=8\)

Common difference between two consecutive terms is equal.

Hence, the sequence is Arithmetic.

Common difference, d=8

\(a_2=a_1+8=-3\)

\(a_3=a_2+8=5\)

\(a_4=a_3+8=13\)

:

:

:

\(a_n=a_{n-1}+8, n\geq 1\)

\(a_1=-11\)

Answer:

4≤x same as x ≥ 4

Step-by-step explanation:

First you need to apply the distributive property.

That means 2 times -3 and positive 5

The inequality should look like this:

-6+10+2≥-4(x-2)-3

You should then do the same but on the other side keeping the -6+10+2 the same and undisturbed

Should look like this:

-6+10+2≥-4x+8-3

After, solve all of it

Should be simplified to this:
6 ≥ -4x+5

Now subtract 5 from both sides

6-5 ≥ -4x

1 ≥ -4x

Since we are dividing the inequality rule said that we shall flip the sign if dividing or multiplying by a negative number.  

So the answer should look like this:

x ≥ 4

The volume of the box will be 3136 cu. inches and the largest volume the box can be made of is also the same.

The amount of space occupied by a three-dimensional object as measured in cubic units.

The given square after getting folded turns into a box of 28*28*4 inches. The volume of the box can be determined by using the formula of volume of the cuboid.

Volume of the cuboid = 28*28*4

Volume of the cuboid  =3136 cu. inches

The largest volume that the box can have is 3136 cu. inches as when increasing the height, the length or the width will decrease and so does the volume.

To know more about Volume of the cuboid, here

brainly.com/question/1549540

#SPJ4

x = ㏑₂8 in the logarithmic function.

A logarithmic function is the inverse of an exponential function.

Given  function if f(x) = \(2^{x}\),

When strength is equal to 8 pascals, f(x) = 8

Therefore, 8 = \(2^{x}\)

Taking log on both sides:

                 ln8 = ln\(2^{x}\)

                 ln8 = xln2

       or         x  = ln8/ln2

                    x = ㏑₂8

Hence, the required function is x = ㏑₂8.

To learn more about logarithmic functions visit:

https://brainly.com/question/10042160

#SPJ1

5cm

Step-by-step explanation:

volume of cube= l³

125 =l³

3root over 125 =l

l = 5

Answer:

So the length of the edge of a cube with a volume of 125 is 5.

Step-by-step explanation:

Let x be the number of sunflowers in each row.

Mark planted a total of 72 sunflowers. Since the sunflowers are planted in equal rows.

The equation we get,

x × 2x =72

simplifying the eq.

2x² =72

divide the eq. By

x² = 36

Now take the square root both the side we get

x= 6

therefore, Mark planted 6 sunflowers in each row.

The value of x is 40 degree and y is 105 degree.

Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.

2x - 5 + 75=180

2x+70=180

x= 110/2

x= 55 degree.

Now, y=  2x-5 = 2(55)-5 = 110- 5 = 105  (Vertically opposite angle)

Hence, the value of x is 40 degree and y is 105 degree.

Learn more about linear pair here:

https://brainly.com/question/17525542

#SPJ1

Step-by-step explanation:

25 cents = $0.25

the ratio is 5/0.25 (5 dates for $0.25)

now we need to convert this to $5 in the denominator. and we need to multiply the numerator with the same factor.

and then the numerator will tell us how many dates we get for $5 in the denominator.

0.25 × x = 5

x = 5/0.25 = 20

indeed, 20 quarters = $5

so, we do

5/0.25 × 20/20 = 100/5

that means we can buy 100 dates for $5.

As per the given question the area of the shaded sector of the circle is \((17/18)\pi (81 / (4 (sin(10))^2)).\)

A circles is a point's location in a plane where its separation from a fixed location is constant at all times. The circle's stationary point is referred to as its centre, and the space between it and the movable point is referred to as its radius.

To find the area of the shaded sector, we need to use the formula:

\(A = (θ/360)\pi r^2\)

where A is the area of the sector, θ is the central angle of the sector, and r is the radius of the circle.

First, we need to find the radius of the circle. We can do this by using the fact that UV is a chord of the circle:

Let O be the center of the circle, then OU = OV = r (since they are radii of the circle).

Using the fact that VUW is an isosceles triangle, we can find UW:

\(m < VUW = 180 - m < UVW - m < UWV = 180 - 160 - (1/2)m < UVO\)

⊅⊅\(m < UVO = 2(1/2)m < UVO = m < UVW = 160 degrees\)

Therefore,\(m < UWO = (1/2)(360 - m < UVO - m < UVW) = 10 degrees\)

Now, in right triangle VWO, we have:

\(sin(10) = UW / (2r)\)

\(UW = 2r sin(10)\)

But UW = UV = 9, so we have:

2r sin(10) = 9

r = 9 / (2 sin(10))

Now we can find the area of the sector:

θ = m<UVO = 360 - 2m<UWO = 340 degrees

\(A = (340/360)\pi (9 / (2 sin(10)))^2\)

\(A = (17/18)\pi (81 / (4 sin^2(10)))\)

\(A = (17/18)\pi (81 / (4 (sin(10))^2))\)

Therefore, the area of the shaded sector of the circle is\((17/18)\pi (81 / (4 (sin(10))^2)).\)

To know more about circles visit:

brainly.com/question/12374325

#SPJ1

Answer:

a) 30.24%

b) 15.12%

c) 0.09%

Step-by-step explanation:

a) 5 digit zip code with no repeated digits

Firstly, there are 10 digits. After each digit in the zip code, one is used up.

The total number of zip codes possible is 10^5, or 100,000

The number of zip codes with no repeated digits can be found with:

(10-0)*(10-1)*(10-2)*(10-3)*(10-4)

which equals

10 * 9 * 8 * 7 * 6 = 30240

30240 divided by 100,000 is 0.3024

b) same process, but the numbers used are only 1-9.

(9-0)*(9-1)*(9-2)*(9-3)*(9-4) = 9 * 8 * 7 * 6 * 5 = 15120

15120 divided by 100,000 is 0.1512

c) back to using 1-10, but with a 1/10 chance for three digits

(10-0)*(10-1)*(1)*(1)*(1) = 8 * 9 = 90

90 divided by 100,000 is 0.0009

The probability of a 5-digit zipcode having no repeated digits is 0.3024, no 0's is 0.59049, and exactly two 1's and two 3's is 0.0012.

The probability of a 5-digit zipcode having no repeated digits, no 0's, and exactly two 1's and two 3's can be calculated using the formula for probability, which is P(event) = a number of favorable outcomes/number of possible outcomes.

(a) No repeated digits:

The number of favorable outcomes is 10*9*8*7*6 since there are 10 choices for the first digit, 9 for the second, 8 for the third, 7 for the fourth, and 6 for the fifth.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (10*9*8*7*6)/(10^5) = 0.3024.

(b) No 0's:

The number of favorable outcomes is 9*9*9*9*9 since there are 9 choices for each of the 5 digits (excluding 0).

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (9^5)/(10^5) = 0.59049.

(c) Exactly two 1's and two 3's:

The number of favorable outcomes is 5*4*3*2*1 since there are 5 choices for the first 1, 4 for the second 1, 3 for the first 3, 2 for the second 3, and 1 for the remaining digit.

The number of possible outcomes is 10^5 since there are 10 choices for each of the 5 digits. Therefore, the probability is (5*4*3*2*1)/(10^5) = 0.0012.

Therefore, the probability is 0.0012.

To know more about the probability  refer here:

https://brainly.com/question/30034780#

#SPJ11