Convert the decimal 0.83 to a fraction, and classify it as either rational or irrational

Answer:

2nd option

Step-by-step explanation:

there is no need to make a like of best fit because the x axis is already acting as one.

Answer:

Complete the statements about the system of linear equations represented by the tables.

The equation representing the left table is

✔ y = 1.5x – 6

The equation representing the right table is

✔ y = –4x + 6.1

The solution to the system of equations is

✔ (2.2, –2.7)

The statements  about the system of linear equations represented by the tables should be described below:

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Answer:

d) symmetry

Step-by-step explanation:

a p exxc

Answer:

62.363°

Step-by-step explanation:

The decimal form of degree is 62.363°.

Geographic coordinates for latitude and longitude can be expressed as decimal fractions of a degree using the notation decimal degrees (DD). Many geographic information systems (GIS), web mapping tools like OpenStreetMap, and GPS units all employ DD.

Latitudes that are positive are north of the equator and those that are negative are south of the equator. Longitudes that are positive are east of the Prime Meridian and those that are negative are west of the Prime Meridian.

Given 62°21'47"

A DMS value is converted to decimal degrees using the formula:

[tex]{\displaystyle \mathrm {D} _{\text{dec}}=\mathrm {D} +{\frac {\mathrm {M} }{60}}+{\frac {\mathrm {S} }{3600}}}[/tex]

D = 62°

M = 21'

S = 47"

substitute the values,

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 21/60 + 47/3600

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62 + 0.35 + 0.01305

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.3630

[tex]{\displaystyle \mathrm {D} _{\text{dec}}[/tex] = 62.363°

Hence the decimal form is 62.363°.

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Answer:

3/10

Step-by-step explanation:

Slope = y2 - y1/x2 - x1

-3 + 6/2 +8

3/10

To find the slope of this line, I will show you the graphing method.

To find the slope of the line using the graphing method, we first set up a coordinate system like I have done for you below.

Next, we plot our two points.

Start by plotting (-8, -6) which we label point A and (2, -3) which

we label point B and we graph our line through the two points.

Next, remember that the slope or m is equal

to the rise/run from point A to point B.

To get from point A to point B, we rise 3 units and run 10 units.

So our slope or rise/run is 3/10.

Answer:

46°

90°

Step-by-step explanation:

In a rhombus, diagonals are perpendicular,

so angle 1= 90°

sum of angles of a triangle= 180°, sum of non-right angles of right triangle is 90°

angle 2= 90° -44°= 46°

Answer:

<1 = 90

<2 = 46

Step-by-step explanation:

When the diagonals intersect, the intersect at a 90 degree angle, so <1 = 90 degrees

<1 + <2 + 44 form a triangle, so they add to 180 degrees

<1 + <2 + 44 = 180

90 + <2 + 44 =180

Combine like terms

134+<2 = 180

Subtract 134

<2 = 180-134

<2 = 46

Answer:

50 = 6 notes

20 = 10 notes

10 = 9 notes

Step-by-step explanation:

to check whether it is correct :

50×6 + 20×10 + 10×9 = 590 (total money of Shruti)

Answer:

What does this mean

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

It is given that a triangle has side lengths 60 inches, 144 inches, 156 inches.

According to the Pythagoras theorem, in a right angle triangle

[tex]hypotenuse^2=perpendicular^2+base^2[/tex]

It means in a right angle triangle, square of largest side is equal to the sum of square of two smaller sides.

In the given triangle two smaller sides are 60 inches and 144 inches.

[tex](60)^2+(144)^2=3600+20736=24336[/tex]

The largest side is 156 inches.

[tex](156)^2=24336[/tex]

Since [tex](60)^2+(144)^2=(156)^2[/tex], so by Pythagoras theorem the given triangle is a right angle triangle.

Therefore, the correct option is D.

Answer:

D. This triangle is a right triangle: 60 squared + 144 squared = 156 squared.

(I'm so sorry if t's wrong)

Hope this Helps!

Answer:

12.12%

Step-by-step explanation:

ORIGINAL VALUE=£99

NEW VALUE=£111

CHANGE IN AMOUNT=111-99=12

Here there is percentage increase.

Therefore, Percentage Increase

=(Change in amount/Original Value)*100=(12/99)*100=12.12%

Answer:

The median is usually preferred in these situations because the value of the mean can be distorted by the outliers. However, it will depend on how influential the outliers are. If they do not significantly distort the mean, using the mean as the measure of central tendency will usually be preferred.

Answer:

C. When the sample size is large and includes outliers.

Step-by-step explanation:

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Answer:

Step-by-step explanation:

-3.25a+4a=2-5

0.75a=-3

a = -4

Tell me if its right

Answer:

(6, 2)

Step-by-step explanation:

Step 1: Use substitution

x - 4 = 1/3x

Step 2: Isolate x

2/3x = 4

x = 6

Step 3: Plug back into original equation(s)

y = 6 - 4

y = 2

Answer:

(6,2)

Step-by-step explanation:

Let's use the substitution method.

x-4=1/3x

3x-12=x

3x=x+12

2x=12

x=6

y=6-4

y=2

Answer:

negative

Step-by-step explanation:

there are no real roots so the discrimint must be negative

The discriminant of a function describes the roots of a function, and it is negative for the given function.

From the given function, we can see that the function do not have any x-intercept; i.e. the graph do not cross the x-axis.

This means that, the function has no real root, and as such the discriminant must be negative.

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Answer:

A. = 20 in²

B. =  45 ft²

C. = 29.5 ft²

D. = 36 ft²

E. = 28 ft²

Step-by-step explanation:

A. Formula = A = (h_b b)/2 = base 10 ft height_b= 4ft = 20 ft²

B. We have a rectagnle and a triangle:  Formula: A = lw

=  A = 30 ft² and now the triangle with the same formula as above: A = 15 ft²

30 ft²+15 ft² = 45 ft²

C. we have 2 rectagnle and a triangle: First the small recangle: A= lw = A = 1ft x 2ft = 2ft²

Second rectangle: 5 ft x 4 ft = 20 ft²

Right angeled triangle Formula: (ab)/2 = 3 ft x 5 ft = 7.5 ft²

Add it all together:  2ft²+20ft²+7.5ft² = 29.5 ft²

D. is a rectangle and a triangle: 8 ft x 3 ft = 24ft²

the triangle 8 ft x 2ft = 12 ft²; add 24 ft²+12 ft² = 36ft²

E. is a right-angled triangle (see fromula above) =  (14 ft x 4 ft)/2 = 28ft²

Answer

100 pie m^2

Step-by-step explanation:

Answer:

[tex]100 \pi \: m^2[/tex]

Step-by-step explanation:

The area of a circle is [tex]\pi r^2[/tex].

The diameter is 20m, the radius is half of the diameter, so the radius will be 10m.

[tex]\pi \times 10^2[/tex]

[tex]\pi \times 100[/tex]

The area should be in terms of [tex]\pi[/tex], so the final answer will be:

[tex]100 \pi \: m^2[/tex]

Answer:

D =275 miles

Step-by-step explanation:

The rate is 55 miles per hour and the time is 5 hours

D = RT

D = 55*5

D =275 miles

Answer:

C. 275 miles

Step-by-step explanation:

D = RT

We have R and T already, so

Step 1: Replace variables

D = (55mph)(5 hours)

Step 2: Solve

D = 275 miles

And we have our answer!

Answer:

B and E are the correct answers.

Step-by-step explanation:

By using the slope formula of y₂₋y₁ / x₂₋x₁ you can find out that the slope is ₋7/4.

Next pick a point to put into point-slope form.

Point-slope form is y₋y₁ = m(x₋x₁) where y₁ and x₁ are a point on the graph and m is the slope.

Substitute both points into the formula (separately) to get B and E as your answers.

Hope this helps!

Answer:

Option (1)

Step-by-step explanation:

x               -2              -1                 0                    1                   2

y               10            2.5                0                  2.5                3.0

Ist difference,

[tex]d_1=y_2-y_1[/tex]

    [tex]=2.5-10=-7.5[/tex]

[tex]d_2=y_3-y_2[/tex]

    [tex]=0-2.5[/tex]

    = -2.5

[tex]d_3=y_4-y_3[/tex]

    [tex]=2.5-0[/tex]

    = 2.5

[tex]d_4=y_5-y_4[/tex]

    [tex]=10.0-2.5[/tex]

    = 7.5

2nd difference,

[tex]x_1=d_2-d_1[/tex]

    [tex]=-2.5+7.5[/tex]

    = 5

[tex]x_2=d_3-d_2[/tex]

    [tex]=2.5+2.5[/tex]

    = 5

[tex]x_3=d_4-d_3[/tex]

    [tex]=7.5-2.5[/tex]

    = 5

Since 2nd difference is common, given table represents a quadratic equation.

Let the equation is,

y = ax²+ bx + c

For a point (0, 0) passing through the quadratic equation,

0 = c

Therefore, quadratic equation is y = ax² + bx

Since ordered pair (-1, 2.5) passes through the graph of the function,

2.5 = a(-1)² + b(-1)

a - b = 2.5 ------(1)

For another point (1, 2.5)

2.5 = a(1)² + b(1)

a + b = 2.5 ------(2)

By adding equations (1) and (2),

2a = 5

a = 2.5

and from equation (2)→ y = 0

Therefore, equation of the quadratic function given in the table is y = 2.5x²

Option (1) is the answer.

The proportion of water, sugar, and saline solution is given as 1000:199:47.

A ratio is defined as a relationship between two quantities, it is expressed as one divided by the other

To express the amounts of water, sucrose, and saline solution as a ratio, we can use the formula:

(amount of water):(amount of sucrose):(amount of saline solution)

For every 1 litre of water used, 199ml of sucrose is used, which is equal to 199/1000 = 0.199 litres of sucrose.

Similarly, for every 1 litre of water used, 47ml of saline solution is used, which is equal to 47/1000 = 0.047 litres of saline solution.

Therefore, the ratio of the amounts of water, sucrose, and saline solution can be expressed as:

1:0.199:0.047

To simplify this ratio, we can divide each value by the greatest common divisor (GCD) of the three values, which is 1. The simplified ratio is:

1000:199:47

This is the simplest form of the ratio.

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Answer:

Standard deviation  for the number of people with the genetic mutation = 4.178

Step-by-step explanation:

Explanation:-

Given random sample size 'n' =600

proportion of the Population 'p'=3% or  0.03

Let 'X' be the random variable in binomial distribution

Mean of the  binomial distribution

                              μ = n p

                                 = 600 X 0.03

                                = 18

Mean of the  binomial distribution ' μ ' =18

Standard deviation of the binomial distribution

                                σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]

Conclusion:-

Standard deviation  for the number of people with the genetic mutation = 4.178

Answer:

Solution,

a=14

b=29

c=1

D=1

Now,

[tex]a + b - c - d \\ = 14 + 29 - 1 - 1 \\ = 43 - 1 - 1 \\ =42 - 1 \\ = 41[/tex]

hope this helps...

Good luck on your assignment...

Answer:

5, 13, 10, 8

Step-by-step explanation:

hello, so for this question keep in mind the triangle inequality theorem which states- a side must be smaller than the sum of the other two sides.

go through each of the choices.

a. 5+7=12 12>9

b.2+7=9 9>9 this cant be the answer since 9 is equal to nine, not greater than,

c. 13+7=20 20>9

d.10+7=17 17>9

e.8+7=15 15>9

f.22+7=29 29>9 although 29 is greater than 9, we also have to keep in mind that the other 2 sides must also be greater than the other side. so try 7+9= 16. 16 isnt greater than 22 so it can’t be one of the answers.

hope this helped :)

Answer:

[tex]x>z\\z>y[/tex]

Step-by-step explanation:

[tex]x[/tex] is greater than [tex]z[/tex].

[tex]z[/tex] is greater than [tex]y[/tex].

Step-by-step explanation:

because we know that both of these parts have to do with right triangles, we know that we can use the Pythagorean theorem.

since q is the right angle, you know that any line segment with q is a leg of the triangle

A.)

a^2 + b^2 = c^2 (add in values)

8^2 + 15^2 = c^2  (a=pq and b=qr) SIMPLIFY

64 + 225 = 289 (add)

find the square root of 289 = 17 so pr = 17

B.

This time we are using one leg (pq) and the hypotenuse (pr) to find the other leg

a^2 + b^2 = c^2 (sub the numbers in)

a^2 + 8^2 = 10^2 (simplify)

a^2 + 64 = 100 (subtract 64 on both sides)

a^2 = 36

the square root of 36 is 6 so qr = 6

Answer:

1/2

Step-by-step explanation:

3/4-5/16

Taking LCM

3✖️4/4✖️4-5/16

12/16-4/16

8/16

1/2

I hope this will help you

Answer:25000 because 1 m is equal to 1000mm

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Answer:

The classification are as follows;

1) Robert's older brother Howard has been working as an electrician for the last year

2) Robert's younger sister Amelia recently obtained her driver's licence and has already been at fault for a car accident

3) Robert exercises regularly makes good grades in school, and eats healthy food

4) Robert's uncle goes scuba diving each summer and enjoys snowboarding in the winter

5) Robert's mother enjoys scrap-booking and making quilts in her spare time

6) Robert's grandfather, Eugene, recently celebrated his 82nd birthday

Step-by-step explanation:

1) The statements are analyzed as follows;

Robert's older brother Howard has been working as an electrician for the last year

One of the four types of insurance cover that everyone needs is the long-term disability coverage, more so for Howard who is working as an electrician as 30% of new entrants into the workforce will become disabled

2) Robert's younger sister Amelia recently obtained her driver's licence and has already been at fault for a car accident

Given the likelihood of an accident occurring and the (unexpected) cost of being involved in an accident having an auto insurance will help with the expenses and protect the insurance holder against the possible litigation that results from being involved in the accident

3) Robert exercises regularly makes good grades in school, and eats healthy food

Given that Robert is a physically fit good student that eats a healthy diet, there are few potential for losses due to Robert's current status or activities, therefore, his activities does not affect insurance needs

4) Robert's uncle goes scuba diving each summer and enjoys snowboarding in the winter

Given the physical nature of Robert's uncle's activity, an accident insurance is needed which in the event of an injury, will help in taking care of the expenses so as to increase the insurance holder's peace of mind

5) Robert's mother enjoys scrap-booking and making quilts in her spare time

The activities of Robert's mother are less injury prone such that they do not affect her insurance needs

6) Robert's grandfather, Eugene, recently celebrated his 82nd birthday

Due to the age status of Robert's grandfather, it will be prudent for there to be consideration for the provision for the people that Robert's grandfather will leave behind such as mortgage payments, loans that are outstanding and possible university tuition costs that may come up in the future as well as funeral costs and daily living expenses of loved ones left behind

Therefore, there is an increased insurance need due to age status

Answer:

Step-by-step explanation:

Answer:

y° = 110°

z° = 26°

Step-by-step explanation:

Looking at the above geometry, we have two parallel lines , m and m

We have been asked to solve for y° and z°

Step 1

We solve for y°

On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES

It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°

Hence,

70° + y° = 180°

y° = 180° - 70°

y° = 110°

Step 2

Solve for z°

Looking at the geometric diagram we can see that

y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES

This means

y° = (6z - 46) °

In step 1 , we have already solved for y°

y° = 110°

Hence,

110° = (6z - 46) °

110° = 6z° - 46°

collect like terms

110° + 46° = 6z°

156° = 6z°

Divide both sides by 6

156°/6 = z°

z° = 26°

Therefore, the value y = 110° and the value of z = 26°