Simplify each expression by rationalizing the denominator.
2 / √2

Answer:

D. 2 × 3​

Step-by-step explanation:

Let's take the prime factorization of 30 and 42

30: 2*15=2*3*5

42: 2*21=2*3*7

Notice any common factors?

GCF: 2*3=6

GCF: 6

A circle is a curve sketched out by a point moving in a plane. The radius, diameter, and circumference of the circle are 11.4 ft, 22.8 ft, and 71.6283 ft, respectively.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

Given that radius of the circle is 11 2/5 ft. Therefore, the radius of the circle in a simplified way can be written as,

The radius of the circle = 11 2/5 ft

                                       = (11×5 + 2)/5 ft

                                       = (55 + 2)/5 ft

                                       = 57/5 ft

Now, the diameter and the circumference of the circle can be written as,

Diameter of circle = 2 × (Radius of the circle)

                              = 2 × 57/5 ft

                              = 114/5 ft

Circumference of circle = 2 × π × (Radius of the circle)

                                        = 2 × π × 57/5 ft

                                        = (114/5)π ft

Hence, the radius, diameter, and circumference of the circle are 57/5 ft, 114/5 ft, and (114/5)π ft, respectively.

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Answer:

a o espero que te ayude me piedes dar corona

Using linear function concepts, it is found that since the two lines have the same slope, they are parallel.

A linear function is modeled by:

y = mx + b

In which:

When two lines are parallel, they have the same slope.

The first road goes through points (0, 16) and (20,0), hence the slope is:

m = (0 - 16)/(20 - 0) = -0.8.

The second road goes through points (0,8) and (10,0), hence the slope is:

m = (0 - 8)/(10 - 0) = -0.8.

Since the two lines have the same slope, they are parallel.

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The point of intersection of the lines would be (19/20, 3/20) which are the lines y=2x-7/4 and y = 3 - 3x intersect each other.

To determine exactly where the lines y = 2x-7/4 and y = 3 - 3x intersect.

We need to find where both lines are intersect,

Thus, we would be required to equate them

⇒ 2x - 7/4 = 3 - 3x

Rearrange the likewise terms in the above equation,

⇒ 2x + 3x  = 3 + 7/4

Apply the addition operation, and we get

⇒ 5x  = 19/4

⇒ x  = 19/(4)(5)

⇒ x  = 19/20

Substitute the value of x  = 19/20 in the equation y = 3 - 3x, we get

⇒ y = 3 - 3(19/20)

⇒ y = 3 - 57/20

⇒ y = 3/20

Therefore, the point of intersection of the lines would be (19/20, 3/20)

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After solving the equation, y = 20x is the value of y in (3/4)y=15 x

⇒ (3/4)y=15 x

⇒ y = 15x/(3/4)

⇒ y = 20x

To solve Linear equations, utilize the steps that are provided below.

Lets take an example of solve z for 7z – (3z – 4) = 12

Here is no multiplication or division, so this will be easy to solve

⇒ 7z – (3z – 4) = 12

⇒ 7z – 3z + 4 = 12

⇒ 4z = 12 – 4

⇒ 4z = 8

⇒ z = 8/4

⇒ z = 2

See, that was so simple, using the mentioned methods, every linear equation can be solved easily.

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Answer: x=+9

Step-by-step explanation:

18=3x-9    18-(3x-9)=0    3x+9+18=0    -3x+27=0

-3x=-27

x=-27/-3

x=+9

Hope this helps! :) Have a great day!  ^-^

Answer:

x=3

Step-by-step explanation:

18-3x=9

-18    -18      Subtract 18 from both sides of the equation to leave 3x by itself.

3x=9

/     /

3    3           Divide both sides by 3 to isolate x.

x=3   Final answer.

Answer:

Step-by-step explanation:

If you are to check carefully you will find that the two angles are lying on a straight line of which is 180°

mathematically

[tex](2t-4)+(5t+2)=180\\2t+5t-4+2=180\\7t-2=180\\7t=180+2\\7t=182\\\frac{7t}{7} =\frac{182}{7} \\t=26[/tex]

Answer: 2 to 7

Step-by-step explanation:

divide both by three, it's the greatest common factor

Using proportions, the costs are given as follows:

a) Total Labor Cost: $806,400.

b) Total Product Cost: $225,000.

c) Total Cost = $1,031,400.

d) Cost per home = $137.85.

e) Cost per week = $85,950.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

For item a, the labor cost is found using the earnings of the workers, as follows:

12 weeks x 6 days x 10 hours x (12 laborers x 65 per hour + 4 supervisors x 85 per hour).

Hence:

L = 12 x 6 x 10 x (12 x 65 + 4 x 85) = $806,400.

For item b, the product cost is the cost of the turf, hence:

15 pieces x $15,000 per piece

15 x 15,000 = $225,000.

For item c, the total cost is the sum of the product cost and the labor cost, hence:

Total Cost = 806,400 + 225,000 = $1,031,400.

For item d, the cost per home is found dividing the total cost by the 7,482 homes, hence:

Cost per home = 1031400/7482 = $137.85.

For item e, the cost per week is found dividing the total cost by the 12 weeks, hence:

Cost per week = 1031400/12= $85,950.

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Answer:

268.571429

Step-by-step explanation:

Answer/Step-by-step explanation:

-4r - 7 + 10r = -7 + 6r

6r - 7 = -7 + 6r

    +7    +7

6r = 6r

This equation is true

All real numbers (-∞, ∞)

I hope this helps!

Finding the value of any term in a given sequence is known as an arithmetic sequence if each term in the sequence is equidistant from the terms before and after. To find any term in a sequence, we first have to find the pattern of the sequence. Then we can multiply the distance between any two terms by one less than the number of terms we are looking for. Adding this to the first term gives you the term you want.

Here the first term a=2,

Common difference d=4-2=2

We know that,

f(n)=a+(n-1) d

f (10) =2+(10-1) (2)

=2+(18)

=20

We know that,

Sn=n2[2a+(n-1) d]

∴S10=102⋅ [2(2) +(10-1) (2)]

=5⋅ [4+(18)]

=5⋅ [22]

=110

Hence, the 10th term of the given series is 20, and the sum of the first 10th term is 110.

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Answer:

D (he got 85% right which is more than 75%)

Step-by-step explanation:

because if you half 6/40 you get 3/20, now if you x by 5 you get 100 so do the same to the top (3x5 = 15)

Now you know that he got 15/100 = 15% wrong

so if you do 100 - 15 you get 85, so he got 85% right

85% is greater than 75% so therefore it is option D

hope this helps :)

Step-by-step explanation:

1. S

since PS = SQ, S must be exactly in the middle.

2. NQ = 3×PS = 3×3 = 9 cm

we see, NP = PS = SQ. so, NQ = NP + PS + SQ = e.q. 3×PS

3.

not sure what your teacher means.

line segment

line

NPS (as alternative to just NS)

4.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

6.

NS is congruent to PQ.

7.

similar to 3.

line segment

line

SPN (as alternative to just SN)

Each statement :

1) 'S' is the midpoint of PQ.

2)  NQ is 9cm long

3) Another name of NS is the line segment NS.

4) S is an endpoint of SQ.

5) P is the midpoint of NS.

6) NS is congruent to PQ

7) Another name of NS is the line segment NS.

Given, that line segment PS is 3cm long .

1.

'S' is the midpoint of PQ.

since PS = SQ, S must be exactly in the middle.

2.

NP = PS = SQ.

So, NQ = NP + PS + SQ

= 3 × PS

NQ = 3×PS

= 3×3

= 9 cm

Thus NQ is 9cm long .

3.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

4.

Line segment is starting from point S.

S is an endpoint of SQ.

5.

P is the midpoint of NS.

So, NP = PS

6.

In line segment NS,

NP = PS

In line segment PQ,

PS = SQ

NS is congruent to PQ.

7.

Another name of NS is the line segment NS.

P is the midpoint of NS.

So, NP = PS

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The values of the square numbers are:

a. -16

b. 16

c. 16

From the information given, we have the following expressions;

Let's write the squares in simpler form

-4² = - (4 × 4)

This is so because the square was only assigned to 4 and not the negative sign

(-4)² = - 4 × - 4

This is so because the square was assigned to both the negative sign and 4

4² = 4 × 4

This is so because the square was assigned to 4

Now, we have

- (4 × 4) = -16

- 4 × - 4 = 16

4 × 4 = 16

Thus, the values are - 16, 16 and 16 respectively.

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Answer:

650 meters

Step-by-step explanation:

Use the pythagorean theorem.

a²+b²=c²2

160²+630²=c²

c²=422500

√422500 = 650

Answer:

Step-by-step explanation:

your welcome! <3

From the given equation y = 30(0.92)d, she should expect 193 phone calls after a week.

An algebraic expression is a number, variable, or the combination of both and operational symbols. On the other hand, an equation is the equality of two expressions separated by "="..

If the number of phone calls she should expect can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days, then we can calculate the expected amount phone calls after a week.

To determine how much phone calls she should expect after a week, substitute the value of d.

y = 30(0.92)d

where d = 1 week = 7 days

y = 30(0.92)(7)

y = 193.2

Rounding off to the nearest whole number,

y = 193

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Answer:

Expressing in simplest radical form means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find.

Step-by-step explanation:

I think this is the answer you need

please make my answer as brainelist

The ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

To order numbers on the number line, we have that:

If the integer parts are equal, we look at the decimal part, following the same logic as above.

For this problem, the numbers are given as follows:

Hence the ordering of the rational and irrational numbers from greatest to least is given by:

4 and 2/3, cube root of 51, -π, -17/5.

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The square root of 63.34 IS 7.95

The square root of decimal places can be found using long division method

The solution of this question in written form is attached so do check it out

first step is to find out the number whose square root is close but less than the given number as 7 in this case

second step add the divisor and the answer that is 7+ 7and make it our new divisor

Third step after carrying down the next pair of number write the number on once place that is 14_ which is 9 in our case  and keep following the same steps unit the desired answer

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Answer:

Step-by-step explanation:

=-4

Step-by-step explanation:

-5(+8-7)

= -5+1

= -4

I hope this answers helps you a lot

0<y<8

given,

The y axis has a plot as low as 0.

soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

a diagram (such as a series of one or more points, lines, line segments, curves, or areas) that represents the variation of a variable in comparison with that of one or more other variables

Types of Graphs and Charts;

Bar Chart/Graph.

Pie Chart.

Line Graph or Chart.

Histogram Chart.

Area Chart.

Dot Graph or Plot.

Scatter Plot.

Bubble Chart.

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The range of the graphical function is: 0<y<8

The graph of a function f is the set of ordered pairs, where {f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

Given that

The y axis has a plot as low as 0.

Soo it would be 0.

Then, the highest plot is marked as high as 8.

Therefore its 0<y<8.

Types of Graphs and Charts;

Bar Chart/Graph, Pie Chart, Line Graph or Chart, Histogram Chart, Area Chart, Dot Graph or Plot, Scatter Plot., Bubble Chart.

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The sum of the 8 terms of the series 1-1-3-5- ... -13 is -48

The given sequence is:

1,-1,-3,  . . -13

and there are 8 terms.

The related series of this sequence is:

1-1-3-5- ... -13

Notice that the series is an arithmetic series with:

first term, a(1) = 1

common difference, d = -1 - (1) = -2

last term, a(8) = -13

To find the sum of the series, use the sum formula:

S(n) = n/2 [(a(1) + a(n)]

Substitute n = 8, a(1) = 1, a(n) = a(8) = -13 into the formula:

S(8) = 8/2 [1 + (-13)]

S(9) = 4 . (-12) = -48

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The probability that the archer will hit the center which is 122 centimeters in diameter with 10 concentric circles whose diameters decrease by 12.2 centimeters as they get closer to the center is 1/100.

As given in the question,

Total number of concentric circle=10

Outer circle diameter=122centimeters

Diameter decrease by 12.2 centimeters as they get closer to the center

Diameter of inner most circle= 122-9(12.2)

                                             = 12.2centimeter

Probability that archer hit the center

= (Area of inner most circle)/ (Area of target)

= π(6.1)²/π(61)²

= {π(61)²/π(61)²}× 1/100

= 1/100

Therefore, probability that the archer will hit the center is 1/100.

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Answer:

5

Step-by-step explanation:

You add 5.49 until it almost goes past 30

Then count how many times you added

I hope this helps!

b = 0.02

divide both side by 5    

Answer:

I think that B equals 0.02