2. If ¡2x+3 = i, where i = V-1, then which of the
following is a solution for x?
(1) x = 16
(3) x = 11
(2) x = 10
(4) x = 14

Answer:

193

Step-by-step explanation:

9^2 = 81+181=262-69= 193

Answer:

General form of a linear equation:  [tex]y=mx+b[/tex]

(where m is the slope and b is the y-intercept)

A linear equation has a constant rate of change which is represented by the slope (m).  It is the rate at which one quantity is changing with respect to another quantity.

Part (a)

Given equation:  [tex]y=-9x+55000[/tex]

where:

The rate of change (slope) is -9 and represents that for every 1 mile driven, the value of the car decreases by $9.

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial value of car is $55,000.

Part (b)

To find the number of miles at which the car be valued at $35,002, set the equation to $35,002 and solve for x:

[tex]\implies -9x+55000=35002[/tex]

[tex]\implies -9x=35002-55000[/tex]

[tex]\implies -9x=-19998[/tex]

[tex]\implies x=\dfrac{-19998}{-9}[/tex]

[tex]\implies x=2222[/tex]

Therefore, the car will be valued at $35,002 after 2,222 miles.

Given equation:  [tex]y=0.39x+2.55[/tex]

where:

The rate of change (slope) is 0.39 and represents that for every increase of 1 oz of weight in carrots, the price of the carrots increases by $0.39

The initial value is the y-intercept (b) as this is the value when x = 0.

Therefore, the initial cost of the carrots is $2.55.

Part (b)

To find the weight of carrots you can buy for $6.06, set the equation to $6.06 and solve for x:

[tex]\implies 0.39x+2.55=6.06[/tex]

[tex]\implies 0.39x=6.06-2.55[/tex]

[tex]\implies 0.39x=3.51[/tex]

[tex]\implies x=\dfrac{3.51}{0.39}[/tex]

[tex]\implies x=9[/tex]

Therefore, you can buy 9 oz of carrots for $6.06

Part (c)

To find out how much it costs to buy 21 oz of carrots, substitute x = 21 into the equation and solve for y:

[tex]\implies y=0.39(21)+2.55[/tex]

[tex]\implies y=10.74[/tex]

Therefore, it costs $10.74 to buy 21 oz of carrots.

The number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

The arrangement of the different things or numbers in a number of ways is called the combination.

The possible outcomes for dice with 16 sides:-

{ 1,2,3,4,5,6,...............16}

The possible outcomes for dice with 20 sides:-

{ 1,2,3,4,5,6,...............20}

So the number of the possible pairs will be:-

=   16   x    20

=   320  pairs.

Therefore the number of the possible combinations from rolling a sixteen-sided and a twenty-sided dice at the same time is 320.

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The theoretical probability of spinning and odd number will be 5/9.

The theoretical probability of spinning and odd number will be:

Number of odd numbers / Total number

= 5/9

The experimental probability of spinning an odd number is equal to:

= 5/10 = 1/2

Therefore, the theoretical probability of spinning an odd number is greater than the experimental probability of spinning an odd number.

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The division equation that has a quotient of 13 is 1/1/13 = 13

The given parameters are:

A division equation is represented as:

Dividend/Divisor = Quotient

Substitute 13 for the Quotient

Dividend/Divisor = 13

Recall that:

Unit fraction = 1/n

So, we have:

Dividend/1/n = 13

Let n = 13.

So, we have:

Dividend/1/13 = 13

This gives

13 * Dividend = 13

Divide both sides by 13

Dividend = 1

So, we have:

1/1/13 = 13

Hence, the division equation is 1/1/13 = 13

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Answer:

B. 8.75%

Explanation:

Answer:8.75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

There are 15 girls

Step-by-step explanation:

Given:- Ratio of boys to girls = 5:3

And, the number of boys = 75

let the girls be 5x and boys be 3x

so, 5 × 75 { given }

x = 75/5 = 15

6x= 6 × 15 = 90

6x/6 = 90/6 = 15

---~ Hope this helps~---

The volume of the unit cell that is a simple cubic is 1.1661622e⁻²⁰.

Volume is the space occupied by a three-dimensional object.

By the formula of volume of atom

[tex]\rm Volume(atom) = \dfrac{4}{3} \times \pi \times r^3\\Volume(atom) = \dfrac{4}{3} \times \pi \times (161 \times 10^-^2^3)^3\\Volume(atom) = 2.1574e^-^2^1[/tex]

There are total 4 atoms, in a  FCC unit cell.

The total volume is

[tex]2.1574e-21 \times 4 = 8.6296e^-^2^1[/tex]

Volume of a unit cell will be

[tex]\dfrac{8.6296e-21}{0.74} = 1.1661622e^-^2^0[/tex]

Thus, the volume of the unit cell is [tex]\rm 1.1661622e^-^2^0[/tex]

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Answer:

The perimeter of his house: 256 ft

Step-by-step explanation:

length of living room = 2 x length of garage

                              =2 x 8 ft

                              =16 ft

width of living room  = 2 x width of garage

                             = 2 x 10 ft

                             = 20 ft

daniel house length =  3 x length of L.R

                            = 3 x 16 ft

                            =48 ft

daniel house width   = 4 x width of L.R

                             = 4 X 20 ft

                            = 80 ft

preimeter of rectangle = 2[l + b]

                               = 2[ 48 +80 ]

                              = 256 ft

perimeter of house = 256 ft

Answer:

63

Step-by-step explanation:

the sum of the interior angles of a triangle is 180

so,

70+47= 117

180-117= 63

Answer:

Your answer is 63°

Explanation:

47 + 70 + angle C = 180° (Sum of all angles of a triangle is 180).

117 + angle C = 180°

So,angle C =180 - 117= 63°

The time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have:

Akeem will record the time it takes him to run 1 mile each day for 7 days. In order to meet his fitness challenge, his mean running time for 7 days must be 9 minutes or less.

Here we are assuming that it is required to find the time Akeem runs on the 7th day.

Let's suppose Akeem runs x minutes on the 7th day.

Mean running time ≤ 9

The mean:

[tex]\dfrac{(9.4+9.0+9.1+8.9+8.5+8.8+x)}{7} \leq 9[/tex]

[tex]\dfrac{(53.7+x)}{7} \leq 9[/tex]

53.7 + x ≤ 63

x ≤ 9.3 minutes

Thus, the time Akeem runs on days must be 9.3 minutes or less than 9.3 minutes if the mean running time for 7 days must be 9 minutes or less.

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Answer:

27565541.

Step-by-step explanation:

An equation is formed of two equal expressions. The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given literal equation z=(a/b)+(c/d) can be solved for D as,

z-(a/b) = (c/d)

(zb-a)/b = c/d

d = cb/(zb-a)

Hence, The given literal equation z=(a/b)+(c/d) is d=cb/(zb-a).

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Answer:

1,700mm

Step-by-step explanation:

1,750mm=175cm

5cm=50mm

1,750-50=1,700mm

gary's project uses 1,750 which is equal to 175 cm he already has 5cm of string which is equal to 50mm so he will need 1,700mm of string or 170cm

i hope this helps please feel free to point out any mistakes that i might have made

Circumference = diameter x pi

Circumference = 10 cm x 3.14

Circumference = 31.4 cm

Answer:

B (-5, -2, 3, 8)

Step-by-step explanation:

Remember this because you'll probably need it

The range consists of all the y-values that make up a function. Since all of the y-values are [-5, -2, 3, 8], the answer is B

The expressions are algebraic expressions, and the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

The expression is given as:

[tex]\frac{3}{x} + \frac{4}{x^2}[/tex]

Take the LCM of the expressions

[tex]\frac{3}{x} + \frac{4}{x^2} = \frac{3x + 4}{x^2}[/tex]

The above expression cannot be further simplified

Hence, the sum of the expressions 3/x and 4/x² is [tex]\frac{3x + 4}{x^2}[/tex]

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Answer:

C on edge

Step-by-step explanation:

3x+4/x^2

Answer:

You can find the given attachment

The new length, width, and the height of the cuboid are (L+2) inches, (W+2) inches, and (H+2) inches respectively

It is defined as the six-faced shape, a type of hexahedron in geometry. As the old length, width, and height are not given so we are assuming the length of the box is L, width is W, and height is H.

Dave wants to add 2 inches to the minimum length, width, and height of the box. Including the additional space. So the new length = (L+2) inches

New width = (W+2) inches

New height = (H+2) inches

Thus, the new length, width, and height are (L+2) inches, (W+2) inches, and (H+2) inches respectively.

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Answer:

Tn= -9+(n-1)×3

Step-by-step explanation:

d= t2-t1 =t3-t2....

=-6-(-9)=3

We realize that this is an arithmetic sequence

Therefore Tn= a + (n-1)d, whereby a if the first term= - 9,d=3

Tn=-9+(n-1)×3

Answer:An=-9+3(n-1)

Step-by-step explanation:

First, find the common difference (the amount you are adding each time). You can find this by taking the second term and subtracting the first term.  Now, identify the first term.  This is the first number in your list.  Finally, plug the first term in for A1 and the common difference in for d in the equation an=a1+d(n-1)  Note: Leave the variable n as part of the equation.

The annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

Total cost or the final cost is the summation of all the cost spend while buying any good or taking any service.

Janice has been offered a job in Chicago where her current salary of $30,000 will increase by 20 percent. Thus, his new salary is,

[tex]S=\dfrac{100+20}{100}\times30000\\S=36000[/tex]

He gets 6000 thousand extra after increment. Her annual income is,

[tex]S=36000\times12\\S=432000[/tex]

Before accepting the position, Janice wants to understand her potential cost of living.

Janice works 5 days a week for 52 weeks per year. Her annual income be after paying rent, transportation, and food is,

[tex]S=432000-1500\times12-3.50\times5\times52-75\times52\\S=409190[/tex]

Thus, the annual income of Janice when she accepts new job in Chicago be after paying rent, transportation, and food is, $409190.

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The scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

When describing an enlargement you must state by how much the shape has been enlarged or reduced.

Area of triangle B =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 2 x 3

                               = 3 units

Area of triangle A =[tex]\frac{1}{2} * b *h[/tex]

                                = 0.5 x 4 x 6

                               = 12 units

Scale factor =[tex]\frac{Area of \; triangle B}{Area of\; triangle A}[/tex]

                    =[tex]\frac{3}{12}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Hence, the scale factor of dilation is [tex]\LARGE \frac{1}{4}[/tex].

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Answer:

x-intercept: [tex]\frac{3}{13}[/tex]  or about 0.231 which is also written as ([tex]\frac{3}{13}[/tex], 0)

y-intercept: 3 which is also written as (0, 3)

[Solution One]

   We can find the answer by graphing. See attached. The points at which the line intersects the different axes is the answer.

[Solution Two]

   We can solve by plugging into the equation. We will do this by setting the other variable, the one we aren't solving for, to 0.

For the x-intercept:

   y = −13x + 3

   (0) = −13x + 3

   0 - 3 = -13x + 3 - 3

   -3 = -13x

   [tex]\frac{3}{13}[/tex] = x

For the y-intercept:

   y = −13x + 3

   y = −13(0) + 3    

   y = 3

Answer:

y = 2x² - 24x + 76

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here a = 2 and (h, k ) = (6, 4 ) , then

y = 2(x - 6)² + 4 ← in vertex form

expand factor using FOIL

y = 2(x² - 12x + 36) + 4 ← distribute parenthesis by 2

y = 2x² - 24x + 72 + 4

y = 2x² - 24x + 76 ← in standard form

Answer:

[tex] x = 75\degree[/tex]

Step-by-step explanation:

The rule which represents the translation from the pre-image (Δabc), to the image (Δa'b'c') is (x, y) → (y, x).

A triangle simply refers to a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

Based on this triangle, we can deduce the following points:

By critically observing the triangle, we can also deduce that points were swapped as (x, y) → (y, x) and this is a reflection across line y = x.

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Answer:

B

Step-by-step explanation:

Answer:

the answer is 798 + 789 mawdgghhji the same time as the work of the Maroons

Answer:

three (3).

Step-by-step explanation:

H=O+A

c^2=5^2+12^2

c^2=25+144

c^2=169

c=√169

c=13

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's calculate the value of c using Pythagoras theorem ~

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = a {}^{2} + {b}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c {}^{2} = {5}^{2} + {12}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{25 + 144} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = \sqrt{169} [/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 13 \: units[/tex]