Which expression is equal to – 3i(4 – 2i)?-610-6 – 12iO 6 – 12i-12 – 6i

Answer:

0.275 is the answer for this question.

Answer:

bag B

Step-by-step explanation:

bag A: 5R and 2G

bag B: 7R and 3G

Bag A probability for green is 2/7

bag B probability for green is 3/10

if we convert the fractions to have a common denominator:

bag A: 20/70

bag B: 21/70

so bag B has the greater probability of drawing a green marble

Using matrices the simultaneous equation is solved to get x = 3 and y = 5

This method required finding determinants in three occasions then dividing

The given equation

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right] \left[\begin{array}{c}x\\y\\\end{array}\right]= \left[\begin{array}{c}19\\8\\\end{array}\right]\)

the determinant is

\(\left[\begin{array}{cc}3&2&\\1&1\\\end{array}\right]\)

3 * 1 - 2 * 1 = 3 - 2 = 1

Solving for x

determinant while replacing x values

\(\left[\begin{array}{cc}19&2&\\8&1\\\end{array}\right]\)

19 * 1 - 2 * 8 = 19 - 16 = 3

solving for x = 3/1 = 3

Solving for y

determinant while replacing y values

\(\left[\begin{array}{cc}3&19&\\1&8\\\end{array}\right]\)

3 * 8 - 19 * 1 = 24 - 19 = 5

solving for y = 5/1 = 5

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i) 4 more gallons of petrol will be needed to complete the journey.

ii) The cost of the petrol for the 420 km journey is GH¢55.00.

i) To determine the number of gallons of petrol needed to complete the journey, we can calculate the total distance that can be covered with the available petrol and then subtract it from the total distance of the journey.

Given that the car consumes 1 gallon of petrol for every 30 km, we can calculate the distance that can be covered with 10 gallons of petrol by multiplying 10 (gallons) by 30 (km/gallon):

Distance covered with 10 gallons = 10 * 30 = 300 km

To find the remaining distance that needs to be covered, we subtract the distance covered with the available petrol from the total distance of the journey:

Remaining distance = Total distance - Distance covered with available petrol

Remaining distance = 420 km - 300 km = 120 km

Since the car consumes 1 gallon of petrol for every 30 km, we can determine the additional gallons of petrol needed by dividing the remaining distance by 30:

Additional gallons needed = Remaining distance / 30 = 120 km / 30 km/gallon = 4 gallons

Therefore, the driver will need 4 more gallons of petrol to complete the journey.

ii) To calculate the cost of the petrol for the journey of 420 km, we need to multiply the total number of gallons used for the journey by the cost per gallon.

Given that a gallon of petrol costs GH¢5.50, and the total number of gallons used for the journey is 10 (given in the problem), we can calculate the cost using the formula:

Cost of petrol = Total gallons used * Cost per gallon

Cost of petrol = 10 gallons * GH¢5.50/gallon = GH¢55.00

Therefore, the cost of the petrol for the journey of 420 km is GH¢55.00.

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Answer:

Calvin has 60 cents rounded to the nearest dime. without rounding he would only have 57

The decimal equivalent of the largest Absolute value, 987654321, is 987,654,321.  the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

The largest and smallest absolute values using the digits 1 to 9, we need to arrange them in a way that maximizes or minimizes the resulting number. Let's consider the boxes as placeholders for the digits.

To determine the largest absolute value:

We place the digit 9 in the leftmost box, as it is the largest digit among 1 to 9. Then we arrange the remaining digits, 8, 7, 6, 5, 4, 3, 2, and 1, from largest to smallest in the remaining boxes. This gives us the number 987654321, which is the largest possible number using the given digits. Therefore, the largest absolute value is 987654321.

To determine the smallest absolute value:

We place the digit 1 in the leftmost box, as it is the smallest digit among 1 to 9. Then we arrange the remaining digits, 2, 3, 4, 5, 6, 7, 8, and 9, from smallest to largest in the remaining boxes. This gives us the number 123456789, which is the smallest possible number using the given digits. Therefore, the smallest absolute value is 123456789.

To find the decimal equivalent of these numbers, we simply read the digits from left to right. The decimal equivalent of the largest absolute value, 987654321, is 987,654,321. The decimal equivalent of the smallest absolute value, 123456789, is 123,456,789.

Thus, the largest absolute value is 987,654,321 and the smallest absolute value is 123,456,789.

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Answer:

z = 66

Step-by-step explanation:

QT is a midsegment. Thus, applying the midsegment theorem:

RS = 2(QT)

QT = z - 33,

RS = z

Plug in the values into the equation

z = 2(z - 33)

z = 2z - 66

Subtract 2z from each side

z - 2z = -66

-z = -66

Divide both sides by -1

z = 66

Answer:

6.9

Step-by-step explanation:

One number that fits the description is 6.9. It is bigger than 6 4/5 (which can also be written as 6.8) and smaller than 7.

To find a number with one decimal place that is between two given numbers, we can simply choose a number that has a tenth-place value between the tenth-place values of the two given numbers.

Answer:

C.38

Step-by-step explanation:

175 times 38 = 6650

n+5

Subtract 4.2n and 3.2n

Answer:

395

Step-by-step explanation:

15.8=d/25

multiply both sides by 25 to remove the denominator

25×15.8=d

d=395

Answer:

The total cost of their purchases is 5s + 2p = 100

Step-by-step explanation:

I am going to say that:

The price of a sweater is s.

The price of a pair of pants is p.

Matt and Carla each spent $100 at the mall. Together they bought five sweaters and two pairs of pants

5 sweaters: 5s

2 pairs of pants: 2p

Total:

5s + 2p

Since the total is 100:

5s + 2p = 100

The total cost of their purchases is 5s + 2p = 100

Answer:

it should be 23 feet long

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

(a) To compute the experimental probability of rolling a 1 or 6 from Latoya's results, we need to determine the number of times a 1 or 6 was rolled and divide it by the total number of rolls Latoya made.

Let's assume that Latoya rolled the dice 100 times and obtained 20 1's and 10 6's. The total number of successful outcomes (rolling a 1 or 6) is 20 + 10 = 30.

Therefore, the experimental probability of rolling a 1 or 6 is 30/100 = 0.3 or 30%.

(b) Assuming the cube is fair, the theoretical probability of rolling a 1 or 6 can be determined by considering the favorable outcomes (rolling a 1 or 6) divided by the total possible outcomes (rolling any number from 1 to 6).

Since there are two favorable outcomes (1 and 6) out of six possible outcomes (1, 2, 3, 4, 5, 6), the theoretical probability is 2/6 = 1/3 or approximately 0.3333.

(c) The correct statement is B. As the number of rolls increases, we expect the experimental and theoretical probabilities to become closer, though they might not be equal. This is due to the law of large numbers, which states that as more trials are conducted, the experimental probability tends to converge towards the theoretical probability. However, it is not necessary for them to be exactly equal. Random variations can cause some discrepancy, but with a larger number of rolls, the experimental probability should approach the theoretical probability more closely.

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Answer:

hotdog is hotter than the sandwich because the egg is melting

According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.

            (Work)

                                      A

                                    /   ║

                             /          ║                              

                      /                 ║ 7 miles

                 /                      ║  

(Home) B /___________║C

                    14 miles

Using Pythagorean theorem formula to determine the what the distance will be:

Hypotenuse²=√Perpendicular² +Base²

Let plug in the formula

Hypotenuse²=√7²+14²

Hypotenuse²=√49+196

Hypotenuse²=√245

=15.65 miles

Therefore If a man drove 14 miles directly east from his home made a left turn at an intersection and then traveled 7 miles due north to his place of work. If a road was made directly from his home, to his place of work what would its distance be is: 15.65 miles.

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Answer:

21°

Step-by-step explanation:

In an sosceles trapezoid, the lower base and upper base angles are congurent

⇒ ∠HGF = ∠EFG

⇒ 9y + 3 = 8y + 5

⇒ 9y - 8y = 5 - 3

⇒ y = 2

⇒ ∠HGF = 9(2) + 3

= 18 + 3

= 21

The measure of angle HGF in the given isosceles trapezoid EFGH is calculated to be 21 degrees.

This problem deals with the properties of an isosceles trapezoid, which is a type of quadrilateral. In an isosceles trapezoid, opposite angles are equal. In this case, angle EFG and angle HGF would be equal to each other given the shape is an isosceles trapezoid. So, their measures should be equal.

Here, the measure of angle HGF is given as (9y + 3)°, and the measure of angle EFG is (8y + 5)°. Setting these equal to each other to find the value of y, we get 9y + 3 = 8y + 5. By simplifying, we get the value of y is 2. Substituting the found value of y in angle HGF we get, 9*2+3 = 21 degrees.

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Answer:

Step-by-step explanation:

You just need to remember to first convert percentages to decimal form by dividing the percent by 100. Then you can work out the calculations.

Also, remember that if the problem is asking you to find a percentage, you need to turn your decimal answer to a percentage by multiplying by 100.

I used x to represent what we are looking for:

6.5% of $400 = x

0.065 * 400 = $26

12.5% of 100 = x

0.125 * 100 = $12.5

x of 650 = 130

130/650 = 0.2 which equals 20%

x of $4.50 = $5.40

5.40/4.50 = 1.2 which equals 120%

x of $28 = $8.40

8.40/28 = 0.3 which equals 30%

56% of x = $21.84

21.84/0.56 = 39

55% of x = $495

495/0.55 = 900

x of 400 = 120

120/400 = 0.3 which equals 30%

4% of 975 = x

0.04 * 975 = 39

Answer:

See below

Step-by-step explanation:

a. 6.5% of $400:

\(= \frac{65}{100}\)× ($400)

= $260

b. 12.5% of $100:

\(= \frac{12.5}{100}\) × ($100)

= $12.5

c. 130 is what percent of 650:

\(=\frac{130}{650}\)×100%
= 20%

d. $5.40 is what percent of $4.50:

\(= \frac{5.40}{4.50}\)×100%
= 120%

e. $8.40 is what percent of $28:

\(= \frac{8.40}{28}\)× 100%
= 30%

f. 56% of what number is $21.84:

=\(\frac{56}{100}\)× number = $21.84

∴ Number = \(\frac{100}{56}\)×$21.84

                 = $39

g. $495 is 55% of what number:

= $495 = \(\frac{55}{100}\)× Number

∴Number = \(\frac{100}{55}\)×($495)

                 = $900

h. 120 is what percent of 400:

= \(\frac{120}{400}\)×100%
= 30%

i. 4% of 975 is what number:

= \(\frac{4}{100}\)×975

= 39

There is no proportional relationship between x and y.

No, all ratios yx are not equivalent.

We have,

"Two or more number or variable are said to be in proportion if the ratio between them are equivalent to each other."

According to the question,

Given x : 8 , 10, 12, 14

        y : 5, 7, 9, 11

Ratio between different values of x and y are not equivalent

( 8 /5) ≠ (10 / 7)≠ (12 /9) ≠(14 /11)

We conclude there is no proportional relationship between x and y.

Hence, Option(1) is the correct answer.

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complete question:

Is there a proportional relationship between x and y? Explain.

x 8 10 12 14

y 5 7 9 11

1. No; all ratios yx are not equivalent.

2.Yes; each x value and y value increases by 2.

3.Yes; the difference between each x value and y value is 3.

4.No; all ratios xy are greater than 1.

Answer:

\frac{\sqrt{3} }{2}  - .75

Step-by-step explanation:

cot Θ = Sqrt (3)

SinΘ = 1/2                         CscΘ = 2

CosΘ = Sqrt3 /  2              SecΘ = 2Sqrt3 / 3

TanΘ = Sqrt3 / 3               CotΘ = Sqrt (3)

Cotangent is Adjacent over Opposite

Adjacent = Sqrt 3

Opposite = 1

That means the Hyp = 2 (Pythag Theorem)

Sin Θ * Cot Θ - CosΘ ² =

1/2 * Sqrt 3 - .75 = (Sqrt3 / 2) - .75

Sqrt3 / 2 - .75 is as far as I can get.

please give brainliest

Answer:

To find the number of revolutions, we need to calculate the circumference of the wheel and then divide the total distance traveled by the circumference.

The circumference of a circle can be found using the formula:

C = π * d

Given that the diameter of the bicycle wheel is 14 inches, the circumference is:

C = 3.14 * 14 = 43.96 inches

Converting the distance of 1,200 meters to inches:

1,200 meters ≈ 1,200 * 39.3701 = 47,244.12 inches

Now, we can calculate the number of revolutions:

Revolutions = Distance / Circumference

Revolutions = 47,244.12 / 43.96 ≈ 1,075

Rounding to the nearest whole number, the approximate number of revolutions is 1,075.

Therefore, the correct answer is:

1,075 revolutions

Step-by-step explanation:

Find circumference of wheel :

  = pi * d = 3.14 * 14 = 43.96 inches     < ==== inches per revolution

convert 1200 meters to inches

  1200 m  * 39.3701 inches/ m = 47244.12 inches

Find the number of revolutions

          47244.12 inches / 43.96 inches/ rev =~ 1075 revs

Step-by-step explanation:

I hope this works for ya.

Answer:

A

Step-by-step explanation:

The equation of line is y= -4x -23

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. 

The slope of the line is the ratio of the rise to the run, or the rise divided by the run, therefore the change in y coordinate with regard to the change in x coordinate may be expressed as follows. In the coordinate plane, it describes the slope of the line.

Given:

We can take the coordinates from the given graph as (0, 3) and (2, -5)

Now, the slope = (-5 - 3)/ (2 - 0)

slope= -8/ 2

slope= -4

Now, using the point- slope form

(y - \(y_1\)) = m(x - \(x_1\))

(y- (-3))= -4( x- (-5))

y+3 = -4(x+5)

y+ 3= -4x - 20

y= -4x -23

Hence, the equation of line is y= -4x -23.

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Answer:

hundredth

Step-by-step explanation:

Ten equal parts of a whole is called TENTH.

Hundred equal parts of a whole is called HUNDREDTH.

Thousand equal parts of a whole is called THOUSANDTH.

Hence, a hundredth is one of one hundred equal parts of a whole.

The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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The period of the frequency factor b that is given in the diagram above would be = 0.2 sec.

The frequency of a water wave is defined as the number of times the wave completes a cycle within a given period of time. While the period is the time it takes for the completion of a cycle.

The dot the represents the frequency factor b is the green dot on the wave table. Therefore the period as traced from the graph= 0.2 sec.

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