Write the expression as a square monomial


0.16x^2y^2

Answer: (____)^2

Answer:

Step-by-step explanation:

10, 20, 30, 40, 50

12 servings of rice require six cups of rice. In order to make 12 servings, 6 cups of rice would be needed, or 2/5 of a cup.

1. It takes 2 cups of rice to make 5 servings.

2. Divide 12 by 5 to determine how many cups of rice are required to prepare 12 servings.

3. The final product is 2.4 cups.

4. Round up to the nearest whole number, which is 6 cups, to get 12 servings.

You will require 6 cups of rice to produce 12 servings of rice. The number of servings that can be made from 2 cups of rice can be used to determine this. 5 servings can be produced from 2 cups of rice. This indicates that 2/5 of a cup of rice is needed for each serving. Divide 12 by 5 to see how many cups of rice are required for 12 servings. This results in 2.4 cups of liquid. Round the amount up to the nearest whole number, which is 6 cups, to make 12 servings. 6 cups of rice are therefore required to make 12 servings.

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The power in a significance test is the probability of detecting a true effect, while the probability of making a type II error is the complementary probability of power.

A significance test is a statistical method used to determine whether an observed difference or effect is statistically significant or simply due to chance.

Power is defined as the probability of detecting an effect in a significance test if an effect truly exists. In other words, it is the probability of correctly rejecting the null hypothesis (H0) when the alternative hypothesis (Ha) is true. The null hypothesis assumes that there is no significant difference between two groups, while the alternative hypothesis states that there is a significant difference.

Mathematically, power is calculated using the following formula:

Power = 1 - β

Where β is the probability of making a type II error, which is the probability of failing to reject the null hypothesis when the alternative hypothesis is true. In other words, it is the probability of not detecting an effect when an effect truly exists.

Therefore, power and β are complementary probabilities. If power is high, β is low, and vice versa. A significance test with a low power has a higher chance of making a type II error, meaning that it can fail to detect a real effect. Conversely, a test with a high power has a lower chance of making a type II error, meaning that it can detect a real effect more accurately.

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Answer:

M (-4; 4)

Step-by-step explanation:

A ( -6; 1), B ( -2; 7)

M (midpoint) = ( ?; ?)

Midpoint coordinates formulas are

x = (x1 + x2) / 2

y = (y1 + y2) / 2

xM = (xA + xB) / 2 =

= (-6 + (-2)) / 2 = (-6 - 2) / 2 = -8 / 2 = -4

yM = (yA + yB) / 2 =

= (1 + 7) / 2 = 8 / 2 = 4

M (-4; 4)

(a) The probability that all the student pilots successfully land the plane using the simulator is 43%

(b) The probability that none of the student pilots successfully lands the plane using the simulator is 0.0026%

(c) The probability that exactly eight of the student pilots successfully land the plane using the simulator is 30.1%

Probability is a measure of the likelihood of an event occurring.

(a) What is the probability that all the student pilots successfully land the plane using the simulator?

Probability of all pilots successfully landing

=> 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 x 0.80 = 0.43 or 43%

So, the probability that all the student pilots successfully land the plane using the simulator is 0.43 or 43%.

(b) What is the probability that none of the student pilots successfully land the plane using the simulator?

The probability of each pilot failing to land the plane is 0.20. We can use the multiplication rule again to calculate the probability of none of the pilots successfully landing the plane.

Probability of all pilots failing to land = 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 x 0.20 = 0.000026 or 0.0026%

So, the probability that none of the student pilots successfully land the plane using the simulator is 0.0026% or 0.000026.

(c) What is the probability that exactly eight of the student pilots successfully land the plane using the simulator?

where P(X=k) is the probability of k successes, n is the total number of trials, p is the probability of success in one trial, and nCk is the binomial coefficient, which represents the number of ways to choose k successes out of n trials.

In this case, we have n=9, k=8, p=0.80, and (1-p)=0.20. So, the probability of exactly eight pilots successfully landing the plane is:

P(X=8) = 9C8 * 0.80^8 * 0.20^(9-8) = 0.301 or 30.1%

So, the probability that exactly eight of the student pilots successfully land the plane using the simulator is 0.301 or 30.1%.

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Heyy! Johnny Sins back with another answer for yall!

Lets see here....

The perimeter of a rectangle can be found by adding the lengths of all four sides. If the length of the rectangle is three times its width, we can write the expression for the length as 3w. Therefore, the expression for the perimeter would be:

P = 2(width) + 2(length)

P = 2w + 2(3w)

P = 2w + 6w

P = 8w

So the perimeter of the rectangle can be represented by the expression 8w.

___________________________________________________________

Pretty easy huh? Well no worries just give me 5 stars and a thanks. 2 buttons. So simple huh?

Love, Johnny Sins :)

The null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population

The appropriate null and alternative hypothesis that tests whether the proportion of college students who believe in extraterrestrial life is greater than the general population can be expressed as follows:

Null hypothesis: The proportion of college students who believe in extraterrestrial life is equal to or less than the general population, or

H0: p <= 0.47

Alternative hypothesis: The proportion of college students who believe in extraterrestrial life is greater than the general population, or

Ha: p > 0.47

where p is the true proportion of college students who believe in extraterrestrial life.

In other words, the null hypothesis assumes that the proportion of college students who believe in extraterrestrial life is the same or lower than the general population (i.e., there is no difference between the two populations), while the alternative hypothesis assumes that the proportion of college students who believe in extraterrestrial life is higher than the general population.

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a. The two firing angles of the projectile are 5.65° and 174.35°

b. The time it takes the projectile to hit the ground is 4.02 s

A projectile is an object that follows a parabolic path when thrown into the air.

Given that a projectile travels a distance of 800 meters with an initial velocity of 200 m/s, to find the firing angles, we use the formula for the range of a projectile.

The range of a projectile is its horizontal distance. It is given by R = u²sin2Ф/g where

Given that we require Ф, the angle of projection. Making it subject of the formula, we have that

Ф = [sin⁻¹(gR/u²)]/2

Given that

Substituting the values of the variables into the equation, we have

Ф = [sin⁻¹(gR/u²)]/2

Ф = [sin⁻¹(9.8 m/s² × 800 m/(200 m/s)²)]/2

Ф = [sin⁻¹(9.8 m/s² × 800 m/(40000 m²/s²)]/2

Ф = [sin⁻¹(9.8 m²/s² × 1/50 m²/s²)]/2

Ф = [sin⁻¹(0.196)]/2

Ф = 11.30°/2

Ф = 5.65°

Since sin is positive in the second qudrant also, the second angle is

Ф = 180° - 5.65°

= 174.35°

So, the angle are 5.65° and 174.35°

To find how long it takes the projectile to hit the ground, we use the formula for time of flight of a projectile.

T = 2usinФ/g where

Since

Substituting the values of the variables into the equation, we have

T = 2usinФ/g

T = 2(200 m/s)sin5.65° ÷ 9.8 m/s²

T = 400 m/s × 0.09845 ÷ 9.8 m/s²

T = 39.381 m/s ÷ 9.8 m/s²

T = 4.02 s

So, the time it takes the projectile to hit the ground is 4.02 s

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Answer:

FG = 18

Explanation:

There is a simpler solution:

It has to do with the interior angle bisector theorem. (the illustration with the angle marks and the line show that it is being bisected)

Which will divide the opposite side into segments whose lengths have the same ratio as the adjacent sides of the bisected angle.

x / 24 = x + 10 / 54 →

54x = 24(x + 10) →

54x = 24x + 240 →

30x = 240 →

x = 8.

Since the expression x + 10 represents the length of FG, it's length must be 18.

If a red ball is drawn from two urns containing colored balls , then the probability that it came from the first urn is  0.625 or 62.5%   .

Let A = the event that the first urn is chosen, and

B is = the event that a red ball is drawn.

We have to find P(A|B), which means , the probability that the first urn was chosen given that a red ball was drawn.

So , By Bayes' theorem:

we have , P(A|B) = P(B|A) × P(A) / P(B)  ;

Since each urn has an equal probability of being chosen, we have P(A) = P(B) = 1/2 ; and

the probability of drawing a red ball is the same regardless of which urn was chosen.

We need to find P(B|A), the probability of drawing a red ball from the first urn is 50/100 = 0.5   ;

To find P(B), the overall probability of drawing a red ball, we can use the law of total probability:

that is ; P(B) = P(B|A) × P(A) + P(B|A') × P(A')  ;

where A' = event that the second urn was chosen.

Now , we find P(B|A'), which is the probability of drawing a red ball from the second urn is = 30/100 = 0.3    ;

We know that P(A') = 1/2 = 0.5 , because there are only 2 urns.

So , we have : P(A|B) = P(B|A)×P(A) / P(B)  ;

= (0.5×0.5) / (0.5×0.5 + 0.3×0.5)

= 5/8

= 0.625

Therefore, the probability that the red ball came from the first urn is 0.625 or 62.5%   .

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Answer:

8

Step-by-step explanation:

Let's call the number of 27c stamps in the book "x". The number of 32c stamps in the book would then be $6.00 / $0.32 = 18.75 stamps, but since stamps come in whole numbers, we'll round down to 18 stamps. So the total number of stamps in the book is x + 18.

The total value of the 27c stamps is $0.27 * x. The total value of the 32c stamps is $0.32 * 18 = $5.76. The total value of both stamp types is $6.00, so we have the following equation:

$0.27x + $5.76 = $6.00

Solving for x:

$0.27x = $0.24

x = $0.24 / $0.27 = 8.89 stamps, rounded down to the nearest whole number, which is 8 stamps.

So the answer is B) 8.

Answer:

Step-by-step explanation:

so 1in is 2.5ft.

6.4 times 2.5 is 16.

4.8 times 2.5 is 12.

16+16+12+12

is 24+32.

which is 56.

answer: B

The following statements best explains the steps to solve the pair of equations graphically is Option D.

The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.

The first equation is:

y = -x +1

so the slope is -1, and the y-intercept is +1.

The second equation is:

 y = 2x +4

so the slope is 2, and the y-intercept is 4.

The slopes and intercepts are properly described in the last selection.

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The complete question:

A pair of linear equations is shown below:

y = -x + 1

y = 2x + 4

Which of the following statements best explains the steps to solve the pair of equations graphically? (4 points)

On a graph, plot the line y = -x + 1, which has y-intercept = -1 and slope = 1, and y = 2x + 4, which has y-intercept = 2 and slope = 4, and write the coordinates of the point of

Intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept - 1 and slope = 1, and y = 2x + 4, which has y-intercept = 1 and slope = 4, and write the coordinates of the point of

intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = -2 and slope = 2, and write the coordinates of the point

of intersection of the two lines as the solution.

On a graph, plot the line y = -x + 1, which has y-intercept = 1 and slope = -1, and y = 2x + 4, which has y-intercept = 4 and slope = 2, and write the coordinates of the point of

intersection of the two lines as the solution.

Answer: Maybe first give an equation

Step-by-step explanation:

Answer:

1.             The volume of the composite figure is 10,164 [tex]cm^3[/tex].

2.            The measure of ∠BCM is 59°.

3.            The area of the given figure is 823.5 [tex]in^2[/tex].

4.            The area of the given figure is 60 [tex]yd^2[/tex].

5.            The area of the following figure is 22.5 [tex]m^2[/tex].

Step-by-step explanation:

1.             In order to make finding the composite figure's volume easier, we can separate the figure into two rectangular prisms, find the volume of each, and add them together. If we make a horizontal cut across the top of the large rectangular prism, we would have two rectangular prisms: One with the dimensions 23 cm × 10 cm × 42 cm, and one with the dimensions 3 cm × 4 cm × 42 cm. Their respective volumes would be 9,660 [tex]cm^3[/tex] and 504 [tex]cm^3[/tex]. Therefore, the composite figure's volume is 9,660 + 504 = 10,164 [tex]cm^3.[/tex]

2.           As ∠BCH and ∠MCD are vertical angles, we can conclude that 4g + 109 = 5g + 106. Based on this information, g is equivalent to 3, meaning both ∠BCH and ∠MCD have an angle measure of 121°. Since both angles form a straight angle with ∠BCM, we know that 121° plus the angle measure of ∠BCM is equivalent to 180°. Therefore, we can conclude that ∠BCM = 180 - 121 = 59°.

3.         In order to make finding the area of the given figure easier, we can split the figure into three shapes: two rectangles and a triangle. The area of the large rectangle is 12 × 54 = 648 [tex]in^2[/tex], the area of the smaller rectangle is 12 × 9 = 108 [tex]in^2[/tex], and the area of the triangle is 15 × 9 × [tex]\frac{1}{2}[/tex] = 67.5 [tex]in^2[/tex]. Therefore, the area of the entire figure would be 648 + 108 + 67.5 = 823.5 [tex]in^2[/tex].

4.         Like questions 1 and 3, we can cut the figure into a triangle, a rectangle, and a parallelogram in order to find the entire area easier. The area of the rectangle is 11 × 4 = 44 [tex]yd^2[/tex], and the area of the triangle is 5 × 4 × [tex]\frac{1}{2}[/tex] = 10 [tex]yd^2[/tex]. As for the parallelogram, it's important to note that in order to find the area of a parallelogram, you only need to multiply the length and the height together as you would for a rectangle. This is because you can cut any parallelogram and reshape it into a rectangle with the same dimensions, therefore the area of the parallelogram would be 3 × 2 = 6 [tex]yd^2[/tex]. Lastly, the area of the entire given figure would be 44 + 10 + 6 = 60 [tex]yd^2[/tex].

5.       Lastly, we are given a triangle and asked to find its area. An important information to keep in mind is that as long as you know a base length and the vertical height to that corresponding side, the formula to calculate the area of a triangle would still be [tex]\frac{1}{2} bh[/tex]. In the given triangle, the base length is 9 meters, and the vertical height is 5 meters. Therefore, the area of the following figure would be 22.5 [tex]m^2[/tex].

Have a great day! Feel free to let me know if you have any more questions :)

Answer:

[tex]g^6[/tex]

Step-by-step explanation:

When multiplying exponents, for example

[tex]x^2 * x^5[/tex]

Their power values are added together to get

[tex]x^2 * x^5 = x * x * x* x* x* x* x = x^7[/tex]

Answer:

[tex]g^6[/tex]

Step-by-step explanation:

because, [tex]g^3*g^3[/tex] is basically [tex]g^(^3^+^3^)[/tex] which is [tex]g^(^6^)[/tex] = [tex]g^6[/tex]

A linear clear variation is represented by the equation y = kx, in which k is the area under the curve y = mx + b and b is the zero-valued y-intercept.

The polynomial y = mx (commonly stylized y = kx), which seems referred to as a direct variation, can be obtained from the theory y = mx + b if m is a sufficiently small factor and b = 0. In other words, you may claim that y directly depends on x or that y is proportionate to x.

The standard format for presenting a direct variation is y=kx. The letters "y" and "x" are variables, and the letter "k" is a constant. Making a table will allow you to identify those ordered pairs that statisfy the example of y=2x.

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The number of multiplications for the power₁ is 3 multiplication power₂ is one multiplication and power₃ is 5 multiplications and the number of recursive calls will power2 and power3 make when computing 332 and  319 is 5.

First, let's look at power₁. This function can compute the power of a number by repeated multiplication. For example, to compute 3 to the 4th power, power₁ would perform three multiplications: 3 x 3 x 3 x 3 = 81.

Using this approach, we can see that to compute 3 to the 32nd power, power₁ would perform 31 multiplications (3 x 3 x 3... repeated 31 times). Similarly, to compute 3 to the 19th power, power₁ would perform 18 multiplications.

Next, let's consider power₂. This function uses a different strategy for computing powers. It relies on the fact that any number can be expressed as a power of 2

To compute 3 to the 32nd power using power₂, we would first express 32 as a sum of powers of 2:

=> 32 = 2⁵ + 2⁴ + 2³.

Then, we would use the fact that 3 raised to a power of 2 can be computed with just one multiplication: 3² = 9.

Using this fact repeatedly, we can compute 3 to the 32nd power with only 5 multiplications:

=> 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

For 3 to the 19th power, power2 would express 19 as 2⁴ + 2¹ and then use 4 multiplications:

=> 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3.

Finally, let's look at power3. This function is similar to power2 but uses a more efficient algorithm called exponentiation by squaring. This algorithm works by repeatedly squaring the base and halving the exponent until the exponent is 1.

To compute 3 to the 32nd power using power₃, we would start with the binary representation of 32 (100000 in binary).

we can see that power₃ will only perform 5 multiplications to compute 3 to the 32nd power.

Similarly, to compute 3 to the 19th power, power₃ would start with the binary representation of 19 (10011 in binary) and use the exponentiation by squaring algorithm to perform only 6 multiplications.

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Complete Question:

How many multiplications will each of the functions power₁, power₂, and power₃ perform when computing 332? 319?

there are 10 short answer questions on the test, we get this answer after solving.

Let's assume that the number of multiple choice questions on the test is "m", and the number of short answer questions is "s".

From the given information, we can set up a system of equations:

m + s = 30 (The total number of questions on the test is 30)

1m + 3s = 50 (The total number of points on the test is 50)

To solve for "s", we can use the first equation to find "m" in terms of "s":

m = 30 - s

Then we can substitute this expression for "m" into the second equation:

1(30 - s) + 3s = 50

Simplifying and solving for "s", we get:

30 - s + 3s = 50

2s = 20

s = 10

Therefore, there are 10 short answer questions on the test.

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Complete Question

Diego’s history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning.

Answer:

8

Step-by-step explanation:

8x3 = 24

24 + 4 = 28

The required ordered pair represents the center of the new circle after the transformation is (-x,y). Option A is correct.

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them.

Here,
If a circle is reflected across the y-axis, its center, which was originally located at (x, y), will move to a new location that is the same distance from the y-axis but on the opposite side. Since the y-coordinate does not change during a reflection across the y-axis, the y-coordinate of the new center will remain the same as the original, which is y.

However, the x-coordinate will be negated, since the reflection across the y-axis involves flipping points to the opposite side of the y-axis. Therefore, the center of the new circle will have the coordinates (-x, y).

So the answer is A) (-x, y).

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Answer: 1/8

Step-by-step explanation: 3/4 is the same as 6/8

7/8- 6/8 = 1/8

The transformation that maps △UVW to △EFG is (d) (x, y) = (-2x, -2y)

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

The figure

From the figure, we can see that

Triangle EFG is twice the triangle UVW in side lengths

This means that

(x, y) = (2x, 2y)

The orientations are 180 degrees apart

So, we have

(x, y) = (-2x, -2y)

Hence, the transformation is (d) (x, y) = (-2x, -2y)

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The properties of midpoints and rectangles to show that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus.

In this problem, we will prove that a quadrilateral with vertices at the midpoints of the sides of a rectangle is a rhombus. This is an important result in geometry and is often used in solving more complex problems.

Let us consider a rectangle ABCD with sides AB, BC, CD, and DA. Let P, Q, R, and S be the midpoints of the sides AB, BC, CD, and DA, respectively.

We need to prove that PQRS is a rhombus, which means we need to show that all sides of PQRS are equal.

First, we can observe that PQ and SR are parallel to AD, and QR and PS are parallel to AB. This is because P and S are midpoints of AB and AD, and Q and R are midpoints of BC and CD, respectively. Therefore, PQ and SR are both half the length of AD, and QR and PS are both half the length of AB.

Next, we can use the fact that the opposite sides of a rectangle are equal. This means that AD = BC and AB = CD. Therefore, PQ and SR have the same length, as they are both half of AD. Similarly, QR and PS have the same length, as they are both half of AB.

Thus, we have shown that all sides of PQRS are equal, which means that PQRS is a rhombus.

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Complete Question:

ABCD is a rectangle and P, Q, R and S are mid-points of the sides AB, BC, CD and DA respectively. Show that the quadrilateral PQRS is a rhombus.

The percentage of students doing cycles is 37.98% ((204/535)*100).

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" is also used, the percent symbol, "%," is frequently used to indicate it.

A % is a number without dimensions and without a measurement system.

The other answers are:

After the dealer discount, the car will cost €10,540 (€12,400 * 0.85).

The current price of the television is €638.50 (€510.80 * 1.25).

The Netflix connection will cost €13.80 after the discount (€17.25 * 0.8).

The family will pay €252 in cash (30% of €840), and the amount of each monthly installment will be €126.

You have been discounted by 20% ((60-48)/60*100).

The car will cost €9,000 with the bonus (€12,000 - €3,000), and the family will save 25% of the original price (€3,000/€12,000*100).

The capital will produce €683.10 of interest (€3000 * 0.045 * 5).

The capital that the bank will return is €3,855 (€3700 + (€3700 * 0.075 * 6/12)).

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The approximate value of f(4.5) is 550000.

Exponents are used in exponential functions, as the name suggests. But take note that an exponential function does not have a constant as its base and a variable as its exponent (A function is a power function rather than an exponential function if its base is a variable and its exponent is a constant).

From the given graph, the coordinate points are (0, 1000000), (1, 900000) and (2, 810000)

We know that, f(x)=mx+c

Here, (0, 1000000) and (1, 900000)

Now, m=(900000-1000000)/(1-0)

m=-100000/(1-0)

m=-100000

Substitute b=-100000 and (x, y)=(0, 1000000) in y=mx+c

1000000=-100000(0)+c

c=1000000

Substitute m=-100000 and c=1000000 in y=mx+c, we get

y=-100000x+1000000

The approximate value of f(4.5)

Now, y=-100000(4.5)+1000000

y=550000

Therefore, the approximate value of f(4.5) is 550000.

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The number that can each terms of the equation be multiplied by to eliminate the decimals before solving is 100

The equation is

5.6j + 0.12 = 4 + 1.1j

The equation is defined as the mathematical expression that shows the relationship between one expression and another expression with equal sign. The equation consist of mathematical operator like addition, subtraction, division and multiplication

The equation is

5.6j + 0.12 = 4 + 1.1j

Here three term has fractional part.

In 0.12 there are two digits after the decimal point to eliminate the decimal number we have to multiply the number with 100 .

Then the equation will become

560j + 12 = 400 + 110j

Therefore, the number is 100

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The given question is incomplete, the complete question is

Which number can each term of the equation be multiplied by to eliminate the decimals before solving?

5.6j + 0.12 = 4 + 1.1j

Answer:

y= -5/4x+

Step-by-step explanation:

find the gradient first ∆y/∆5x

-4-1/ 8-4

=-5/4

assume one of the points to be x, y

y-1/ x-4 =-5/4

cross multiply

4y-4=-5x+20

4y= -5x+20+4

divide both sides by 4

y= -5/4x+