4
Select the equation below that has solutions of 1-3i and 1+3i *
(1 Point)
O A. O = x2 – 2x - 10
O B. 0 = x2 -- 2x + 10
O C. O = x2 – 2x + 8
O D. 0 = x2 - 2x - 8
PLS HELP!!!

Answer:

Step-by-step explanation

RHS = cos 105° + cos 15°

         = cos (90° + 15°) + cos (90° – 75°)  

         = – sin 15° + sin 75°

         = sin 75° – sin 15°

          = LHS

Answer:

Step-by-step explanation:

sin75-sin15

=sin (90-15)-(-cos (90+15))

=cos 15+cos 105

\(solution= \frac{x}{3}=\frac{6}{9}- x=2\\ answer:2ft\)Answer:

Step-by-step explanation:

Answer:

1) congruent

2) corresponding angles

3) 3x+21 = 6x-60

4) x =9

Step-by-step explanation:

1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.

2) the file below

3) we know they are equal because the congruent correspoding angles.

4) 3x+21 = 6x-60

=> 21 = 9x-60

=> 81 = 9x

=> 9 = x

Answer:

x = 0.8888888889

Step-by-step explanation:

I think this is the answer... :)

Answer:

M<ADE= 59

Step-by-step explanation:

(4x+15) + (13x+7)=90

x=4

ADE=DBC

13*4=52

52+7=

59

_________________________________

4*4=16

16+15=31

59+31=90

an soo 59 and 31 equal 90 the answer for your question Find mADE.

(4x + 15) -(13x +7° ) the answer is (59)!

The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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The number of badges that can be cut from a piece of card, which is 20 centimeters by 30 centimeters, is 21.

A region's size on a plane or curved surface is expressed by a measurement known as an area. Unlike the area of a plane region or plane area, which refers to the area of a shape or planar lamina, surface area describes the area of an open surface or the boundary of a three-dimensional object.

Given:

A sheet of the card is 20 centimeters by 30 centimeters,

The diameter of a badge, d = 60 mm or 6 cm,

Calculate the area of the sheet as shown below,

\(Area = length \times width\)

Area = 20 × 30 = 600 cm²

Calculate the area of the badge as shown below,

\(Area = \pi d^2 / 4\)

Area = 3.14 × 6² / 4

Area = 28.26 cm²

To calculate the number of badges\(No\ of\ badges = Area\ of \ sheet / Area \ of badge\), use the formula given below,

Number of badges = 600 cm² / 28.26 cm²

Number of badges = 21.23 or 21

Therefore, the number of badges that can be cut from a piece of card, which is 20 centimeters by 30 centimeters, is 21.

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Answer:

i think its a

To change a word equation into a numerical equation, we can replace keywords with numbers or operations.

We're given:

6 × 2x = 72

Answer:

Parallel Line: \(y=-\frac{4}{5}x+\frac{1}{5}\)

Perpendicular Line: \(y=\frac{5}{4}x-8\)

Step-by-step explanation:

Perpendicular lines have a slope that is the negative reciprocal of each other. So for example if one line has a slope of: \(\frac{a}{b}\), where "a" and "b" are just some constants, then a perpendicular line would have a slope of: \(-\frac{b}{a}\), so the slope fraction is just flipped and it's the opposite sign.

Parallel lines never intersect meaning they will have the same slope, since as one goes to the right one and up or down some amount, the only way for the other line to never intersect is to also go up or down by the same amount, which is essentially the slope. The only other condition is that parallel lines must have different y-intercepts, otherwise they have the same slope and y-intercepts meaning they're just the same line and instead of never intersecting they actually intersect at infinitely many points.

The slope-intercept form is especially useful as we can simply look at it and determine the slope and y-intercept, hence the name slope-intercept form. We want to convert into this form to determine the slope of the equation given to us so we can find the perpendicular and parallel lines.

We're given the equation in standard form:

\(4x+5y=9\)

We want to convert this into slope-intercept form, which we can do by isolating the y variable. We want to get rid of the 4x term on the left side by subtracting 4x, and we want to do this to both sides to maintain equality:

\(4x-4x+5y=9-4x\)

Simplify:
\(5y=-4x+9\)

Now we want to get rid of the coefficient of 5 from the left side, and this coefficient is just multiplication so to cancel out multiplication, we divide, specifically by 5 in this case, and on both sides to maintain equality:

\(\frac{5y}{5}=\frac{-4x+9}{5}\)

Simplify:
\(y=-\frac{4}{5}x+\frac{9}{5}\)

Now we know the slope is: \(-\frac{4}{5}\)

For this we simplify find the negative reciprocal so we flip the fraction and "flip" the sign, or in other words if it's negative it becomes positive, if it's positive it becomes negative so: \(-\frac{4}{5}\to \frac{5}{4}\)

We can represent the general equation of a perpendicular line in slope-intercept form: \(y=\frac{5}{4}x+b\), where "b" is some constant number. We're given that it passes through the point (4, -3) which we can plug in as (x, y) to solve for that value "b"

\(-3=\frac{5}{4}(4)+b\)

Simplify on the right side

\(-3=5+b\)

Subtract 5 from both sides

\(-8=b\)

So now we have the perpendicular line equation: \(y=\frac{5}{4}x-8\)

For this we don't have to do anything to the slope, since for parallel lines the slope is the same, so we know the slope is: \(-\frac{4}{5}\) and we can plug this into the slope-intercept form to get a general equation for a parallel line: \(y=-\frac{4}{5}x+b\text{ where }b\ne\frac{9}{5}\)

Since we're given that it passes through the point (4, -3) we can plug this in as (x, y) to find a definitive equation.

\(-3=-\frac{4}{5}(4)+b\)

Simplify on the right side:

\(-3=-\frac{16}{5}+b\)

Rewrite the left side to have a denominator of 5:

\(-\frac{15}{5}=-\frac{16}{5}+b\)

Add 16/5 to both sides:

\(\frac{1}{5}=b\)

So now let's plug this into a general equation we had above to get:
\(y=-\frac{4}{5}x+\frac{1}{5}\)

Answer:

55 students

Step-by-step explanation:

all you do is 220*.25 and you get the answer

Answer:

ur gay landen

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:13

Step-by-step explanation:

Answer:

The answer is down below

Step-by-step explanation:

v-u=◇velocity

\( = 9 - 5\)

◇velocity =4ms‐¹

acceleration =◇velocity/time

\(a = \frac{4}{5} \)

\(a = 0.8m {s}^{ - 2} \)

Change in velocity:

\( \sf \:final \: velocity - initial \: velocity = change \: in \: velocity\)

\( \therefore \tt \delta \: v = 9 - 5 \\ \tt = 4m {s}^{ - 1} \)

To find acceleration:

\( \rm \: a = \frac{ \triangle \: v}{\triangle \: t} \)

\( \rm \: a = \frac{ 4}{5 - 0} = \frac{4}{5} = 0.8m {s}^{ - 1} \)

Answer: The correct option is B) 2√6

explanation:

A) 4π/π = 4 (This simplifies to 4, which is a rational number since it can be expressed as a fraction 4/1.)

B) 2√6 = irrational number (The square root of 6 cannot be simplified to a fraction or whole number, so it is an irrational number.)

C) 18 = rational number (This is a whole number and can be expressed as a fraction 18/1.)

D) 21.989 = rational number (This is a decimal number, but it can be expressed as a fraction, such as 21989/1000.)

Answer:

Step-by-step explanation:

because 2 surd 6 will continue to give you an infinite number which is an irrational number

To find the common roots between two functions, we need to find the roots (or solutions) of each function individually and then identify the shared solutions.

For the function f(x) = x^2 + x - 6, we can find the roots by setting the function equal to zero and solving for x:

x^2 + x - 6 = 0

To factorize this quadratic equation, we need to find two numbers that multiply to -6 and add up to 1 (the coefficient of x). The numbers that satisfy these conditions are 3 and -2:

(x + 3)(x - 2) = 0

Setting each factor equal to zero:

x + 3 = 0 or x - 2 = 0

Solving for x in each equation:

x = -3 or x = 2

Therefore, the function f(x) = x^2 + x - 6 has two roots: x = -3 and x = 2.

To find the common roots between this function and another function, we would need to know the second function. If you provide the second function, I can help determine if there are any shared roots.

25 percentage of 80 is 20.

To find 25% of 80, you can use the following formula:

Percentage = (Percentage Value/100) x Total Value

In this case, the percentage value is 25% (or 25/100) and the total value is 80. Plugging these values into the formula, we have:

Percentage = (25/100) x 80

To simplify the calculation, we can simplify 25/100 by dividing both the numerator and denominator by 25:

Percentage = (1/4) x 80

Now we can multiply 1/4 by 80:

Percentage = 1/4 x 80 = 20

Therefore, 25% of 80 is 20.

In other words, if you take 25% of a total value of 80, you will get a result of 20. This means that 20 is a quarter (or one-fourth) of 80. Percentages are a way to express a fraction of a whole, where 100% represents the entire value. In this case, 25% represents one-fourth of 80.

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Answer:

1) 7/8     8/7

2) 4.4

3) 3.7

4) 2.8

Step-by-step explanation:

Length of bottom side of Figure A: 8 cm

Length of bottom side of Figure B: 7 cm

From Figure A to Figure B, the scale factor is 7/8.

7/8

8/7

5 × 7/8 = 35/8 = 4.375

4.4

3.2 × 8/7 = 3.657...

3.7

3.2 × 7/8 = 2.8

2.8

We know that two vertical angles are equal.

\(108° \: = \: (12x \: + \: 24)°\)

\( - 12x \: = \: 24 \: - \: 108\)

\( - 12x \: = \: -84\)

\( \boxed{ \bold{x \: = \: 7°}}\)

We know that a complete angle measures 360°.

\(108° \: + \: 108° \: + \: z \: + \: z \: = \: 360°\)

\(216 \: + \: 2z \: = \: 360\)

\(2z \: = \: 360 \: - \: 216\)

\(2z \: = \: 144\)

\( \boxed{ \bold{z \: = \: 72°}}\)

The composite solid is a rectangular parallelepiped with a square base, with a hole in the middle in the shape of a cylinder. The volume of this solid is given by the difference between the volume of the parallelepiped and the volume of the cylinder. The volume of both figures is given by the area of the base, times the height of the solid.

Then, we can factor out the height when calculating the difference between the volumes, this way we just have to calculate the difference between the area of the basis.

The area of a square is given by the product between its side length and itself.

The area of a circle is given by the following formula

Where d represents the diameter. The square base of the parallelepiped has a length of 4 inches, and the diameter of the hole is 2 inches.

Using the area formulas on the formula for the volume, and the given values for the square side length and diameter, we have

The volume of this solid is 205.76 in.³.

Answer:

17n=-4 ÷17

n=-0.235

Step-by-step explanation:

prove me wrong

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

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Answer:

355/113 is a rational approximation for pi

Step-by-step explanation:

Answer:

355/113  would be the rational number that is approzimated for PI

On comparing the given expressions we get-

\(9^{-2} < (\frac{1}{9}) ^{-1}\)

\((\frac{1}{9}) ^{-1} < (\frac{1}{9}) ^{-2}\)

\(9^{-1} > 9^{-2}\)

Here, we are given 3 pairs of expression. Let us evaluate them one by one.

\(9^{-2}\) _ \((\frac{1}{9}) ^{-1}\)

The negative exponent means that the base is the reciprocal raised to a positive power. Thus, \(9^{-2}\) can be written as- \((\frac{1}{9}) ^{2}\) = 1/81

similarly, \((\frac{1}{9}) ^{-1}\) can be written as- \((9}) ^{1}\) = 9

Thus, the expression becomes-

1/81 _ 9

clearly we can see that 1/81 < 9

Now, we have \((\frac{1}{9}) ^{-1}\) _ \((\frac{1}{9}) ^{-2}\)

As shown above, the expression can be simplified as-

\((9) ^{1}\) _ \((9) ^{2}\)

9 _ 81

clearly we can see that 9 < 81

Next, we have- \(9^{-1}\) _ \(9^{-2}\)

we can write this as-

1/9 _ 1/81

Clearly, 1/9 > 1/81

Hence, we have solved the given inequalities.

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Answer:

8 ounces for each pot

Step-by-step explanation:

First, we know there are 16 oz in a pound. Since there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Franklin will plant. We then divide 64 by 8, to find out the amount of oz per pot.

Hope this helps!

A.

1. Mode: No mode. Median: 24. Mean: 30.875. Range: 50.

2. Mode: No mode. Median: 33.5. Mean: 43.9. Range: 85.

3. Mode: No mode. Median: 46. Mean: 43.571. Range: 61.

4. Mode: No mode. Median: 17. Mean: 18. Range: 28.

5. Mode: No mode. Median: 10.5. Mean: 13.5. Range: 27.

6. Mode: 15. Median: 22.5. Mean: 25.857. Range: 31.

B.

7. Mode: 4.3. Median: 4.2. Range: 2.1.

8. Mode: 18.6. Median: 18.6. Range: 0.8.

C.

9. Mode: No mode. Median: 4/9.

10. Mode: No mode. Median: 5/24.

Answer:

179.6 (Estimated)

Step-by-step explanation:

5,924 ÷ 33 = 179.6 (Estimated)

Hoped this helped.

Answer:

5,924 ÷ 33 = 179.6 (in estimated form)

Step-by-step explanation:

5,924 divided by 33 equals 179.515151515.

Since 179.515151515 is not in estimated form, this can't be the correct answer.

Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!

179.515151515 → 179.6

Since 51 was repeating, we could round it up.

Therefore, 179.6 is your final answer.

Hope this helps! :D

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Answer:

I think it's a 90 degree rotation

Given:

Multiply: \((3x-5)(-x+4)\).

To find:

The simplified product in standard form.

Solution:

We have,

\((3x-5)(-x+4)\)

Applying the distributive property, the expression becomes

\(=(3x)(-x)+(3x)(4)+(-5)(-x)+(-5)(4)\)

\(=(-3x^2)+12x+5x+(-20)\)

On combining like terms, we get

\(=-3x^2+(12x+5x)-20\)

\(=-3x^2+17x-20\)

Therefore, the simplified product in standard form is \(-3x^2+17x-20\).