In a fraction, this is the number under the fraction bar.

Step-by-step explanation:

[tex] \frac{2 + 3i}{4 - 5i} [/tex]

[tex] \frac{(2 + 3i)(4 + 5i)}{(4 - 5i)(4 + 5i)} [/tex]

[tex] \frac{8 + 10i + 12i + 15 {i}^{2} }{16 - 25 {i}^{2} } [/tex]

[tex] \frac{8 + 22i + 15( -1 )}{16 - 25 ( - 1)} [/tex]

[tex] \frac{8 - 15 + 22i}{16 + 25} [/tex]

[tex] \frac{ - 7 + 22i}{41} [/tex]

So, a= -7

b= 22

c= 41

Answer:

a) 28 quarters

b) 14 quarters  

Step-by-step explanation:

We are given the following in the question:

Number of quarters = 20 quarters

Number of quarters in room = 40%

Total number of quarter in room =

[tex]=40\%\times (20)\\\\=\dfrac{40}{100}\times 20\\\\=8[/tex]

Thus, the total quarters taken to shopping =

[tex]=20 +40\%\times (20)\\\\=20+8\\=28[/tex]

Thus, 28 quarters were taken to shopping.

Quarter spent on shopping = 50%

Total number of quarter spent in shopping =

[tex]=50\%\times (28)\\\\=\dfrac{50}{100}\times 28\\\\=14[/tex]

Money left =

Money taken for shopping - Money spent

[tex]= 28-14\\=14[/tex]

Thus, we are left with 14 quarters after shopping.

Answer: [tex]n=8[/tex]

Cross-multiply

[tex]2/3=n/12[/tex]

[tex](2)*(12)=n*(3)[/tex]

[tex]24=3n[/tex]

Flip the equation

[tex]24=3n---->3n=24[/tex]

Divide both sides by 3

[tex]3n/3=24/3[/tex]

[tex]24/3=8----> n=8[/tex]

Final answer:

To solve the proportion 2/3 = n/12, cross multiply to get 2×12 = 3×n. Simplify the equation to 24 = 3×n, and divide both sides by 3 to get n = 8.

Explanation:

To solve the proportion 2/3 = n/12, you begin by cross multiplying to find the value of n. This means you multiply 2 by 12 and 3 by n. The equation now looks like this: 2×12 = 3×n.

Next, simplify the left side of the equation, which results in 24 = 3×n.

Finally, solve for n by dividing both sides of the equation by 3, leading to n = 8.

This method of cross multiplication and division is a common technique used to solve proportions and find missing values in ratios.

Answer:

1,2,3,4,5,7

Step-by-step explanation:

1+2+3+4+5+7 = 22

Final answer:

Six different natural numbers that add up to 22 are 1, 2, 3, 4, 5, and 7. The process involved starting with the smallest natural numbers and then incrementally adjusting the sequence to arrive at the sum of 22.

Explanation:

The question asks to find six different natural numbers whose sum equals to 22. We can begin with the smallest natural numbers, knowing that 1 cannot be included because the sum of the next five natural numbers (2, 3, 4, 5, and 6) already exceeds 22. If we start with 2 and follow with the next smallest numbers (3, 4, 5, and 6), the sum would be 20, which is close but not quite the target sum. To reach the sum of 22, we need to replace one of these numbers with a slightly larger number while still maintaining the rule that every number must be different.

Let's replace the 6 with a 7, so our numbers are now 2, 3, 4, 5, and 7. If we sum these up (2 + 3 + 4 + 5 + 7), we get 21. We need to add one more number to reach 22. The smallest number we haven't used yet is 1, but adding 1 to our sequence would require us to adjust another number as follows: 1, 2, 3, 4, 5, and 7 add up to 22. Therefore, the six different natural numbers whose sum is 22 are 1, 2, 3, 4, 5, and 7.

HOPE THIS WILL HELP U..✌✌:)

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients. The given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The given polynomial can be factorized as shown below.

x² - 9x + 20 = 0

Divided the middle term into two terms such that the sum of those two terms is -9, while the product of those two terms is +20.

Therefore, the two terms will be -5 and -4.

= x² - 5x - 4x + 20

Taking x as the common term from the first two terms and -4 as the common term from the last two terms.

= x(x-5)-4(x-5)

Taking (x-5) as the common term from the two formed terms,

=(x-5)(x-4)

Hence, the given polynomial as the product of two binomials x²-9x+20 can be expressed as (x-5)(x-4).

Learn more about Polynomials:

https://brainly.com/question/27343162

#SPJ2

Answer:

[tex](x-a)^{2} (x-b)^{3}[/tex]

Step-by-step explanation:

This is an openended question, but the anwer would be the following (where a and b are different real numbers)

[tex](x-a)^{2} (x-b)^{3}[/tex]

This would make the roots a (multiplicity of 2) and b (multipicity of 3).

Answer:

60%

Step-by-step explanation:

P(A or B) = P(A) + P(B)

175/500 are wool and 125/500 are nylon

Add them to get 300/500 or 3/5 or 60%

There are 300 coats that are either wool or nylon.

A store has 500 winter coats. 35% are wool, and 1/4 are nylon.

To find the number of coats that are either wool or nylon, we add the number of wool coats and nylon coats.

First, calculate the number of wool coats: 500 coats * 35% = 0.35 * 500 = 175 wool coats.

Then, calculate the number of nylon coats: 500 coats * 1/4 = 500 * 1/4 = 125 nylon coats.

Finally, add the number of wool and nylon coats to find the total number of coats that are either wool or nylon: 175 wool coats + 125 nylon coats = 300 coats.

Step-by-step explanation:

4.5x-2.3=6.7 (add 2.3 so no number in the equation)

6.7+2.3 is 9

4.5x=9 (divide by 4.5 as it's 9 is divisible by 4.5

9/4.5 is 2

X=2

put it back into the equation

4.5*2 is 9

9-2.3 is 6.7

Therefore X=2

Answer:

x = 2

Step-by-step explanation:

Add 2.3 to both sides.  We get:

4.5x = 6.7 + 2.3 = 9

If 4.5x = 9, then x = 2

Answer:

-11x-29

Step-by-step explanation:

Answer:

27x^6

Step-by-step explanation:

(3x^2)^3=

3^3(x^2)^3=

27x^6

Final answer:

The expression equivalent to (3x²)³ simplifies to 27x⁶, by cubing the coefficient and multiplying the exponent by 3.

Explanation:

The expression equivalent to (3x²)³ is found by cubing the digit term and multiplying the exponent by 3. When we cube 3, we get 3 x 3 x 3 which equals 27. Then, we apply the cubing to the variable term x², by multiplying the exponent 2 by 3, giving us x²ˣ³ or x⁶. Thus, the expression simplifies to 27x⁶.

Definition of muscle (Entry 2 of 2) transitive verb. : to move or force by or as if by muscular effort muscled him out of office. intransitive verb. : to make one's way by brute strength or by force.

Answer: move (an object) in a particular direction by using one's physical strength.    -angie:) .   pls mark me brainliest!    have a nice day!

Step-by-step explanation: pls trust me

Final answer:

John will need 4.5 bottles of paint to cover the entire cube, with one-eighth of a bottle covering one-sixth of one face and a cube having 6 faces.

Explanation:

The question asks how many bottles of paint John will need to paint the entire cube. If one-eighth of a bottle covers one-sixth of one face, then to cover the whole face, John would need 6 times the amount of paint for one-sixth of the face, which is 6 x 1/8 = 3/4 of a bottle. Since a cube has 6 faces, he will need 6 times 3/4 bottles to paint the entire cube. Therefore, John will need 4.5 bottles to paint the entire cube, as each face requires 3/4 of a bottle and there are 6 faces.

Answer:

The answer for addition one is 11 1/2. The answer for subtraction would be -5/6.

Hope this helps. Can I please get brainliest if possible?

The answer you are looking for is 11 and 1/2.

To find this answer, you must first add the fractions together. Before you do so, you must make sure they have a common denominator. So, multiply 1/3 by 2/2 to get 2/6. Now, add 2/6 and 1/6 to get 3/6. 3/6 simplified (divided by 3/3) is 1/2.

Next, add the whole numbers. 5 + 6 is 11. Thus making your final answer 11 and 1/2.

I hope this helps!

Answer:

I think it is NaN*10^0

Answer:

4th parallelogram is correct

Step-by-step explanation:

you can find this answer by making use of ratios

the angles (112 ) should remain the same hence :

the second and third answer are incorrect

now lets look at the 1st and 4 th answer

the diagonal is 4.8 and horizontal is 6

now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct

diagonal ratio = 5.8/4.8 = 1.21

horizontal ratio = 8/6= 1.33

both ratios are not the same hence INCORRECT

the diagonal is 2.9 and horizontal is 4

now compare to the original by using ratios.. the ratios for both diagonal and horizontal should be the same for it to be correct

diagonal ratio = 5.8/2.9 = 2

horizontal ratio = 8/4 = 2

both ratios are the same. hence CORRECT

The point A on the number line represents -4.

Step-by-step explanation:

Step 1:

The distance between 0 and -5 is split into 5 partitions.

The value for each distance is given by dividing the difference by the number of partitions.

So each partition represents a value of [tex]\frac{5}{5}=1[/tex] unit.

Step 2:

Since it is going on the negative side of the number line, the numbers vary by a value of -1 each.

The value of the first partition; [tex]-1(1) = -1[/tex],

The value of the second partition; [tex]-1(2) = -2[/tex],

The value of the third partition; [tex]-1(3) = -3[/tex],

The value of the fourth partition; [tex]-1(4) = -4[/tex],

The value of the fifth partition; [tex]-1(5) = -5[/tex].

The point A on the number line is in between the zero and the fifth partition so it is the fourth partition which has a value of -4.

Answer:

Not skewed.

Step-by-step explanation:

It's not going left or right, it's equal on both sides!

If I'm wrong, I'm EXTREMELY sorry!!!

If I'm right, you're welcome!

Answer:

Five and eight hundredths

Step-by-step explanation:

The 5 is Five

0.08 is eight hundredths

Five and eight hundredths

Answer:  Five and eight hundredths

Final answer:

Ceci's driving rate is 75 miles per hour. To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Explanation:

The question requires the calculation of Ceci's driving rate and then using it to determine how long it will take her to drive a shorter distance. First, we determine Ceci's driving rate:

Rate = Distance ÷ Time

Ceci's rate of driving is calculated by dividing the distance she can drive, 225 miles, by the time it takes her, which is 3 hours.

Rate = 225 miles ÷ 3 hours = 75 miles/hour

With the rate calculated, we can now determine how long it takes her to drive 1.125 miles:

Time = Distance ÷ Rate

Thus, the time to drive 1.125 miles at 75 miles/hour is:

Time = 1.125 miles ÷ 75 miles/hour = 0.015 hours, or approximately 0.9 minutes (since there are 60 minutes in an hour). To drive 1.125 miles at this rate, it would take her 0.015 hours, or approximately 0.9 minutes.

Answer: -11

Step-by-step explanation:

f(-2)=5(-2)-1

f(-2)= -10-1

f(-2)= -11

Answer:

f(-2) = -11

Step-by-step explanation:

x = -2

plug in -2 for x in the given equation:

f(x) = 5x - 1

f(-2) = 5(-2) - 1

Simplify. Remember to follow PEMDAS. First, multiply, then subtract:

5(-2) = 5 * -2 = -10

-10 - 1 = -11

f(-2) = -11.

~

Answer:

g= -0.67

Step-by-step explanation:

Answer:

g= -2/3

Step-by-step explanation:

1.simplify -3+5+6g to 6g+2: 6g+2=3g

2.subtrat 6g from both sides.: 2=3g-6g

3. Simplify 3g-6g to -3g: 2=-3g

4. Divide both sides by -3: -2/3=g

5. switch sides: g=-2/3

Answer:

174.68

Step-by-step explanation:

Use PEMDAS. First, multiply 1/-25 by 8. (-8/25 or-.32)

Then, add 175 and y should= 174.68.

Answer:

k=13.5

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Well we know there is a scale factor of 3 for the first triangle to the second.

4.5 to k

3 to 9

4 to 12

Hence, all we need to do it 4.5*3=k

4.5*3=13.5

k=13.5

(っ◔◡◔)っ ♥ Hope this helped, have a great day! ♥

˜”*°•.˜”*°• ~Star •°*”˜.•°*”˜

Answer:

13.5

Step-by-step explanation:

Because they are similar you can create a ratio problem

4.5/k = 3/9

3k = 40.5

k = 13.5

Answer:

35

Step-by-step explanation:

Answer: 35

Step-by-step explanation:

Do 65/100 = 22.75/x

Cross multiply and then you get 65x=2,275

Then divide both sides by 65 to get x=35

Answer:

Awesome

Step-by-step explanation:

YOU KNOW

Answer:

100% probability

Answer:

scale

Step-by-step explanation:

The scale is the ratio of the size of a model compared to the real object. A model is made to represent a real object that was too big (like building, bridge, car) or too small(bacteria, atoms, molecule). Having a model can help someone to visualize the real object easier.  Scale can be represented as a percentage, or ratio.

Answer:

Median :)

Step-by-step explanation:

The term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.

The median is the middle value when a data set is ordered from least to greatest. Median is a measure of central tendency which gives the value of the middle-most observation in the data.

For the given situation,

The diagram shows the graph of data plotted in the plane.

In the graph, the black arrow is drawn in the middle of the data set.

The right side of the data is symmetric to the left side of the data.

Thus the arrow gives the value of the middle-most observation in the data.

Hence we can conclude that the term that describes the measure indicated by the black arrow below is option (C) median is the correct answer.

Learn more about median here

https://brainly.com/question/21396105

#SPJ3

Answer:

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex] ⇒ answer C

Step-by-step explanation:

In any circle there is a constant ratio between the circumference of the circle and its diameter

This constant ratio is called π

∵ The formula of the circumference of a circle is C = π d,

    where d is the diameter of the circle

- Divide both sides by d

∴ [tex]\frac{C}{d}[/tex] = π

- Switch the two sides

∴ π =  [tex]\frac{C}{d}[/tex]

∵ The diameter of the circle is 5 centimeters

∴ π =  [tex]\frac{C}{5}[/tex]

The equation which shows how the relationship between the circumference and the diameter of this circle is equivalent to π is π =  [tex]\frac{C}{5}[/tex]

To solve this question, we need to think about the relationship between the circumference (C) of a circle and its diameter (d). The formula that describes this relationship is C = π * d.
Now, if the diameter (d) of the circle is 5 centimeters, then substituting this into the formula, we get:
C = π * 5
We want to find how this is equivalent to π, so we need to solve for π. To isolate π, we can divide both sides of the equation by 5:
C / 5 = (π * 5) / 5
Now, dividing 5 on the right side of the equation cancels it out:
C / 5 = π
This equation shows that π is equal to the circumference divided by the diameter of the circle. Since the diameter is 5 centimeters, the correct way to write this is:
π = C / 5
Which corresponds to option C.

Answer:

DAB is 117.

Step-by-step explanation:

You can solve 2 ways, either by adding the opposite angles together or by finding the 3rd angle of the triangle and using linear pair.

First Method: 63 + 54 = 117

Second Method:

180 - 63 - 54 = 63 (All triangles = 180)

180 - 63 = 117 (All linear pairs = 180)