Solve For X. 5 - 2x^2 = -15

Answer:The cube root of a negative number is a complex number because there is no real number that, when cubed, gives a negative result.

To find the cube root of -1, we can express it in exponential form as -1 = 1 * e^(iπ), where i is the imaginary unit and π is pi.

The cube root of -1 can be calculated by applying De Moivre's theorem, which states that (r * e^(iθ))^(1/n) = r^(1/n) * e^(iθ/n), where r is the magnitude and θ is the argument of the complex number.

For n = 3, the cube root of -1 becomes:

(-1)^(1/3) = (1 * e^(iπ))^(1/3) = 1^(1/3) * e^(iπ/3) = e^(iπ/3).

Therefore, the cube root of -1 is e^(iπ/3), which can also be expressed as cos(π/3) + i * sin(π/3).

In trigonometric form, the cube root of -1 is (√3/2) + i * (1/2).

Answer:

[tex]5x^3-18x^2+2x+21[/tex]

Step-by-step explanation:

In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.

Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).

If we continued off from the second step with these corrected errors:

[tex]5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21[/tex]

Therefore, the correct simplification is [tex]5x^3-18x^2+2x+21[/tex].

Answer:

5x^3-18^2 +2x +21

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Lets go through each answer choice and check if it is correct.

A: False. 50% of 70 is not 31.

B: False. 17% of 70 is not 17.

C: False. The fraction 8/70 does not simplify to 2/25.

D: Correct. The fraction 14/70 simplifies to 2/10.

Answer:

The answer is D, On average, 2 out of 10 adults visited the museum most frequently.

Step-by-step explanation:

You can find this out by finding out how many adults there was total. You would do 31+14+17+8=70 and the you can see that 14 went to the museum so it would be 14/70. This fraction simplifies to 2/10.

The number which describes the median of the data given in the table is 23. option B.

The number which describes the range of the data given in the table is 6. Option A.

Arrange the average gas mileage in ascending order

22, 22, 23, 26, 28

The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.

The median is 23

Hence, the range of the data set refers to the difference between the highest and lowest data.

= 28 - 22

= 6

Read more on median and range:

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Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.

___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.

Answer:

The correct answer is 7

Answer:

The answer is B. 39.0

Step-by-step explanation:

To find the average we add all the numbers then divide it by the total amount of numbers

= 23 + 33 + 33 + 27 +25 + 68 + 27 + 44 + 72/9

= 352/9

= 39.111111111

Round it of to the nearest tenth

= 39.0

Answer:

B. 6 over 36

Step-by-step explanation:

As we are given the sample space, the events that sum to 6 are:

{(1,5), (2,4), (3,3),(4,2),(5,1)}

Let n(S) be the number of items in sample space

n(S) = 36

Let E be the event the sum is 6

Then,

n(E) = 6

So,

P(Sum of two cubes is 6) = n(E) / n(S)

= 6/36

So, the correct answer is:

B: 6/36

Answer:

B. 6 over 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

probability you roll a one is 1/6

probability you roll an 8 is 0/6

add them and the answer is 1/6

Answer: 7/16

Step-by-step explanation:

Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.

Answer:

I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!

Answer: 3,380

Step-by-step explanation: THIS IS MY GUESS.

Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.

Answer:

6.9 if a triangle pyramid

Step-by-step explanation:

If triangle pyramid,

1/3(b)(h)

1/3(200)(h)=460

h=6.9

Answer:

3 1/3

Step-by-step explanation:

       See attachment below

Answer:

Option (A) 3 1/3

Step-by-step explanation:

Let’s solve the improper fraction into a mixed fraction.

The simplified fraction will get a remainder but we I’ll not solve the remainder.

50/15

Quotient = 3

Remainder = 5

Fraction = 3 5/15

               = 3 1/3

Hope my answer helps you ✌️

Mark BRAINLIEST

The expression without the absolute value symbol is given as follows:

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

The expression for this problem is given as follows:

7 - (12 - x).

The critical value of x is obtained as follows:

7 - (12 - x) = 0

7 - 12 + x = 0

x = 5.

Hence the expression is given as follows:

More can be learned about the absolute value function at https://brainly.com/question/3381225

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Answer: x=108 degrees

Step-by-step explanation:

Since ST is a straight line, it measures 180 degrees.

This means that

x+(2/3)x=18

The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.

Answer:

x=108 degrees

Step-by-step explanation:

We know that since ST is a line, it equals a total of 180 degrees.

Let's write an equation:

[tex]180=x+\frac{2}{3}x[/tex]

simplify

[tex]180=\frac{5}{3} x[/tex]

divide both sides by 5/3

108=x

So, x=108 degrees.

Hope this helps! :)

Answer:

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Step-by-step explanation:

SA=2B+Ph

Find the area of each face. Add up all areas.

Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

If you graph the difference, it is 4 inches since you are looking at the middle of the graph

Answer: 40 inches squared

Labels are in the pictures

Step-by-step explanation:

To find the surface area, find the area of each side.

Square (base) : side * side = 4*4 = 16

Triangle (sides) : (base * height)/2

Assuming each side is a isosceles triangle, the base 4/2 = 2

(2*6)/2 = 12/2 = 6

Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.

6*4 + 16 = 24+16 = 40

Answer:

Step-by-step explanation:

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 6.3 m x 27.3 m

Area = 171.99 m²

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 420.92 mm² / 27.4 mm

Height ≈ 15.35 mm

The perimeter of a rectangle is given by 2 times the sum of the base and height:

Perimeter = 2(base + height)

133.2 mm = 2(30.6 mm + height)

133.2 mm = 61.2 mm + 2 height

2 height = 133.2 mm - 61.2 mm

2 height = 72 mm

Height = 72 mm / 2

Height = 36 mm

To find the height of a parallelogram, divide the area by the base:

Height = Area / Base

Height = 645 m² / 61 m

Height ≈ 10.57 m

The perimeter of a parallelogram is the sum of all its sides:

Perimeter = 2(base + side length)

Perimeter = 2(32 cm + 34 cm) + 2(height)

Perimeter = 2(66 cm) + 2(19 cm)

Perimeter = 132 cm + 38 cm

Perimeter = 170 cm

To find the area of a parallelogram, multiply the base by the height:

Area = base x height

Area = 40 mm x 18 mm

Area = 720 mm²

The perimeter of a rectangle is given by the formula: Perimeter = 2(base + height)

Perimeter = 2(7.9 m + 8.8 m)

Perimeter = 2(16.7 m)

Perimeter = 33.4 m

To find the height of a rectangle, divide the area by the base:

Height = Area / Base

Height = 354 cm² / 23 cm

Height ≈ 15.39 cm

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 44 mm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 44 mm / 4

Side length = 11 mm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 11 mm x 11 mm

Area = 121 mm²

The perimeter of a square is 4 times the length of one side. Since the perimeter is given as 55 cm, we can divide it by 4 to find the length of one side:

Side length = Perimeter / 4

Side length = 55 cm / 4

Side length = 13.75 cm

To find the area of a square, multiply the side length by itself:

Area = side length x side length

Area = 13.75 cm x 13.75 cm

Area ≈ 189.06 cm²

Answer:

8 triangles

Step-by-step explanation:

Answer:

y=(x-2)^2 +4

y=1/4 x^2 +x-1

Answer: 36

Step-by-step explanation:

There are a total of 36 numbers, you can find that out by multiplying 6 x 6.

There is only 1 number pair can has a sum of 2 which is 1,1

Answer:

Step-by-step explanation:

Hi there,

We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.

White socks: 2 pairs x 2 = 4 total white socks

Black socks: 4 pairs x 2 = 8 total black socks

Blue socks: 1 pair x 2 = 2 total blue socks.

Now, you add up the total amount of individual socks in the drawer.

4+8+2 = 14 socks.

We are trying the find the probability that he is going to pick a black sock.  The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.

8 black socks  /  14 total socks

Now that we have this fraction, we need to simplify it.  The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).

What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.

I hope this helps, let me know if you have questions :)

Answer:

1) to work out the area of a parallelogram you need to do area= base x height.

6.3x27.3=171.99m^2

2) 420.92/27.4= 15.36mm to 2 decimal places

3) 133.2x30.6=4075.92mm^2

4) 651/61=10.57m to 2 decimal places

5) (32x2)+(34x2)=132mm

6) 40x18=720mm^2

7) (8.8x2)+(7.9x2)=33.4m

8)354/23= 15.39cm to 2 decimal places

9) 44/4=11

11x11=121mm^2

10)55/4=13.75

13.75x13.75=1890.0625cm^2

11) 43x18=774m^2

12) 25x35=875m^2

13)600/16=37.5m

14) 125-(40.5x2)=44.6

44.6/2=22.3

22.3x40.5=903.15cm^2

15) 64.3x4.3=276.49m^2

Step-by-step explanation:

Answer:

48cm

Step by step:

The area of a trapezoid can be found using the formula A=(1/2)(b1+b2)h, so we replace each variable with what is written on the trapezoid. A=(1/2)(7+9)(6), so once you simplify you get 48.

Answer:

The area of the Trapezium is 48cm².

Step-by-step explanation:

A trapezium has a pair of Parallel Lines.

Let’s mark the line that is on the top as A and the bottom one as B.

Length of line A (Base 1) = 7cm

Length of line B (Base 2) = 9cm

Height of Trapezium = 6cm

Area of Trapezium (Formula) = {( Base 1 + Base 2 ) / 2} * Height

                                                 = {( 7cm + 9cm ) / 2} * 6cm

                                                 = ( 16cm / 2 ) * 6cm

                                                 = 8 cm * 6cm

                                                 = 48cm²

The area of the Trapezium is 48cm².

Hope my answer helps you ✌️

Mark BRAINLIEST

Answer:

Q1: D

Q2: D

Q3: B

Step-by-step explanation:

Q1: It says it in the question.

Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.

Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.