A small bar of gold measures 40mm by 25mm by 2mm. One cubic millimeter of gold weighs about 0.0005 ounce. Find the voulme in cubic millimeters and the weight ounces of the small bar of gold.

Answer:

X=-2

Step-by-step explanation:

You start with adding 7 to the side with -9 to get the (x) alone. Then you have x=-2.

Answer:

x = -2

Adding two negative numbers is easy: you're just adding two "negative" arrows, so it's just like "regular" addition, but in the opposite direction. For instance, 4 + 6 = 10, and –4 – 6 = –4 + (–6) = –10.

The factors of the given expression are 5x², (x - 2), and (x - 2).

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

It is given that the polynomial expression 5x⁴ – 20x³ + 20x²

It is required to find its factor.

We have a polynomial expression let's denote it with f(x)

f(x) = 5x⁴ – 20x³ + 20x²

taking 5x² common

f(x) = (x²-4x +4)  5x²

from the formula (a -b)² = a² +b² -2ab

f(x) = (x -2)²*5x²

Thus, the factors of the given expression are 5x², (x - 2), and (x - 2).

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Answer:

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Step-by-step explanation:

The directrices of an ellipse are defined by

[tex]x=(+-)\frac{a}{e}[/tex]

Where [tex]a >b[/tex], and [tex]e[/tex] is the eccentricity defined by [tex]e=\frac{c}{a}[/tex]

So, in the first choice, we have the equation

[tex]\frac{x^{2} }{4}+\frac{y^{2} }{1} =1[/tex]

Where [tex]a^{2}=4[/tex] and [tex]b^{2}=1[/tex], which means [tex]a=2[/tex] and [tex]b=1[/tex].

In an ellipse, we have the relation

[tex]c^{2}=a^{2}-b^{2}[/tex]

Replacing values, we have

[tex]c^{2} =4-1=3\\c=\sqrt{3}[/tex]

So, the eccentricity is [tex]e=\frac{\sqrt{3} }{2}[/tex] and the directrices are [tex]x=(+-)\frac{2}{\sqrt{3} }[/tex], which means the first choice is not the right answer. In other words, the right answer is the second choice, because third and fourth choices don't represent an ellipse, both fractions must be positive in that case.

Therefore, the right answer is

[tex]\frac{x^{2} }{1} +\frac{y^{2} }{2}=1[/tex]

Answer:

OPTION B IS CORRECT

Step-by-step explanation:

FOR A VERTICAL ELLIPSE a IS ALWAYS LARGER THAN b AND a is always right under y-squared in the equation.

Answer:

Ms. Burns would need 7 cups of flour and 1 1/2 cups of sugar.

Step-by-step explanation:

I MULTIPLIED each fraction by 2.

Answer: 7 cups of flour 1 1/2 cups of sugar

Step-by-step explanation:

Glad to help

Answer:

It is a biased because he only asked the people who left band class. He wanted the people of band class to represent his entire school's opinion. Besides, the students of that class are limited number. If he randomly asked the question, the people chosen would be of any gender, class, etc. and its all random.

Final answer:

To find out how much money will be in the account after 8 years with $200 initial investment and a 3% interest compounded monthly, use the compound interest formula A = P(1 + r/n)^(nt). The calculation results in approximately $256.67 in the account after 8 years.

Explanation:

To calculate how much money will be in the savings account after 8 years with an initial investment of $200 and a 3% interest rate compounded monthly, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

In this case, P = $200, r = 0.03, n = 12 (since interest is compounded monthly), and t = 8.

The formula becomes:

A = 200(1 + 0.03/12)^(12*8)

Calculating this we get:

A = 200(1 + 0.0025)^(96)

A = 200(1.0025)^96

A = 200(1.283362)

A ≈ $256.67

After 8 years, the savings account will have approximately $256.67.

Answer:

It's the first answer. Remember, equations like that are always y=mx+b. Y is whatever y value, m is the slope, x whatever the x value is. b is the y intercept (the y value when x equals 0). In this case, you can tell that 1/2 and 2 are the m, m is slope, so the first option should be correct.

Answer:

x=0

Step-by-step explanation:

2x-6+9=3x+3+x

2x+3=4x+3

2x=4x

2x-4x=0

-2x=0

x=0

Answer:

$128.73

Step-by-step explanation:

78 + 25 + 13.73 + 12= 128.73

Answer:

Option (3) is the answer.

Step-by-step explanation:

Given question is incomplete; find the complete question in the attachment.

Jewelry made by Nala is a composite figure having three fourth of a circle and two sides of a square.

Perimeter of the whole figure will give us the length of wire needed to design the jewelry.

Perimeter of three fourth of a circle P(circle) = [tex]\frac{3}{4}(2\pi r)[/tex]

Here, r = radius

P(circle) = [tex]\frac{3\pi (3)}{2}[/tex]

             = 14.14 cm

Perimeter of the complete (composite) figure = 14.14 + 3 + 3

                                                                            = 20.13

                                                                            ≈ 20.1 cm

Therefore, Option (3) is the answer.

Answer:

All of them

Step-by-step explanation:

x² - x - 2

(x + 1)(x - 2)

x² + x - 2x - 2

x² - x - 2

(x - 0.5)² - 2.25

x² - 2(x)(0.5) + 0.5² - 2.25

x² - x + 0.25 - 2.25

x² - x - 2

Answer:

Vertical angles

Step-by-step explanation:

Answer: Vertical angles

Step-by-step explanation:

Pair of opposite angles made by two intersecting lines

Answer:

6 and 3/250

Step-by-step explanation:

The whole number part is 6, obviously

Then you have the fraction part, which in decimal form is 0.012 which is 12 thousandths which is 12/1000.

Simplify by dividing both the num. and denom. by 4 and you get 3/250. ;p

Answer:

6 3/250

Step-by-step explanation:

Answer:

B. 12m + 6

Step-by-step explanation:

Just distribute the 3 to both 4m and 2.

Answer:

B. 12m + 6

Step-by-step explanation:

Because there is a three, we must do three times both of the terms:

(3 x 4m) + (3 x 2)

When you do it, we get:

12m + 6

We cannot simplify it any further, so 12m + 6 is out final answer.

Hope this helped :]

Answer:

A = 38°

B = 50.32°

C = 91.68°

a = 8

b = 10

c = 12.77

Step-by-step explanation:

The first thing is to find the angle B, like this:

sin B = b * sin A / a = 10 * sin (38 °) / 8

sin B = 0.77

B = arc sin (0.77)

B = 50.32 °

For angle C, it would be:

C = 180 - 38 - 50.32

C = 91.68 °

Side c, we calculate it like this:

c = a * sin C / sin A = 8 * sin (91.68 °) / sin (38 °)

c = 12.77

Answer:

c

Step-by-step explanation:

the like terms are 5x and 2x

The like terms in the given equation are 5x and 2x. Therefore, option C is the correct answer.

Like terms are those terms whose variables and their exponent power are the same. The coefficient of these variables can be different. Algebraic-like terms are terms that are similar to each other.

The given equation is 5x+3y+2x+3z=27.

In the given equation like terms are 5x and 2x and unlike terms are 3y and 3z.

Therefore, option C is the correct answer.

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Answer:

[tex]\frac{1}{25}[/tex]

Step-by-step explanation:

if the picture shows 4 blue, 3 green, 5 red, and 3 yellow tiles, then the total amount of tiles is 15. Divide the number of yellow tiles by the total tiles. Remember the tile is replaced, so there will be the same 15 tiles in the bag with the same probability.

[tex]\frac{3}{15} *\frac{3}{15} = \frac{9}{225}=\frac{1}{25}[/tex]

Answer:

D and B

Step-by-step explanation:

Answer:

6y3+17y2+22y+15

Step-by-step explanation:

Answer:

6y³ + 17y² + 22y + 15

Step-by-step explanation:

(2y+3) ( 3y² +4y+5)

Keep the 'FOIL' method (first, outside, inside, last) when distributing and you'll end up with

(2y)(3y² ) + (2y)(4y)  +(2y)(5 ) +(3)(3y2) + (3)(4y) + (3)(5)

Now, multiply each set to get

6y³+8y²+10y+9y²+12y+15

From there, just simplify/combine like terms (8y² + 9y² and 10y + 12y) to get your final answer: 6y³ + 17y² + 22y + 15

Answer:

Two more (+2) than three times (3) the difference between eight and a number (8-n)

Step-by-step explanation:

hope this helps

Final answer:

There are 45 students in the class.

Explanation:

If 18 girls represent 40% of a class, we can calculate the total number of students in the class using the concept of percentages. To find the total number of students, we set up a proportion, which is an equation that says two ratios are equivalent.

We know that 18 girls are to 40% what the total number of students is to 100%, since 100% would be the whole class.
We can express this relationship with the equation:

18 (number of girls) / (total number of students) = 40% / 100%
Using cross-multiplication, we can find the total number of students:
18 / x = 40 / 100
x = (18 * 100) / 40
x = 1800 / 40
x = 45
So, there are 45 students in the class list.

Answer:

32%

Step-by-step explanation:

25 - 17 = 8

8/25 x 100% = 32%

Answer:

32

Step-by-step explanation:

ed 2020

To solve the equation 1.75n = 7, divide both sides by 1.75 to isolate n, which simplifies to n = 4. Therefore, the value of n is 4.

To solve the equation 1.75n = 7 for the value of n, you need to isolate n. This can be accomplished by dividing both sides of the equation by 1.75, the coefficient of n.

Here are the steps:

Answer:

Jerry  is correct

Step-by-step explanation:

[tex]8^{x} = 512[/tex]

this equation is asking 8 to what power is 512

Emma said the solution is x=3. Her explanation is 8 x 3 which would equal 24. This is not the correct answer.

Jerry's solution  is x = 3. His explanation is 8 x 8 x 8 which would equal 512. This is the correct answer.

Mel's solution is x = 8. Her explanation is 8 x 3 which equals 24. This is not the correct answer.

Victoria's solution is x = 8. Her explanation is 8 x 8 x 8 which would equal 512. However, her explanation is correct, her solution is not. [tex]8^{8} = 16777216[/tex]. That is what her solution is saying.

Answer:

40

Step-by-step explanation:

To solve this, divide the number of guests by the number of guests that can be seated at each table.

325/8 = 40 with a reminder of 5

This means that 40 tables will be completely full while one table has only 5 people

Answer:

Dive by n square root two, also option one.

Step-by-step explanation:

The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.

Hoped that helped :)

Answer:

Step-by-step explanation:

the answer is basically 4.5% and the 6%

Answer:

it's the 2 year loan is 4.5%

Answer:

18 would be the GCF.

Step-by-step explanation:

18 | 36

6 |  18

36/2 = 18.

Answer: The probability is 0.5

Step-by-step explanation:

The probability will be equal to the quotient between the area of region II, and the total area of the board (supposing that the probability of hitting in any place is equal)

The total area of the figure is equal to

Area = (15' + 35')*(8' + 20') = 50'*28' = 1400 in^2

Now, the area of region II is:

Region II = 20'*35' = 700

Then the probability is:

P = 700/1400 = 1/2 = 0.5