You win the lottery and decide to impress your friends by exhibiting a million-dollar cube of gold. At the time, gold is selling for $1282 per troy ounce, and 1.0000 troy ounce equals 31.1035 g. How tall would your million-dollar cube be?

Answer:

-15 = v

Step-by-step explanation:

-8=v/3-3

Add 3 to each side

-8+3=v/3-3+3

-5 = v/3

Multiply each side by 3

-15 = v

Answer: v=-15

Step-by-step explanation:

Given

-8=v/3-3

Add 3 on both sides (addition property of equality)

-5=v/3

Multiply 3 on both sides (multiplication property of equality)

v=-15

Hope this helps!! :)

Please let me know if you have any question

Answer:

2. Kayla's opportunity cost to go to the movie is $9.50

4. Tara's total cost of attending the movie is $50.5

Step-by-step explanation:

Complete question below:

Tara earns $8.50 an hour (after taxes) at the pizza place. She is scheduled to work four hours this afternoon. However, her friend Kayla called and asked her if she wants to go to the movie. A ticket to the movie costs $9.50. In addition, she always spends about $7 on snacks.

Which of the following statement are true? Select all that apply.

1. Tara's opportunity cost if she goes to work instead of the movie is $34.

2. Kayla's opportunity cost to go to the movie is $9.50.

3. There is no opportunity cost for Tara to go to the movie.

4. Tara's total cost of attending the movie is $50.5

5. Tara's opportunity cost if she goes to the movie instead of working is $34

Solution

Tara earns $8.50 per hour

She is scheduled to work for 4 hours

Total earnings=$8.50 × 4

=$34

Tara's opportunity cost of attending the movie instead of working is $34

Since, a ticket cost $9.50

And she always spend about $7 on snacks

Tara's total cost of going to the movies = opportunity cost of attending the movie + cost of tickets + cost of snacks

=$34 + $9.50 + $7

=$50.5

Opportunity cost refers to the cost of satisfying a want at the expense of another want. It can also be called REAL COST or TRUE COST.

Therefore,

2. Kayla's opportunity cost to go to the movie is $9.50

4. Tara's total cost of attending the movie is $50.5

2 and 4 are the answers

Answer:

not a function

Step-by-step explanation:

This is not a function

The input 2 goes to two different outputs

2 goes to the output of 4 and the output of 0

This makes it a relation and not a function

Step-by-step explanation:

Using distance formula:

√(5 - 9)² + (-3 - 2)²

√(-4)² + (-5)²

√16+25

√41

Answer:

12 1/9 is your answer.

Step-by-step explanation:

Since 7+5 is 12 you got your first part. Now you have to find a thing that matches which is 1/9

Answer: 2079

Step-by-step explanation: 11 x 9 x 3 x 7 = 2079, there are 2079 possible combinations of outfits

Using the Fundamental Counting Theorem, it is found that 2079 different outfits can be made.

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem, considering the options, we have that [tex]n_1 = 11, n_2 = 9, n_3 = 3, n_4 = 7[/tex].

Hence, the total number of options is given by:

N = 11 x 9 x 3 x 7 = 2079.

More can be learned about the Fundamental Counting Theorem at https://brainly.com/question/24314866

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Answer:

(6b + 5)(b + 1).

Step-by-step explanation:

6b² + 3b + 8b + 5​

= 6b^2 + 11b + 5

= 6b^2 + 6b + 5b + 5

= 6b(b + 1) + 5(b + 1)     b + 1 is common so:

= (6b + 5)(b + 1)

Answer:

( 6b + 5 ) ( b + 1 )

Step-by-step explanation:

6b² + 3b + 8b + 5​

6b²+ 11b + 5

6b²+ 5b + 6b + 5

( 6b + 5 ) ( b + 1 )

Answer:

a and c

Step-by-step explanation:

a. 9=x

b.2x-12=2x-12   ims

c.3x+6=2x-5

3x+11=2x

11=-1x

-11=x

d. ims

Answer:

Yes! It can

[tex]Fraction=4\frac{7}{10}[/tex]

Decimals can convert into fractions!

4 is the whole number

.70 is

70 out hundredths

7/10 or 7/100

So the fraction would be

[tex]4\frac{7}{10}[/tex]

Hope this helps!

[tex]Fishylikeswater[/tex]

Answer: 4 and 7/10

Step-by-step explanation: Using the place value chart below,

we can see that 4.7 means four and seven tenths.

This can be written as the mixed number 4 and 7/10.

Answer:

21.5

Step-by-step explanation:

Counting the full squares: 16

Counting the squares that are more than 1/2:  6

The best estimate would be 21.5

Answer:

a

Step-by-step explanation:

in a depression inflation is most likely to decrease

Answer:

The correct answer is A. True

Step-by-step explanation:

Answer:

79

Step-by-step explanation:

To find the value of [tex] 10x^2 – 7x + 10 [/tex], when x = 3, simply plug in the value of x in the expression and solve as follows:

[tex] 10(3)^2 – 7(3) + 10 [/tex]

[tex] 10(9) – 21 + 10 [/tex]

[tex] 90 – 21 + 10 [/tex]

[tex] 79 [/tex]

The value of [tex] 10x^2 – 7x + 10 [/tex], when x = 3, is 79

Answer:it's 79 or 49

q

Step-by-step explanation:



Answer:

-(-45) and -|45|

Step-by-step explanation:

Opposite of a number can also me termed the conjugate of such number. For example, the conjugate (opposite) of a is -a.

Also any value in the modulus sign can either be a negative or positive value. For example |a| can be +a or -a.

According to the question, we are to find the numbers that are equivalent to opposite of -45 i.e which of them are conjugate of -45.

To do this, we are to select the values in the options that will return +45.

Let's look at each option.

For -(-45):

Since the product of two negative sign will give a positive(+), then -(-45) = +45 and hence the value is opposite of -45

For -45:

-45 is a negative value and can never be positive since 45 is not inside a modulus sign. Hence, -45 is not equal to opposite of -45.

For −|−45|, |-45| can only return a positive value since -45 is already in a modulus sign. What the modulus sign will do is convert it to positive value i.e |-45| = 45. Hence -|-45| ≈ -(45) which is not also equivalent to the opposite of-45.

For -|45|:

The value inside modules will return both +45 and -45, hence it can be written as -|45| = -(-45) = +45. This shows that -|45| is also equivalent to the opposite of -45.

Answer:

-(-45) and -|45|

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The question is incomplete. Here is the correct question.

If NL = 13, find NM. NM = X+15 ML = 2x+34

Using vector notation, NL = NM+ML

Substituting the given parameters into the equation;

13 = x+15+(2x+34)

13 = x+15+2x+34

Collect like terms.

x+2x+15+34 = 13

3x+49 = 13

3x = 13-49

3x = -36

x = -12

Given NM = x+15 and x = -12

NM = -12+15

NM = 3

Answer:

Step-by-step explanation:

The length is x2 while the width is x1.5

Therefore it cannot be a scaled copy

Answer: It is not scale copy (given)

Step-by-step explanation:

Rectangle B: 15 by 10

Rectangle C: 30 by 15

-------------------------------------

First way: Compare the ratio among themselves

Rectangle B: 15:10=3:2

Rectangle C: 30:15=2:1

Apparently, the two side ratios are not the same, thus it is not scale copy

--------------------------------------

Second way: Compare the ratio between the two.

Length: Rectangle B:Rectangle C=15:30=1:2

Width: Rectangle B:Rectangle C=10:15=2:3

1:2≠2:3

Thus, Rectangle C is not a scaled copy of Rectangle B

Answer:

None of them are

(4,-4)

Step-by-step explanation:

To find the value of x make y =0 then substitute into the formula. Therefore 0 = x-4 then make x the subject by adding 4 to the other side 4+0=x.

Then to find the value of y make x=0 then substitute it into the formula y=0-4 which is equal to - 4

I hope this helps

Answer:

Laser Disk, Digital Recording

Step-by-step explanation:

Answers:

For each row, you're adding the values of 'a' and 'b'. The first row has 1+2 = 3.

When adding two negatives, add the positive versions of each number, then make the result negative. So -1 + (-2) can be thought of as 1+2 = 3, then you make everything negative.

When adding a negative to a positive, you'll subtract the positive version of each number. The final result is positive if the larger absolute value is positive, or otherwise it's negative. We have -4+1 that can be thought of as 4-1 = 3, but since the '4' is larger and it is negative, this means -4+1 = -3.

Hi there! :)

Answer:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

Use the Pythagorean theorem to solve for the side-length of DC. Let "s" represent the side-lengths:

s² + s² = 26

2s² = 26

Divide both sides by 2 to simplify:

s² = 13

Take the square root of both sides:

s = √13 ≈ 3.61 cm.

------------------------------------------------------------------------------------------

Calculate the shaded region by subtracting the area of the arc from the area of the square. DC represents the radius of the circle that the arc is apart of. Therefore:

Area of arc AC = 1/4 (πr²)

Solve for the area:

AC = 1/4 (π · (3.61)²)

AC = 1/4 (40.92)

AC = 10.23 cm²

Subtract this area from the area of the square (A = s²)

A = (√13)²

A = 13 cm²

13 - 10.23 = 2.77 cm²

Therefore, the solutions are:

(a) ≈ 3.61 cm.

(b) = 2.77 cm².

Answer:

7°F

Step-by-step explanation:

We have the following information from the question;

Morning temperature = -10°F

Increase in temperate = 17°F

Afternoon temperature = the unknown

Since;

Increase in temperature = Afternoon temperature - morning temperature

Then;

Afternoon temperature = increase in temperature + morning temperature

Afternoon temperature = 17°F + (-10°F)

Afternoon temperature= 7°F

Answer:

7

Step-by-step explanation:

Your welcome!

Answer:

D. 16

Step-by-step explanation:

[tex] GH^2 = GF \times GE[/tex]

[tex] 12^2 = 9 \times (9+x - 2)[/tex]

[tex] 144= 9 \times (7+x)[/tex]

[tex] \frac{144}{9}= (7+x)[/tex]

[tex] 16= 7+x [/tex]

[tex] 16-7=x [/tex]

[tex] 9=x [/tex]

GE = 9 + x - 2 = 9 + 9 - 2 = 18 - 2

GE = 16

Answer:

D.16

Step-by-step explanation:

GE × GF = GH^2

9 × (9 + x - 2 ) = 12^2

63 + 9x = 144

9x = 81

x = 9

so, GE = 9 + x - 2

= 7 + 9

= 16

Answer:

A) 12x + 10y

B) 118cm

Step-by-step explanation:

A) A fórmula para calcular o perímetro de um retângulo é dada como:

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

Onde

L = comprimento do retângulo

W = largura do retângulo

A) A pergunta nos diz que:

O comprimento de um retângulo é 6x e sua largura é 5y.

A expressão algébrica que representa o perímetro do retângulo =

Perímetro de um retângulo = 2 (L + W)

= 2L + 2W

L = 6x, W = 5y

= 2 (6x) + 2 (5y)

= 12x + 10y

A expressão algébrica que representa o perímetro do retângulo é

P = 12x + 10y

B) Se x = 4 cm e y = 7 cm, qual é o valor numérico desse perímetro.

P = 12x + 10y

x = 4cm

y = 7cm

Perímetro = 12 (4) + 10 (7)

Perímetro = 48cm + 70cm

Perímetro do retângulo = 118cm

Portanto, o valor numérico do perímetro é 118cm

Answer:

See below (I hope this helps!)

Step-by-step explanation:

Because odd numbers are always 1 greater than even numbers, we can call the two odd numbers x + 1 and y + 1 where x and y are even integers. Multiplying the two gives us:

(x + 1) * (y + 1)

= x * y + x * 1 + 1 * y + 1 * 1

= xy + x + y + 1

We know that x * y will be even because x and y are also even and the sum of two even numbers will be even, and we also know that x and y are even and that 1 is odd. Since the sum of even and odd numbers is always odd, the product of any two numbers is always odd.

*NOTE: I put a limitation on x and y in my proof (the limitation was that x and y must be EVEN integers) but you don't have to do that, you could make the odd integers 2x + 1 and 2y + 1 where x and y could be any integer from the set Z like mirai123 did. I simply gave this proof because it was the first thing that came to mind. While mirai123's proof and mine are different, they are still both correct.

Answer:

Prove that the product of any two odd numbers is always odd.

Examples:

[tex]3 \cdot 7 = 21 \text{ } \boxed{\text{odd}}\\5 \cdot 9 = 45 \text{ } \boxed{\text{odd}}\\83 \cdot 3 = 249 \text{ } \boxed{\text{odd}}[/tex]

Defining an odd number as:

[tex]u= 2k+1, k \in \mathbb{Z}[/tex]

[tex]u \cdot u = (2k+1)(2k+1)= 4k^2+4k+1[/tex]

[tex]\text{Is } \boxed{4k^2+4k+1} \text{ odd?}[/tex]

Yes, it is, because [tex]4k^2 \text{ and } 4k \text{ will always be even considering } k \in \mathbb{Z}[/tex]

An even number plus one is an odd number.

Answer:

trinomial

Step-by-step explanation:

Given polynomial has three terms, therefore it is a trinomial.

Answer:

[tex] {x}^{2} + 0x + 1[/tex]

Step-by-step explanation:

[tex]for \: g (fx) \:the \: function \: of \: f \: is \: inserted \: into \: the \: x \: for \: the \: g[/tex]

So the eqn becomes

[tex] ({x}^{2} - 1) + 2[/tex]

AND this equal to

[tex] {x}^{2} + 1[/tex]

Hence the variable x has 0 as its coefficient.

Answer-

B) Plane and line

The pair which is undefined terms are used to define the term parallel lines is B. plane and line

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect.

Properties of Parallel Lines

Corresponding angles are equal. Vertical angles/ Vertically opposite angles are equal. Alternate interior angles are equal. Alternate exterior angles are equal.

My dog not only likes to play fetch but also chase cars. Parallel: My dog not only likes to play fetch, but he also likes to chase cars. My dog likes not only to play fetch but also to chase cars. When you connect two clauses or phrases with a word of comparison, such as than or as, use parallel structure.

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Answer:

Yes.

Step-by-step explanation:

Whenever a parallelogram Has a 30 degree angle it always has a 150 degree angle, because the sum of quadrilaterals (a parallelogram is a quadrilateral in which each pair of opposite sides is parallel) is 360 and each angle is equal to the opposing one so if you were to have 150^2 that would equal 300 and 30^2 would equal 60, so therefore it’s equals 360.

I hope this was explained thoroughly enough.

Answer:

Rational+irrational =irrational is your answer.

Step-by-step explanation:

Hope it will help you :)

Answer:

The square root of 180 is:

13.416407865

So yes the square root of 180 IS between 13 and 14

Answer: 1.5 cakes per hour