Mr. Freeze is a freelance ice artist who creates ice sculptures. He is paid $30 per pound of ice he uses. Last week it took him 73 hours to sculpt 5 sculptures weighing a total of 530 pounds. Based on this, what is his approximate hourly wage?

Answer:

That first part equals 12.40  which is the answer to part B

Now for Part A

B and C equal 12.4

A, D and E equal 11.4

Step-by-step explanation:

Answer:

7.6 repeating or if you want the whole answer its 7.66666666667

Step-by-step explanation:

remember its always best to plug in your equation in the calculator after you answered the equation just to see if your answer is correct.

hope this helps :D

Answer:

its still 69 HA im joking its 7.66666666666

Answer: Add each side to get perimeter so your total is 38ft

Step-by-step explanation:

Answer: 36

Step-by-step explanation:

The surface area of the figure is found by multiplying the area of each face together.

Net Area Surface Area

24 cm²   22 cm³

Net Area: 24 cm²

Surface Area: 22 cm³ + 11 cm = 33 cm³.

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The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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Answer:

If the two polygons are similar, then their sides are proportianal.

We see that sides in the larger polygon are two times as long as the sides of the smaller polygon.

So, if the larger polygon has a side length of 13, then the smaller polygon would have a side length of 13/2, or 6.5

Let me know if this helps!

An absolute value is the numerical value of a number without consideration of its sign. It can be represented graphically by a straight line known as a number line. Absolute value equations are equations that include absolute values of variables or unknown quantities. The following are examples of how to write an absolute value equation in the form |x-c|=d to fit the provided solution sets:

Example 1:

Solution set: {x|x≤-3 or x≥1}
Absolute value equation: |x-(-1)|=4
Explanation: -1 is the midpoint of the two ranges (-3 and 1) in the solution set. |x-(-1)|=|x+1| is the absolute value expression for the midpoint -1. The distance d from -1 to the solutions' furthest endpoints, 1 and -3, is four, hence the value of d in the absolute value equation is 4.
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The average change as a simplified mixed number would be,

⇒ 1 3/4

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

We have to given that;

The running back for the Bulldogs football team carried the ball 7 times for a total loss of 12 1/4 yards.

Now, The average change as a simplified mixed number would be,

⇒ (12 1/4) / 7

⇒ (49/4) / 7

⇒ (49 / 4×7)

⇒ 7/4

⇒ 1 3/4

Therefore, The average change is,

⇒ 1 3/4

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Answer:

The Burnets spent .22 × $5,825 = $1,281.50 on taxes and insurance.

Answer:

264 more pens

Step-by-step explanation:

92 x 8 = 736

1000 - 736 = 264

Answer:

200 lbs.

Step-by-step explanation:

Divide mass value by 16 to convert oz to lbs.

3,200/16=200

The solution to the Question is given as

a)

Generally, the equation for  degrees of freedom is  mathematically given as

df= n-1

Therefore

df= 50-1

df= 49

b)

For the  critical value

Confidence interval= 95%

df= 49

Solving using a critical value  calculator we have

t critical value = 2.01

c)

In conclusion, The number of degrees of freedom for a collection of sample data is the number of sample values that are determined after certain restrictions have been imposed on all data values. Option D is correct

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To calculate the compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly, we need first to calculate the quarterly interest rate and the number of compounding periods.

Quarterly interest rate = Annual interest rate / 4

= 20% / 4

= 5%

Number of compounding periods = (Time in months) / (Number of months per compounding period)

= 9 / 3

= 3

Using the formula for compound interest:

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

where,

A = final amount

P = principal amount

r = annual interest rate

n = number of compounding periods per year

t = time in years

Plugging in the values, we get:

A = 16000(1 + 0.05/4)^(4*3/12)

A = 16000(1 + 0.0125)^1

A = 16000(1.0125)

A = 16180

Therefore, the compound interest on Rs 16000 at 20% per annum for 9 months, compounded quarterly is Rs 1800 (i.e., A - P = 16180 - 16000).

Answer: 9/12, 2/12

Step-by-step explanation:

Start by writing multiples of 6 and 4

4: 4, 8, 12

6: 6, 12, 18

Did you see the multiple that both numbers have? Yup, it's 12. So that has to be your denominator for both fractions. This is because you have to have the LEAST COMMON Denominator (LCD). So both numbers have 12 in common as one of their multiples and, it's the least common one because there are no numbers that come before it that are common for both numbers. Now, you just have to change the denominators of both fractions into 12. To do that to 3/4, just multiply the top and bottom by 3 to get 9/12. To do that to 1/6, just multiply the top and bottom by 2 to get 2/12.  Hope this helps!

NOTE: REMEBER THAT WHATEVER YOU DO TO THE TOP OF A FRACTION, YOU HAVE TO DO IT TO THE BOTTOM TOO (AND VICE VERSA)

1. We can measure the following two things:

(i) a person's height

(ii) the velocity required to reach Mars.

2. Everything involving a rocket launch needs to be extremely precise; otherwise, it could result in tragedy. However, anything involving a person's height won't result in disaster.

This can be solved using the concept of precision and uncertainty concept.

The accuracy of a material or substance is the distance or degree to which two or more measurements are near to one another. Every time a measurement is performed, a new result is obtained that falls within the uncertainty interval that surrounds the measured value.

1. We don't need to be very precise because we can measure a person's height with a modest degree of accuracy. The person hearing would get a notion of their height if we said, "That individual is roughly 5 feet tall."

On the other hand, if we estimate the rocket speed to Mars incorrectly, it would lead to tragedy in the future, hence we require great precision. In order to ensure that we strike the necessary objective in space, we apply intricate mathematics.

2.  Like we stated in problem 1, everything involving space travel needs extreme accuracy. The spaceship might crash and calamity could ensue if our estimates are incorrect. Engineers utilized the incorrect settings in the one instance where anything went wrong, causing the Mars lander to smash into the planet rather than securely land there.

Due to the enormous expense of these space exploration missions, it is imperative to obtain as many exact and accurate values as possible. Now, details like a person's height don't necessarily need to be accurate because we can just guesstimate a person's height depending on who we're speaking to.

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Here, we want to represent the total cost for the two-day field trip of the science club. if we let x be the number of members in the club, We then come up with the following expressions

For day 1:  $60+$20x

For day 2: $100+$17x

Therefore, the cost of c for the two-day field trip is just the sum of equations 1 and 2 that is,

C= Cost for day 1 + cost for day 2

C= $60+ $20x + $100+ 17x

combine like terms to get

$80+$117x

Answer:

true

Step-by-step explanation:

have a good day sorry if i am  wrong

can i please have a brainlliest

Answer:

Step-by-step explanation:

Wave length = speed / frequency

Wave length = 3x10^8 / 4.11x10^4

Wave length = 7.299x10^3nm

Answer:

u = 7

Step-by-step explanation:

Answer: x = $1.75

Step-by-step explanation:

Let's assume that the cost of each sparking plug is x dollars. Then, the cost of the fan belt is x + $1.75 since it costs $1.75 more than each sparking plug.

According to the problem, the total cost of four sparking plugs and a fan belt is $10.50. We can express this as an equation:

4x + (x + $1.75) = $10.50

Simplifying and solving for x, we get:

5x + $1.75 = $10.50

5x = $8.75

x = $1.75

Therefore, each sparking plug costs $1.75 and the fan belt costs $3.50 ($1.75 + $1.75).

13 is the greatest common divisor of 39 and 91.

\(13 \times 3 = 39 \\ \\ 13 \times 7 = 91\)

Answer:

  13

Step-by-step explanation:

39 = 3·13

91 = 7·13

The only common factor is 13.

  GCD(39, 91) = 13

The probability of getting 21, when first card is an ace and the second card is a queen = 0.024133.

The term blackjack means that you get a value of 21 with only two cards.

Number of cards in a deck of cards = 52

There are 4 types of cards in a deck of cards - spades, clubs, hearts, and diamonds, out of which spades and clubs are black in colour.

Given that first card is Ace and second one is a Queen.

Odds of getting an Ace are 4/52, odds of the next being Queen is 16/51.

P(blackjack)=4×16/(52/2).

where P is used for probability .

Probability: Probability is simply how likely something is to happen. Whenever we are unsure about the outcome of an event, we can talk about the probabilities of certain outcomes. The analysis of events governed by probability is called statistics.

Probability of getting an ace followed by a queen card: 4/52 * 16/51 = 0.024133.

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Answer:

The length would be 29.

Step-by-step explanation:

Follow the distance formula in the image.

-Hope this Helped

Answer:

\(\huge\boxed{\boxed{x=-10}}\)

Step-by-step explanation:

Hello.

The Distributive Property states that

a(b+c)=ab+ac

Simplify:

-1(4+x)=6

-4-x=6

Add 4 to both sides:

-4+4-x=6+4

-x=10

Divide both sides by -1 in order to get rid of the minus sign:

x=-10

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Answer:

52.5 inch square

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

The area of the regular pentagon with apothem 3.5 and side 6 is 52.5

In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.

Given the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.

In order to find the area, the formula to calculate the area of the regular pentagon is given by:

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

Now,

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)

\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)

\(\text{Area of pentagon} =52.5\)

Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5

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The number of cannonballs in illustration is 506.

Math Illustrations enables you to produce more useful geometry figures for your students in less time by fusing the constraint-based design of Geometry Expressions with simple-to-use sketching and graphing features.

The number of cannonballs in the first layer = 1² = 1

Number of cannonballs in the second layer = 2² = 4

Number of cannonballs in the third layer = 3² = 9

So, the generalized formula to count the balls is given as

= n(n + 1) (2n + 1)/ 6

Here, n= the total number of layers

Put n =11

11(11 + 1)(2(11) + 1) / 6

= 11(12)(23)/6

= 3036/6
= 506

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