What is the volume of a sphere with a radius of 4 cm? Use 3.14 for pi. Round to the nearest hundredth. 50.24 cm³ 66.99 cm³ 200.96 cm³ 267.95 cm³

Answers

Answer 1

Answer:

Answer:

Volume: 267.95 cm³

Step-by-step explanation:

Volume of Sphere

: $(4)/(3)\pi r^(3)\n= (4)/(3)\pi 4^(3)\n= (4)/(3)\pi(64)\n= (4)/(3)(3.14)(64)\n= (4)/(3)(200.96)\n= (803.84)/(3) = 267.946$

Rounding to nearest hundreth: 267.95

Answer 2

Answer:

Answer:

267.95

Step-by-step explanation:

Just use the formula, 4/3πr³

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What is the slope of the line that has the equation 4x+2y=12

Answers

Subtract 4x from each side:
4x-4x+2y=-4x+12 collect like terms:
2y=-4x+12 divide each term by 2
y=-2x+6 so the slope is -2 hope this helps:)

12x a y b ÷ (-6x a y)

Answers

Answer:

$(12xay)/(-6xay) \n$ = -2b is the answer

Step-by-step explanation:

$(12xay)/(-6xay) \n$

here we can see that we can cancel common terms from both numerator and denominator . 12 is divided by 6 we get 2 and x ,a and y are cancelled from the denominator .Only b is left in the numerator .

so final answer is -2b.

12x a y b ÷ (-6x a y)
Answer is -2b

The temperature at 5pm is 20F. The temperature at 10pm is -5F. How many degrees did it fall?please show work

Answers

Change in temperature = Final temp. - Initial temp.
⇒ -5 - 20 = -25 F

So, Temperature fall be 25 degree. [ -ve sign shows temperature fall]

Hope this helps!

Simplify the rational expressions into lowest forms. (x²-5x)/(2x-10)

Answers

Answer: $(x)/(2)$

Step-by-step explanation:

In order to simplify, I want to see if there is anything we can factor out.

$(x^2-5x)/(2x-10)$ [factor out x in numerator and factor out 2 in denominator]

$(x(x-5))/(2(x-5))$ [notice that there is (x-5) in numerator and denominator, these divide to equal 1]

Therefore the remaining expression is $(x)/(2)$ .

Final answer:

The question involves simplifying a rational expression. This is done by factoring the numerator and denominator, then cancelling out common factors. The simplified form of (x²-5x)/(2x-10) is x/2.

Explanation:

The process of simplifying rational expression such as (x²-5x)/(2x-10) involves factoring both the numerator and the denominator and cancelling out any common factors. Therefore, in this case:

Factor the numerator: x² - 5x = x(x - 5)
Factor the denominator: 2x - 10 = 2(x - 5)
Next, as both expressions have a common factor of (x - 5), cancel these out.

So, the simplified expression is x/2.

Learn more about Simplifying Rational Expressions

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A hot dog vendor has determined that the number of hot dogs he sells per day is inversely proportional to the price he charges. The vendor wants to decide if increasing his price by 55 cents will drive away too many customers. On average, he sells 200 hot dogs a day at a price of $3.85 per hot dog. How many hot dogs can he expect to sell if the price is increased by 55 cents? Round your answer to the nearest hot dog.

Answers

Answer:

175 hot dogs

Step-by-step explanation:

The new price will be $3.85 + 0.55 = $4.40. Since the price has increased by a factor of 4.40/3.85 = 8/7, the number of hot dogs sold, which is inversely proportional, will be ...

(7/8)·200 = 175 . . . hot dogs sold at the higher price

Final answer:

The vendor can expect to sell approximately 233 hot dogs if the price is increased by 55 cents.

Explanation:

To determine how many hot dogs the vendor can expect to sell if the price is increased by 55 cents, we can use the inverse proportionality relationship between the number of hot dogs sold and the price charged.

First, let's set up a proportion with the initial price and number of hot dogs sold:

$3.85 / 200 = (new price + $0.55) / x

Next, we can cross multiply and solve for x:

x = (200 * ($3.85 + $0.55)) / $3.85

Calculating this expression gives us a value of x ≈ 233.77.

Since the number of hot dogs sold must be a whole number, we round down to the nearest whole number, giving us an estimated value of 233 hot dogs.