The picture below shows a container that Rene uses to freeze water: A cylinder is shown with base diameter of 6 centimeters and the height as 8 centimeters. What is the minimum number of identical containers that Rene would need to make 2000 cm3 of ice? (Use π = 3.14.)
The cylinder has base diameter of 6 centimeters and the height, [tex] h [/tex], of 8 centimeters.
Since the base diameter of the cylinder is 6 cm, therefore, it's radius, [tex] r [/tex], will be 3 cm.
Now, we know that the volume, [tex] V [/tex], of such a cylinder will be:
[tex] V=\pi r^2h [/tex]
Plugging in the values given we get the volume to be:
[tex] V=\pi(3)^2\times 8=3.14\times9\times8=226.08 [/tex] [tex] cm^3 [/tex]
Since Rene needs to make 2000 [tex] cm^3 [/tex] of ice and one cylinder's volume is 226.08 [tex] cm^3 [/tex], Rene would need...
[tex] \frac{2000}{226.08}\approx8.846\approx\boldsymbol{9} [/tex] such identical cylindrical containers.
Final answer:
To make 2000 cm3 of ice, Rene would need a minimum of 9 identical containers, given the volume of one container is 226.08 cm3.
Explanation:
To determine the number of identical cylindrical containers needed to make 2000 cm3 of ice, we must first calculate the volume of one container. Given that the diameter of the base is 6 centimeters, the radius (r) is half of that, which is 3 centimeters. We're also given the height (h) of 8 centimeters. We can use the formula for the volume of a cylinder, V = πr2h.
Plugging in the values, we get:
V = 3.14 × (3 cm)2 × 8 cm
which simplifies to V = 3.14 × 9 cm2 × 8 cm = 226.08 cm3.
Now we can divide the total volume of ice Rene wants to make by the volume of one container:
2000 cm3 ÷ 226.08 cm3 = approx 8.85.
Since Rene cannot use a fraction of a container, she would need a minimum of 9 identical containers to make at least 2000 cm3 of ice.
Which of the following equations will produce the graph shown below?
Answer:
Option: A is the correct answer.
The equation of parabola is:
[tex]x^2=8y[/tex]
Step-by-step explanation:
Clearly we could observe that the parabola opens upward with vertex at (0,0) this means that the general equation of the parabola is:
[tex]x^2=4ay[/tex]
The focus of parabola is: (0,a) and equation of directrix is: y= -a
From the image provided to us we get:
a=2
and directrix is: y= -2
Hence, the equation of a parabola is:
[tex]x^2=8y[/tex]
Stella divides 12/8 on her calculator and gets 1.5. Assuming that Stella has not adjusted the calculator's settings, what do the displayed digits tell you about the answer?
A) Stella made an error.
B) The answer is exactly 1.5.
C) The calculator rounded the answer.
D) The calculator truncated the answer.
Stella divided 12/8.
If we divide 12 by 8, we get exactly 1.5.
Let us check given options one by one .
A) Stella made an error : Stella didn't made an error because it's just division of two numbers.
B) The answer is exactly 1.5. : On dividing 12 by 8, we get exactly 1.5, so this option is correct.
C) The calculator rounded the answer. : On dividing 12 by 8, we get exactly 1.5. So, no rounding is required.
D) The calculator truncated the answer. : On dividing 12 by 8, we get exactly 1.5. So, no truncation in the answer.
Therefore, correct option is B) The answer is exactly 1.5.
What is the difference between the most expensive item and least expensive item on the menu, including 6% tax and 15% tip, to the nearest cent?
Imported Asset
Question options:
$4.23
$4.36
$5.45
$5.49
You have a $20 bill. You and your friend ordered two roast beef wraps, one soup, one fries, and two coffees. If the tax is 5% and the tip is 15%, what change did you receive back from the $20? Imported Asset
Question options:
$5.45
$1.45
$3.38
$2.54
Part A:
The most expensive item on the menu is roast beef wrap at $4.50
6% tax on it becomes: [tex]4.50+(0.06\times4.50)=4.77[/tex] dollars
15% tip on it becomes: [tex]4.77+(0.15\times4.77)=5.485[/tex] dollars
The least expensive item on the menu is coffee at $0.90
6% tax on it becomes: [tex]0.90+(0.06\times0.90)=0.954[/tex] dollars
15% tip on it becomes: [tex]0.954+(0.15\times0.954)=1.097[/tex] dollars
So, the difference between roast beef wrap and coffee cost is :
[tex]5.485-1.097=4.388[/tex] dollars nearest to $4.36
Option B is the answer.
Part B:
You and your friend ordered two roast beef wraps, one soup, one fries, and two coffees.
Total becomes:
[tex](2\times4.50)+(2.25)+(1.50)+(2\times0.90)[/tex]
= [tex]9+2.25+1.50+1.8=14.55[/tex] dollars
Sales tax of 5% and 15% tip means 20% more on $14.55
[tex]14.55+(0.20\times14.55)=17.46[/tex] dollars
Change you will receive = [tex]20-17.46=2.54[/tex]dollars
Option D is the answer.
Write a point-slope equation for the line that has slope 4 and passes through the point (11,7). Do not use parentheses on the y side.
In the equation 2x - y = 4, the x-intercept is 2 and the y-intercept is -4.
simplify the expression 36^1/2
how do you solve #3?
Solve the equation for x:
-4 + 8c - 8x = x + 3 + b please i need help!
You spin the spinner shown. Find the sample space for this experiment.
A soccer field is 100 yd wide and 130 yd long. find the length of the diagonal of such a field. give an exact answer as a radical expression and an approximation to three decimal places.
Answer:
10√269 ≈ 164.012 yd
Step-by-step explanation:
You want the length of the diagonal of a 100 yd by 130 yd soccer field.
Pythagorean theoremThe diagonal of the field is the hypotenuse of the right triangle created by that diagonal and the sides of the field. The length of the hypotenuse is given by the Pythagorean theorem.
c² = a² +b²
c² = 100² +130² = 10,000 +16,900 = 26,900
c = √26900 = 10√269 ≈ 164.012
The length of the diagonal is 10√269 ≈ 164.012 yards.
__
Additional comment
As a practical matter, it would be difficult to measure this distance with an accuracy better than 0.1 yards.
Solve the inequality and find the solution set. y-6 ≥12
To survey a town about traffic concerns, Henry divided the town into eight regions and randomly chose 10 households from each region. What type of sample did she form?
Answer:
Simple Random answer
Step-by-step explanation:
It says that he divided town into eight regions and randomly chose 10. The sample she formed was the Simple Random Answer.
If the markup formula is 40% of cost and selling price of an item is 4999 what is the cost
The quotient of two numbers is negative. It must be true that _____.
How many ounces of water should you drink for every 20 minutes of activity? 12?
Would someone Please answer this question please will be thanked and also will pick brainly!! (please be honest)
Given sin z=4/5 and cos x=3/5. What is the ratio for tan z? Enter your answer in the boxes as a fraction in simplest form.
What is the area of the slice of pie that was cut, rounded to the nearest hundredth?
79.09 ft2
85.31 ft2
97.23 ft2
98.83 ft2
The area of the slice of pie that was cut, rounded to the nearest hundredth is; D: 98.83 ft²
Area of a Sector
We are given the angle of the sector of the circle as θ = 37°.
We are given;
Diameter; d = 35 ft
Thus;
Radius; r = 35/2 = 17.5 ft
Now, the formula for area of a sector of a circle is;
A = (θ/360) * πr²
Thus;
A = (37/360) * π * 17.5²
Approximating to the nearest hundredth gives;
A = 98.883 ²
Read more about Area of a Sector at;https://brainly.com/question/22972014
Suppose you have two hyperbolas that are the same except that the transverse axis and conjugate axis are switched. How does switching the axes affect the equations of the asymptotes for the two hyperbolas? Why?
Final answer:
Switching the axes of two hyperbolas affects the equations of the asymptotes.
Explanation:
When the transverse axis and conjugate axis are switched in two hyperbolas, it affects the equations of the asymptotes. The equations of the asymptotes are determined by the ratio of the coefficients of x² and y² in the hyperbola equation. When the axes are switched, this ratio changes, resulting in different equations for the asymptotes.
For example, let's consider two hyperbolas with equations:
1) 8x² + 10xy - 3y² - 2x - 4y - 2 = 0
2) 8y² + 10xy - 3x² - 2x - 4y - 2 = 0
In the first hyperbola, the ratio of the coefficients of x² and y² is 8/(-3), which determines the equation of the asymptotes. In the second hyperbola, the ratio is (-3)/8, leading to different equations for the asymptotes.
52 -п(2.5)^2
PLZ I NEED HELP IMEDIATELY
Show work
Find the volume of the pyramid
The endpoints of the diameter of a circle are (-7, 3) and (5, 1). What is the center of the circle?
(-6, 2)
(-2, 4)
(-1, 2)
Answer: C. (-1, 2)
Step-by-step-explanation:
The center is the midpoint of the endpoints
→ [tex]\bigg(\dfrac{x_1+x_2}{2}[/tex] , [tex]\dfrac{y_1+y_2}{2}\bigg)[/tex]
→ [tex]\bigg(\dfrac{-7+5}{2}[/tex] , [tex]\dfrac{3+1}{2}\bigg)[/tex]
→ [tex]\bigg(\dfrac{-2}{2}[/tex] , [tex]\dfrac{4}{2}\bigg)[/tex]
→ (-1 , 2)
The midpoint is (-1, 2)
Construct the described data set. the entries in the data set cannot all be the same. the median and the mode are the same. what is the definition of median?
A rectangular field is four times as long as it is wide. if the perimeter of the field is 340 yards, what are the field's dimensions
The required dimensions of the rectangular field are 34 yards by 136 yards.
What is the perimeter of the rectangle?The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.
The perimeter of a rectangle = 2(L+W)
Where W is the width of the rectangle and L is the length of the rectangle
Let's represent the width of the field x. Since the field is four times as long as it is wide, the length of the field is 4x.
The perimeter of the field is the sum of all four sides of the field. This can be written as:
2(x) + 2(4x) = 340
Solving this equation for x, we find that the width of the field is x = 34 yards.
Since the length of the field is four times the width of the field, the length of the field is 4 × 34 = 136 yards.
Therefore, the width of the field is 34 yards, and the length of the field is 136 yards.
Learn more about the Perimeter of the rectangle here:
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What is the next term? 100, 75, 56.25, _____
Eight car dealerships reported the number of cars they sold last month. Car Dealership Number of Cars Sold GMC 84 Chevrolet 81 Nissan 92 Toyota 92 Ford 95 Honda 94 Hyundai 80 Acura 72 What is the interquartile range of this set of data?
Answer:
upper quartile is 93
lower quartile is 80.5
Step-by-step explanation:
I got a 100 on quiz
Simplify 7 + 4 · 5. 55 27 16 6
there are 8 hooks in a display of pens. Each hook can hold 3 packages of pens and there are 3 pens in each package. If the display is completely full, how many pens does it hold?
The first five terms of a sequence are 8, 9, 10, 11, and 12. How are the terms of the sequence generated?
A. by adding 7 to the term number
B. by multiplying the term number by 7
C. by adding 8 to the term number
D. by multiplying the term number by 8
Answer:
A
Step-by-step explanation:
n1=8. 7+1=8
n2=9. 7+2=9
n3=10. 7+3=10
n4=11. 7+4=11
n5=12. 7+5=12