Nathan works at an ice cream shop. The sugar cones have a diameter of 5.5 inches and a height of 3 inches. For a single-scoop cone, he packs the cone with ice cream and then puts a scoop on top. The scoop is approximately half a sphere. What is the volume of ice cream Nathan serves in a single scoop cone? Use 3.14 for pi. Round the volume to the nearest tenth.
Answers
The volume of ice cream Nathan serves in a single scoop cone is 67.32 in³.
What is the volume of the cone?The volume of a cone is calculated using the following formula as shown below;
V = ¹/₃πr²h
where;
r is the radius of the coneh is the height of the coneThe radius = d/2 = 5.5 in / 2 = 2.75 in
The volume of the cone is calculated as follows;
V = ¹/₃ x π x ( 2.75 in )² x 3
V = 23.76 in³
The /volume of the sphere is calculated as follows;
V = ⁴/₃ πr³
Since he added half of the volume of sphere, the new volume becomes;
V = ¹/₂ x ⁴/₃ πr³
V = ²/₃πr³
V = ²/₃π(2.75)³
V = 43.56 in³
The total volume = 23.76 in³ + 43.56 in³ = 67.32 in³
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Related Questions
I need the answer I will mark u brainalist
Answers
Answer:
x= 1
Step-by-step explanation:
x = 1 is the axis of symmetric for the graph
if we draw a line parallel to the y axis one units to the right side of the origin we get the line of symmetry of the graph.
and since the line of symmetry is parallel to y axis and passes thru the point (1, 0) it's equation is x= 1
How many trucks carried only late variety?
How many carried only extra late?
How many carries only one type of peach?
How many trucks(in all) went out during the week?
Answers
9514 1404 393
Answer:
late only: 15extra-late only: 24one type: 43total trucks: 105Step-by-step explanation:
It works well when making a Venn diagram to start in the middle (6 carried all three), then work out.
For example, if 10 carried early and extra-late, then only 10-6 = 4 of those trucks carried just early and extra-late.
Similarly, if 30 carried early and late, and 4 more carried only early and extra-late, then 38-30-4 = 4 carried only early. In the attached, the "only" numbers for a single type are circled, to differentiate them from the "total" numbers for that type.
__
a) 15 trucks carried only late
b) 24 trucks carried only extra late
c) 4+15+24 = 43 trucks carried only one type
d) 38+67+56 -30-28-10 +6 +6 = 105 trucks in all went out
Is 0.9 greater than 4/5
Answers
There are how many halves in 2 1/2
Answers
Answer:
there are 5 halves in 2 1/2
Answer:
5
Step-by-step explanation:
1/2 +1/2 = 1
PLEASE HELP
If 87 people attend a concert and tickets for adults cost $3.5 while tickets for children cost $3.25 and
total receipts for the concert was $291.75, how many of each went to the concert?
Answers
Answer: 51 Children and 36 Adults.
Step-by-step explanation: Let's call x the number of children admitted and call z the number of adults admitted.
We know that x+z= 87
We also know that 3.25x+3.5z= 291.75.
We want to find the value of x and z. Then we solve the system of equations:
Multiply the first equation by -3.5 and add it to the second equation:
-3.5x-3.5z= -304.5
3.25x+3.5z= 291.75
-----------------------------------------------------------------------------------------------------------------
-0.25x=-12.75
x= -42.75 ÷ -0.25
x=51
----------------------------------------------------------------------------------------------------------------
Now we substitute the value of x in the first equation and solve for the variable z
51+z=87
z=87-51
z= 36
Omg took me like 10 minutes to calculate would appreciate brainliest. Have a wonderful day.
The temperature readings from a thermocouple in a furnace fluctuate according to a cumulative distribution function,
0, x < 800 oC
F(x) = 0.05x - 40, 800 oC< or is equal to x < 820 oC
1, x > 820 oC
Determine the following.
A) P(X< 810.0).
B) P(800
C) P(X> 808.40).
D) If the specifications for the process require that the furnace temperature be between 805.60 and 808.40oC, what is the probability that the furnace will operate outside of the specifications?
Answers
Answer:
\(P(x<810)=0.5\)
\(P(x<800) = 0\)
\(P(x>808.40) = 0.58\)
\(P(x\le805.40\ or\ x\ge 808.40) = 0.85\)
Step-by-step explanation:
Given:
\(F(x) = \left\{\begin{array}{ll}{0} &; {x<800^{\circ} \mathrm{C}} \\ {0.05 x-40} &; {800^{\circ} \mathrm{C} \leq x<820^{\circ} \mathrm{C}} \\ {1} &; {x>820^{\circ} \mathrm{C}}\end{array}\)
Solving (a): P(x < 810)
To solve this, we make use of:
\(P(x<810) = F(x) = 0.05x - 40\)
Because
\(800^\circ C \le 810 \le 820^\circ C\)
So:
\(F(x) = 0.05 * 810 -40\)
\(F(x) = 40.5 -40\)
\(F(x) = 0.5\)
Hence:
\(P(x<810)=0.5\)
Solving (b): P(x < 800)
To solve this, we make use of:
\(P(x<800) = F(x) = x\)
Because:
\(x < 800^\circ C\)
So:
\(P(x<800) = 0\)
Solving (c): P(x > 808.40)
Here, we make use of complement rule:
\(P(x>808.40) = 1 - P(x \le 808.40)\)
Where:
\(P(x\le808.40) = 0.05x - 40\)
\(P(x\le808.40) = 0.05*808.40 - 40\)
\(P(x\le808.40) = 0.42\)
So:
\(P(x>808.40) = 1 - 0.42\)
\(P(x>808.40) = 0.58\)
Solving (d) The probability that the temperature lies outside 805.60 and 808.40
First, we calculate the probability that it lies within.
This is represented as:
\(P(805.40 < x < 808.40)\)
This is calculated using:
\(P(805.40 < x < 808.40) = F(808.40) - F(805.40)\)
\(P(805.40 < x < 808.40) = 0.05*808.40-40 - (0.05*805.40-40)\)
\(P(805.40 < x < 808.40) = 0.42 - (0.27)\)
\(P(805.40 < x < 808.40) = 0.42 - 0.27\)
\(P(805.40 < x < 808.40) = 0.15\)
Using complement rule, the required probability is:
\(P(x\le805.40\ or\ x\ge 808.40) = 1 - 0.15\)
\(P(x\le805.40\ or\ x\ge 808.40) = 0.85\)
Find the volume of the prism
Answers
1/2 x 5 x 2 x 3
=15
Question 3 of 10
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the rectangle shown.
square units
Answers
one question to get 20 points
convert 4 5/7 a mixed number to imper fraction
Answers
Step-by-step explanation:
\(4 \frac{5}{7} \)
\( \sf \: \dfrac{4 \times 7 + 5}{7} \)
\( \sf \: \dfrac{28 + 5}{7} \)
\( \dfrac{33}{7} \)
which of the following is most likely the next step in the series
Answers
Answer:
A.
Step-by-step explanation:
Let's think of this as a clock. We can see that the 2 lines start in the same place, around 3 o'clock. Next, one of the line segments shifts down to around 6 o'clock. Next, it shifts to about 9 o'clock. Logically, the next step (in a clock) would be 12 o'clock, making A the correct choice.
We can also just use a regular circle, with one of the line segments moving 90 degrees each time.
Hope this helps! :)
there is a line that includes the point (11,5) and has a slope of 8/11. what is its equation in slope intercept form?
Answers
Answer:
\(y=\frac{8}{11} x-3\)
Step-by-step explanation:
Plug in the slope and point into the equation y=mx+b to solve for the y-value of the y-intercept. Plug in the x value for x, the y value for y, and the slope for m.
\(5=\frac{8}{11} (11)+b\)
\(5=8+b\)
\(-3=b\)
After solving that, you can plug the slope and y-intercept back into the equation to solve for y.
\(y=\frac{8}{11} x+(-3)\)
\(y=\frac{8}{11} x-3\)
Answer:
Step-by-step explanation:
Slope-intercept form is y=mx+b where m is the slope and b is the y-intercept. We have all the information we need except for the y-intercept, so we can plug in our point to solve for the y-intercept.
------------------------------------Solving for y-intercept------------------------------------
Plugging in the point gives us \(5=8/11*11+b\). Simplifying this equation results in \(5=8+b\). To solve for b, we subtract 8 from both sides, giving us that \(b=-3\). We now have both the slope and the y-intercept, so our equation is y = 8/11x -3.
Feel free to contact me with any questions about my answer. I hope this helps!
30 points!
Evaluate the following expression if B = 114
1/2B + 58 x 2
Answers
Step-by-step explanation:
1/2(114)+(58*2)
1/228+(116)
1/228+116/1=
26676/228=117
Karen loads five boxes in the back of her truck. Each box is two feet long, 2.5 feet wide, and 2.4 feet high. What is the total volume of the boxes in Karen's truck? C A. 60 ft³ B. 48 ft³ C. 35 ft³ D. 12 ft³ ft wide 14+high-12 11 long
Answers
Answer:
A. \(60 ft^3\)
Step-by-step explanation:
So to find the volume of a single box, we can determine that by multiplying the width by the height by the length. So:
2.5 × 2.4 × 2 = 12
Now because we have 5 of these boxes, and we know each box has a volume of 12, all we have to is multiply 12 by 5 to get 60.
Answer:
60 cubic feet
Step-by-step explanation:
Total volume of boxes = Number of boxes × Volume of I box
= 5 × (Length × Width × Height)
= 5 × (2 feet × 2.5 feet × 2.4 feet)
= 60 cubic feet
∴Option A
A shape has 2 pairs of parallel sides and no right angles. Its sides are all the same length. What shape is it?
A. Rhombus
B. Trapezoid
C. Rectangle
D. Square
Answers
Answer: The attached figure is a parallelogram with one corner chopped off, making it a pentagon. It still has two pairs of parallel sides & no right angles.
Step-by-step explanation:
Parallelogram is the word that most generally describes such a figure. A square or rectangle, which do, of course have right angles, are special cases of the parallelogram.
I am assuming (perhaps unjustifiably) that when you say “two pairs of parallel sides” you are talking of a figure with no other sides than those four.
There are, of course, many other polygons (hexagons, octagons, decagons, etc) which have two pairs of parallel sides and other sides, any two of which may or may not be parallel.
What is dilation in parabola?
Answers
If the equation of the parabola is given by y = \(ax^{2}\) then the dilation of this parabola is a.
According to the question,
We have the following information:
We have a parabola and we have to know what is the dilation for a given parabola.
We know that a parabola is almost U-shaped curve and the equation of the parabola is given by the following formula:
y = \(ax^{2}\)
Now, a in this case stands for the dilation of the parabola as it is responsible for widening or narrowing the curve of the parabola.
Hence, if the equation of the parabola is given by y = \(ax^{2}\) then the dilation of this parabola is a.
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1. A right triangle LMN is given where: side MN = 8 side NL (the hypotenuse) =
10 What is the length of side LM?*
Answers
Step-by-step explanation:
\( \underline{ \underline{ \text{Given}}} : \)
Length of MN ( Base ) = 8 Length of NL ( Hypotenuse ) = 10\( \underline{ \underline{ \text{To \: find}}} : \)
Length of LM ( Perpendicular )\( \underline{ \underline{ \text{Using \: pythagoras \: theorem}}} : \)
\( \boxed{ \sf{ {Hypotenuse}^{2} = {Perpendicular}^{2} + {Base}^{2} }}\)
⤑ \( \sf{ Perpendicular = \sqrt{ {(Hypotenuse)}^{2} - {(Base)}^{2} } }\)
⤑ \( \sf{ \sqrt{ {(10)}^{2} - {(8)}^{2} } }\)
⤑ \( \sf{ \sqrt{100 - 64}} \)
⤑ \( \sf{ \sqrt{36}} \)
⤑ \( \boxed{ \sf{6\: units}}\)
\( \pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}\)
Hope I helped ! ツ
Have a wonderful day / night ! ♡
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Complete the square to transform the expression x ^ 2 - 2x - 2 into the form a * (x - h) ^ 2 +
k.
(x - 1) ^ 2 + 3
(x - 1) ^ 2 - 3
(x - 2) ^ 2 - 3
O (x - 2) ^ 2 + 3
Answers
By completing the square, the vertex form of quadratic equation is (x - 1)² - 3.
How to complete the square in a quadratic equation
In this question we find a quadratic equation in standard form, which must be modified into vertex form by completing the square, which consists in modifying part of the equation into a perfect square trinomial. The vertex form of the quadratic equation is:
y = C · (x - h)² + k
First, write the polynomial in standard form:
x² - 2 · x - 2
Second, use algebra properties to expand the expression:
(x² - 2 · x - 2) + 0
(x² - 2 · x - 2) + 3 - 3
(x² - 2 · x + 1) - 3
Third, use the definition of perfect square trinomial:
(x - 1)² - 3
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Find the equation of the line.
Use exact numbers.
Answers
Answer:
Step-by-step explanation:
rewrite the function f(x)=-2(x-3)^2+7 in the form f(x)=ax^2+bx+c
Answers
Answer:
f(x) = -2x² + 12x - 11
General Formulas and Concepts:
Order of Operations: BPEMDAS Expand by FOIL (First Outside Inside Last) Standard Form: f(x) = ax² + bx + c Vertex Form: f(x) = a(bx + c)² + dStep-by-step explanation:
Step 1: Define function
Vertex Form: f(x) = -2(x - 3)² + 7
Step 2: Find Standard Form
Expand by FOILing: f(x) = -2(x² - 6x + 9) + 7Distribute -2: f(x) = -2x² + 12x - 18 + 7Combine like terms (constants): f(x) = -2x² + 12x - 11What is the volume of a cubed shaped box with edges 6 cm. in length?
Answers
Answer:
216 cm³
Step-by-step explanation:
The volume of a cube is denoted by V = s³, where s is the side length.
Here, the side length is 6 centimetres, so plug this into the formula to find V:
V = s³
V = 6³ = 6 * 6 * 6 = 216
The answer is thus 216 cm³.
~ an aesthetics lover
Answer:
216
Step-by-step explanation:
6³ = 216
What is the slope of a line that is perpendicular to the line represented by the equation x – y = 8? 1 −1 8
Answers
keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above
\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)
The International Monetary Fund is trying to raise $1,600 billion in 12 years for new funds to lend to developing countries. At 4% interest compounded quarterly, how much must it invest today to reach $1,600 billion in 12 years? (Use the Table provided.)
Answers
They must invest $269.54 billion at a compound interest of 4% quarterly
How to find how much must it invest today to reach $1,600 billion in 12 years?Since the International Monetary Fund is trying to raise $1,600 billion in 12 years for new funds to lend to developing countries at 4% interest compounded quarterly, we use the compound interest formula to determine the amount it needs to raise.
What is the compound interest formula?The compound interest formula is given by A = P(1 + r)ⁿ where
A = amount raised, P = principal, r = interest rate and n = timeNow, since we require P, making P subject of the formula, we have
P = A/(1 + r)ⁿ
Given that
A = amount raise = $1600 billion, r = compound interest rate = 4% quarterly = 4% ÷ 1/4 year = 4% × 4 = 16% = 0.16 per year and n = number of years = 12Substituting the values of the variables into the equation, we have
P = A/(1 + r)ⁿ
P = $1600 billion/(1 + 0.16)¹²
P = $1600 billion/(1.16)¹²
P = $1600 billion/5.936
P = $269.54 billion
So, the must invest $269.54 billion
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7+[9÷(9x1 to the second power)]
Answers
The value of the expression 7+[9÷(9x1 to the second power)] is 64/9
What is a fraction?A fraction can be described as the part of a whole set or element.
There are several types of fractions, which includes;
Simple fractionsComplex fractionsMixed fractionsProper fractionsImproper fractionsSome examples of these fractions are given as;
Simple fractions: 1/5, 1/6
Mixed fractions: 2 1/8, 3 1/4
Proper fractions: 2/3, 4/5
Improper fractions; 4/1, 6/3
Given the expression;
7+[9÷(9x1 to the second power)]
This is expressed as;
7 + ( 9 ÷ (9)^2
Find the square
7 + ( 9 ÷ 81)
find the ratio
7 + 1/9
Find the common multiple
63 + 1 /9
64/9
Hence, the value is 64/9
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If f(x)=x^3-4x^2-25x+28f(x)=x 3 −4x 2 −25x+28 and x-7x−7 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
Answers
9514 1404 393
Answer:
x = {7, 1, -4}
Step-by-step explanation:
Dividing the given factor from the polynomial using synthetic division, we get ...
f(x) = (x -7)(x^2 +3x -4)
Factoring the quadratic* gives ...
f(x) = (x -7)(x -1)(x +4)
The zeros are the values of x that make these factors be zero:
x = {7, 1, -4}
_____
* The constants in the binomial factors are factors of -4 that have a sum of +3. Those are (-1)(4) = -4. -1+4 = 3.
solve simultaneously 2x - y = - 10 and 3x + 2y = - 1
Answers
The solution to the system of equations is x = -3 and y = -4.
To solve the system of equations:
Equation 1: 2x - y = -10
Equation 2: 3x + 2y = -1
We can use the method of substitution or elimination to find the values of x and y.
Let's use the method of elimination:
Multiply Equation 1 by 2 to make the coefficients of y in both equations equal:
2(2x - y) = 2(-10)
4x - 2y = -20
Now, we can eliminate y by adding Equation 2 and the modified Equation 1:
(3x + 2y) + (4x - 2y) = -1 + (-20)
7x = -21
x = -3
Substitute the value of x into Equation 1 to solve for y:
2(-3) - y = -10
-6 - y = -10
y = -10 + 6
y = -4
Therefore, the solution to the system of equations is x = -3 and y = -4.
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Calcular los 3/5 de los 2/3 de las 3/4 de 560
Answers
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Diane has been keeping an eye on an emerald ring she likes. Its original price was $22,090. After being marked down for a clearance sale, it is now $13,254. By what percent has the price of the ring gone down?
Answers
Answer:
40%
Step-by-step explanation:
22,090-13,254 is 8836
8836/22090 *100 is 40%
Hope this helps!
Answer:
40%
Step-by-step explanation:
40% of 22,090 is 8,836. When you subtract $8,836 (40%) you get the current price, 13,254.
(sorry if this is confusing)
Identfy the equation that translates Y= In(x) five units down.
y= In(x-5)
y= In(x)+5
y= In(x+5)
y= In(x)-5
Please please help me
Answers
Answer:
y= In(x)-5
Step-by-step explanation:
Which table represents a linear function?
Answers
Dorlanic's birthday party is coming up on Saturday. His friend Isaiah says there is a chance that he will attend the party. How likely is it
that Isaiah will attend?
O A It is certain that Isaiah will attend.
OB. It is impossible that Isaiah will attend.
OC. It is likely that Isaiah will attend.
O D. It is neither likely nor unlikely that Isaiah will attend.
Answers
Answer:
c. its likely that Isaiah will attend
Step-by-step explanation:
im sorry if im wrong just wanted to help, but it just seems like the right choice