The volume of a cone with diameter d (and hence radius d/2) and height h is
[tex]V_{\rm cone} = \dfrac\pi3 \left(\dfrac d2\right)^2 h[/tex]
so each scoop holds
[tex]V = \dfrac\pi3 \left(\dfrac{1\,\rm in}2\right)^2 \left(2\,\mathrm{in}\right) = \dfrac\pi6 \, \mathrm{in}^3[/tex]
of coffee.
The volume of a cylinder with base diameter d and height h is
[tex]V_{\rm cylinder} = \pi\left(\dfrac d2\right)^2 h[/tex]
so the coffee can contains
[tex]W = \pi \left(\dfrac{6 \, \rm in}2\right)^2 \left(6\dfrac14 \, \mathrm{in}\right) = 2025\pi \,\mathrm{in}^3[/tex]
of coffee.
One full scoop then uses up [tex]\frac VW = \frac1{12,150}[/tex] of the total amount of coffee in the can, so you can make 12,150 cups of coffee.
Math and experimental probability for this irrady stuff………
Answer:
so whats the question now?
Step-by-step explanation:
When rotating the figure you turn it around at a point this can be any coordinate point like the origin which is at?
Answer:
Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as
x′=−yx′=−y
y′=xy′=x
Larissa is planning for a trip that will cost $2,145. She has $952.50 saved and is going to set aside ½ of her weekly salary from her part-time job. Larissa earns $265 per week. How many weeks will it take her to earn the rest of the money needed for the trip? With work shown
Answer:
9 weeks :)
Step-by-step explanation:
First we subtract :)
2145 - 952.50 = 1192.50
Now we divide :)
265/2 = 132.5
Now we divide 1 more time :)
1192.50/132.50 = 9
It will take 9 weeks :)
Have an amzing day!!
Please rate and mark brainliest!!
HELP PLEASE ILL GIVE BRAINLEST IF U HELP QUICK
[tex]\qquad\qquad\displaystyle \huge Answer[/tex]
Let's check if (3 , 6) is the point of intersection of the given lines ~
[tex] \qquad \displaystyle \: y = 4x - 2[/tex]
and
[tex] \qquad \displaystyle \: y = \frac{1}{2} x + 5[/tex]
If the point is the point of intersection of these two lines, then it should satisfy both the equations ~
let's try each of them, using x coordinate of point.
[tex] \qquad \displaystyle \: y = 4(3) - 2[/tex]
[tex] \qquad \displaystyle \: y = 12 - 2[/tex]
[tex] \qquad \displaystyle \: y = 10[/tex]
So, the point didn't actually satisfy one of the equation. hence we can infer that the given statement is wrong.
calculate the total perimeter and area of the shaded ring
Answer:
be specific
Step-by-step explanation:
which shaded eing
Determine the solutions of the equation. what solution makes sense for the situation? x = what are the dimensions of the rectangle? width = inches length = inches
Answer:
Determine the solutions of the equation. What solution makes sense for the situation?
x = 8
width = 8inches
length = 13
What is the VOLUME of this figure?
9 cm
7 cm
8 cm
10 cm
12 cm
Answer:
1390 cm^3
Step-by-step explanation:
9 x 7 x 10 = 630 cm^3 for the rectang prism top
area * 10 for the bottom
8 x ( 12 + 7)/2 * 10 = 760 cm^3 for the trap base
total = 1390 cm^3
Doing math please help, thanks
Answer:
the x-coordinate of the vertex is the equation of the axis of symmetry of the parabola.
The vertex of the parabola is (-2,3)
So, the axis of symmetry is the line x = -2
Step-by-step explanation:
2+9 is 13 is this the write answer
No this is not the right answer. 2+9 equals 11.
Henry has x blue pens. Rachel has $5$ blue pens and $y$ black pens. Jake has $3$ times the total number of pens Henry and Rachel have. Write a simplified expression for the number of pens Jake has.
pen(s)
Answer:
Step-by-step explanation:
Henry X blue
Rachel 5 blue and Y black
Jack 3 times the total of pens ( blue & black)
So
X + 5 + Y for Henry and Rachel
Jack : 3( X + 5 + Y)
Jack has 3X + 15 + 3Y.
Pens of jack 3X + 15 Blue & 3Y black.
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
1 1/2
Step-by-step explanation:
Answer:
1 1/2
Step-by-step explanation:
3 x 1/2 = 1.5 or 1 1/2
help my little sister
Answer:
The answer would be 48 cm^2
Step-by-step explanation:
You have to do 9x4 and then add 6x2 to that.
9x4 is 36 and 6x2 is 12.
36+12 is 48. Hope this helps! :)
Answer:
The answer would be 48 cm^2
What is the value of p?
Find the volume of the sphere shown. Give each answer round to the nearest cubic unit. 15 CM
Answer:
a
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex]πr³ ( r is the radius )
here the diameter = 15, then r = 15 ÷ 2 = 7.5 , then
V = [tex]\frac{4}{3}[/tex]π × 7.5³
= [tex]\frac{4}{3}[/tex]π × 421.875
= [tex]\frac{4\pi (421.875)}{3}[/tex]
≈ 1767 cm³ ( to the nearest cubic cm )
charlotte buys a rectangular rug with an area of 27/4 sqaure meters. The midth of the rug is 3/2 meters. What is the length, in meters, of the rug?
charlotte buys a rectangular rug with an area of 27/4 square meters.
The width of the rug is 3/2 meters. So the length of the rectangular rug is 9/2 meters.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
charlotte buys a rectangular rug with an area of 27/4 square meters.
The width of the rug is 3/2 meters.
Area of the rectangular rug = 27/4 square meters
Let us assume the length of the rug = x meters
Then,
Area of the rug = length × Width
[tex]27/4 = (3/2) \times x\\\\x = (27/4) \times (2/3) \\x = 9/2[/tex]
So the length of the rectangular rug is 9/2 meters.
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Scientific models can be used for a variety of different purposes. Which of the following statements about scientific models is not true?
a.
Scientific models can save money and lives.
b.
Scientific models allow scientists to test their predictions.
c.
Scientific models allow scientists to study systems that no longer exist.
d.
Scientific models are used rarely.
Answer:
D
Step-by-step explanation:
Characteristics of scientific models
They can save money and livesThey allow scientists to test their predictionsThey allow scientists to study systems that no longer existThey are widely usedOut of the given options, only D is an incorrect statement.
Answer:
D
Step-by-step explanation:
Just took the test
Find the perimeter and area of the parallelogram. 14 cm 18 cm 6 cm
Answer:
b
Step-by-step explanation:
Adrian is planning to drive from City X to City Y. The scale drawing below shows the distance between the two cities with a scale of ¼ inch = 18 miles.
City X to City Y is 3 1/2 in.
If Adrian drives at an average speed of 30 miles per hour during the entire trip, how much time, in hours and minutes, will it take him to drive from City X to City Y?
Answer:
takes him 8.4 hrs
Step-by-step explanation:
if 1/4=18inch then 3 1/2=7/2 so 7/2 divide by 1/4=14 then 18 x 14=252
so distance is 252 miles
speed is 30mph so 252/30=8.4h
the answer might need the 0.4 in hrs too
Cylinder candle has a volume of 125.6 cu in. The height is 10in. What is the radius
Answer:
1.123
Step-by-step explanation:
first find the area of the circle which is 125.6/10 or 12.56. Then divide take the square root which is around 3.54 and divide by pi which you get 1.1.23
Answer:
12.56 inches 10 × 12.56 = 125.6
The answer is 125.6 , If it is wrong i'm srry.
Step-by-step explanation:
What's the circumference of a circle with a diameter of 25 inches
Find the third fourth and eleventh terms of the sequence described by the rule A(n)=-2+(n-1)(5)
Answer:
8,13,48
Step-by-step explanation:
Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8
Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13
Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48
100 Points!!!
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Let's see
#a
Take 28
(28)²(30-2)²30²-2(30)(2)+2²900-120+4780+4784#2
Take 9,10
9³+10³(9+10)(9²-9×10+10²)(19)(81-90+100)19(181-90)19(91)1729Answer:
Two-digit number greater than 25: 32
Rewrite 32 as the difference of 2 numbers: 40 - 8
Therefore, x = 40 and y = 8
[tex]\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}[/tex]
Let a = 10
Let b = 11
[tex]\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}[/tex]
Write the expression in exponential form.
Answer:
In exponential form given function is equal to [tex]N = b^{r}[/tex]
Step-by-step explanation:
We are given with function,
[tex]log_{b} ^[/tex] [tex]^{N} = r[/tex]
We have to express it in exponential form.
Consider,
[tex]log_{b}^[/tex] [tex]^ {N} = r[/tex]
exponential both side to the power of b as base of given log function is b.
we get
[tex]b ^{logb}[/tex] [tex]^ {N} = b^{r}[/tex]
[tex]N = b^{r}[/tex]
Therefore In exponential form given function is equal to [tex]N = b^ {r}[/tex]
Need ASAP!
What is the exact value of TanA
Answer:
See below
Step-by-step explanation:
Ina right traingle tan (angle) = (opposite side) / (adjacent side)
So tan A = sqrt (161)/8 exactly
(Will give brainliest answer)
NEED HELP ASAP! SHOW SOLUTION AND EXPLANATION PLEASE!!
1. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2), = 0, = 0, and = 1 is revolved about the x-axis.
2. Find the volume of the solid that results when the region enclosed by the given curves = ^(−2), = 0, = 0, and = 1 is revolved about the y-axis.
The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis and the y-axis is 0.77 and 0.7135.
What is the revolution of the curve?Revolving the region bordered by y = f(x) and the x-axis on the interval [a, b] around the x-axis generates the volume (V) of a solid.
The volume is given as
[tex]\rm Volume = \int _a^b \pi y^2 \ dx[/tex]
The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the x-axis.
[tex]\rm Volume = \int _0^1 \pi (e^{-2x})^2 \ dx\\\\\\Volume = \int _0^1 \pi (e^{-4x}) dx\\\\\\Volume = \pi [\dfrac{e^{-4x}}{-4}]_0^1\\\\\\Volume = - \dfrac{\pi}{4} [e^{-4} - e^0]\\\\\\Volume = -\dfrac{\pi}{4} [-0.98168]\\\\\\Volume = 0.77[/tex]
The volume of the solid that results when the region enclosed by the given curves y = e⁻²ˣ, y = 0, x = 0, and x = 1 is revolved around the y-axis.
[tex]\rm Volume = \pi \left [\int_{0}^{0.135} dy + \int_{0.135}^{1}\left ( \dfrac{\ln x}{-2} \right )^{2}dy \right ]\\\\Volume =0.71375[/tex]
More about the revolution of the curve link is given below.
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True or false? pls help me get this right
Which equation correctly uses the law of cosines to solve for the missing side length of trianglepqr? 62 = p2 82 – 2(p)(8)cos(39°) p2 = 62 82 – 2(6)(8)cos(39°) 82 = 62 p2 – 2(6)(p)cos(39°) p2 = 62 62 – 2(6)(6)cos(39°)
The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P
The cosine rule formulaFor us to use the cosine formula, an angle must be situated between two sides of the triangle.
According to the rule;
c^2 = a^2 + b^2 - 2ab cos C
From the given diagram, if cos<P is the reference angle, then;
a = 11
b = 7
c = 8
Substiute
8^2 = 7^2 +11^2 - 2(7)(11) cos <P
Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P
Learn more on law of cosine here: https://brainly.com/question/8288607
a
A circle has a center of (-6,0) and passes
through the point (-1,3). What is its radius?
Answer: 10
Step-by-step explanation:
Given that a circle has the center at
(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6
So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units
Let's see
Find distance between these points and radius
√(x_1-x_2)²+(y_1-y_2)²√(-6+1)²+(0-3)²√(-5)²+(-3)²√25+9√34 unitsSimplify. 3x - 2x + 3 - 2?
Answer:
x+1
Step-by-step explanation:
Answer:
x + 1
Step-by-step explanation:
If we take away 2x from 3x, the remaining is 1x which is simply written as x. If we take away 2 from 3, the remaining is 1. (3 - 2 = 1)
A part of linear function g is graphed on the grid.
Which inequality best describes the domain and range of the part shown?
By looking at the graph, we can see that:
Domain: -7 ≤ x ≤ 6Range: -4 ≤ y ≤ 5.How to find the domain and range of a function?For a function:
y = f(x)
We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.
Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:
-7 ≤ x ≤ 6
The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.
Then the correct option is the first one.
If you want to learn more about domain and range, you can read:
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