Answer:
A. 14 times
B. 5 times.
Step-by-step explanation:
We know the volume of the sink, now we need to find the volume of the cup(s) he's using to empty it out.. to find out how many scoops he'll have to do.
We'll assume he can actually empty it all, even if it's unlikely he can scoop the last 5%-10% of it due to the shapes/sizes of the sink and the cup. We'll also assume he completely fills the cup (which is impossible due to angles).
The volume of the sink is 3000/3 π cubic inches, let's simplify that as 1000 π cubic inches.
a - Cylindrical cup, diameter 6 inches, height: 8 inches.
We remember the volume of a cylinder is found using this formula:
V = π r²h
So, we have:
V = π * 3² * 8 = 72π
So, how many times does Michael has to scoop (S):
[tex]S = \frac{1000 \pi }{72 \pi } = 13.88[/tex]
Of course, he can't scoop 0.83 times... so we'll round it up.
So, Michael will have to scoop 14 times with this first cup.
b - Cylindrical cup, diameter 10 inches, height: 8 inches.
We remember the volume of a cylinder is found using this formula:
V = π r² h
So, we have:
V = π * 5² * 8 = 200π
So, how many times does Michael has to scoop (S):
[tex]S = \frac{1000 \pi }{200 \pi } = 5[/tex]
So, Michael will have to scoop 5 times with this second cup, which is not surprising since the volume of the second cup is nearly the triple of the first one.
What is the volume of the right rectangular prism?
Answer:
240
Step-by-step explanation:
V=width height length = 10 · 3 · 8 = 240
Hope this helped, have a wonderful day man!
The answer is 240cm^3
Which has a greater volume; two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm or one family size can of soup, which has a diameter of 10 cm and a heigh if 12 can? Explain and give your calculations.
Answer:
The two regular cans of soup has a greater volume than the family size can of soup
Step-by-step explanation:
step 1
Find the volume of two regular cans of soup, each with a diameter of 8 cm and a height of 10 cm
The volume is equal to
[tex]V=2[\pi r^{2} h][/tex]
we have
[tex]r=8/2=4\ cm[/tex] ----> the radius is half the diameter
[tex]h=10\ cm[/tex]
substitute
[tex]V=2[\pi (4)^{2} (10)][/tex]
[tex]V=320\pi\ cm^{3}[/tex]
step 2
Find the volume of one family can of soup, with a diameter of 10 cm and a height of 12 cm
The volume is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=10/2=5\ cm[/tex] ----> the radius is half the diameter
[tex]h=12\ cm[/tex]
substitute
[tex]V=\pi (5)^{2} (12)[/tex]
[tex]V=300\pi\ cm^{3}[/tex]
therefore
Compare the volumes
[tex]320\pi\ cm^{3} > 300\pi\ cm^{3}[/tex]
The two regular cans of soup has a greater volume than the family size can of soup
Will give 30 points
What is the area of the irregular figure below?
36
48
144
288
Answer:
36
Step-by-step explanation:
This figure is a trapeoid.
Turning the figure sideways,
A = 1/2 (b1+b2) *h where b1 and b2 are the top and bottom and h is the height
b1 and b2 are the top and bottom so b1 =6 and b2=12 and h is the height so h = 4
A = 1/2 (6+12)*4
A = 1/2 (18)*4
= 9*4
= 36 in^2
The area of the irregular figure is 36 sq. in.
Given is an irregular figure with dimensions 6 in, 4 in and 12 in, we need to find the area of the irregular figure,
To find the area of the given figure, we will break the figure into two regular figures,
a) Triangle [base = 4 in and height = 12-6 = 6 in]
b) Parallelogram [base = 4 in and height = 6 in]
Area of a triangle = 1/2 × base × height
Area of a parallelogram = base × height
Therefore,
Area of the irregular figure = [1/2 × 4 × 12] + 4 × 6
= 24 + 12
= 36
Hence the area of the given figure is 36 in².
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An opaque bag contains 5 green marbles 3 blue marbles and 2 red marbles. what is the of randomly picking out a marble and the marble being red?
Answer:
1/5
Step-by-step explanation:
Since there are 2 red marbles and since there are a total of 10 marbles, the probability is 2/10. This simplifies to 1/5. So the probability of picking a red marble is 1/5.
The probability of randomly picking out a red marble is 1/5
Calculating the probability of randomly picking out a marble and the marble being red?To determine the probability of randomly picking out a marble and it being red, we need to consider the total number of marbles and the number of red marbles.
Total marbles = 5 green + 3 blue + 2 red = 10 marbles
Red marbles = 2
So, we have
Probability = (Number of favorable outcomes) / (Total possible outcomes)
This gives
Probability = (Number of red marbles) / (Total marbles)
By subsituition
Probability = 2/10 = 1/5
Hence, the probability of randomly picking out a marble and it being red is 1/5
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You need to guess on a multiple-choice question that has four options.
What are the odds that you choose the correct answer?
Answer:
Its a 25% chance you choose the correct answer
Also 1/4 odds
1/4 (or 25%)
There are four possible outcomes, so the denominator of the fraction is 4.
There is only one correct answer, so the numerator of the fraction is 1.
This means the probability is 1/4, or 25%.
PLEASE ANSWER RIGHT AWAY
Answer:
A- control group
Since group A is tested under normal condition, it is the control group. Control group is separated from other groups so that the independent variable being tested cannot influence the result.
Let f(x) = 1/x and g(x) = x^2 + 4x. What
two numbers are not in the domain of fºg?
Answer:
0 and -4
Step-by-step explanation:
We have been given the following functions;
f(x) = 1/x
g(x) = x^2 + 4x
The first step would be to evaluate the composite function fºg.
fºg = f[g(x)]. We substitute g(x) in place of x in f(x)
fºg = [tex]\frac{1}{g(x)}=\frac{1}{x^{2}+4x}[/tex]
This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.
We solve for x;
[tex]x^{2}+4x=0\\\\x(x+4)=0\\x=0\\x=-4[/tex]
Therefore, the two numbers that are not in the domain of fºg are 0 and -4
For this case we have the following equations:
[tex]f (x) = \frac {1} {x}\\g (x) = x ^ 2 + 4x[/tex]
We must find (f_ {o} g) (x):
By definition of composition of functions we have to:
[tex](f_ {o} g) (x) = f (g (x))[/tex]
So:
[tex](f_ {o} g) (x) = \frac {1} {x ^ 2 + 4x}[/tex]
We must find the domain of [tex]f (g (x)).[/tex] The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.
[tex]x ^ 2 + 4x = 0\\x (x + 4) = 0[/tex]
So, the roots are:
[tex]x_ {1} = 0\\x_ {2} = - 4[/tex]
The domain is given by all real numbers except 0 and -4
Answer:
x other than 0 and -4
Someone help me ?? Please
Answer:
The correct answer is first option 6 units
Step-by-step explanation:
From the figure we can see a rectangle was mediated to crerate A'B'C'D'
To find the value of AB
AB = ?
A'B' = 15 units
BC = 3.8 units
B'C' = 9.5 units
From the figure we can write,
A'B'/AB = B'C'/BC
15/AB = 9.5/3.8
AB = (15 * 3.8)/9.5 = 6 units
Therefore the correct answer is first option 6 units
Which answer choices represents an expression
Answer:
A
Step-by-step explanation:
Madison's expression equals 8z and so does the answer.
Answer:
Answer: A
Step-by-step explanation:
This is an example of the associative property of multiplication. The general way it is written is (a*b)*c = a*(b*c) It means that the order of multiplication does not matter.
The one that looks like that for your question is
(z*2)(4) = z * (2 * 4)
Both give an answer of 8z
A
If sin theta =0.3090, what is the approximate value of csc theta
Answer:
If sine theta = .3090 then arc sine theta =
18 degrees
Then we look up csc 18 degrees which = 3.2361
Step-by-step explanation:
Answer:
cscΘ ≈ 3.2362
Step-by-step explanation:
Using the trigonometric identity
• cscx = [tex]\frac{1}{sinx}[/tex] , then
cscΘ = [tex]\frac{1}{0.3090}[/tex] ≈ 3.2362
Peregrine Falcons have been known to dive at a rate of 200 miles per hour. How many miles per second is this when rounded to the nearest thousandth?
Answer:
[tex]0.056\ \frac{miles}{second}[/tex]
Step-by-step explanation:
we know that
The rate is equal to
[tex]200\ \frac{miles}{hour}[/tex]
Remember that
[tex]1\ hour=3,600\ seconds[/tex]
substitute
[tex]200\ \frac{miles}{hour}=(200/3,600)\ \frac{miles}{seconds}=0.056\ \frac{miles}{second}[/tex]
50 points if right, Will give brainlist! only answer if you know its right 100%
Solve and graph the inequality.
3n -10 ≥ 2
3n -10 ≥ 2
Add 10 to each side:
3n ≥ 12
Divide both sides by 3:
n ≥12/3
n≥4
The dot would be solid and located on the number 4, with the line and arrow moving/ pointing to the right.
1. n >2
2. n≤3
3. n<4
4. n≥5
Method of Transportation Percent of Students
Bike 3%
Bus 90%
Car 4%
Walk 3%
A middle school student is doing a math project in which she has to make a graph of the different ways students get to school. To collect her data, she stands under the bus canopy and asks 100 students how they normally get to school. Is her data valid? Why or why not?
No. Because she only asked the people who was walking to school
The players height is standard deviation above the mean?
Answer:
Step-by-step explanation:
Z score is the number of standard devations above the mean.
For example if z=1, the data value is 1 st. dev. above the mean.
So, z=1.95, so the player's heigh is 1.95 st. dev. above the mean.
The two-way table below describes
Answer:there is not answer we need more info
Step-by-step explanation:
The volume of a cube is 729 cubic feet . What is the side length of the cube ?
Side length of cube = 9 feet
The side length of the cube is 9 feet. Thus, the third option is correct.
To find the side length of a cube when given its volume, we can use the formula for the volume of a cube:
Volume = side length³
In this case, we know that the volume of the cube is 729 cubic feet.
Let's substitute this value into the formula:
729 = side length³
To find the side length, we need to take the cube root of both sides of the equation:
∛729 = ∛(side length³)
Simplifying:
9 = side length
Therefore, the side length of the cube is 9 feet.
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PLEASE HELP!!! Rewrite 2.26 ( a line over the 6 ) as a simplified fraction!! THANK YOU!
Answer:
2 13/15
Step-by-step explanation:
2.26/ 1 X 100/100 = 226/100
226/100 Dived by 2 ( both top and bottom ) = 113/50
113/50 = 2 13/50
2.26 = 2 13/50
PLEASE HELP JUST NEED TO PASS THIS GEOMETRY TO BE DONE
What are possible coordinates of point F if ΔDEF is congruent to ΔABC?
(–1,4)
(4,–1)
(0,–1)
(–1,0)
(–1,4)
Step-by-step explanation:Shapes are congruent if you can turn one into the other by moving, rotating or flipping. We can use this symbol [tex]\cong[/tex] to show that two things are congruent. Two triangles are congruent if and only if all the corresponding legs are congruent. The only point that makes the corresponding legs to be congruent is [tex](-1,4)[/tex]. Why? because we can match these two triangles by flipping the red one two times and moving it into the blue one.
Answer:
(–1,4)
Step-by-step explanation:
Miguel cut 1/4 from a round pie. Mariah cut a piece from the same pie with an angle measure of 60 degrees. Who cut the larger piece? Explain
Answer:
Miguel
Step-by-step explanation:
Since the pie is round it is a circle, and all circles have 360 degrees in total. Miguel cut 1/4 of the pie and 1/4 x 360 = 90. 90 is greater than 60.
Answer:
Miguel
Explanation:
Think of the 1/4 as 90 degrees.
An entire circle is 360 degrees. A quarter of that is 90 or 1/4.
Hope this picture helps.
Order of operations
The answer is 124 for prob . Please show steps . I keep getting 129
4^2×2^3- (14-16)÷2
ANSWER
129
EXPLANATION
The given expression is:
[tex]4^2×2^3- (14-16)÷2[/tex]
Deal with the parenthesis first.
[tex]4^2×2^3- ( - 2)÷2[/tex]
[tex]4^2×2^3 + 2÷2[/tex]
Deal with exponents,
[tex]16×8+ 2÷2[/tex]
Divide now
[tex]16×8 + 1[/tex]
Multiply
[tex]128 + 1 [/tex]
You can now add to get
[tex]129[/tex]
The order of operations is PEDMAS
What are the slope and y-intercept of the linear equation below y=2\3x - 1
Answer:
2/3 is the slope and
-1 is the y intercept
Step-by-step explanation:
y = 2/3 x -1
This is in the form y = mx+b where m is the slope and b is the y intercept
2/3 is the slope and
-1 is the y intercept
Answer:
2/3 slope, -1 y intercept.
Step-by-step explanation:
Equations in y=mx+b forms follow these rule- y is the dependent variable, and x is the independent variable; m is the slope and b is the y intercept.
This means that the m, or slope is 2/3, and the y intercept is -1.
Please help !!!!thank you .
Answer:
414
Step-by-step explanation:
12 times 7, 12 times 15, 7 times 15
What is the equation of the line that passes through the point (-5, 2) and has an undefined slope?
Answer:
x = - 5
Step-by-step explanation:
A line with an undefined slope indicates that the line is vertical and parallel to the y- axis.
The equation of a vertical line is
x = c where c is the value of the x- coordinates the line passes through.
The line passes through (- 5, 2) with x- coordinate -5, hence
x = - 5 ← equation of line
The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.
i.e y-axis.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
We have,
The equation of a line passes through the point (-5, 2)
The equation of a line has an undefined slope.
Now,
An undefined slope means,
The line is parallel to the y-axis.
There is only one point on the x-axis.
Slope = Change in y-axis / Change in the x-axis
Slope= Change in y-axis / 0
Slope = undefined
If the slope of a line is undefined there is no y-intercept.
The equation of the line is:
y = mx + c
y = (1/0)x + 0
0 = x
x = 0
This means the y-axis.
The equation of the line passes through the point (-5, 2) so,
x = -5
Thus,
The equation of a line that passes through the point (-5, 2) and has an undefined slope is x = -5.
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Amanda is building a soft triangular kennel for her dog. She has four wooden planks of lengths 2 feet, 3 feet, 5 feet, and 6 feet. Determine which planks Amanda should use to build the triangular-shaped kennel. Enter the lengths from least to greatest.
Answer:
3 ft, 5ft, 6ft
Step-by-step explanation:
To build a kennel of my dog, I would try to make it the largest possible with what I have.
So, I would go with the 3 longest planks: 3ft, 5ft and 6ft.
By looking at the length, I see I could make something very close to a right triangle since I could use the 6ft as an hypotenuse, and have the two other sides as 3ft and 5 ft (6² is almost 3²+5², which equal 34).
That means my corner angle would be slightly over 90 degrees.
Answer:
3,5,6
Step-by-step explanation:
because i said so
Find the value of a4 for this geometric series (I’ll add you on discord if you solve my guy and guyetts)
Answer:
The value of a4 is 6
Step-by-step explanation:
* Lets revise the rule of the geometric series
- There is a constant ratio between each two consecutive numbers
- Ex:
# 5 , 10 , 20 , 40 , 80 , ………………………. (×2)
# 5000 , 1000 , 200 , 40 , …………………………(÷5)
* General term (nth term) of a Geometric series:
- a1 = a , a2 = ar , a3 = ar2 , a4 = ar3 , a5 = ar4
- an = ar^n-1, where a is the first term , r is the constant ratio
between each two consecutive terms and n is the position
of the number in the series
* Now lets solve the problem
- The rule of the series is 2/9 (3)^n - 1
∴ a = 2/9 and r = 3
- To find a4 put n = 4
∴ a4 = 2/9 (3)^(4 - 1) = 2/9 (3)³ = 2/9 (27) = 6
∴ The series is 2/9 , 2/3 , 2 , 6 , ........
* The value of a4 is 6
Answer:
r
Step-by-step explanation:
Can y’all try to solve some of these for me?
Answer:
The 3rd problem on mondays answer is 2:1
The 4th problem on monday answer is it is not long enough he needs to make it 4 inches longer.
The 5th problem on monday is 41
The 6th problem on monday is 13,12,11
Can't read the whole problem for the 7th question on monday
the 8th problem on monday is 55 and 8/15
That is the answers for monday hope this helps
Step-by-step explanation:
After applying the composition / to the point (–5, 3), in which quadrant does the image lie?
A.
I
B.
II
C.
III
D.
IV
Answer:
B II
Step-by-step explanation:
Answer:quad 1
Step-by-step explanation:
-90 is clockwise and 90 is counter like whatttttttt
X2 = 12 16 48 Help!!!!!
Answer:
The answer is 48 NOT 12
Step-by-step explanation:
Answer:
Option (2)
Step-by-step explanation:
By using theorem of intersecting secant and tangent at a point outside a circle.
PB × PA = (PQ)²
Since, PB = 2 units
PA = (PB + AB)
= (2 + 6)
= 8 units
PQ = x units
Therefore, by substituting these values,
2 × 8 = x²
[tex]x^{2} = 16[/tex]
Therefore, Option (2) will be the correct option.
which of the following equations was used to graph the line shown B).y=x÷2 D).y=x+2
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:
So it seems you were able to eliminate a and c. Good job. :)
y= x/2 is the same as y= 1/2 * x + 0 (this is now in the form y= mx +b.)
y= x+ 2 is already in (y=mx+b) form, with m being 1.
now what you can do is look at the individual parts of these equations.
the b is the y intercept. So when x is 0, y is b. in the y= 1/2 x + 0 equation, we know when x= 0, y= 0.
for the y=x + 2, we know that when x= 0, y= 2. Since this is not a point on the line shown, we know that it is not correct. Therefore, your answer would be y= 1/2 x, or y= x/2.
You could also find this using slope, but the y- intercept (b) was simpler to explain and find. :)
Carl is shipping a cardboard box that is a rectangular prism. The net of Carl's box is shown. 4 inches 6 inches H-10 inches What is the area of cardboard, in square inches, required for Carl's box?
Surface area: 2 × w × l + 2 × l × h + 2 × h × w
Answer:
156 in. squared
Step-by-step explanation: