Answer:
from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children
In a pet store, the small fishbowl holds up to 2 2/5 gallons
of water. the large fishbowl holds up to 2 1/3 times as
much water as the small fishbowl.
eloise draws this model to represent the number of
gallons of water the large fishbowl will hold.
how many gallons of water does the large fishbowl
hold?
enter your answer as a mixed number in simplest form
by filling in the boxes.
The large fishbowl hold 5.6 gallons of water. The volume of the large. fishbowl is denoted by y in the given problem.
What is volume?The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic cm.
The volume of the small fishbowl is x
The volume of the large fishbowl is y
From the problem, the large fishbowl holds up to [tex]\rm 2\frac{1}{3}[/tex] times as much water as the small fishbowl.
[tex]\rm y = 2\frac{1}{3} x\\\\\ x= 2\frac{2}{5} =2.4\\\\ y= 2.333\times 2.4 \\\\\ y=5.6 \ gallon[/tex]
Hence, the large fishbowl hold 5.6 gallons of water.
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Which equation represents the graph
shown below?
y
650
600
550
500
450
400
350
300
w
250
200
150
100
50
X
-2
2
4
6
8
10
12
14
16
18
-50
-100
Answer:
y300
Step-by-step explanation:
line graph start at y300
please solve this problem using the pythagorean theorem, and give me the right answer and I will give you brainliest. :)
Two equations are given below:
x - 3y = 9
x = y - 3
Use the substitution method to find the solution of the system in the form (x, y)?
(-9,-6)
(-4,-3)
(-6,-3)
(-9,-7)
Answer:
The answer is option A
Step-by-step explanation:
The solution is in the image
What is the value of the expression shown below?
7 + (2 + 6) 2 ÷ 4 ⋅ 1 over 2 whole to the power of 4
Answer:
7 1/4
Step-by-step explanation:
7+16/4*(1/2)*4
7+16/4*(1/16)
7+4*1/16
7+1/4=7 1/4
I think this is correct
Find the value of B+4 when B=17
Answer:
Step-by-step explanation:
17 + 4 = 21
Answer:
B + 4 = 17+4
21 is the answer
These two cylinders are congruent. cylinder a has a radius of 4 centimeters. cylinder b has a volume of 176π cubic centimeters. what is the height of cylinder b? h = cm
Answer:
Your answer is 11CM
Step-by-step explanation:
The height of cylinder b is 11 cm.
How to measure the volume of a cylinder?The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
[tex]V = \pi.r^2.h[/tex]
Where:
V: volumeπ (Pi): 3r: radiush: heightIn this case, as the cylinders are congruent, both will have the same radius, thus:
[tex]V = \pi.r^2.h\\176\pi=\pi(4)^2(h)\\h=11[/tex]
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A bag contains 4 red marbles, 8 blue marbles and 5 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
0.015
Step-by-step explanation:
We want to know that probability that we draw a green marble for the first AND the second AND the third draws. The act of drawing each marble changes the probabilities of the next draw, so we say that these events (drawing green marbles) are dependent. Mathematically, this means we'll be multiplying the probabilities of each event to get the probability of the whole thing. I'll denote the first, second and third green marble drawing events as A, B, and C.
For our first drawing, we have 5 possible green marbles to pick from out of 4 + 8 + 5 = 17 total marbles, so P(A), the probability of drawing a green marble, is 5/17.
Now, A, B, and C all represent the event of drawing a green marble, but the way they depend on one another is important here. If we want B to be our second draw, it'll depend on what happens in our first draw, A. We call this kind of probability conditional, and we write it as P(B | A), the conditional probability of event B after event A's occurred.
Here, event A is "drawing a green marble." What happens during event A? Well, we draw a green marble, so we have one fewer green marble, and one fewer marble altogether. Our chance of drawing a green marble after event A, P(B | A), is 4/16 or 1/4 then, since we now have 4 green marbles and 16 total marbles.
Using that same reasoning, P(C | B), the probability of event C (drawing a green marble) after event B has occurred, is 3/15, or 1/5, since we'll have 3 green marbles out of 15 total after drawing our second during event B.
Multiplying these all together, we have
if f(x)= x²+x(2a+2b)+4ab-x. f'(x)=....
DON'T COPY PASTE!!! please use the methods and steps
[tex]f(x) = x^2 +x (2a+2b) +4ab-x\\\\f'(x) = 2x+x \cdot 0 + 2a+2b + 0 -1\\\\~~~~~~~~=2x+0+2a+2b-1\\\\~~~~~~~~=2x+2a+2b-1[/tex]
From the definition of the derivative,
[tex]f'(x) = \displaystyle \lim_{h\to0} \frac{f(x+h) - f(x)}h[/tex]
We have
[tex]f(x) = x^2 + x(2a+2b) + 4ab - x = x^2 + (2a+2b-1)x + 4ab[/tex]
and so
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{\left((x+h)^2 + (2a+2b-1)(x+h) + 4ab\right) - \left(x^2 + (2a+2b-1)x + 4ab\right)}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{x^2 + 2xh + h^2 + (2a+2b-1)x + (2a+2b-1)h + 4ab - x^2 - (2a+2b-1)x - 4ab}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} \frac{2xh + h^2 + (2a+2b-1)h}h[/tex]
[tex]\displaystyle f'(x) = \lim_{h\to0} (2x + h + 2a+2b-1)[/tex]
[tex]\displaystyle f'(x) = \boxed{2x + 2a + 2b - 1}[/tex]
Please help me :) .......
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
Transformation techniquesTransformation is a means of changing the size and shape of an object in a xy-plane.
For the given function, its parent function is f(x) = |x|
The expression f(x) = 2|x| shows that the function is vertically stretched by 2 units.
The final expression 2|x+3| shows a vertical compression by 2 units and a horizontal translation to the left by 3units
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Determine the period of the following graph.
Answer:
4π/2
Step-by-step explanation:
Any one full pattern in the graph is called a cycle, and the length of an interval over which a cycle occurs is called the period.
so the distance between the top of the first 2 waves is 4π/2 so thats the peroid
Solve -a/3=18 show work
Step-by-step explanation:
[tex] - \frac{a}{3} = 18 \\ [/tex]
[tex] - a = 18 \times 3 = 54[/tex]
Now change the sign of both side of the equation...
[tex]a = - 54[/tex]
The following curves bound an area: y = 2x + 1, y = -3, and x = 3. Set up the integral to find the VOLUME if this area is revolved about the line x = 3. DO NOT EVALUATE.
First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]
the diameter of circle x is 15 cenimeters. thediameter of circle y is 20 centimenters which measurement is closest to the diffrence between the circumference of circle x and the circumference of circle y in centimenters.
Answer:
15.7cm
Step-by-step explanation:
the circumference of x=L1=2π =15cm
L2=2π =20cm
L2-L1
=20π-15π
=5π
=5×3.14
=15.70cm
Scott rolled a number cube several times and counted how many times he rolled a 3.
If Scott rolls the number cube 300 times, how many times should he predict to roll a 3?
Answer:
if it is a 6 sided cube, then 50
Step-by-step explanation:
300/6=50
Which function has a domain of all real numbers?
Answer:
D
Step-by-step explanation:
[tex]( {2 x})^{ \frac{1}{3} } - 7 = \sqrt[3]{2x} - 7[/tex]
Let U = {1,2,3,4,5,6,7,8,9,10}
Let A = {2,4,6,8,10}
Let B = {1,3,4,6,9}
Determine (A - B)'
Answer:
A-B = {2,8,10]
this is the correct answer
i hope my answer was helpful to you
Rita has a circular hot tub. the hot tub has a circumference of 25.12 feet. it is 3.5 feet deep.
how much water can the hot tub hold?
Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,
Circumference = 2πr
25.12 = 2×π×r
r = 3.9979ft ≈ 4ft
Now, the volume of the tub will be,
Volume = πr²h = π×(4²)×3.5 = 175.929 ft³
Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is
Volume of water = 175 × 28.3168 = 4,981.75 litres
Hence, the amount of water that the tub can hold is 4,981.75 litres.
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the quotient if b and 3 is greater than or equal to 19
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
The quotient of b and 3 is greater than or equal to 19.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
✥First, the word "quotient" indicates that we divide.
Here we have "the quotient of b and 3", so we divide b by 3:-
[tex]\hookrightarrow[/tex][tex]\sf{b\div3}[/tex]
Now, this expression is greater than or equal to 19:-
[tex]\sf{b\div3\geq 19}[/tex]
How to Solve for b
✳︎ Multiply by 3 on both sides:-
[tex]\sf{b\geq 19\times3}[/tex]
On simplification,
[tex]\sf{b\geq 57}[/tex]
So the values of b greater than or equal to 57 will make this inequality true.
Let's solve another one.
✳︎ A number y increased by 5 is at least -21.
First, "increased" means we add 5.
Since y is increased by 5, we add 5 to y:-
[tex]y+5[/tex]
Now this expression is at least -21, which means it can't be less than -21, thus, it's greater than or equal to -21, which looks as follows:-
[tex]\sf{y+5 \geq -21}[/tex]
[tex]\rule{300}{1}[/tex]
[Solving for y]
Subtract 5 on both sides:-
[tex]\sf{y \geq -21-5}[/tex]
On simplification,
[tex]\sf{y \geq -26}[/tex]
So the values of y greater than or equal to -26 will make this inequality true.
Good luck with your studies.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
please help me!! what would x be?? solve for X
Answer:
x = 14
Step-by-step explanation:
The different types of angle relationships:
Supplementary Angles : Supplementary angles are two angles that form a line, the sum of the two angles is 180 degreesComplementary Angles : Complementary angles are two angles that form a right angle , the sum of the two angles is 90 degreesVertical Angles : Vertical angles are angles opposite of each other formed on intersecting lines, the two angles are congruent ( equal to each other )Based off of these three angle relationships we can identify the two angles as supplementary angles as the two angles shown form a line therefore we know the sum of those two angles is 180 degrees. Knowing this we can create an equation.
Creating an equation:
We know that the two angles are supplementary angles and we also know that supplementary angles add up to 180 degrees. So the sum of the two expressions represented by the two given angles must equal 180.
In other words 9x - 14 + 5x - 2 = 180
Solving for x
Know that we have created an equation we can solve for x algebraically.
9x - 14 + 5x - 2 = 180
==> combine like terms
14x - 16 = 180
==> add 16 to both sides
14x = 196
==> divide both sides by 14
x = 14
And we are done!
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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
[tex] \textbf{Let's solve for x } [/tex]~
[tex] \textsf{As we can see, the sum of measures of the} [/tex][tex] \textsf{ marked two Angles is equal to 180° } [/tex]
[tex] \texttt{[ by linear pair property ]} [/tex]
[tex]\qquad \sf \dashrightarrow \:9x - 14 + 5x - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:9x + 5x - 14 - 2 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x - 16 = 180[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 180 + 16[/tex]
[tex]\qquad \sf \dashrightarrow \:14x = 196[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 196 \div 14[/tex]
[tex]\qquad \sf \dashrightarrow \:x = 14[/tex]
[tex] \texttt{Therefore, the value of x is 14} [/tex]
I Hope you understood the whole procedure ~
The first rule is add 2 starting from 0. The second rule is add 6 starting from 2. What is the third ordered pair using the terms in each sequence?
(6, 20)
(2, 8)
(8, 26)
(4, 14)
Answer:
I think it would be 2,8
Step-by-step explanation:
hope it helps u
Vectors u, v, and w are shown in the graph. What are the magnitude and direction of u + v + w?
Magnitude and direction of u + v + w is equals to 57.871 and 19°.
What is vectors?"Vectors are those quantity of which represents both direction as well magnitude."
According to the question,
As shown in diagram we have,
u + v + w
= (wcos30°)[tex]\^{i}[/tex] + (wsin30°)[tex]\^{j}[/tex] +(vcos20°)[tex]\^{j}[/tex] - (vsin40°)[tex]\^{i}[/tex] -(ucos40°)[tex]\^{i}[/tex] -(usin40°)[tex]\^{j}[/tex]
= ( wcos30° - vsin40° - ucos40°)[tex]\^{i}[/tex] + (wsin30°+ vcos20° - usin40°)[tex]\^{j}[/tex]
Substitute the value of ║w║ = 40 ,║v║=60,and ║u║= 90 we get,
u + v +w
= ( 40cos30° - 60sin40° - 90cos40°)[tex]\^{i}[/tex] + (40sin30°+ 60cos20° - 90sin40°)[tex]\^{j}[/tex]
= (20√3 - 20.5212 - 68.9440)[tex]\^{i}[/tex] + ( 20 +56.3816 - 57.8509)[tex]\^{j}[/tex]
= ( -54.8242)[tex]\^{i}[/tex] + (18.5307)[tex]\^{j}[/tex]
Therefore,
Magnitude = √(-54.8242)² +(18.5307)²
=√3349.0798
= 57.8712
tanθ = ( 0.3380)
⇒θ = tan⁻¹ (0.3380)
= 18.67
≈ 19°
Hence, magnitude and direction of u + v + w is equals to 57.871 and 19°.
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I need some help on this question please
Answer:
D
Step-by-step explanation:
everything that should happen at x+4 happens now at x. that is what that means.
so, the graph shifts 4 units to the left.
A child grew 3 1/4 inches one year and 4 3/4 inches the next year. How many inches did the child grow over the two years?
Answer:
For the child 8 in.,
for the image(B) 9 1/4in
Step-by-step explanation:
Answer:
B. 9 1/4
Step-by-step explanation:
Covert 1/2 into 4ths.
3 2/4 + 5 3/4= 7 5/4 = 9 1/4
Hope this helps
hi I'm having some trouble
Answer:
4-4
Step-by-step explanation:
Substitute the actual values of the points into the distance formula.
pleas send help this is due today
Answer:
y = -3x
Step-by-step explanation:
Equation of the line going through the origin: y = mx
Substitute any point in the above equation.
Here, Chosen point( 1 ,-3)
-3 = m*1
m = -3
Equation of the line: y = -3x
solve the inequality 9.5+6x>=42.1
Answer:
x >/= 8.6
Add 9.5 to 42.1 then divide by 6
Step-by-step explanation:
I need help with this geometry problem.
Answer:
m<1 = 48 m<2=12.6 m<3= 48
Step-by-step explanation:
96 ÷ 2 =48
38÷3= 12.6
48
What is the Area of the circle in pi units if the diameter is 6 cm?
Answer:
9π cm
Step-by-step explanation:
Given diameter of circle (d) = 6cm
radius (r) = d/2 = 6/2 = 3cm
Area of circle = πr²
= π × 3²
= π × 9
= 9π
The area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
What is the area of the circle?
The area of the circle is the space occupied by it. It is the product of pi and square of its diameter divided by 4. The area of the circle can be given as,
[tex]A=\pi\dfrac{d^2}{4}[/tex]
Here (d) is the diameter of the circle. The diameter of the circle is 6 cm.
[tex]d=6[/tex]
Put this value in the above formula to find the area of the circle as,
[tex]A=\pi\dfrac{6^2}{4}\\A=\pi\dfrac{36}{4}\\A=\pi\times9\\A=9\pi\rm\; cm[/tex]
Thus, the area of the circle in pi units when the diameter of this circle is 6 centimeters is 9π centimeters.
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If the cost of labor in the united states is five times greater than the cost of labor in
asia, how much would it cost to produce a pair of nike athletic shoes in the united
states? assuming that all other costs remain the same and the shoes would still sell for
$65 a pair, what would be the percentage difference in profit realized
Therefore the percentage difference in profit realized will be 66.67 % .
What is Profit ?Profit, is net income earned after subtracting all dollar costs from total revenue.
In effect, it shows the amount of money a firm has left over after deducting the explicit costs of running the business.
Suppose all the charges for making the shoes is x (other than the labour charge)
Labor charge in Asia is y
And as given in the question Labor Charge in United States is 5y
The final cost off the shoes is $65
Profit in asia = (65-x-y)
Profit in United States = (65-x-5y)
Let's use trial and error method to understand this
suppose the making cost is x = $10 and the labor charge in asia is $5 per shoes so
Profit in Asia = 65-10-5 = $50
Profit in United Stated = 65- 10-25 = $30
the percentage difference in profit realized
= (50-30) * 100 /30
= 2000/30 = 200/3 = 66.67%
Therefore the percentage difference in profit realized will be 66.67 % .
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