The total dimension of the aquarium that will be cleaned by Steve will be 94 meters.
How to illustrate the dimensions?Your information isn't given. Therefore, an overview will be given. In this case, let's assume that the aquarium is rectangular. Let's assume the dimensions are 20m by 27m.
In this case, since she needs to clean the four walls of the aquarium, the total distance that will be cleaned will be:
= 2(Length + Width)
= 2(27 + 20)
= 2 × 47
= 94m
In conclusion, 94m will be cleaned.
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Find m These questions getting hard
Answer:
the
Step-by-step explanation:
it's fairly easy actually. You just have to use sin
The Smiths went to the Cape for a wedding. They left at 11 a.m. They traveled 180 miles and drove at 60 miles per hour. What time did they reach their destination"
O 1:00 p.m.
Answer:
I think it should be 1 pm
Step-by-step explanation:
The Smiths left at 11 am and traveled 180 miles. If they drive at 60 miles per hour, that means that they traveled for 2 hours because 180 divided by 60 is two. That means they traveled for 2 hours and arrived at 1 pm.
Indicate a general rule for the nh term of this sequence.
12a, 15a, 18a, 21a, 24a,...
Answer:
The general rule for the nth term of this sequence will be:
\(a_n=3na+9a\)
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
\(a_n=a_1+\left(n-1\right)d\)
substituting a₁ = 12a, d = 3a
\(a_n=12a+\left(n-1\right)3a\)
\(=12a+3na-3a\)
\(=3na+9a\)
Therefore, the general rule for the nth term of this sequence will be:
\(a_n=3na+9a\)
What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Answer: Parallelogram JKLM is shown on the coordinate plane below:
Parallelogram JKLM with ordered pairs at J negative 6, 2, at K negative 4, 6, at L negative 3, 3, at M negative 5, negative 1.
If parallelogram JKLM is rotated 270° clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the image parallelogram?
J′(−2, −6); M′(1, −5)
J′(6, 2); M′(−5, 1)
J′(2, 6); M′(−1, 5)
J′(6, −2); M′(5, 1)
Step-by-step explanation:
Maine has a cold climate in the winter. What is the probability of the temperature falling below 32 Fahrenheit in Maine during the month of January.
The probability is closer to one than zero.
Probability theory is used to analyze and predict the likelihood of events happening in various fields such as statistics, gambling, physics, finance, and more. It allows us to make informed decisions based on the likelihood of different outcomes. In probability theory, the total number of possible outcomes is important to determine the probability of a single event occurring. By comparing the favorable outcomes to the total outcomes, we can calculate the probability of an event happening.
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event. Probability for Class 10 is an important topic for the students which explains all the basic concepts of this topic. The probability of all the events in a sample space adds up to 1.For example, when we toss a coin, either we get Head OR Tail, only two possible outcomes are possible (H, T). But when two coins are tossed then there will be four possible outcomes, i.e {(H, H), (H, T), (T, H), (T, T)}.
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In a lab experiment, 610 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 23 hours. How long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present?
Answer:
It would take 19 hours and 36 minutes until there are 1040 bacteria present.
Step-by-step explanation:
Given that in a lab experiment, 610 bacteria are placed in a petri dish, and the conditions are such that the number of bacteria is able to double every 23 hours, to determine how long would it be, to the nearest tenth of an hour, until there are 1040 bacteria present, the following calculation must be performed:
610X = 1040
X = 1040/610
X = 1.7049
2 = 23
1.7049 = X
1.7049 x 23/2 = X
39.2131 / 2 = X
19.6 = X
100 = 60
60 = X
60 x 60/100 = X
36 = X
Therefore, it would take 19 hours and 36 minutes until there are 1040 bacteria present.
Rewrite the polynomial in the form ax^2 + bx + C and then identify the values of a, b, and c.
I really need help ):
Answer:
\(a = 5\\\\b = -1\\\\c=1\)
Step-by-step explanation:
Given
\(-x+5x^2+1\)
Required
Rewrite and identify a, b and c
The required form is:
\(ax^2 + bx + c\)
Equate both expressions
\(ax^2 + bx + c = -x+5x^2+1\)
Rewrite as:
\(ax^2 + bx + c = 5x^2-x+1\)
Compare the expressions on either sides
\(a = 5\\\\b = -1\\\\c=1\)
6. Here is a data set:
5
10
10
10
15
100
a. After studying the data, the reasearcher realized that the value 100 was meant
to be recorded as 15. What happens to the mean and standard deviation of the
data set when the 100 is changed to a 15?
b. For the original data set, with the 100, would the median or the mean be a
better choice of measure for the center? Explain your reasoning.
The mean and standard deviation will change. Because it will not change in this case, the median is a better measure of the center. Given that the value 100 was changed to 15, the value of the mean will decrease because there is now a lower total value. As a result, the standard deviation will be reduced as well. Yes, the median is the better option. This is due to the fact that changing the value of 100 to 15 does not change the value of the median, and thus the previous information would not be changed if the median we used was.
what is 37 x 10 to the point of 2 what is the answer
Answer:
136,900
Step-by-step explanation:
If you mean 'to the power of 2', then you're talking about exponents.
37 times 10 equals 370.
370 to the power of 2, or 370 x 370, equals 136, 900.
370
+ 370
______
136,900
Rectangle LMNO has vertices L(–4,6), M(–1,6), N(–1,2), and O(–4,2). Suppose you first reflect this rectangle across the y-axis. Then, translate it down four units and to the left one unit. Where are the corresponding vertices L′M′N′O′ located?
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
Vertices of a rectangle LMNO are L(-4, 6), M(-1, 6), N(-1, 2) and O(-4, 2).
If a point (x, y) is reflected across y-axis, rule to be followed,
(x, y) → (-x, y)
After reflection across y-axis new ordered pairs will be,
L(-4, 6) → L"(4, 6)
M(-1, 6) → M"(1, 6)
N(-1, 2) → N"(1, 2)
O(-4, 2) → O"(4, 2)
Then these points were translated 4 units down and 1 unit left,
Rule to be followed for the translation will be,
(x'', y'') → [(x' - 1), (y' - 4)]
By this rule vertices of the rectangle after translation will be,
L''(4, 6) → L'(3, 2)
M''(1, 6) → M'(0, 2)
N''(1, 2) → N'(0, -2)
O''(4, 2) → O'(3, -2)
Answer:
L'(3, 2)
M'(0, 2)
N'(0, -2)
O'(3, -2)
Step-by-step explanation:
C.is decrease by 1 foot every 500 miles D. Is decrease by 1 foot every 1000 miles
Answer:
Option A
Step-by-step explanation:
Slope of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by,
Slope = \(\frac{y_2-y_1}{x_2-x_1}\)
Line shown in the graph is passing through two points (2, 8000) and (4, 7000).
Therefore, slope of the given line = \(\frac{8000-7000}{2-4}\)
= -500 feet per mile
Which means, altitude decreases by 500 ft every mile.
(Negative sign represents the decrease)
Option A is the correct option.
In AABC, centroid D is on median aM. AD = x + 5 and DM = 2x - 1. Find AM.
The centroid divides the median AM into a ratio of
The length of AM is 11 units.
The ratio of centroid is represented as:
AD:AM = 2:1
Express as a fraction
AD/AM = 2/1
AD = 2DM
substitute the values for AD and DM
(x+5) = 2(2x-1)
x+5=4x-2
Collect the like terms:
x-4x = -2-5
-3x = -7
x = 7/3
The length of the side AD can be calculated as :
DM = 2(7/3) - 1
= 14/3 - 1
14-3/3
= 11/3
The length of AD :
= 7/3 + 5
= 22/3
The length of AM :
AM = AD+DM
= 11/3+22/3
= 33/3
= 11 units
Hence the length of AM is 11 units.
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Simplify the expression and write your answer in
scientific notation: (1.9 X 10^5)^3
Answer:
\( {(1.9 \times {10}^{5}) }^{3} \)
open the bracket:
\( = {1.9}^{3} \times {10}^{(5 \times 3)} \\ { \boxed{= 6.859 \times {10}^{15} }}\)
The shape below is made of two rectangles joined together.
9 cm
5 cm
8 cm
5 cm
Find the total area of the shape.
Optional working
Answer:
a=7, b=3
Step-by-step explanation:
Subtracting, we get the area of QRXY is 63 cm².
Using the area formula of a rectangle, we get 9a=63, and thus a=7.
Using the area formula again on triangle PXYS, 7b=21, and thus b=3.
The value of side 'a' is 7cm and side b is 3 cm.
What is an area?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
It is given that the area of PQRS is 84 square cm and the area of PSYX is 21 square cm.
The area of QRXY is calculated as,
Area QRXY = 84 - 21
Area QRXY = 63 square cm
The side a will be calculated as,
a x 9 = 63
a = 63 / 9
a = 7 cm
The side of b will be,
b x 7 = 21
b = 21 / 7
b = 3 cm
Therefore, the value of side 'a' is 7cm and side b is 3 cm.
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Factor 21x^2 - 14x - 56
Answer:
7((x-2)(3x+4))
Step-by-step explanation:
Common factor of 7 in this quadratic formula. \(7(3x^2-2x-8)\); -8 * 3x^2 = -24x^2, now find factors of this product that equal to -2x when added. The factors that fit this is -6x and 4x. So, if you make a generic rectangle you can find the product. You get 7((x-2)(3x+4))
The school cafeteria is thinking of introducing a vegetarian pizza to the menu. Which
sampling technique would you recommend to determine which of three possible
toppings should be used? Explain your recommendation. [C -2]
4.
I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.
What is simple random sampling suitable?It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.
By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.
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Which of the following random variables are discrete?
I. L= the number of pages in a randomly selected book
II. A = the number of leaves on a randomly selected tree
III. K= the height of a randomly selected NBA player
a. I only
I and II
b. II and III
c. II and III
d. l,ll, lll
Answer:
Step-by-step explanation:
I and II
Pages in a book and leaves on a tree can be counted precisely. They are discrete.
The height of a person cannot be measured exactly. We can get very good
approximations (to a lot of decimal places) but never exact. This is continuous.
Audrey is growing basil. On February 1st, her plant was 5 inches tall. A week later, the plant was 9 inches tall. By what percent did the plant grow?
Answer:
80%
Step-by-step explanation:
We know that the plant was 5 inches and it grew 4 inches to become 9 inches, so now we just need to figure out what percentage 4 is of 5. An easy way to do this is by multiplying 5 by 2 to get 10 and since 4 is 40% of ten we know that 4 is 80% of 5 because we have to multiply 4 by 2 because we did 5.
the plant grew by 80%.
Step-by-step explanation:
on a larger map the coordinates for the location of another Washington DC landmark are eight and -10 in which quadrant of the map in this landmark located explain
The other Washington DC landmark with coordinates (8,-10) is located in the fourth quadrant of the map.
To determine in which quadrant of the map a point with coordinates (8,-10) is located, we need to look at the signs of the x and y coordinates.
Since the x-coordinate (8) is positive and the y-coordinate (-10) is negative, this point is located in the fourth quadrant.
In general, the four quadrants of a Cartesian coordinate system are divided by the x and y-axes.
The first quadrant is located in the upper right-hand corner and contains points with positive x and y coordinates.
The second quadrant is located in the upper left-hand corner and contains points with negative x and positive y coordinates.
The third quadrant is located in the lower left-hand corner and contains points with negative x and y coordinates.
Finally, the fourth quadrant is located in the lower right-hand corner and contains points with positive x and negative y coordinates.
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Please help! Due tommrow!
Divide: 2/3 “ fraction “ divided by 3/4 “ fraction!
Express you’re answer in simplest form
Answer:
8/9
Step-by-step explanation:
find the Least Common denominator, then change the numerators as need. Divide, then simplify
It takes 3men 5 hours to repair a road.how long will it take 5 men to do the job if they work at the same rate
Answer:
3 hours
Step-by-step explanation:
3 Men-5 hours
5 men-?
1 man-3×5= 15 hours
therefore 5 men =15÷5= 3 hours
a company was offering a special on cell phones for $3 each but only if you spent 5 dollars a month for 2 months how much would it end up costing you total if u bought 1 phone ?
Answer:
10 dollars
Step-by-step explanation:
5 + 5
What is the distance between point T (-5,1) and point I (-1,1)
The distance between point T (-5, 1) and point I (-1, 1) is 4 units.
To find the distance between two points, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = √((x2 - x1)² + (y2 - y1)²)
Let's apply this formula to find the distance between point T (-5, 1) and point I (-1, 1):
x1 = -5, y1 = 1 (coordinates of point T)
x2 = -1, y2 = 1 (coordinates of point I)
Plugging these values into the formula, we have:
Distance = √((-1 - (-5))² + (1 - 1)²)
= √(4² + 0²)
= √(16 + 0)
= √16
= 4
Therefore, the distance between point T (-5, 1) and point I (-1, 1) is 4 units.
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You have 15 marbles in a bag; 5 are red. If you pull out five marbles in a row and don't put
them back in, what are your chances of pulling all 5 red marbles? Decimal answer please.
Step-by-step explanation:
0.33 so says my mother bc she divide
Answer:
The probability of drawing a different marble is 0.25. The probability of drawing a red marble = 0.5
I do not know if this is correct please forgive me if I am wrong.
If I am right hope this helps!
Find the constant proportionality for the ratio 4/7
but the answer is y
Step-by-step explanation:
yauyy
Leah scored 34 points in the first half of the basketball game, and she scored y points in the second half of thegame. Write an expression to determine the number of points she scored in all. Then, find the number of pointsshe scored in all if she scored 15 points in the second half of the game.0 34 - y: 19 pointsO 34/y; 19 pointsO 34 + y; 49 pointsO 34y; 49 points
Given,
Leah scored 34 points in the first half and she scored y points in the second half of the game.
Thus total points scored is 34+y.
Now in the second half she scored 15 points.
Thus total points scored is 34+15=49 points.
Thus the answer is:
34+y, 49 points.
Graph the linear equation.
x = 6
Use the graphing tool to graph the linear equation.
The graph of the linear equation, x = 6, is shown in the image attached below.
How to Graph the Equation of a Vertical Line?The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.
Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.
Thus, the graph of the linear equation, x = 6, is shown in the image attached below.
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The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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Jenny and Johnny are planning their wedding. They do not want to spend more than y dollars for the band and the food at the reception. The band charges $3,500 for the night and the food costs $25 per person. Which of the following inequalities represents this situation, where x is the number of people they invite? A. $3,500 + $25x > y B. $25 + $3,500x > y C. $25 + $3,500x < y D. $3,500 + $25x < y
Answer:
$3,500 + $50x < y
Step-by-step explanation: