A cube-shaped aquarium has edges that are 1.75 ft long. the aquarium is filled with water that has a density of 72" lb/f" "t" ^3.
(a) should the aquarium be placed on a table that can support a maximum weight of 150 lb? explain why or why not.
(b) would the density of the water change if the aquarium was only half full? explain.
Answer:
No and the density changes along with the weight.
Answer:
(a) No. The weight is more than 150 lb.
(b) No. Density is not a function of volume.
Step-by-step explanation:
The weight of the aquarium is the product of the volume and the density of the contents.
(a)The volume of the aquarium is the product of its dimensions:
V = LWH = (1.75 ft)(1.75 ft)(1.75 ft) = 1.75³ ft³ = 5.359375 ft³
The weight of its contents, at 72 lb/ft³ will be ...
(72 lb/ft³)(5.359375 ft³) = 385.875 lb
The aquarium should not be placed on the table. The weight of the aquarium is too great for the load limit of the table.
__
(b)The density of water is the ratio of its mass to its volume. Density does not change with depth or volume. It is essentially constant. (Water is considered to be virtually incompressible. Its density changes slightly with temperature,)
No, the density of the water would not change.
_____
Additional comments
The half-full aquarium would weigh about 385.875/2 lb ≈ 194 lb. This is still too heavy for the table.
The density of water is actually about 62.4 lb/ft³. We assume the extra 10 lb/ft³ might take into account the weight of the aquarium and any gravel or other non-water content.
help me with this pls
Answer:
a. 1 triangle
Step-by-step explanation:
measure line QS=8.cm measure 85°on side Q
Answer:
will construct 1 triangle
Step-by-step explanation:
construct a line of Q to S 8cm
SQR let the angle stay in the middle of the letter (Q)
Q to R is 5cm
pls pls pls help me i am giving you a ton of points and pls explain how you got the answer.
The expected value of the defective skateboard will be 4/25. Then the correct option is B.
What is probability distribution?Probability distribution of a random variable is the collection of value and its probability pair for values of that considered random variable.
It might be a function, a table, etc.
The table is shown below.
Then the expected value of the defected skateboard will be
p = 0 x 9/10 + 1 x 1/20 + 2 x 1/25 + 3 x 1/100
p = 1/20 + 2/25 + 3/100
p = 5/100 + 8/100 + 3/100
p = 16/100
p = 4/25
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The mean number wins of a team is 37 wins that is normally distributed. The standard deviation is 3 wins. What would be the sections that are one standard deviation from the mean? Select all that apply.
31
34
37
40
43
Using the normal distribution, it is found that the sections that are one standard deviation from the mean are 34 and 40.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The mean and the standard deviation are given, respectively, by:
[tex]\mu = 37, \sigma = 3[/tex]
The measures that are one standard deviation from the mean are given by X when Z = -1 and Z = 1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1 = \frac{X - 37}{3}[/tex]
X - 37 = -3
X = 34
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1 = \frac{X - 37}{3}[/tex]
X - 37 = 3
X = 40
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How do you find area of a figure ?
Length × Width = Area
Answer:
The length x the widith. If there's more then 4 sides I think you just multiply them all together
Step-by-step explanation:
Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection. what is the total number of masks in emma's collection?
Answer:
262 Masks
Step-by-step explanation:
190×0.38=72.2 but there cannot be 0.2 masks so it becomes 72. 190+72=262.
The total number of masks in Emma's collection is 262 Masks.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that Emma has a mask collection. she keeps 190 of the masks on her wall, which is 38% of her entire collection.
The total number of masks will be calculated as,
190×0.38=72.2
But there cannot be 0.2 masks so it becomes 72.
Total mask = 190+72
Total mask =262.
Therefore, the total number of masks in Emma's collection is 262 Masks.
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What is the value of 64-9.41?
Answer:
54.59
Step-by-step explanation:
carry the 10 over and 1-.41 is .59
hi can you ya'll help me
Step-by-step explanation:
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
Simplify,then combine each:
[tex] = 4 \sqrt{3} [/tex]
or
[tex]3 \sqrt{3 \:} + \sqrt{3} [/tex]
=5.196+1.732
=6.928
[tex] \approx6.930[/tex]
GIVING BRAINLIESTT!!
Answer:
15) A
Step-by-step explanation:
4x-2 + 7x + 17 = 180
11x + 15 = 180
11x = 165
x = 15
Because the two angles (4x-2 and 7x+17) are linear, we can say that they add up to 180 degrees.
4x-2+7x+17 = 180 Now, simplify like terms
11x + 15 = 180
11x = 165
x = 15
Thus, the value of x would be 15 (choice 1)
What's the sequence and drawing scheme of f(x)=x^(1/3)?
Find the equation of the line parallel to 6x+5y=1 and passing through (-4,-2)
Hi Student!
The first step that we need to take before trying to solve the problem is that we need to take out important information from the problem. The first important piece of information that is given to us is that we are trying to find an equation of a line that is parallel to a different line. This means that our slope is going to be the same as the initial line given. The second piece of information that is given is a point through which our line passes through which will help us greatly when solving for our line.
The next step that we must take is to solve for y in the given equation so we can see what the slope is.
Subtract 6x from both sides
[tex]6x + 5y = 1[/tex][tex]6x - 6x + 5y = 1 - 6x[/tex][tex]5y = 1 - 6x[/tex]Divide both sides by 5
[tex]\frac{5y}{5} = \frac{1 - 6x}{5}[/tex][tex]y= \frac{1}{5} - \frac{6x}{5}[/tex][tex]y=- 1.2x+ 0.2[/tex]Now that we have completely solved for y, we can see that the slope is -1.2 using the y = mx + b formula which states that m is the slope.
Moving onto the next step, we must use the point-slope formula to determine what the new equation is that has the same slope and passes through (-4, -2).
Insert the Values
[tex](y-y_1)=m(x-x_1)[/tex][tex](y-(-2))=-1.2(x-(-4))[/tex]Simplify the Equation
[tex]y+2=-1.2(x+4)[/tex]Distribute the Equation
[tex]y+2=(-1.2*x)+(-1.2*4)[/tex][tex]y+2=-1.2x-4.8[/tex]Subtract 2 from both sides (to isolate y)
[tex]y+2 - 2=-1.2x-4.8- 2[/tex][tex]y=-1.2x-6.8[/tex]Therefore, our final answer for the equation of the line parallel to 6x + 5y = 1 and that passes through (-4, -2) is y = -1.2x - 6.8.
can someone help me with this thank you
10+5h = 25
thank you thank you thank you
Answer:
h=3
Step-by-step explanation:
Here's the explanation
Move 10 to the other side
5h=25-10
5h=15
h=15/5
h=3
10+5h=25
10+5h-10=25-10
5h=15
[tex]\frac{5h}{5}=\frac{15}{5}[/tex]
h=3
the answer is 3
Which inequality has an open circle when it is graphed on a number line?
x greater-than three-fifths
StartFraction 4 over 7 EndFraction greater-than-or-equal-to x
x less-than-or-equal-to 12
x greater-than-or-equal-to negative 6
Answer:
A.) X greater than 3/5
Open circles are used for numbers that are less than or greater than (< or >). Closed circles are used for numbers that are less than or equal to and greater than or equal to (≤ or ≥).
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
The correct inequality that has an open circle when it is graphed on a number line is,
1) x greater-than three-fifths
We have to given that,
All the expressions are,
1) x greater-than three-fifths
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x
3) x less-than-or-equal-to 12
4) x greater-than-or-equal-to negative 6.
We can write all the inequality as,
1) x greater-than three-fifths
⇒ x > 3/5
Since, it has symbol '>' which represent open circle.
Hence, It is true.
2) Start Fraction 4 over 7 End Fraction greater-than-or-equal-to x.
4/7 ≥ x
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
3) x less-than-or-equal-to 12
x ≤ 12
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
4) x greater-than-or-equal-to negative 6.
x ≥ - 6
Since, it has symbol '≥' which represent closed circle.
Hence, It is not true.
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what is 16/18 and 4/18 in its simplest form ?
Answer:
in fractions
16/18 = 8/9
4/18 = 2/9
Answer:
8/9 and 2/9
Step-by-step explanation:
for 16/18
divide the numerator and denominator by 2 to option it's simplest form
16/18÷2/2 = 8/9
for 4/18
also divide the numerator and denominator by 2 to get the simplest form.
4/18 ÷2/2= 2/9
I need help with this one pls
Answer:
5/8
Step-by-step explanation:
question on similar triangles attatched
Answer:
h = 24 cm
Step-by-step explanation:
The triangles are similar.
Their dimensions are proportional.
Finding scale factor :
DC/AE10/201/2Finding h :
h + h/2 = 363h/2 = 363h = 72h = 24 cmQUESTION 3 Simplify the following expression 3.1.1 Add:-4
x+6+11x - 5
Answer:
-24 + (-55) = -79
Step-by-step explanation:
-4x+6+11x - 5
Step-by-step explanation:
[tex] = x + 6 + 11x - 5[/tex]
Organize the expression....
[tex] = x + 11x + 6 - 5[/tex]
Simplify the expression...
[tex] = 12x + 1[/tex]
...
Overall, about how many students prefer literature (poems, plays, or novels)?
I need help i sent in the graph
Answer:
3/8 or 37.5 percent, if there were 200 students there would be 75 students who enjoy literature.
A triangle has sides with lengths of 30 millimeters, 40 millimeters, and 48 millimeters. Is it a
right triangle?
yes
no
Answer:
No, because a right angle must not have the least 90°/. degrees c
Regardless of how the graph is oriented in the standard
(x,y) coordinate plane, NO graph in one of the
following categories has a vertical line of symmetry.
Which one?
F. Line
G. Square
H. Pentagon
J. Parallelogram
K. Scalene triangle
Answer:
the answer is j because it's impossible to draw a line through the center of any parallelogram that divides the figure into two equal halves that are mirror images of each other
Out of the given options, the shape that does not have a vertical line of symmetry is J. Parallelogram.
The correct answer is J. Parallelogram.
A vertical line of symmetry means that if a line is drawn vertically through the shape, the two halves will be mirror images of each other.
In the case of a line (F), it is one-dimensional and does not have an area, so it does not have any symmetry.
A square (G) has four sides of equal length and four right angles. It has both vertical and horizontal lines of symmetry, dividing it into four congruent quadrants.
A pentagon (H) is a five-sided polygon. Depending on its shape and orientation, it may or may not have a vertical line of symmetry. For example, a regular pentagon does have a vertical line of symmetry, while an irregular pentagon may not.
A parallelogram (J) is a four-sided polygon with opposite sides that are parallel and equal in length. It does not have a vertical line of symmetry because its opposite sides are not mirror images of each other.
A scalene triangle (K) is a triangle with no equal sides or equal angles. It does not have a vertical line of symmetry because its sides and angles are not symmetric.
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Find the surface area of the cone to the nearest square unit. Use π = 3.14.
Answer:
339.12 cm²
Explanation:
surface area of cone: πr² + πrl
where "r" is radius, "l" is slant height
Here given:
radius: 6 cmslant height: 12 cmSolve for surface area:
πr² + πrl(3.14)(6)² + (3.14)(6)(12)113.04 + 226.08339.12 cm²So
TSA
πr(r+l)π(6)(6+12)6π(18)108π339.12cm²If anyone can help me with this, please feel free to answer
Pam has 15 candies in a jar, her sister threw in some more ( the ones she doesn’t like) and now Pam has 27. Write an equation to determine how many candies ( x) her sister put in the jar. Solve using both inverse operations and balance scale.
Answer:
Step-by-step explanation:
Number of candies that her sister gave = x
Total candies that Pam has now = 27
x + 15 = 27
Inverse operation:
x + 15 = 27
x + 15 - 15 = 27 - 15
x = 12
Answer:
Equations :
27 - 15 = x
15 + x = 27
Step-by-step explanation:
So, we know that 1. Pam starts with 15 candies. and 2. Pam ends up having 27 candies. This means, that she gained candy.
To figure out how many candies her sister gave, her, we have to find the difference between 27 and 15 becuase she goes from having 15 to having 27 after her sister had given some.
x will represent how many cadies Pams' sister had given her :
27 - 15 = x
12 = x
This means Pams' sister gave 12 candies to Pam. To make sure we are correct, we can simply start with how many candies Pam started with (15). And add how many we think her sister added (12)
15 + 12
15 + 12 = 27
Therefore proving, and meaning, that Pams' sister gave her 12 candies.
Possible Equations :
27 - 15 = x
End total (27) minus starting total (15).
15 + x = 27
Starting total (15) plus how many she gained (x) equal to end total (27).
Please help me with my math please.?
Answer:
x = 6, y = 0, m = -1
y = mx + b
0 = -1(6) + b
0 = -6 + b
6 = b
y = -1x + (6)
Step-by-step explanation:
^^^
See answer, pretty simple.
So
equation
y=mx+b0=-1(6)+bb-6=0b=6So equation
y=-x+6please help i really need it
Answer:
6/63
Step-by-step explanation:
To find the probability in fraction form you must first add all the evidence together and then use that number as the denominator
Answer:
2/21
Step-by-step explanation:
There were a total of 7+6+12+19+19=63 spins, 6 of which blue.
So, you can make the fraction 6/63=2/21 to represent the probability of the spinner landing on blue the next spin
Determine the domain and the range of the relation, and tell whether the relation is a function.
{(10,10), (26,−6), (40,10), (10,1), (56,1)}
Answer:
Step-by-step explanation:
How do you tell if a relation is a function using domain and range?
Find the domain by listing all the x values from the relation. Find the range by listing all the y values from the ordered pairs. Repeated values within the domain or range don't have to be listed more than once. In order for a relation to be a function, each x must correspond with only one y value.
which means
There is not a function
because the domain value 10 is paired with both and 10 and 1
and the domain is 10,26,40,56
NEED HELP PLEASE ANSWER ASAP! (45)
Answer:
45. (4) (2, 2)
Step-by-step explanation:
Question 45
Equate the equationsx = x² - 2x² - x = 2x(x - 1) = 2Solutions
x = 2x - 1 = 2 ⇒ x = 3We'll take x = 2 as no options with x = 3 are listed.
y = xy = 2Ordered pair
(x, y)(4) (2, 2)The ratio of cats to dogs is
4:5. If there are 20 dogs,
how many cats are there?
29
Answer:
16
Step-by-step explanation:
Since the common ratio between cats and dogs is 4:5. We want to know cat and dogs in the ratio X:20. Thus, we can set up the equation as 4/5=X/50. Cross multiplication gets us 80=5X Solving for we get that 80/5 =X....16 =X Now, we know that the number of cats there are is 16
1. The height of a right triangular prism is 1 5/6 inches. Each side of the triangular base measures 10 inches, and the height of the base is 8 2/3 inches. The triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
What is the surface area of the solid formed?
If the height of a right triangular prism is 1 5/6 inches. The surface area of the solid formed is: 598.33 in².
Surface areaFirst step
Right triangular prism=1 5/6 inches= 11/6 inches
Height of the base=8 2/3 inches = 26/3 inches
Second step
Surface area = 5(10× 10) + (0.5÷ 10 × 26/3) + 3(10× 11/6)
Surface area = 5(100) +43.33+ 3(18.33)
Surface area = 500) +43.33 + 55
Surface area = 598.33 in²
Therefore the surface area of the solid formed is about 598.33 in²
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Help me with this question please
Volume of a Cylinder = pi x r^2 x height
diameter = 10, so radius = 5
height = 6
Volume = pi x 5^2 x 6
Volume = pi x 25 x 6
Volume = 150pi
Answer: 150pi cubic feet
Hope this helps!
(3,-3) and (2,-6) as a linear equation in y=mx+b form
Answer:
y=3x-12
Step-by-step explanation:
We need to find the m of y = mx+b which is the slope:
-3-(-6)/3-2 = 3 as our slope
We know have y = 3x+b.
If we keep applying slope to the point (2,-6) and go downwards. We hit (0,-12). That's our y intercept. So we replace b with our y intercept which is -12. We know get y = 3x-12