the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.
The dimensions of the rectangular prism is given by:
Height = h = 18 inches
Width = w = 14 inches
Length = l = 30 inches
Now, we have to calculate the surface area of the tank excluding the top of the tank to find out how much algae has been present there for the scientist to test.
So, the formula for surface area will become:
A = 2(w l + h l + h w) - l w ( as the top has to be excluded)
Now substituting the values of l, w and h, we get that:
A = 2 [ (14) (30) + (18) (30) + (18) (14) ] - (30) (14) inches²
A = 2 [ 420 + 540 + 252 ] - 420 inches²
A = 2 [ 1212 ] - 420 inches²
A = 2424 - 420 inches²
A = 2004 inches²
Therefore, we get that, the algae that is present with the scientist to research upon covers a surface area of 2004 inches² in the rectangular prism.
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Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65
answer:
7.65, 7.321, 7.3, 7.065
explanation:
on a number line, these numbers would be in order as shown above from right to left (decreasing value)
Answer:The order for the given decimal numbers, from the greatest to the least, is: D. 7.65, 7.321, 7.3, 7.065.
Step-by-step explanation:
Order the following numbers from greatest to least: 7.321, 7.3, 7.065, 7.65
7.065, 7.3, 7.321, 7.65
7.3, 7.321, 7.065, 7.65
7.321, 7.3, 7.65, 7.065
this is correct--> 7.65, 7.321, 7.3, 7.065
If 65% of a number is 39 and 35% of the same number is 21, find 100% of that number.
Answer:
60
Step-by-step explanation:
divide 39 by 65%,
you will get
39 / ( 65/ 100)
= 39 * (100/65)
= 39 * (20 /13)
= 3*20
= 60
grafica
[tex]5y-15=-4x[/tex]
El grafico de la ecuación lineal se puede ver en la imagen al final.
¿Como graficar la ecuación lineal?En este caso queremos graficar la ecuación lineal:
5y - 15 = -4x
Para ello debemos encontrar dos puntos en la linea, y para hacer eso podemos evaluar en dos valores de x.
Sí x = 0 obtenemos:
5y - 15 = -4*0
5y = 15
y = 15/5 = 3
Sí x= 5 obtenemos:
5y - 15 = -4*5
5y = -20 + 15
5y = -5
y = -5/-5 = -1
Entonces solo tenemos los dos puntos (0, 3) y (5, 1), ahora debemos graficar estos en un eje de coordenadas y trazar una linea que pase por ambos, como en el ejemplo de abajo.
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The community college theater department sold three kinds of tickets to its latest play production. The adult tickets sold for $15, the student tickets for $10 and the child tickets for $8. The theater department was thrilled to have sold 250 tickets and brought in $2,825 in one night. The number of student tickets sold is twice the number of adult tickets sold. How many of each type did the department sell?
Using a system of equations, the amounts of each ticket sold are given as follows:
Adult: 75.Student: 150.Child: 25.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
For this problem, the variables are given as follows:
Variable x: number of adult tickets sold.Variable y: number of student tickets sold.Variable z: number of child tickets sold.The theater sold 250 tickets, hence:
x + y + z = 250.
The theater brought in $2,825, hence, considering the value of each ticket:
15x + 10y + 8z = 2825.
The number of student tickets sold is twice the number of adult tickets sold, hence:
y = 2x.
Replacing in the first two equations:
3x + z = 250.35x + 8z = 2825.Multiplying the first equation by -8 and adding with the second, we have that:
11x = 825
x = 825/11
x = 75.
Then:
y = 2x = 2(75) = 150.z = 250 - 3x = 250 - 3(75) = 25.The amounts of each ticket sold are given as follows:
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Miles driven
120
300
380
480
Gas Use
20
24
33
39
Gallons of
gasoline used
If the car always uses the same amount of gasoline each mile, how many gallons of gasoline would be needed to
travel 480 miles?
6
15
18
2
Answer:
the answer is 70,007
Step-by-step explanation:
again the answer is 102,002
Answer:
Step-by-step explanation:
70007
Carrie is packing her clothes in moving boxes that are in the shape of a cube. Each box has a volume of 3 cubic feet. The moving truck has shelves that are 12 inches in height. Will the moving boxes fit? Explain.
Yes, the moving boxes will fit in this volume.
What is volume ?The current volume of box :
Volume = height * width * depth
Volume = 12 * 9 * 2
Volume = 216 in³
New dimension :
Height and volume are the same
Width = 9 - 1 = 8
Depth = x
Volume = height * width * depth
216 = 12 * 8 * x
216 = 96x
x = 216 / 96
x = 2.25 inch
Volume is a measurement of three-dimensional space that is occupied. It is frequently expressed mathematically using imperial or SI-derived units. Volume and the notion of length are connected.
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If 1/2 cup of soup equals 120 milliliters, then how many milliliters are in 3 1/4 cups of soup?
If 1/2 cup of soup equals 120 milliliters, then there are 780 milliliters in
3 1/4 cups of soup.
A milliliter is a metric unit that is abbreviated as ml and is used to measure volumes for liquid and gas states. It is usually used to measure smaller volumes of liquids as it is equal to 1/1000 of a liter.
We can find the milliliters in 3 1/4 cups of soup as follows:
1/2 cup of soup = 120 milliliters
As 1/2 = 0.5
We can rewrite it as:
0.5 cup of soup = 120 milliliters
3 1/4 cups = 3.25 cups
Consider milliliters in 3 1/4 cups = x
Therefore,
0.5 cup = 120 ml
3.25 cups= x
Cross multiply to find x,
0.5 x = 120x3.25
0.5 x = 390
x= 390/0.5 = 780 milliliters
Hence it is found that 3 1/4 cups of soup is equal to 780 milliliters.
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8. Find the equation of the lines passing through the origin and (a) parallel (b) perpendicular to the lines represented by 6x² - 5xy + y2 + 5x - 2y + 1 = 0. .
Answer:
Hello,
Step-by-step explanation:
1. We must decompose the conic into 2 lines.
[tex]f(x,y)=x^2-5xy+y^2+5x-2y+1=0\\\\We\ are\ going\ to\ find\ the\ center\\\\\left\{\begin{array}{ccc}\dfrac{ \partial{f} }{\partial{x} }&=&12x-5y+5=0\\\\\dfrac{ \partial{f} }{\partial{y} }&=&-5x+2y-2=0\\\end {array} \right.\\\\\\\left\{\begin{array}{ccc}x=0\\y=1\\\end {array} \right.\\\\We\ must\ find\ an\ other\ point\ of\ f(x,y).\\\\if\ y=0\ then\ x=\dfrac{-1}{2} \ or\ x=\dfrac{-1}{3}[/tex]
The 2 lines are: 2x-y+1=0 and 3x-y+1=0
Paralleles are y=2x and y=3x
Perpendiculars are x+2y=0 and x+3x=0
Given that x² - 6x + 1 = (x-a)² - b for all values of x, (i) find the value of a and the value of b.
Answer:
(x-3)^2 - 8, so a is 3 and b is 8
Step-by-step explanation:
use completing the square
hope this works :)
(05.03)bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. calculate the area of the polygon. be sure to show all your work and explain your answer. six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.
The area of the six-sided polygon = 220.5 square ft.
Given that the six-sided polygon consists of two isosceles triangles and a rectangle. So the total area to be cut will be equal to the sum of areas of the triangles and the rectangle.
First triangle has base = 15 ft and height = 15 ft
Area of a 1st triangle = 1/2 x base x height
= 1/2 x 15 x 15
= 112.5 square feet
Second triangle has base = 4 ft and height = 4 ft
Area of the 2nd triangle = 1/2 x base x height
= 1/2 x 4 x 4
= 8 square ft
The rectangle has length = 25 ft and width = 4 ft
Area of the rectangle = length x width
= 25 x 4
= 100 square ft
So the total area of the six-sided polygon = 112.5 + 8 + 100
= 220.5 square ft.
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Which expressions describe the end behaviors of the function f(x)=2^x+3. modeled by the graph attached to this. Choose all that are correct.
As x increases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches zero.
As x decreases without bound, f(x) approaches the line y = 3.
As x increases without bound, f(x) increases without bound.
The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3 therefore option (C) and (D) will be correct.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand behavior of the graph.
Given the function,
f(x) = [tex]2^{x}[/tex] + 3
At x = 0 → f(0) = 2⁰ + 3 = 3
This is an exponential function as shown below which will be increasing as x increase while it will gain the value y = 3 as x decrease.
Hence "The graph of function f(x) = [tex]2^{x}[/tex] + 3 will be increases without bound As x increases without bound and As x decreases without bound, f(x) approaches the line y = 3".
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How do i do this? This is all due tomorrow
1.2 because you take 2 congruent sides of each shape and divide the larger one by the small one. in this example you could do
8.4÷7
36.6÷30.5
19.2÷16
they all give you 1.2
question 11(multiple choice worth 5 points) (01.06 mc) the length of a blue whale is approximately 3 × 104 millimeters; the length of an otter is 2 × 103 millimeters. how many times longer is the blue whale than the otter? 1.5 2 10 15
Blue whale is 15 times longer than otter.
To find how many times the blue whale is longer than the otter, we will perform division. We will divide the length of blue whale by length of otter, which we will give us the desired result.
Now, performing calculation as per the above statements -
Number of times longer length = [tex]\frac{3*10^{4} }{2*10^{3} }[/tex]
Performing division of numbers. Also, as we know, on division the exponents are subtracted. Hence, subtracting the exponents to get the desired result.
Number of times longer length = 1.5*[tex]10^{4-3}[/tex]
The result will be -
Number of times longer length = 1.5*10
Performing multiplication -
Number of times longer length = 15
Hence, we get that blue whale is 15 times longer than otter.
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Given −47.01 × 6.2, find the product.
−291.462
−282.02
−37.608
29.1462
Step-by-step explanation:
-282.02 its korrect now
2000, 200, 20, 2, ... what 3 numbers come next pls help
Answer:
2, 20, 200, 2,000, 20,000, 200,000
Answer: 0.2, 0.02 0.002
Sophia need to earn at least 1,800 each month to cover her living expenses.what is the minimum amount she needs to sell in order to earn at least 1,800 if she earn a 10.75commission on everything she sells?round to the nearest dollar
In a condition where Sophia needs to earn at least $1800 as a part of her living expenses, she will need to sell goods worth at least $16,745 if she earns 10.75% commission on everything she sells.
What is the significance of living expenses?
Living expenses of an individual can be referred to or considered as the amount of expenditure made by a person for living for a predefined period of time. The living expenses also include the spending towards the necessities of an individual.
In the condition given above, the provided information can be used in order to find out about the living expenses as,
Living Expenses = Sales x Commission
1800 = Sales x 10.75%
Sales = 1800 / 10.75%
Sales = $16,744.12
Therefore, the significance regarding the living expenses has been aforementioned.
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3x+2=2x+13 all divided by 3
Answer:
x = 11Step-by-step explanation:
following the clarification in the comment
3x+2=2x+13 all divided by 3 (both side)
(3x + 2)/3 = (2x + 13)/3
3x + 2 = 2x + 13
x = 13 - 2
x = 11
--------------------
check
(3 * 11 + 2)/3 = 2 * 11 + 13)/3
3 * 11 + 2 = 2 * 11 + 13
35 = 35
the answer is good
if the mean of a set of 12 numbers is 13 , then the summer of the numbers is
Answer:
156, because the mean is 13, and the mean in equal to all of the numbers added up and divided by how many numbers there are.
which expression simplifies to 41? choose all that apply! question 14 options: 10 2³ ∙ 4 - 1 10 2³ ∙ (4 - 1) (10 2³) ∙ 4 - 1 10 (2³ ∙ 4) - 1
The expressions that simplifies to 41 are:
a) 10 + 2³ * 4 - 1
d) 10 + (2³ * 4) - 1
Information about the problem:
a) 10 + 2³ * 4 - 1
b) 10 + 2³ * (4 - 1)
c) (10 + 2³) * 4 - 1
d) 10 + (2³ * 4) - 1
We solve the equations respecting the level of hierarchy:
First the operations in parentheses, then brackets and finally braces.Of the arithmetic operations, first the multiplication and divisions and then the additions and subtractions.a) 10 + 2³ * 4 - 1
10 + 8*4 - 1
10 + 32 - 1
42 - 1
41 (it applies)
b) 10 + 2³ * (4 - 1)
10 + 8 * (3)
10 + 24
34 (it doesn't applies)
c) (10 + 2³) * 4 - 1
(10 + 8) * 4 - 1
18*4 - 1
72 - 1
71 (it doesn't applies)
d) 10 + (2³ * 4) - 1
10 + (8*4) - 1
10 + 32 -1
42 - 1
41 (it applies)
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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A party will have hexagonal tables placed together with space for one person on each open side:
n
12
a. Complete this table showing the number of people P (n) who can sit at n tables.
If n =12 then there are 50 person who can sit .
Hexagonal - In geometry, a hexagon is a closed two-dimensional six-sided polygon. It is made up of six line segments and six vertices that form six internal angles. The sum of all the internal angles of a hexagon is 720°.
Each table seats 4 people, which can be represented with n,plus two more people at either end of the set of tables. The table is hexagonal and so can seat 6 people. So, the given equation defines this situation.
The number of people who can sit at the tables increases by 4 each time a table is added
P=4n+2
the given equation to find the number of tables n.
P=4n+2
Where P = person
and n= no of tables .
given that
n=12
put value of n in equation to find the no. of person .
P = 4(12) +2
P = 48 +2
P = 50.
Hence,in this given seating arrangement 50 person can sit on 12 tables. .
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Order numbers from least to greatest: 4 3/4, -2 1/2, -8/3, 9/2
Answer:
-8/3 < -2 1/2 < 9/2 < 4 3/4
Step-by-step explanation:
-2.667 < -2.5 < 4.5 < 4.75
What is the image of (8, -12) after a dilation by a scale factor of 1/4 centered at the origin?
Answer: (2, -3)
Step-by-step explanation:
To get these points, you just need to multiply the coordinates by 1/4, or divide by 4
W-2 The diameter of a circle is 4 units.
What is the radius of the circle?
I don't understand but it's due today help
Answer:
2 units
Step-by-step explanation:
radius = diameter/2 -> r = 4/2 = 2 units
Please help me I dont understand this! its due soon by the end on class omg!
The number of people who would prefer Choco chocolate chip is 120.
How many people would prefer Choco chocolate chip?
Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).
In order to determine the number of people who would prefer Choco chocolate chip , multiply the given ratio of people who prefer Choco chocolate chip by the total number of people in the group.
The number of people who would prefer Choco chocolate chip = (ratio of people who prefer choco / sum of ratios) x number of people
(3/5) x 200 = 120
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14.2 in scientific notation
Answer: 1.42 x 10^1
Step-by-step explanation:
Answer: 1.42x10
Step-by-step explanation:
the equation is -5 = -8+v/3 help
Step-by-step explanation:
could it be that the equation is rather
-5 = (-8 + v)/3
?
that is a huge difference ...
to solve such an equation we keep transforming it (every change we make we have to do on both sides of the equation to keep the equality), until we have only the variable on one side, and everything else (which is then the solution) on the other side.
1st step : we get rid of the "/3" by multiplying both sides by 3.
that gives us
-5×3 = ((-8 + v)/3)×3 via the multiplication property.
2nd step : we simplify
-15 = -8 + v
3rd step : we get rid of the -8 on the side of the variable by adding 8 to both sides.
that gives us
-15 + 8 = -8 + 8 + v via the addition property.
4th step : we combine like terms (or simplify, if we can use it a second time) :
-7 = 0 + v
-7 = v
that's it.
k/3+16 algebraic expression
Answer: -48
Step-by-step explanation:
k/3 + 16
find the roots by factoring
which leads to -48
k/3 + 16
To add or subtract expressions, expand them so their denominators are the same. Multiply 16 by 3/3.
k/3 + 16 × 3/3
Since k/3 and 16 × 3/3 have the same denominator, we join their numerators to add them.
k + 16 × 3/3
We perform the multiplications in k+16×3.
k + 48/3
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0.00015797 in scientific notations
Answer:
1.5797 x 10^-4
Step-by-step explanation:
Marie has 2 boxes for numbered ping
pong balls, labeled A and B, as shown
in the figure above. Box A is for ping
pong balls that are multiples of 2 and
box B is for ping pong balls that are
multiples of 7. If Marie were to move
all the balls that could go in either one
of these boxes into a third box, which
best describes the ping pong balls this
third box would have?
A) Multiples of 2
B) Multiples of 7
C) Multiples of 14
D) Multiples of 42
Answer:
multiples of 14
Step-by-step explanation:
we multiply 7×2
Can someone please help mee (20 points
brainliest!!!)