A laboratory uses liquid nitrogen tanks of two different sizes. The combined volume of 3 large tanks and 2 small tanks is 24 liters. The combined volume of 2 large tanks and 3 small tanks is 21 liters. What is the volume of each size of tank? JUSTIFY YOUR ANSWER.
The size of the large tank is 6 liters and the size of the small tank is 3 liters.
What is the size of each type of tank?The first step is to form a system of equations using the information provided in the question:
3l + 2s = 24 equation 1
2l + 3s = 21 equation 2
Where:
l = volume of the large tank s = volume of the small tankThe elimination method would be used to solve the equations:
Multiply equation 1 by 2 and equation 2 by 3:
6l + 4s = 48 equation 3
6l + 9s = 63 equation 4
Subtract equation 3 from equation 4:
5s = 15
Divide both sides of the equation by 5
s = 15 / 5
s = 3 liters
Substitute for s in equation 1 :
3l + 2(3) = 24
3l + 6 = 24
3l = 24 - 6
3l = 18
l = 18 / 3
l = 6
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To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score
So, on solving the provided question, we can say that to form a inequality - x * y > 8
What is inequality?An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.
here to form a inequality-
let x = goals by each player
y = no. of players
x * y > 8
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Graph a line given the point A(-2, 3) and the slope of
2|3
Answer:
Step-by-step explanation:
Which describes why digital signals are a more reliable way to encode and transmit information than analog signals? Multiple choice question. Noise builds up on digital signals only when the signals travel long distances. Noise is easily filtered out without damage to the original signal because only one of two values is expected. Noise is easily filtered out without damage to the original signal because a narrow range of values is expected. Noise does not build up on digital signals when they are transmitted, unlike analog signals.
The solution is Option B.
Noise is easily filtered out without damage to the original signal because a narrow range of values is expected
What are digital signals?A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals
The three types of digital signals are
Continuous-Time/Analog Signal
Discrete-Time Signal
Digital Signal
Given data ,
The digital signals are a more reliable way to encode and transmit information than analog signals
Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity
The digital devices only record pieces of sound waves, not full waves.
Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.
Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected
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A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
Answer: 73.2
Step-by-step explanation:
78/2 is 39. Now, use the pythagorean theorem to find the hypoteuse (in this case the spine), which is about 73.2
Hint: your answer will be a fraction or decimal. ex: 3/5 or 0.6 *
Find the probability that a point chosen at random on the part of the number line shown will lie
between points B and C.
On solving the provided question we can say that - the probability of the event will be there are two red sides, thus multiplying 16.6667 by two results in 33.3333%.
What is probability?A branch of mathematics known as probability measures the possibility of an event happening or a proposition being true. The probability of an occurrence is a number between 0 and 1, where roughly 0 denotes the event's improbability and 1 denotes certainty. A probability is a numerical representation of the possibility or probability that a specific event will take place. Probabilities can alternatively be stated as percentages ranging from 0% to 100%, or as percentages from 0 to 1. the proportion between the number of events in a comprehensive collection of equally likely outcomes that lead to a certain occurrence and the entire number of outcomes.
Each side would be 50%, and if one side were divided among three people, it would equal 16.6667 per person.
Given that there are two red sides, you can multiply 16.6667 by 2 to get 33.3333%.
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3. Given: ACAN
m/ATN= (4x + 18)
Find: x so that AT is an altitude
N
Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)
What does trigonometry mean exactly?When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.
Here,
tan x tan 4x=1
cos 4X cos X - sin 4x sin x=0
cos 5x=0
5x=(n+1/2)π,n ∈ Z
x=(2n+1)/10 π,0 <x <π
π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)
Thus, there are only four solutions.
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Find the measure of the missing angle? please help :)
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
The measure of the angle ∠SUT is calculated as,
∠SUT + ∠UTS = ∠JST
∠SUT + 80° = 110°
∠SUT = 110° - 80°
∠SUT = 30°
The measure of the angle ∠SUT will be 30°. Then the correct option is C.
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Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$
Supposing the value of x to be an integer, the values of k that donot
satisfy the given equation 3x = k mod 6 are 1,2,4,5.
What is an integer?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
What is the difference between integers and whole numbers?Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.
If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.
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Help please, I need to check my answer
[tex]\cfrac{45p^5q^4-60p^3q^2 - 15p^2q^3}{15p^2 q^3}\implies \cfrac{45p^5q^4}{15p^2 q^3}-\cfrac{60p^3q^2}{15p^2 q^3}-\cfrac{15p^2q^3}{15p^2 q^3}\implies 3p^3q-\cfrac{4p}{q}-1[/tex]
Evaluate the infinite geometric series $0.79 0.079 0.0079 0.00079 0.000079 \dotsb$. Express your answer as a fraction with integer numerator and denominator.
Sum of the infinite geometric series = 79/9
A geometric series, or the first few terms of a geometric sequence, are the sum of an infinite number of terms with a constant ratio between them in mathematics.
Given Geometric sequences,
0.79, 0.079, 0.0079, 0.00079, 0.000079
so, the geometric series is:
0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +........
The first term of given geometric series is 0.79
The second term of given series is 0.079
Therefore, the common ration is= 0.079/0.79 = 1/10
The Sum of infinite geometric series is given by, S= a/(1-r)
a here denotes the first term of the series
r denotes the common ration
so,
S = 0.79/{1-(1/10)}
or, S = 0.79/(9/10)
0r, S = 0.79 * (10/9)
0r, S = 79/9
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Is this a perfect square trinomial X² 14x 49?
x² + 14x + 49, this is a perfect square trinomial, which is expressed as
(x + 7)².
What is trinomial?Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."
An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.
A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.
Given that,
x² + 14x + 49
(x)² + 2(7x) + 49
= (x)² + 2(x)(7) + 7²
This is similar to a² + 2ab + b² = (a + b)²
so, we can write:
= (x + 7)²
= (x +7) (x + 7)
so, this is a perfect square trinomial.
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passes through (6,6) and (-2,2)
Answer: 1/2 is the slope.
Step-by-step explanation: (-2-6)/(2-6) = -8/-4
-8/-4 Simplified is 1/2
Therefore 1/2 is your slope
Hope this helps!
11. One side of a kite is 2 cm less than 2 times the length of another. If the perimeter is 38 cm, find the length of each side of the kite. (show work)
Answer:
Step-by-step explanation:
good
Given that,
Perimeter of kite - 38 cm
Let "x" be the one side of kite
Both of the top sides are equal
Therefore, other side = x
One side of a kite is 2 cm less than 2 times the length of another
Therefore,
One of bottom side = 2x - 2
Bottom sides are also equal
Thus, other bottom side = 2x - 5
We know that,
Perimeter = sum of all sides
38 = x + x + 2x - 2 + 2x - 2
38 = 6x - 4
6x = 38 + 4
6x = 42
x = [tex]\frac{42}{6}[/tex]
x = 7
Thus length of each side of kite is:
x = 7
2x - 2 = 2(7) - 2 = 14 - 2 = 12
Thus length of each side of kite is 7 cm , 7 cm , 12cm , 12cm
Please Brainliest
we the following mixed operations word problems
During a normal day, there are 782 passengers in average that
are late for their plane each day. However, during the
Christmas holidays, there are 1,835 passengers that are late for
their planes each day which caused delays of 14 planes. How
many more passengers are late for their planes in each day
during the Christmas holidays?
An average of 782 travelers miss their flight each day during a typical day. In contrast, 1,835 passengers are late for their flights every day over the Christmas holiday, which results in 14 planes being delayed.
1,053 travelers (2,835-782 = 1,053)
During the Christmas holidays, there are 1,053 extra passengers who are late for their flights.
How do you figure out the average number of days late?In order to compute WADO, we multiply the total amount of each overdue invoice by the number of days past due, then divide that total by the number of days past due. You may figure out your average daily sales by dividing your total sales over a certain period of time by the number of days in that same period.
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What's the longest UK number 1?
The person who has the most number 1 in UK is Elvis Presley. He has a total of 21 number 1 which is the highest in history.
The UK Singles Chart is a chart which numbers musician on the basis of their songs and their sales and streams it was created in 1969. The records and statistics listed here, however, date back to 1952 .
The song which charted the charts was Old Town Road which was recently remixed and launched by Lil Nas X.
Elvis Aaron Presley or more commonly known as Elvis, was an American singer and actor. He dubbed the "King of Rock and Roll", and is now regarded as one of the most significant cultural figures of the 20th century.
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-2n = -1 1/4
................................
Answer:
n = 5/8
Step-by-step explanation:
-2n = -1 1/4
-1 1/4 = -5/4
So, our equation is
-2n = -5/4
Divided both sides by -2
n = 5/8
So, the answer is
n = 5/8
Find the distance between point k and point L.
The distance between points L and K is 4 units.
What is the distance formula between two points?The distance formula between two points (x₁, y₁) and (x₂, y₂) is gien by,
[tex]D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
Given, Are two points L and K.
The coordinate points of L(- 2, 6) and K(- 2, 2).
Therefore, The distance between points L and K is,
[tex]|LK| = \sqrt{(- 2 + 2)^2 + (2 - 6)^2}[/tex].
[tex]|LK| = \sqrt{16}[/tex].
[tex]|LK| = 4[/tex].
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betsy correctly answered 19 of 25 trivia questions. What percent of the questions did she answer correctly?
1.14 is the answer just do 19%=1.14
WILL MARK BRRRRRRRRRRRRRRRRRRAIIIIIINNNNNNNNNNNNNLLLLLLLLLLIIIIIIIIIIIEEEEEEEEESSSSSSSSSSTTTTTTTTTTT
The volume of the cube, given the lengths of the small cubes used to make the larger cube, is 8 cm ³
The surface area of the cube is 24 cm ²
The total length of the edges of the cube is 24 cm
How to find the volume of a cube ?The volume of a cube can be found by the formula :
= Side x Side x Side
This is because all the sides of a cube at the same and so the volume would measure them three - dimensionally.
The side length of this cube is the length of two of the smaller cubes as these make up a side of the cube :
= 2 x 1
= 2 cm
The volume is therefore :
= 2 x 2 x 2
= 8 cm ³
How to find the area of a cube ?The surface area of a cube is:
= 6 x side ²
= 6 x 2 ²
= 24 cm ²
How to find the length of a cube ?The total length of the edges would be:
= 12 edges on a cube x length of each edge
= 12 x 2
= 24 cm
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What is the discriminant of the quadratic equation 2x 5x^2 1?
The discriminant of the quadratic equation 2x + 5x² = 1 is 24.
The discriminant of a quadratic equation is the value calculated from the coefficients of the quadratic equation and it gives information about the nature of the roots of the equation. The discriminant can be used to determine the number and type of solutions/roots of the equation.
-If the discriminant is greater than zero, the equation has two distinct, real solutions (or roots).
-If the discriminant is equal to zero, the equation has one real solution (or root).
-If the discriminant is less than zero, the equation has no real solutions (or roots), only complex solutions.
The discriminant of the quadratic equation ax² + bx + c = 0 is b² - 4ac.
Plug in the values and solve for the discriminant of the quadratic equation 2x + 5x² = 1.
b² - 4ac = (2)² - 4(5)(-1) = 24
Hence, the discriminant is 24.
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You found that the area of the quarter circle is 78.50 cm squared. You are right. How was this answer found?
Please help me! It's basically asking how to find the area of this quarter circle. I also have to show how I know that the answer is correct by using these steps to get the area of 78.50 cm squared.
The area of the quarter of the circle is 78.50 squared centimeters.
How to find the area of quarter of a circle.A circle is a 2 dimensional plane shape that is bounded by a curve. Its area can be determined by;
area of a circle = [tex]\pi r^{2}[/tex]
where r is the value of the radius of the circle.
The radius of a circle is given as the half of its diameter.
Thus, a quarter of a circle is the 4th part of a given circle. This implies of fraction selected when a circle is divided into 4 equal part.
So that;
area of quarter of a circle = area of a circle/ 4
= [tex]\pi r^{2}[/tex]/ 4
The area of quarter of then given circle = ((22/7)*(10)^2)/ 4
= 78.50 squared centimeters
Therefore, the answer to the area of the quarter circle was found as explained above.
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Is this right?
If not please help me understand or tell me the answer.
=========================================
Explanation:
L = 6 inches = length
W = 3 inches = width
H = 5 inches = height
----------------------
V = volume
V = L*W*H
V = 6*3*5
V = 90 cubic inches is the volume
----------------------
SA = Surface Area
SA = 2*(LW + LH + WH)
SA = 2*(6*3 + 6*5 + 3*5)
SA = 126 square inches is the surface area
-----------------------
Unfortunately there isn't enough information to know the material cost. Please post the full problem, and any other relevant information connected to this question.
A square board has an area of 144 square units. How long is each side of the board?
Answer: 12 units
Step-by-step explanation:
∴ Area of Square = side length × side length
⇒144 = lengt²
⇒length = √144
⇒length = 12 units ANSWER
hope that helps...
sort these from least to greatest
0
1
1/2
8/9
49/100
11/10
1/13
The numbers are sort from least to greatest as 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
What is a fraction?A fraction can be defined as the part of a whole number, variable or element.
There are several types of fractions, some of which includes;
Mixed fractionsProper fractionsImproper fractionsComplex fractionsSimple fractionsFrom the information given, we have the fractions;
0, 1, 1/2, 8/9, 49/100, 11/10, 1/13
To arrange the values from least to greatest, we have to divide the fractions and find their decimal forms, we have;
1/2 = 0.5
8/9 = 0.89
49/100 = 0.49
11/10 = 1.1
1/13 = 0. 08
However, the arrangement is 0, 1/13, 49/100, 8/9, 1/2, 1, 11/10
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HELP ME PLEASE . THESE ARE RATIONAL NUMBERS BTW.
Answer:
15. -3 1/4
16. -4 1/2 OR -4 2/4
17. 1 1/4
18. -5 3/4
19. 1/2 OR 2/4
20. -2 1/2 OR -2 2/4
Step-by-step explanation:
Answer:
15) -3.25
16) -4.5
17)1.25
18)-5.75
19).5
20)-2.5
What is the volume of this rectangular prism?
Answer:
40
Step-by-step explanation:
5 x 4 x 2 = 40
length x width x height = volume
Is 8 15 and 16 is a Pythagorean triplet?
No, 8,15 and 16 is not a Pythagorean triplet.
A set of three integers that can be the lengths of the sides of a right triangle is called a Pythagorean triple, it also defines the positive integers a, b, and c which is a right triangle that exists with legs a,b, and hypotenuse c.
By the Pythagorean theorem, this is equivalent to finding positive integers a, b, and c satisfying a²+b²=c²
One of the simplest Pythagorean triples is the set “3,4,5.”
Now, substitute the values in the above equation:
16²=8²+15²
256=64+225
256[tex]\neq[/tex]289
Therefore, (8,15,16) is not a Pythagorean triplet.
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somone please help me with this im begging you
Answer:
For Q.1, the answer is 9
Step-by-step explanation:
The volume formula for a cylinder is V=πhr^2. The volume formula for a cone is V=(πhr^2)/3. You might notice that the formulas are very similar; the only difference is the divided by three at the end. Because we are going from cylinder to cone, we have to multiply by three instead of dividing. Doing this, we get 3*3=9.
Try solving the rest of the problems using these two formulas by yourself. :)
Tickets for all of the described charity raffle games cost $2 per game. James wants to choose three raffles that will give him the best chance of winning. Identify the games that james should play and the games he shouldn’t.
Answer:
C,A, and F
Step-by-step explanation:
the ones that basically give him a chance is the very first one on the left side and the 3rd one down on the left side and the 2nd column the 2nd one hope this helps