Two pools are being filled with water. To start, the first pool had 728 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 23 liters per minute. Water is being added to the second pool at a rate of 37 liters per minute.
Let x be the number of minutes water has been added.
(a)
For each pool, write an expression for the amount of water in the pool after x minutes.
Amount of water in the first pool (in liters) = 23x + 728
Amount of water in the second pool (in liters) = 37x
(b)
Write an equation to show when the two pools would have the same amount of water.
this is when:
23x + 728 = 37x
subtract 23x from both sides:
23x + 728 - 23x = 37x - 23x
728 = 14x
divide both sides by 14:
728/14 = 14x/14
x = 52
So, pools are equal after 52 minutes.
whats greater 0.9 , 4/5 , 76% , 9/8
(IN THE LEAST TO GREATEST)
Answer:
76%,4/5,0.9,9/8
Step-by-step explanation:
Which numbers are rational?
The result is -
Rational number: 5/4, -8, 2.35 bar, 19/7, 8, 0Irrational number: πWhat is meant by Rational number?Rational are numbers which can be written with in form p/q, in which q and p are integers and q≠0. is a negative number.
The distinction among rational numbers as well as fractions is that fractions cannot include a negative denominator or numerator. As a result, the numerator and denominator of the a fraction are all numbers (denominator 0), whereas the numerator and denominator of rational numbers are integers.A rational number, p/q, is considered to be in standard form if its numerator and denominator (p and q) share no common divisor (or factor) other than 1 and its denominator "q" is positive.For the given number-
π, 5/4, -8, 2.35 bar, 19/7, 8, 0
All numbers except π are rational as they are either ending number or have the bar which means they will repeat after some point.
π is the only number which have the value 3.14........and so o such that, it is nether terminating nor repeating.
Thus, π is the irrational number.
Therefore, rational numbers are- [5/4, -8, 2.35 bar, 19/7, 8, 0]
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What am I supposed to do here?
In linear equation, solar system is 0.002 * 10³⁰ more than sun.
What are a definition and an example of a linear equation?
A linear equation with one variable is one that includes just one variable. It has the expression Ax + B = 0, with A and B being any two actual figures and x being an uncertain variable with only one possible value. Such a linear equation in one variable is 9x + 78 = 18.Mass of solar = 1.991 * 10³⁰
Mass of sun = 1.989 * 10³⁰
= 1.991 * 10³⁰ - 1.989 * 10³⁰
= 10³⁰ ( 1.991 - 1.989 )
= 0.002 * 10³⁰
solar system 0.002 * 10³⁰ is more than sun.
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Prove that the measures of the exterior angles of a triangle have a sum of 360°.
Given: <1, <2, and <3 are exterior angles.
Prove: m<1 +m<+m<3 = 360
Sum of Exterior Angles of Triangle is 360°.
Define Exterior Angle
The angle between any side of a shape and a line that extends from the next side is known as the exterior angle.
Let's Prove: ∠1 + ∠2 + ∠3 = 360°
The angle that is created between one of a triangle's sides and its adjacent extended side is known as the external angle. A triangle has three external angles. Let's learn about the equation for adding a triangle's exterior angles.
From the figure, we can observe that ∠1, ∠2, and ∠3 are the exterior angles of triangle ABC. We know that the sum of all the exterior angles of any polygon is equal to 360°.
Thus, sum of all the exterior angles of a triangle = 360°
Therefore, In triangle ABC the sum of exterior angles,
∠1 + ∠2 + ∠3 = 360°
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a + b - 8 = p solve for a
Answer:
a = −b + p + 8
Step-by-step explanation:
a + b - 8 = p solve for a
a + b - 8 = p
subtract b from both sides:
a + b - 8 - b = p - b
a - 8 = p - b
add 8 to both sides:
a - 8 + 8 = p - b + 8
a = p - b + 8
rearrange for alphabetical order:
a = −b + p + 8
Answer:
a = p + 8 - b
Step-by-step explanation:
Step 1: Add 8 both sides
[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]
Step 2: Subtract b both sides
[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]
Note: You can also subtract b both sides first then add 8 both sides.
Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].
Please let me know if you have any questions!
7u + 17 - 12u = -38 solve for u and simplify your answer as much as possible
Answer:
u=11
Step-by-step explanation:
7u-12u+17=-38-combine like terms
-5u=-38-17
-5u=-55
-u=-11
which means u=11
Answer:
u = 11
Step-by-step explanation:
7u + 17 - 12u = - 38 , that is
- 5u + 17 = - 38 ( subtract 17 from both sides )
- 5u = - 55 ( divide both sides by - 5 )
u = 11
Ten years ago, you could buy a loaf of bread for $1.21.
Twenty years ago, you could buy a loaf of bread for $0.92.
What is the difference in prices?
The equation and graph show the cost to rent movies from two different companies. The cost is a function of the number of movies rented. Which description best compares the two functions? Company 1 Company 2 11 m = movies, d= dollars d=3m + 5 There is a higher rate of change at Company 1. It costs more to rent movies from Company 2. There is a higher rate of change at Company 2. Company 1 adds a higher initial fee to the rental cost.
The equation is d = 3m + 5
What is an equation?
An equation is a formula in mathematics that expresses the equivalence of two expressions by linking them with the equals symbol =. The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, but in English, an equation is any well-formed formula consisting of two expressions linked by an equals sign. Solving an equation with variables entails finding which variables' values make the equality true. The variables for which the equation must be solved are also known as unknowns, and the values of the unknowns that fulfill the equality are known as equation solutions. Identity equations and conditional equations are the two types of equations.
The cost function is given by the equation d = 3m + 5
where, d = dollars, m = movies
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3. In your own words, describe what is
happening in lines 9-14 of the poem "the sea
view"
5. How does the shift in mood after line 8 affect
the reader what is your reaction to this poem?
Please Refer to the poem
"The sea view"
Answer:
Talks about man's brutality
Step-by-step explanation:
It says man spoils Heaven's glorious works with blood, meaning that Earth was perhaps a gift for humans which we ourselves have ruines by engaging in brutal and barbaric acts of war and murder.
The reader is almost instantly brought into reality. The reader is made to feel like the first half of the poem was an illusion and the second half was the real reality. The sudden drop from a heaven-like and fantastical description to a dark and hellish world, makes teh reader uncomftable and almost as if realisation hits the reader and causes them to feel guilty and almost at unease of their own presence
I need help with this question asap 5x-4+4x=
Answer:9x-4
Step-by-step explanation:
Answer:
It simplifies to 9x-4
x= 4/9 or 0.4
Step-by-step explanation:
Paul’s short-term goal is to exercise 3 hours per workout. His long-term
goal is to exercise 33 hours per month. What is the fewest number of
workouts will Paul need to do to meet his long-term goal?
A: 6
B: 11
C: 14
D: 18
customers arrive at a checkout counter in a department store according to a poisson distribution at an average of seven per hour. what are the probabilities that
From the information given in the Poisson Distribution, the probability that that no more than three customers arrive that is P (X≤3) = 0.0817.
What is a Poisson Distribution?
The Poisson distribution is a discrete probability distribution in probability theory and statistics that articulates the likelihood of a specific number of events happening in a fixed interval of time or space if these events occur with a particular frequency mean rate and regardless of the time since the last event.
What Are the Poisson Distribution's Assumptions?
To be correct, all events must be independent of one another, the pace of occurrences must be steady across time, and events cannot occur concurrently. Furthermore, the mean and the variance will be equal.
What is the justification for the above result?
According to a Poisson distribution, seven people come at a checkout counter in a department store every hour on average. i.e λ=7
Probability (P) that no more than three customers arrive is notated as P(X≤3)
= P(X=0) + P(X=1) + P(X=2) + P(X=3)
= Poisson (3,7,1)
= 0.0817
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The points (3,9) and (2,6) fall on a particular line. What is its equation in slope-intercept form
Answer:
Equation of a line given two points:
Line equation: y = 3x
Slope = 3
Intercept = 0
Answer:
2 quinoa because it will comit 4 plus6
Aschool playground is rectangular and has a length of50 m and
a width of 30 m as shown. A safety eone of uniform width surrounds
the playground. lfthe area ofthe safety zone equals the area ofthe
playground, what is the width of the safety zone, to 2 decimal places?
The most appropriate choice for quadratic equation will be given by
Width of safety zone is 7.84 m
What is equation and Quadratic equation?
A statement that shows the equality between two mathematical expressions by connecting the two mathematical expression with an equal to (=) sign is called equation.
A two degree equation is known as quadratic equation.
Let [tex]ax^2+bx +c[/tex] be a quadratic equation (a ≠ 0)
Then
[tex]x = \frac{-b \pm \sqrt{b^2 -4 \times a \times c}}{2\times a}[/tex]
Here,
Let the width of the safety zone be x metre
Length of rectangular park = 50m
Breadth of rectangular park = 30m
Area of rectangular park = [tex]50 \times 30[/tex]
= [tex]1500[/tex] [tex]m^2[/tex]
Length of rectangular park with safety zone = (x + x + 50) m
= (2x + 50) m
Breadth of rectangular park with safety zone = (x + x + 50) m
= (2x + 30) m
Area of rectangular park with safety zone = (2x + 50)(2x + 30) [tex]m^2[/tex]
= [tex]4x^2 +60x + 100x + 1500[/tex]
= [tex](4x^2 + 160x +1500) m^2[/tex]
Area of safety zone = [tex]4x^2 +160x+1500-1500[/tex]
= [tex]4x^2 +160x[/tex]
By the problem,
[tex]4x^2 +160x=1500[/tex]
[tex]4x^2 +160x-1500=0[/tex]
[tex]4(x^2 +40x-375)=0[/tex]
[tex](x^2 +40x-375)=0[/tex]
[tex]x = \frac{-40 \pm \sqrt{40^2 -4 \times 1 \times (-375)}}{2\times 1}[/tex]
[tex]x = \frac{-40 \pm \sqrt{1600 +1500}}{2\times 1}[/tex]
[tex]x = \frac{-40 \pm \sqrt{3100}}{2}[/tex]
[tex]x = \frac{-40 \pm 55.68}{2}[/tex]
[tex]x = \frac{-40 + 55.68}{2}[/tex] or [tex]x = \frac{-40 - 55.68}{2}[/tex]
[tex]x =7.84[/tex] or [tex]x = -47.84[/tex]
[tex]x = -47.84[/tex] is not possible as width cannot be negative
so [tex]x = 7.84[/tex] m
Width of safety zone is 7.84 m
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Please help
It’s due tonight
Answer:
it -8 2÷-14=-7 x=-7
-7+-1=-8
Draw a number line showing the whole numbers 16 through 19 and divisions between whole numbers in thirds.
Note: This is class 6 maths so please do it in class 6 way and not in the high school way. I need this answer as soon as possible.
I have attached the image.
In the graph of An inequality, the area above a solid line through the point (-5,2) and (3,2) is shaded. Which inequality does this graph represent?
The inequality shown by this graph is y ≥ 2.
Describe inequality.the relationship between two non-equal expressions using a symbol like "not equal to," ≠ "greater than >," or "less than < "
The inequality sign : ≥ or ≤ to use is: or because the line is solid and not dotted.
Given that the points have y-coordinate values of 2, (-5, 2), and (3, 2), respectively, and that the line crosses the y-axis at this point, the proper inequality is:
y ≥ 2
Therefore, y ≥ 2 is the inequality.
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27
A student packs 18 tennis balls in 6 cans
containing an equal number of balls.
How many balls are there in each pack?
Answer:
There are 3 tennis balls in every can
Step-by-step explanation:
18/6 = 3
For which equation would x= 10 be a solution?
06 x+5=45
3 x-4 = 24
5+6 x = 55
5x-8=42
Answer:
5x-8=42
Step-by-step explanation:
5x-8=42
+8 +8
5x=50
50÷5
10
1.2x10^8 x 4.0x10^3
Scientific Notation
Answer:
4.8x10^11
480000000000
Step-by-step explanation:
If someone were to answer all the questions that would be appreciated im confused with this!
Answer:
Choice A I think, i'm not really sure!
given the f(X)=2x+3/x-1 and g(X)=3x+1
a.)evaluate
i.)fg(-1)
Evaluation of fog(-1) = 1/3
Given,
f(X)=2x+3/x-1
g(X)=3x+1
a) Evaluate:
(f o g)(x) = f(g(x))
= 2(g(x)) + 3/(g(x)) - 1
= 2(3x + 1) + 3/(3x + 1) - 1
= 6x+2+3/3x+1-1
(f o g)(x) = 6x+5/3x
i) fog(-1) = 6(-1)+5/3(-1)
= -6+5/-3
= -1/-3
fog(-1) = 1/3
Hence, a.)evaluate: (f o g)(x) = 6x+5/3x
i.)fg(-1): fog(-1) = 1/3
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simplify the expression PLS HELP DUE SOON WILL MARK BRAINLEST UF UU ADD STEPS TOO !!!!
Answer:
[tex]125x^{18}y^{6}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(5x^6y^2\right)^3[/tex]
Apply the exponent rule that states that raising a number to a power of 1 yields the original number: 5 = 5¹.
[tex]\implies \left(5^1x^6y^2\right)^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]
[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]
[tex]\implies 5^3x^{18}y^{6}[/tex]
Carry out 5³:
[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]
[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]
[tex]\implies 125x^{18}y^{6}[/tex]
Which of the following represents the inequality 6x -2 ≥
≥
10
Answer:
Option 2
Step-by-step explanation:
[tex]6x-2 \geq 10 \\ \\ 6x \geq 12 \\ \\ x \geq 2[/tex]
So, we want a graph with a closed circle at 2 with the arrow pointing to the right.
Answer:
2nd choice
Step-by-step explanation:
6x - 2 ≥ 10
add 2 to both sides
6x - 2 + 2 ≥ 10 + 2
6x ≥ 12
divided b0th sides by 6 to get x alone
6x/6 ≥ 12/6
x ≥ 2
x is greater than or equal to 2
equal to 2 is shown by a shaded in circle (cannot be option 3 or 4)
x is bigger than 2 so the arrow is to the right
determine whether each of the following sequences converges or diverges, and justify your answer. if convergent, find the limit of the sequence. (a) cm
The sequence {(-0.3)ⁿ} converges by oscillation as n increases magnitude of function decreases so it converges
C. The sequence converges by oscillation. It converges to 0.
Here as n increases magnitude of function decreases so it converges.
But at any two consecutive integers function sign changes and it oscillates. Thus it is not monotonic,
the complete question is
Determine whether the following sequence converges or diverges and describe whether it does do so monotonically or by oscillation. Give the limit when the sequence converges.
{(-0.3)ⁿ}
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The sequence diverges monotonically.
B. The sequence converges monotonically. It converges to ____.
C. The sequence converges by oscillation. It converges to ____.
D. The sequence diverges by oscillation.
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Which is a source of bias in a survey question?
a multiple-choice question that does not list commonly known options
a question that is so difficult most students will miss it
a question that asks a student to give an example of a concept in the lesson
a question that is so easy all students give the right answer
The source of bias in a survey question is D. a question that is so easy all students give the right answer.
What is a bias?Source bias is the propensity to favor sources of information that corroborate or contradict a certain set of views or values.
When systematic inaccuracy is added to sampling or testing during research, bias emerges. This happens when one outcome or response is preferred over others. Bias can appear at any stage of the research process, including study design, data collection, data analysis, and publication.
It should be noted that when the question is so easy, it ilustrates bias since it was intentional.
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15. Determine the sum of the measures of the interior angles of this seven-sided polygon.
Show your calculation.
Answer:
900⁰
Step-by-step explanation:
Use the formula:
(n-2)×180 =sum of interior angles.
n= number of sides
(7-2) × 180= 5×180= 900⁰
find the length and simplify in radical form
Answer:
Length = 9
Step-by-step explanation:
7^2 + 4sqrt2^2 = x^2
49 + 16*2 = x^2
49+32 = x^2
x^2=81
x=9
:] (Tell me if this is wrong)
Jose made this table to show the relationship between his age and his cousin Mario's age.
Jose wants an equation he can use to find his own age (j) given Mario's age (m).
Complete Jose's equation:
y=_____
Thanks so much have a good day!
The equation that can be used to determine Jose's age given Mario's age is j = [tex]3\frac{1}{3}[/tex]m
What is the equation?Th relationship between Jose's age and Mario's age can be modelled as a linear equation. A linear equation is an equation that when graphed is a straight line. The straight line can either slope upward or downward.
A linear equation is an equation that increases at a constant rate. It has a single variable that is raised to the power of one.
Looking at the table, there is a proportional relationship between Jose's age and Mario's age.
A proportional relationship has this form: j = bm
Where:
j = Jose's age m = Mario's age b = constant of proportionality10 = b3
b = 10 / 3
b = 3 1/3
j = [tex]3\frac{1}{3}[/tex]m
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Answer:
j=m+7
Step-by-step explanation:
Select all of the TRUE statements
A.
Dilations of a triangle are congruent to the original triangle.
B.
Dilations always increase the length of line segments.
C.
Dilations of a triangle are similar to the original triangle.
D.
Dilations of perpendicular lines remain perpendicular lines.
E.
Dilations increase the measure of angles.
F.
Dilations of an angle are congruent to the original angle.
The statements which are true include the following:
C. Dilations of a triangle are similar to the original triangle.
D. Dilations of perpendicular lines remain perpendicular lines.
F. Dilations of an angle are congruent to the original angle.
The types of transformation.In Geometry, there are different types of transformation and these include the following:
ReflectionRotationTranslationDilationWhat is dilation?Dilation simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the scale factor used.
In this context, we can reasonably infer and logically deduce that a dilation of perpendicular lines would always remain perpendicular lines because it takes each of the line to another perpendicular line.
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