Answers
The table represent a direct proportional relation.
How to determine if a table represents a proportional relation
In this question we find a table with four pairs of elements that have to be tested with respect to the direct proportional formula, which is defined below:
y = k · x
Where:
x - Independent variable.y - Dependent variable.k - Constant of proportionality.The table represents a direct proportional relation if and only if there is only one constant of proportionality:
k₁k₁ = 12 / 3
k₁ = 4
k₂k₂ = 20 / 5
k₂ = 4
k₃k₃ = 8 / 2
k₃ = 4
k₄k₄ = 32 / 8
k₄ = 4
As k₁ = k₂ = k₃ = k₄, the table represent a proportional relationship.
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Related Questions
Solve the system of one linear- one Quadratic equations algebraically.
x-y=3
x^2-3y=19
Answers
Answer:
x=-2 y=-5
x=5 x=2
X=5 x=2
Cffccccf
subtract the equation[tex](7x - 2) - (3x - 5)[/tex]
Answers
8. The smaller of two numbers is five less than half the larger number. Their sum is 13. Find the numbers,
Answers
Larger number: 12
Smaller number: 1
Let Statements:
Let x = the larger number
Let 1/2x - 5 = the smaller number
Equation:
x + (1/2x - 5) = 13
1.5x - 5 = 13
1.5x = 18
x = 12
Solutions:
The larger number = x = 12
The smaller number = 1/2x - 5 = 1/2(12) - 5 = 6 - 5 = 1
i need help but my chromebook doesn't accept the ads
Answers
Answer:
Whats the question?
A data set includes the following numbers: eighteen over 5, two and four fifths, 97%, and 1.74. Part A: What is the order of the numbers from least to greatest? Write your answer using the numbers in their original form. (2 points) Part B: Did you use estimation or rewrite the numbers in equivalent forms? Please explain your answer. (2 points)
Answers
Answer:the answer is a
Step-by-step explanation:
Need help on this question with some explanation "Graph the image of the figure on the right under the given translation". T(3,2) (x,y) . Thanks in advance!
Answers
ANSWER
[tex]A[/tex]EXPLANATION
The given translation
[tex](3,2)[/tex]This means the shape will be translated 3units to the right and 2 units up.
That is;
[tex]\begin{gathered} (x+3) \\ (y+2) \end{gathered}[/tex]Which equation demonstrates the identity property?? (question 2\10 in 6th g math) ( be fast pls need this right now)
A. (3x4)+(3x5)=3(4+5)
B. 3x5=5x3
C. 3(4x5)=(3x4)x5
D. 4x1=4
(15 points)
Answers
Answer: The identity property of multiplication states that multiplying a number by one will result in the original number. 1 * x = x
Step-by-step explanation:
a)
12 +15 = 3 *9
27= 27
1
B) 15=15
=1
c) 3*20=12*5
60=60
=1
d) 4=4
=1
The sum of three consecutive even integers is 20 less than four times the
first. What are the integers?
Answers
The most appropriate choice for linear equation will be given by -
The integers are 26, 28, 30
What is linear equation?
At first it is important to know about equation
Equation shows the equality between two algebraic expressions by connecting the two algerbraic expressions by an equal to sign.
A one degree equation is known as linear equation.
Here,
Let the integers be x - 2, x, x + 2
Sum = x - 2 + x + x + 2 = 3x
20 less than Four times the first = 4(x - 2) - 20
By the problem,
[tex]3x = 4(x - 2) -20\\3x = 4x - 8 -20\\4x - 3x = 28\\x = 28[/tex]
The integers are 28 - 2, 28, 28 + 2
The integers are 26, 28, 30
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Classify the triangle with sides of lengths 25 ft, 23 ft, and 8 ft.
equilateral triangle
O scalene triangle
isosceles triangle
Answers
all sides have different lengths
Hello, I was wondering if the fraction 5/2 x and 5x/2 have the same value.
Answers
We have:
[tex]\frac{5}{2}x\text{ and }\frac{5x}{2}[/tex]These fractions are equal because the x is found by multiplying and it is as if we have this:
[tex]\frac{5}{2}\times\frac{x}{1}\text{ and }\frac{5\times x}{2}[/tex]And as we already know:
[tex]\frac{5}{2}\times\frac{x}{1}=\frac{5\times x}{2\times1}=\frac{5\times x}{2}=\frac{5x}{2}[/tex]How much time will it take for these two vehicles to meet?
34 miles, 55mph, 30mph
Answers
The time for the two vehicle will meet is 0.4 hours .
How to find the time the two vehicles will meet?According to the diagram, the first car drive at a speed of 55 miles per hour and the second vehicles drives at a speed of 30 miles per hour.
The distance apart of the cars is 34 miles.
Speed is measured as the ratio of distance to the time in which the distance was covered.
In other words, speed is the distance travelled per unit of time.
speed = distance / time
Therefore,
distance = speed × time
Hence,
let
x = time use by the car
Therefore, the total distance can be express as follows:
55x + 30x = 34
85x = 34
divide both sides by 85
85x / 85 = 34 / 85
x = 0.4 hours.
Therefore, it will take 0.4 hours for the cars to meet.
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I have a graph with the question. If the parent function is y= 2 to the power of x plus 2, which is the function of the graph
Answers
The parent function of the graph is
[tex]y=2^x[/tex]The function of the grapg will be
[tex]y=2^{x\text{ + a}}\text{ + b}[/tex]at x equals infinity y equals 1
Therefore
[tex]\begin{gathered} \text{x =}\infty\text{ then y = 1} \\ \text{this implies} \\ b\text{ = 1} \end{gathered}[/tex]Therefore the function will now be
[tex]y=2^{x\text{ + a}}\text{ + 1}[/tex]from the graph
x = 2 when y = 2
Therefore,
[tex]\begin{gathered} 2=2^{2\text{ + a}}\text{ + 1} \\ 2-1=2^{2\text{ + a}} \\ 1=2^{2\text{ + a}} \\ \text{recall 1 = 2}^0 \\ 2^0=2^{2\text{ + a}} \\ 2\text{ + a = 0} \\ a\text{ = - 2} \end{gathered}[/tex]Therefore, the function is
[tex]y=2^{x\text{ - 2}}\text{ + 1}[/tex](08.07) 10 8 6 + 4 3 -2 2 2 -8 -10 -12 - 14 + -16 Which of the following functions best represents the graph? (4 points) Of(x) = x3 + x2 - 9x - 9 f(x) = x3 + 4x2 - X-4 Of(x) = x3 + 3x2 – 3x - 9 Of(x) = x3 + 2x2 - 4x - 8
Answers
Given data:
The given graph of the polynomial.
The value of the given polynomial is zero, at x=-3, -1, and 3.
Substitute -3 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(-3)=(-3)^3+(-3)^2-9(-3)-9 \\ =-27+9+27-9 \\ =0 \end{gathered}[/tex]Substitute -1 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(-1)=(-1)^3+(-1)^2-9(-1)-9 \\ =-1+1+9-9 \\ =0 \end{gathered}[/tex]Substitute 3 for x in the expression of the first polynomial.
[tex]\begin{gathered} f(3)=(3)^3+(3)^2-9(3)-9 \\ =27+9-27-9 \\ =0 \end{gathered}[/tex]As all the points are satisfied for the first option.
TThus, the first option is correct.
Frigidia is a colony in Antarctica. The colony is 1,000 square kilometers in size. Currently, 30,000 people live there. Last year, 10,000 children were born and 2,000 people immigrated. 20,000 people died and 5,000 emigrated. It is believed that the island could support up to 50 people per square kilometer.
The current growth rate is ___.
4.3 %
-4.3%
-43%
43%'
Answers
Answer:
ewan ko po pero yan yung alam ko4.3%
I hope its help
Solve for b.
1.34(b + 2) = 9.38
Answers
Answer:
Step-by-step explanation:
1.34(b + 2) = 9.38
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex]
=> (b+2) = [tex]\frac{9.38}{1.34}[/tex] x [tex]\frac{100}{100}[/tex]
=> b+2 = 7
=> b = 7-2
=> b = 5
To solve the equation, we must subject b
so as 1.34 is in multiplication form with (b+2), if we take it to the other side of equals sign, it will be inverse which means it will be dividing 9.38
by multiplying 100/100 with the fraction, the decimals can be removed (100 because the dot of decimal is considered one and there are two digits after dot, so two zeroes)
then by simple division we can find 7
then as 2 is added with be if it goes to other side it will be inverted and be subtracted from 7
so we get 5
Simplify using order of operation 10^2-2[12-(3-2)]
Answers
Given the expression:
[tex]10^2-2\lbrack12-(3-2)\rbrack[/tex]We start from the parenthesis inside the brackets. We know that 3-2=1, then:
[tex]10^2-2\lbrack12-(3-2)\rbrack=10^2-2\lbrack12-(1)\rbrack=10^2-2\lbrack11\rbrack[/tex]now, we have that 10^2=100 and 2*11 =22, then:
[tex]10^2-2\lbrack11\rbrack=100-22=78[/tex]therefore, the result of simplifying the expression is 78
Shawn and his bike have a total mass of
48.1 kg. Shawn rides his bike 1.5 km in
12.5 min at a constant velocity.
The acceleration of gravity is 9.8 m/s
2
.
What is Shawn’s kinetic energy?
Answer in units of J.
Answers
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
What is kinetic energy?The energy an item has as a result of motion is known as kinetic energy in mechanics. It is described as the effort required to move a mass-determined body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its propulsion until its speed changes.
The kinetic energy is given as,
KE = (mv²)/2
Where m is the mass and v is the velocity.
Shawn and his bike have a total mass of 48.1 kg. Shawn rides his bike 1.5 km in 12.5 min at a constant velocity.
The velocity is given as,
v = 1.5/12.5
v = 0.12 km/min
v = 0.12 x 1000 / 60
v = 2 m/s
Then the kinetic energy of Shawn will be given as,
KE = (48.1 x 2²) / 2
KE = 48.1 x 2
KE = 96.2 J
If the velocity is 2 meters per second. Then the kinetic energy of the Shawn will be 96.2 Joules.
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50 POINTS!!!!!
decide whether the statement about the diagram is true explain your answer
ES ≅ ST
Answers
Answer: No
Step-by-step explanation:
The segments are not indicated to be congruent.
which of the statements are true of the residuals in a regression equation? multiple choice question. they measure the impact of firm-specific events. they are not part of regression analysis. they reflect systematic risk. they represent alpha.
Answers
The residuals in a regression equation measure the impact of firm-specific events.
Residuals = Actual y value - Predicted y value
Residual analysis is a helpful set of methods for assessing the quality of a fitted model. Checking the underlying assumptions is crucial because most linear regression estimators depend on independent errors with the same distribution and a correctly stated regression function in order to be consistent. Regression is a statistical technique used in finance, investing, and other fields that aim to ascertain the strength and nature of the relationship between a single dependent variable (often represented by Y) and a number of other factors (known as independent variables).
The residuals in a regression equation measure the impact of firm-specific events.
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Shona has 14 dresses.
50% of these dresses are red.
She gives 5 of her red dresses to a charity shop.
She buys 1 new red dress.
What percentage of the dresses she has now are red?
Answers
Answer:
She has 3 dresses for sure! But I don't know the percentage!
She gives 5 red dresses away leaving 2 red out of 9 dresses
Now buys another red dress resulting in 3 red out of 10 dresses.
3/10 = 30% of her dresses are now red
Answer the question below
Answers
Answer:
(a)
[tex] log_{2}(7) + log_{2}(3) = log_{2}(21) [/tex]
(b)
[tex] log_{9}(7) - log_{9}(8) = log_{9}( \frac{7}{8} ) [/tex]
(c)
[tex] log_{2}( \frac{1}{9} ) = - 2 log_{2}(3) [/tex]
Mr. Reed is drawing a blueprint of a rectangular patio. The width of the patio is 40 3/4 feet shorter than twice its length. The perimeter of the patio is 86 1/2 feet. What is the length of the patio?
Answers
Answer:
length = 28 feet
Step-by-step explanation:
let length = x
width = 2x - 40 3/4
= 2x - 163/4
= 2x - 40.75
perimeter of a rectangle = 2(l+w)
according to the question:
86 1/2 = 2(l+w)
86.5 = 2(x + 2x - 40.75)
86.5 = 2(3x - 40.75)
86.5 = 6x - 81.5
86.5 + 81.5 = 6x
thus, x = 28
Helppppppppppppppoopppppppppppp
Answers
Answer:
-7, -6, -4, -2, 7
Step-by-step explanation:
f(-4) = -4 - 3
f(-4) = -7
f(-3) = -3 - 3
f(-3) = -6
f(-1) = -1 - 3
f(-1) = -4
f(1) = 1 - 3
f(1) = -2
f(10) = 10 - 3
f(10) = 7
Mason went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 45 grams of sugar and each bottle of juice has 15 grams of sugar. Mason purchased a total of 11 bottles of juice and soda which collectively contain 285 grams of sugar. Write a system of equations that could be used to determine the number of bottles of soda purchased and the number of bottles of juice purchased. Define the variables that you use to write the system
Answers
The number of soda bottles = 4
The number of sugar bottles = 7
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
Let the number of soda bottle = x
And, The number of sugar bottle = y
Since, Total number of bottles = 11
So, We can formulate;
⇒ x + y = 11 .... (i)
And, Weight of each bottle of soda = 45 grams
Weight of each bottle of sugar = 15 grams
Total weight of sugar and soda = 285 grams
So, We can formulate;
⇒ 45x + 15y = 285 ... (ii)
Multiply by 15 in equation (i) and subtract from (ii), we get;
⇒ 45x + 15y - 15x - 15y = 285 - 165
⇒ 30x = 120
Divide by 30;
⇒ x = 4
Hence, x + y = 11
4 + y = 11
y = 11 - 4
y = 7
So, The number of soda bottles = 4
The number of sugar bottles = 7.
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Last night, the two dinner specials at Rhianna's favorite restaurant were salmon filet and steak. The restaurant served 52 specials in all, 25% of which were salmon filets. How many salmon filets did the restaurant serve?
Answers
There were 13 salmon fillets that the restaurant served.
How do we calculate how many salmon fillets the restaurant served?The solution to this math problem involves fractions, especially percentage. A percentage is a fraction of a hundred. The literal meaning of percentage is "per 100". Percentage is often referred to as percent. The symbol or sign for percentage is %. The number beside the symbol/sign is the numerator, so for example, 10% can also be written as 10/100.
We're given that 25% of the dinner specials served by the restaurant were salmon fillets. In order to find out how many salmon fillets were served, we only need to multiply 52 by 25%.
52 × 25% =
52 × 25/100 =
(52 × 25)/100 =
1,300/100 = 13
There were indeed thirteen salmon fillets served by the restaurant.
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an oil prospector will drill a succession of holes attempting to find a productive well. assume the probability of being successful on any drilling is 0.15, and that outcomes of drillings are independent. what is the expected number of drilling attempts needed in order to find a productive well? what is the probability that the first productive well is found on the third attempt? if the prospector can only afford to drill five holes, what is the probability that the prospector will fail to find a productive well
Answers
The oil prospector drills wells with a success probability of 0.15. The probability of finding the first productive well in the third attempt is 0.108375 and the probability that the prospector fails to find productive well in the first 5 attempts is 0.26724 or 26.724%
Let Y be the number of drilling trials on which the prospector will find the first productive well. As Y is a geometric random variable with p=0.15 where p is the probability of being successful on any drilling. Let q = 1- p be the probability of being unsuccessful in drilling a well. q = 1 - 0.15 = 0.85
The probability that the first productive well is found on the third attempt is when outcomes are independent
P(Y=3) = q * q * p = 0.85^2* 0.15 = 0.108375
We want to find the probability that 5 wells are drilled and not a productive one is found. That is we need to find p(Y>5). Y is a binomial random variable with several wells drilled at most as n. Given n=5 and p=0.15, q = 0.85
We know the geometric probability is p(y) = [tex]q^{y-1}[/tex]p
Then corresponding probabilities are added
p(Y≤ 5 ) = p(0) + p(1) +p(2) + p(3) +p(4) +p(5)= 0.73276
Using the complement rule:
p(Y>5) = 1 - p(Y≤5) = 1- 0.73276 = 0.26724 = 26.724 %
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eli needs to order some new supplies for the restaurant where he works. .Therestaurant needs at least 546 knives. There are currently 312 knives. If each set on
sale contains 10 knives, write and solve an inequality which can be used to determine
x, the number of sets of knives Eli could buy for the restaurant to have enough
knives.
Answers
Eli could buy is at least 24 sets of knives
How to determine the number of sets of knives Eli could buy?From the question, we have the following parameters:
Number of knives needed = At least 546Number of knives in the restaurant = 312Number of knives per set = 10Let the number of sets be x
So, we have the following representations
Number of knives needed = Number of knives needed + Number of knives per set x Number of set
So, we have
312 + 10x ≥ 546
Evaluate the like terms
10x ≥ 234
Divide by 10
x ≥ 23.4
Rewrite as
x ≥ 24
Hence, the number of sets of knives Eli could buy is at least 24
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Answer:
Inequality: 312+10x≥546
x≥24
Step-by-step explanation:
its the same as the bottom
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle ha length 3/8 and width of 3in. Detriment wether the dimensions of each rectangle described as a proportional to the dimensions of tailors first rectangle
Answers
By comparing the dimensions above with the dimensions of Taylor's first rectangle, we have the following:
No, a length of 6 in, width 3/4 in. is not proportional.Yes, a length of 1/2 in, width 4 in. is not proportional.No, a length of 1 1/8 in, width 9 in. is not proportional.No, a length of 3 in, width 5 5/8 in. is not proportional.What is a direct proportion?Mathematically, a direct proportion (direct variation) can be represented the following mathematical expression:
y = kx
Where:
y and x are the variables or dimensions.k represents the constant of proportionality.For the dimensions of the rectangular pieces of paper to be proportional, the length and width must remain in a constant ratio.
Next, we would determine the constant of proportionality (k) as follows:
k = y/x
k = (3/8)/3
k = 3/24
k = 1/8
For dimension 1, we have:
k = y/x
k = (6)/(3/4)
k = 24/3
k = 8 (No).
For dimension 2, we have:
k = y/x
k = (1/2)/4
k = 1/2 × 1/4
k = 1/8 (Yes).
For dimension 3, we have:
k = y/x
k = (1 1/8)/9
k = (9/8)/8
k = 9/8 × 1/8
k = 9/64 (No).
For dimension 4, we have:
k = y/x
k = (3)/(5 5/8)
k = 3/(45/8)
k = 3 × 8/45
k = 24/45 (No).
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Complete Question:
Taylor works on an art project that uses only rectangular pieces of paper. The first rectangle has length 3/8 in. and width 3 in. Determine which dimensions below are proportional to the dimensions of Taylor's first rectangle.
the measure of the angle of a triangle are shown in the figure below. solve for x
Answers
Answer:
Step-by-step explanation:
A triangle is 180°
One angle is a right angle = 90°
And one is an acute angle of 27°
So 90+27= 117
You subtract 180 with 117 to get the answer of
X= 63°
2(5+x)-1=3x+9splve for x
Answers
2(5 + X) - 1 = 3X + 9
Step 1: Expand the terms in the bracket
=> 2 x 5 + 2 x X - 1 = 3X + 9
=> 10 + 2X - 1 = 3X + 9
Step 2: collect like terms
=> 2X - 3X = -10 + 1 + 9
=> -X = 0