Yes, the given relation is proportional and has a constant of proportionality = 0.3 or ratio of proportionality 3/10, thus option (A) is correct.
What are the ratio and proportion?
The ratio is the division of the two numbers.
For example, a/b, where a will be the numerator and b will be the denominator.
Proportion is the relation of a variable with another. It could be direct or inverse.
As given,
A 12-ounce cup costs $3.60.
The ratio of cost to ounce = 3.60/12 = 0.3
A 16-ounce cup costs $4.80.
The ratio of cost to ounce = 4.80/16 = 0.3
So constant of proportionality is 3/10.
Hence "Yes, the given relation is proportional with a constant of proportionality is 0.3".
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There are _ terms in the sequence 1, 2, 2^2, 2^3, ......, 2^70
Answer: 71
Step-by-step explanation:
Sequence: 2^0, 2^1, ....2^70
Number of terms = 70 + 1 = 71
(0 to 70 = 71 terms)
Which of the following shows that PQRS
is a parallelogram for u=8
and v=12
?
Answer:
I think that the answer is the answer to the question
Step-by-step explanation:
Complete the table to show different percentages of Henrik s mass
The variables X and y vary inversely. Write an equation relating X and y.
An equation relating X and y is ___
X and Y have inversely varying values. Construct an equation to connect X and y. A formula connecting X and y is -10.
What is meant by inversely varying values?The link between two variables known as "inverse variation" occurs when one variable's value increases while the other variable's value declines. Inverse variation, as opposed to direct variation, depicts a relationship that is not linear between two variables. As one number rises, the other falls for two quantities with inverse variation.K is positive, therefore as x rises, y rises as well. As a result, y increases by 1.5 as x increases by 1. Y drops as x grows because k is positive, which causes inverse variation.y = k/x
5 = k/2
k=10
y = 10/x
So when x=-1, y = 10/-1 = -10
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what we can say about the four sides of the rectangle? why?
In a rectangle, all four sides have different lengths and all four angles are right angles (90 degrees). This is because a rectangle is a type of geometric shape that is defined by having four straight sides, with opposite sides being parallel and equal in length, and four right angles.
What is the rectangle?A rectangle is a four-sided shape with opposite sides that are equal in length and opposite angles that are equal in measure. It is a type of polygon and is one of the most basic shapes in geometry. It is also a parallelogram with all its angles are right angles.
In a rectangle, all four sides have the following properties:
They are all straight lines.They are all equal in length.The opposite sides are parallel to each other.The opposite sides are also congruent to each other, meaning they have the same length.These properties are true because a rectangle is a geometric shape that is defined by having four right angles, and four straight lines as sides. This makes all four sides straight and parallel to each other, and the opposite sides congruent and equal in length.
Additionally, the rectangle is a special case of a parallelogram, which is a shape that has two pairs of parallel sides, and since opposite sides of a rectangle are parallel to each other, it's also a parallelogram.
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help needed. due today TT
There is a linear relationship between the number of people in a group and the cost to enter a museum. The museum charges $20 for two people and $28 for three people.
Part C: Using your work from Part A, complete this prompt: How many people can enter the museum for $100?
Answer:
11 people could enter for $100
Step-by-step explanation:
According to the information given:
$28=3 people
$20=2 people
so it goes up by 8 dollars for every person added
20-8= 16, the original fee, meaning the sequence formula would be:
8n+8 (n being the number of people)
if 8n+8=100
8n=92
n=11.5 rounded down would be 11
Blue Guitar Music School borrowed $30,000 from the bank signing an 8%, 6-month note on November 1. Principal and interest are
payable to the bank on May 1. If the company prepares monthly financial statements, what adjusting entry should the company make
at November 30 with regard to the note?
The adjusting entry that Blue Guitar Music School, which borrowed $30,000 on an 8%, 6-month bank note on November 1, should make on November 30 is:
Debit Interest Expense $200Credit Interest Payable $200.What is an adjusting entry?An adjusting entry is recording a transaction at the end of an accounting period to recognize it in the books.
Most adjusting entries involve no cash involvements.
Examples of adjusting entries are adjustments for prepayments, accrued expenses or revenue, and non-cash transactions like depreciation.
Transaction Analysis:Interest Expense $ Interest Payable $200 ($30,000 x 8% x 1/12)
Thus, adjusting entries is a standard requirement for the accrual accounting system.
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A contractor is installing a semicircular window with a radius of 3.5 feet.
A semi circle has a diameter connecting its endpoints. The radius is labeled three and five tenths feet.
Find the distance around the window. Use 227 for π. Explain your answer.
Enter the correct answers in the boxes.
Distance:
ft; Find the circumference of the complete circle, C=2πr.
C≈ $$
≈ _/_x_x_ft. The circumference of half the circle is about ___ft. The distance around the window also includes the straight base, so it is about ___ft.
Answer: Distance: 22.7x3.5=79.95 ft;
To find the distance around the window, we need to find the circumference of the complete circle, which is given by the formula C = 2πr.
In this case, the radius is 3.5 ft and π is approximately equal to 227.
So we can substitute these values in the formula: C = 2πr = 2(227)(3.5) = 79.95 ft.
Since the window is a semicircle, we only need half of the complete circumference to find the distance around it, so the distance around the window is about 39.975 ft.
However, the distance around the window also includes the straight base, so it is about 40 ft.
Step-by-step explanation:
In the graph shown, A'B' is the image of AB after a dilation centered at the origin. What is the value of the
dilation constant? Show how you calculated your answer.
If lines AB and A'B' were fully drawn, would they share any
points in common? Why are or why not?
The value of the dilation constant is equal to 1.5.
If lines AB and A'B' were fully drawn, they would not share any points in common because they are parallel lines that can never meet.
What is scale factor?In Geometry, the scale factor of a geometric figure can be calculated by dividing the dimension of the image (new figure) by the dimension of the pre-image (original figure):
Scale factor = Dimension of image (new figure)/Dimension of pre-image(original figure)
Next, we would determine the length of line segment AB and line segment A'B' as follows;
Note: Each interval on this graph represents 1 unit.
|AB| = √(10² + 8²)
|AB| = √(100 + 64)
|AB| = √164
|A'B'| = √(15² + 12²)
|A'B'| = √(225 + 144)
|A'B'| = √369
Therefore, the scale factor is given by:
Scale factor = √369/√164
Scale factor = 1.5.
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I need help on Algebra 2 question
Answer: final equation is g(x) = 5√x + 5
The parent function f(x) = √x is the square root function, which has a shape of a "V" upside down.
The first transformation is a vertical stretch by a factor of 5. To apply this transformation, we need to multiply the function by 5.
g(x) = 5√x
The second transformation is a translation 4 units right, which is the same as adding 4 to the x in the function.
g(x) = 5√x + 4
The final transformation is a translation 1 unit up, which is the same as adding 1 to the y in the function.
g(x) = 5√x + 4 + 1
So the final equation is g(x) = 5√x + 5
The total surface area of Earth is about
5.2 x 10¹4 square meters. The Pacific
Ocean has a surface area of about
14
1.81 x 10 square meters. About what
percent of Earth's surface area is the
Pacific Ocean?
A 5%
B 10%
C
15%
D
35%
E 65%
About 35% of Earth's surface area is the Pacific Ocean. OPtion D is the correct option.
What is surface area?
The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface. It's also expressed in square units.
In general, there are two kinds of areas:
(i) Total surface Area (ii) Curved Surface Area/Lateral Surface Area
Given that the surface area of Earth is about 5.2 x 10¹⁴ square meters.
The surface area of the Pacific Ocean is about 1.81 x 10¹⁴ square meters.
To find the percentage, Multiply 100 by the quotient of the area of the object by the total surface area.
The percentage of the area of the Pacific Ocean is
[(1.81 x 10¹⁴)/(5.2 x 10¹⁴)] x 100
= [1.81/5.2] x 100
= 34.807%
≈ 35%
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The vertex of the quadratic function on the graph is (-2, 4).
Responses
True
True
False
The vertex of the given quadratic function y = 4(x-9)² + 2 on the graph is (9,2) which is the true statement.
What is Parabola?A parabola is a U-shaped curve this is drawn for a quadratic function,
f(x) = ax² + b x + c. The graph of the parabola is downward (or opens down), when the price of a is much less than 0, a < 0. The graph of the parabola is upward (or opens up) when the value of a is more than 0, a > 0.
The quadratic function is given in the question, as follows:
y = 4(x-9)² + 2
The general form of the quadratic equation is with vertex (h,k)
y = a(x-h)² + k
Vertex (h,k) = (9,2)
Thus, this is the true statement and the graph has been attached below.
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The question seems incomplete, the complete question would be as:
The vertex of the quadratic function y = 4(x-9)² + 2 on the graph is (9,2).
True
False
Which expression is equivalent to
9006
√100g4
Answer: 9006 √100g4 is equivalent to 9006*g^4.
Step-by-step explanation:
9006 is equivalent to 9 x 6 x 6 x 6, and √100g4 is equivalent to 10 x g x g x g x g.
So, 9006 √100g4 is equivalent to 9 x 6 x 6 x 6 x 10 x g x g x g x g = 54,000g^4.
You are debating whether to buy a new computer for $1,360.00 with a discount of 10% and sales tax of
6.5% or a refurbished computer with the same equipment for $1,095.00 and sales tax of 5.75%. If a
savings account earns a 3.75% APR, how much do you really save with a refurbished computer if you put
the difference into the savings account for a year and calculate using the simple interest formula?
Be sure to include in your response:
the answer to the original question
the mathematical steps for solving the problem demonstrating mathematical reasoning
Answer:
$151.06
Step-by-step explanation:
You want to know the amount saved by buying a refurbished computer for $1095 with 5.75% tax instead of a $1360 computer at a 10% discount with 6.5% tax, when the difference in purchase price earns 3.75% simple interest for a year.
New computerThe 10% discount means the price is multiplied by (1 -10%) = 0.90. The 6.5% tax means the discounted price is multiplied by (1 +6.5%) = 1.065. The net result is that the purchase cost of the new computer is ...
$1360 · 0.90 · 1.065 = $1303.56
Refurbished computerSimilarly, the tax multiplies the cost of the refurbished computer by 1.0575, so its cost is ...
$1095 · 1.0575 ≈ $1157.96
SavingsThe difference between the costs is put into a savings account, so that will earn interest of 3.75%, bringing the balance to 1.0375 times the original savings:
($1303.56 -1157.96) · 1.0375 = $151.06
You really saved $151.06 if the original savings is put into a savings account.
__
Additional comment
The balance on an account earning simple interest at rate r for t years is ...
A = P(1 +rt)
Here, the amount put into the account is 145.60. At an interest rate of r=3.75%. In one year (t=1), this is multiplied by 1.0375 to obtain the "real savings."
The half life of uranium 234 is 2.5 x 10^5 and a half life of plutonium is 8.0 x 10^7 years. how many times greater is the half of plutonium than uranium 234
The half life of plutonium is 320 times greater than the half life of uranium 234.
How to obtain the ratio between the two amounts?The ratio between the two amounts is obtained applying the proportions in the context of the problem.
The ratio between these two amounts gives how many times one amount is greater than the other.
The half-life of each substance is given as follows:
Plutonium: 8 x 10^7 years.Uranium 234: 2.5 x 10^5 years.Hence the ratio is given as follows:
8 x 10^7 / (2.5 x 10^5) = 3.2 x 10² = 320.
Hence the half life of plutonium is 320 times greater than the half life of uranium 234.
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6.
The lowest common multiple of p, 63 and 81 is 1134. Find a possible value of p.
If the lowest common multiple of p, 63 and 81 is 1134. a possible value of p is 14
How to find the value of PTo find a possible value of p, we can use the property of the lowest common multiple (LCM) that the LCM of two numbers is equal to their product divided by their greatest common divisor (GCD). We can apply this property to the three numbers p, 63, and 81:
LCM(p, 63, 81) = (p * 63 * 81) / GCD(p, 63, 81) = 1134
We can find the GCD of p, 63, and 81 using the Euclidean algorithm:
GCD(p, 63, 81) = GCD(p, GCD(63, 81)) = GCD(p, 9)
Since 9 is a divisor of 63 and 81, it is also a divisor of 1134. Hence, we can simplify the equation:
1134 = (p * 9 * 81) / 9 = p * 81
Dividing both sides of the equation by 81, we get:
p = 1134 / 81 = 14
So, one possible value of p is 14.
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PLS HELP ASAP :(( (I’ll give brainliest if answered before Jan 19/23)
Answer: The bisector of an angle is defined as the set of all points in a plane that are equidistant from the two sides of a given angle. The error in River’s states that LM and MJ are not the distance of M to the two sides of the angle, since they are not perpendicular to the sides and it is not shown Hence river cannot concluded that KM is the bisector of angle LKJ
Solve the equation that’s given
Answer:
a = 130
Step-by-step explanation:
90-40 = 50 (from the right angle)
since it is a straight line, it is:
180-50 = 130 degrees
Complete rest of lab please
The volume of stack of coins is V= 3.40 cm^3.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
Diameter of stack of coins = 1.9cm
Height of stack of coins= 1.2cm
now. we know,
Volume of stack of coins is,
volume = π/4×diameter^2×height
i.e. V= 3.40 cm^3
Hence, The volume of stack of coins is V= 3.40 cm^3.
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(Look at picture) tysm!!!!!!!! <3
Answer: I can't answer right now
Step-by-step explanation: I will get back to you on this
Andrew is creating a rectangular dog run in his back yard. The length of the dog run is 24 feet. The perimeter of the dog run must be at least 58 feet and no more than 96 feet. Use a compound inequality to find the range of values for the width of the dog run. Use
x when writing your inequality.
What is a possible value for c that would make this a triangle?
Answer:
3 < c < 11
Step-by-step explanation:
A side of a triangle cannot be greater than the sum of the other two side lengths; otherwise, it would simply be a line.
Similarly, a side of a triangle cannot be less than the difference of the other two side lengths; otherwise it would simply be a line.
7 + 4 = 11, thus c < 11
7 - 4 = 3, thus c > 3
↓
3 < c < 11
What is the solution set to
|2x + 3 + 4 = 15?
A x = -14 and 8
B
C
D
E
x = -11 and 11
x = -7 and 4
x = 0
x = 1
well
well if x = -11 and 11
x = -7 and 4 then the solution must be to substitute this into ur formula |2x + 3 + 4 = 15 and 2 x x so -7 multiplied by 2 so -14 and substitute the rest
What is the slope of the line of 8x - 6y = 1
Answer:
4/3
or
1.33 repeating
Step-by-step explanation:
-6y = -8x + 1
y = 4/3x -1/6
Answer:
m = 4/3
Step-by-step explanation:
8x - 6y = 1
We want to get it to the form y = mx + b
8x - 6y = 1
-6y = -8x + 1
y = 8/6x + 1
m = 8/6 = 4/3
So, the slope is 4/3
Dianelys is deciding between two truck rental companies. Company A charges an
initial fee of $20 for the rental plus $1.50 per mile driven. Company B charges an
initial fee of $40 for the rental plus $1 per mile driven. Let A represent the amount
Company A would charge if Dianelys drives a miles, and let B represent the amount
Company B would charge if Dianelys drives a miles. Graph each function and
determine the number miles driven, x, that would make the cost of each company the
same.
Company A charges less than Company B when x is shorter than 30 miles. A = 1.50x+75 and B = 2.50x+45 are the price equations used by the companies, respectively.
what is unitary method ?The unit strategy is an approach to problem-solving that involves first figuring out the value of a single unit, then multiplying that value to figure out the required value. Simply described, the unit method is used to extract a single unit value from a specified multiple. For instance, 40 pens would cost 400 rupees, which is equal to the cost of one pen. This procedure might be standardized. one nation. anything has a distinctive element. Its adjoint and reciprocal are equal in terms of mathematics (algebra), linear algebra, mathematical analysis, or mathematics of matrices or operators.
given
In the event that x = 0 miles are traveled, Company A will charge $75 for the rental plus an extra $1.50 per mile. The cost for x miles from Company A is so as follows:
⇒ A = 1.50x + 75
Company B bills $45 for the rental and an additional $2.50 per mile traveled for traveling x = 0 miles. The cost for x miles from Company B would therefore be as follows:
⇒ B = 2.50x + 45
Thus, Company A charges less than Company B when x is shorter than 30 miles. A = 1.50x+75 and B = 2.50x+45 are the price equations used by the companies, respectively.
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Ill give brainliest for the answer
Answer: square B
Step-by-step explanation:
look at it from the side to the top side it looks like a square.
George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.The table shows their price structures. An equation representing George’s charges is written in the chart.
Landscaping Cost
George
Chin
George charges one hourly rate for the first three hours and then reduces his rate for additional hours. Chin charges the same initial rate as George for the first two hours and the same reduced rate for additional hours.
3 x + 3 y = 90
What is the equation for Chin’s charges needed to solve the system and find the cost of the initial and additional hours?
4 x minus 2 y = 84
2 x minus 4 y = 90
2 x + 4 y = 84
4 x + 2 y = 90
The equation for Chin’s charges is 2x+4y=84. Therefore, option C is the correct answer.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, George and Chin work as landscapers. George charges $90 for a 6-hour job. Chin charges $84 for the same job.
George charges one hourly rate for the first three hours and then reduces his rate for additional hours.
So, the equation is 3x+3y=90 --------(I)
George for the first two hours and the same reduced rate for additional hours.
Noe, the equation is 2x+4y=84 --------(II)
x+2y=42
x=42-2y
Substitute x=42-2y in equation (I), we get
3(42-2y)+3y=90
126-6y+3y=90
3y=36
y=12
Substitute y=12 in equation (II) and simplify, we get
2x+48=84
2x=84-48
2x=36
x=18
So, the solution of system of equation is (18, 12)
Therefore, option C is the correct answer.
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|x-5|>9
give the answer as an equality
Since |x-5|>9 is equal to 14, or x > 14, then x -4. In mathematics, there are several varieties of inequality, including polynomial inequality, rational inequality, and absolute value inequality.
What do you mean by inequality ?Let's tackle your disparity one step at a time.
|x-5|>9
Solve absolute value using |x-5|> 9
Either x - 5 > is known. 9 or x - 5 < -9\sx - 5 > 9 (Possibility 1)
x - 5 + 5 > 9 + 5 (Add 5 to both sides) (Add 5 to both sides) $x>14 x - 5 -9 x - 5 + 5 -9 (Possibility 2) (Add 5 to both sides)
x < -4 , x > 14 or x < -4
A relationship between two expressions or values that is not equal to each other is known as inequality in mathematics. So inequality emerges from an imbalance. The equals sign in the equation-like statement 5x 4 > 2x + 3 has been replaced by an arrowhead. This is a prime instance of inequality. The portion to the left is indicated by this.
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Help me with thru question
The place value of 6 is therefore 60. Let's now examine the number 64's fourth digit, which is 4. The one is where the number should be.
What is place value?Our entire number system is built on place value. In this system, a digit's position within a number affects its value. The placements of the digits make the numbers 42,316 and 61,432 distinct from one another.The position or place of a digit in a number is referred to as place value in mathematics. A number can accommodate each digit. Each digit's position will be increased when we represent the number in general form. The starting point for those positions is a unit place, commonly known as one's position.Place value is crucial since it serves as both a starting point and the basis for multiple-digit multiplication, regrouping, and other operations in the decimal system.To learn more about value refer to:
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HELP I'LL GIVE 25 POINTS
A particular hybrid car travels approximately168 miLe on 4 gal of gas. Find the amount of gas required for 714 -miLe trip.
The car needs____ gallons of gas for 714 -miLe trip.
(Type an integer or a decimal.)
Answer:
Step-by-step explanation:
is this college