The linear function that models the relationship between the two variables is y = 1200x+ 45000
How to find a linear function that models the relationship between the two variables and describe the slope and intercept?The given parameters are
Rate = $1200 per year
Initial price in 1960 = $45000
In a linear function, we have
Slope, m = Rate
Y-intercept, c = Initial price
A linear equation is represented s
y = mx + c
So, we have
y = 1200x+ 45000
Hence, the linear function that models the relationship between the two variables is y = 1200x+ 45000
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I need help with this question
Answer:
x= 32
Step-by-step explanation:
3x-2+3x-10= 180 (sum of angles in straight line)
6x-12=180
6x=192
6x/6= 192/ 6
x = 32
Step-by-step explanation:
3x - 2 ° + 3x - 10° = 180°
reason : being angle in linear pair ...
6x - 12 = 180°
6x = 180° + 12
6x = 192°
[tex] x = \frac{192}{6} \\ [/tex]
x = 32°
Now ,
3x - 2 °
= 3 × 32 - 2
= 96 - 2
= 94°
Again ,
= 3x - 10°
= 3 × 32 - 10°
= 86°
☘☘☘...
Margot purchased 13.5 cups of almond flour to make gluten-free muffins. each batch of muffins requires 3 1/2 cups of flour plus another 1/5 cup to coat the pan. how many batches of muffins can margot make?
Answer:
I don't know
Step-by-step explanation:
I don't know
A gold mine has two elevators, one for equipment and another for the miners. The equipment elevator
descends 6 feet per second. The elevator for the miners descends 15 feet per second. One day, the equipment elevator begins to descend. After 33 seconds, the elevator for the miners begins to descend. What is the position of each elevator relative to the surface after another 12 seconds? At that time, which elevator is deeper?
i. The equipment elevator is at a depth of 270 feet (-270 feet), while the miners elevator is at a depth of 180 feet (-180 feet) below the surface.
ii. The equipment elevator is deeper than that of the miners elevator.
The speed of an object is the rate at which the object moves.
speed = distance / time.
Thus,
Speed of the equipment elevator = 6 feet per second
Speed of the miners elevator = 15 feet per second.
Time of descent of the equipment elevator = 33 + 12
= 45 seconds
So that, the distance of the elevator at this time is;
⇒ distance = speed x time
= 6 x 45
= 270 feet
distance = - 270 feet
The distance of the miners elevator after 12 seconds is:
⇒ distance = speed x time
= 15 x 12
= 180 feet
distance = - 180 feet
Thus after another 12 seconds, the equipment elevator is at a depth of 270 feet (-270 feet), while the miners elevator is at a depth of 180 feet (-180 feet) below the surface.
Therefore, the equipment elevator is deeper than that of the miners elevator.
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It takes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters. What is the unit rate in minutes per meter? Write your answer as a fraction or a mixed number in the simplest form. pls answer
The unit rate in minutes per meter is 12½ min./m if it takes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters.
It takes 15/2 mins to fill an empty aquarium to a depth of 3/5 meters.
In a situationism like this we can make a equation such as
15/2 = 3/5
Lets multiply 5 in both sides
15/2 × 5= 3/5 × 5
75/2 = 3
Now lets divide both sides with 3
(75/2)/3 =3/3
25/2 = 1
Thus, the unit rate in minutes per meter is 12½ min./m if it akes 15 over 2 minutes to fill an empty aquarium to a depth of 3 over 5 meters.
What is unit rate?Which car goes faster, a car that travels 42 miles in three hours or a car that travels 132 miles in seven hours? The solution is determined by the unit rate of each automobile. Rather than comparing the distances traveled in two or seven hours, compare how far each car drives in one hour.
A unit rate is just a ratio of two unit values, with the denominator always being one. This enables easy comparison of data values. To mention a few, common unit rates in the real world include miles per hour (MPH), price per unit, miles per gallon (MPG), revolutions per minute (RPM), and pay per year.
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A 10½ ounce bottle of apple juice costs $2.49. A 16 ounce bottle costs
$2.99. A 16 1/4 ounce bottle costs $2.99. Which bottle is the better buy per cost?
Answer:
3rd option
Step-by-step explanation:
find the cost of 1 ounce and see which one is the cheapest
W H A T I S T H E A W N S E R F O R 8 x 2/5 =
Answer:
3 1/5
Step-by-step explanation:
8×2/5 is 16/5= 3 1/5
because u multiple the top number
h) Suppose that a cold drink costs R4,50 now but will cost double in eight years' time. What will the average inflation rate be?
average inflation rate of cold drink will be 100%
WHAT IS INFLATION RATE ?Inflation is the term used to describe an increase in the price of goods and services that households buy. It is determined by how quickly these prices fluctuate. Prices frequently rise with time, but they can also fall (a situation called deflation).
CALCULATIONYou will subtract the starting price (A) from the later price (B), and divide it by the starting date (A). Then multiply the result by 100 to get the inflation rate percentage.
FORMULA FOR FINDING AVERAGE INFLATION = ((B-A)/A)*100
plugging in the values =
∵ given in the question that cost will double in the next 8 years i.e.
= Rs. 4.50 * 2
= Rs.9.00
∴ when we plug in the values in the formula we get
= ((9-4.5)/4.5) * 100
= 100 % inflation rate
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Select all the correct answers.
Which three expenses could money invested in a 529 plan be used for without penalty?
оооо
clothes
gas
gym membership
room and board
textbooks
tuition
Evaluate: b - a for a = 2 and b = 7
O -5
O 5
O 9
O 14
b - a = 5
Here we have to find the value of b-a,
Where, a = 2 and b =7
By putting the value of a and b we have,
b - a =7 - 2
= 5
Therefore b-a = 5 that is option b is the correct answer.
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16 divided by 200 times 100
[tex]16 : (200 \cdot 100) =[/tex]
[tex]16 : 20000 = 0.0008[/tex]
Answer:
8
Step-by-step explanation:
To solve this problem we use PEMDAS; Parenthesis, Exponents, Multiply, divide, add, subtract
Let's set up an equation:
16/200*100
Now let's solve:
16/200=0.08
Now we multiply 0.08 by 100
0.08*100=8
Thus, our answer is 8
What does the point (1,2) represent?
Answer:
In points (1,2), 1 is the value of X which represents Time in Hours and 2 is the value of Y which means Cost or $ per hour for the duration of the parking in the lot. I hope this helps.
Step-by-step explanation:
for a sequence(chapter3) of numbers, suppose that you attach 1, then 2, then 3, and so on up to n. what is the big-o time analysis for the combined time of attaching all n numbers?
The big-o time analysis for the combined time of attaching all n numbers i O(n).
The big-O running time gives the relationship between the steps taken for the algorithm and its running time. it is denoted by O(.), where . refers to the some f(n). f(n) is determined by the way of the algorithm in each step.
Here, we attach 1, then 2,then 3 and so on up to n to make a sequence of numbers. So at a time, only 1 number is attached and therefore one step of the algorithm is working. So we can say that the big-O time analysis for the combined time of attaching all n numbers is O(n).
This means that at n = 1, only 1 step is taken by the algorithm .At n=2, two steps and continued like this up to n steps.
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suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity. how many dollars are given to charity?
The number of the dollars given to the charity will be $99,000,000.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that someone has a net worth of 7.92×10¹⁰.Suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity.
The number of dollars given to the charity will be calculated as below:-
Networth: 7.92 × 10¹⁰.
The percentage given to the charity is:-
1/8 %= 0.125 % = 0.00125 × networth
The number of dollars given to the charity is:-
Number of dollars = 0.00125 × 7.92 × 10¹⁰.
Number of dollars = $99,000,000.
Therefore, the number of dollars given to the charity will be $99,000,000.
The complete question is given below:-
If someone has a net worth of 7.92 × 10¹⁰.Suppose that this individual now decides to give one-eighth of a percent of his new net worth to charity. How many dollars are given to charity?
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Answer quickly please
Answer:
No
Step-by-step explanation:
Does not pass the vertical line test.
PLEASE HELP!! QUESTION IS BELOW!! :)
The two column proof that completes each statement is as shown below.
How to complete the two column proof?We are given that ∠ABD = 85°
We are also told that;
Statement 1: m∠ABC + m∠CBD = M∠ABD
Reason 1: Angle Addition Postulate
Statement 2; m∠ABC + x° = 85°
Reason 2; Substitution Property
Statement 3; m∠ABC + x° - x° = 85° - x°
Reason 3; Subtract x° from both sides.
Statement 4; m∠ABC = 85° - x°
Reason 4; Simplify
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Triangle ABC has the following angle measures:
m∠A = (2x − 24)°, m∠B = (x + 8)°, m∠C = (4x + 49)°
What is m∠A?
pleaseee help
The measure of angle A in the triangle is 18°
How to determine the measure of angle A?The angles in the triangle are given as:
m∠A = (2x − 24)°, m∠B = (x + 8)°, m∠C = (4x + 49)°
The sum of angles in a triangle is 180
So, we have
m∠A + m∠B + m∠C = 180
Substitute the known values in the above equation
So, we have:
2x − 24 + x + 8 + 4x + 49 = 180
Evaluate the like terms
7x = 147
Divide both sides by 7
x = 21
Substitute x = 21 in m∠A = (2x − 24)°
m∠A = (2 * 21 − 24)°
Evaluate
m∠A = 18°
Hence, the measure of angle A in the triangle is 18°
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students no longer have to visit a physical store to buy course books because most course books can now be obtained .
Students no longer have to visit a physical store to buy course books because most course books can now be obtained online.
What should you try first if an online course is having technical issues?
If you have any questions or concerns about the material in your online course, don't be afraid to ask your teacher or a fellow student. You should speak with your teacher or Blackboard Help for Students if you are experiencing technical issues with Blackboard.What drawbacks exist with online learning?
The fact that much online learning is one-way communication presents one of the largest obstacles. There is no communication between the teacher and the student. The experience will be radically different, and for many students, the transition may be challenging. Motivation is the second issue with online learning.Learn more about online learning
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solve for y 9=y/4-2
pleas help need to submit soon
Answer:
Y = 44
Step-by-step explanation:
44/4 - 2 = 9
11 - 2 = 9
Y = 44
<3
Becca made 2 trays of rolls and biscuits. Each tray had 12 rolls and 6 biscuits. How many total rolls and biscuits did Becca make?(1 )point
Answer:
24 roles and 12 biscuits
Step-by-step explanation:
She had 2 trays which each had 12 ROLES and 6 BISCUTS.
Roles: 12x2 = 24
Biscuits: 6x2 = 12
So the total is 24 roles and 12 biscuits.
59263 dived by the power of 10 x843
59263 divided by a number raised to the power of 10 × 843 is presented as follows;
[tex] \frac{59263}{843}\times x^{-10} [/tex]
How can the given expression be simplified?The given number to be divided is 59263
Let x represent the number that is raised to the power of 10, we have;
The number by which 59263 is divided = x¹⁰ × 843
Therefore, we have;
59263/(x¹⁰ × 843)[tex] \frac{59263}{x^{10} \times 843} = \frac{59263}{843}\times x^{-10} [/tex]
The given expression expressed using the rules of indices is therefore;
[tex] \frac{59263}{843}\times x^{-10} [/tex]
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The following statements are true.
a. If a quadrilateral has four right angles, then it is a rectangle.
b. If a quadrilateral is a square, then it has four right angles.
c. If a quadrilateral is a parallelogram, then its opposite sides are congruent.
d. If a quadrilateral is a rhombus, then it is a parallelogram.
Using the Law of Syllogism, which conditional statements are accurate?
If a quadrilateral is a rhombus, then its opposite sides are congruent.
If a quadrilateral is a rhombus, then it is a rectangle.
If a quadrilateral has four right angles, then it is a square.
If a quadrilateral is a square, then it is a rectangle,
If a quadrilateral is a rhombus, then opposite sides are congruent. True
If a quadrilateral is a rhombus, then it is a rectangle. False
If a quadrilateral has four right angles, then it is a square. True
If a quadrilateral is a square, then it is a rectangle. True
What is quadrilateral?
With four sides, four vertices, and four angles, a quadrilateral is a closed shape and a specific kind of polygon. Four non-collinear points are connected to produce it. A quadrilateral's internal angles add up to 360 degrees in all cases.
The Latin words "Quadra" for four and "Latus" for "sides" are combined to get the English word quadrilateral. A quadrilateral need not have equally long sides on all four sides. So, depending on the sides and angles, we can have many quadrilateral forms.
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How much mustard, chili, and salt would you need for 5 batches of spice mix?
how much is in the spice mix? context is necessary
Struggling with this assignment hoping to get some tips and an explanation also please put the answer and solution thank you
$72.35-6.19=?
Anyone?
What is the square root of m6?
m²
m³
m4
m5
Answer:
m³
Step-by-step explanation:
have a good night :)
:)
Rewrite 8x + 64 using a common factor.
8x(x + 64)
8x(x + 8)
8(x + 64)
8(x + 8)
The expression (8x+64) can be rewritten as a common factor as 8(x+8).
According to the question,
We have the following expression:
(8x+64)
It is to be noted that a common factor is such a number including a variable that it can completely divide a term. For example, in this expression, 8 is such a number that it can divide both 8x as well as 64.
(This can be better understood using more examples. For example, 4 is a common factor in 4x+24 and 5 is a common factor in 5x+30.)
Now, taking 8 as a common factor:
8 (x+8)
Hence, the correct expression is D (the fourth one).
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What is the answer to this problem?
Answer:
x + 10
Step-by-step explanation:
It says 10 MORE than a number.
SO that's + 10
The numbr is x so:
x + 10
Answer
x + 10
Step-by-step explanation:
The question asking "more than" implies that you need to add, and x represents your unknown number.
find the circumference of a circle whose area is equal of 64 π centimeters square
The circumference of the given circle is: 16πcm.
What is a circle?All points in a plane that are at a specific distance from a specific point, the center, form a circle. In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
Given: Area of a circle = 64π cm²
To find: Circumference of the circle.
Finding:
We know that the formula of the area of a circle = πr²,
On comparing it with the given value, we get:
πr² = π(64)
πr² = π(8)²
8² = r²
r = 8cm (as the side of a circle can never be negative).
Also, the formula of the circumference of a circle = 2πr
Thus, for the circle having radius 8 cm, circumference = 2π(8) = 16πcm.
Hence, The circumference of the given circle is: 16πcm.
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pH is measured on a scale of 0 to 14 and refers to the concentration of an acid or base in water. The recommended pH for a swimming pool is 7.2 to 7.8. Write an inequality that represents the recommended pH of the swimming pool.
Answer:
[tex]7.2\leq pH\leq 7.8[/tex]
(any variable can be used in place of "pH")
Step-by-step explanation:
Since the pH has to be between 7.2 and 7.8, it is more than 7.2 and less than 7.8.
The less than equal to sign was used because the pH can also equal 7.2 and 7.8.
Like mentioned, any variable like x can be used instead of the "pH" I put in the equation, but make sure to define your variable.
Hope I helped!!! :)
Solve:
-567 divided by 7
Answer: -81
Hope this helps