The equation will be [tex]y=40000+16000*x[/tex]
How do you resolve a two-variable equation?Solve one of the equations for a particular variable. After that, insert that into the other equation and find the variable there. To find the value for the other variable, enter that value into either equation.
Two variables are used in what kind of equation?Equations come in two varieties: identities and conditional equations. All possible values of the variables result in an identity. Only certain combinations of the variables' values make a conditional equation true. Two expressions joined by the equals symbol ("=") form an equation.
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Find the area of a regular 12-sided polygon inscribed in a circle of radius
8 cm.
area of n sided polygon inscribed in a circle is
A = (1/2)nr²sin(360/n) (r = radius of circle)
A = (1/2)12*8²*sin30
= 1/2*12*64*1/2
A = 192 square unit
Lesson 17
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Hypotenuse = 14.5 meters
Opposite side = 6.3 meters
θ = ?
The measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
What is Pythagoras theorem?The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. Mathematically, it can be written as -
(hypotenuse)² = (base)² + (perpendicular)²
Given is a right angle triangle with hypotenuse as 14.5 meters and
opposite side as 6.3 meters.
We can write sine of the angle (θ) as -
sin(θ) = P/H
sin(θ) = Opposite side/Hypotenuse
sin(θ) = 6.3/14.5
(θ) = sin⁻¹(6.3/14.5)
Therefore, the measure of the angle (θ) is equivalent to sin⁻¹(6.3/14.5).
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find the order pairs for y=-5x-4
Answer:
(0,-4),(1,1)(2,6)
Step-by-step explanation:
onsider the transformation.
Which statement about the transformation is true?
O It is isometric because the side lengths remained the
same,
• It is isometric because all
angle measures remained
the same.
It is not isometric because the side
lengths did not
remain the same.
O It is not Isometric because the
not remain the same.
angle measures did
Mark this and return
Save and Exit
The transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
What is isometric transformation?An isometric transformation is one that keeps the angles and distances between the original and changed shapes the same. There are numerous techniques that can be used to alter any image in a plane.
The two figures are isometric only if they are congruent. In the given figure the angles remain the same however the lengths of the side are transformed as the figure is dilated.
Hence, the transformation is not isometric because the side lengths did not remain the same and hence option C is the correct answer.
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The time t in seconds that it takes a car to accelerate to ask mph can be described by T=0.001×0.7 32X^2 +15.417X +603.738 how fast in miles per hour is the car going after 8.55 seconds
The miles per hour that the car is going after 8.55 seconds is 610.79 miles per hour.
How to calculate the time taken?From the information Illustrated, it should be noted that the t in seconds that it takes a car to accelerate to ask mph can be described by T = 0.001 × 0.732X² + 15.417X + 603.738.
In this case, it is important to note that x in the function simply represents the seconds.
Therefore, based on the information, the miles per hour is the car going after 8.55 seconds will be:
T = 0.001 × 0.732X² + 15.417X + 603.738.
T = 0.001 × 0.732(8.55)² + 15.417(8.55) + 603.738
T = 0.001 × 53.511 × 131.815 + 603.738
T = 610.79
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eva invest $120 at a rate of 3% per year compound interest. calculate the total amount eva has after 2 years
Answer:
Eva has $127.31 after 2 years.
Step-by-step explanation:
Here is the formula for compound interest
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Where [tex]A[/tex] is the final amount, [tex]P[/tex] is the initial amount, [tex]r[/tex] is the interest rate as a decimal, [tex]n[/tex] is the number of times the interest applied per time period, and [tex]t[/tex] is the number of time periods.
We are given
[tex]P=120\\r=0.03\\n=1\\t=2[/tex]
Substitute our numbers into the equation
[tex]A=120(1+\frac{0.03}{1})^{1*2}[/tex]
[tex]A=120(1.03)^{2}[/tex]
[tex]A=120*1.03^{2}[/tex]
[tex]A=120*1.0609[/tex]
[tex]A=127.308[/tex]
how many full cases and additional items are needed to fulfill the order 50 items ordered 12 items per case
Answer: Your answer is 60 divided by 13 = 4.165.
Step-by-step explanation: You would have to divide 12 out of 50, and that would be a decimal of 4.166666666666667 So you need an aditional 10 items but then another additional suitcase there is an answer to this but it would come out as a decimal or fraction, so you would have to specify what type of object is going into these suitcases, most people would just deal with it and carry it in the hands lol.
how many full cases and additional items are needed to fulfill the order 56 items ordered 6 items per case
There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
56 items ordered for 6 items per case.
Now, After divide the quotient shows the number of full case and remainder shows the additional items.
Hence, We get;
6 ) 56 ( 9
54
---------
2
Thus, There are 9 full cases and 2 additional items are needed to fulfill the order 56 items ordered 6 items per case.
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Will mark brainliest (I also need to find the x and y intercepts)
on Monday in December, it was -8 degrees Celsius in Harbin China and -2 degrees Celsius and Beijing China on Tuesday and Beijing it was 5 degrees colder than it was the day before what was the new temperature?
The required temperature in Beijing China is -7°C on Tuesday.
As mentioned in the numeral,
On Monday in December
The temperature in Harbin China is -8°C,
Now,
The Temperature in Beijing china is -2°C
According to the condition, the temperature on the next day in Beijing is 5° degrees colder than it was yesterday since the temperature is becoming colder implying that the temperature is getting decreased by -5°C.
The temperature on Tuesday is given as,
T = -2°C - 5°C [subtracting -5 because the temperature is decreased]
T = - 7°C
Thus, the required temperature in Beijing China is -7°C on Tuesday.
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What is the following difference?
2ab(√/192ab²)-5[√/81a¹b³
O-3ab √3ab²
O 18ab² (2/3a)-45a2b² (2√3b)
0-7ab(2√3ab²)
O
8ab(√3ab²-15ab² (2√3ab)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
what are expressions ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
given
Rewrite the above expression as:
[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]
Evaluate the cube roots
[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]
Evaluate the differences
-7ab(2√3ab²)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
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Select the best answer for the question.
10. Which one of the following pairs of numbers contains like fractions?
O A.% and 60/70
O B. 12 and 32
O C. 54 and 45
O D. 4 and 12/16
The four approved methods of document destruction are
Answer:
1area
2 water
3 food
4 house
Answer:
shredding, incineration, pulping, and pulverization.
Step-by-step explanation:
Shredding: This involves cutting paper into small pieces using a shredding machine. The shreds are usually too small to be reconstructed, making it an effective method for destroying sensitive documents.
Incineration: This involves burning paper to ash using high heat. Incineration is a fast and efficient way to destroy large volumes of documents, but it is not always practical or environmentally friendly.
Pulping: This involves breaking down paper using water and chemicals to create a slurry that can be recycled or disposed of. This method is effective for destroying large volumes of paper, but it is not suitable for destroying documents with sensitive information.
Pulverization: This involves grinding paper into a fine powder using a pulverization machine. The powder is then disposed of or recycled. This method is effective for destroying documents with sensitive information, but it is not practical for destroying large volumes of paper.
Select the correct answer
The domain of the given graph is (-∞ < x < ∞)
What is the domain of a function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
Given is a graph,
For f(x) = x, there is no restriction on x
Both the domain and range are the set of all real numbers.
Hence, The domain will be (-∞ < x < ∞)
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5 pizzas cost £35.00. How much do 3 pizzas cost?
Answer:£21.00
Step-by-step explanation:
One pizza: (£35/5) =£7
Three pizza's: (£7x3)=£21
In a recent year, 22.2% of all registered doctors were female. If there were 47,200 female registered doctors that year, what was the total number of registered doctors?
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Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
What is a percentage?A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.
Here,
"Female doctors make up 22.2% of all registered doctors," the inquiry states.
Consider the entire number of doctors who are registered as x; 22.2% of those doctors are women.
and 47,200 divided by 22.2% of x
=>22.2/100 * x = 47,200
in math
264414 doctors were registered that year, or
x = 58700* 100/22.2 x.
Therefore , the solution of the given problem of percentage comes out to be 264414 doctors were registered that year.
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d= c/n solve for n, I've been trying to solve this by multiplying by n but i want to solve for n so that's wrong thank you guys :D
Answer:
You started correctly....
Step-by-step explanation:
d = c/n Multiply both sides by 'n'
dn = c now divide both sides of the equation by 'd'
n = c/d Done.
A railroad crossing arm that is 20 feet long is stuck with an angle of elevation of 35". Find x and y in the illustration below.
Round to the nearest tenth as needed.
Note: The red line is NOT needed to solve this problem.
20 ft
35
yft
Select the correct response
Ox-32.9 feet; y=12.0 feet
x-11.5 feet, y-16.4 feet
x-12.0 feet, y-32.9 feet
x=16.4 feet, y=11.5 feet
< Previous
The angle of elevation of a 20-foot railroad crossing arm is fixed at 35 degrees. As necessary, round up to the next tenth. 20 ft, 35 ft, x -11.5 feet, y- 16.4 feet .
What is angle of elevation ?Between the horizontal line and the line of sight, an angle called the angle of elevation is created. The angle of elevation formula tan =QR/PR can be used to calculate the building's height (QR). Therefore, the building has 8 units of height. When it lies between the line of sight and the horizontal line, the angle of elevation is generated. The angle created, known as the angle of elevation, occurs when the line of sight is above the horizontal line. However, in the depression angle, the line of sight is downward and parallel to the ground.
When we multiply in algebra, we come before a variable with a number. In the same way, xy means to multiply variable x by variable y, while 7xy means to multiply variable x by variable y and then to multiply the entire expression by seven. Due to the complexity of how train-based questions are frequently presented, it is always advisable to read the question thoroughly before responding. After reading the question, try to use a formula in it; this may lead to a direct solution and save you time.
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Please help I was sick and missed out on class thank you.
Answer: slope=-5 and y-intercept=1
Step-by-step explanation:
The equation given is in slope-intercept form. Slope-intercept for is y=mx+b, where m is slope and b is y-intercept.
This gives m=-5 and b=1.
A pre-paid cell phone company charges $10.35 as a monthly access fee and $0.08 per minute of calling time.
Express the monthly cost C in terms of minutes of call time ?
What will the monthly cost be if you make 280 minutes of calls this month?
Answer: $32.75
Step-by-step explanation:
If each call costs $0.08 and you make 280 minutes worth of calls this month you'll have made $22.04 worth of phone calls plus the monthly access fee ($10.35) if you add both those fees you'll be left with a bill of $32.75.
I hope this answer helped you. :)
Answer:
$32.75
Step-by-step explanation:
10.35 + (0.08×280)
11-(-2)x4 step by step pls my hm is due tmr
Answer:
Step-by-step explanation:
11 -(-2) x 4
11 + 2 x 4
11 +8
= 19
Pls include step by step explaination
Answer:
X = 2/3
Step-by-step explanation:
there is some misinformation here but I’m just gonna assume these rectangles are proportional.
If the longer side for the first one is 3 and the longest side for the second is 2 meaning that the second side is multiplied by 2/3
So if we multiply 1 by 2/3, it will be 2/3 meaning x = 2/3
hope this helps :)
which is a solution to (x-2)(x+10)=13
Answer:
answers 3
Step-by-step explanation:
took more thinking than it should've tbh (3-2=1) (3+10=13) 1x13=13
Nathaniel is searching for a four-leaf clover in a field. He finds 2 four-leaf
clovers during the first 12 minutes of his search. If Nathaniel spends a total of
180 minutes searching in the field, predict the number of four leaf clovers
Nathaniel will find.
Answer:
30 clovers
Step-by-step explanation:
If Nathaniel find 2 four-leaf clovers in the first 12 minutes of his search, the rate at which he finds the four-leaf clovers is:
[tex]\implies \sf Rate=\dfrac{2\;clovers}{12\;minutes}=\dfrac{1}{6}\;clovers\;per\;minute[/tex]
To predict the number of four-leaf clovers Nathaniel will find in 180 minutes, multiply the found rate by 180 minutes:
[tex]\implies \sf \dfrac{1}{6} \times 180=30\;clovers[/tex]
Therefore, Nathaniel will find 30 clovers in 180 minutes based on the rate at which he found 2 clovers.
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=2/12×180
\: [/tex]
[tex] \sf \longmapsto \: Prediction \: of \: 4 \: leaf \: clovers=30clovers[/tex]
Y intercept and slope
Answer: A y-intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
Slope - A number that describes both direction and steepness of the line.
Step-by-step explanation: If a line intersects the y-axis at point 5 then its y-intercept will be c= 5. As we denote y-intercept with c.
The slope is denoted by m.
Pls help me out here
All of the equations that are true include the following:
B. 56 + 70 = 14(4 + 5).
C. 28 + 49 = 7(4 + 7).
What is the distributive property of multiplication?In Mathematics, the distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.
How to determine the true equation?In order to determine the true equation, we would apply the distributive property of multiplication and then check whether or not the right-hand side is equal to the left-hand side.
By applying the distributive property of multiplication to the given mathematical expression, we have the following:
32 + 96 = 8(4 + 14)
32 + 96 = 32 + 112 (False).
56 + 70 = 14(4 + 5).
56 + 70 = 56 + 70 (True).
28 + 49 = 7(4 + 7).
28 + 49 = 28 + 49 (True).
27 + 36 = 3(9 + 13)
27 + 36 = 27 + 39 (False).
25 + 35 = 5(5 + 6)
25 + 35 = 25 + 30 (False).
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PLEASE HELP
Consider the two circles shown
To show that circle P is similar to circle Q, circle P is translated t units to the right. The image is then dilated about it’s center by a scale factor of s.
What are the values of t and s
Answer:
t is 13
scale factor is 7/4
What do you say back to someone who said: “ Nobody understands how it is to be everyone’s go to and have no one to care for you. “?
Answer: just be positive
Step-by-step explanation:
A women went to Shopping.First she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining. Now she has 10$ left. How much money did she spent?
The amount of money that was spent is $120.
How to illustrate the fraction?A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split.
In this case, the women went to Shopping and first she spent 4/5th of all money she had in her purse, and then she lost 2/3 of what was remaining.
The fraction of money left will be:
= 1 - 4/5 - (2/3 × 1/5)
= 1 - 4/5 - 2/15
= 1/15
Since she had $10 left the original amount will be:
= $10 ÷ 1/15
= $10 × 15
= $150
The amount spent will be:
= 4/5 × $150
= $120
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There are 9 players on a baseball team there are 6 teams in the league how many baseball players are in the league
Answer:
54
Step-by-step explanation:
Multiply 9 (players per team) and 6 (teams in the league) to find the total players in the league.
9 times 6 = 54