Answer:
Step-by-step explanation:
I am going to assume that you are doing this on your calculator using the stat button as opposed to having to find it by hand which is so extremely long and drawn out, you'd be dead by the time we found the equation...
The equation of the line of best fit is
y = 1.383x - 1.526
I would explain to you how to do that, but it's a very involved process on your calculator. Find out how to do it and it's the easiest thing in the world!!!
The required equation of the line is y = 0.667x + 2.334
From the table given equation of the line is determined.
x = 4 7 10 12 13
y = 5 7 12 14 18
A line is a curve showing the shortest distance between 2 points.
Standard equation of line, y =mx + c
The slope of equation m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and c is y intercept.
m = 7-5/7-4
m = 2/3
Now put m in the standard equation
y = 2x/3 + c - - - - -(1)
to find the value of c we will put a point (7, 7) in the equation.
7 = 7*2/3 + c
c = 7 - 14/3
c = (21-14)/3
c = 7/3
Put c in equation 1
y = 2x/3 + 7/3
y = 0.667 x +2.334
Thus, The required equation of the line is y = 0.667 x +2.334
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Can you help with number 9,10,12
ASAP HELP!!!!!!!!!!!!!!!!!!!!!!!!!
Haley fills a balloon with water until it becomes a sphere with a diameter of 5 centimeters. Approximately, how much water does the balloon contain? Use 3.14 for .
A. 26.17 cubic centimeters
B. 65.41 cubic centimeters
C. 523.33 cubic centimeters
D. 104.67 cubic centimeters
Answer:
523.33 cm³
Step-by-step explanation:
Volume of sphere is given by the formula :
V = (4/3)×pi×r³
= (4/3)×3.14×125
= 523.33 cm³
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angle
of 39° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does
the outfielder throw the ball?
Answer:
183.0 ft
Step-by-step explanation:
after allowing 20% discount an article is sold for rs.672 levying 12% VAT, find its market price
The market price is Rs. 750 which was obtained by creating a mathematical relationship from the given parameters.
PERCENTAGE DISCOUNT = 20%
VAT LEVIED= 12%
PRICE SOLD = 672
Let the MARKET PRICE = m
Hence,
market price * (1 - discount) * (1 + VAT) = price sold
m * (1 - 20%) * (1 + 12%) = 672
m * (1 - 0.2) * (1 + 0.12) = 672
m * 0.8 * 1.12 = 672
0.896m = 672
m = 672 / 0.896
m = Rs. 750
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The Market Price of the product is RS. 750.
The Market Price is calculated by dividing the components associated to Discount, which is less than 1, and the Value Added Tax, which more than 1, to the Resulting Price.
[tex]c_{M} = \frac{c_{R}}{\left(1-\frac{r_{D}}{100} \right)\cdot \left(1+\frac{r_{T}}{100} \right)}[/tex] (1)
Where:
[tex]c_{M}[/tex] - Market price, in monetary units.
[tex]c_{R}[/tex] - Resulting price, in monetary units.
[tex]r_{D}[/tex] - Discount rate, in percentage.
[tex]r_{T}[/tex] - Tax rate, in percentage.
If we know that [tex]c_{R} = 672[/tex], [tex]r_{D} = 20[/tex] and [tex]r_{T} = 12[/tex], then the market price is:
[tex]c_{M} = \frac{672}{\left(1-\frac{20}{100} \right)\cdot \left(1+\frac{12}{100} \right)}[/tex]
[tex]c_{M} = 750[/tex]
The market price of the product is RS. 750.
What type of number is 37 + 1?
Choose all answers that apply:
Whole number
Integer
Rational
Irrational
help
Answer:
Irrational
Step-by-step explanation:
The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.
Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.
The sine of angle θ is 0.3.
What is cos(θ)? Explain how you know.
Answer:
cos(θ) = -0.95
Step-by-step explanation:
Remember the relation:
sin(θ)^2 + cos(θ)^2 = 1
So if we have:
sin(θ) = 0.3
we can replace that in the above equation to get:
0.3^2 + cos(θ)^2 = 1
now we can solve this for cos(θ)
cos(θ)^2 = 1 - 0.3^2 = 0.91
cos(θ) = ±√0.91
cos(θ) = ± 0.95
Now, yo can see that there are two solutions, which one is the correct one?
Well, you can see that the endpoint of the segment that defines θ is on the second quadrant.
cos(x) is negative if the endpoint of the segment that defines the angle is on the second or third quadrant.
Then we can conclude that in this case, the correct solution is the negative one.
cos(θ) = -0.95
PROBLEM
9a
The breadth of a rectangle is 4 units less than its length. If the perimeter of the rectangle is
20 units, write a pair of linear equations to model the above situation, assuming the length to be l units
and the breadth to be b units.
Equation 1 :
Equation 2 :
Here, we are to find the length and the , breadth of the rectangle
The length of the rectangle = 7 units and Breadth of the rectangle = 3 units
Let
length = l units
Breadth = b units
Perimeter of the rectangle = 20 units
length is the distance measured along the longest dimension of an object
width is the wideness of an object
perimeter refers to the total measurements of an objects
The breadth of a rectangle is 4 units less than its length
If,
Length = l
Then,
b = l - 4
Perimeter of a rectangle = 2(length + breadth)
20 = 2{l + (l - 4)
20 = 2(l + l - 4)
20 = 2(2l - 4)
20 = 4l - 8
20 + 8 = 4l
28 = 4l
l = 28/4
l = 7
b = l - 4
b = 7 - 4
b = 3 units
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Can anyone help me with this it’s question 2 help please
Answer: 2x³ + 2x² + 36
Working:
= (2x + 6) × (x² - 2x + 6)
= 2x³ - 4x² + 12x + 6x² - 12x + 36
= 2x³ -4x² + 6x² +12x -12x +36
= 2x³ + 2x² + 36
Answered by Gauthmath must click thanks and mark brainliest
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
Answer:
The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .
Step-by-step explanation:
plzzz make brainlist and follow
Answer:
(0,2) and (6,0)
Step-by-step explanation:
y-intercept, x=0
0+3y=6
y=2
x-intercept, y=0
x=6
Find the value of each variable. Lines that appear tangent are tangent, and the dot is the center. (Answer in the form a=? b=? c=? d=?)
Answer:
a = 60°/2 = 30°
b = 84/2 = 42°
c = (100+60)/2 = 80°
d = 360-100-60-84 = 116°
Answered by GAUTHMATH
Simplify. (x2+2x-4)+(2x-5x-3)
Answer:
Step by Step Solution
More Icon
STEP
1
:
3
Simplify ——
x2
Equation at the end of step
1
:
3
((((2•(x2))-5x)-——)+2x)-3
x2
STEP
2
:
Equation at the end of step
2
:
3
(((2x2 - 5x) - ——) + 2x) - 3
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
2x2 - 5x (2x2 - 5x) • x2
2x2 - 5x = ———————— = ———————————————
1 x2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2x2 - 5x = x • (2x - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3
————————————————————— = —————————————
x2 x2
Equation at the end of step
4
:
(2x4 - 5x3 - 3)
(——————————————— + 2x) - 3
x2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2x 2x • x2
2x = —— = ———————
1 x2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
determinar el decimal correspondiente
A)71% B)172% C)6%
[tex]71\% = \frac{70}{100} = \frac{7}{10} = 0.7 \\ 172\% = \frac{172}{100} = 1.72 \\ 6\% = \frac{6}{100} = 0.06[/tex]
And these questions
Answer:
17) 250 km²
18) never
19) sometimes
20) 288 in³
Step-by-step explanation:
17)
this polygon can be seen as the combination of two shapes : a 16×13 rectangle on top, and a right-angled triangle at the bottom.
this triangle has the side lengths
15 km
(16 - 10) = 6 km
(27 - 13) = 14 km
the total area is the area of the rectangle plus the area of the triangle.
the area of the rectangle (length×width)
Ar = 16×13 = 208 km²
the area of the triangle (baseline×height/2)
since it is a right-angled triangle, we use one side of the 90 degree angle as baseline and the other as height
At = 6×14/2 = 3×14 = 42 km²
so the total area of the polygon
Ap = Ar + At = 208 + 42 = 250 km²
18) the first quadrant is the area between the right (positive) side of the x axis and the upper (positive) part of the y axis. all points here have always and only positive x and y values. never any negative ones.
19) when a point is on the x-axis, well, left of point 0 on the x -axis are only negative values of x. and right of point 0 of the x-axis are only positive values of x. so, for some of these points the x value is positive, and for some it is negative. therefore "sometimes".
20) the volume of a box is length×width×height.
V = 8×3×12 = 24×12 = 288 in³
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
BRAINLIEST graphing question
Answer:
Step-by-step explanation:
Alex can cut a cord into 7 pieces in 36 seconds. How long will it take him to cut the cord into 12 pieces?
Answer:
Step-by-step explanation:
I think you mean 35 seconds because if it was 36 then the answer would be too long so assuming it is 35 seconds the answer is 1 minute or 60 seconds
Hello, have anyone can help me to solve this question?
Answer:
24 days LCM
prime factor :
4- 2, 2
8-2,2,2
12- 2,2,3
largest factors- 2,2,2,3
2*2*2*3 = 24
Step-by-step explanation:
Calculate the average speed in km/h for a plane that travels 1300km in 4 hours??
Answer:
The plane is going 325 kilometers per hour :)
Step-by-step explanation:
To find the average speed per hour, divide 1300 by 4.
1300/4 = 325
Help with step by step solution please
Answer:
5/2
Step-by-step explanation:
The square root of 5 divided by the negative square root of 5 equals -1. 7/2 - 1 = 5/2.
Write the equation of the function
Maritza is comparing cell phones plans and notices that verizon offers a plan that is $60 for 10GB of data and $12 for each extra GB of data ore month. Create an expression to model this situation
Answer:
60 + 12 * g, with g representing the number of extra gigabytes
Step-by-step explanation:
First, we know that Maritza has to pay $60 for 10GB of data, no matter what. Therefore, the base cost of the cell phone plan is 60 dollars, and all extra costs must be added to that. Currently, our expression is therefore 60 + something = cost of cell phone plan.
After that, the plan costs $12 for each gigabyte of data past 10 GB. This means that, for example, if Maritza uses 11 gigabytes, the plan will cost 60 (the base amount) + 12 for each gigabyte past 10 GB. There are 11-10=1 extra gigabytes, so the cost is 60 + 12 * 1 = 72 dollars. For each extra gigabyte, 12 dollars are added, so we can represent this as
60 + 12 * g, with g representing the number of extra gigabytes
State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔFED
~ ____
Answer:
FED ~ MLF
Step-by-step explanation:
∠L = ∠E
∠F = ∠F
Since both angles are congruent, that would mean all angles are congruent.
If all angles are congruent, then the triangles are always similar no matter the length of the sides.
The complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
What are the similar triangles?Similar triangles are the triangles that have the same shape, but their sizes may vary.
What is AA or angle angle similarity rule?If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other.
What are vertically opposite angles?When two lines intersect each other, then the opposite angles are formed due to intersection are called vertical angles or vertically opposite angles.
According to the given question.
We have two triangles LMF and EDF
In triangles LMF and EFD we have
∠MLF = ∠DEF (given)
Also, ∠MFL = ∠DFE (vertically opposite angles)
Since, we know that " if any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other".
Therefore, by AA similarity criteria triangle FED is similar to FLM.
Hence, the complete statement is [tex]\triangle FED\sim \triangle FLM[/tex].
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evaluate : 8/-5+(4/-3)+1/3
Explain full steps
with easy method
Answer:
-39/15
Step-by-step explanation:
=-8/5-4/3+1/3
Taking LCM of 5,3 and 3.
=3(-8)-5(4)+5(1)/15
=-24-20+5/15
=-44+5/15
=-39/15
Note:if you need to ask any question please let me know.
how many 5 cents can u get from $1.25?
Answer:
25
Step-by-step explanation:
5 cents = 0.05
1.25 / 0.05 = 25
let me know if i'm wrong
Answer:
25
Step-by-step explanation:
$1.25=125cents
125/5 = 25
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)
Given: PSTK is a rectangle
Area of PSTK=562m^2
m∠TOK=75
Find:PS, PK
(HELP! ILL GIVE BRAINLIEST)
Answer:
See picture below
Step-by-step explanation:
Let PK be the length and PS be the width of the rectangle.
Then LW =562
Assuming O is the center of the rectangle then ∠KST = ∠STO = 75/2
Hence tan ( 75/2 ) = PS/PK
Now solve the system of the equations
PS*PK=562
tan ( 75/2 ) = PS/ PK
Arrange in descending order 14/13,25/26,8/3
summer school is over, and I'm feeling self-destructive. Take all of my points and have a good night. 1/3
Answer:
Thanks for the points... dude.....
pls answer quickly before 3:30