Which function best fits the following points?
A. y= -12.84032 + 0.0225x
B. y = 65.0778 × 772.9605^x
C. y = -197.0571x^2 + 245.6243x + 6.0321
D. None of the above
Given:
The graph of a scatter plot.
To find:
The function that best fits the given points.
Solution:
From the given graph it is clear that the linear function is the best fit for the given points because the points lie on a straight line or near to it.
So, options B and C are incorrect because they represent exponential and quadratic function respectively.
Let as assume the two points on the graph are (0.80,-12.82) and (2,-12.79).
Using this two points, the equation of line is:
[tex]y-(-12.82)=\dfrac{-12.79-(-12.82)}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=\dfrac{-12.79+12.82}{2-0.80}(x-0.80)[/tex]
[tex]y+12.82=0.025(x-0.80)[/tex]
[tex]y+12.82=0.025x-0.02[/tex]
[tex]y=0.025x-0.02-12.82[/tex]
[tex]y=0.025x-12.84[/tex]
[tex]y=-12.84+0.025x[/tex]
It is the approximate function to the function that is in option A.
Therefore, the correct option is A.
please help me! asap!
Answer:
First option
Remove 2 tiles
I NEEDDD HELPPP ITSSSSSS URGENTTTTT!!!
Basically count/add up the total amount of degrees that are include in the angle <FHD.
-- (central angles)
So, 35 + 65 = 100 degrees
Aj needs to buy a new car.
His dream car costs 68,700
He gets paid 625 per minute
He has got 53,350
How long does he have to wait to get his car
Answer:
24.56 minutes
Step-by-step explanation:
68,700 - (625 * x) = 53,350
We subtract 53,350 from both sides
15,350 - (625 * x) = 0
625x = 15350
x = 15350/625
x = 24.56
He needs to wait 24.56 minutes to get his car.
The two cones below are similar. What is the value of x?
Cone 1
Height = 10
Radius = 3
Cone 2
Height = 3
Radius = x
A. 0.3
B. 0.9
C. 0.09
D. 0.18
Answer:
If they are similar, the ratio of 10/3 should be the same as the 3/x
then solve
10/3 = 3/x
cross multiply
10x=8
x = 9/10
so C. is the right answer
The missing value in the smaller cone is 0.9 units.
What is similarity?Similarity in math is a concept that relates to the shape and size of figures. Two figures are similar if they have the same shape, but not necessarily the same size.
Given that, two similar cones, we need to find the value of x in the smaller cone,
Since, the cones are similar, then according to the definition of similarity,
we know that the dimensions will be in equal proportion,
Let the dimensions of the big cone be H (height) and R (radius) and that of smaller cone be h (height) and r (radius)
So,
H / R = h / r
10 / 3 = 3 / x
x = 9/10
x = 0.9
Hence, the missing value in the smaller cone is 0.9 units.
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find the measure of the indicated angle to the nearest degree
Answer:
28°
Step-by-step explanation:
sin ? = 19/41
? = arcsin (19/41)
? = 28° (rounded to the nearest degree)
Answered by GAUTHMATH
Your brother tells you that he went to a baseball game and spent $19 on hot dogs and a soda. If hot dogs cost $4 and his one soda was $3, how many hot dogs did he eat? Write a two-step equation for this scenario then solve for the number of hot dogs.
Answer:
he ate 4 hot dogs
Step-by-step explanation:
$19-$3=$16
$16÷4=4
Complete the table for the given rule.
Rule: y is 2 more than 4 times 2
pls help
Answer:
[2,10,18]
y = 4x + 2
0,2
1,6
2,10
3,14
4,18
Step-by-step explanation:
Answer:
x=0 y=2
x=2 y= 10
x=4 y= 18
Step-by-step explanation:
Is means equals
y = 4x+2
Let x = 0
y = 4(0)+2 = 2
Let x = 2
y = 4(2)+2 = 8+2 = 10
Let x =4
y = 4(4)+2 = 16+2 = 18
Which of the following is equal to ….
Answer:
B option is your answer
Step-by-step explanation:
please mark as brainliest
Answer:
B. 4th root of 7
Step-by-step explanation:
denominator is the root. numerator is the exponent
What is the main purpose of closing entries for revenues and expenses into Profit and Loss Summary? a. To determine the profit for period. b. To transfer the journalised entries to relevant ledger account. c. To check the accuracy of journal entries. d. To provide information of business ability to repay for the debt.
Answer:
A
Step-by-step explanation:
Revenues and expenses are closed every year so that the profit or loss can be determined for the yearly period.
what's the answer for this?
Answer:
A
Step-by-step explanation:
Observe the coordinates of C, it's (5,2). Now observe C' which is (2, - 5). Hence the rule is (x, y) -> (y, - x)
I also need to show calculations for each side length plz help
Answer:
WO [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
OR [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
RM [tex]\sqrt{13}\ \ \ \frac{3}{2}[/tex]
MW [tex]\sqrt{13}\ \ \ - \frac{3}{2}[/tex]
Step-by-step explanation:
One has to find the slope, and the distance between the successive points on the plane. Use the slope and distance formula to achieve this.
Slope formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Distance formula:
[tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]
Remember, the general format for the coordinates of a point on a Cartesian coordinate plane is the following:
[tex](x,y)[/tex]
1. WO
Coordinates of point (W): (3, -5)
Coordinates of point (O): (6, -3)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{(-5)-(-3)}{(3)-(6)}=\frac{-5+3}{3-6}=\frac{-2}{-3}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{((-5)-(-3))^2+((3)-(6))^2}[/tex]
[tex]\sqrt{(-2)^2+(-3)^2}\\=\sqrt{4+9}\\=\sqrt{13}\\[/tex]
2. OR
Coordinates of point (O): (6, -3)
Coordinates of point (R): (4, 0)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-3)}{(4)-(6)}=\frac{3}{-2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((0)-(-3))^2+((4)-(6))^2}=\sqrt{(3)^2+(2)^2}=\sqrt{9+4}=\sqrt{13}[/tex]
3. RM
Coordinates of point (R): (4, 0)
Coordinates of point (M): (1, -2)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}\\=\frac{(0)-(-2)}{(4)-(1)}=\frac{2}{3}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\sqrt{((-2)-(0))^2+((1)-(4))^2}=\sqrt{(-2)^2+(-3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
4. MW
Coordinates of point (M): (1, -2)
Coordinates of point (W): (3, -5)
Find the slope:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]=\frac{(-5)-(-2)}{(3)-(1)}=\frac{-3}{2}=-\frac{3}{2}[/tex]
Find the distance:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]=\sqrt{((3)-(1))^2+((-5)-(-2))^2}=\sqrt{(2)^2+(3)^2}=\sqrt{4+9}=\sqrt{13}[/tex]
HELPPP
Which shapes have the greatest area?
(Select all that apply.)
Answer is 1st and 3rd shape
Whose area is 4 units
Answered by Gauthmath must click thanks and mark brainliest
the sum of the ages of a man and his wife is at least 104 years if the man is x years old and the wife is x - 4 years old find the possible values of x. please I need the answer fast I WILL GIVE THE BRAINLIEST ANSWER.
Answer:
x ≥ 54
Step-by-step explanation:
x+x-4 ≥ 104
2x ≥ 104 + 4
2x ≥ 108
x ≥ 54
A wholesaler purchased an electric item for Rs 2,700 and sold to retailer at
10% profit. The retailer sold it at 20% profit to a consumer. How much did the
consumer pay for it.
PLZ PLZ HELP.......
Step-by-step explanation:
10 % of 2700 = 270
so he had 2970 rupee
20% of 2970 = 594
so customer have to pay 2970 + 594 = 3564
state the following true or false
Answer:
c. false (it should always be neg.)
d. false
Step-by-step explanation:
Answer:
(c) True, (d) False
Step-by-step explanation:
Helpppppp pls brainly does not have any answers to radicals
Answer:
2√3
Step-by-step explanation:
√27 = √9 * √3 = 3 * √3 = 3√3
3√3 - √3 = 2√3
In right triangle ABC, the measure of A is 25° and AB = 1. What is the length of AC?
(1) 0.9063
(2) 0.4226
(3) 0.2500
(4) 0.2778
Does anyone know how to do question b
Answer: M³+ M³ = M⁹
Step-by-step explanation:
Answer:
m^6
Step-by-step explanation:
Simple rule of addition of indices, a^x + a^y = a^x+y, m^3+3 = m^6
I have two hours to get this done please help me I’ve been stuck on this problem
Answer:
The answers are all bolded below. If you can, please read the explanation so you can pass a test if asked.
Step-by-step explanation:
First, the quadratic equation we are starting with is -x^2 + 10x + 9.5
-------------------------------------------------------------------------------------------
For the first part, it's asking for how high it is when it starts, commonly, we use 0 as the start point so if we plug 0 into the quadratic equation, we have 9.5. The height is 9.5 feet at start.
-------------------------------------------------------------------------------------------
For the second part I'm assuming it's asking for either a minimum or a maximum and because the equation has a -x^2, that means the parabola has a maximum. You can tell by -x^2 being negative, if it was x^2 (positive) it would have a minimum.
The maximum is found using the vertex formula(because the vertex is the max or min), -b/2a, where a is -1, b is 10, and c is 9.5 found in the equation because the quadratic is in standard form ax^2 + bx + c. This gives a vertex of 5.
We plug 5 back in the equation to get (5, 34.5).
5 is the x-coordinate so it is 5 feet horizontally and 34.5 feet high
--------------------------------------------------------------------------------------------
For the last part it's asking for a root, or when the parabola touches the x axis/the ground.
-x^2 + 10x + 9.5
You would use the quadratic formula but I'm too lazy so I just put it into a calculator.
That gives roots of around x=−0.87367 and x=10.8737.
You can't have a negative root so you're left with x= 10.8737, rounding to the tenth decimal place, 10.9.
I think that's correct, could be wrong, if it is wrong just follow the steps and it should be fine.
What is the area of this figure?
Answer:
Step-by-step explanation:
if you connect the 2 pointy parts of this shape at the top, what you have is a square. That means that the cut out part is a half circle. To find the area of the shaded portion, subtract the area of the half circle from the area of the square. Let's start with the square, cuz that's the super easy one.
A = s*s so
A = 64 in squared.
Now for the half circle. Let's just do this: let's find the area of the whole circle and then cut it in half, how about?
If the length of one of the sides is 8, then half that length is 4, right? Since the circle is touching the sides of the square, the diameter of the circle is the same as the measure of the side of the square. That means that the radius is 4. The area for the circle is
[tex]A=\pi r^2[/tex] and filling in:
[tex]A=(3.14)(4^2)[/tex] so
A = 50.24 in squared. Divide that in half and the area of half the circle is 25.12 in squared.
Subtract 25.12 from 64 to get 38.88 in squared
PLEASE HELP!!! Find the value of x.
A. 11
B. 5
C. 25
D. 31
Answer:
C
Step-by-step explanation:
Consider trapezoid ABCD with
A is the midpoint of ED
C is the midpoint of BF
=> AC is the median of trapezoid EBFD
=>(EB+DF) / 2 = AC
=>(13+x) / 2 = 19
=> 13+x = 38
=> x= 25
The value of x is 5.
According to the Triangle Proportionality Theorem, if a line is parallel to one side of a triangle and intersects the other two sides, it divides those two sides proportionally. In mathematical terms, we can express this as:
(a/b) = c
Where the values of a = 13, b = 19
Now, we can substitute the given values into the proportionality equation:
(13/19) = c
Next, we can cross-multiply the equation:
c = 0.68
Then the value of x is calculated by adding 4.32 on it then we get the value of x as
=> x = 0.68 + 4.32
=> x = 5
Hence the correct option is (b).
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1.
Which of the quadratic functions has the widest graph?
O y = 1/3x2
O y = -5/4x2
Answer:
y = -5/4x^2
Step-by-step explanation:
I'm assuming the 2 are the exponents. Make sure to use ^ to type exponents.
Green = 1/3x^2
Blue = -5/4x^2
jack o connel had $51,072 he wanted to share the money equally between 96 employees how much mone did each employee receive?
Answer:
$532
Step-by-step explanation:
We do 51,072 / 96 which is 532.
Each employee received $532.
Lúc 6 giờ, một ô tô xuất phát từ A đến B với vận tốc trung bình 40km/h. Khi đến B,
người lái xe làm nhiệm vụ giao nhận hàng trong 30 phút rồi cho xe quay trở về A với vận
tốc trung bình 30km/h. Tính quãng đường AB, biết rằng ô tô về đến A lúc 10 giờ cùng
ngày.
Answer:
Đáp án:
60km
Step-by-step explanation:
30 phút
=
1
2
giờ
Ô tô đi từ A đến B rồi từ B về A mất số thời gian là:
10
−
6
−
1
2
=
3
,
5
giờ (không tính thời gian nhận hàng)
Gọi độ dài quãng đường AB là
x
(km)
Ta có:
Thời gian đi từ A đến B là
x
40
(quãng đường chia vận tốc)
Thời gian đi từ B đến A là
x
30
Ta có phương trình:
x
40
+
x
30
=
3
,
5
⇔
x
=
60
(km)
Vậy quãng đường AB là 60km.
HELP DUE IN 10 MINUTES
Answer:
Step-by-step explanation:
For Part A, use the pythagorean theorem to find the height, which ca be found by finding one length of the leg. Using the imaginary bisector, you can determine one of the legs is 5 cm, and the hypotenuse is 13 cm
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse. Plug in the values to solve for one leg, you get 25+b^2=169
Solve algebraically, b^2= 144, so b=12, which is the height.
Part B
Determine the surface area of each cardboard piece, and add together.
20 × 13 × 2 = 520
1/2 × 10 × 12 × 2 = 120
20 × 10 = 200
So approximately 840 cm of cardboard was used
PLS HELP ASAP PLS PLSPLS
What is the explicit formula for this sequence?
6, 2, -2, -6, ...
Answer:
B
Step-by-step explanation:
this is just common sense. if you would have tried you could have easily answered this yourself.
the sequence starts with 6. that is a1.
so, the formula simply has to add "something" to 6.
therefore, A and D are out.
and then we see immediately that the sequence is built by subtracting 4 (or adding -4) for every step.
so, we need to add multiples of -4.
therefore, only B is correct (C adds multiples of +4).
Instructions: Find the volume of each figure. Round your answers to the nearest tenth, if
necessary. please help !
Answer:
Step-by-step explanation:
Volume of a cuboid = length × breadth × height
lenth = 7
Breadth = 10
Height = 9
7 x 10 x 9
= 630 yd^2
Answered by G a u t h m a t h
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Solve the range for the data set. (4,11,25,1,17,34,11,30)
a. 32
b. 33
c. 34
d. 35
Answer: b. 33
Step-by-step explanation:
The range is when you subtract the lowest value in the number set by the highest number in the number set. For this particular example, it would be 34-1= 33.
Hope this helps you!
A pyramid has a square base of length 4.8 m and a total surface area of 85 m². Find the volume of the pyramid.
Answer:
164.33 m^3
Step-by-step explanation:
Mathematically, we have the formula for the volume as;
V = A * h/3
V = 5.8 * 85/3
V = 164.33 m^3