Answer:
From scatter plot companies can predict future sales, and what will happen next. To help with this predictions most companies draw a line through the scattered plot called best-fit line. This line should be close to most of the points on the scattered line. Approximately half the point on the top of the line and half on the bottom.In this case the company will ignore the points tat far away from the line.
Scatter plots are useful to compare two variables to see how they relate to one another (if there is any relationship at all). One example could be comparing the temperature outside versus the sales of ice cream. The general trend is that the warmer it gets, the more sales you'll have. So there's an upward trend. We can also say there's a positive correlation as both variables go up together (or go down together).
Contrast this with negative correlation where one variable goes up and the other goes down (eg: hours spent watching tv versus exam score).
Of course, the ice cream example could be too simple and often overused, so it might be better to use something more specific to the company in question. If you picked a company dealing with health/medicine, then you could look at something like height versus weight and see if there's a correlation going on.
ITS REALLY IMPORTANT
can somebody please explain how to find the surface and lateral area please and thank you!!
Answer:
The lateral area of the figure = 480 m²
The surface area = 720 m²
Step-by-step explanation:
By definition, we have;
The lateral area is the area of the vertically facing sides of or the area of the triangular faces of a pyramid
The surface area is the area of the entire surface = Lateral area + The other surface areas of the object
For a pyramid, the surface area = Lateral area + Area of base
The figure in the question is a pentagon based pyramid with five triangles on the sides
The lateral area of the figure = 5 × area of the 5 triangles = 5 × Base × Height
The lateral area of the figure = 5 × 12 × 8 = 480 m²
The lateral area of the figure = 480 m²
The surface area = Area of the base + Lateral surface area
Area of the regular pentagon base = 1/2 × Perimeter of the pentagon × Apothem
Perimeter of the pentagon = 5 × 12 = 60 m
Apothem = Perpendicular distance from the pentagon's side to the center = 8.3 m
∴ Area of the regular pentagon base = 1/2 × 60 × 8 = 240 m²
∴ The surface area = 240 +480 =720 m²
The surface area = 720 m²
simplify (y+x) 2-2xy
Answer:
y² + x²
Step-by-step explanation:
Given
(y + x)² - 2xy ← expand (y + x)² using FOIL
= y² + 2xy + x² - 2xy ← collect like terms
= y² + x²
Ans2x + 2y -2xy
Step-by-step explanation:
First You need to distribute 2 to both x and y. 2x + 2y-2xy
Can you help me find all the seventh roots of unity? what do they look like graphed?
Answer:
There are seven seventh roots of unity, e2πki7 , all on the unit circle, r=1 above.
The first one is at θ=2π7=360∘7=5137 ∘ , and there are others at 4π7,6π7,8π7,10π7,12π7 and of course at 0 radians, i.e. unity itself.
How to find?
There are 4 fourth roots of unity and they are 1, i,−1 and−i
Each of the roots of unity can be found by changing the value of k k k in the expression e 2 k π i / n e^{2k\pi i/n} e2kπi/n. By Euler's formula, e 2 π i = cos ( 2 π ) + i sin ( 2 π ) = 1.
We have two fractions, \dfrac{1}{6} 6 1 start fraction, 1, divided by, 6, end fraction and \dfrac{3}{8} 8 3 start fraction, 3, divided by, 8, end fraction, and we want to rewrite them so that they have a common denominator (and whole number numerators). What numbers could we use for the denominator? Choose 2 answers: Choose 2 answers: (Choice A) A 121212 (Choice B) B 242424 (Choice C) C 161616 (Choice D) D 4848
Answer:
B) 24
D) 48
Step-by-step explanation:
Given:
Two fractions
[tex]\dfrac{1}6 \\and\\\dfrac{3}8[/tex]
To find:
Number that can be chosen as Common denominator such that numerator is also a whole number ?
Solution:
Common denominator for two fractions [tex]\frac{p}{q}[/tex] and [tex]\frac{r}{s}[/tex] is chosen as LCM or multiple of LCM of (q, s).
OR
Common denominator for two fractions is chosen as the Least Common Multiple or multiple of LCM of denominators of the two fractions.
The denominators of the given fractions are 6 and 8.
Let us factorize and try to find the LCM of 6 and 8.
[tex]6 = \underline2 \times 3\\8 = \underline2 \times 2\times 2[/tex]
Common part of the denominators (as underlined) will be taken only once.
So, [tex]LCM = 2 \times 3 \times 2 \times 2 =24[/tex]
Multiples of LCM, 24 = 48
So, the correct answers are:
B) 24 and
D) 48
I order 700 notebooks by accident. I only need 3⁄7 of my order. How many notebooks do I return?
I have to return 400 notebooks.
Here, we have,
given that,
I order 700 notebooks by accident. I only need 3⁄7 of my order.
To determine how many notebooks you need to return, you can calculate 4/7 of your order, which represents the portion you don't need.
Let's calculate it step by step:
Calculate the number of notebooks you don't need:
4/7 * 700 = 400
we have,
I only need 3⁄7 of my order.
so, i need = 3/7 * 700
= 300
Subtract the number of notebooks you need from the total order to find the number of notebooks you should return:
700 - 300 = 400
Therefore, you should return 400 notebooks.
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2 Mayra is a caterer and charges $75 per plate plus a
set up fee of $30. The cost per person is represented
by C = 30+75p. If she is catering a wedding for 150
people, how much does the bride and groom spend
on food?
Answer:
$11,280
Step-by-step explanation:
Plug in 150 as p into the equation to solve for the cost, C:
C = 30 + 75p
C = 30 + 75(150)
C = 30 + 11,250
C = 11,280
= $11,280
need help will give 5 stars.
Answer:
t=0.64
Step-by-step explanation:
h = -16t^2 +4t +4
We want h =0 since it is hitting the ground
0 = -16t^2 +4t +4
Using the quadratic formula
a = -16 b = 4 c=4
-b ± sqrt( b^2 -4ac)
----------------------------
2a
-4 ± sqrt( 4^2 -4(-16)4)
----------------------------
2(-16)
-4 ± sqrt( 16+ 256)
----------------------------
-32
-4 ± sqrt( 272)
----------------------------
-32
-4 ± sqrt( 16*17)
----------------------------
-32
-4 ± sqrt( 16) sqrt(17)
----------------------------
-32
-4 ± 4 sqrt(17)
----------------------------
-32
Divide by -4
1 ± sqrt(17)
----------------------------
8
To the nearest hundredth
t=-0.39
t=0.64
Since time cannot be negative
t=0.64
Answer:
0.64
Step-by-step explanation:
0 = -16t^2 + 4t + 4
-4(4t^2 - t -1) = 0
t = [-(-1) +/- sqrt (1 - 4*4*-1)] / 8)
t = 0.64, -0.39
answer is 0.64
The side of an Equileteral triangle is 12cm. What is its Area?
Answer:
A = 62.35 cm²
Step-by-step explanation:
Use the area formula A = [tex]\frac{\sqrt{3}a^2}{4}[/tex], where a is the side length.
Plug in the values:
A = [tex]\frac{\sqrt{3}(12^2)}{4}[/tex]
A = [tex]\frac{\sqrt{3}(144)}{4}[/tex]
A = 62.35 cm²
What is the scale factor of abc to def
Answer:
[tex]\large \boxed{\mathrm{B. \ 6}}[/tex]
Step-by-step explanation:
Length AB is similar to length DE.
Scale factor = DE/AB
Scale factor = 12/2
Scale factor = 6
The required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF which is the correct option (B).
What is a scale image?Scale image is defined as a ratio that represents the relationship between the shape and size of a figure and the corresponding dimensions of the actual figure or object.
Length AB is similar to length DE.
Here triangle ΔABC is dilated to form triangle ΔDEF
Length of the side DE = 12
Length of the side AB = 2
As we know scale factor is the ratio of sides in the original image and the image after dilation.
Scale factor = DE/AB
Substitute the values of the length of the side DE and AB,
Scale factor = 12/2
Apply the division operation, and we get
Scale factor = 6
Therefore, the required Scale factor would be 6 to transform triangle ΔABC to triangle ΔDEF.
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Evaluate the expression 5^-2
Hi there! :)
Answer:
[tex]\huge\boxed{\frac{1}{25}}[/tex]
When evaluating an expression with a negative exponent, the reciprocal will need to be taken. Therefore:
[tex]5^{-2} = \frac{1}{5^{2} } = \frac{1}{25}[/tex]
Suppose the radius of a circle is 2. What is its circumference?
Answer:
12.57
Step-by-step explanation:
The formula to solve the circumference of a circle is:
2 x PI x R (radius)
=> 2 x PI x 2
=> 4 PI or 12.57
2 hundredths as a decimal
Answer:
0.02
Step-by-step explanation:
Answer:
.02
Step-by-step explanation:
2x + 3y = 40
5x + 2y = 30
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
A) Let's solve for x. [tex]2x + 3y = 40[/tex]
Step 1: Add -3y to both sides.
[tex]2x + 3y + -3y = 40 + -3y[/tex]
[tex]2x = -3y + 40[/tex]
Step 2: Divide both sides by 2.
[tex]\frac{2x}{2} = \frac{-3y + 40}{2}[/tex]
[tex]x = \frac{-3}{2} y + 20[/tex]
Answer : [tex]\frac{-3}{2} y + 20[/tex]
~~~~~~~~~~~~~~~~~
B) Let's solve for x. [tex]5x + 2y = 30[/tex]
Step 1: Add -2y to both sides.
[tex]5x + 2y + -2y = 30 + -2y[/tex]
[tex]5x = -2y + 30[/tex]
Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} = \frac{-2y + 30}{5}[/tex]
[tex]x = \frac{-2}{5} y + 6[/tex]
Answer : [tex]\frac{-2}{5} y + 6[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
I need help with this question. PLZZ HELP!!!
Answer: The solution of these inequalities are similar because they begin at two, however they are different because in the first inequality two cannot be an answer hence the open circle ⭕️, but the second inequality can have two as a solution hence the closed circle.
Step-by-step explanation:
The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the height of the triangular base of the pyramid? Five-halves StartRoot 2 EndRootunits Five-halves StartRoot 3 EndRootunits 5 StartRoot 2 EndRootunits 5 StartRoot 3 EndRootunits
Answer:
The height of the triangular base of the pyramid is s√3/2 units
Step-by-step explanation:
Here in this question, what we are concerned with is to calculate the height of the equilateral-triangle base of the oblique pyramid.
From the question, we are told that the equilateral triangle has a length of a units.
Let’s have a recall on some of the properties of equilateral triangles;
a. All sides are of equal lengths. Meaning side s is the length of all the sides in this case.
b. All angles are equal, meaning they are 60 degree each.
c. Dropping a perpendicular line from the top vertex to the base length will split the equilateral triangle into two right-angled triangles of angles 60 and 30 each.
So to find the height of this triangular base, we can use any of the two right angled triangles.
Kindly recall that the properties of each would be angles 30, 60 and side length s
so to calculate the height h, we can use trigonometric identities
Mathematically, the trigonometric identity we can use is the sine( side length s represents the hypotenuse, while the height h represents the opposite facing the angle 60 degrees)
Thus; we have
Sine of an angle = length of the opposite/length of hypotenuse
sin 60 = h/s
h = s sin 60
In surd form,
sin 60 = √3/2
Thus;
h = s * √3/2 = s√3/2 units
Answer:
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB
Step-by-step explanation:
Find the coordinates for the function,
1.) f(x)=-2(2.5)
2.) f(x)= 4(1.5)
Answer: 1: Slope 0 Y- Intercept -5
2: Slope 0 Y- Intercept 6
Step-by-step explanation:
Evaluate the following expression if a=-9, b=-7,c=9 and d=3
2cd + 3ab =
Answer:
The answer is 243.Step-by-step explanation:
To evaluate the expression substitute the values of a , b , c and d into the above expression
a = - 9
b = - 7
c = 9
d = 3
So we have
2cd + 3ab = 2(9)(3) + 3(-9)(-7)
= 2(27) + 3( 63)
= 54 + 189
We have the final answer as
243Hope this helps you
Find the first four terms of the sequence given a1=18 and an+1=2+an2. A. 18, 10, 6, 5 B. 18, 10, 6, 9 C. 18, 14, 6, 9 D. 18, 10, 6, 4
The first four terms of the given sequence are 18, 10, 6, and 4 respectively.
What is a sequence?A sequence is an ordered list object which related and connected by a common value.
There are many sequences. They are Arithmetic sequence, Geometric sequence, and so on.
Calculation:It is given that,
The first term of the sequence is a1 = 18
And the terms of the sequence are related by,
a(n + 1) = (2 + an)/2
For n = 1;
a(1 + 1) = (2 + a1)/2
⇒ a2 = (2 + 18)/2 = 10
For n = 2;
a(2 + 1) = (2 + a2)/2
⇒ a3 = (2 + 10)/2 = 6
For n = 3;
a(3 + 1) = (2 + a3)/2
⇒ a4 = (2 + 6)/2 = 4
Thus, the first four terms of the given sequence are a1 = 18, a2 = 10, a3 = 6, and a4 = 4.
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this is urgent...please help!
the brown family is ordering pizza. they are trying to decide whether to order a large pizza or a monster pizza. a monster pizza (m) has six fewer slices than twice the number of slices on a large pizza (l). the difference between the number of slices on a monster pizza and the number of slices on a large pizza is five slices. which system of equations below can be used to determine the number of slices on a large pizza and a monster pizza?
a) m - 2 l = 5
m - l = 6
b) 2m - l = 6
m - l = 5
c) 2m - l = -6
m - l = 5
d) m - 2 l = - 6
m - l = 5
Answer:
d) m - 2 l = - 6; m - l = 5
Step-by-step explanation:
Twice the number of slices on a large pizza is 2l. 6 fewer than that is 2l-6. This is the number on a monster pizza, so we have ...
m = 2l -6
Subtracting 2l from both sides gives the equation ...
m -2l = -6 . . . . . matches choice D
if 25% of a number is 75 find the number
Answer:
x = 300
Step-by-step explanation:
of means multiply and is means equals
25% * x = 75
Change to decimal form
.25x = 75
Divide each side by .25
.25x/.25 = 75/.25
x = 300
Answer:
300
Step-by-step explanation:
Assume the unknown value is 'Y'
75 = 25% x Y
75 = 25/100 x Y
Multiplying both sides by 100 and dividing both sides of the equation by 25 we will arrive at:
Y = 3 x 100/25
Y = 300%
Answer: 75 is 25 percent of 300
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hour is desired. Past studies suggest that a population standard deviation of hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Complete question:
One researcher wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of 0.28 hours is desired. Past studies suggest that a population standard deviation of 1.5 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with the stated accuracy.
Answer:
111 students
Step-by-step explanation:
Given the following :
Margin of Error (E) = 0.28
Population standard deviation (sd) = 1.5
Recall:
Margin of Error(E) = Z * (sd/√n)
Taking a confidence interval of 95%
The Z value at a 95% confidence interval is 1.96
Plugging our values, we have :
Margin of Error(E) = Z * (sd/√n)
0.28 = 1.96 * (1.5/√n)
0.28 = 2.94 / √n
√n × 0.28 = 2.94
√n = 2.94 / 0.28
√n = 10.5
Square both sides to obtain n
n = 10.5^2
n = 110.25
Find the radius of a circle that has an area of 6.76 cm². Use it for pi.
Answer:
radius = 1.47 cmStep-by-step explanation:
Area of a circle = πr²
where
r is the radius
From the question
Area = 6.76 cm²
To find the radius substitute the value of the area into the above formula and solve for the radius
That's
[tex]6.76 = \pi \: {r}^{2} [/tex]
Divide both sides by π
We have
[tex] {r}^{2} = \frac{6.76}{\pi} \\ r = \sqrt{ \frac{6.76}{\pi} } [/tex]
r = 1.46689291
We have the final answer as
radius = 1.47 cm
Hope this helps you
Quadrilateral ABCD has coordinates A (3, 1), B (4, 4), C (7, 5), D (6, 2). Quadrilateral ABCD is a (4 points)
Answer:
Quadrilateral ABCD is a SQUARE
Step-by-step explanation:
When we are given coordinates (x1, x2) and (y1 , y2) for a Quadrilateral, we solve for the sides using this formula.
√(x2 - x1)² + (y2 - y1)²
A (3, 1), B (4, 4), C (7, 5), D (6, 2)
Side AB = A (3, 1), B (4, 4)
√(x2 - x1)² + (y2 - y1)²
= √(4 - 3)² + (4 - 1)²
= √1² + 3²
= √1 + 9
= √10
Side BC = B (4, 4), C (7, 5)
√(x2 - x1)² + (y2 - y1)²
= √(7 - 4)² + (5 - 4)²
= √3² + 1²
= √9 + 1
= √10
Side CD = C (7, 5), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 7)² + (2 - 5)²
= √(-1) ² + (-3)²
= √1 + 9
= √10
Side AD = A (3, 1), D (6, 2)
√(x2 - x1)² + (y2 - y1)²
= √(6 - 3)² + (2 - 1)²
= √3² + 1²
= √9 + 1
= √10
From the above calculation,
Side AB = √10
Side BC = √10
Side CD = √10
Side AD = √10
Hence, AB = BC = CD = AD
When all the side of a Quadrilateral are the same or equal to each other, it means the Quadrilateral is a square.
Therefore, Quadrilateral ABCD is a SQUARE
Simplify the following expression -10x + 10x
Answer:
0
Step-by-step explanation:
the x after the 10 is literally just 1
so 10 x 1 =10
-10 + 10 = 0
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150 . i. Sketch Musah's movement [Mark 4] ii. How far west is Musah's final point from the centre?
Answer:
Musah's final point from the centre = 60.355 steps
Step-by-step explanation:
From the given information:
Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°
The sketch for this information can be seen in the attached file below.
How far west is Musah's final point from the centre?
In order to determine how far west is Musah's,
Let d be the distance of how far;
Then d = QR + RS cos θ
In the North West direction,
cos θ = cos 45°
d = 25 + 50( cos 45°)
d = 25 + 50( [tex]\dfrac{1}{\sqrt{2}}[/tex] )
d = 25 + 50( 0.7071)
d =25 + 35.355
d = 60.355 steps
Musah's final point from the centre = 60.355 steps
Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost.
Answer:
6n = 1.50
and
13n = 3.12
Step-by-step explanation:
Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.
For Al’s produce stand, let the price per corn sold be n
Thus;
6 * n = 1.50
6n = $1.50 •••••••(i)
For the second;
let the price per corn sold be n;
13 * n = $3.12
-> 13n = 3.12 •••••••••(ii)
y=-2x+4 missing value
Answer:
y=-2x+4
x | y
0 | 4
2 | 0
Step-by-step explanation:
How many of the positive integer factors of 15552 are perfect squares? (WILL MARK BRAINLIEST IF CORRECT)
Answer:
The positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184
Step-by-step explanation:
The positive integer factors of 15552 are;
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 64, 72, 81, 96, 108, 144, 162, 192, 216, 243, 288, 324, 432, 486, 576, 648, 864, 972, 1296, 1728, 1944, 2592, 3888, 5184, 7776, 15552
The perfect square integers are;
1 = 1 × 1
4 = 2 × 2
9 = 3 × 3
16 = 4 × 4
36 = 6 × 6
64 = 8 × 8
91 = 9 × 9
144 = 12 × 12
324 = 18 × 18
576 = 24 × 24
1296 = 36 × 36
5184 = 72 × 72
Therefore, the positive integer factors of 15552 that are perfect squares are;
1, 4, 9, 16, 36, 64, 91, 144, 324, 576, 1296, 5184.
if AC= 40 find the length of jk
Answer:
JK = 24
Step-by-step explanation:
Δ BKJ and Δ BCA are similar and ratios of corresponding sides are equal, that is
[tex]\frac{JK}{AC}[/tex] = [tex]\frac{BK}{BC}[/tex] , substitute values
[tex]\frac{JK}{40}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5JK = 120 ( divide both sides by 5 )
JK = 24
factor of x^3+x^2y+xy^2
Answer:
[tex] x(x {}^{2} + xy + y {}^{2})[/tex]
Step-by-step explanation:
[tex]x {}^{3} + x {}^{2}y + xy {}^{2} = x(x {}^{2} + xy + y {}^{2})[/tex]
Hope this helps ;) ❤❤❤
