Which is a common characteristic of both science and pseudoscience? experimentation the collection of information beliefs data

Answer:

[tex]y= (x -4)^2 - 1[/tex]

[tex]Vertex = (4,-1)[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2 + 6x+13[/tex]

Required

7 units left and 5 units down

First, we have: [7 units left]

The rule is:

[tex](x,y) \to (x-7,y)[/tex]

So, we have:

[tex]f(x) = (x - 7)^2 + 6(x -7)+13[/tex]

Next, we have: [5 units down]

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]f'(x) = (x - 7)^2 + 6(x -7)+13 - 5[/tex]

[tex]f'(x) = (x - 7)^2 + 6(x -7)+8[/tex]

Rewrite as:

[tex]y = (x - 7)^2 + 6(x -7)+8[/tex]

Expand

[tex]y = x^2 - 14x + 49 + 6x -42+8[/tex]

Collect like terms

[tex]y = x^2 - 14x + 6x -42+8+ 49[/tex]

[tex]y = x^2 -8x +15[/tex]

To write in vertex form, we have

Subtract 15 from both sides

[tex]y -15= x^2 -8x[/tex]

Divide (-8) by 2; Add the square to both sides

[tex]y -15+ (-8/2)^2= x^2 -8x + (-8/2)^2[/tex]

[tex]y -15+ 16= x^2 -8x + 16[/tex]

[tex]y +1= x^2 -8x + 16[/tex]

Expand

[tex]y +1= x^2 -4x - 4x + 16[/tex]

Factorize

[tex]y +1= x(x -4) -4(x - 4)[/tex]

Factor out x - 4

[tex]y +1= (x -4)(x - 4)[/tex]

Rewrite as:

[tex]y +1= (x -4)^2[/tex]

Make y the subject

[tex]y= (x -4)^2 - 1[/tex]

The vertex is:

[tex]Vertex = (4,-1)[/tex]

Answer:

A: FG = ½GC

Step-by-step explanation:

Since AD, BC and CD are medians concurrent at G, it means G is the centroid.

Now, when median passes through the centroid, the centroid divides the median in the ratio of 2:1.

Also,that the median touches the side of the triangle at their midpoints.

Thus,by inspection, we can say that;

GD = ⅓AD

GC/FG = 2/1

Thus, GC = 2FG and FG = ½GC

BG = ⅔BE

Tbus,looking at the options given and what we have gotten in proof, we can say only FG = ½GC is correct.

Answer:

-8

Step-by-step explanation:

y2 - y1 / x2 - x1

-15 - 1 / 1 - (-1)

= -16 / 2

= -8

Answer:

uncountable

Step-by-step explanation:

----------------uncountable-----------------

Answer:

1. <

2. <

Step-by-step explanation:

Have a good day :)

Answer: factors of 10 are 1, 2, 5, and 10.

Step-by-step explanation: You can also look at this the other way around: if you can multiply two whole numbers to create a third number, those two numbers are factors of the third. 2 x 5 = 10, so 2 and 5 are factors of 10.

Answer:

1,2,5,10

Step-by-step explanation:

1 x 10 = 10

2 x 5 = 10

10 x 1 = 10

Answer: 46

Step-by-step explanation:

4(9)+10

36+10

46

Answer:

46

Step-by-step explanation:

4y + 10

4(9) + 10

36 + 10

46

The equation y=2x+3 matches the total height of a 3-inch tree after it grows 2 inches per month.

We have given, y=2x+3

We have to determine whether the equation matches y=2x+3.

The slope-intercept form of the line is y=mx+c.

Where m is the slope

C=y-intercept

Therefore option c is correct.

because the height is three inches and the tree after it grows 2 inches per month.

The slope of a line is a measure of its steepness.

Here the slope is 2 and the y-intercept is 3.

Therefore option c is correct.

To learn more about the slope intercept-form visit:

https://brainly.com/question/25826868

#SPJ2

Answer:

Please read explanations

Step-by-step explanation:

By direct calculations, we know that the nearest perfect square to 29 is 25

The next is 36;

Hence, since 29 is between 25 and 36; it is only proper that the square root of 29 is also between the square roots of both numbers

So, we can conclude that the square root is between 5 and 6

For actual values by calculating, we have this as 5.38 which to the nearest number is 5.4

so, we have the dot at the next 4 small lines after the number 5

Answer:

Step-by-step explanation:

Answer:

40

4

Step-by-step explanation:

a.) because the sides are the same their angles must be too

let x be the angle

100+x+x=180

x=40

b.) because the angles are all the same their sides must be too

4

Answer:

x=15, y=8

15 hats and 8 scarves

Step-by-step explanation:

hats=x

scarves=y

5x+3y=99

3x+5y=85

Answer:

C

33

Step-by-step explanation:

Answer:

Each triangle has angles and all of those angles add up to 180 degrees total. since both of those angles at the bottom are equal then their angles would each be 70.

Answer:

70

Step-by-step explanation:

180°-40°=140°

140°/2

=70

Answer:

There are 5 shifts per day

Step-by-step explanation:

7 1/2 is equal to 7.5 and 1 1/12 is equal to 1.5

7.5/1.5= 5

Answer:

19/18

Step-by-step explanation:

ii put it inna calculator

Answer: 26

Step-by-step explanation:

Answer:

5 bottles

Step-by-step explanation:

a total of $0.80 was paid

6 $0.05 bottles were returned= $0.05×6= $0.30

remainder= $0.80-$0.30= $0.50

amount of $0.10 bottles returned= $0.50÷$0.10= 5

Answer:

a = 32.28°

Step-by-step explanation:

In the given right triangle,

Opposite side = 12

Adjacent side = 19

By applying tangent rule in the given triangle,

tan(a°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(a°) = [tex]\frac{12}{19}[/tex]

a = [tex]\text{tan}^{-1}(\frac{12}{19})[/tex]

a = 32.28°

Answer:

a. 7

b. 6

c. 5.2

d. 7

Step-by-step explanation:

a: The mode is the number that occurs the most. 7 occurs the most in the set.

B. I rearrange d the numbers in numerical order and then found the middle (where both sides surrounding the number are the same amount of numbers. This was 5 and 7 so to find the mean I added 5+7 and divided it by two to get the in between, 6!

c. I added all of the values and then divided them by the amount of total values in the data set.

so I did 1 + 2 +3+4+5+7+7+7+8+8 = 52

52/10 = 5.2

d. range is the greatest value by the least value. So I did 8 - 1 to get 7!

Answer:

let the number be x

5(x+27)>6(x+26)

5x+135>6x+156

5x-6x>135-156

-x>-21

×<21

(21,+00)

Answer:

I believe it is 48%

Step-by-step explanation:

The total amount of people who liked to read printed books is 67.

Then the total amount of people who liked either print or electronic books is 140.

If I am remembering correctly, you would divide 67 by 140 to get the percentage of people who like to read printed books.

67/140 = 48% (rounded)

Answer:

Solution given:

length of cube[a]=6ft

volume of cube =a³=6³=216ft³

again

For cylinder

d=4ft

r=2ft

h=6ft

volume of cylinder=πr²h=π×2²×6=75.4ft³

Now

remaining volume=216-75.4=140.6ft³

is a required answer.

Answer:

Volume of Cylinder X = 712 cm³

Step-by-step explanation:

Given:

Volume of Cylinder Y = 89 cm³

Radius of cylinder Y = 2 cm

Radius of cylinder X = 4 cm

Find:

Volume of Cylinder X

Computation:

We know that, Cylinder X and Cylinder Y are similar

So,

Volume of Cylinder X / Volume of Cylinder Y = [Radius of cylinder X / Radius of cylinder Y]³

Volume of Cylinder X / 89 = [4/2]³

Volume of Cylinder X / 89 = [2]³

Volume of Cylinder X / 89 = 8

Volume of Cylinder X = 8 x 89

Volume of Cylinder X = 712 cm³

Answer:46%

Step-by-step explanation:

Answer:

23/50 or 46%

Step-by-step explanation:

I just added red and purple out of the total(red+purple/total=11+12/50=23/50)

then I multiplied the fraction by 2 to get out of 100 for the percentage(23/50*2=46/100=46%)

Answer:

1

Step-by-step explanation:

The denominator is the bottom number, and represents how many parts are possible—in other words, how many parts go into a whole. The numerator is the top number, and represents how many parts you have.

[tex]\frac{Numerator}{Denominator}[/tex]

Answer:

The numerator is 1.

Step-by-step explanation:

The numerator is the number above the fraction bar; the denominator is below.

[tex]\frac{denominator}{numerator} -\frac{1}{2}[/tex]

Answer:

y= -7/8 - 4/5

Step-by-step explanation:

y=mx+b

y= -7/8 + y intercept (b)

so y= -7/8 - 4/5