Factorise the following.​

Answer:

Regression to the mean fallacy

Step-by-step explanation:

It assumes that something has returned to normal because of corrective actions taken while it was abnormal. This fails to account for natural fluctuations. It is frequently a special kind of the post hoc fallacy.

6(a+12)

6a+72

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hope it helps

Answer:

Period=pi amplitud=1

Step-by-step explanation:

Answer:

theyre vertical angles and x is 16

Step-by-step explanation:

7x+16=128

7x=128-16

7x=112

x=112/7

x=16

hope i helped! mark as brainliest pls <3

Answer:

Vertical x = 16

Step-by-step explanation:

(7x + 16) = 128

7x = 128 - 16     -------    7x = 112

x = 112 ÷ 7

x = 16

Answer:

=25+2squared

Step-by-step explanation:

simple like terms

36-11=25

-5squared+7squared=2squared

=25+2squared

Answer:

49

Step-by-step explanation:

[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]

[P.E.D.M.A.S rule] (First exponents)

= 36 - 25 + 49 - 11. (Then addition)

= 36 + 49 - 25 - 11

= 85 - 36. (At last subtraction)

= 49 (Ans)

Answer:

135

Step-by-step explanation:

360-90=270

270/2=135

The answer will be option B. The net pay for the jacob will be equal to $6,188.

The amount paid by any company to the employees without any deductions like taxes or charges is called as the gross pay.

It is given that:-

Gross pay for the year was $8000

The federal tax rate he’ll need to pay is 10%.

Jacob will need to pay 5% and the FICA rate is 7.65%

So the total deductions from the gross pay will be calculated as:-

Deductions = 8000 X 10% +8000 x 5% +8000 x 7.5%

Deductions = 800+400+612=$1812

The net pay will be = 8000-1812 =$ 6188

Hence the net pay for the jacob will be equal to $6,188.

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The triangles shown in figure are congruent by the triangle congruence postulate by ''SAS congruency'' theorem.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

These triangles are congruent.

Now, In both triangle shown in figure have;

⇒ One side is common. (Diagonal)

⇒ Two sides are equal.    (Given)

⇒ One pair of angle in both triangle are equal.

Hence, We get;

⇒ By SAS congruent theorem both triangles shown in figure are congruent.

Learn more about the triangle visit;

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i think maybe your supposed to find an answer choice that is basically equal to the equation given already

Answer:

2) 1 3/4 = 4/4 + 3/4

Step-by-step explanation:

hope it helps

Answer:

M = 1, C = 4

Step-by-step explanation:

Just take note that all linear equation have the form Y = Mx + C.

Here you can read directly from the equation given.

Answer:

Step-by-step explanation:

MKN and MCN are supplementary angles.

Supplementary angles sum to 180°:

Answer:

The dimensions of the box are;

2 feet, by 2 feet, by 4 feet

Step-by-step explanation:

The given parameters are;

The volume of the closed box = 16 ft³

The material with which the top is made = The material with which the bottom is made

The cost of the material with which the top and bottom is made = 10 cents/(ft.²)

The cost of the material with which the side is made = 5 cents/(ft.²)

Let 'x', 'y', and 'z' represent the length, width, and height of the material, we have;

x·y·z = 16...(1)

The total cost of the box = 2×10×x×y + 2×5×x×z + 2×5×y×z

∴ The total cost of the box = 20·x·y + 10·x·z + 10y·z...(2)

From equation (1)

z = 16/(x·y)

Therefore, we have;

20·x·y + 10·x·z + 10y·z. = 20·x·y + 10·x·16/(x·y) + 10y·16/(x·y)

20·x·y + 160/(y) + 160/(x)

Differentiating, we get;

f'(x) = 20·y - 160/x²

f'(y) = 20·x - 160/y²

20·y - 160/x² = 0

y = 8/x²

20·x - 160/y² = 0

x = 8/y²

∴ x = 8/(8/x²)² = x⁴/8

8 = x⁴/x = x³

x = ∛8 = 2

The length, x = 2 feet

y = 8/x² = 8/2² = 2

The width, y = 2 feet

z = 16/(x·y) = 16/(2 × 2) = 4

The height of the box, z = 4 feet

Therefore, the dimensions of the box are 2 feet, by 2 feet, by 4 feet.

Answer:

8t^2-2t+13 is the answer i believe

Answer:

20

Step-by-step explanation:

[tex]50*0.40=20[/tex]

Answer:

20 times at first base

Step-by-step explanation:

Answer:

13: 40

Step-by-step explanation:

as 650 ml is given

so 2l = 2000 ml

ratio = 650 / 2000

13/40

13:40

Answer:

Take the angle above 128° as x.

x = 180 - 128 (linear pair)

x = 52°

a = ?

a = 180 - ( 52 + 73 ) ( the angles in a triangle add up to 180° )

a = 180 - 125

a = 55°

Volume of a sphere:

V = 4/3 π r ³

Differentiate V with respect to time t :

dV/dt = 4π r ² dr/dt

Surface area of a sphere:

A = 4π r ²

Differentiate A with respect to t :

dA/dt = 8π r dr/dt

You're given that the volume is increasing at a constant rate, dV/dt = 10 cm³/s, so

10 cm³/s = 4π r ² dr/dt

Solve for dr/dt (the rate of change of the sphere's radius):

dr/dt = 5/(2π r ²) cm³/s

Substitute this into the equation for dA/dt :

dA/dt = 8π r (5/(2π r ²) cm³/s)

dA/dt = 20/r cm³/s

At the moment the radius is r = 5 cm, the surface area is increasing at a rate of

dA/dt = 20/(5 cm) cm³/s = 4 cm²/s

When the surface area is increasing at a rate of dA/dt = 2 cm²/s, the radius r is such that

2 cm²/s = 20/r cm³/s

which happens when the radius is

r = 20/2 (cm³/s) / (cm²/s) = 10 cm

Answer:

c

Step-by-step explanation:

3x3=9

6x3=18

10x3=30

12x3=36

Answer:

A

Step-by-step explanation:

I did the math and i have no doubt

Answer: hi

Step-by-step explanation:

Answer:

2 cans are cokes.

Step-by-step explanation:

16/1 (total cans) * 1/8 (the amount that are coke) = 16/18 = 2

9514 1404 393

Answer:

  minimum z: 3050

Step-by-step explanation:

The attached graph shows the feasible region as a white space. The dashed lines at its edges are part of the solution set. The vertex closest to the origin is the one that minimizes z: (x, y) = (59, 32).

The minimum value of z is ...

  30·59 +40·32 = 3050

Step-by-step explanation:

Radius = 4 ft

Side of the square = 8 ft

Area of circle = πr² ≈ 3 × 4² = 48 ft²

Square area = a² = 8² = 64 ft²

area of composite shape = Square area - Area if circle = 64 - 48 = 16 ft²

Answer:

Yes, when dividing a whole number by a unit fraction, multiplying the whole number by the unit fraction's denominator always works! a divided by (1/b) = a times (b/1) = (a/1) times (b/1) = ab/1 = ab. Have a blessed, wonderful day! Comment on Ian Pulizzotto's post “Yes, when dividing a whole number by a unit fracti...”

Answer:

Uhh, I guess 24? I don't understand this question

Question: Which of the following are perfect powers?

Answer:

The answers on Edge are 27, 81, and 100. These are perfect powers.

Answer: D

Step-by-step explanation:

First, you have to multiply 2 by 7, because m=7. Then you have to multiply7 by -1 because n=-1. So on the top, you will get 14- -7. Now on the bottom, its just 7 + -1, which is 6. When there is a minus sign and a negative sign next to each other, for example 14- -7, you have to add. Next, you had 14 and 7 to get 21. Finally, you have to divide 21/6 and you get 3.5, which as a fraction is 7/2.

hope this helps :)