A statistics professor asked students in a class their ages. On the basis of this information, the professor states that the average age of all the students in the university is 24 years. This is an example of

Answer:

12 banana cost=Rs.24

now

a)3dozen bananas=24/12×36=Rs.72

b)cost of 6bananas =24/12×6=Rs.12

c)cost of 1 banana =24/12×1=Rs.2

Answer:

[tex](x+12)(x+18)[/tex]

Step-by-step explanation:

[tex] {x}^{2} +30x+216[/tex]

[tex](x+12)(x+18)[/tex]

x²+30x+216

on factorizing we get

(x+12)(x+18)

Therefore, x= -12 or -18

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)

Answer:

73 degrees

Step-by-step explanation:

The line on the two sides of the triangle indicates that the triangles is isosceles. This means that the base angles are congruent.

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

Answer:

The equation is:

Y=2x-1

Answer:

:D

Step-by-step explanation:

19.35 = 7062.75 mm²

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.

Answer:

[tex]12.25[/tex]

Step-by-step explanation:

Area of square is

[tex] {s}^{2} [/tex]

where s is the side length.

3.5 is s so the answer is

[tex]3.5 {}^{2} = 12.25[/tex]

Answer:

Area = 12.25 square inches

Step-by-step explanation:

[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]

Hi there!

[tex]\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}[/tex]

[tex]f(x) = x^2 - \frac{2}{x}[/tex]

Recall the power rule:

[tex]\frac{dy}{dx} x^n = nx^{n-1}[/tex]

Rewrite the function for ease of differentiation:

[tex]f(x) =x^2 - 2x^{-1}[/tex]

Use the power rule:

[tex]f'(x) = 2x + 2x^{-2}[/tex]

Take the derivative once more:

[tex]f''(x) = 2 - 4x^{-3}[/tex]

Rewrite:

[tex]f''(x) = 2 - \frac{4}{x^{3}}[/tex]

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

Answer:

What are the statements?

Step-by-step explanation:

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

Answer:

A

Step-by-step explanation:

Answer:

Values of y in order: 0, 2, 4, 6

Step-by-step explanation:

Hi there!

In the table, the first value of x is -2. To find the value of y for this row of the table, we can use the given equation [tex]y=2x+4[/tex].

[tex]y=2x+4[/tex]

Plug in -2 as the value of x

[tex]y=2(-2)+4\\y=-4+4\\y=0[/tex]

Therefore, y is 0 when x is -2. (In the table, in the row where x is -2, y would be 0.)

We repeat this process for the rest of the values in the table.

When x=-1:

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

When x=0:

[tex]y=2(0)+4\\y=0+4\\y=4[/tex]

When x=1:

[tex]y=2(1)+4\\y=2+4\\y=6[/tex]

I hope this helps!

Answer

5

All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.

So 4^2 + 3^2 = c^2

25 = c^ 2

5 = c

Hope that helps!

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

Answer:

14

Step-by-step explanation:

put -2 where x is

f(x)=-x^2-9x

f(-2)= -(-2)^2 -9(-2)

f(-2)= -4 + 18

f(-2)= 14

Answer:

Step-by-step explanation:

you can divide 11/30 and get 0.37

0.37%/ 100*11 =

Multiply:

0.37*11 =

add the 100 to the product you multiplied and divide them together:

4.07/100=

your quotient:

0.0407

round by 2 decimals:

0.04

your final answer is :

0.04

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

Answer:

Down to the right.

Like down hill

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in the equation y = ax, a would be the slope

if the slope is negative, then the line goes from down to the right

I did an example on desmos to show you

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

Its A Your Welcome :)

Answer:

A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius of base=8/2=4 ft

l²=4²+9²=16+81=97

l=√97 ft

Answer:

Step-by-step explanation:

This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number