Which are the roots of the quadratic function f(q) = q2 – 125? Select two options.

q = 5
q = -5
q = 3
q = -3
q = 25

Answer:

The diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

Step-by-step explanation:

Diameter of Cell A = [tex]5.8 \times 10^{-9} mm[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

Now we are supposed to find How much longer is the diameter of Cell B than Cell A?

So,Diameter of Cell A =[tex]5.8 \times 10^{-9} = 5.8 \times 10^{-7} \times 10^{-2}=5.8 \times 10^{-7} \times \frac{1}{10^2} = 0.058 \times 10^{-7}[/tex]

Diameter of Cell B = [tex]4.2 \times 10^{-7} mm[/tex]

So, Difference in diameters = [tex]4.2 \times 10^{-7} - (0.058 \times 10^{-7})=4.14 \times 10^{-7}[/tex]

So, Option C is true

Hence the diameter of Cell B is [tex]4.14 \times 10^{-7} mm[/tex] longer than Cell A

1/7 as a decimal is 0.1428571429

But if you round that to the nearest 2 decimal place it is 0.14

I really hope this helps.

Answer: The cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Formula: Area of trapezium = [tex]\dfrac{1}{2}(a+b)h[/tex], where a and b are the parallel sides and h is the height.

From the given figure of trapezium, we have

a = 10 m

b = 16 m

h = 7.6 m

Then, area of trapezium floor = [tex]\dfrac{1}{2}(10+16)(7.6)=\dfrac{1}{2}(26)(7.6)=98.8\ m^2[/tex]

Also, 1 litre paint is required to paint and area of [tex]1.9\ m^2[/tex].

Then, the amount of paint required to paint [tex]98.8\ m^2[/tex] area = [tex](98.8\ m^2)\div(1.9\ m^2)[/tex]

[tex]= 52[/tex] litres

Since cost if 5 litres of paint = [tex]\pounds\ 16.99[/tex]

then cost of 1 liter paint = [tex]\pounds \dfrac{16.99}{ 5}=\pounds 3.398[/tex]

Then, cost of 52 litres of paint = [tex]52\times3.398=\pounds \ 176.696\approx\pounds\ 176.70[/tex]

Hence, the cost to buy all the paint he needs = [tex]\pounds \ 176.70\ .[/tex]

Step-by-step explanation:

Let's plug the values in.

(18 * 1³ - 10²)² / 10 + 3 * 2 = (18 - 100)² / 16 = 6724 / 16 = 420.25.

Answer:

58500,72000

Because 65% and 80% of 90000 results in these answers

Answer:

B) 102°

Step-by-step explanation:

Reflection is an example of transformation in which a given image is flipped over a reference line which changes the orientation of the figure, but not its length and shape. A rotational transformation is formed by two reflections.

In the given question, image ABCD is reflected over lines I, then m at an angle of 51° to each other. Since rotation is twice the acute angle with respect to the center of rotation, therefore ABCD rotates through an angle of 102°.

Answer:

2.

5 x 5 = 25

4 x 4 = 16

25 + 16 = 41

You need to square root but it is already included

Hope this helps

Step-by-step explanation:

Answer:

x = 5

Step-by-step explanation:

In a parallelogram, the diagonals bisect each other.

Therefore,

4x - 5 = 3x

4x  = 3x + 5

4x - 3x = 5

x = 5

Answer:

[tex] \boxed{4 \sqrt[8]{ {d}^{3} } } [/tex]

Step-by-step explanation:

[tex] = > 4 {d}^{ \frac{3}{8} } \\ \\ = > 4({d}^{3 \times \frac{1}{8} }) \\ \\ = > 4( {d}^{3} \times {d}^{ \frac{1}{8} } ) \\ \\ = > 4( {d}^{3} \times \sqrt[8]{d} ) \\ \\ = > 4 \sqrt[8]{ {d}^{3} } [/tex]

Answer:

t = 25

Step-by-step explanation:

t - 10 + t = 40

2t = 40+10

2t = 50

t = 50/2

t = 25

Hope this helps.

Answer:

Step-by-step explanation:

Answer: X60 degrees Y40 degrees

Step-by-step explanation: 180-120=60 the triangle is equal to 180-60=120 120-80=40

Answer:

A, D, C, B.

5/9, 3/5, 2/3, 3/4.

Step-by-step explanation:

Covert to decimals:

5/9 = 0.555...

3/4 = 0.75

2/3 = 0.666...

3/5 = 0.6

So it is  5/9, 3/5, 2/3, 3/4.

Answer:

A pentagon is reflected across the y-axis

the correct answer is. It is an exponential equation, that is starting at 5 and increasing by a factor of 2.

Answer: x = -9

Step-by-step explanation:

18/x = -2

18x = -2x

x = -18/2 = -9

Answer:6

Step-by-step explanation:

Answer:

Here is the answer mate.....

Step-by-step explanation:

2 root 2 minus root 2 is equal to 0.

If you have question why then follow these steps....

√2-2

√0

anything root o means 0..

so, the answer is zero...

Hope it helps ☺️

Answer:

3x^2y^2

Step-by-step explanation:

the gcf is 3x^2y^2 since it is the common factor in all of the terms

This question is incomplete

Complete Question

If a patient needs a 30-day supply of tablets and takes two tablets four times a day, how many tablets will the patient need for discharge?

Answer:

240 tablets

Step-by-step explanation:

From the question we are told the patient needs a 30 days supply of drugs.

This means the patient will be discharged after 30 days

We are told the patient takes 2 tablets , four times a day

This means

One day = 2 tablets × 4 = 8 tablets

Hence, if:

1 day = 8 tablets

30 days = unknown so we represent by Y

We cross multiply

1 × Y = 8tablets × 30days

Y = 240 tablets

Therefore, the patient would need 240 tablets for discharge.

Answer:

5/23

Step-by-step explanation:

if you turn "3 8/5" into a mixed number you would get 23/5 then you would flip the numbers to get 5/23

Hope this helps!!! :)

Answer:

60 minutes/1 hour

Step-by-step explanation:

45+ 15=60

Answer:

36

Step-by-step explanation:

m^2 -2mn + n^2

Let m = -2 and n=4

(-2)^2 -2(-2)(4) + 4^2

4 +16 +16

36

Answer:

Step-by-step explanation:

m =  -2   ; n =4

m² - 2mn + n² = (-2)² - 2*(-2)*4 + 4²

                       = 4 + 16 + 16

                       = 36

Hint: (-2)² = -2 * -2 = 4

Answer:

Central Angle OPQ = Arc OQ = 82°

5x - 3 = 82°

5x = 85°

x = 17 degrees

Step-by-step explanation:

Step-by-step explanation:

2x + 3y =  6             3x = 15                    5 - 3y = 9

x   - 3y  = 9               x = 15/3 = 5            y = 9 - 5/-3 = -4/3

3x        = 15

Answer:

[tex]b+g=120[/tex]

[tex]b+5b=120[/tex]

Step-by-step explanation:

let b be the number of boys went to the dance

let g be the number of girls went to the dance

Total number of students went to the dance are 120.

Which means the boys and girls collectively are 120 which forms the following equation.

[tex]b+g=120[/tex]

The condition has been given that the number of girls are 5 times more than the number of boys. It can be taken as that:

[tex]g=5b\\[/tex]

Insert it in the previous equation to get

[tex]b+5b=120[/tex]

Answer:

A) 144 FT B) 300

Step-by-step explanation:

{ Area= L x W

 Area= 12 x 12

 Area= 144 }

{ 6x2=12

12x25= $300

Answer:

Volume of the liquid left in the container will be 80 ml.

Step-by-step explanation:

Two containers A and B having equal volumes of the liquid has been shown in the figure attached.

Let the volume of the liquid in each container = x ml

120 ml of the liquid was poured in container B from container A.

Volume of liquid in container B = 4 × Volume of the liquid in container A

x + 120 = 4(x - 120)

x + 120 = 4x - 480

4x - x = 480 + 120

3x = 600

x = 200 ml

Volume of the liquid left in container A = 200 - 120

                                                                    = 80 ml

Therefore, volume of the liquid left in the container A will be 80 ml.

Answer:

  106 1/7

Step-by-step explanation:

The line ...

  ī = 106.142857143

tells you the mean of the dataset is 106 1/7.