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Q.3 Write in expanded form:-
(a) 485.........

Answer:

2.6+3.1+5.4 =21.1

if you have 20

subtract 21.1-20

then you have 1.1

since the difference is 1.1 then we say

21.1>20

Answer:

Not a function

Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.

(sin²(x) - 1)/cos(x) = -1

-cos²(x)/cos(x) = -1

-cos²(x) = -cos(x)

cos²(x) - cos(x) = 0

cos(x) (cos(x) - 1) = 0

Then it follows that cos(x) = 0 or cos(x) = 1. But if cos(x) = 0, then the original expression on the left side of the equation would be undefined. Then C is the only valid solution.

Answer:

Maggie is 13 years old.

Step-by-step explanation:

The explanation is attached.

Answer:

4x2 + 5 +

Step-by-step explanation:

please mark me brainliest please

Answer:

The second answer choice is correct.

Step-by-step explanation:

4x + 5 + 13/x+5 (This is correct on edge.)

Answer:

(m − 7) + 15

Step-by-step explanation:

Answer:

x < 7

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

5x+7<42

Step 2: Subtract 7 from both sides.

5x+7−7<42−7

5x<35

Step 3: Divide both sides by 5.

x<7

For the graph, draw an open circle at 7 and an arrow pointing left.

Hope this helps! :D

Step-by-step explanation:

5x<42-7

5x<35

5x/5<35/5

x<7

Answer:

Total Number of times Spun = 1200

Key sentence: "Pr(Red) is same as Pr(Yellow).

Pr(Green)= 0.2

0.2 = x/1200

x= 0.2 x 1200

x = 240.

It landed on green 240 times

Pr(Brown) =0.54

0.54 = y/1200

y= 1200 x 0.54

y= 648.

Now

To get the Number of times it landed on Red and Yellow

You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).

1200 – (648 + 240)

= 312.

312/2 = 156.

So It landed on Red and Yellow 156 times each.

Step-by-step explanation:

Red ----- 156times

Green -----240times

Brown ----- 648times

Yellow -----156times

Answer:

10%

Step-by-step explanation:

495-450=45

45x100/450=10

Answer:

Profit made by reselling = 495 - 450 = ₹45

So, percentage =

[tex] \frac{45}{450} \times 100 = 10\%[/tex]

So, gain percentage is 10%

Answer:

(9 × 10⁴) (1.6 × 10³) / (2 × 10⁵) ( 3 × 10⁴) (1.2 × 10⁴)

Step-by-step explanation:

t coefficient = 1

+ 8t coefficient = 8

-t coefficient =( -1)

The path between each building is an illustration of Pythagoras theorem.

See attachment for a copy of the given image.

The sidewalk between library and humanities

This is represented with (a).

The value of (a) will be calculated using Pythagoras theorem.

So, we have:

[tex]a^2 = 15^2 + 15^2[/tex]

[tex]a^2 = 450[/tex]

Take square roots

[tex]a = 21.21[/tex]

Sidewalk between chemistry and library

This is represented with (d).

First calculate the value of (b) and (c)

[tex]c + 15 = 30[/tex]

So:

[tex]c = 15[/tex]

Also:

[tex]b + 15 = 40[/tex]

So:

[tex]b = 25[/tex]

The value of (d) will be calculated using Pythagoras theorem.

[tex]d^2 = b^2 + c^2[/tex]

[tex]d^2 = 25^2 + 15^2[/tex]

[tex]d^2 = 850[/tex]

Take square roots

[tex]d = 29.15[/tex]

The sidewalk between chemistry and humanities

This is represented with (e).

The value of (e) will be calculated using Pythagoras theorem.

[tex]e^2 = d^2 + a^2[/tex]

[tex]e^2 = 850 + 450[/tex]

[tex]e^2 = 1300[/tex]

Take square roots

[tex]e = 36.06[/tex]

Learn more about Pythagoras theorem at:

https://brainly.com/question/343682

Answer:

below

Step-by-step explanation:

1 corn equals 700-800 the yellow tiny thing.

so, lets just assume it has 700,

therefore, 700 - 6 = 694

694 + 1 = 695.

or 700 + 1 = 701.

or perhaps

800 - 6 = 794

794 + 1 = 795

or 800 + 1 = 801

but then again it depends on how much the yellow tiny thing is on the corn. bc, it could be 705, 807, or even 900, who knows.

Step-by-step explanation:

[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]

Answer:

what is statistics ???

explain !!!

Step-by-step explanation:

Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest

   Difference in time of both the clocks after 1 minute will be the sum of gain in time of one clock and delay in time of the second clock in 1 minute.

First clock will be 30 minutes ahead of the second clock in 20 hours.

     It's given in the question,

Since, 1 second = [tex]\frac{1}{60}[/tex] minutes

Therefore, 30 seconds = [tex]\frac{30}{60}[/tex] minutes

                                      = 0.5 minutes

That means first clocks gains 0.5 minutes in every hour.

Therefore, difference in both the clocks in every hour = 1 + 0.5

                                                                                           = 1.5 minutes

Difference of 30 minutes will be in the duration = [tex]\frac{30}{1.5}[/tex] hours

                                                                                = 20 hours

              First clock will be 30 minutes ahead of the second clock in 20 hours.

Learn more,

https://brainly.com/question/11528375

Answer: 6

Step-by-step explanation:

3 (x-1) = x + 9

3x - 3 = X + 9

3x - x = 9 + 3

2x = 12

x = 12/2

x = 6

The correct answer will be "n = 6". A complete solution is provided below.

Let,

The number be "n".

According to the question, the expression will be:

→  [tex]3(n-1)=9+n[/tex]

→     [tex]3n-3=9+n[/tex]

By adding "3" both sides, we get

→  [tex]3n-3+3=9+n+3[/tex]

→              [tex]3n=12+n[/tex]

By subtracting "n" from both sides, we get

→        [tex]3n-n=12+n-n[/tex]

→               [tex]2n=12[/tex]

→                 [tex]n=\frac{12}{2}[/tex]

→                 [tex]n = 6[/tex]

Thus the above is the appropriate answer.

Learn more:

https://brainly.com/question/88431

Answer:

y=1

Step-by-step explanation:

the missing parts of the table

Answer:

The number of cubic feet of water needed to fill the tank is [tex]216 \mathrm{ft}^{3}$[/tex]

The number of cubic yards of water needed to fill the tank is [tex]8 \mathrm{yd}^{3}[/tex]

Step-by-step explanation:

Given

A tank is in the shape of a cube with edge lengths of 6 feet.

Step 1 of 2

The volume of a cube with edge length [tex]$e$[/tex] is given by:

[tex]V=e^{3}[/tex]

Given that [tex]$e=6 \mathrm{ft}$[/tex], the number of cubic feet of water needed to fill the tank is:

[tex]V=6^{3}[/tex]

[tex]V=216 \mathrm{ft}^{3}[/tex]

Step 2 of 2

The number of cubic yards of water needed to fill the tank is

[tex]V=216 \mathrm{ft}^{3} \times \frac{(1 \mathrm{yd})^{3}}{(3 \mathrm{ft})^{3}}[/tex]

[tex]=8 \mathrm{yd}^{3}[/tex]

Learn more about volume, refer :

https://brainly.com/question/898827

Step-by-step explanation:

We are going to use the following properties of logarithms to solve this problem:

[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]

and

[tex]\log{ab} = \log{a} + \log{b}[/tex]

So we can rewrite the given equation as

[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]

Also,

[tex]\log{16} + \log{x} = \log{(16x)}[/tex]

So we can write

[tex]\log{2x^2} = \log{(16x)}[/tex]

or eliminating the log symbols, we get

[tex]2x^2 = 16x[/tex]

The solutions for the equation above are

[tex]x = 8\:\text{and}\: 0[/tex]

Step-by-step explanation:

the domain is the interval of the x (input) values.

in other words, is g(x) invalid for certain x ?

it does not look like it. it looks like g(x) is valid for every possible value of x from -infinite to +infinite.

the range is the interval of possible y (functional) values.

and that is clearly valid for every y between -1 and +infinity.

Step-by-step explanation:

-2m-39=0

-2m=0+39

-m= 39/2

m= -19.5

Answer:

[tex]7m - 4 - 9m - 35 = 0 \\ 7m - 9m = 35 + 4 \\ - 2m = 39 \\ 2m = - 39 \\ m = \frac{( - 39)}{2} \\ \boxed{m = - 19.5}[/tex]

Answer:

X= 30

y= 10

Step-by-step explanation:

(2x+90)=5x ( Opposite angles)

2x+90=5x

5x-2x= 90

3x=90

x=90/3

x= 30°

5x =5(30)=150

2x+90=2(30)+90=60+90=150

3y+150=180

3y=180-150

3y=30

y=30/3

y=10

I hope I helped you^_^

Answer:

Step-by-step explanation:

[tex]\begin{array}{l}\text{We\ have\ } \alpha +\beta =180\ \text{and} \ \beta =\alpha +52\text{\ then}\\\\\alpha +\alpha +52=180\\\\\Longrightarrow 2\alpha =180-52\\\\\Longrightarrow \alpha =\frac{128}{2} =64\\\\\therefore \beta =64+52=116\\\\\therefore \boxed{\text{The\ larger\ angle\ is\ 116\ degrees}}\end{array}[/tex]