Express 60g as a percentage of 3kg?

Answer:

f(2) = 0 and g(-2) = 0

Step-by-step explanation:

0.8 is the slope of the line M'N'.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.

So, the coordinates of M' are (0.82, 0.84) = (1.6, 3.2), and the coordinates of N' are (0.83, 0.85) = (2.4, 4).

Now, we can find the slope of line M'N' using the slope formula:

slope of M'N' = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) = (1.6, 3.2) and (x2, y2) = (2.4, 4).

slope of M'N' = (4 - 3.2) / (2.4 - 1.6)

the slope of M'N' = 0.8

Therefore, the slope of line M'N' is 0.8.

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( 3 × 5 ) + ( 2 × 4 ) =

15 + 8 = $ 23

Given:

The inequalities are:

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

To find:

The solution for the given inequalities and graph the solution.

Solution:

We have,

[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]

Solve the above inequalities separately.

[tex]-5x<-3[/tex]

Divide both sides by -5.

[tex]x>\dfrac{-3}{-5}[/tex]

[tex]x>\dfrac{3}{5}[/tex]             ...(i)

And,

[tex]2x<-8[/tex]

Divide both sides by 2.

[tex]x<\dfrac{-8}{2}[/tex]

[tex]x<-4[/tex]                       ...(ii)

From (i) and (ii). we get

[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]

The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].

The graph of the solution is shown below.

Answer:

Step-by-step explanation:

Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:

[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.

[tex]8.5=a(1)^2+b(1)+5[/tex] and

8.5 = a + b + 5 and

3.5 = a + b Hold that thought while we come up with the second equation for this system.

[tex]2.5=a(-1)^2+b(-1)+5[/tex] and

2.5 = a - b + 5 and

-2.5 = a - b  Now solve this system using the method of eliination:

  a  +  b  =  3.5

+ a  -  b  = -2.5

so

2a = 1 and a = 1/2 Now we can plug that in and solve for b:

a + b = 3.5 becomes

1/2 + b = 3.5 so

b = 3 and the equation is

[tex]y=\frac{1}{2}x^2+3x+5[/tex]

Answer:

first one

Step-by-step explanation:

a + b = c

subtract a from both sides

b = c - a

or

c - a = b

[tex]\longrightarrow{\green{ a. \: c - a = b }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]a + b = c[/tex]

[tex]⇢ b = c - a[/tex]

[tex]⇢ c - a = b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Answer:

No solutions

Step-by-step explanation:

Let's solve your equation step-by-step.

5m−2(m+3)+6/2  

=3m−4/2  

Step 1: Simplify both sides of the equation.

5m−2(m+3)+6/2  

=3m−4/2  

5m+(−2)(m)+(−2)(3)+6/2  

=3m+−2(Distribute)

5m+−2m+−6+3=3m+−2

(5m+−2m)+(−6+3)=3m−2(Combine Like Terms)

3m+−3=3m−2

3m−3=3m−2

Step 2: Subtract 3m from both sides.

3m−3−3m=3m−2−3m

−3=−2

Step 3: Add 3 to both sides.

−3+3=−2+3

0=1

Answer:

There are no solutions

Answer:

No solutions

Step-by-step explanation:

[tex]5m-2(m+3)+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+\frac{6}{2} =3m-\frac{4}{2}[/tex]

[tex]5m-2m-6+3 =3m-2[/tex]

[tex]5m-2m-3 =3m-2[/tex]

[tex]3m-3 =3m-2[/tex]

[tex]3m-3+3 =3m-2+3[/tex]

[tex]3m=3m+1[/tex]

[tex]3m-3m =3m- 3m+1[/tex]

0 = 1

No solutions

Answer:

Step-by-step explanation:

I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:

[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:

[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to

[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to

[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:

[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:

[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to

[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple

[tex]cos^2(x)[/tex]

Answer:

What’s the question

Step-by-step explanation:

Answer:

3.78 × [tex]10^{2}[/tex] = 378

Step-by-step explanation:

==============================================================

Explanation:

f(x) is shown in the blue dashed line, while g(x) is a solid black line.

When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.

This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.

The vertex of each V shape is the same and that's at the origin (0,0).

No translations (horizontal or vertical shifting) are occurring.

The graph that shows the function g(x) = 3|x| is graph B.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)

Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.

Hence graph B is correct.

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Answer:

½

Step-by-step explanation:

the scale factor of dilation = 6/12 = ½

Answer:

x = 17

Step-by-step explanation:

(5x-23) + (7x-1) = 180

12x - 24 = 180

12x = 204

x = 17

Answer:

x = 17

Step-by-step explanation:

The 2 given angles are same- side interior angles and sum to 180° , then

7x - 1 + 5x - 23 = 180

12x - 24 = 180 ( add 24 to both sides )

12x = 204 ( divide both sides by 12 )

x = 17

Answer:

Step-by-step explanation:

x

Answer:

a

using a calculator u can see the digits that follow.

Answer:

Option A is correct

Step-by-step explanation:

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

Answer:

31°,59°

Step-by-step explanation:

csc (2x+9)=sec(3x+26)

1/sin(2x+9)=1/cos (3x+26)

sin (2x+9)=cos(3x+26)

cos (90-2x-9)=cos(3x+26)

90=3x+26+2x+9

5x+35=90

5x=90-35=55

x=55/5=11

2x+9=2×11+9=31°

3x+26=3×11+26=59°

Answer:

# of 20cent stamps = 8

Step-by-step explanation:

Let the  number 20cent stamps be = x

Let the number 60 cents stamps be = y

Total number of stamps => 20 = x + y ----------- ( 1 )

Total cost of the stamps = 8.80

That is, 0.20x + 0.60y = 8.80 ------------- ( 2 )

      ( 2 ) => 20x + 60y = 880

            => x + 3y = 44

           =>  x = 44 - 3y

Substitute x in  ( 1 ) => x  +  y = 20

                                 44 - 3y + y = 20

                                     - 2y = 20 - 44

                                     - 2y = - 24

                                       2y = 24

                                       y = 12

Substitute y = 12 in  ( 1 ) => x + y = 20

                                         x + 12 = 20

                                            x = 8

Answer:

527 grams

Step-by-step explanation:

Use the density formula, d = m/v

Plug in the density and volume, then solve for m (mass):

d = m/v

0.85 = m/620

527 = m

So, the mass is 527 grams

Answer:

50 crates

Step-by-step explanation:

First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D

Answer:

28

Step-by-step explanation:

2[3*5]-2

2*15-2

30-2

28

[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]

[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]

[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]

[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]

[tex] ➺\: - 15x = - 2\\[/tex]

[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]

[tex]➺ \: x = \frac{2}{15}\\ [/tex]

[tex] ➺\: x = 0.1333[/tex]

[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]

Answer:

x = 27

Step-by-step explanation:

3x - 4y = 65

3x = 65 + 4y

Find x, when y = 4

3x = 65 + 4 (4)

3x = 65 + 16

3x = 81

x = 27             [tex][ \ x = \frac{81}{3}\ ][/tex]                    

7

Hope this helps! :)

______________

Answer:

very easy there are 42 students because every student needs a bookmark for each of their groupmates

Answer:

I'm not sure what you mean by "O A. 3 O B. v O C. VE OD. 6", if that's just options for answers or something, But the side length opposite of the 60° angle would be 3.

Answer:

a trapezium

Step-by-step explanation:

by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium

Answer:

C) divide the numerator by the denominator

Step-by-step explanation:

Example

6/3=2/1

Answer: 36%

Step-by-step explanation:

Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:

= $5/4

= $1.25 per box

This week they mark a new price at 5 boxes for $4. The price per box will be:

= $4/5

= $0.8 per box

The percent decrease in the price per box this week will be:

= (1.25 - 0.80)/1.25 × 100

= 0.45/1.25 × 100

= 36%

The Percentage decrease is 36%