Melting is when a substance changes from a
a. solid to a liquid (i.e. from ice to water).
b. liquid to a solid (e.g. water to ice).

Answer:

a) The next two terms are: 13, 16

b) nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]

Step-by-step explanation:

a) Find the next two terms of sequence: -2,1,4,7 and 10

The common difference d: a₂-a₁ = 1-(-2)= 3

a₃-a₂= 4-1 = 3

a₄-a₃=7-4=3

So, common difference is : 3

Next two terms are: 10+3 = 13

13+3= 16

The next two terms are: 13, 16

b) Find nth term of the sequence

The nth term can be found using formula:

[tex]a_n=a_1+(n-1)d[/tex]

where a₁=First term and d=Common Difference

In the sequence given we have a₁=-2 and d=3

So, the nth term will be:

[tex]a_n=a_1+(n-1)d\\a_n=-2+(n-1)3\\a_n=-2+3n-3\\a_n=3n-5[/tex]

So, nth term of the sequence is [tex]\mathbf{a_n=3n-5}[/tex]

8y-2=6

8y=8

y=1

The value of the y is 1.

Answer:

y=-(2/3)x-3

Step-by-step explanation:

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[tex]slope = \frac{ - 5 - 4}{6 - 3} \\ [/tex]

[tex]slope = \frac{ - 9}{3} \\ [/tex]

[tex]slope = - 3 \\ [/tex]

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Answer:

p=  y=6x+2

Q=  y=-2x+2.5

Step-by-step explanation:

the formula is y=mx+b

M=slope

B=y-intercept

The y-intercept is the number that your line goes through

The slope is two ordered pairs where you use the formula rise over run to find your slope.

Answer:

x=18

Step-by-step explanation:

First, multiple both sides by reciprocal 3/2.

It will look like this: x=12*3/2

Then, simplify:

x=18

Hope it helped.

Answer:

-13

Step-by-step explanation:

g(1) = -5*1 = -5

f(g(1)) = f(-5) = 2*(-5) - 3 = -10-3 = -13

Answer:

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Step-by-step explanation:

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Answer:

= 0.312

Solution:

Change the divisor 6.410251 to a whole number by moving the decimal point 6 places to the right. Then move the decimal point in the dividend the same, 6 places to the right.

We then have the equations:

2000000 ÷ 6410251 = 0.312

and therefore:

2 ÷ 6.410251.6109 1) = 0.312

Both calculated to 3 decimal places.

             0 0 0 0 0 0 0. 3 1 2

6 4 1 0 2 5 1 2 0 0 0 0 0 0. 0 0 0

           − 0                  

             2 0                

           −   0                

             2 0 0              

           −     0              

             2 0 0 0            

           −       0            

             2 0 0 0 0          

           −         0          

             2 0 0 0 0 0        

           −           0        

             2 0 0 0 0 0 0      

           −             0      

             2 0 0 0 0 0 0 0    

           − 1 9 2 3 0 7 5 3    

                 7 6 9 2 4 7 0  

               − 6 4 1 0 2 5 1  

                 1 2 8 2 2 1 9 0

               − 1 2 8 2 0 5 0 2

                         1 6 8 8

Answer:

y= -2/7x-7

Step-by-step explanation:

slope intercept form is just a fancy way of saying y=mx+b

x being your input, y your output, m your slope, and b your y intercept

you can use the slope to determine your equation will look something like: y=-2/7x+b. To find your y-intercept all you do is determine how much the point will increase or decrease so it is equal to (0, y). In this case it will increase by 14 on the x's (so x is equal to 0) and 14*-2/7. When you have determined your y-int and slope you can then plug them into the equation instead of the variables.

Answer:16

Step-by-step explanation:18- 3=16

Answer: the answer is 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let's solve for x.

2

x

+

y

=

17

Step 1: Add -y to both sides.

2

x

+

y

+

−

y

=

17

+

−

y

2

x

=

−

y

+

17

Step 2: Divide both sides by 2.

2

x

2

=

−

y

+

17

2

x

=

−

1

2

y

+

17

2

Answer:

x

=

−

1

2

y

+

17

2

This can be determined by the concept of straight line. [tex]\bold{y=-2x+17}[/tex]  is the slope-intercept form of [tex]2x+y=17[/tex].

Given: 2x + y = 17  

As, we  know that,

Equation of line is,

 [tex]\bold{y=mx+c}[/tex]

Where, 'm ' gives the slope/gradient of the line and 'c' gives y-intercept.

From the given equation,

[tex]2x+y=17[/tex]  

Solve  it further , we get,

[tex]\bold{y=-2x+17}[/tex]

This is the slope-intercept form of [tex]2x+y=17[/tex].

Here, comparing this with [tex]y=mx+c[/tex], we get

m= -2 ( slope/gradient)  and c= 17  (y-intercept)

So, slope / gradient of line : m= -2.

For further details, please refer this link:

https://brainly.com/question/11824567

Answer:

50(Option D)

Step-by-step explanation:

Trigonometry

Inverse trig for this

So we are given adjacent and opposite legs for this part. So tangent is used except because we are finding angle(tan^-1 is used) tan^-1 is not 1/tan

tan^-1(56/47)

We get 49.993744 and so on

So rounded to the nearest degree, that is 50.

Answer:

A.) 6x - 7

Step-by-step explanation:

Answer:

125°

Step-by-step explanation:

So we know that the total height is 85.5 (building height plus Lucia's height) and that the distance between Lucia and the fountain is 122ft away. As seen in the badly drawn picture below, the question asks us to solve for x, we can do this by first solving for y by using tangent to calculate its value which is the following

tan(y) = opposite / adjacent

tan(y) = 122 / 85.5

tan(y) = 1.4269

y = [tex]tan^{-1}[/tex](1.4269)

y = 54.97

Now that we have the value of y and we know that a straight line has a degree of 180, we can simply subtract the degree of y from 180 to get the degree of x

180 - 54.97 = 125.03

Answer:

about 35°

Step-by-step explanation:

tan^-1(85.5/122)

35.02352736°

=35°

Answer:

( 3 - 3 )

Step-by-step explanation:

I search up all my the questions people ask me and make sure they are %100 percent correct. If any other questions, ask right away. Have a good night.

Answer: 32.0%

Step-by-step explanation:

The price of car last month = $250

The price of the car this month = $330

Increase in price = $330 - $250 = $80

Percentage increase = (Increase in price/Cost price last month) × 100

= $80$250 × 100

= 0.32 × 100

= 32.0%

The percent of increase in the price of the car is 32.0%.

Answer:

D

Step-by-step explanation:

They should both level out at the same height considering the volume of hydrochloric acid used.

Answer:

D

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

-3x+12=x

12=x+3x

12=4x

x=12

4

x=3 hope it helpu

Answer:

divison i believe

Answer: Multiplication Property of Equality

Answer:

B

Step-by-step explanation:

Answer:

-5=x

Step-by-step explanation:

3=-2 (x+2)

-2 (x+2) = -2x-4

3=-2x-4

-4 from 3 and -4

= -7=-2x

do the opposite "-2 to +2 "

=-5=x

Let, number of double rooms and single rooms are d and s.

d + s = 26     ....1 )

Hotel rents double rooms at $34 per day and single rooms at $27 per day.

34d + 27s = 807   ....2)

Solving equation 1 and 2, we get :

34( 26 - s ) + 27s = 807

884 - 34s + 27s = 807

7s = 77

s = 11

And d = 26 - 11 = 15

Therefore, number of double rooms and single rooms are 15 and 11.

Hence, this is the required solution.

Answer: 3

Step-by-step explanation:

-3 + 4x = 9

if u add 3 to 9, u get 12. 12 divided by 4 is 3

Add 3 to both sides of the equation to isolate the variable term. Therefore, option B is the correct answer.

The given equation is -3 + 4x = 9.

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation.

Now, add 3 on both sides.

That is, -3 + 4x +3= 9+3

⇒4x=12

⇒x=3

Therefore, option B is the correct answer.

To learn more about the equation visit:

https://brainly.com/question/10413253.

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Answer:

1 pair of wings = 3/4 yard fabric

We know that 1 yard of fabric = $8

1 pair of wings = $8 x 3/4 = $6

Therefore total cost = $6 x 13 = $78

Step-by-step explanation:

Answer:

[tex]KE = 520 J[/tex]

Step-by-step explanation:

[tex]KE=\frac{1}{2}mv^2\\KE=\frac{1}{2}*65*4^2\\KE=\frac{1}{2}*65*16\\\\KE=520J[/tex]