Correct 25.0457 to 2 significant figure

Answer:

x = 30

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

8x - 3(2x - 4) = 3(x - 6)

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

Sean's sum divided by Julie's sum is 2.

Step-by-step explanation:

The sum of an arithmetic sequence is:

[tex]\frac{n}{2}(2a+(n-1)d)[/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

In Julie's sequence, a = 1, n = 250, and d = 2

[tex]\frac{\frac{250}{2}(2(2)+(250-1)2)}{\frac{250}{2}(2(1)+(250-1)1)}\\= 2[/tex]

The Sean's sum divided by Julie's sum gives the 2.

An arithmetic sequence is sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

Its nth term is ; T_n = a + (n-1)d

(for all positive integer values of n)

And thus, the common difference is T_{n+1} - T_n for all positive integer values of n

The sum of an arithmetic sequence is;

[tex]= \dfrac{n}{2}[2a + (n-1)d ][/tex]

In Sean's sequence, a = 2, n = 250, and d = 2

[tex]= \dfrac{250}{2}[2(2) + (250-1)2 ]\\[/tex]

In Julie's sequence, a = 1, n = 250, and d = 2 then;

[tex]= \dfrac{250}{2}[2(1) + (250-1)2 ]\\[/tex]

Therefore, the Sean's sum divided by Julie's sum gives the 2.

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The number of years it will take for the value of the money in the account to reach $153,400 would be = 17 years.

Simple interest is defined as the amount of money that is received as an extra cash based on an investment made in an account.

The principal amount of money invested= $96,000

The rate of interest = 3.5%

The total interest on the principal amount = $153,400- $96,000 = $57,400

The time for this investment= ?

Using the formula for simple interest= p×T×R/100

57,400 = 96,000 ×T× 3.5 /100

Make T the subject of formula;

T = 57,400×100/96,000×3.5

T = 5740000/336000

T = 17 years (approximately)

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Answer:

The y intercept is 4

Step-by-step explanation:

Given:

-Given point: (-5,-6)

-Slope of 2

1) Put the equation into point-slope form y - y1 = m(x - x1)

With the given, we can plug it all in using this formula!

-y1 = -6

-x1 = -5

m = 2

(you would change these negative numbers into positives because the equation shows them being subtracted! remember that two negatives make one positive!)

y+6= 2(x+5)

2) Simplify

y+6= 2(x+5)

y+6=2x+10

y=2x+4

With y=2x+4, set x to 0 because the y intercept is where x is equal to 0 and you get 4!

Answer: 360 degrees

Step-by-step explanation: There are 4 sides in an angle. Substitute that value in for n and u have: (4-2) x180. After doing that, subtract inside the parenthesis and multiply your difference by 180. You should get 360 degrees. I hoped this helped.

Answer:

360!!!!!!!!!!!!!!!!!!!! ;)

Step-by-step explanation:

Answer:

The percentage increase is 70%

Step-by-step explanation:

There is a calculator that solves the problem for you just enter the 2 values that they ask for

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

x        - the first integer

x+1   - the next integer consecutive to x (the second consecutive integer)

x + x+1    - the sum of two consecutive integers

x+1+1=x+2 - the integer consecutive to x+1 (the third consecutive integer)

x+2 + 2  - two more than the third integer

x + x+1  = x+2 + 2

2x + 1 = x + 4

x + 1 = 4

 x = 3

x+1 = 3+1 = 4

x+2 = 3+2 = 5

Answer:

no

Step-by-step explanation:

9514 1404 393

Answer:

  y = 2x -6

Step-by-step explanation:

One form you can use for this purpose is ...

  (x2 -x1)(y -y1) = (y2 -y1)(x -x1)

Filling in the given point values, this is ...

  (0 -4)(y -2) = (-6 -2)(x -4)

  -4y +8 = -8x +32

Generally, we like the equation to have coefficients with no common factors. All of these coefficients can be divided by -4.

  y -2 = 2x -8

This can be rearranged to any form you may like--or left as is.

  y = 2x -6 . . . . . slope-intercept form

Answer:

Step-by-step explanation:

Domain is the independent variable (x)

Range is the dependent variable (y)

For each of these you would just put what x and y are equal to

For the Domain you would put:

0<=x<=3

<= is less than or equal to

For the Range you would put

1<=y<=4

The line is a function

Answer:

-18

Step-by-step explanation:

-18

brainlest please

Answer:

£1.03, £1.23, £1.32, £3.12, £3.21

Step-by-step explanation:

Answer:

X=13. y=5 AC=20

Step-by-step explanation:

To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!

The length of AC from the diagram is 25

To get the value of x and y, we will use the similarity theorem of a triangle

BC = 2DE

x + 3 = 2(8)

x + 3 = 16

x = 16 - 3

x = 13

Hence BC = 16

From the given figure;

AE/DE = AC/BC

x-3/8 = (x-3+y+5)/x+3

10/8 = 15+y/13

130 = 8(15+y)

130 = 120 + y

y  = 10

Get the length of AC

AC = 13-3+10+5

AC = 25

Hence the length of AC from the diagram is 25

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Answer:

Pay Rate = Constant of Proportionality = E/h

Step-by-step explanation:

Recall this formula:  Total Pay = (Hourly Pay Rate)*(Number of Hours Worked)

Apparently there was a graph associated with this problem; it's up to you to share all instructions and other info that comes with your question.

Rewriting Total Pay = (Hourly Pay Rate)*(Number of Hours Worked), using E for total earnings and h for the number of hours worked, we get:

E = (Hourly Pay Rate)*h

The relevant constant of proportionality is found by dividing E by h:

Pay Rate = Constant of Proportionality = E/h

Answer:

See Below.

Step-by-step explanation:

1) Given:

[tex]3x+2y+7=5x+3y+10[/tex]

2) Subtraction Property of Equality (subtract 2y from both sides):

[tex]3x+7=5x+y+10[/tex]

3) Subtraction Property of Equality (subtract 5x from both sides):

[tex]-2x+7=y+10[/tex]

4) Subtraction Property of Equality (subtract 10 from both sides):

[tex]-2x-3=y[/tex]

5) Symmetric Property:

[tex]y=-2x-3[/tex]

6) Slope-intercept form:

[tex]y=mx+b\text{, where $m$ is slope and $b$ is y-intercept.}[/tex]

7) Substitution:

[tex]m=-2[/tex]

Answer:

The answer is X= 4.

Answer:A

Step-by-step explanation:

The line touches the y axis at -1. The line then goes up 1 over 2 but since it’s on the bottom part of the graph it has the be negative. Y=-1/2X-1

Answer:

Slope = rise/run

          = -1/2              (negative because the slope is decreasing)

y - intercept = -1

Option A

y = -1/2x-1

Answer:

Can u space them out so i know which ones are exponents

Step-by-step explanation:

Answer:

the slope is [tex]\frac{7}{4}[/tex]

Step-by-step explanation:

Given: 4y - 7x = 10; solve y

4y - 7x = 10; add 7x to both sides to isolate the 4y variable

4y = 7x + 10; now divide by 4

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{10}{4}[/tex]; reduce the fraction

y = [tex]\frac{7}{4}[/tex]x + [tex]\frac{5}{2}[/tex]; the slope is

Answer:

m= 7/4

Step-by-step explanation:

Answer:

positive slope

Step-by-step explanation:

Answer:

Points L, J, and K are collinear.

Step-by-step explanation:

brinlest plz

Answer:

ferns,gymnosperms, and flowering plants are all vascular plants

Step-by-step explanation:

Answer: 0.1 or 1/10

Step-by-step explanation:

it increases 3° each hour

3*2= 6

6° after 2 hours

3*3= 9

9° after 3 hours

3*6= 18

18° after 6 hours

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Hope i helped