Identify the values of the variables. Give your answers in the simplest radical form.

Answer:

y=-3x+8

Step-by-step explanation:

Answer:

[tex]a=-\frac{c-b}{2}[/tex]

Step-by-step explanation:

Solving for the variable [tex]a[/tex], given that :

[tex]b-2a=c[/tex]

We can first start start by subtracting [tex]b[/tex] from both sides of the equation:

[tex]-2a=c-b[/tex]

Now, we can divide both sides of the equation by the coefficient of [tex]a[/tex], which would be [tex]-2[/tex]:

[tex]a=\frac{c}{-2}-\frac{b}{-2}[/tex]

Applying the fraction rule [tex]\frac{a}{c}\pm\frac{b}{c} =\frac{a\pm b}{c}[/tex]:

[tex]a=\frac{c-b}{-2}[/tex]

Then, apply the fraction rule [tex]\frac{a}{-b} =-\frac{a}{b}[/tex]

[tex]a=-\frac{c-b}{2}[/tex]

Answer:

Left hand Limit = Right Hand Limit = f(a)

it is a continuous function.

Step-by-step explanation:

Solution:

In order to find out the continuity of the function, we need to keep in mind following things:

Left hand Limit = Right Hand Limit = f(a)

Where, f(x) = exists and f(a) = defined.

Data Given:

f(x) = x tan(1/x)   x [tex]\neq[/tex] 0 (this function is used when x > 0  and x<0)

f(x) = 0 when x = 0

First we have to check the Left hand Limit.

L.H.L = f(0-h) (x<0)

Lim[tex]_{x-->0^{-} }[/tex] f(x)

Lim[tex]_{x-->0^{-} }[/tex] x tan (1/x)

Put x = 0-h

Lim[tex]_{x-->0^{-} }[/tex] (0-h) tan (1/(0-h))

Lim[tex]_{x-->0^{-} }[/tex]  h tan (1/h)

Putting h = 0

(0) x  (tan(1/0)))

As we know, for tanx value is a finitely oscillatory between -∞ to +∞  

Hence, 0 x finite number then,

L.H.L = 0

Similarly,

R.H.L = f(0+h)

Lim[tex]_{x-->0^{+} }[/tex] (0+h) tan (1/(0+h))

Lim[tex]_{x-->0^{+} }[/tex] (h) tan (1/(h))

R.H.L = 0

Now, as we know, when x = 0

f(x) = 0

f(0) = 0

Left hand Limit = Right Hand Limit = f(a)

Hence, it is a continuous function.

Answer:

4555

Step-by-step explanation:

32233x222213456765x345665434565

The scuba driver traveled to the sea level which is 8012  feet

Sea level is measured in relation to the adjacent land. Just like the ocean, the elevation of land may rise and fall over time. For example, the tremendous weight of a glacier on land pushes the land down, closer to sea level. And the sea level at the surface of the ocean is considered to be zero.

Given here, he dived to a depth -8012 feet so he has to ascend again         by + 8012 feet to reach the surface of the ocean .

Hence, he traveled 8012 feet.

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25 gallons!have a nice day

Answer:

25 gallons of water

Step-by-step explanation:

1 minute= 2.5 gallons

10 minutes = 2.5 x 10

= 25 gallons

Answer:

m = 1/3 and b = - 4

Step-by-step explanation:

The equation already gives the answer as the equation is in slope-intercept form.

[tex]y = mx + b[/tex]

Where m = slope and b = y-intercept.

From the equation —

[tex]y = \frac{1}{3} x - 4 \\ m = \frac{1}{ 3} \\ b = - 4[/tex]

Therefore, our slope is 1/3 and y-intercept is - 4.

Answer:

40 degrees

22 min's

55.39 sec's

Step-by-step explanation:

Answer:

5)85+63=148

180 is how much a reingle add up to so you do

180-148=32

x=32

6)the right angle means 90°

so 90+61=151

180-151=29

x=29

hope it helps

Answer:

When you divide one number by another, the result is called the quotient. This is true for rational expressions too! When you divide one rational expression by another, the result is called the quotient.

Answer:

8, 10, 3.3333

Step-by-step explanation:

look at the picture for an explanation,

use the same method for all 3

Answer:

C. 10 + squareroot10 units

Step-by-step explanation:

9514 1404 393

Answer:

  A)  -1 < x < 0

Step-by-step explanation:

The horizontal line that is the x-axis is also the line y = 0. The curve is above that line when x < 0, and when x > 3.6.

The only interval that overlaps either of these regions is ...

  (A)  -1 < x < 0

Answer:

60+40+30+70=200 this an answer of a and B is 200

Answer:

A. 60+40+30+70=200

B. 200

Step-by-step explanation:

Hope this helps have an amazing day/month/year!

Answer:

true, because 13 is belong to 1 to 23 between number so,

Answer:

Mean: 27

Median: 25

Range: 8

Mid Range: 28

Step-by-step explanation:

The value of mean, median, range and mid range will be 27 , 24 , 8 and 28 respectively.

It is given that the time in minutes for which Devi rides the bus in a week is 24, 32, 25, 24, 30, 30, 24.

We have to find out the value of mean, median, range and mid range.

What is mean of numbers ?

The mean of numbers is the ratio of sum of all numbers to the total no. of numbers.

As per the question ;

The time in minutes for which Devi rides the bus in a week is ;

24, 32, 25, 24, 30, 30, 24.

So ;

The mean will be ;

= [tex]\frac{24 + 32 + 25 + 24 + 30 + 30 +24}{7}[/tex]

= [tex]\frac{189}{7}[/tex]

= 27

and

We know that when n is odd number then ; Median is  ;

= [tex]\frac{n+1}{2}th[/tex]  term

= [tex]\frac{8}{2}th[/tex] term

= 4th term

=  24

and

Range will be ;

= largest number - smallest number

= 32 - 24

= 8

and

Mid range will be ;

=  (largest number + smallest number) / 2

= [tex]\frac{32 + 24}{2}[/tex]

= 56 / 2

= 28

Thus , the value of mean, median, range and mid range will be 27 , 24 , 8 and 28 respectively.

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Answer:

1.475

Step-by-step explanation:

When we have a percentage and want to convert it to the decimal, we want to move the decimal 2 places to the left (away from the percentage) or divide by 100.

147.5/100 = 1.475

Answer:

1042

Step-by-step explanation:

-38,-8,22,52

The common difference is 52 - 22 = 30

a_1 = -38

a_2 = -38 + 30

a_3 = -38 + 2 * 30

a_4 = -38 + 3 * 30     (notice that the common difference is multiplied by 1 less than the term number)

a_n = -38 + (n - 1)30      (since the term number is n, we multiply the common difference by n - 1)

a_n = -38 + 30(n - 1)

a_37 = -38 + 30(37 - 1)

a_37 = 1042

Answer:

40

Step-by-step explanation:

Answer:

?? im really confused sorry i dont think you finished the question

Answer:

6 inches by 10 1/2 inches by 30 inches

Step-by-step explanation: To find this answer you have to multiply the old dimensions by the scale factor which is 3/4. You would do 8 times 3/4 which is 6 inches. Then 14 inches times 3/4 which is 10 1/2. And then 40 inches times 3/4 and that answer is 30 inches. Those are the new dimensions for the cabinet.

Answer:

The equation   g(x) = 2(x+4)² +3

 (h,k) = (-4,3) and a = 2

Step-by-step explanation:

Step(i):-

Given equation  g(x) = 2 x² + 16 x +35

                          g(x) = 2(x² +8 x ) +35

                         g(x) = 2(x² +2(4) (x ) +(4)² -(4)²)+35

we know that (a+b)² = a²+2ab+b²

Step(ii):-

                        g(x) = 2( x+4)² - 2(16) +35

               ⇒    g(x) = 2(x+4)²  - 32 +35

              ⇒     g(x) = 2(x+4)² +3

comparing     g(x) = a (x-h)² +k

         (h,k) = (-4,3) and a = 2

Final answer:-

The equation   g(x) = 2(x+4)² +3

 (h,k) = (-4,3) and a = 2

cos ( 3 x )

sin ( 3 x )

tan ( 3 x )

Answer:

114°

Step-by-step explanation:

The measure of an arc is double the measure of the angle between the chord and the tangent line.

Answer:

[tex]\displaystyle 3^2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{3^3 \cdot 3^3}{3^4}[/tex]

Step 2: Simplify

Answer:

just download conects

Step-by-step explanation:

Step-by-step explanation:

Which do you enjoy the most?

Answer:

m∠1 = 124°

Step-by-step explanation:

If this is the case then m∠1 and m∠2 are congruent to each other with the same angle in which m∠2 is also 124°, if m∠3 is said to be 56°.  Also, a straight angle has to equal to 180° in which the first angle is classified as obtuse.

Answer:

2 Radical 50

Step-by-step explanation:

Now we need to reduce the 100,since 2 is not reducible its automatically goes outside the radical. To reduce the 100 we can multiply 50 times 2.You can see now that the 2 in the radical is also not reducible so that also has to go outside the radical. When you get two numbers that are alike you don't necessarily combine them but only use one of them.

Answer:

27.3

Step-by-step explanation:

    4

  23.3  +

  27.3

You can align the numbers over each other and simply add them.