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3 years ago

YOU GET 43 POINTS

Mathematics

2 answers:

beks73 [17]3 years ago

7 0

Answer:

4.396

Step-by-step explanation:

Subtract em.

Andru [333]3 years ago

4 0

Answer:

4.396 ounces

Step-by-step explanation:

Please mark me brainliest :)

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Suppose y varies directly with x. If y = -4 when x = 8, what is the equation of direct variation?

tresset_1 [31]

$\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we also know that }~~ \begin{cases} y=-4\\ x=8 \end{cases}\implies -4=k(8)\implies \cfrac{-4}{8}=k\implies -\cfrac{1}{2}=k \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-\cfrac{1}{2}x~\hfill$

8 0

3 years ago

Read 2 more answers

What is the solution to the linear equation 4b + 6 = 2 - b+ 4

inessss [21]

Final Answer: $b = 0$

Steps/Reasons/Explanation:

Question: What is the solution to the linear equation $4b + 6 = 2 - b + 4$ ?

Step 1: Simplify $2 - b + 4$ to $6 - b$ .

$4b + 6 = 6 - b$

Step 2: Cancel $6$ on both sides.

$4b = -b$

Step 3: Subtract $-b$ from both sides.

$4b + b = 0$

Step 4: Simplify $4b + b$ to $5b$ .

$5b = 0$

Step 5: Divide both sides by $5$ .

$b = 0$

~I hope I helped you :)~

5 0

3 years ago

Determine the first four terms of the sequence in which the nth term is a_n=(n+1)!/(n+2)!

Vilka [71]

Answer: Choice B) 1/3, 1/4, 1/5, 1/6

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

Plug in n = 1 to find the first term

a_n = ( (n+1)! )/( (n+2)! )

a_1 = ( (1+1)! )/( (1+2)! )

a_1 = ( 2! )/( 3! )

a_1 = ( 2*1 )/( 3*2*1 )

a_1 = 2/6

a_1 = 1/3

The first term is 1/3. Optionally you can stop here because only choice B has 1/3 listed as the first term, so this must be the answer. However, I'm going to keep going to show how to find the three other terms. This will help confirm why choice B is the answer, and it will be handy for those times when you aren't given multiple choice answers.

------------

Plug in n = 2

a_n = ( (n+1)! )/( (n+2)! )

a_2 = ( (2+1)! )/( (2+2)! )

a_2 = ( 3! )/( 4! )

a_2 = ( 3*2*1 )/( 4*3*2*1 )

a_2 = 6/24

a_2 = 1/4

The second term is 1/4

------------

Plug in n = 3

a_n = ( (n+1)! )/( (n+2)! )

a_3 = ( (3+1)! )/( (3+2)! )

a_3 = ( 4! )/( 5! )

a_3 = ( 4*3*2*1 )/( 5*4*3*2*1 )

a_3 = 24/120

a_3 = 1/5

The third term is 1/5

------------

Plug in n = 4

a_n = ( (n+1)! )/( (n+2)! )

a_4 = ( (4+1)! )/( (4+2)! )

a_4 = ( 5! )/( 6! )

a_4 = ( 5*4*3*2*1 )/( 6*5*4*3*2*1 )

a_4 = 120/720

a_4 = 1/6

The fourth term is 1/6

------------

The first four terms are: 1/3, 1/4, 1/5, 1/6, so that confirms why choice B is the answer.

4 0

3 years ago

Find k, the constant of proportionality, for the data in this table. Then write an equation for the relationship.

VashaNatasha [74]

Answer:

$k=\frac{32}{5}$ , $y=\frac{32}{5}x$

$k=6.4$ , $y=6.4x$

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

Find the value of the constant of proportionality k

take any ordered pair from the data

For x=25, y=160

$k=\frac{y}{x}$

substitute the values of x and y

$k=\frac{160}{25}$

simplify

$k=\frac{32}{5}$

The linear equation is equal to

$y=\frac{32}{5}x$

$y=6.4x$

7 0

3 years ago

Pleaseeeee helppppp ASAPPPPP

Dominik [7]

Hello.

To find the slope, use the formula:

m= (y2-y1) / (x2-x1)

Note: The 2s and 1s are NOT exponents or constants. They are simply markers.

So:

m= (5-(-4)) / (2-0)

m= (5+4) / 2

m = 9/2

Note: The order of the coordinates don't matter as long as y2 is aligned with x2 etc.

Example: (okay)

m= ((-4)-5) / (0-2)

m= -9/ -2

m= 9/2 because a negative multiplied or divided by a negative makes a positive.

Now, let's see what's not okay:

(2,5)(0,-4)

m= (5-(-4)) / (0-2)

NOT. OKAY. since the 1s and 2s aren't aligned.

Hope that helped.

**************************

Disclaimer:

Always double check with a reliable source, as mistakes can be made.

7 0

3 years ago