y = 3
3y + 78 + 6y + 13​

[tex]\text{First term,} ~a = 72\\\\\text{Common ratio,}~ r = \dfrac{-36}{72} =-\dfrac 12 \\\\\text{Sum of an infinite geometric series,}\\\\S_{\infty} = \dfrac a{1 - r}\\\\\\~~~~~= \dfrac{72}{1+ \dfrac 12}\\\\\\~~~~~=\dfrac{72 }{\tfrac 32}\\\\\\~~~~~=\dfrac{72 \times 2}3\\\\\\~~~~~=48[/tex]

Series: 72 - 36 + 18 - 9 +...

[tex]\sf S \infty \ =a_1 \ x \ \dfrac{1}{1-r}[/tex]

Identify the following

Solve:

[tex]\rightarrow \sf S \infty \ =(72-36) \ x \ \dfrac{1}{1-\frac{1}{4} }[/tex]

[tex]\rightarrow \sf S \infty \ =48[/tex]

This series has a sum of 48.

Answer:

y = x/5280  

Step-by-step explanation:

y  miles =  x feet / 5280

Answer:

the value of cos is 26

k =14

j=30

Step-by-step explanation:

mark me as brainlist

Answer:

f'(x) = 2x - 20

Step-by-step explanation:

f(x) = 1/2 x + 10

Switch x and y.

y = 1/2 x + 10

Solve for y by itself.

x = 1/2 y + 10

x - 10 = 1/2 y

y = 2 * (x - 10)

f'(x) = 2x - 20

Answer:

57 miles.

Step-by-step explanation:

to find

⇒ total number of miles dana ran

given

⇒ monday = 10.2 miles

⇒ tuesday = 11.4 miles

⇒ wednesday and thursday =  11.8 miles

⇒ friday = 12.3 miles

∴ total number of miles = 10.2 + 11.4 + 23.6 + 12.3

⇒ 57.5

⇒ 57 miles

Answer:

-10 x 2 and -5 x 4

Step-by-step explanation:

An integer is a number that must be whole and can either be negative or positive. The product is the total value from multiplying values.

Applicable equations:

-10 x 2 = -20

10 x (-2) = -20

-5 x 4 = -20

5 x (-4) = -20

-1 x 20 = -20

1 x (-20) = -20

Answer:

-8, 16, ...

Step-by-step explanation:

You are subtracting 8 everytime. Therefore, you would go into negatives from here.

Answer:

24, 16 , 8 , 0

\/ \/ \/

-8 -8 -8

Step-by-step explanation:

for you to get 8 you subtract the first term with the second term

Answer:

2√10

Step-by-step explanation:

√40=√4 x 10

2√10

Answer:

b

Step-by-step explanation:

4 - 8 = -4 times 2 = -8

The equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out will be:

 |C-78|=2.5

From the question, we have to determine the equation which can be used to find the minimum or maximum amount, c, of chocolate chips that he can weigh out.

Mathematically, it means:

|C-78|=2.5

Hene, the reqired equation will be  :|C-78|=2.5

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Answer:

850 ( 2 multiply by 15 divide by 100)

850 ( 2 multiply 0,15)

850 multiply 0,3

= R255, 00

Answer:

D

Step-by-step explanation:

assuming a 6 sided die half of the die is above 3 so 1/2

Answer:

Square root of 169 by Prime factorization is 13×13

Answer:

13*13

Hope this helped!

Too make this easier for me or others 3/4 can be represented as 0.75. 3/4 or 0.75 x 16 = 12

More depth explanation:

Multiple: 3/

4

* 16 = 3 · 16/

4 · 1

= 48/

4

= 12 · 4/

1 · 4

= 12

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(48, 4) = 4. In the following intermediate step, cancel by a common factor of 4 gives 12/

1

.

In other words - three quarters multiplied by sixteen = twelve.

By finding the equations for the length of the candles as a function of time, we will see that the answer is 3.27 hours.

Here we assume that:

Both candles have the same original length L, and both decrease a constant rate.

Candle 1 is consumed in 6 hours, so it is consumed at a rate of:

L/6h.

This means that after a time t in hours, the length of candle 1 is:

L₁(t) = L - (L/6h)*t

For candle 2, the rate is:

L/9h

And the function for the length of candle 2 is:

L₂(t) = L - (L/9h)*t

Now we want to find the value of t such that:

L₂(t) = 3*L₁(t)

So we just solve:

L - (L/9h)*t = 3*(L - (L/6h)*t)

L - (L/9h)*t = 3L - (L/2h)*t

(L/2h)*t -  (L/9h)*t = 3L - L = 2L

(5.5L/9h)*t = 2L

t = 2*(9h/5.5) = 3.27 h

After 3.27 hours, candle 2 will have 3 times the wax that candle 1 has.

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Answer:

10

Step-by-step explanation:

it is 10 I jus did it 120 =12 x x =12 10

Answer:  [tex]y=\frac{-15}{7}x-\frac{4}{7}[/tex]

Slope: -15/7

y-int:-4/7

Step-by-step explanation:

slope: rise/run

[tex]\frac{x^2-x^1}{y^2-y^1}[/tex]

[tex]\frac{-7-8}{-4-3}=\frac{-15}{-7} =\frac{-15}{7}[/tex]

thats the answer :)

~rere

The length of time needed for the dough to last if 40 pizzas is required is 4 hours.

let

l = k / p

where,

k = constant of proportionality

If l = 5 and p = 32

l = k / p

5 = k / 32

5 × 32 = k

160 = k

Find l when p = 40

l = k / p

l = 160/40

l = 4 hours

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Answer:

1 1/8 or 9/8

Step-by-step explanation:

5 1/2 - 4 3/8 = 1/ 1/8

Answer:

D

Step-by-step explanation:

without knowing anything about the background of the function and what it is used for, I give it the max. possible domain (the set or interval of all possible input values).

and so,

Defined for all m >= 0 and n >= 0.

there is no information provided that would eliminate m = 0 or n = 0.

Answer:

[tex]m = 0.664[/tex]

Step-by-step explanation:

We were given the equation: [tex]2.1 + 10m = 8.74[/tex]and we were asked to solve for m. Therefore we have to ensure m the subject of the formula.

[tex]2.1 (-2.1) + 10m = 8.74 (-2.1) \\ \\ 10m = 8.74 - 2.1 \\ \\ 10m = 6.64 \\ \\ \frac{10}{10} m = \frac{6.64}{10} \\ \\m = 0.664[/tex]

Answer: Heyaa! :D

Your Answer Is... m= 0.664

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Hopefully this helps you!

-Matthew (HAVE AN AMAZING DAY)

Answer:

The answer is 150-3

That is 147

Step-by-step explanation:

Do This

(50 x 3)-(120/40)

150-3

147 is your answer

Answer: A

Step-by-step explanation:

x^2 - 3x + 5 = 0 - quadratic equation

Standard quadratic equation form: a^2 + bx + c = 0

D = (-3)^2 - 4*1*5 = 9 - 20 = -11 (-11 < 0 => no real roots)

x1 = (3 - sqrt(-11)) / 2

x2 = (3 + sqrt(-11)) / 2

Answer:

y-5.5=0 * (x+3)

Step-by-step explanation:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

this question can be easily solved by using unitary method ~

[tex]number \: of \: pages \: he \: can \: write \: in \: 1 \: hour = 2 \frac{1}{3} \\ \\ \longrightarrow \: \frac{7}{2} \: pages \\ \\ \\ \therefore \: number \: of \: pages \: he \: can \: write \: in \: 5 \frac{1}{7} hours \\ \\ \longrightarrow \: \frac{7}{2} \times 5 \frac{1}{7} \\ \\ \longrightarrow \frac{\cancel7}{2} \times \frac{36}{\cancel7} \\ \\ \longrightarrow \: 18 \: pages[/tex]

hope helpful ~

Answer:

Surface area of rectangular prism

=P×h

=2(l+w)×h

=2(3+9)×2

=48mm²

[tex] \boxed{ \frak{Answer}}[/tex]

Given,

Length (l) = 9 mm

Breadth (b) = 3 mm

Height (h) = 2 mm

To find: The surface of it.

We, know that

Surface area of a cuboid = 2(lb + bh + lh)

By using the formula,

= 2(lb + bh + lh)

= 2(9*3 + 3*2 + 9*2)

= 2( 27 + 6 + 18)

= 2(51)

= 102 mm²

[tex] \boxed{ \frak{Keep \: Learning }}[/tex]

Answer:

Step-by-step explanation:

a) (2,-4)  and (2 , 3)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

  Distance = I -4-3 I = I -7I =  7 units

b) (-3,-2)  and  (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

     Distance = I-2 -0 I = I -2 I = 2 units

c) (1,4) and (-5,4)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I 1 - (-5) I = I 1 + 5 I = I 6 I = 6

d) (-2,0)  and (-3,0)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance = I -2 - (-3) I = I -2 + 3 I = I 1 I = 1 unit

e) (4,-6) and (4,-2)

In these two points the x-coordinate are same. So, the distance between the points are given by the absolute value of difference between the y-coordinate.

Distance = I -6 - (-2) I = I -6 + 2 I = I-4 I = 4 units

f) (5,1) and (1 , 1)

In these two points the y-coordinate are same. So, the distance between the points are given by the absolute value of difference between the x-coordinate.

Distance= I5 - 1 I =  I 4 I  = 4 units

I hope this will help you a lot..

Answer:

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).

Step-by-step explanation:

x⁶+3x⁴y⁴+xy⁶

1) df/dx=6x⁵+12x³y⁴+y⁶; d²f/dx²=30x⁴+36x²y⁴;

d²f/(dxdy)=48x³y³+6y⁵ (note, d²f/(dxdy)=d²f/(dydx) !!);

df/dy=12x⁴y³+6xy⁵; d²f/dy²=36x⁴y²+30xy⁴;

2) finally

(30x⁴+36x²y⁴)+(36x⁴y²+30xy⁴).