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3 years ago

Help me solve for the variable -12r + 4 = 100 r=

Mathematics

1 answer:

torisob [31]3 years ago

7 0

Answer:

-8

Step-by-step explanation:

-12r+4=100

100-4=96

-12r=96

96/-12=-8

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For each sequence, find the first 4 terms and the 10th term.<br> a) 3n + 4<br> b) 4n-5

Studentka2010 [4]

Answer:

see explanation

Step-by-step explanation:

To find the first 4 terms substitute n = 1, 2, 3, 4 into the formula, that is

(a)

a₁ = 3(1) + 4 = 3 + 4 = 7

a₂ = 3(2) + 4 = 6 + 4 = 10

a₃ = 3(3) + 4 = 9 + 4 = 13

a₄ = 3(4) + 4 = 12 + 4 = 16

Similarly substitute n = 10 for tenth term

a₁₀ = 3(10) + 4 = 30 + 4 = 34

(b)

a₁ = 4(1) - 5 = 4 - 5 = - 1

a₂ = 4(2) - 5 = 8 - 5 = 3

a₃ = 4(3) - 5 = 12 - 5 = 7

a₄ = 4(4) - 5 = 16 - 5 = 11, and

a₁₀ = 4(10) - 5 = 40 - 5 = 35

5 0

3 years ago

Use green’s theorem to evaluate

Georgia [21]

By Green's theorem (all the conditions are met), we have

$\displaystyle \int_C \sqrt y \, dx + \sqrt x \, dy = \iint_D \frac{\partial(\sqrt x)}{\partial x} - \frac{\partial(\sqrt y)}{\partial y} \, dx \, dy$

where D is the interior of the path C, or the set

$D = \left\{ (x, y) : 0 \le y \le \dfrac{x^2}2 \text{ and } 0 \le x \le 2 \right\}$

So, the line integral reduces to the double integral,

$\displaystyle \frac12 \int_0^2 \int_0^{\frac{x^2}2} x^{-\frac12} - y^{-\frac12} \, dy \, dx$

$\displaystyle = \frac12 \int_0^2 x^{-\frac12}\left(\frac{x^2}2\right) - 2\left(\frac{x^2}2\right)^{\frac12} \, dx$

$\displaystyle = \frac12 \int_0^2 \frac12 x^{\frac32} - \sqrt 2 \, x \, dx$

$\displaystyle = \frac14 \int_0^2 x^{\frac32} - 2\sqrt 2 \, x \, dx$

$\displaystyle = \frac14 \left(\frac25\cdot2^{\frac52} - \sqrt2\cdot2^2\right) = \boxed{-\frac{3\sqrt2}5}$

5 0

2 years ago

BRAINLIEST AND 30 POINTS COME QUICK SO YOU GET IT!

gulaghasi [49]

Tbh this a a hard equation buh if I have to answer I would go with the 3rd one

8 0

3 years ago

Read 2 more answers

A canvas wind shelter like the one at right is to be built for use along parts of the Guadalupe River. It is to have a back, two

ipn [44]

A = 2 a² + 2 a b
2 a² + 2 a b = 147/2
a² + a b = 36.75
a b = 36.75 - a²
b = ( 36.75 - a² ) / a
V = a² * b
V = a² * ( 36.75 - a² ) / a
V = 36.75 a - a³ ( maximum of the volume is when V` = 0 )
V` = 36.75 - 3 a²
36.75 - 3 a² = 0
3 a² = 36.75
a² = 36.75 : 3
a² = 12.25
a =√12.25
a = 3.5 ft
b = 24.5 / 3.5 = 7 ft.
Answer: The depth of the shelter for which the space inside is maximized is 3.5 ft.

7 0

3 years ago

How do i answer this question?

igomit [66]

Answer:

its a=bh

Step-by-step explanation:

8 0

3 years ago