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2 years ago

6

Is the value 5 a solution to the inequality r + 4 < 7 ?

2 answers:

docker41 [41]2 years ago

8 0

Answer:

No, i don't think so

Step-by-step explanation:

saveliy_v [14]2 years ago

7 0

Answer:

no

Step-by-step explanation:

5+4=9 which is greater than 7

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Solve the equation 6.8x + 9.3 = -9.4 + 3.4 (2-5x)

neonofarm [45]

Answer:

<h2>x = -0.5</h2>

Step-by-step explanation:

$6.8x + 9.3 = -9.4 + 3.4 (2-5x)\qquad\text{multiply both sides by 10}\\\\68x+93=-94+34(2-5x)\qquad\text{use distributive property}\\\\68x+93=-94+(34)(2)+(34)(-5x)\\\\68x+93=-94+68-170x\\\\68x+93=-26-170x\qquad\text{subtract 93 from both sides}\\\\68x=-119-170x\qquad\text{add 170x to both sides}\\\\238x=-119\qquad\text{divide both sides by 238}\\\\x=-\dfrac{119}{238}\\\\\boxed{x=-\dfrac{1}{2}}$

3 0

3 years ago

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Find the length of the curve. R(t) = cos(8t) i + sin(8t) j + 8 ln cos t k, 0 ≤ t ≤ π/4

arsen [322]

we are given

$R(t)=cos(8t)i+sin(8t)j+8ln(cos(t))k$

now, we can find x , y and z components

$x=cos(8t),y=sin(8t),z=8ln(cos(t))$

Arc length calculation:

we can use formula

$L=\int\limits^a_b {\sqrt{(x')^2+(y')^2+(z')^2} } \, dt$

$x'=-8sin(8t),y=8cos(8t),z=-8tan(t)$

now, we can plug these values

$L=\int _0^{\frac{\pi }{4}}\sqrt{(-8sin(8t))^2+(8cos(8t))^2+(-8tan(t))^2} dt$

now, we can simplify it

$L=\int _0^{\frac{\pi }{4}}\sqrt{64+64tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{1+tan^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8\sqrt{sec^2(t)} dt$

$L=\int _0^{\frac{\pi }{4}}8sec(t) dt$

now, we can solve integral

$\int \:8\sec \left(t\right)dt$

$=8\ln \left|\tan \left(t\right)+\sec \left(t\right)\right|$

now, we can plug bounds

and we get

$=8\ln \left(\sqrt{2}+1\right)-0$

so,

$L=8\ln \left(1+\sqrt{2}\right)$ ..............Answer

5 0

3 years ago

Find the area and perimeter. Stuck on this one need help

masya89 [10]

9514 1404 393

Answer:

area: 114 square units
perimeter: 44 units

Step-by-step explanation:

The figure is a trapezoid with bases 12 and 7, and a height of 12. The area formula is ...

A = (1/2)(b1 +b2)h

A = (1/2)(12 +7)(12) = 114 . . . square units area

__

The length of side AB can be found using the distance formula:

d = √((x2 -x1)^2 +(y2 -y1)^2)

d = √((6 -(-6))^2 +(1 -6)^2) = √(144 +25) = 13

The sum of the side lengths is then ...

13 +7 +12 +12 = 44 . . . units perimeter

8 0

3 years ago

State whether the indicated angles are Complementary, Supplementary, adjacent, vertical, or form a linear Pair.

ozzi

Answer:

Attached is the image to help you find the answer.

8 0

3 years ago

Is a home loan an example of closed end credit

irina [24]

I believe that it is an example

6 0

3 years ago

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