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3 years ago

What is the value of x in the equation 4(2x + 10) = 0? −5 −7 5 7

Mathematics

2 answers:

Semenov [28]3 years ago

7 0

4(2x + 10)=0
8x + 40 = 0
8x = -40
x = -5

NeTakaya3 years ago

4 0

Answer:

-5

Step-by-step explanation:

To Solve x we can use the product rule and multiply 4 in the the brackets:

$4*(2*x+10)=0$

$8*x+40=0$

We can move the fourty to the right hand side of the equal sign and then simplify the equation by dividing the whole expression by 8:

$8*x=-40$

$x=-40/8=-5$

The value of x is -5

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Nataliya [291]

Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
$5y\sin t=\dfrac13\sin^3t+C$
$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
$C=\dfrac{134}{15}$

so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

6 0

2 years ago

Whats the radius if a basketball?

Dennis_Churaev [7]

A men's ball is about 9.55 inches (24.26 cm) in diameter and a women's ball is about 9.23 inches (23.44 cm) in diameter.

8 0

2 years ago

If a = 8 and b = 15, then c =

Anika [276]

Then c = 22 just keep adding 7
8+7=15 15+7=22

4 0

2 years ago

Find the circumference and the area of a circle with diameter 8 yd.

elena-14-01-66 [18.8K]

Answers:

area = 50.24 square yards

circumference = 25.12 yards

values are approximate

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

Work Shown:

d = 8 is the diameter

r = 4 is the radius, half the diameter

pi = 3.14 approximately

C = 2*pi*r = circumference

C = 2*3.14*4

C = 25.12 yards is the circumference. The circumference is the distance around the circle, aka the perimeter

An alternative formula you can use is C = pi*d

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

A = area of circle

A = pi*r^2

A = 3.14*4^2

A = 50.24 square yards is the area

8 0

3 years ago

Read 2 more answers

at a certain time of day, a 40 foot building casts a 8 foot shadow. how tall is a person who casts a 2 foot shadow?

lions [1.4K]

40 feet = 8 foot shadow

So in order to go from 40 to 8 you divide by 5.
So if you have a person who casts a 2 foot shadow, you have to multiply by 5.

Your answer would be 10 feet.
Hope I helped :)

7 0

2 years ago