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2 years ago

Eight minus the quotient of two and a number x.

Mathematics

1 answer:

san4es73 [151]2 years ago

5 0

Step-by-step explanation:

8-2÷x

it should be written like that

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A poster has an area of 432 square inches. The length x in inches is 6 inches longer than the width of the poster. Which can be

Naily [24]

The correct answer is D

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3 years ago

Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

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3 years ago

A square rug covers 79 square feet of floor. What is the approximate length of one side of the rug? (Approximate to the nearest

Degger [83]

Answer:

8.89 feet

Step-by-step explanation:

The square of the side length is 79 ft², so the side length is the square root of that:

√(79 ft²) ≈ 8.88819 ft ≈ 8.89 ft

3 0

3 years ago

Help pls!!!!!!!!!!!!!!!!!!!!,!

abruzzese [7]

Answer:

MAKE IT BIGGER

Step-by-step explanation:

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2 years ago

Find all real numbers $s$ such that $-2(s - 7) > 4s + 8$. Give your answer in interval notation.

Stolb23 [73]

Answer:

$s\in (-\infty,1)$

Step-by-step explanation:

Solve the inequality $-2(s - 7) > 4s + 8$

Use distributive property:

$-2s+14>4s+8$

Subtract 4s:

$-2s+14-4s>4s+8-4s\\ \\-6s+14>8$

Subtract 14:

$-6s+14-14>8-14\\ \\-6s>-6$

Divide by -6 (do not forget to change sign, because division by negative number changes the sign):

$s$

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3 years ago