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2 years ago

Helpp me with this word problem number one

Mathematics

1 answer:

Ymorist [56]2 years ago

6 0

In order to find out how long it is you need to convert the fractions into mixed fractions then multiply.
4 1/3 x 6 1/2 =
13/3 x 13/2 = 169/6
169 divided by 6 = 28 1/6

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Jane is the regional manager of Graphic DesignWorks. She uses a company

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The answer is D. $3200

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2 years ago

Find all solutions to the equation in the interval [0, 2pi). COS X = sin 2x

Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos x=sin 2x

sin 2x-cos x=0

2 sin x cos x-cos x=0

cos x(2 sin x-1)=0

either cos x=0

$x=\frac{\pi }{2},\frac{3\pi }{2}$

2 sin x-1=0

$sin x=\frac{1}{2} =sin (\frac{\pi }{6}),sin(\pi -\frac{\pi }{6} )\\x=\frac{\pi }{6} ,\frac{5 \pi }{6}$

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2 years ago

The position function for a free-falling object is s(t) = -16t^2 + vt +5. A ball is thrown upward from the top of a 400-foot bui

mixer [17]

Answer:

6.21 seconds

Step-by-step explanation:

The position function of a free-falling object is,

$s(t) = -16t^2+v_0t+s_0$

Where,

$s_0$ = initial height of the object,

$v_0$ = initial velocity of the object,

Here,

$s_0=400\text{ feet}$

$v_0=35\text{ feet per sec}$

Hence, the height of the ball after t seconds,

$s(t)=-16t^2+35t+400$

When s(t) = 0,

$\implies -16t^2+35t+400=0$

$t=\frac{-35\pm \sqrt{35^2-4\times -16\times 400}}{2\times -16}$

$t=\frac{-35\pm \sqrt{1225+25600}}{-32}$

$\implies t\approx -4.02\text{ or }t\approx 6.21$

∵ Time cannot be negative,

Hence, after 6.21 seconds the ball will reach the ground.

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2 years ago

Which expression shows that the quotient

Harrizon [31]

Answer:

Option (2)

Step-by-step explanation:

Given expression is $\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

We further simplify this expression,

$\frac{2}{(3x-1)}$ ÷ $\frac{6}{6x-1}$

= $\frac{2}{(3x-1)}\times \frac{6x-1}{6}$

= $\frac{6x-1}{3(3x-1)}$

= $\frac{6x-1}{(9x-3)}$

Therefore, $\frac{6x-1}{(9x-3)}$ will be the quotient of the given expression.

$x\neq \frac{1}{3}$ and $x\neq \frac{1}{6}$ for which the given expression is not defined.

Option (2) will be the answer.

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3 years ago

1. ONE AND TWO HUNDREDTHS AS A DÉCIMAl AND FRACTION

astraxan [27]

Answer:

1.02 as a decimal

1 and 1/50 as a fraction

Step-by-step explanation:

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2 years ago