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3 years ago

What is -45=-6 (-4+3f)

Mathematics

2 answers:

cupoosta [38]3 years ago

8 0

-45=-6(-4+3f)
-45=24+18f
-69=18f
f= -23/6 or -3.83

Anna71 [15]3 years ago

4 0

3.38 hope this helps

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My Notes The displacement from equilibrium of an oscillating weight suspended by a spring is given by y(t) = 1 4 cos(5t) where y

ikadub [295]

Answer:

y(0) = 0.25 feet

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

Step-by-step explanation:

We are given the following information in the question:

The displacement from equilibrium of an oscillating weight suspended by a spring =

$y(t) = \displaystyle\frac{1}{4} \cos(5t)$

where y is the displacement in feet and t is the time in seconds.

Here, cos is in radians.

1) t = 0

$y(0) = \displaystyle\frac{1}{4} \cos(5(0)) = \frac{1}{4} \cos(0) = \frac{1}{4}(1) = \frac{1}{4}$

y(0) = 0.25 feet

2) t = $\frac{1}{4}$

$y(\displaystyle\frac{1}{4}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{4})) = \frac{1}{4} \cos(1.25) = \frac{1}{4}(0.31532236) =0.07883059$

$y(\frac{1}{4}) = 0.0789 \text{ feet}$

3) t = $\frac{1}{2}$

$y(\displaystyle\frac{1}{2}) = \displaystyle\frac{1}{4} \cos(5(\frac{1}{2})) = \frac{1}{4} \cos(2.5) = \frac{1}{4}(-0.80114362) = -0.200285905$

$y(\frac{1}{2}) =-0.2003 \text{ feet}$

The negative sign indicates the opposite direction of displacement.

3 0

3 years ago

Please answer this question now in two minutes

bezimeni [28]

Answer:

ray UV and ray UT

Step-by-step explanation:

The sides are the rays that make up the angle

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3 years ago

Log4(x)+log4(x+15)=2

Scrat [10]

$D:x>0 \wedge x+15>0\\
D:x>0 \wedge x>-15\\
D:x>0\\\\
\log_4x+\log_4(x+15)=2\\
\log_4x(x+15)=2\\
4^2=x(x+15)\\
16=x^2+15x\\
x^2+15x-16=0\\
x^2-x+16x-16=0\\
x(x-1)+16(x-1)=0\\
(x+16)(x-1)=0\\
x=-16 \vee x=1\\
-16\not \in D \Rightarrow \boxed{x=1}$

7 0

3 years ago

Read 2 more answers

Simplify 8 to the power of P times 3

elixir [45]

Answer: 24^p

Step-by-step explanation:

8 ^p x 3

To simplify the above, multiply the whole numbers

8 x 3 = 24

24^p

5 0

3 years ago

100 students were estimated at a

Alina [70]

Answer:

20%

Step-by-step explanation:

Use the formula:

The "|" symbol represents absolute value and the dashed line represents a division line.

| Theoretical Value - Actual Value |

Percent Error = -------------------------------------------------- × 100

| Theoretical value |

100 students is the theoretical value

120 students is the actual value

100 - 120 = -20

-20 / 100 = -0.2

|-0.2| = 0.2

0.2 × 100 = 20

The answer is 20%

7 0

2 years ago