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Anni [7]
3 years ago
10

Why is - t - 3 written as 3 - t? Is it wrong if it is left as -t -3?

Mathematics
1 answer:
Eddi Din [679]3 years ago
4 0

-t-3 and 3-t are not the same since t-3 would result in a negative answer since both -t and -3 are negative. While in t-3 t is positive and -3 is negative. it is wrong if its left as t-3 since -t-3=3-t is false.

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1. Find the phase shift of the function y = 5cos(2x + pi/2).
kolezko [41]

Answer:

see explanation

Step-by-step explanation:

1

The cosine function in standard form is

y = acos(bx + c)

where a is the amplitude, period = \frac{2\pi }{b} and

phase shift = - \frac{c}{b}

here b = 2 and c = \frac{\pi }{2}, thus

phase shift = - \frac{\frac{\pi }{2} }{2} = - \frac{\pi }{4}

2

the amplitude = | a |

which has a maximum of a and a minimum of - a

y = 4cosx ← has a maximum value of 4

5 0
3 years ago
Suppose there are two circles where the radius of one circle is twice the radius of the other circle. Each circle has an arc whe
Artemon [7]

Answer:

L=2l where l,L denote arc lengths of two circles

Step-by-step explanation:

Let l,L denote arc lengths of two circles, r,R denote corresponding radii and

\alpha _1\,,\alpha _2 denote the corresponding central angles.

So,

l=r\alpha _1 and L=R\alpha _2

This implies \alpha _1=\frac{l}{r} and \alpha _2=\frac{L}{R}

As each circle has an arc where the measures of the corresponding central angles are the same, \alpha _1=\alpha _2

\frac{l}{r}=\frac{L}{R}

As radius of one circle is twice the radius of the other circle,

R=2r

\frac{l}{r}=\frac{L}{2r}\\\frac{l}{1} =\frac{L}{2}\\L=2l

7 0
2 years ago
At the candy store there are 420 gumdrops and 280 chocolate bars, for a total of 700 candies all together. What is the ratio of
Mekhanik [1.2K]

Answer:

5 : 2

Step-by-step explanation:

Given that:

Number of gumdrops = 420

Number of chocolate bars = 280

Total Number of candies = 700

To find:

The ratio of candies to chocolate bars = ?

Solution:

First of all, let us discuss the method to find the ratio of any two quantities.

Suppose, we need to find the ratio of two numbers p and q.

Then to find the ratio p:q , we need to divide p by q and represent it in the simplest form \frac{a}{b} such that a and b can not be divided further.

Here, to find the ratio of candies to chocolate bar:

Ratio = \dfrac{\text{Number of candies}}{\text{Number of chocolate bars}}\\\Rightarrow \dfrac{700}{280}

Here, we can simplify the fraction by dividing the numerator and denominator by 10 first:

\dfrac{70}{28}

Now, let us divide the numerator and denominator by 14:

\dfrac{5}{2}

So, the ratio is <em>5 : 2</em>

6 0
2 years ago
Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manuf
7nadin3 [17]

Answer:

See explanation below

Step-by-step explanation:

Here, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour.

a) The alternative and null hypotheses would be:

H0: μ ≥ 220

Ha: μ < 220

b) Comment on the conclusion when H0 cannot be rejected:

When we fail to reject the null hypothesis H0, there is not enough evidence to conclude that the mean cost can be reduced from $220. Therefore the manager's proposed method cannot be implemented.

c) Comment on the conclusion when H0 can be rejected:

When the null hypothesis, H0 is rejected, there is enough evidence to conclude that the mean cost can be reduced from from $220. Therefore the manager's proposed method can be implemented.

3 0
3 years ago
At the movie theatre, child admission is $6.40 and adult admission is $9.70. On Monday, 155 tickets were sold for a total sales
Molodets [167]
Less than or equal to 121 adult tickets.


You would do 1180.10/9.70
 

Which equals 121


Since we don't know how many children tickets were, sold it could be less than or equal to 121.
3 0
3 years ago
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