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3 years ago

10

Jo has an appointment at 3pm. She has to travel 21 miles and will drive at an average speed of 30 mph. To arrive exactly on time

, what time should she leave? Give your answer as a time on the 24-hour clock

1 answer:

GREYUIT [131]3 years ago

5 0

2:18pm

21/30*60=42min trip

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Suppose that, for a set of data, the range is x and the interquartile range is y. Which statement MUST be true? A) x = y B) x ≤

Vitek1552 [10]

c i suppose the answer

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3 years ago

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Is a function that is not continuous

stepan [7]

It appears that your answer contains either a link or inappropriate words. Please correct and submit again!

Answer:

See below. The answer is incomplete, I couldn't post it.

Step-by-step explanation:

Considering a function $f$ , it is said to be discontinuous when it has a hole or breaks, it means places where $f(x)$ cannot be evaluated. For example, when the denominator equals to 0, it is not defined.

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3 years ago

Which recursive formula can be used to generate the sequence shown, where f(1) = 5 and n > 1?

Degger [83]

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Step-by-step explanation:

Recursive formula is the formula that is used to generate the next term of a sequence using previous term.

The general form of arithmetic sequence's recursive formula is:

$a_n = a_{n-1}+d$

Given

5,-1,-7,-13,-19

Here

$a_1 = 5\\a_2 = -1\\a_3 = -7$

First of all we have to find the common difference of the sequence.

So,

$d = a_2 -a_1 = -1-5 = -6\\d = a_3-a_2 = -7+1 = -6$

Putting the value of d in the general recursive formula

$a_n = a_{n-1}-6$

Hence,

The recursive formula $a_n = a_{n-1}-6$ can be used to generate the shown sequence

Keywords: Sequence, arithmetic sequence

Learn more about arithmetic sequence at:

#LearnwithBrainly

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3 years ago

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4x+(x-y/8)=17 and 2y+x-(5y+2/4)=2 by using elimination method

vladimir2022 [97]

Answer:

x=811/238, y=36/119. (811/238, 36/119).

Step-by-step explanation:

4x+(x-y/8)=17

2y+x-(5y+2/4)=2

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

4x+x-y/8=17

5x-y/8=17

40x-y=136

y=40x-136

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

2y+x-5y-2/4=2

2y-5y+x-1/2=2

-3y+x=2+1/2

-3y+x=4/2+1/2

-3y+x=5/2

-3(40x-136)+x=5/2

-120x+408+x=5/2

-119x=5/2-408

-119x=5/2-816/2

-119x=-811/2

119x=811/2

x=(811/2)/119

x=(811/2)(1/119)=811/238

y=40(811/238)-136

y=16220/119-136

y=36/119

x=811/238, y=36/119.

4 0

3 years ago

1)a chord of length 18cm midway the radius of a circle. calculate the radius of the circle correct to 1d.p. 2)if two parallel ch

kykrilka [37]

Part 1:

Given that the length of the chord is 18 cm and the chord is midway the radius of the circle.

Thus, half the angle formed by the chord at the centre of the circle is given by:

$\cos\theta=\frac{\left( \frac{1}{2} r\right)}{r}= \frac{1}{2} \\ \\ \Rightarrow\theta=\cos^{-1}\left( \frac{1}{2} \right)=60^o$

Now,

$\sin60^o= \frac{9}{r} \\ \\ \Rightarrow r= \frac{9}{\sin60^o} =10.392$

Therefore, the radius of the circle is 10.4 cm to 1 d.p.

Part 2I:

Given that the radius of the circle is 10 cm and the length of chord AB is 8 cm. Thus, half the length of the chord is 4cm. Let the distance of the mid-point O to /AB/ be x and half the angle formed by the chord at the centre of the circle be θ, then

$\sin\theta= \frac{4}{10} = \frac{2}{5} \\ \\ \theta=\sin^{-1}\left( \frac{2}{5} \right)=23.6^o$

Now,

$\cos23.6^o= \frac{x}{10} \\ \\ \Rightarrow x=10\cos23.6^o=9.165\approx9.2cm$

Part 2II:

Given that the radius of the circle is 10cm and the angle distended is 80 degrees. Let half the length of chord CD be y, then:

$\sin40^o= \frac{y}{10} \\ \\ \\ \Rightarrow y=10\sin40^o=6.428$

Thus, the length of chord CD = 2(6.428) = 12.856 which is approximately 12.9 cm.

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3 years ago