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Lelechka [254]
2 years ago
14

he temperature dropped 12°F in 8 hours.If the final temperature was -7°F, what was the starting temperature?

Mathematics
1 answer:
anygoal [31]2 years ago
4 0

Answer:

5°F

Step-by-step explanation:

The starting temperature is 5.

You get this answer when you add 12 to -7.

If the question is saying the temperature dropped 12°F every 8 hours then the answer would be 89°F because you multiply 12 and 8, then add 96 to -7.

Hope this helped a bit? :)

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Help me please thanks
Illusion [34]

Answer:

x axis

Step-by-step explanation:

when the sign of the y value changes, it was reflected across the x axis. if the x sign changes, it was flipped across the y axis.

5 0
2 years ago
A parallelogram has a base of 4.5 cm and an area of 9.495 cm². Tania wrote the equation 4.5x = 9.495 to represent this situation
Artist 52 [7]

Answer:

The height of the parallelogram is 2.11 cm.

Step-by-step explanation:

Area of the parallelogram is equal to multiplication of base and height.

Given:

Parallelogram has base of 4.5 cm.

Are of the parallelogram is 9.495 cm².

Equation is 4.5x=9.495

Calculation:

(a)

Are of the parallelogram is the product of base length and height of the parallelogram.

Area of the parallelogram is expressed as follow:

A=lh          

Substitute 9.495 cm² for A and 4.5 cm for l in above equation as follows:

9.495=4.5h             …… (1)

Now relate the equation (1) and given equation. So, here x is nothing but the height of the parallelogram.

(b)

From equation (1), height of the parallelogram is calculated as follows:

9.495=4.5h

h=\frac{9.495}{4.5}

h=2.11 cm

Thus, the height of the parallelogram is 2.11 cm.

5 0
3 years ago
1. (i) Express 2704 as a product of its prime factors.
lidiya [134]

Answer:

all answers below

Step-by-step explanation:

(i) 2704 = 2^4 x 13^2

(ii) as both indices (the powers) are divisible by 2, it is a perfect square.

(iii) as both indices are not divisible by 3, it is not a perfect square.

8 0
3 years ago
In a batch of 280 water purifiers, 12 were found to be defective. What is the probability that a water purifier chosen at random
aleksley [76]
This is experimental probability.

If 12 were found to be defective out of 280 the experimental probability of a purifier being defective is:

12/280 which is:

4.3%  (to nearest tenth of a percent)
6 0
3 years ago
Read 2 more answers
A particle moves so that its position vector with respect to the origin of a reference frame Oxyz is r(t)=bcos w t+bsin w t+vt k
sweet-ann [11.9K]

(i) Velocity is the rate of change of position, so if

<em>r</em><em>(t)</em> = <em>b</em> cos(<em>ω t </em>) <em>i</em> + <em>b</em> sin(<em>ω t </em>) <em>j</em> + <em>v</em> <em>t</em> <em>k</em>

then

<em>v</em><em>(t)</em> = d<em>r</em>/d<em>t</em>

<em>v</em><em>(t)</em> = -<em>b</em> <em>ω </em>sin(<em>ω t</em> ) <em>i</em> + <em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ) <em>j</em> + <em>v</em> <em>k</em>

The speed of the particle is the magnitude of the velocity, given by

|| <em>v</em><em>(t)</em> || = √[(-<em>b</em> <em>ω </em>sin(<em>ω t</em> ))² + (<em>b</em> <em>ω</em> cos(<em>ω</em> <em>t</em> ))² + <em>v</em> ²]

… = √[<em>b </em>²<em>ω </em>² + <em>v</em> ²]

(ii) The path is a helix. Suppose you zero out the <em>k</em> component. Then the path is a circle of radius <em>b</em>, and the value of <em>ω</em> determines how quickly a particle on the path traverses the circle. Now if you reintroduce the <em>k</em> component, the value of <em>v</em> will determine how far from the plane <em>z</em> = 0 the particle moves in a helical path as <em>t</em> varies.

(iii) Acceleration is the rate of change of velocity, so

<em>a</em><em>(t)</em> = d<em>v</em>/d<em>t</em>

<em>a</em><em>(t)</em> = -<em>b</em> <em>ω </em>²<em> </em>cos(<em>ω t</em> ) <em>i</em> - <em>b</em> <em>ω</em> ² sin(<em>ω</em> <em>t</em> ) <em>j</em>

3 0
3 years ago
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