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sasho [114]
3 years ago
7

The temperature in the late afternoon

Mathematics
2 answers:
Fantom [35]3 years ago
6 0

Answer:

-7.5 - (8.5 + 5)

Step-by-step explanation:

We just add together the values of how much it dropped at different parts of the day, and subtract them from what we started with. The parenthesis are important cause we want to know what the total temperature drop for the day was before we subtract it to get the actual temperature we end up with.

Crazy boy [7]3 years ago
6 0

Answer:

T= - 5°C - 8.5°C = -13.5°C

Step-by-step explanation:

The initial temperature in the late afternoon was -7.5°C.

It dropped 5 degrees by early evening and then dropped 8.5 degrees by midnight.

Change in temperature (in evening) = -5°C

Change in temperature (in midnight) = -8.5°C

Here negative sign represents the decrease in the temperature.

Let T be the total change in the temperature.

So, total change in the temperature is

T = - 5°C - 8.5°C

T = 13.5°C

Therefore, the required equation is T = - 5°C - 8.5°C = 13.5°C.

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Amir stands on a balcony and throws a ball to his dog, who is at ground level.
Bumek [7]

Answer:

16 meters

Step-by-step explanation:

The height function is given by:

h(x)=-(x+1)(x-7)\\h(x)=-(x^2+x-7x-7)\\h(x)=-x^2+6x+7

The value of x, in seconds, for which the derivate of the height function is zero, is the time at which the maximum height occurs:

\frac{dh(x)}{dx}= h'(x)=-2x+6=0\\x=3

For x = 3 seconds, the height is:

h(3)=-(3^2)+6*3+7\\h(3)=16\ m

The maximum height that the ball will reach is 16 meters.

6 0
3 years ago
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A savings bank invests $58,800 in municipal bonds and earns 12% per year on the investment. How much money is earned per year?
seraphim [82]
To find the answer we simply have to find 12% of 58,800. So to do that, we can multiply it by .12

58,800 • .12 = 7,056

So $7,056 is earned per year
5 0
3 years ago
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Find the additive inverse of each linear expression<br> 1. 3x - 6<br> 2. -9x + 3<br> 3. -4x -8
lubasha [3.4K]

Step-by-step explanation:

G(x) = 2/3 x - 6     switch x and y around and solve for y.

y = 2/3 x - 6

x = 2/3 y - 6

x + 6 = 2/3 y

3/2  x + 9 = y

4 0
3 years ago
Write the equation of the line in slope-intercept form that has: slope: -1 and point: (1, 1)
lara31 [8.8K]

Answer:

f(x) = -1x + 1

Step-by-step explanation:

f(x) = mx + b

the equation above is slope intercept form. in order to make it you need a slope and a y intercept. you were given the slope, so now you need a y intercept. but where would you find that???  look no farther than the point you were given, (1,1). the y intercept is the second number in the parentheses. next you take your slope and your y-intercept and place them in.

f(x) = -1x + 1

hope i could help

3 0
2 years ago
The equation of line L is y=5x+1
vovikov84 [41]

Answer:

see explanation

Step-by-step explanation:

Parallel lines have equal slopes.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

L₁ is y = 5x + 1 ← in slope- intercept form

with slope m = 5

L₂ is 2y - 10x + 3 = 0 ( subtract - 10x + 3 from both sides )

2y = 10x - 3 ( divide all terms by 2 )

y = 5x - \frac{3}{2} ← in slope- intercept form

with slope m = 5

Since L₁ and L₂ have equal slopes then they are parallel lines

3 0
2 years ago
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