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Tanya [424]
3 years ago
11

cheryl says that when you add two negative numbers, the sum is always negative. is Cheryl's statement true of false?

Mathematics
2 answers:
fenix001 [56]3 years ago
8 0

Answer:true

Step-by-step explanation:It’s because anytime a negative number is added by another negative number the result is always negative.

Andrews [41]3 years ago
5 0

Answer:

wwo

Step-by-step explanation:

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1) If y = x3 + 2x and dx/ dt = 5, find dy/dt when x = 2. Give only the numerical answer. For example, if dy, dt = 3, type only 3
Semenov [28]

Answer:

a) 70

b) 10π ft²/ft

c) 0.24 ft/sec

Step-by-step explanation:

1) y = x³ + 2x

\frac{dy}{dt}=\frac{d(x^3+2x)}{dt}

or

\frac{dy}{dt} = 3x^2\frac{dx}{dt}+2\frac{dx}{dt}

at \frac{dx}{dt}=5  and x = 2

\frac{dy}{dt} = 3(2)^2\times(5)+2\times(5)

or

\frac{dy}{dt} = 60 + 10 = 70

2) A = πr² ft²

\frac{dA}{dr}=\frac{d(\pi r^2)}{dr}

or

\frac{dA}{dr}= 2(πr)

at r = 5 ft

\frac{dA}{dr}= 2(π × 5) ft²/ft

or

\frac{dA}{dr}= 10π ft²/ft

3) From Pythagoras theorem

Base² + Perpendicular² = Hypotenuse²

Thus,

B² + P² = H²  .............(1)

here, H = length of the ladder

P is the height of the wall

B is the distance from the wall at bottom

or

B² + P² = 25²       ...........(1)  

at B = 20 ft

20² + P² = 25²        

or

P² = 625 - 400

or

P = √225

or

P = 15 ft

differentiating (1) with respect to time, we get

2B\frac{dB}{dt}+2P\frac{dP}{dt}=0

at B = 20 ft, \frac{dB}{dt} = 0.18 and P = 15 ft

⇒ 2(20)(0.18) + 2(15)\frac{dP}{dt} = 0

or

30\frac{dP}{dt} = - 7.2

or

\frac{dP}{dt} = - 0.24 ft/sec (Here negative sign depicts the ladder slides down)

7 0
4 years ago
Which shows the expression below in simplified form? (5 × 10^5) × (7 × 10^-5)
katrin [286]

Answer:1,750,000,000

Step-by-step explanation:first the number ten to the fifth power is 1,000,000 then times five is 5,000,000. Then the number ten to the negative fifth power is 50 times seven is 350. 5,000,000 times 350 is 1,750,000,000

4 0
3 years ago
Put these in order below are exactly divisible by 9?<br><br> 119 702 432 641 372
KiRa [710]
119 ÷ 9 = 13 2/9
702 ÷ 9 = 78
432 ÷ 9 = 48
641 ÷ 9 = 71 2/9
372 ÷ 9 = 41 3/9 ⇒ 41 1/3

702 and 432 are divisible by 9. The rest are not. 


7 0
4 years ago
I need help with these :3 thx
yawa3891 [41]
Y = mx + b
where m is the slope and b is the y-intercept.

1. 2x + 3y = 12
3y = -2x + 12
y = -2x + 4
y-intercept is 4

2. x - 4y = 20
-4y = -x + 20
y = -x - 5
y-intercept is 5

3. y = 2x - 9
this one is easy because it's already in standard form
y-intercept is -9
8 0
3 years ago
I NEED HELP FAST!! can someone please answer these questions for me!
elixir [45]

Answer:

i dont know im sorry , give me 10 minites

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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