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dolphi86 [110]
3 years ago
11

(-10) + 3 = 10 - 3 is true or false??? ​

Mathematics
1 answer:
Goshia [24]3 years ago
3 0

(-10) + 3 = -(10 - 3) = -7

10 - 3 = 7

-7 ≠ 7

<em><u>FALSE</u></em>

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How many ace of spades are in a deck of 52 playing cards
maks197457 [2]
There is only 1 ace of spades because theres only 4 aces 1 hearts 1 clubs 1 diamonds and 1 spades.

I hope this helps :)
6 0
3 years ago
Suppose `h\left(t\right)=-5t^{2}+10t+3`is an expression giving the height of a diver above the water (in meters), t seconds afte
prisoha [69]

Answer:

Step-by-step explanation:

a) The height of the springboard above the water should be h(0) : Read, the height at t = 0

h(0) = -5(0) + 10(0) + 3

h(0) = 0 + 0 + 3

h(0) = 3

a) 3 meters

b)  The time it takes the diver to hit water should be, the positive 0 solution for t.  Remember, in a quadratic equation,  there are two values for t where a parabola crosses the horizontal axis, which in this case would be t.  Just by looking at the function, h(t) = -5t2 + 10t + 3 , one should be able to see that it cannot be factored easily, so it requires the Quadratic Formula to find the zeros ; x = -b ±√(b2-4ac)  / 2a

Substitute t for x, and use the coefficients for a, b, c:

t  =  (-10 ± √((102 - 4(-5)(3)))/2(-5)

t = (-10 ±√(100 + 60))/-10

t = (-10 ±√160)/-10) ; Now factor the 160 to simplify:

t = (-10 ±√(10*16))/-10

t = (-10 ±4√10)/-10 ; Factor out leading coefficient of -2 from the numerator:

t = -2(5 ± 2√10)/-10

t = (5 ± 2√10)/5

Using a calculator to find the zeros, and disregarding the negative zero (because t starts at 0):

t ≈ 2.265

b) approx. 2.265 seconds for diver to hit water.

c) To find this, set the function equal to 3 to find what other value for t would be equal to 3 (we know one is 0).

-5tt + 10t + 3 = 3

-5t2 + 10t = 0 ; factor out t

t(-5t + 10) = 0

We know t = 0:

We also know that -5t + 10 = 0

-5t = -10

t = 2

c) 2 seconds. This is the time that diver would equal height of t=0 which is where he started, and where he equals the height of the springboard.

d and e) The peak of the dive (parabola), is determined using the formula h = -b/2a (Derived from the Quadratic Formula) to find the y value (in this case, the h value, answering e) and then using that result in the function to find the x value (in this case, the t value answering d) of the point where the parabola (dive path) reaches a maximum(height), or minimum(in upward opening parabolas).

h = -10/2(-5)

h = -10/-10

h = 1

h(1) = -5(1)2 + 10(1) + 3

h(1) = -5 + 10 + 3

h(1) = 8

d) At t = 1 second, diver will have reached peak of dive.

e) At t = 1 second, diver will have reached a maximum height of 8 meters.

5 0
2 years ago
How can you subtract mixed numbers when the fraction in the front number is less than the second fraction?
irakobra [83]
U have to find a common denominator
5 0
3 years ago
2 5/8 - 6 1/4 + 8 1/2
jek_recluse [69]

Answer:

2 5/8 - 6 1/4 + 8 1/2\

= 227 /8

Step-by-step explanation:

hope this helps :)

3 0
3 years ago
I'm really bad at math
Lynna [10]
What chapter is this?

6 0
3 years ago
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