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ankoles [38]
3 years ago
15

Solve each equation 18=20+p Show work please!

Mathematics
1 answer:
umka21 [38]3 years ago
5 0
P = -2 because you have to subtract 20 from each side.
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Evaluate this exponential expression.
Levart [38]

Answer:

(-27)^\dfrac{2}{3} = 9

Step-by-step explanation:

Given that,

Asn expression : (-27)^\dfrac{2}{3}

We need to evaluate the above expression.

We know that, (-3)^3=-27

So,

(-27)^\dfrac{2}{3}=(-3)^{3\times \dfrac{2}{3}}

or

=(-3)^2\\\\=-3\times -3\\\\=9

So, the value of (-27)^\dfrac{2}{3} is 9. Hence, the correct option is (b).

8 0
3 years ago
A radar gun was used to record the speed of a swimmer (in meters per second) during selected times in the first 2 seconds of a r
Natalka [10]
Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]

the area of each trapezoid is (v(t1)+v(t2))/2 times width

for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8

2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24

3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75

4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7

add them all up
0.8+2.24+1.75+0.7=5.49

5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
8 0
3 years ago
95. Because atoms, molecules, and ions are very small, they are counted in units of moles, where 1 mole = 6.022 × 1023 molecules
Galina-37 [17]

Answer:

There are 10⁻⁷ hydrogen ions in one-liter water

Step-by-step explanation:

Hi there!

a. If the pH = 7.0, then:

-log(H) = 7.0

multiply both sides of the equation  by -1

log(H) = -7.0

Apply 10ˣ to both sides

10^(log (H)) = 10⁻⁷

(H) = 10⁻⁷

There are 10⁻⁷ hydrogen ions in one-liter water.

Why 10^(log (H)) = (H)?

Let´s consider this function:

y = 10^(log x)

(Apply log to both sides)

log y = log 10^(log x)

(Apply logarithmic property: log xᵃ = a · log x)

log y = log x · log 10

(log 10 = 1)

log y = log x

y = x

(since y =  10^(log x) and y = x):

10^(log x) = x

That´s why 10^(log (H)) = (H)

7 0
3 years ago
:).....................;(
BartSMP [9]
Why now :cccccccccccccccccc
5 0
3 years ago
Read 2 more answers
5. a. Three metal rods of lengths 234cm, 270cm and 324cm were cut into shorter pieces, all of the same length to make window gri
neonofarm [45]

Answer:

Step-by-step explanation:

you find the L.C.M

18 234 270 324

 13 13 15 18

3 1 15 18

 5 1 5 6

 6 1 1

 1 1 1 ans=18×13×3×5×6=21060

5 0
2 years ago
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