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pochemuha
3 years ago
5

What is the absolute of -32

Mathematics
2 answers:
luda_lava [24]3 years ago
8 0
The answer is 32 because on a number line it is the distance between the number and zero.
Ganezh [65]3 years ago
6 0
Any absolute negative number will come back as the same number itself but positive !:)
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A force F1 of magnitude 6.00 units acts at the origin in a direction 30.0 above the positive x axis. A second force F2 of magnit
kumpel [21]
F1 = 6*cos(30) i + 6*sin(30) j = 5.20 i + 3 j 
<span>F2 = 0 i + 5 j </span>

<span>R = F1 + F2 </span>
<span>Add the 'i's together (x direction) and the 'j's together (y direction) </span>
<span>R = (5.20 + 0) i + (3 + 5) j = 5.2 i + 8 j </span>

<span>Magnitude: </span>
<span>||R|| = </span>√<span>(5.2^2 + 8 ^2) = </span>√<span>91 = 9.54 </span>

<span>Direction: </span>
Θ<span> = atan ( Rj / Ri ) = atan( 8 / 5.2 ) = 57.0</span>⁰
5 0
3 years ago
Round final answers to 3 decimal places.
irina [24]

There are 651.335 million cells in the petri dish after 11 hours and the cells will reach 1 billion cells after 14.068 hours

<h3>How to determine the number of cells after 11 hours?</h3>

The given parameters are:

At t = 0, Bacteria = 140 million

At t = 6, Bacteria = 320 million

This can be represented as:

f(0) = 140

f(6) = 320

An exponential function is represented as:

f(t) = f(0) * r^t

When t = 6, we have:

320 = 140 * r^6

Divide both sides by 140

r^6 = 2.28571428571

Take the 6th root of both sides

r = 1.15

So, we have:

f(t) = f(0) * 1.15^t

Substitute f(0) = 140

f(t) = 140 * 1.15^t

After 11 hours, we have:

f(11) = 140 * 1.15^11

Evaluate

f(11) = 651.33

Hence, there are 651.335 million cells in the petri dish after 11 hours

Time to reach 1 billion cells

This means that

f(t) = 1 billion i.e. 1000 million

So, we have:

1000 = 140 * 1.15^t

Divide by 140

1.15^t = 7.14285714286

Take the logarithm of both sides

t * log(1.15) = log(7.14285714286)

Divide both sides by log(1.15)

t = 14.068

Hence, the cells will reach 1 billion cells after 14.068 hours

Read more about exponential functions at:

brainly.com/question/2456547

#SPJ1

6 0
2 years ago
Segments
Kazeer [188]

Given

AB  and  CD  intersect

AC,  CB,  BD  and  AD  are congruent.

Prove that AB  is the bisector of ∠CAD and ray  CD  is the bisector of ∠ACB.

and AB  and  CD  are perpendicular.

To proof

Bisector

<em>A bisector is that which cut an angle in two equal parts.</em>

In ΔACB and ΔADB

AD = AC  ( Given )

AB = AB   ( common )

BC = DB  ( Given )

by SSS congurence property

we have

ΔACB ≅ΔADB

∠CAB =∠ DAB

∠CBA = ∠DBA

( By corresponding sides of the congurent triangle )

Thus AB is the bisector of the ∠CAD.

InΔ DAC and ΔDBC

AD = DB (Given)

AC = CB  ( Given )

CD = CD (common)

By SSS congurence property

ΔDAC≅ Δ DBC

∠  ACD =∠ BCD

∠ADC =∠BDC

( By corresponding sides of the congurent triangle )

Therefore CD is the bisector of the CAD.

In ΔBOC andΔ BOD

BO = BO ( Common )

∠BCO = ∠BDO

( As prove above ΔACB ≅ΔADB

Thus ∠ACB = ∠ADB by corresponding sides of the congurent triangle , CD is a bisector

∠BCO = ∠BDO )

 CB = DB ( given )

by SAS congurence property

ΔBOC ≅ ΔBOD

∠BOC =∠ BOD

∠BOC +∠ BOD = 180 °( Linear pair )

2∠ BOC = 180°

∠BOC = 90°

∠BOC =∠ BOD = 90°

also

In ΔCOA and ΔAOD

AO = AO ( Common )

∠ACO =∠ ADO

(  As prove above ΔACB ≅ΔADB Thus ACB = ADB by corresponding sides of congurent triangle ,CD is a bisector

thus  ∠ACO = ∠ADO )

AC =AD ( given )

by SAS congurence property

Δ COA ≅ ΔAOD

∠AOC = ∠AOD

( By corresponding angle of corresponding sides )

∠AOC + ∠AOD = 180°

2∠ AOC = 180°   ( Linear pair )

∠AOC = 90°

∠AOC = ∠AOD = 90 °

Thus AB  and  CD  are perpendicular.

Hence proved









   


 



6 0
3 years ago
Please answer this 18-34+49×200÷2​
Kazeer [188]
4884

.................
7 0
3 years ago
Age of each person in Kidz Zone
joja [24]

Answer:

10-15

Step-by-step explanation:

Median is the middle of the numbers (or in this case, number sets)

The middle number set is the third.

Thus, the interval would be 10-15.

7 0
3 years ago
Read 2 more answers
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