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3 years ago

15

Which expressions are equivalent to the one below? Check all that apply. logg 5 + logs 125

1 answer:

expeople1 [14]3 years ago

4 0

The answer is 130 logs

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How do you do prime factorisation for 48/72?

Mrac [35]

48:
48/2 = 24 24/2 = 12 12/2 = 6 6/2 = 3
We can not divide by 2, but we can divide by 3: 3/3 = 1
That's as far as we go. So I divided by 2 four times and once by 3: Therefore: 48 = 2 * 2 * 2 * 2 * 3
Now we take 72
72 / 2 = 36 36 / 2 = 18 18 / 2 = 9 Nine is not divisible by 2, but it is by 3, so: 9 / 3 = 3 3 / 3 = 1
That's as far as we can go. I divided by 2 three times and by 3 two times. Therefore 72 = 2 * 2 * 2 * 3 * 3 So, taking the bigger picture:
<span><span>4872</span>=<span><span>2∗2∗2∗2∗3</span><span>2∗2∗2∗3∗3</span></span></span> Now three two's cancel out and one three cancels out and we get <span>2\3
answer=2\3</span> <span>
</span>

5 0

3 years ago

Read 2 more answers

A state park is designed in a circular pattern as shown. Martha rides her bike along the circular path from the ranger station t

Alex Ar [27]

C. 2.3 miles

Step-by-step explanation:

The details of the image are as follows;

Ranger station to Nature Center = 90°

Nature center to petting zoo= 40°

Petting zoo to Tennis court =120°

Tennis court to Pool = 65°

Pool to Ranger station= 45°

The radius of the circular pattern = 1 mile

The formula to apply is;

Arc length = 2πr angle / 360° where r is radius and π=3.14

Finding arc length from Ranger Station to Nature Center will be;

Arc length = 2×3.14×1×90°/360°

Arc length=2×3.14×1×1/4 =1.57 miles

Finding distance from Nature Center to Petting Zoo

Arc length= 2×3.14×1×40°/360°

Arc length= 2×3.14×1×1/9 = 0.70 miles

Total =1.57+0.70 =2.27 miles

Answer to the nearest hundredth = 2.3 miles

Learn More

Arc length : brainly.com/question/11692709

Keywords : circular , pattern, path, hundredth

#LearnwithBrainly

4 0

3 years ago

3(r-6)+2=4(r+2)-21 find the value of x and show steps

MAXImum [283]

3(r-6) +2 = 4(r+2) -21
3r - 6r +2 = 4r +8 -21
-3r +2 = 4r -13
2 = 7r -13
15 = 7r
r = $\frac{15}{2}$
r = 7.5

7 0

3 years ago

67% as a fraction in simplest form

CaHeK987 [17]

It's 67/100 because a percent is out of 100 which is already simplified

6 0

4 years ago

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Please Help Me!!!!! The displacement of a particle d (in km) as a function of time t (in hours) is given by: d(t) = 2t^3 + 5t^2

seraphim [82]

Answer:

Step-by-step explanation:

hello,

for t = 4 hours

$d(4)=24^3+54^2-3=2*64+5*80-3=128+80-3=205$

this is 205 km

d is differentiable and

$d'(t)=6t^2+10t$

and

$d'(4)=6*4^2+10*4=6*16+40=96+40=136$

this is 136 km/h

d' is differentiable and

$d''(t)=12t+10$

and

$d''(4)=12*4+10=48+10=58$

this is $58 \ km/h^2$

6 0

3 years ago

Read 2 more answers