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shusha [124]
3 years ago
15

Goodmorning all help me guys​

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

Step-by-step explanation:

a)1) As denominators are same, keep the same denominator for the result also

Add the numerators and write the new numerator.

\frac{3y}{4}+\frac{5y}{4}=\frac{3y+5y}{4}=\frac{8y}{4} = 2y

20 Reduce to simplest form by dividing the numerator and denominator by GCF

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the speed that a tsunami can travel is modeled by the equation mc025-1.jpg , where s is the speed in kilometers per hour and d i
Flura [38]
The answer is a.0.32 km.

The speed that a tsunami can travel is modeled by the equation is s = 356√d.

It is given:
s = 200 km/h
d = ?

Now, let's substitute s in the equation and find d:
s = 356√d
200 = 356√d
√d = 200 ÷ 356
√d = 0.562

Now, let's square both sides of the equation:
(√d)² = (0.562)²
d = (0.562)² = 0.316 ≈ 0.32

Therefore, <span> the approximate depth (d) of water for a tsunami traveling at 200 kilometers per hour is 0.32 km.</span>
5 0
3 years ago
Read 2 more answers
how long will it take an investment of $300 to triple, if the interest rate is 3.5% per year, compounded continuously?
Rashid [163]

Answer:

31 years to triple the investment

Step-by-step explanation:

Initial investment = 300

Triple amount that is final amount = 300*3= 900

rate of interest = 3.5 % = 0.035

we need to find out number of years (t)

for compounded continuously we use formula

A= Pe^{rt}

A is the final amount

P is the initial amount

r is the rate of interest

t is the number of years

900 = 300e^{0.035*t}

Divide both sides by 300

3 =e^{0.035*t}

take 'ln' on both sides

ln(3) =ln(e^{0.035*t})

ln(3) = 0.035t ln(e)

ln(e)= 1

\frac{ln(3)}{0.035} = t

t= 31.3889

Round to nearest whole number

t= 31 years


4 0
3 years ago
This graph shows a proportional relationship.<br> What is the constant of proportionality?
Vlad1618 [11]

Answer:

3/4

Step-by-step explanation:

there is no y intercept but it is 3/4 when you simplify

4 0
2 years ago
Find the quotient of 1 1/4 and 3 1/2 . Express your answer in simplest form.
tino4ka555 [31]

Answer:

8/35

Step-by-step explanation:

1 1/4 = 5/4

3 1/2 = 7/2

5/4 × 7/2

Find the reciprocal. (flip numerator and denomimator)

4/5 × 2/7 = 8/35

4 0
3 years ago
An angle measures 64 degrees more than the measure of its complementary angle. What is the measure of each angle?
fiasKO [112]

Answer:

13 and 77 degrees

Step-by-step explanation:

Complementary = 90 degrees

Set an angle to x

x+(x+64)=90

2x+64=90

2x=26

x=13

angle measures: 13, 77 degrees

7 0
3 years ago
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