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3 years ago

5. Show all conversion factors!

Mathematics

1 answer:

asambeis [7]3 years ago

7 0

Answer:

80 kilometers per hour is equal to 49.72 miles per hour.

Step-by-step explanation:

Given that the speed limit in some European cities is 80 km / h, to determine how many miles per hour is this, knowing that 1 mile is equal to 1,609 km, the following calculation must be performed:

1,609 = 1

80 = X

((80/1) x 1.609) = X

80 x 1.609 = X

49.72 = X

Thus, 80 kilometers per hour is equal to 49.72 miles per hour.

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If ΔABC ≅ ΔDEF, what is the length of AB?

Katena32 [7]

Answer:

AB=24ft

Step-by-step explanation:

3x+6=4x

6=4x-3x

6=x

AB=3x+6

AB=3(6)+6

AB=18 + 6

AB=24

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3 years ago

Solve 4 5 x − 3 3 4 x = 2 1 2 45x - 334x = 212

love history [14]

Assuming the question is 45x - 334x = 212

Then the answer is:

45x - 334x = 212

-289x = 212

x = -(212 / 289)

x = -0.73

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3 years ago

An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click

Sergeeva-Olga [200]

Answer:

A. $\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

B. $\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

Step-by-step explanation:

Given that:

An investment of Amount = $8000

earns at an annual rate of interest = 7% = 0.07 compounded continuously

The objective is to :

A) Find the instantaneous rate of change of the amount in the account after 2 year(s).

we all know that:

$A = Pe^{rt}$

where;

$A = (8000) \ e ^{0.7t}$

The instantaneous rate of change = $\dfrac{dA}{dt}$

$\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )$

$= 8000 \dfrac{d}{dt}e^{0.07 \ t}$

$\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}$

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 2 years; the instantaneous rate of change is:

$\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}$

$\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}$

(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.

Here the amount = 12000

$12000 = (8000)e^{0.07 \ t}$

$\dfrac{12000 }{8000}= e^{0.07 \ t}$

$1.5= e^{0.07 \ t}$

㏑(1.5) = 0.07 t

0.405465 = 0.07 t

t = 0.405465 /0.07

t = 5.79

$\dfrac{dA}{dt}= 560 e^{0.07 \ t}$

At t = 5.79

$\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}$

$\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }$

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3 years ago

The fractions 10/12 and 5/24 are equivalent fractions.<br> True or False

Nadusha1986 [10]

Answer:

No they aren't smh

Step-by-step explanation:

10/12 * 2 = 20/24 not 5/24 so not true

4 0

3 years ago

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How do i solve this?<br> 2+4x=2(2x+1)

IgorC [24]

Answer:

Infinitely many solutions (or 2=2 which isnt related)

Step-by-step explanation:

2+4x=4x+2

Distribute the 2 to the numbers inside.

Secondly, Minus the 4x on the right side and also minus the 4x on the right side.

You would end up with 0x.

The answer would be 2=2, but the real answer would be "infinitely many solutions."

If your teacher thinks this is wrong, I don't know what else. I could be wrong but really, I don't care.

3 0

3 years ago

Read 2 more answers