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Akimi4 [234]
3 years ago
6

What’s the answer I don’t get this

Mathematics
1 answer:
luda_lava [24]3 years ago
5 0

Answer:

K(-1)=6

Step-by-step explanation:

t=-1

2 times -1 squared

-1 squared=1

2x1 = 2

2+4=6

K(-1)=6

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Select the correct answer from each drop-down menu.
Aleksandr [31]

Answer:

b

Step-by-step explanation:

3 0
3 years ago
How can I simplify this expression using only positive exponents ?
belka [17]
\dfrac{4}{2}\cdot\dfrac{r^3}{r^5}=2\cdot\dfrac{1}{r^2}\\\\=\dfrac{2}{r^2}
5 0
2 years ago
Delia went to a market to buy 4.5 pounds of sliced fruit in a container she paid with a $20 bill and a $5 bill and received $5.2
valina [46]

One pound of the item will cost 4.74 bill

Step-by-step explanation:

In this problem, we are told that Delia bought 4.5 pounds of fruit

and paid with a toa total bill of 20+5= 25 bill

and also she received a  change of 3.67

this means that the item she bought cost 25-3.67= 21.33bill

now if 4.5 pounds of items cost 21.33 bill

then 1 pound will cost Xbill

cross multiply and solve for Xbill

X= 21.33/4.5

X= 4.74 bill

One pound of the item will cost 4.74 bill

8 0
3 years ago
He national debt of a country is ​$298,800,000​,000,000 and the population is 53,980​,000. What is the debt per​ person? Write t
lana66690 [7]

Answer:

5535383.47 units

Step-by-step explanation:

Given that,

The national dept of a country = 298,800,000​,000,000

Population of the country = 53,980​,000

We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.

d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}

Hence, the debt per person is 5535383.47 units.

6 0
3 years ago
A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if the mass is initially relea
gulaghasi [49]

Answer:

Amplitude = 0.7183m

Period of motion (T) = 1.566 seconds

Step-by-step explanation:

First of all, lets convert all the figures given in the question to standard units for ease of calculations.

1 pound = 0.454kg. Therefore, 32 pounds = 32 x 0.454kg = 14.528kg

Mass(M) = 14.528kg

Velocity (v) = 5ft/s; now, 1ft/s = 0.305m/s; so 5ft/s = 5x0.305m/s = 1.524m/s

So v=1.524m/s

Change in length of spring (^x) = 2ft. If 1ft = 0.3048, 2ft = 2x0.3048 = 0.6096m

Now,we know that Weight = Mg where g = 9.81m/s^2

Therefore, W = 14.528 x 9.81 = 142.52N

Now, ^F is the same as weight and

^F = k(^x) where k is the spring constant. Therefore k = ^F/^x

K= 142.52/0.6096 = 233.79N/m

Angular speed (ω) = (k/m) ^(1/2)

Therefore, ω = (233/14.528)^(1/2)

ω = 16.093^(1/2) = 4.012 rad/s

It is well known that ω = 2πf ; where f is frequency.

Therefore, f = ω/2π ; f= 4.012/2π = 0.6385 hz.

Period of motion (T) = 1/f

So, T = 1/0.6385 = 1.566 seconds

From proven oscillation equations;

V^2 = ω^2 (A^2 - x^2) ; where v is velocity, and A is amplitude.

Therefore let's make A the subject of the the equation ;

(V^2/ω^2) + (x^2) = (A^2)

So, {(1.524^2)/(4.012^2)} + (0.6096^2) = (A^2)

So, (A^2) = 0.5159

So, A = 0.5159^(1/2) = 0.7183m

3 0
2 years ago
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