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2 years ago

3

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

4 0

Answer:

Step-by-step explanation:

when it's multiplication exponent add up

so the one in the parentheses will be ( x^4/3 x ^2/3) = x ^ 4/3 +2/3 = x ^ 6/3

when you simplify it will give you x ^2

now the last step will be to multiple the exponent

x^ 2/3

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Oxford currently generates 45,000 tons of garbage per year. but the city is launching some recycling initiatives to bring that n

barxatty [35]

Answer:

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

$y=Ae^{-rt}$

Where:

$y$ is the quantity/size after time t

$A$ is the initial size

$r$ is the rate of decay

-Our function can the be written as

$y=45000e^{-0.05t}$

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

$y=ab^x$

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form $b=(1-r),\ \ r=decay\ rate$

$y=ab^x\\\\y=45000(1-0.05)^x$

Hence, the decay factor is (1-0.05)

8 0

2 years ago

Point F is at (0, -10) and point H is at (-6, 5). Find the coordinates of point G on line segment FH such that the ratio of FG t

Tanya [424]

Answer:

G(x,y)=(-4,0)

Step-by-step explanation:

We use the section formula:

$(x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)$

Given:

$F(x_1,y_1)=(0, -10)\\H(x_2,y_2)=(-6, 5)\\FG:GH=m:n=2:1$

We substitute the values to get:

$G(x,y)=\left(\dfrac{2*-6+1*0}{2+1}, \dfrac{2*5+1*-10}{2+1}\right)\\=\left(\dfrac{-12}{3}, \dfrac{10-10}{3}\right)\\=\left(\dfrac{-12}{3}, \dfrac{0}{3}\right)\\\\G(x,y)=(-4,0)$

5 0

3 years ago

3 x one half three halves five sixths one sixth one half

fomenos

Answer:

three halves

Step-by-step explanation:

1/2 * 3 = 3/2 = 1 1/2 = 1.5

Multiple: 1/2 * 3 = 1 · 3/2 · 1 = 3/2

Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(3, 2) = 1. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - one half multiplied by three = three halfs.

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1 year ago

2 4/5 ÷ 2 1/5 = (Please answer as a fraction)

svet-max [94.6K]

Answer:

1 3/11

Step-by-step explanation:

8 0

3 years ago

A trin ratio of greater than 1 is considered a __________. a. bearish signal

zubka84 [21]

The answer that fits the blank given above is BEARISH SIGNAL. When we say bearish signal, this is an indication that there is a possibility that stocks will decrease or will perform less than it is expected. The opposite for bearish signal is the bullish signal which means otherwise.

8 0

3 years ago