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3 years ago

I need help with this please

Mathematics

1 answer:

Ksenya-84 [330]3 years ago

4 0

I’m not sure bc i did this years ago but u might want to go to ur teacher for some help

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as part of her effort to help the earth, melissa wants to plant 50,564 trees in the next 4 years. She planted 10,524 the first y

dusya [7]

Answer:

Step-by-step explanation:

As part of her effort to help the earth, melissa wants to plant 50,564 trees in the next 4 years. She planted 10,524 the first year and 8,546 the second year. The third year she planted 2,315 more trees than the first and second year combined. How many more trees does she need to plant the fourth year to reach her goal?

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3 years ago

Polygon ABCD will be dilated by a factor of 2 to produce polygon A′B′C′D′. The origin is the center of dilation. Which point wil

deff fn [24]

Since the origin is the center of dilation. Take every vertex in the polygon ABCD and multiply it by 2 since the dilation factor is 2. It will result to polygon A'B'C'D'. Compare then the points given to the new points after dilation.

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3 years ago

Write an equation of the line that passes through point (-8, – 5) and has the slope m= - 1/4 y=

zmey [24]

Answer:

y= -1/4x + 3

Step-by-step explanation:

y-y1 = m(x-x1)

(-8 {x1}, -5 {y1}, -1/4 [m] )

We'll then replace the letters with the available figures.

y-[-5] = -1/4 (x-[-8])

We are made to know that minus + minus= plus

Minus + plus= Minus

Minus x minus = plus

minus x plus = minus

Therefore, the mathematical setting of this question becomes,

y+5 = -1/4 (x+8)

Multiply everything in the bracket with the outside value

-1/4 x X = -1/4x

-1/4 x 8 = -2

The mathematical setting then becomes,

y+5 = -1/4x + -2 (Note: plus + minus = minus)

so, it becomes

y+5 = -1/4x - 2

The equation is supposed to look like this, y= mx + b

Therefore we add +5 to both sides to cancel out

y+5 = -1/4x - 2

+5 +5

+5 cancels out +5 which makes the setting,

y= -1/4x - 2 +5 (-2+5 goes around to become 5-2= 3)

The expression now looks like this

y= -1/4x +3 which is the final answer!

$y= -1/4x + 3$

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2 years ago

Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its te

Aleonysh [2.5K]

Answer:

t=5.18 minute

Step-by-step explanation:

Using Newton's law of cooling

$\frac{dT}{dt}=-k(T-T_{s})$

T is temperature of a cup of coffee at any time t $T_{s}$ , is the temperature of the surrounding and k is a constant of proportionality in this negative because temperature is decreasing.

$T(0)=190\\T(1)=170\\T_{s}=66$

$\frac{dT}{dt}=-k(T-T_{s})\\\frac{dT}{(T-T_{s})}=-k*dt\\\int\limits {\frac{1}{T-T_{s} } } \, dT=-\int\limits {k} \, dt\\ln(T-T_{s})=k*t+C\\e*ln(T-T_{s})=e^{k*t+C} \\T-T_{s}=e^{k*t}*e^{C}\\e^{C}=C\\T-T_{s}=e^{k*t}*C\\T=T_{s}+e^{k*t}*C$