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3 years ago

HELPPPPP PLEASE. NEED IT ASAP

Mathematics

1 answer:

MAXImum [283]3 years ago

3 0

Answer:

Step-by-step explanation:

30/3=10 for all in 1 week

10/5=2 each person in a meal

Since all eat the same amount, 2x3=6 per meal. 6 hot dogs x 8 meals= 48 hot dogs in total

Hope this helped XD

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Find the slope of the two points (6,5) and (9, 15)

vlabodo [156]

$\bf (\stackrel{x_1}{6}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{9}~,~\stackrel{y_2}{15}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{15}-\stackrel{y1}{5}}}{\underset{run} {\underset{x_2}{9}-\underset{x_1}{6}}}\implies \cfrac{10}{3}$

7 0

3 years ago

Read 2 more answers

Adrian built a structure out of 10 congruent cubes. If each cube has a volume of 8 cu. centimeters, what is the total

kobusy [5.1K]

Answer:

Option (b).

Step-by-step explanation:

It is given that Adrian built a structure out of 10 congruent cubes.

Volume of each cube = 8 cubic centimetres.

We need to find the total volume of the structure.

Total volume = No. of cubes × Volume of each cube

$V=10\times 8$

$V=80$

Therefore, the total volume of the structure is 80 cubic centimetres.

Hence, option (b) is correct.

4 0

3 years ago

Radioactive Waste The rate at which radioactive waste is entering the atmosphere at time t is decreasing and is given by Pe^-kt,

Dmitry_Shevchenko [17]

Answer:

$\displaystyle{\int^{\infty}_0 {50e^{-0.04t}}\, dt}=1250$

Step-by-step explanation:

Given:

$T =\displaystyle{\int^{\infty}_0 {Pe^{-kt}} \, dt}$

where,

T = total amount of waste

P = 50, the initial rate

k = 0.04

t = time

$T =\displaystyle{\int^{\infty}_0 {50e^{-0.04t}} \, dt}$

now we need to solve this integral!

$T =\displaystyle{50\int^{\infty}_0 {e^{-0.04t}} \, dt}$

$T = \left|50\left(\dfrac{e^{-0.04t}}{-0.04}\right)\right|^{\infty}_0$

$T = \left|-1250e^{-0.04t}\right|^{\infty}_0$

$T = (-1250e^{-0.04(\infty)})-(-1250e^{-0.04(0)})$

when any number has a power of negative infinity it is 0. because: $a^-{\infty} = \dfrac{1}{a^{\infty}} = \dfrac{1}{\infty} = 0$ , like something being divided by a very large number!