The chemical element einsteinium-253 naturally loses its mass over time. The relationship between the elapsed time t, in weeks, since a sample of einsteinium was measured, and its mass, M(t), in grams, is modeled by the following function: 7t+5 M(t) = (0.97) Complete the following sentence about the weekly rate of change in the mass of the sample. Round your answer to two decimal places. Every week, the mass of the sample is multiplied by a factor of.

i used to know how to do this in 7th but i forget easily

step-by-step explanation:

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.

the weight of the object inside the box!

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west