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2 years ago

Write the model of a 50 gram substance that decays at a rate of 3% yearly

Mathematics

1 answer:

Vadim26 [7]2 years ago

6 0

Answer:

A(t) = 50(0.97)^t

Step-by-step explanation:

3% = 0.03

1 - .03 = 0.97

A(t) = 50(1 - 0.03)^t

A(t) = 50(0.97)^t

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Can someone help me on this question?

notsponge [240]

Answer:

x = 19.6

Step-by-step explanation:

By applying cosine rule in ΔBCD,

cos(30)° = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

= $\frac{BC}{BD}$

$\frac{\sqrt{3}}{2}=\frac{BC}{16}$

BC = $8\sqrt{3}$

Now, by applying sine rule in ΔBAC,

sin(45)° = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$\frac{1}{\sqrt{2}}=\frac{AB}{BC}$

$\frac{1}{\sqrt{2}}=\frac{x}{8\sqrt{3}}$

x = $8\sqrt{6}$

x = 19.59

x ≈ 19.6

3 0

2 years ago

Using appropriate properties, find the value of 249² - 248²

Lady_Fox [76]

Answer:

$\boxed{\bold{\huge{\boxed{497}}}}$

Step-by-step explanation:

=> $\sf 249^2 - 248^2$

Using Formula $\sf a^2 - b^2 = (a+b)(a-b)$

Where

a = 249

b = 248

=> $\sf (249+248)(249-248)$

=> $\sf (497)(1)$

=> 497

3 0

2 years ago

Y=3x-2 Y=2x-5 Find X and Y using substitution

tiny-mole [99]

$y = 3x -2~~~.....(i)\\\\y = 2x-5~~~.....(ii)\\\\\text{Substitute equation (i) in equation (ii):}\\\\3x-2 = 2x -5\\\\\implies 3x -2x = -5+2\\\\\implies x = -3\\\\\text{Substitute}~ x =-3,~ \text{in equation (i):}\\\\y = 3(-3) -2 = -9 -2 = -11\\\\\text{Hence,}~ (x,y) = (-3,-11)$

4 0

2 years ago

Find a formula for the distance from the point P(x,y,z) to each of the following planes. a. Find the distance from P(x,y,z) to

BARSIC [14]

Answer:

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

Step-by-step explanation:

The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z

Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|

Distance to the xy-plane = |z|

Distance to the yz-plane = |x|

Distance to the xz-plane = |y|

7 0

3 years ago

Will award most brainliest need help pls (due today)

asambeis [7]

Answer:

m∠A = 24°

Step-by-step explanation:

m∠A = m∠B

3x-12 = 2x

-2x. -2x

x-12 = 0

x = 12

3(12)-12 = 24

2(12) = 24

11 (12) = 132

132 + 24 +24 = 180

4 0

3 years ago