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2 years ago

Given the four vectors in component form:

Mathematics

2 answers:

Lana71 [14]2 years ago

6 0

Answer:

A C D B

Step-by-step explanation:

Kazeer [188]2 years ago

3 0

Answer:

Step-by-step explanation:

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The sum of ages of a man and his wife is 81. The ratio of their ages is 5:4. Find the age of the younger person.

slamgirl [31]

Answer:

A 30 years jjjajajajwiwkwkwiwqakaaiai

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2 years ago

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The vertex form of the equation of a parabola is y = 2(x + 3)2 - 5. What is the standard form of the equation?

svet-max [94.6K]

Hello :
y = 2(x + 3)² - 5
y = 2(x²+6x+9) -5
y = 2x² +12x +13...(answer : A) y=2x^2+12x+13 )

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3 years ago

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A box of 24 greeting cards is sold at a gift shop for $3.00. The cost to the store is $2.40. What is the markup as a percentage

Murljashka [212]

Answer:

25%

Step-by-step explanation:

formula for percent markup/discount= absulute value of original-new/original

plug the numbers is

(2.40-3.00/2.40) absolute value=0.25

0.25 as a percent is 25%

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3 years ago

Round 0.6203 to the tenths place

navik [9.2K]

Answer:

0.6

Step-by-step explanation:

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2 years ago

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Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

3 years ago