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2 years ago

Write the quadratic equation in standard form

Mathematics

1 answer:

klio [65]2 years ago

5 0

Answer:

in standard form, it would be

x^2+5x+7=0

hope this helps!!

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the half-life of strontium-90 is approximately 29 years. how much of a 500 g sample of strontium-90 will remain after 58 years

Yuliya22 [10]

Answer: 125 g

Step-by-step explanation:

$A = P_o\cdot e^{kt}\\\\\text{First, use the given information to find k:}\\\\\bullet A=\dfrac{1}{2}P_o\\\\\bullet k = unknown\\\\\bullet t=29\text{ years}\\\\\dfrac{1}{2}P_o=P_o\cdot e^{k(29)}\\\\\\\dfrac{1}{2}=e^{k(29)}\qquad divided\ both\ sides\ by\ P_o\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=ln\bigg(e^{k(29)}\bigg)\qquad applied\ ln\ to\ both\ sides\\\\\\ln\bigg(\dfrac{1}{2}\bigg)=29k\qquad simplified-ln\ and\ e\ cancel\ out\\\\\\\dfrac{ln\bigg(\dfrac{1}{2}\bigg)}{29}=k\qquad divided\ 29\ from\ both\ sides\\\\\\-0.0239=k$

$\text{Now, use the following in the equation to solve for A:}\\\\\bullet A=unknown\\\bullet P_o=500\\\bullet k=-0.0239\\\bullet t=58\text{ years}\\\\A=500\cdot e^{(-0.0239)(58)}\\\\.\quad=500\cdot e^{-1.386}\\\\.\quad=125$

8 0

2 years ago

What most accurately describes the effects of tobacco use on the body?

Ilia_Sergeevich [38]

Answer:

A i believe

Step-by-step explanation:

Although nicotine is addictive, most of the severe health effects of tobacco use comes from other chemicals. Tobacco smoking can lead to lung cancer, chronic bronchitis, and emphysema. It increases the risk of heart disease, which can lead to stroke or heart attack.People who smoke cigarettes are 15 to 30 times more likely to get lung cancer or die from lung cancer than people who do not smoke. Even smoking a few cigarettes a day or smoking occasionally increases the risk of lung cancer.

4 0

2 years ago

Read 2 more answers

Simply the following expression. (v-2+3v3^) + (4v3^+7v+3)

Nina [5.8K]

Answer:

Hope this is correct

Step-by-step explanation:

HAVE A GOOD DAY!

4 0

2 years ago

Which of the following points is a solution of y > |x| + 5? A.(0,5) B.(1,7) C.(7,1)

kozerog [31]

Y > |x| + 5
(0,5) when x = 0, y > 5 ...FALSE
(1,7) when x = 1, y > 6 ...7>6...TRUE
(7,1) when x = 7, y > 12 ...FALSE

answer
B.(1,7)

3 0

2 years ago

Elijah just bought a house with a $72,000 mortgage at a 3.13% annual interest rate. How much of a $930 payment will go towards p

Mamont248 [21]

Answer: $742.20

Step-by-step explanation:

The payments will be divided between an interest and a principal payment.

The interest payment will be based on the balance at the beginning of the period and the rest of the payment will be the mortgage.

Balance at beginning of period = $72,000

Interest payment = (3.13% * 72,000) / 12 months

= $187.80

Amount going towards principal:

= Total payment - Interest payment

= 930 - 187.80

= $742.20

6 0

2 years ago