Which statements are true? Select the five correct answers.

Answer: A) [tex]y=13e^{-0.1359t}[/tex]

              B) H = 5.10

              C) Yes

Step-by-step explanation: Exponential Decay function is a model that describes the reducing of an amount by a constant rate over time. Generally, it is written in the form: [tex]y(t)=Ce^{rt}[/tex]

A) C is initial quantity, in this case, the initial concentration of DDT. To determine r, using the data given:

[tex]y(t)=Ce^{rt}[/tex]

[tex]2.22=13e^{13r}[/tex]

[tex]e^{13r}=0.1708[/tex]

Using a natural logarithm property called power rule:

[tex]13r=ln(0.1708)[/tex]

[tex]r=\frac{ln(0.1708)}{13}[/tex]

[tex]r=-0.1359[/tex]

The decay function for concentration of DDT through the years is [tex]y(t)=13e^{-0.1359t}[/tex]

B) The value of H is calculated by [tex]y=C(0.5)^{\frac{t}{H} }[/tex]

[tex]2.22=13(0.5)^{\frac{13}{H} }[/tex]

[tex](0.5)^{\frac{13}{H} }=0.1708[/tex]

Again, using power rule for logarithm:

[tex]\frac{13}{H} log(0.5)=log(0.1708)[/tex]

[tex]\frac{13}{H} =\frac{log(0.1708)}{log(0.5)}[/tex]

[tex]\frac{13}{H} =2.55[/tex]

H = 5.10

Constant H in the half-life formula is H=5.10

C) Using model [tex]y(t)=13e^{-0.1359t}[/tex] to determine concentration of DDT in 1995:

[tex]y(24)=13e^{-0.1359.24}[/tex]

y(24) = 0.5

By 1995, the concentration of DDT is 0.5 ppm, so using this model is possible to reduce such amount and more of DDT.

Answer:

It would be c!

Step-by-step explanation:

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Answer:

3/4

Step-by-step explanation:

up 3 over 4

Answer:

you have to post the equation

Step-by-step explanation:

Answer:

Approximately 262%

Step-by-step explanation:

To find the percentage increase divide the new amount of offenses by the old amount of offenses:

2448/935 = 2.618

2.618 rounds to 2.62. Convert 2.62 into a percentage: 262%

The percentage increase between the amount of offenses in 2000 and the amount of offenses in 2019 is approximately 262%.

Answer:

14.4 there sorry for the wait

Answer:

Alice's salary is 1.56 times Wally's salary

Step-by-step explanation:

Let Wally's salary = x

Alice's salary = x + 56% of x

                     = x + 0.56x

                    = 1.56x

                    = 1.56 * Wally's salary

Answer:b

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Answer:

-9/8.

Step-by-step explanation:

-3/2 * 3/4

= -3*3 / 2*4

= -9/8.

Answer:

1. A) OPS is congruent to RSU

2. C) RSP is congruent to TSU

Step-by-step explanation:

1. Since OQ and RT are parallel lines that are cut across by the transversal line, NU, therefore, angle OPS and angle RSU are corresponding angles formed. Corresponding angles are congruent.

✅Therefore: A) OPS is congruent to RSU. OPTION A IS TRUE.

❌OPS and RSP are consecutive interior angles. They are not congruent. They are supplementary. So, option B is NOT TRUE.

❌OPS and OPN are linear pair angles. Linear pair angles are not congruent. They are supplementary. Therefore, OPTION B IS NOT TRUE.

OPS and TSU are also not congruent.

2. Angle RSP and angle RSU are vertical angles. Vertical angles are congruent. Therefore, the statement that IS TRUE is:

C) RSP is congruent to TSU

Answer:

x = 2 or x = -3

Step-by-step explanation:

Given that ∆ABC ≅ ∆SRT, it follows that their corresponding side lengths are congruent to each other.

Thus:

[tex] RT = BC [/tex]

[tex] (x^2 + x) = 6 [/tex]

Solve for x

[tex] x^2 + x = 6 [/tex]

Subtract 6 from each side

[tex] x^2 + x - 6 = 6 - 6 [/tex]

[tex] x^2 + x - 6 = 0 [/tex]

Factorise

[tex] x^2 + 3x - 2x - 6 = 0 [/tex]

[tex] x(x + 3) -2(x + 3) [/tex]

[tex] (x - 2)(x + 3) [/tex]

x = 2 or x = -3

Step-by-step explanation:

number less than 1 B.4/9+ a fraction less than 12 C. 1 3/4 - a fraction less than 3/4 D.7/8 a number less than 1

Answer:

The box on the left is 0.4 and the box on the right is 1.8

Answer:

Algebraic expression for 75 less than twice Mabel's score is 2m-75

Step-by-step explanation:

We need to translate the phrase 75 less than twice Mabel's score into algebraic expression.

Translating into algebraic expression

Let m represent Mabel's score

Twice Mabel's score = 2m

75 less than Twice Mabel's score = 2m-75

So, algebraic expression for 75 less than twice Mabel's score is 2m-75

Answer:

The circumference of a circle is C = 2πr^2 (2nd power) Radius (r) is the distance from the center of the circle to the outside of it. To find radius divide the diameter (d) by 2. The diameter (d) of a circle is the radius (r) multiplied by 2. To find the diameter (d) you need to do C ÷ π.

For example):

Finding diameter - 76/3.14 = 24.19 (d)

Finding radius - 24.19/2 = 12.095 (r)

Answer:  89

Step-by-step explanation: 8 x 11 + 1 = 89, 7 x 12 + 5 = 89, 15 x 5 + 14 = 89

Answer:

D

Step-by-step explanation:

I got it right

Using the normal distribution, it is found that 66.9% of filled boxes of rice have a weight between 28 and 29 ounces.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by: [tex]\mu = 28.2, \sigma = 0.4[/tex].

The proportion of filled boxes of rice have a weight between 28 and 29 ounces is the p-value of Z when X = 29 subtracted by the p-value of Z when X = 28, hence:

X = 29:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{29 - 28.2}{0.4}[/tex]

Z = 2

Z = 2 has a p-value of 0.977.

X = 28:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{28 - 28.2}{0.4}[/tex]

Z = -0.5

Z = -0.5 has a p-value of 0.308.

0.977 - 0.308 = 0.669 = 66.9%.

More can be learned about the normal distribution at https://brainly.com/question/24663213

#SPJ2

Answer:

2( w + 3 )

Step-by-step explanation:

Well first off, since theres no common term to factor out, I had to split 6 in half

so 2 w + 6 becomes 2w + 2 x 3.

I then factored out 2 because it's a common term,

which then leaves: 2( w + 3 )

basically, you have to find a common term to factor out, if you don't see one, you have to do something to a number so there's common terms.

Answer:

(0,-4)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The formula F = 1.8C + 32 can be used to find the temperature in degrees Fahrenheit F when the temperature is given in degrees Celsius C. For what value is the temperature in degrees Fahrenheit equal to the temperature in degrees Celsius? Justify your reasoning by writing and solving an equation. (Hint: If Fahrenheit and Celsius are equal, they can be assigned the same variable.)

Answer:

Step-by-step explanation:

138/8 = 17.25

Answer:

because a function always gives a determined answer from what was placed into the domain, this is not a function. what is put into the domain (students) may not get the same result through f.

Answer: 1. the students 2. the final exams 3. is- domain- one- range   brainliest plzz??

Answer:

0.85 of the original piece of lumber remains.

Step-by-step explanation:

Well, this lumber piece of lumber started as 2.5 meters long. Then, a 1.65 meter piece was cut off of it. All we need to do is subtract.

2.5 - 1.65 =

2.50 - 1.65 = 0.85.

Therefore, 0.85 of the original piece of lumber remains.

Hope this helps! :)