An 8-foot piece of twine costs $5.76. What is the price per inch?

Complete question :

A therapeutic drug has the side effect of raising a patient's heart rate. The relationship between ,

the amount of the drug in the patient's body (in milligrams), and r, the patient's heart rate (in beats

per minute) is given by r(Q) = 60+ 0.2Q. Over time the level of the drug in the patient's

bloodstream changes. The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t.

a. What is the heart rate of this patient 5 minutes after the drug was administered? 8 minutes?

10 minutes? 13 minutes?

Answer:

76.384 ;

68.389 ;

65.369;

62.749

Step-by-step explanation:

Given function:

r(Q) = 60+ 0.2Q ; amount of drug on patient's body, Q and heart rate (r)

The amount of drug in the patient's body, Q, (in milligrams) t minutes after

the drug has been administered is given by Q(t) = 250(0.8)^t

a. What is the heart rate of this patient

5 minutes after the drug was administered?

t = 5 ; quantity of drug on patient's body ;

Q(5) = 250(0.8)^5 = 81.92

Q = 81.92

Heart rate (r)

r(81.92) = 60+ 0.2(81.92) = 76.384

t = 8 minutes?

Q(8) = 250(0.8)^8 = 41.94304

Q = 41.94304

Heart rate (r)

r(41.94304) = 60+ 0.2(41.94304) = 68.389

t = 10 minutes

Q(10) = 250(0.8)^10 = 26.8435456

Q = 26.8435456

Heart rate (r)

r(26.8435456) = 60+ 0.2(26.8435456) = 65.369

t = 13 minutes

Q(13) = 250(0.8)^13 = 13.7438953472

Q = 13.7438953472

Heart rate (r)

r(13.7438953472) = 60+ 0.2(13.7438953472) = 62.749

Answer:

180

Step-by-step explanation:

Answer:

8x + 7

Step-by-step explanation:

combine the like terms

Answer:

8x+7

Step-by-step explanation:

5x+3x=8x

2+5=7

ihope answer helps u

Answer:

42 minutes

Step-by-step explanation:

Put all numbers in order then cross out a number from each side until you reach the middle.

28, 35, 42, 55, 57

/ 35, 42, 55 /

/ / 42 / /

Answer:

3 hours and 37 minutes

Step-by-step explanation:

42+35+28+55+57=217

217/60=3.61666.....

217-60-60-60=37

Answer:

101.5m left to use after the big top goes up.

Step-by-step explanation:

18*10=180  [tex]\pi[/tex]r[tex]x^{2}[/tex]= 3.14*5^{2}=3.14*25=78.5

180-78.5= 101.5m

Answer:

slope-6

y-intercept-(0,-3)

Step-by-step explanation:

Answer:

0.411^5 times 0.599

Step-by-step explanation:

0.599 chance of landing on heads.

0.411 chance of not landing on heads.

0.411 times 0.411 times 0.411 times 0.411 times 0.411 (for the 5 flips that do not land on heads) times 0.599 (for the time that it does land on heads).

Answer:

Step-by-step explanation:

Two negatives cancel

LCM of 9 and 11 is 99, bringing into common denominator of 99

Answer:

10

Step-by-step explanation:

296/26 = 11.3846153846

Now round it to the nearest tenth = 11.40

round to the nearest whole number = 11

To the nearest zero digit = 10

Answer:

Step-by-step explanation:

296 .Here ten's place is 9 >= 5 . So, add 1 to hundred's place

296 = 300

26. Here units place is 6 >= 5 . So, add 1 to ten's place

26 = 30

[tex]\frac{296}{26}=\frac{300}{30}=10[/tex]

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

Answer:

4n + 5

Step-by-step explanation:

This equation cannot be simplified further

Unless you meant 4n + 7 = 2

Then the answer would be -1.25

Answer:

4n+5 hope this helps

Step-by-step explanation:

4n+7-2

4n+5

Answer: P(S-name U Boy)  = [tex]\dfrac58[/tex]

Step-by-step explanation:

Given: A club consists of 5 girls (Kirsten, Sarah, Suzie, Monica, and Katie) and 3 boys (Kevin, Steve and Samuel)

To find : P(S-name U Boy) i.e. Probability of selecting a person whose name starting with S or boy.

n(S-name U Boy) = 5   {2 girls (Sarah, Suzie), 3 boys( Kevin, Steve and Samuel )}

Now,  P(S-name U Boy)  = [tex]=\dfrac{\text{n(S-nam e} \cup\text{ Boy}}{\text{Total persons in the club}}[/tex]

[tex]=\dfrac{5}{5+3}\\\\=\dfrac{5}{8}[/tex]

Hence, P(S-name U Boy)  = [tex]\dfrac58[/tex]

Answer:

4r-3

Step-by-step explanation:

3 fewer means subtracting 3 and 4 represents the r

Answer:

∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13) ⇒ C

Step-by-step explanation:

The product of two numbers can be put in the form of the sum of two products by using this rule, m × n =  (a × n) + (b × n), where m = a + b

Let us solve the question using this rule

∵ We need to put 64 × 13 as the sum of two products

→ Let m = 64 and n = 13

∵ m = 64 and n = 13

∵ 64 = 60 + 4

∴ a = 60 and b = 4

→ By using the rule above

∵ m × n = (a × n) + (b × n)

∵ a = 60, b = 4, and n = 13

∴ 64 × 13 = (60 × 13) + (4 × 13)

∴ The expression which is equal to 64 x 13 is (60 × 13) + (4 × 13)

Answer: A

Step-by-step explanation:

because she's deducting 10 points every day the slope is constant so it has to be a linear equation

Answer:

41

Step-by-step explanation:

The Pythagorean Theorem:

[tex]x^2+y^2=z^2[/tex]

where x and y are two legs, and z is the hypotenuse

Plugging this in, we have

[tex]40^2 + 9^2 = 1681\\\sqrt{1681}=41[/tex]

Answer: Hypotenuse is 41

Answer:

11 (positive)

Step-by-step explanation:

Answer:

e=11

Step-by-step explanation:

3(2e+5)+8(1-e)=1

6e+15+8-8e=1

-2e+23=1

-2e=-22

e=11

Answer:

The correct option is  a

Step-by-step explanation:

Generally the null hypothesis is  rejected (that the result is significant ) when the p-value is less that the the level of significance

Now from the question when the the level of significance was 5% the p-value was less than the level of significance so also when the level of significance is   10% the p-value will be less than the level of significance hence null hypothesis will also be rejected at this level(that is the result will also  be significant at the level of significance )  

Answer:

mistake in step 2 forgot to subtract from end

Step-by-step explanation:

An equation is formed when two equal expressions. The value of x is 24 and Jake made a mistake in step 2. The correct option is A.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

The given equation 1/3x + 7 = 15 can be solved as shown below.

Step 1.) 1/3x + 7 = 15

Step 2.) Subtract 7 from both the sides of the equation,

1/3x + 7 - 7 = 15 - 7

Step 3.) 1/3x = 8

Step 4.) Multiply both the sides of the equation by 3,

3 • 1/3x = 3 • 8

Step 5.) x = 24

Hence, the value of x is 24. And Jake made a mistake in step 2.

Learn more about Equation here:

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Answer:

z = 12

Step-by-step explanation:

Answer:

Step-by-step explanation:

4z - 4 = 3z + 8

z = 12

Answer:

I really do not know sorry I just need points

Answer:

144

Step-by-step explanation:

You will multiply 4 tablespoons by the number of cups, that is how you get your answer.  ; )

Answer:

Is it 11.6%?

Step-by-step explanation:

I divided 290/250

Answer:

I believe you would look for what x is when y is 0, but I may be wrong.

Answers (all in complete sentence):

12. A linear function because it goes at a constant rate of change.

13. A linear function because it goes at a constant rate of change.

14. A nonlinear function because it doesn’t go at a constant rate of change.

15. a. The missing y-value is 4.20 that makes the table represent a linear function.

     b. y=1.4x is a linear funcation that represents the cost y of x pounds of seeds.

16. The table represents a nonlinear function because the change in the wavelength, x divided by the change in the frequency, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

17. The table represents a nonlinear function because the change in the height, x divided by the change in the steps, y is not constant. Also, when the points from the table are plotted on a graph, they do not form a straight line.

Hope this helps and answers your questions :)

Answer:

x ≈ 11.5, y ≈ 3.4

Step-by-step explanation:

Th rectangular components of the vector are

x = r cosθ

y = r sinθ

where r is the magnitude and θ is the angle between x- axis and vector

Here r = 12 and θ = 90° - 73.3° = 16.7° , then

x = 12 cos16.7° ≈ 11.5 m ( to 1 dec. place )

y = 12 sin16.7° ≈ 3.4 m ( to 1 dec. place )

Answer:

For inequalities with a less than sign (<), the first number is always to the left of the second number on the horizontal number line.

Step-by-step explanation: I had it as a question.

The first number is always to the left of the second number in inequalities with a less-than sign ().

Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.

Here,
Let's assume an inequality,
y < x
Which represents that x has a greater value than y, and also on the horizontal number line, the first number is always to the left of the second number in inequalities with a less-than sign ().

Thus, The first number is always to the left of the second number in inequalities with a less-than sign ().

Learn more about inequality here:

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