A patient has an illness that typically lasts about 24 hours. The temperature, T, in degrees Fahrenheit, of the patient t hours after the illness begins is given by:T(t) = -0.02t^2 +0.4968 +98.
a. When does the patient's temperature reach its maximum value
b. What is the patient's maximum temperature during illness

Answer:

1.8 ; - 14.7

Step-by-step explanation:

Evaluate the algebraic expression 1.5t -7.2 for each given value 6 ; -5

For each of values 6 and - 5 ;

Substitute the values for t in the expression ; 1.5t - 7.2

Substituting 6 for t:

1.5(6) - 7.2

9 - 7.2

= 1.8

Substituting -5 for t:

1.5(-5) - 7.2

-7.5 - 7.2

= - 14.7

Answer:

the quotient is 805. the remainder is 5.

Step-by-step explanation:

when you multiply the 8 you put the number you multiplied on top. The first one is 80 and then 5. You have a 5 left over which makes that the remainder

Answer:

1. is 85.625

2. is .625

so you divide 685 and you know nothing multiplied by 8 will equal 685 so the remainder is 685

Answer:

the answerv is D

Step-by-step explanation:

Answer:

it’s mixed number

Step-by-step explanation:

Answer:

It is a Mixed number!

Step-by-step explanation:

Answer:

a. 106 degrees

Step-by-step explanation:

m=measure of angle 1; m-32 degrees=measure of supplement

m+(m-32 degrees)=180 degrees Add 32 degrees to each side.

2m=212 degrees Divide each side by 2

m=106 degrees ANSWER: The measure of angle 1 is 106 degrees

CHECK:

106+(106-32)=180

106+74=180

180=180

Answer:

0.43

Step-by-step explanation:

Formatting the Given data into a probability distribution table :

X : ____ 0 __ 1 ___ 2 ____ 3 _____ 4 ____ 5

P(x) : _0.09_0.11 _ 0.24 _0.21 ___ 0.17 __ 0.05

Probability of making 3 or more mistakes :

P(x ≥ 3) = P(x = 3) + P(x = 4) + P(x = 5)

P(x ≥ 3) = 0.21 + 0.17 + 0.05

P(x ≥ 3) = 0.43

Answer:

1/12

Step-by-step explanation:

you have 1/6 chance at drawing it once (one yellow marble, six total), so 1/12 to draw it twice.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

It is given that, we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow.

We have to find the probability of picking a yellow marble, returning it to the box, and then picking a blue marble.

The probability of picking a yellow marble, returning it to the box, and then picking a blue marble is obtained as,

=1/6 × 1/6

=1/36

Thus the probability of picking a yellow marble, returning it to the box, and then picking a blue marble will be 1/36. Option C is correct.

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Answer:

9:10

Step-by-step explanation:

74 is the buccaneers, and 35+45=80

so the ratio is 74:80

simplify to 36:40

then to 18:20

then to 9:10

Answer:

283.2

Step-by-step explanation:

The number of DVDs will be 304.5.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that In one day a store sold 3/4 as many DVDs as Blu-Ray discs. The total number of DVDs and Blu-Ray discs sold was 406.

The number of the DVDs will be calculated as below:-

Number = 406 x ( 3 / 4).

Number = 304.5

Therefore, the number of DVDs will be 304.5.

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Answer:

amanda: 18

Hong: 36

Bill: 26

Step-by-step explanation:

a+b+h=80

b=8+a

H=2A

a+8+a+2a=80

4a+8=80

a=18

Answer:

635 trucks

Step-by-step explanation:

So first e know the ratio is 2:5

The amount of cars are 254

So the 2 in the ratio which represents cars is 254

So w can make that as A ratio

2:254

The 5 is known but the actual amount is unknown so we can make that x

5:x

Now we gotta make them equal to each other

2:254=5:x

Turn into fraction

2/254=5/x

Cross multiply (proportion)

2x=1270

Solve

x=635

So 635 trucks

Answer: 18 = 36.

Step-by-step explanation:  (18x1) + 18 = 36

Answer:

1

Step-by-step explanation:

Because 6 x 4 is 24 and 25 - 24 is 1

Answer:

2x+6

Step-by-step explanation:

4y=8x+24

y=2x+6

Answer:

x=2 y=-1

Step-by-step explanation:

multiply the top equation by negative 2. then it is -7=-14

then you dive and find out that x=2 and plug it inot the equation and solve for x 10+?=9 which is -1

Answer:

x=2

y=-1

Step-by-step explanation:

make it so that you can cancel out the y

to do this multiply the top equation by 2

10x+2y=18

3x+2y=4

subtract to get rid of 2y

7x=14

x=2

substitute the x into one equation

3(2)+2y=4

6+2y=4

2y=-2

y=-1

Answer:

To figure out if an ordered pair is a solution to an equation, you could perform a test. Identify the x-value in the ordered pair and plug it into the equation. When you simplify, if the y-value you get is the same as the y-value in the ordered pair, then that ordered pair is indeed a solution to the equation.

Step-by-step explanation:

Answer/Step-by-step explanation:

✔️Number of Yoga classes = x

Cost ($) = y

Constant of proportionality (k) = y/x

Using the pair form the table of values given, (4, 60), find the constant of proportionality:

✅k = 60/4 = 15

Equation that represents the relationship between x and y is:

y = 15x

✔️Let's complete the table.

✅When number of yoga classes (x) = 2:

Substitute x = 2 into y = 15x

Thus,

y = 15*2 = 30

That is, 2 Yoga classes will cost $30

✅When number of yoga classes (x) = 6:

Substitute x = 6 into y = 15x

Thus,

y = 15*6 = 90

That is, 6 Yoga classes will cost $90

✅When number of yoga classes (x) = 8:

Substitute x = 8 into y = 15x

Thus,

y = 15*8 = 30

That is, 8 Yoga classes will cost $120

Answer:

x = 10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

AB and BC must add up to AC

mAB + mBC = mAC

(2x - 4) + (3x + 2) = 48

Step 2: Solve for x

Answer:

[tex]\frac{6\times 10^2}{3\times 10^{-5}}[/tex] = 2 x 10⁷

Step-by-step explanation:

Given expression is [tex]\frac{6\times 10^2}{3\times 10^{-5}}[/tex]

The given expression is simplified as follows;

[tex]\frac{6\times 10^2}{3\times 10^{-5}} = (\frac{6}{3} )\times 10^{2-(-5)}\\\\(\frac{6}{3} )\times 10^{2-(-5)} = (\frac{6}{3} )\times 10^{2+5}\\\\(\frac{6}{3} )\times 10^{2+5} = 2 \ \times \ 10^7[/tex]

Therefore, the result of the given expression is 2 x 10⁷

Answer:

-2

Step-by-step explanation:

you went to floor -4 in the begining, then went up 6 floors to floor 2

-4+6=2

so now you have to go down 2 floors making it negative

no your answer is -2

Answer:

£11564.54

Step-by-step explanation:

Therefore, option A will result in the least amount owed after 5 years.

Percent is a way of expressing a number as a fraction of 100. The symbol used for percent is "%". For example, 50% is equivalent to 50/100 or 0.5. Percentages are commonly used to express rates, ratios, and changes in quantity over time.

Here,

To determine which option will result in the least amount owed after 5 years, we need to calculate the total amount owed for each option at the end of the 5-year period. We can use the formula A=P(1+r/n)^(nt) to calculate the total amount owed, where A is the final amount owed, P is the principal (in this case $5,000), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the time period in years.

Option A: 2 1/4% compounded quarterly (every 3 months)

The annual interest rate is 2.25%. Since interest is compounded quarterly, n=4. The time period is 5 years, so t=5. Plugging these values into the formula, we get:

A = [tex]5000(1+0.0225/4)^{(4*5)}[/tex]

= $5,827.05

Option B: 3% compounded every 4 months

The annual interest rate is also 3%, but interest is compounded every 4 months. To calculate the effective interest rate per year, we need to convert the compounding period to years. Since there are 3 compounding periods per year (4 months each), the effective annual interest rate is:

(1+0.03/3)³ - 1 = 0.0304 or 3.04%

Using the formula with these values, we get:

A = 5000(1+0.0304)⁵

= $6,079.28

Option C: 4 1/2% compounded semi-annually

The annual interest rate is 4.5%. Since interest is compounded semi-annually (twice per year), n=2. Plugging in the values, we get:

A = [tex]5000(1+0.045/2)x^{(2*5) }[/tex]

= $6,200.92

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Answer:

The lesson Triangle Construction discussed how to make a triangle given three side lengths. As you discovered, as long as two of the lengths added up to be greater than the third, they would form a unique triangle (only one triangle could be formed).

Step-by-step explanation:

Can you give a picture of what you're talking about so I can help? lol.

Answer:

[tex]8^{-2}[/tex]

Step-by-step explanation:

[tex]2^{-2} = 1/4[/tex]

So:

[tex]8^{-2} = 1/8*1/8[/tex]

Answer:

327.175 miles

Step-by-step explanation:

Step one:

given data

A car can travel 28.45 miles with one gallon of gasoline

We want to find how far the car can go with 11.5 gallons

Step two:

        if 1 gallon can go 28.45 miles

then 11.5gallons will go x miles

cross multiply we have

1x= 28.45*11.5

x=327.175 miles

this is isosceles triangle, so side AB and BC are the same !

9x-8 = 28

9x=36

x=4

Answer:

probably 4 since the sides are the same

Step-by-step explanation:

9x-8=28

28+8=36

9x=36

36÷9=4

x=4