Find the distance between the two points in simplest radical form.
(1,5) and (-5,8)

It is important to make sure digits and decimals line up when adding and subtracting numbers so as to keep the numbers in the proper place-value column.

This is referred to a number which has the whole number and fractional part being separated by a decimal point such as 11.23.

The solution of 320.456 - 145.73

   320.456

-    145.73  = 174.726

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Answer:

I believe your answer should be 85 miles.

Step-by-step explanation:

1/20 = 4.25/x

1x = 85

85 mi/

y = 10x + 5 is the required equation.

Explanation:

A family of two to go to state fair is $25

A family of six to go to state fair is $65

So the 2 points are (2,25) and (6,65)

Rate of change = (y2-y1)/ (x2-x1)

 Plugin the values, we will get,

                          = (65 - 25)/ (6-2)= 40/4 = 10

Equation can be written as,

(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)

(y-25)/(65-25) = (x-2)/(6-2)

(y-25)/ 40 = (x-2) / 4

4(y-25) = 40(x-2)

4y - 100 = 40x - 80

4y = 40x - 80 + 100

4y = 40x + 20

Dividing the equation by 4, we will get,

y = 10x + 5 is the equation required.

The given statement is true, The set of all possible outcomes during the course of an experiment is called a sample-space.

Sample-space, in probability, is referred to as the collection of all possible outcomes in any random experiment. It is denoted by "S".

Since it is a set, it is shown within the braces.

Given statement,

The set of all possible outcomes during the course of an experiment is called a sample-space.

By the definition of sample space, statement is true.

Example: Toss a coin

Sample-space, S={H,T}

H= head

T= tail

Hence, The set of all possible outcomes of any experiment is called sample-space.

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Answer:

22/5*8/3

176/15

yep that's it

I think..

Answer:

There are no values that are outliers.

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

D. Bank charges a large fee for bouncing a check is not an example of overdraft protection.

Step-by-step explanation:

Overdraft protection is a service offered by banks that allows you to link your checking account to another account, such as a savings account or a line of credit. If you overdraw your checking account, the bank will automatically transfer funds from the linked account to cover the shortfall, which helps you avoid overdraft fees and other penalties.

Option A is not an example of overdraft protection as it refers to earning interest on money in your savings account, which is a separate service.

Option B refers to additional fees collected by the bank when you bounce a check, which is a penalty for not having sufficient funds in your account to cover the check.

Option C refers to an ATM machine providing you with cash, which is a basic function of an ATM and is not related to overdraft protection.

Answer:

J

Step-by-step explanation:

Go to the right 2 units from the origin (0,0) and then down 5 units

The point at that location is J

Answer:

-3 is the answer.

Step-by-step explanation:

=2(-1+3)-7

=2(2)-7

=4-7

=-3

Hope it will help you :)

Both the statements are correct here

Statement (1) is true: the derivative of a constant function is always zero. This is because the slope of a constant function is always zero, and the derivative measures the slope of the function at each point.

Statement (2) is  true. A quadratic function is a function of the form f(x) = ax² + bx + c, where a, b, and c are constants. Taking the derivative of this function gives f'(x) = 2ax + b, which is a linear function as b is constant.

Therefore, both the statements are true about the derivative of a constant is always zero and the derivative of a quadratic function will always be a linear function

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Answer:

10n=

Step-by-step explanation:

During the exponential phase, e.coli bacteria in a culture increase in number at a rate proportional to the current population. If growth rate is 1.9% per minute and the current population is 172.0 million, the population 7.2 minutes from now can be calculated using the following formula:

P(t) = P ₀e^(rt)where ,P₀ = initial population r = growth rate (as a decimal) andt = time (in minutes)Substituting the given values, P₀ = 172.0 million r = 1.9% per minute = 0.019 per minute (as a decimal)t = 7.2 minutes

The population after 7.2 minutes will be:P(7.2) = 172.0 million * e^(0.019*7.2)≈ 234.0 million (rounded to the nearest tenth)Therefore, the population of e.coli bacteria 7.2 minutes from now will be approximately 234.0 million.

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The number of days that this solution will probably last would be = 8 days.

To calculate the number of days the solution will last the following is taken into consideration.

The parameters given which are not in ml should be converted to ml as follows;

2 Oz of Lidocaine to ml = 2×29.6=59.2ml

½tsp of banana flavouring;

= 1/2×4.92

= 2.5ml

Therefore the total volume of the solution = 100+59.2+2.5 = 161.7ml

But 2×10 = 1 day

20ml = 1 day

161.7ml = X

Make X the subject of formula;

X = 161.7/20

= 8.1

= 8 days.

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Answer:

can you write it in a clearer way

Step-by-step explanation:

Step-by-step explanation:

To solve the problem, we'll use the information given to find the values of A and k in the equation T = 20 + Ae^(-kt), where T is the temperature in degrees Celsius at time t.

a. Finding the value of A:

We're given that the initial temperature of the tea was 70℃. Substituting this into the equation, we get:

70 = 20 + Ae^(0) (since e^0 = 1)

70 - 20 = A

A = 50

So the value of A is 50.

b. Finding the value of k:

We're told that it takes 4 minutes for the tea to decrease in temperature from 70℃ to 50℃. We can use this information to set up an equation and solve for k.

Substituting T = 70 and t = 4 into the equation, we have:

70 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

50 = 50e^(-4k)

Dividing both sides by 50:

1 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(1) = ln(e^(-4k))

0 = -4k

Dividing both sides by -4:

0 = k

However, we need to check if this solution satisfies the condition for the tea to decrease in temperature from 70℃ to 50℃ in 4 minutes.

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4(0))

50 = 20 + 50e^0

50 = 20 + 50(1)

50 = 20 + 50

50 = 70

Since 50 is not equal to 70, the value of k = 0 does not satisfy the given condition.

Let's try another approach:

Substituting T = 50 and t = 4 into the equation, we have:

50 = 20 + 50e^(-4k)

Subtracting 20 from both sides:

30 = 50e^(-4k)

Dividing both sides by 50:

0.6 = e^(-4k)

Taking the natural logarithm (ln) of both sides:

ln(0.6) = ln(e^(-4k))

ln(0.6) = -4k ln(e)

ln(0.6) = -4k(1)

ln(0.6) = -4k

Simplifying further:

k = ln(0.6) / -4

Using a calculator or computer to evaluate ln(3/5) / -4, we get approximately:

k = ln(5/3) / 4

To recap:

a. The value of A is 50.

b. The value of k is approximately k = ln(5/3) / 4

.

Note: The calculations provided are based on the given information and assumptions. If there are any additional details or specific conditions provided, please let me know, and I'll be happy to assist you further.

The age of oldest is 44 and age of youngest is 18.

We have,

Sum of age of 3 brother = 36

let the age of three brother be x, y and z.

so, x + y + z = 36

x = y + z

After 8 year, (z+ 8) = 2(x+8)

z+ 8 = 2x+ 16

2x - z +8=0

Thus, the age of oldest is 44 and age of youngest is 18.

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The Translation of the given question is:

The sum of the ages of 3 brothers is 36. The age of the eldest is equal to the sum of the two younger brothers, within 8 years the younger will double the age of the older, what is the age of the brothers?

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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Given the Trigonometric Functions:

Using your calculator you get:

By definition, Secant is negative in Quadrant III.

Finds its Reference Angle as follows:

Because:

Then, you get:

Notice that:

Then, you can conclude that it is in Quadrant II.

Therefore its Reference Angle is:

So you can set up:

By definition:

Therefore, you can rewrite it in this form:

Hence, the answer is:

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

If b=5:7, find the value of B in terms of c

Answer:

2x + 70 = 110

x = 20

Step-by-step explanation:

180-110 = 70

70 + 20 + y = 180

y =90

The area of a 2D form is the amount of space within its perimeter. The pressure on the table is 277.5574 N/m².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

Given that the radius of the table is 85 centimetres. Therefore, the radius of the table in meter can be written as,

1 meter = 100 centimeter

85 centimeter = 0.85 meter

Now, the area of the table is,

Area of the table top = π × r²

                                   = π × (0.85 meter)²

                                   = 2.2698 meter²

Further, it is given that the force of 630 N is applied to the whole table top. Therefore, the pressure on the table can be written as,

Pressure = Force / Area

               = 630N / 2.2698 meter²

               = 277.5574 N/m²

Hence, the pressure on the table is 277.5574 N/m².

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Answer:

(3, 4)

Step-by-step explanation:

The description of the area of a square is (c) as the length of the side increases, the area increases.

The table of values is given as:

Side Length (cm)        Area (cm²)

1                                       1

2                                      4

3                                      9

4                                      16

5                                    25

In the above table, we can see that:

As length increases, the area also increases

Hence, the description of the area is (c) as the length of the side increases, the area increases.

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Consider the given inequality,

Note that a square root inequality is defined only if the 'x' is non-negative.

Now, squaring both sides will not affect the inequality as both sides are positive terms,

Combining the two results,

Thus, the solution set to the inequality is the set of all real numbers from 0 to 121 .

Answer:

Step-by-step explanation:

factor each total

27 = 3 x 3 x 3

18 = 3 x 3 x 2

45 = 3 x 3 x 5

The largest (and only) common factor is 3

however each factorization also contains the product 3 x 3 = 9

so the maximum each bag may have cost is $9 and if so, she sold 5 bags of sugar cookies.

another option would be that each bag cost $3 and she sold 15 bags of sugar cookies. However, the question asked for the maximum possible price.

Answer: 125/27 as a decimal 4.62963

Step-by-step explanation:

((32)(5−2))−2(3(5−1))

((32)(5−2))−2(3(5−1))