Suzy can bike 40 miles in 30 minutes. How far can she go in 2 hours?​

Answer:

-1

Step-by-step explanation:

f(-4) means to find the y-value where x is -4. The blue graph passes through the point (-4,-1), so y=-1 when x=-4.

The logistic model of the projected magazine sales is P = e¹⁰⁰⁰/1+e¹⁰⁰⁰

What is meant by logistic model?

In math, logistic model refers a statistical analysis method to predict a binary outcome, such as yes or no, based on prior observations of a data set.

Here we have given that our new magazine initially sells 400 copies per month. research indicates that a vigorous advertising campaign could increase sales by 30% each month if our market were unlimited. but research also indicates that magazine sales in our area are unlikely to exceed 2000 per month.

Here we need to make a logistic model of projected magazine sales.

As per the formula of logistic model, while we looking into the given question, we identified the values,

a = 400

x = 30% => 0.3

b = 2000

Then the logistic model of the given situation is written as,

=> P = e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰/ 1 +  e⁴⁰⁰⁺⁰°³ˣ²⁰⁰⁰

=> P = e¹⁰⁰⁰/1+e¹⁰⁰⁰

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Answer:

99 units.

Step-by-step explanation:

The cost function for manufacturing x units of a certain product is:

\(C(x)=x^2-15x+34\)

We want to find the number of units manufactured at a cost of $8350. Therefore:

\(8350=x^2-15x+34\)

Subtract 8350 from both sides:

\(x^2-15x-8316=0\)

This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:

\(\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)

In this case, a = 1, b = -15, and c = -8316. Thus:

\(\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}\)

Simplify:

\(\displaystyle x=\frac{15\pm\sqrt{33489}}{2}\)

Evaluate:

\(\displaystyle x=\frac{15\pm183}{2}\)

Therefore, our solutions are:

\(\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84\)

We cannot produce negative items, so we can ignore the second answer.

Therefore, for a cost of $8350, 99 items are being produced.

Find

For the first part

For the second part

For the third part

For the last part

The area of a square inscribed in a circle is 25, then the area of the circle is 25π/2 or approximately 39.27 square units.

To solve this problem, we can use the relationship between the area of a square inscribed in a circle and the area of the circle itself.

When a square is inscribed in a circle, the diagonal of the square is equal to the diameter of the circle. Let's assume that the side length of the square is 's' and the radius of the circle is 'r'.

We are given that the area of the square is 25, so we can find the side length of the square:

Area of square = \(s^2 = 25\)

Taking the square root of both sides, we get:

s = √25 = 5

Since the diagonal of the square is equal to the diameter of the circle, we can find the diameter of the circle:

Diagonal = Diameter = s√2 = 5√2

The radius of the circle is half the diameter, so:

Radius = 5√2 / 2 = (5√2)/2

Now, we can calculate the area of the circle using the formula:

Area of circle = \(\pi r^2\)

Substituting the value of the radius, we get:

Area of circle = π((5√2)/\(2)^2\) = π(25/2) = 25π/2

Therefore, the area of the circle is 25π/2 or approximately 39.27 square units.

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Inequality representing the situation is x>5.4

In Algebra, an inequality is defined as mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions. An inequality symbol has nonequal expressions on both sides. It signifies that the phrase on the left should be bigger or smaller than the expression on the right, or vice versa.

"A connection is referred to an inequality if two real numbers or algebraic expressions are connected by the symbols ">," "," "," or "."

More than 5.4 miles separate Gavin's home from his school.

Let the number of miles that separate Gavin's home from his school= x

Inequality representing the situation

distance of Gavin's home and his school>5.4

x>5.4

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Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)

Answer:

Step-by-step explanation:

circumference=2πr

=2*3.14*2

=12.56 km

6 inches will be the length of the patio.

According to the scale, 1 inch on the plan corresponds to 3.5 feet in real life.

We must convert the patio's real length of 21 feet to inches using the scale in order to determine how long it would look on the blueprint:

3.5 feet to one inch

21 feet in x inches

If we cross-multiply, we obtain:

1 inch/3.5 feet * 21 feet

= x inches

= 6 inches.

As a result, the length of the patio will be indicated on the blueprint as 6 inches.

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Answer:

            4  to  1

Step-by-step explanation:

                                                Tablespoon of cocoa   to Tablespoon of sugar

                                                                          8             :                2

                                                                          \(\frac{8}{2}\)              :                \(\frac{2}{2}\)

                                                                          4             to                1

When recipe is doubled:                             ( 8 x 2)         to        (2 x 2)

                                                                         16             :              4

                                                                         \(\frac{16}{4}\)             :               \(\frac{4}{4}\)

                                                                          4           to              1

It can be observed that the ratio remains the same

Therefore, the explicit formula for f(n) is: f(n) = 10 * \(3^{(n - 1)}\)

f(1)=10

An explicit formula for f(n), the number of members the creators have a goal of getting n weeks after the website is made available, can be determined by using the information provided that the number of members is tripled every week.

So, we can start with the initial number of members (10) and multiply it by 3 for each week.

Therefore, the explicit formula for f(n) is:

f(n) = 10 * \(3^{(n - 1)}\)

A recursive formula for f(n) can be determined by using the information that the number of members is tripled every week, and the initial number of members is 10.

So, we can start with the initial number of members (f(1)=10) and use the previous value of f(n-1) to calculate the current value of f(n).

Therefore, the recursive formula for f(n) is:

f(n) = 3f(n-1) + 10

for n>1

f(1)=10

In this way, we can calculate the number of members for any week using the explicit formula or the recursive formula.

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Answer:336.57

Step-by-step explanation:

Answer:

87.259.

Step-by-step explanation:

Answer:

a or b but i think a

Step-by-step explanation:

Answer:

It is not possible... I think so

Answer:

Step-by-step explanation:

For step explanation:

1. write the problem

2. distinguishing the neg sign

3. distributing 3

4. moving like terms next to each other through commutative property

5.  Combining like terms

6. getting rid of parentheses

Answer:

x = -19

Step-by-step explanation:

first isolate x by subtracting 8 on both sides:

179 = -9x + 8

-8              -8

=> 171 = -9x

then divide -9 on both sides to solve for x:

=> x = 171 ÷ -9 = -19

hope it helps ;)

Answer:

Step-by-step explanation:

sp = 504

gain = 12%

in this case

sp =100%+12%=504

112%=504

1%=504/112 =4.5

100%=450

so cost =$450

Hope im correct, if i am im glad to be of service.

Answer:100

Step-by-step explanation:

40+40 =80 +20=100

Answer: it was be cos4

Step-by-step explanation: 1/2 divided by 3/4 = cos4

Answer:254 days

Joanne and Ed Greenwood built a new barn with an attached arena. To finance the loan, they paid $1,326 interest on $47,600 at 4%. What was the time, using exact interest? (Do not round intermediate calculations. Round up your answer to the nearest day.)

Step-by-step explanation

Note that

Interest is represented by I=1326

The principal is represented by P=47,600

Rate is R =4%

And Time is year

Interest is calculated using the formulae,

I =PRT/100

From the above formulae, time can be calculated as

T=100I/PR

T= 100×1326/(47600×4)

T= 132600/190400

T= 0.6964 years

To convert to days, multiply by 365(since those no of days make a year)

T= 0.6964×365=254 days

This was approximated to the nearest day

Answer is 254 days

-16p was my answer after simplifying it

Answer:

120p - 16p = 104p

Step-by-step explanation:

-3p x -3p = 9p + 6p = 15p x 8p = 120p

8p x -2 = -16p

120p - 16p = 104p

Please wait for more responses if needed thank you.

Answer:

A. 67.12 cm²

Step-by-step explanation:

The rectangle is 3 cm by 6 cm.

area of rectangle = 3 cm × 6 cm = 18 cm²

The triangle has a 6 cm base and an 8 cm height.

area triangle = 6 cm × 8 cm / 2 = 24 cm²

The semicircle has a diameter of 8 cm and a radius of 4 cm.

area semicircle = (1/2)(3.14)(4 cm)² = 25.12 cm²

Add the three areas to find the total area.

18 cm² + 24 cm² + 25.12 cm² = 67.12 cm²

Answer: A. 67.12 cm²

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

The person who pays more after each additional day d after day 0 is Patricia.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

Emily:

P = 2d - 1

After 3 days, the price for renting the book.

P = 2 x 3 - 1 = 6 - 1 = $5

Patricia:

After 3 days, the price for renting the book.

= $20

Thus,

Patricia pays more for each additional day.

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Answer:

80%

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

The Movies For Less charges $5 more than Movies Plus.Therefore, option A is correct.

According to the statement

we have to find that the Which statement is true if 15 movies are rented from each company.

So, For this purpose, we know that the

From the given information:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents.

So, 15 movies from this provider will cost = 10+2(15)

15 movies from this provider will cost = 40 dollars

Movies For Less charges $3 for each movie but does not have a monthly service fee.

So, 15 movies from this provider will cost =  15 *3 dollars.

15 movies from this provider will cost =  45 dollars.

Comparing both providers,

Then

we can see that Movies For Less charges $5 more than Movies Plus.

Therefore, option A is correct.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Movies Plus charges its customers a $10 monthly service fee plus $2 for each movie the customer rents. Movies For Less charges $3 for each movie but does not have a monthly service fee. The costs of renting movies during the same month is represented in the table below.

Which statement is true if 15 movies are rented from each company?

A)Movies For Less costs $5 more.

B)Movies Plus costs $5 more.

C)Movies Plus costs $6 more.

D)Each company charges the same amount.

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The value of c does not affect the covariance of Y and Z.

The covariance of Y and Z can be calculated as Cov(Y, Z) = E[YZ] - E[Y]E[Z]. Since X is Bernoulli with parameter p and E[X] = p, we have E[Z] = pE[Y]. Hence,

Cov(Y, Z) = E[YZ] - E[Y]E[Z]

= E[YXY] - pE[Y]^2

= pE[Y^2 X] - pE[Y]^2

= p(E[Y^2]E[X] + Var[Y]p) - pE[Y]^2

= p(1 * p + 1 * p^2) - p^2

= p - p^2

It can be seen that the value of c does not affect the covariance of Y and Z.

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