A gardener uses 144 feet of fencing to build a rectangular garden. The function A(w)=24w−w2 can be used to find the area of the garden for a given width, w. Does the function model the situation over the interval 12

Answers

Answer 1

Answer:

Yes, because these widths result in a positive value for area.

Step-by-step explanation:

in imagine math it is c or the bottom left one for me

Answer 2
Final answer:

The question involves using a quadratic function to model the area of a rectangle with a given perimeter. The function is not applicable to a width of 100 feet since it exceeds the logical constraints of the rectangle's perimeter.

Explanation:

The student is asking about determining the dimensions of a rectangular area given a fixed perimeter and using a function to find the area for a given width, w. The function provided, A(w)=24w−w^2, is a quadratic function that models the area of a rectangle with a fixed perimeter of 144 feet. When the width is defined as w=100 feet, we cannot use this particular function to find the area because it would imply an unrealistic negative length for the remaining side, given the fixed perimeter constraint. Therefore, the function can only model the situation over the interval where 0 < w < 24, as the width must be less than half of the perimeter for a rectangle.


Related Questions

Which of the following points lies on the circle whose center is at the origin and whose radius is 10

Answers

Answer:

Step-by-step explanation:

No given points, but you can figure it out from the equation of the circle:

Centered at the origin means that a = b = 0 in

(x-a)^2+(y-b)^2=radius^2

leaving the following:

x^2+y^2=10^2

or x^2+y^2=100

then, from the given points, plug in the coordinates and check to see if it satisfies the equation.

For example, we already know that (10,0) will be on the circle, since it is centered at the origin with radius 10. We can check by plugging into the equation: (10)^2+0^2=100

100=100, so the point lies on the circle.

Side note:

To find which points are within the circle, the equation x^2+y^2<10^2 would have to be satisfied. In this case, (9,0) is one of infinitely many points which satisfies this equation, and therefore is inside the circle.

Answer:

(6,-8)

Step-by-step explanation:

Which probability distribution table corresponds with this frequency distribution table

Answers

Answer:

A.

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Step-by-step explanation:

First find the sum

[tex]\sum f=4+6+1+4+5=20.[/tex]

Now, find the probabilities:

[tex]Pr(x=1)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;[/tex][tex]Pr(x=2)=\dfrac{6}{20}=\dfrac{3}{10}=0.3;[/tex][tex]Pr(x=3)=\dfrac{1}{20}=0.05;[/tex][tex]Pr(x=4)=\dfrac{4}{20}=\dfrac{1}{5}=0.2;[/tex][tex]Pr(x=5)=\dfrac{5}{20}=\dfrac{1}{4}=0.25.[/tex]

Hence, the frequency distribution table is

[tex]\begin{array}{cccccc}x&1&2&3&4&5\\f&0.2&0.3&0.05&0.2&0.25\end{array}[/tex]

Using the probability concept, it is found that the following probability table corresponds to the frequency table:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

The frequency table gives the number of times each outcome happened.A probability is the number of desired outcomes divided by the number of total outcomes.

In the frequency table:

Total of 4 + 6 + 1 + 4 + 5 = 20 outcomes.

The probability of each outcome is:

[tex]p(1) = \frac{4}{20} = 0.2[/tex]

[tex]p(2) = \frac{6}{20} = 0.3[/tex]

[tex]p(3) = \frac{1}{20} = 0.05[/tex]

[tex]p(4) = \frac{4}{20} = 0.2[/tex]

[tex]p(5) = \frac{5}{20} = 0.25[/tex]

Then, the corresponding table is:

x 1 2 3 4 5

p 0.2 0.3 0.05 0.2 0.5

Which is the first table.

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Because of the costs involved in maintaining high temperatures and pressure, nuclear_______________is not yet a practical method for generating electrical energy.

Answers

Answer:

fusion

Step-by-step explanation:

Lance wrote the number 4,953. Then he wrote a number with a 9 digit that is 100 times the value of the 9 in 4,953.

Answers

the answer is 4953 * 100 which is equal to 495300

Answer:

The Number written by lance = 4,953

Face value of ,9 in 4953 = 9

Place value of , 9 in 4953 = 9 × 100=900

So, the number could be

1. 100 × Face value of , 9 in 4,953 = 100 × 9=900

2. 100  × Place value of , 9 in 4,953 =100 × 900=90,000

There is a deck of 70 flashcards and each card has a different number ranging from 1 to 70. Find the theoretical probability of the event when picking from a deck of flashcards. ​P(the number is even​) ​P(the number is even​)eqauls ​(Simplify your​ answer.)

Answers

Half the cards are even, 70/2 = 35 even cards.

The probability of picking an even card = 35/70, which reduces to 1/2

The theoretical probability of the event when picking from a deck of flashcards is [tex]\({\frac{35}{70}}\)[/tex].

To find the theoretical probability of picking an even number from a deck of 70 flashcards, we need to calculate the number of favorable outcomes (even numbers) and divide it by the total number of possible outcomes (all numbers from 1 to 70).

The total number of flashcards is 70, so there are 70 possible outcomes.

Since each card has a unique number from 1 to 70, there are 35 even numbers within this range (2, 4, 6, ..., 70). This is because the even numbers are every other number in the sequence from 1 to 70.

Therefore, the number of favorable outcomes (even numbers) is 35.

 The probability of picking an even number is the number of favorable outcomes divided by the total number of possible outcomes:

[tex]\[ P(\text{the number is even}) = \frac{\text{Number of even numbers}}{\text{Total number of flashcards}} \] \[ P(\text{the number is even}) = \frac{35}{70} \][/tex]

Therefore, the final answer, as requested, is [tex]\({\frac{35}{70}}\)[/tex].


The Fitness Gram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. ... The running speed starts slowly, but gets faster each minute after you hear this signal.

Answers

*ding*ready go 1 *ding* ready go 2

The FitnessGram™ Pacer Test is a multistage aerobic capacity test that progressively gets more difficult as it continues. The 20 meter pacer test will begin in 30 seconds. Line up at the start. The running speed starts slowly, but gets faster each minute after you hear this signal. Ding  A single lap should be completed each time you hear this sound. Ding  Remember to run in a straight line, and run as long as possible. The second time you fail to complete a lap before the sound, your test is over. The test will begin on the word start. On your mark, get ready, ding

A sub graph is not part of a graph true or false

Answers


True a sub graph is not part of a graph

Answer:

no a sub graph is not part of a graph

A yogurt company charges 72 cents for a 6 ounces container of yogurt. How much does it charge for an 8 ounce container?

Answers

Answer:

Step-by-step explanation:

If

72 cents ---> 6 ounces

Xcents  -----> 8 ounces

then

X = [(72)*(8)] / 6

X = 96 cents

Best regards

Final answer:

The yogurt company charges 12 cents per ounce. Therefore, an 8 ounce container would cost 96 cents.

Explanation:

The subject of this question is about cost per ounce for a yogurt container. First, we need to find the cost per ounce. This would be the total cost divided by the number of ounces. In this case, 72 cents for a 6 ounce container gives us 72/6 = 12 cents per ounce. If we then want to find the cost of an 8 ounce container, we can multiply the cost per ounce by the number of ounces. So, 12 cents per ounce times 8 ounces equals 96 cents. Therefore, an 8 ounce container would cost 96 cents.

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(x+2 3/13 ) - 1 7/26 =4 5/39

Answers

The solution of the expression is,

⇒ x = 3,211 / 1,014

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (x + 2 3/13) - 1 7/26 = 4 5/39

Now, We can simplify as;

⇒ (x + 2 3/13) - 1 7/26 = 4 5/39

⇒ x + 29/13 - 33/26 = 161/39

⇒ x + 58/26 - 33/26 = 161 / 39

⇒ x + 25/26 = 161 / 39

⇒ x = 161/39 - 25/26

⇒ x = (4,186 - 975) / 1014

⇒ x = 3,211 / 1,014

Thus, The solution of the expression is,

⇒ x = 3,211 / 1,014

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Jessica made cupcakes for two different events. Her brother delivered 36% of the cupcakes to one of the events. Jessica delivered 58% of the cupcakes to the other event. What percentage of the cupcakes did they deliver? A.
87%
B.
22%
C.
94%
D.
48%

Answers

D is the correct answer
C is the right answer

Shelly has a beaker with 5 2/3 fluid ounces of water. She pours out 3 1/3 fluid ounces of water. Which expression can be used to find the number of fluid ounces of water that remain in the beaker?

Answers

Answer:

option A

Expression [tex]5\frac{2}{3} - 3 \frac{1}{3}[/tex] tells the remain in the beaker.

Step-by-step explanation:

Given in the question,

amount of fluid present in the beaker = 5 2/3 ounce

amount of fluid Shelly took from the beaker = 3 1/3 ounce

To find the amount left after Shelly took water from the beaker

[tex]5\frac{2}{3} - 3 \frac{1}{3}[/tex]

= 7/3 amount left

Answer:

The correct answer option is A. [tex]5 \frac{2}{3}[/tex] - [tex]3\frac{1}{3}[/tex].

Step-by-step explanation:

We are given that Shelly has a beaker with [tex]5 \frac{2}{3}[/tex] fluid ounces of water and she pours out [tex]3\frac{1}{3}[/tex] fluid ounces of water.

We are to determine whether which of the given expressions can be used to find the number of fluid ounces of water that remain in the beaker.

To find the remaining ounces of water, we just need to subtract [tex]3\frac{1}{3}[/tex] from [tex]5 \frac{2}{3}[/tex].

Therefore, the correct answer option is A. [tex]5 \frac{2}{3}[/tex] - [tex]3\frac{1}{3}[/tex].

The value of Jeunesse’s retirement account fell by $678.75 over a period of 3 months. What was the average change in value per month?

Answers

The average change in value per month is 2

$226.25 .

Final answer:

To find the average change in the value of Jeunesse's retirement account per month, you divide the total fall in value ($678.75) by the number of months (3). This results in an average monthly decrease of $226.25.

Explanation:

The problem requires us to compute the average change in Jeunesse's retirement account over a period of three months. The total change is $678.75. To calculate the average change for each month, we need to divide the total change by the number of months. This is also known as finding the average rate of change.

So, to compute it for Jeunesse's retirement account, we have:

Take the total change in the account, which is -$678.75. Divide this by the number of months, which is 3. This results in -$678.75 / 3 = -$226.25

Therefore, the average change per month in Jeunesse's retirement account is -$226.25.

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Use the correct order of operations to solve the problem below. 29 - (5 + 5) - 10 ÷ 2 A. 16 B. 11 C. 14 D. 12

Answers

The answer would be letter D.

[tex]\bold{Hey\ there!} \\ \bold{Do\ PEMDAS} \\ \\ \bold{P:parentheses}\\ \bold{E:exponent}\\ \bold{M:multiplication}\\ \bold{D:division} \\ \bold{A:addition}\\ \bold{S:subtraction}[/tex]

[tex]\bold{29-(5+5)-10\div2}\\ \bold{5+5=10}\\ \bold{29-10-10\div2}\\ \bold{29-10=19}\\ \bold{19-10\div2}\\ \bold{10\div2=5}\\ \bold{19-5=14}\\ \\ \\ \boxed{\boxed{\bold{Answer:C.14}}}\checkmark[/tex]

[tex]\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \frak{LoveYourselfFirst:)}[/tex]

Solve. 7/9 = b/b - 10

Answers

Answer:

No Solution

Step-by-step explanation:

There are no values of  b

that make the equation true.

No solution

Neither are multiple choice questions.

The solution TO A SYSTEM is an ____________ that solves both equations.

A solution to a systems of linear equation is the point where the lines ________________.

Answers

Answer:

1. The solution to a system is an ordered pair that solves both equations.  

2. A solution to a systems of linear equation is the point where the lines intersect

Step-by-step explanation:

How do i solve these questions?​

Answers

In an expression, there are terms, which are a number(s) that are combined by multiplication but separated by addition (if you see subtraction it's just adding the negative version of the number).  In this case, there are 5 terms.  A term can have a variable or it can be a constant.  A constant is just a number.  We can combine constants.  For example, in this case, we can combine 22 and -8 to get 14.  (just adding).  If it has a variable, we can only combine two terms if they have the same variable, so 5m and -4m can be combined to get m.  We replace the terms we have combined with the combined terms so we have m + 7n + 14.

Help me answer this question please

Answers

Answer:

i dont know the answer to this one

Step-by-step explanation:

I’m with the other dude i don’t know the answer

what type of number cannot be written as a fraction

Answers

An irrational number.

Example: Pi. Pi doesn’t have an ending as far as we know, so it cannot be written as a fraction.

Answer:

Any irrational no. Such as √2, √3, π, etc. Cannot be written as a fraction

Hope this helps!

What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

Answers

Answer is 28.07. im sure its correct

Which is the missing term? (10x - 4x^2)-(7x+ ? ) = 3x-6x^2

Answers

2x^2 because you do (-4x^2)-x=(-6x^2) and solve for x to get 2x^2.

Answer:

The missing term is   -2x²

Step-by-step explanation:

It is given that,

(10x - 4x² ) - (7x + ?) = 3x - 6x²

To find the missing term

Let 'M' be the missing term we can write the above equation,

(10x - 4x² ) - (7x + M) = 3x - 6x²

⇒ 10x - 4x²  - 7x + M = 3x - 6x²

⇒ 10x - 7x - 4x² + M = 3x - 6x²

⇒ 3x - 4x² + M = 3x - 6x²

 M = -6x² + 4x²

 M = -2x²

what is 10 times three

Answers

Answer:

The answer is 30

Step-by-step explanation:

10 + 10 + 10 = 30

          (3 x 10)

The answer is 30 but 10 to the power of three is 1000

Hope this helps mark me brainliest

Martha has a bidget for groceries etc. She spent 20% of her budget on groceries. If martha spent $42.00 on groceries how much is her budget.

THIS MATH IS CONFUSING ME

Answers

Final answer:

Martha's total budget for groceries is calculated using the proportion of the amount spent, which is $42.00 corresponding to 20% of her budget. By cross-multiplying and dividing, we find that her total budget is $210.00.

Explanation:

To figure out Martha's budget for groceries based on the percentage she spent, we can use proportions. If Martha spent $42.00 on groceries, which represents 20% of her budget, we can set up the proportion as follows:

20% (the percentage spent on groceries) / 100% (the total budget) = $42.00 (amount spent on groceries) / B (total budget)

Now, we solve for B using cross-multiplication:

20% * B = 100% * $42.00

0.20 * B = $42.00

B = $42.00 / 0.20

B = $210.00

Hence, Martha's total budget is $210.00.

Identify the polynomial.

a 2 + bcd 3

monomial
binomial
trinomial
four-term polynomial
five-term polynomial

Answers

Answer:

Binomial

Step-by-step explanation:

P = a² + bcd³

The polynomial contains two terms, so it is a binomial.

Answer:

The answer is a binomial.

Step-by-step explanation:

In order to determine the answer, we have to know about polynomial.

A polynomial is an mathematical expression where there are different terms. A term is just a variable, representing by a letter, and a coefficient. Terms are different when they have different variable, independent of their coefficients.

When the mathematical expression has just one term, it is called monomial, when it has two terms, it is called binomial, when it has three terms, it is called trinomial.

The polynomial is:

[tex]a^2+bcd^3[/tex]

In this case, there are two terms, so the polynomial is a binomial.

Tyler simplified the expression

Answers

Answer:

"Both powers should be in the denominator with positive exponents"

Step-by-step explanation:

One rule of exponents is  [tex]a^b=\frac{1}{a^-b}[/tex]

This means that the exponent changes sign when brought from numerator to denominator, or vice versa.

Looking at 2nd step of Tyler's work, we can see that he successfully used this rule with the exponent of x, but forgot to change the sign of the power of y to 9.

Since both the powers were negative when in the numerator, they should both be positive when taken to denominator. Hence, the correct answer is "Both powers should be in the denominator with positive exponents"

The price of a certain item is P dollars. The sales tax on the item is 7%. which expression represent the total cost of the item, in dollars, after the tax has been applied?​

Answers

Answer:

1.07p or p + 0.7p

Step-by-step explanation:

The price of any item plus 7% tax can be found by writing an expression. You can write an expression using a variable p where p is the price. You will pay the 100% the whole price and add on 7% of the price as tax. This means you pay 100 + 7 = 107% of the price p. This is 1.07p. Or you can also write it as p + 0.07p.

QUICK !!!
What is the image point of (-8,0) after a reflection over the y-axis ?

Answers

Answer:

0, 8

Step-by-step explanation:

A reflection is the opposite direction so, if it's eight units to the left, the reflection will be eight units to the right, and we know the right is positive and left is negative.

y=2x^2+16x+30 axis of symmetry​

Answers

Answer: The axis of symmetry would be -4. We can easily find it by graphing the equation.

The number of approved soy-based containers produced 10 stamping runs of 240 containers: 225, 227, 227, 228, 230, 230, 231, 238, 238, 240 (MAD)

Answers

You just have to choose the middle one

Answer:

It would be 230

Step-by-step explanation:

but you have to do 230 + 230 and then divide by 2. I mean simple math :| but good luck guys/girls!

*STOP cheating!!

Find the product 12x $578

Answers

Answer:

6936

Step-by-step explanation:

Use long multiplication to evaluate

The quadratic equation -6=x^2+4x-1 in Standard form . What is the value of c in his new equation

Answers

Answer:

c = 5

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 : a ≠ 0

Given

- 6 = x² + 4x - 1 ( add 6 to both sides )

0 = x² + 4x + 5 ← in standard form

with c = 5

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