Determine the constant rate of change

No, the gardener does not have enough fencing for the area of the garden to be 1300 square feet. The maximum possible area that can be achieved with 140 feet of fencing is given by the function A(w) = 70w - w^2. We need to find the width value (w) that corresponds to an area of 1300 square feet.

To determine if the gardener has enough fencing, we can set up an equation using the given function: 1300 = 70w - w^2. Rearranging this equation, we get w^2 - 70w + 1300 = 0.

By solving this quadratic equation, we find that the roots are w = 25 and w = 45. Since the width value (w) must be positive, we can conclude that the width of the garden cannot be 45 feet. Therefore, the gardener does not have enough fencing to create a garden with an area of 1300 square feet.

In summary, based on the given quadratic equation, the gardener cannot achieve an area of 1300 square feet with the available 140 feet of fencing. The maximum achievable area corresponds to a width of 25 feet.

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Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer

a = 0

Explanation

a + 5 = -5a + 5

We will bring the terms with a togther and the terms without together

a + 5 = -5a + 5

a + 5a = 5 - 5

6a = 0

Divide both sides by a

(6a/6) = (0/6)

a = 0

Hope this Helps!!!

Answer:

this is the solution of your questions don't mind my handwriting because I write it fast ⏩

Step-by-step explanation:

s

To solve the equation 5{2p-4(p+5)}=25, simplify the expression inside the curly brackets, combine like terms, and solve for the variable p. The solution is p = -12.5.

The given expression is 5{2p-4(p+5)}=25.

We need to find the solution of p.

Apply distributive property:

5(2p-4p-20)=25

10p-20p-100=25

-10p-100=25

Add 100 on both sides:

-10p=25+100

-10p=125

Divide both sides by -10:

p=-125/10

p=-12.5

Hence, the value of p is -12.5.

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Answer:

I know for a fact its the first and third ones but if there are more than those two I don't know

Step-by-step explanation:

Answer:

triangles ABC and DCB are congruent by the side-angle-side triangle congruence theorem is the correct answer

hope it helps you!

Answer:

B.   3,158

Step-by-step explanation:

h(x) = -49x − 125

Let x = -67

h(-67) = -49(-67) − 125

          =3283-125

          = 3158

Answer:

Answer B

Step-by-step explanation:

To find the value of h(-67) for the function h(x) = -49x - 125,

we substitute -67 for x in the function and evaluate it.

h ( - 67 ) = - 49 ( - 67 ) - 125

Now we can simplify the expression:

h ( -67 ) = 3283 - 125

h ( -67 ) = 3158

Answer

74.40

Step-by-step explanation:

circumference= 2πr

so, 12×2×pi= 24π

24π= 75.39822369

=75.40

Answer:

6/8

Step-by-step explanation:

You can multiply the denominator of 4 by two to get 8. But you need to do the same to the numerator, which gives you 6.

Answer:

6/8

Step-by-step explanation:

you multiply both numbers by 2

Answer: p - q = 39

Step-by-step explanation: Sum of roots = -b/a

Therefore 3 + (-4) = -p/3

-1 = -p/3

-p = -1 x 3

-p = -3

p = 3

Product of roots = c/a

Therefore 3 x (-4) = q/3

-12 = q/3

q = -12 x 3

q = -36

Finally, p = 3, and q = -36

Therefore p-q = 3 - (-36)

= 3 + 36

= 39

Answer:

Step 1: Find the second and third terms of the sequence:

Multiply the first term (8) by 2 and add on the unknown value of a: 8 × 2 + a = 16 + a

Step 2: To find the fourth term (127), multiply the third term by 2 and add on a: (16 + a) × 2 + a = 32 + 2a + a = 127

Step 3: Solve for a by subtracting 32 and 2a from both sides: 127 - 32 - 2a = a

Step 4: Simplify the equation to find the value of a: 95 = a

Therefore, the value of a is 95.

The experimental probability of generating an even number other than 8 is approximately 0.35.

To calculate the experimental probability, we need to determine the ratio of favorable outcomes (even numbers other than 8) to the total number of outcomes (300 single-digit numbers generated).

Out of the 300 numbers generated, 154 are even. However, since we want to exclude the number 8, we subtract the frequency of 8 (22 times) from the total even numbers, resulting in 154 - 22 = 132 favorable outcomes.

The experimental probability is then calculated by dividing the favorable outcomes (132) by the total number of outcomes (300), giving us 132/300 = 0.44. Rounding this value to the nearest hundredths place, we get approximately 0.44.

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Answer:

52 adults and 42 children attended the concert

Step-by-step explanation:

Given:

Total attendees=94 people

Adults tickets=$2.5

Children tickets=$1.75

Total receipts=$203.5

Let adults=a

Children=c

a+c=94 (1)

2.5a + 1.75c=203.5 (2)

From (1)

a+c=94

a=94-c

Substitute a=94-c into (2)

2.5a + 1.75c=203.5

2.5(94-c) + 1.75c=203.5

235-2.5c+1.75c=203.5

-0.75c=203.5-235

-0.75c=-31.5

Divide both sides by -0.75

-0.75c/-0.75=-31.5/-0.75

c=42

Substitute c=42 into (1)

a+c=94

a+42=94

a=94-42

=52

a=52

Therefore,

52 adults and 42 children attended the concert

Answer:

m=14

Step-by-step explanation:

Step 1:

           m

Simplify   —

           2

Equation at the end of step 1 :

      m          

 (3 • — ÷ 3) -  7  = 0  

      2          

STEP 2 :

        m      

Divide  —  by  3

        2      

Equation at the end of step 2 :

      m      

 (3 • —) -  7  = 0  

      6      

STEP 3 :

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

        7     7 • 2

   7 =  —  =  —————

        1       2  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

m - (7 • 2)     m - 14

———————————  =  ——————

     2            2    

Equation at the end of step

3

:

 m - 14

 ——————  = 0  

   2    

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 m-14

 ———— • 2 = 0 • 2

  2  

Now, on the left hand side, the  2  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  m-14  = 0

Solving a Single Variable Equation:

4.2      Solve  :    m-14 = 0  

Add  14  to both sides of the equation :  

                     m = 14

One solution was found :

m = 14

Given the equation:

Solve the equation for y:

So, the answer will be:

Answer:

^{4}+36+8x^{2}

x^{4}+8x^{2}+36

Step-by-step explanation:

Find the domain by finding where the equation is defined. The range is the set of values that correspond with the domain.  

i hope this helped

Answer:

Step-by-step explanation:

When the problem is asking which lines have a slope of -2, this is referring to the steepness or rate of change. To determine which lines have a slope of -2, the line must have a rise of -2 and a run of 1. This means that the line will go down 2 units every 1 unit to the right.

Also, if a line is parallel (lines which never cross), it will have the same slope.

You can also eliminate lines c, and d because they increase while lines a, and b decrease. A and B have the same slope because they are parallel and decrease which means that this must be the answer.

Volume of the cylinder = πr²h

see explanation below

A cylinder comprises of two circles and a curved part.

To get the volume, we would multiply the area of the circle with the height of the cylinder

The height of the cylinder is the distance between the two circular ends

Area of a cirlce is pi multiplied by radius squared

Area of circle = π×r² = πr²

where r = radius

h = height of the cylinder

Volume of the cylinder becomes = πr² × h

Volume of the cylinder = πr²h

The solution to the equation 4(x+2) = x-1 is x = -3.

To solve the equation, we'll simplify and isolate the variable x.

Given equation: 4(x+2) = x-1

Expanding the left side of the equation, we have: 4x + 8 = x - 1.

Next, we'll collect like terms by subtracting x from both sides of the equation: 4x - x + 8 = -1.

Simplifying further, we get: 3x + 8 = -1.

To isolate the variable x, we'll subtract 8 from both sides of the equation: 3x + 8 - 8 = -1 - 8.

Simplifying this, we have: 3x = -9.

Finally, we'll divide both sides of the equation by 3 to solve for x: 3x/3 = -9/3.

The solution is x = -3.

Therefore, the correct option is F. -3.

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Answer:

it is A the meidian is the middle number in a orderd set

A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications. The sample is used to calculate the confidence interval, which represents the range of likely population parameters. In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time.

Given,

Number of credit card holders

n = 450

x = 127

p = 127/450

Proportion:

p = 0.2822

99% confidence interval:

C I = 0.2822 ± 2.576 × 0.2122

CI = 0.2822 ± 0.05465

CI = 0.282 + 0.055

A 99% confidence interval for the proportion of all credit card holders who pay all their credit card bills in full each month is 0.282 + 0.055.

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The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.

In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.

Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.

By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.

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Answer:

It would take 2.5 cups of flour to make 1 loaf of bread.

Step-by-step explanation:

You would 7.5 divided by 3 to get how much it would take for 1 loaf of bread.

7.5/3 = 2.5

it would take 2.5 cups of flour to make 1 loaf of bread.

Answer:

its C

Step-by-step explanation:

Answer:

16/3 pounds

Step-by-step explanation:

We are give that each friend took 2/3 pound of grapes from the bowl. Therefore, to know the total amount taken by the four friends, we will simply do cross multiplication as follows:

1 friend .................> 2/3 pounds

4 friends ...............> ?? pounds

Amount taken by the 4 friends = [4*(2/3)] / 1 = 8/3 pounds

The bowl originally had 8 pounds and 8/3 pounds were taken, therefore:

remaining amount = 8 - 8/3 = 16/3 pounds                                                                           hope this helps!

Step-by-step explanation:

The answer can be read off the intersection of the graph, which is (1,5), i.e. one unit in x and 5 units in y.

Let's see.. 9+10= 19.

Step-by-step explanation:

Akmal=A

Aisyah=B

Atikah=C

B=m

A=2m

C=2m+25

C-B=?

2m+25-m=

=m+25

Answer:

y = 9

x = 9√2

Step-by-step explanation:

Step-by-step explanation:

tan 45= y/9

1=y/9

cross multiply

y= 9

sin 45=y/x

but y= 9

sin 45 = 9/x

0.7071=9/x

cross multiply

0.7071x= 9

x= 9/0.7071

x= 9√2

Answer:

For 1 figure, 2 pints are used

Step-by-step explanation:

9 figures = 18 pints

1 figure = 18/9

1 figure = 2 pints

Hope this helps!