ter 1: Interval Notation and Set Notation > Section Exercises 1.1 > Exercise 37
You are marking a rectangular paintball zone that must be 34 meters wide and have a perimeter of at least 140 meters but not more than 260 meters Find the interval for
the length 2 of the rectangular paintball zone. Write your answer in interval notation,
The interval for z is

Answers

Answer 1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Width(w) of rectangular paintball must be = 34 meters

Perimeter of atleast 140m but not more than 260 meters

Perimeter of a rectangle (p) : 2 (l + w)

P = 140

Then ;

140 = 2(l + 34)

140 = 2l + 68

140 - 68 = 2l

72 = 2l

l = 72/ 2 = 36 meters

P = 260

260 = 2(l + 34)

260 = 2l + 68

260 - 68 = 2l

192 = 2l

l = 192/ 2 = 96 meters

Hence the length must be between 36 meters and 96 meters

The interval z, for the length :

36 ≤ z ≤ 96


Related Questions

Please help me on this question

Answers

Answer:

please mark my answer brainliest

Step-by-step explanation:

11 students 26 students that 2 small divisions =1 unit =1 student

Kathy found a job listed on an employment web site that pays a yearly salary of $27,630. What is
the biweekly salary based on this annual salary rounded to the nearest cent?
Do not include a dollar sign in your answer.​

Answers

Answer:

1151.25

Step-by-step explanation:

You would divide $27,630 by 12 months.

You would then have her monthly salary. Since there are 4 weeks in a month, she has two pay periods. You would divide her monthly salary (2302.5) by two weeks, to get $1151.25

Determine the degree of the Maclaurin polynomial required for the error in the approximation of the function at the indicated value of x to be less than 0.001.

Answers

Answer: n> or equals to 3

Step-by-step explanation:

Find explanation on the attachment

The fox population in a certain region has a continuous growth rate of 5% per year. It is estimated that the population in the year 2000 was 10,100 foxes.
a) Find a function that models the population,P(t) , after (t) years since year 2000 (i.e. t= 0 for the year 2000).
b) Use your function from part (a) to estimate the fox population in the year 2008.
c) Use your function to estimate the year when the fox population will reach over 18,400 foxes. Round t to the nearest whole year, then state the year.

Answers

Answer:

P(t) = I × ( 1 +g)^t

14922

2013

Step-by-step explanation:

Given the following :

Growth rate (g) = 5% = 0.05

Initial population (I) = 10,100

Time (t) = t (t = 0 in year 2000)

A) population function P(t)

P(t) = I × ( 1 +g)^t

P(t) population in t years

I = inital population

g = growth rate

t = years after year 2000

B) Population Estimate in year 2008

2008 - 2000 = 8 = t

P(8) = 10,100 × ( 1 +0.05)^8

P(8) = 10,100 × (1.05)^8

P(8) = 10,100 × 1.4774554437

P(8) = 14922.299 = 14922

C.) Nearest whole year when population will reach over 18,400

18,400 = 10,100 × ( 1 +0.05)^t

18400 = 10,100(1.05)^t

1.05^t = 18400 / 10,100

1.05^t = 1.8217821

In(1.05^t) = ln(1.8217821)

(0.0487901)t = 0.5998152

t = 0.5998152 / 0.0487901

t = 12.293789

To attain a population of 18400 and over, the nearest whole year = 13 years

2000 + 13 = 2013

Solve the equation
(If possible please show work)

Answers

Answer:

x = 0

Step-by-step explanation:

First, distribute the -4 to the parentheses:

-4 + 3x = 2x - 4(1 - 3x)

-4 + 3x = 2x - 4 + 12x

Then, add like terms:

-4 + 3x = 14x - 4

Solve for x:

3x = 14x

0 = 11x

0 = x

Answer:

x=0

Step-by-step explanation:

We are given the following equation and asked to solve. We must solve for x by isolating x on one side of the equation.

-4 + 3x= 2x-4(1-3x)

First, distribute the -4. Multiply each term inside the parentheses by -4.

-4+3x=2x + (-4*1) + (-4*-3x)

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

-4+3x= 2x-4+12x

Combine like terms on the right side of the equation. The terms 2x and 12x can be added.

-4+3x= (12x+2x)-4

-4+3x=14x-4

Next, subtract 3x to both sides of the equation.

-4+3x-3x=14x-3x-4

-4= (14x-3x)-4

-4= 11x-4

Next, add 4 to both sides of the equation.

-4+4=11x-4+4

-4+4=11x

0=11x

Finally, divide both sides of the equation by 11.

0/11= 11x/11

0/11=x

0=x

The solution to the equation -4 + 3x= 2x-4(1-3x)  is x=0

How many ways can 4 people sit in a table of 6 seats? A.120
B.24
C.360
D.15

Answers

Answer:

I thought it would be 24

I need help with b and d

Answers

B) -2x - 3y2 + 1 or 1 - 3y2 - 2x (rearrange)
Step-by-step:
add (-9) & (+10) to get (+1) : (-9+10 = 1)
= -4x + y2 + 1 - x + 3x - 4y2
combine (-4x) & (-x) to get (-5x) : (-4x+ (-x) = -4x-x = -5x)
= -5x + y2 + 1 + 3x - 4y2
combine (-5x) & (3x) to get (-2x) : (-5x + 3x = -2x)
= -2x + y2 + 1 - 4y2
combine (y2) & (-4y2) to get (-3y2) : (y2 + (-4y2)) = y2 - 4y2 = -3y2)
= -2x - 3y2 + 1 Or 1 - 3y2 - 2x (rearrange)

---

D) -4xy + 4y2 - y - 10 or -10 - 4xy - 4y2 (rearrange)
Step-by-step:
subtract 20 from 0 to get −20 (0-20 = -20)
= −20 − 5xy + 4y2 + 10 − y + xy
add (-20) & (10) to get (-10) : (-20+10 = -10)
= -10 -5xy + 4y2 - y + xy
combine (-5xy) & (xy) to get (-4xy) : (-5xy + xy = -4xy)
= -10 - 4xy + y2 - y or (-4xy + 4y2 - y - 10) (rearrange)


Calculate the total percentage of the shaded
region in both circles.

Answers

Answer:

80%

Step-by-step explanation:

Total area is the area of two circles. Each circle if accepted as a unit, in total it equals to 2 units.

Shaded area:

1 + 3/5 = 8/5

Percentage of shaded area compared to total:

8/5 ÷ 2 = 4/5 = 0.8 =80%

Answer: 80% of all region is shaded

Rayée sold 3 desks at the local trade show. H paid $4.00 to rent the booth. He gave half of his revenue to the carpenter and was left with $185.50. At what price did he Rayen sell with each desk

Answers

Answer:

$125

Step-by-step explanation:

Given the following :

Number of desks sold = 3

Amount of rent paid = $4

Amount paid to carpenter = 1/2 of revenue

Amount left = $185.50

At what price did Ryan sell each desk?

If Rayee gave half of his revenue to the carpenter and then had $185.50 left,

The his revenue before paying the carpenter will be twice what he has left ($185.50 * 2) = $371

Hence, total revenue from the sale of 3 desk= ($371 + rent) = (371 + 4) = $375

Then each desk cost :

$375 / 3 = 125

$125

For each problem, find the missing value using the Pythagorean Theorem

Answers

Answer: [tex]\sqrt{66}[/tex]

Step-by-step explanation:

The Pythagorean Theorem says that a^2 + b^2 = c^2  where a and b are the two legs.  

In this care leg 1 is 4 and leg two is the square root of 50. So we will square them to find c which is the hypotenuse.

4^2 + [tex]\sqrt{50} ^2[/tex]  = C^2

16 +  50 = c^2

  66 = c^2

    c =[tex]\sqrt{66}[/tex]  

(3x − 4)(2x2 + 2x − 1)

Answers

Answer:

6x3−2x2−11x+4

Step-by-step explanation:

the numbers after the x are squared

I need #5 and #7 answered please.

Answers

Answer:

Step-by-step explanation:

5). y = 4 - x²

   Table for the points on this function will be,

   x          -2          -1          0           1           2

   y           0          3          4           3           0

  Therefore, Domain of the function will be: (-∞, ∞)

  And Range of the function will be : (-∞, 2]

7). [tex]y=2+\sqrt{x-1}[/tex]

    This function is defined from the values of x ≥ 1

   Table for the input-output values of this function is,

   x        1          2         5         10          17  

   y        2         3         4          5           6  

   Therefore, Domain of the function will be: [1, ∞)

   And Range of the function : [2, ∞)

Short Response 16. Parallel lines p and q are cut by transversal t to form angles 1-8. If 22 and 27 are alter- nate exterior angles, 27 and 26 are vertical angles, and 26 and 24 are consecutive interior angles, what can you conclude about the relationship between the angle measures of 22 and 24? Explain.

I don’t understand how to solve this, please help!!​

Answers

Answer:

see below (I hope this helps!)

Step-by-step explanation:

Alternate exterior angles are congruent so we know that ∠2 ≅ ∠ 7. Vertical angles are also congruent so ∠7 ≅ ∠6. Consecutive interior angles are supplementary so we know that ∠6 and ∠4 are supplementary. Now, we can use the Transitive Property (this states that if a = b and b = c then a = c) to compare ∠2 and ∠4. In this case, a = ∠2, b = ∠7 and c = ∠6 so we know that ∠2 ≅ ∠6 and since ∠6 is supplementary to ∠4, we can use the Transitive Property again to conclude that ∠2 and ∠4 are supplementary.

5x+7+3x=-8+3x please solve it before 8:30

Answers

Answer:

x=-3

Step-by-step explanation:

5x+7+3x=-8+3x

Combine like terms

8x+7 = 3x-8

Subtract 3x from each side

8x+7-3x = 3x-8-3x

5x+7 = -8

Subtract 7 from each side

5x+7-7 = -8-7

5x = -15

Divide each side by 5

5x/5 = -15/5

x = -3

Name an angle that is supplementary to

Answers

Answer:

to what?

Step-by-step explanation:

please help me on this

Answers

Answer:

Median

Step-by-step explanation:

A line that goes from the vertex of a triangle to the midpoint of the opposite side is a median.


The area of a triangle is 150 cm- and its sides are in the ratio 3: 4:5. What is its perimeter?
(A) 10 cm
(B) 30 cm (C) 45 cm
(D) 60 cm

Answers

hey, your answer is d) 60cm

Reemu read 1·5 pages of a book. If she read further 40 pages,she would have read 7.10 pages of the book. How many pages are left to be read?

Answers

Answer:

Let total pages be x

ATQ,

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

Answer:

(x/5)+40=7x/10

(x+200)/5=7x/10

Cross multiply

10x+2000=35x

10x-35x=-2000

-25x=-2000

x=2000/25

x=80 pages

Therefore pages left= 3/10 of pages

=3*80/10=24 pages

ther u is good person

The area of a rectangle is 560 cm^2. The length is 3 more than twice the width. Find the dimensions of the rectangle.

Answers

Let the width be x.

Then,length = 2x + 3

Area of rectangle = 560 [ Given ]

⇒ l × b = 560

⇒ ( 2x + 3 ) x = 560

⇒ 2x² + 3x - 560 = 0

⇒ 2x² + 35x - 32x - 560 = 0

⇒ x ( 2x + 35 ) - 16 ( 2x + 35 ) = 0

⇒ ( x - 16 ) = 0 and ( 2x + 35 ) = 0

⇒ x = 16 and x = -35/2 [ Ignore negative number ]

★ Width = x = 16 cm

★ Length = 2x + 3 = 2 × 16 + 3 = 32 + 3 = 35 cm

Write the expression in exponential form.
[tex] \sqrt{10} [/tex]

Answers

Answer: 10^(1/2)

When we use an exponent of 1/2, it is the same as a square root. The more general rule is

[tex]\sqrt{x} = x^{1/2}[/tex]

In this case, we plug in x = 10.

The use of a fractional exponent is handy when you want to deal with things like cube roots on a calculator. This is because

[tex]\sqrt[3]{x} = x^{1/3}[/tex]

Many calculators don't have a button labeled [tex]\sqrt[3]{}[/tex] but they have the button [tex]x^y[/tex] to allow fractional exponents.

1.2.41
Yuson used her calculator to solve the equation x-
- 8 = 3. She entered the following on her screen and got an incorrect answer. How
could she use parentheses to find the correct answer? Explain. What is the correct answer?

Answers

Answer:

[tex]x - (-8) = 3[/tex]

[tex]x = -5[/tex]

Step-by-step explanation:

Equation

[tex]x - -8 = 3[/tex]

Solving (a): Using Parenthesis

The equation can be rewritten by putting -8 in a parenthesis as follows;

[tex]x - (-8) = 3[/tex]

Solving (b): The correct answer

[tex]x - (-8) = 3[/tex]

Start by opening the bracket

[tex]x + 8 = 3[/tex]

Subtract 8 from both sides

[tex]x + 8 - 8 = 3 - 8[/tex]

[tex]x = 3 - 8[/tex]

[tex]x = -5[/tex]

Hence, the correct solution is [tex]x = -5[/tex]

domain and range of a function

Answers

Answer:

The domain of a function is the set of all possible inputs for the function.  The range of a function is the set of all possible outputs for the function.

Step-by-step explanation:

Determine the value of
x isosceles triangle?

Answers

Answer:

x = 13ft

Step-by-step explanation:

The isosceles triangle is a polygon with three sides, two being equal and the other unequal.

The angles P and N will also be equal  and the M other different.

PM ≅ MN

∠P ≅ ∠N

PN = 2x

because the line starting at M divides the triangle into two sections

26 = 2x

2x = 26

x = 26 /2

x = 13ft

The price of a winter coat and a 20% discount​

Answers

Hey, your question is incomplete so, plz write complete question to get the required answer

My question is 9 + 12n

Answers

Answer:

3(3 +4n)

OR

9 + 12n

Step-by-step explanation:

9 + 12n

Factorize it

3(3 +4n)

OR

The answer is the same.

Since we can't add a number with a number and letter. So in that case the answer is ;

9 + 12n.

Hope it helps!!Please mark me as the brainliest!!!

Thanks !!!!

Solve the equation. Determine if there there is no solution, infinite solutions, or one solution. —2 (x - 2) - 4x = 3 (x + 1) – 9x O Infinite Solutions O No Solution O One Solution; x = -1/12 O One Solution; x = -1​

Answers

Answer:

(no solutions exist)

Step-by-step explanation:

Austin prepared 20 kilograms of dough after working 5 hours. How many hours did Austin work if he prepared 36 kilograms of dough? Assume the relationship is directly proportional.

Answers

Answer: 9 hours

If austin prepared 20 kg of dough in 5 hours, this means he can prepare 4kg of dough an hour. This is because 20/5=4. Knowing this information, it would only make sense that Austin worked for 9 hours to prepare 36 kg of dough.

This is because 36/4=9.

Please mark brainliest and rate! Thank youu

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

Austin prepared 20 kg of dough in 5 hours. Now you see he made 4 kg of dough in a hour, wanna know how? divide 20 to 5 = 4

Now thats done, ill show you the steps of how i got the answer 9.

So we will use that 4 we got from 20 divided by 5 and divide 36 by that 4 and we will get our answer!

--> 20÷5 = 4

    36÷4= 9

What is the difference between law and scientific law.

Answers

Answer:

A hypothesis is a limited explanation of a phenomenon; a scientific theory is an in-depth explanation of the observed phenomenon. A law is a statement about an observed phenomenon or a unifying concept, according to Kennesaw State University. ... However, Newton's law doesn't explain what gravity is, or how it works.

Step-by-step explanation:

Answer:

law is federal

Step-by-step explanation:

ik

Someone help please thank you

Answers

Answer:

See below.

Step-by-step explanation:

So we have the two functions:

[tex]f(x)=8x-5\text{ and } g(x)=9-2x[/tex]

And we want to find:

[tex](f\circ g)(x)\text{ and } (g\circ f)(x)[/tex]

1)

Recall that:

[tex](f\circ g)(x)[/tex]

is the same as:

[tex]=f(g(x))[/tex]

Thus, we can substitute g(x):

[tex]=f(9-2x)[/tex]

And substitute that into f(x):

[tex]f(x)=8x-5\\f(9-2x)=8(9-2x)-5[/tex]

Distribute:

[tex]=72-16x-5[/tex]

Subtract and simplify:

[tex]=67-16x\\=-16x+67[/tex]

Thus:

[tex](f\circ g)(x)=-16x+67[/tex]

2)

Similarly:

[tex](g\circ f)(x)=g(f(x))[/tex]

Substitute f(x):

[tex]g(f(x))=g(8x-5)[/tex]

Substitute:

[tex]g(8x-5)=9-2(8x-5)[/tex]

Distribute:

[tex]=9-16x+10[/tex]

Simplify:

[tex]=-16x+19[/tex]

Therefore:

[tex](g\circ f)(x)=-16x+19[/tex]

Which expression is equivalent to (3^4 • 5^4)^-3

A. 1/15^3
B. 15^-48
C. 1/15^12
D. 15^5

Tania chose B as the correct answer, How did she get that?

Answers

3^4*5^4 = (3*5)^4 = 15^4

Raise this to the exponent -3 and we get

(3^4*5^4)^(-3) = (15^4)^(-3) = 15^(4*(-3)) = 15^(-12)

The last step is to use the rule

x^(-k) = 1/( x^k )

So,

15^(-12) = 1/( 15^12 )

The answer is actually choice C

It seems like Tania multiplied all the exponents to get 4*4*(-3) = 16*(-3) = -48, but you only multiply the inner and outer exponents together as I did when I went from (15^4)^(-3) to 15^(-12)

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