The length and width of a rectangular box
are represented by 2x+3 and 3x + 1 respectively.
What is the area of the box expressed as a polynomial
in standard form?

Answer: The value of x is 5.970.

Step-by-step explanation:

Given: The square has sides length of X cm.

Let r be the radius of the circle.

The square fits exactly inside a circle with each of the vertices being on the circumference of the circle.

Then diagonal of square = diameter of circle

i.e. [tex]\sqrt{2}x= 2r[/tex]    [Diagonal of square = [tex]\sqrt{2}[/tex](side)]

i.e. [tex]r=\dfrac{x}{\sqrt{2}}[/tex]

area of circle =[tex]\pi r^2[/tex]

i.e. [tex]56=\frac{22}{7}(\frac{x}{\sqrt{2}})^2[/tex]

[tex]56=\frac{22}{7}\times\frac{x^2}{2}\\\\\Rightarrow\ x^2= \dfrac{7}{11}\times56\\\\\Rightarrow\ x^2=35.636\\\\\Rightarrow\ x=\sqrt{35.636}\approx5.970[/tex]

Hence, the value of x is 5.970.

Answer:

15

Step-by-step explanation:

u add up that then u get the answet

Answer:

Step-by-step explanation:

Answer:

The goal to reduce the amount of energy used to provide products and services; saving the earth vibes.

Answer:

[tex](f/g)(4)=8[/tex]

Interpretation: 4 elephants traveled at a speed of 8 miles per hour

Step-by-step explanation:

Given

[tex]f(x) = 4x + 8[/tex]

[tex]g(x) = x -1[/tex]

Required

[tex](f/g)(4)[/tex]

This is calculated as:

[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]

We have:

[tex]f(x) = 4x + 8[/tex]

[tex]f(4) = 4 * 4 + 8 =24[/tex]

[tex]g(x) = x -1[/tex]

[tex]g(4) = 4 - 1 = 3[/tex]

So:

[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]

[tex](f/g)(4)=\frac{24}{3}[/tex]

[tex](f/g)(4)=8[/tex]

Answer:

Answer:C) 8; The elephants’ rate in miles per hour

Step-by-step explanation:

First write the question as an equation that can be solved to give you a numerical answer.

[f(4)=4(4)+8] / [g(4)=(4)-1]

Then solve the equation.

24/3=8

Finally use background information to give you the context.

Since the problem gives you the function for distance and the function for time then it can be concluded that the context will be the elephants’ rate in miles per hour

Step-by-step explanation:

Answer:

y = 3/2x - 5

Step-by-step explanation:

y = 3/2x + b

1 = 3/2(4) + b

1 = 6 + b

-5 = b

Step-by-step explanation:

Answer

Open in answr app

Correct option is

B

±2

x=3+22   x1=3+221×3−223−22

=3−22

(x−21)2=x+x1−2

=3+22+3−22−2=4

So, x−x1=4=±2 Ans 

Answer:

39

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Answer:

I got 45 degrees

Step-by-step explanation:

knowing that where T is is 90 degrees and a triangle always= 180 degrees I just split 90 in half and got 45. I could be wrong but I hope this helps :)

Answer:

A

Step-by-step explanation:

Answer:

"C"

trinomial means three parts, degree 1 means highest exponent is 1

x & y are of degree 1 and there are three parts

Step-by-step explanation:

Step-by-step explanation:

= (8x² + 9) - (3x² + 2x + 5)

= 8x² + 9 - 3x² - 2x - 5

= 5x² - 2x + 4

Answer:

A dot plot titled Number of Books Purchased at Book Fair goes from 1 to 5. 1 has 3 dots, 2 has 2 dots, 3 has 3 dots, 4 has 3 dots, and 5 has 1 dot.

Step-by-step explanation:

The title given to a boxplot will be the values labeled on the horizontal axis, hence since the title of the plot is the number of books purchased at a book fair, If 3 students purchased 4 books, then the Horizontal label at 4 (number of books purchased) will have 3 dots (which corresponds to the number of students who purchased 4 books).

Answer:

7 hours 15 minutes

7.25 hours

Step-by-step explanation:

Break from 11:45 am to 12:30 pm = 45 minutes

Two 15-minute unpaid coffee breaks during the day = 30 minutes

Total break hours = 45 minutes + 30 minutes

= 1 hour 15 minutes

Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes

How many hours are you paid?

Total hours paid = Total work day hours - Total unpaid break hours

= 8 hours 30 minutes - 1 hour 15 minutes

= 7 hours 15 minutes

b) Express your answer as a decimal in hours only

7 hours 15 minutes as a decimal

15 minutes to hour = 60 minutes/15 minutes

= 1/4

= 0.25 hours

7 hours 15 minutes as a decimal = 7 hours + 0.25 hours

= 7.25 hours

Answer:

There is no answer

Step-by-step explanation:

because 3√5=6,7082039232 > 6

So 6-3√5 < 0

But √x always >0

So there is no answer

=============================================

Work Shown:

sin(2x) = sin(x)

sin(2x) - sin(x) = 0

2*sin(x)*cos(x) - sin(x) = 0

sin(x)*(2cos(x) - 1) = 0

sin(x) = 0 or 2cos(x)-1 = 0

sin(x) = 0 or cos(x) = 1/2

Using the unit circle, the solutions to sin(x) = 0 are x = 0, x = pi, x = 2pi

Also, the solutions to cos(x) = 1/2 are x = pi/3, x = 5pi/3

So the entire solution set on the interval [0,2pi] is {0, pi/3, pi, 5pi/3, 2pi} when written in increasing order.

All solutions to the equation in the interval [0, 2[tex]\pi[/tex]]  is  {0, [tex]\frac{\pi }{3}, \pi , \frac{5\pi }{3} ,2\pi[/tex]}.

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

As sin2x = 2 sinx cosx,

sin2x = sinx is equivalent to

2 sinx cosx = sinx or 2 sinx cosx − sinx = 0 or

sinx (2cosx − 1) = 0 i.e.

either sinx = 0 and x = 0, π, 2π

or 2cosx − 1 = 0 i.e. cosx = [tex]\frac{1}{2}[/tex] i.e. x = [tex]\frac{\pi }{3} , \frac{5\pi }{3}[/tex]

Hence, solution to an equation is x = {0, [tex]\frac{\pi }{3}, \pi , \frac{5\pi }{3} ,2\pi[/tex]}

Learn more about solution to an equation here

https://brainly.com/question/14603559

#SPJ2

Answer:

4/10=40%

Step-by-step explanation:

Answer:

8 miles

Step-by-step explanation:

In every 10 minutes, the workers paint 1/6 miles

Total number of minutes in 8 hours = 8 *60 = 480

Number of ten minutes in 480 minutes = 48

total miles of wine painted = 1/6 * 48 = 8 miles

Answer:

...........

2(x + 2) + 2x = 20

Answer:

x(x+2) = 20

Step-by-step explanation:

Perimeter Formulas of rectangle is: Perimeter = 2 × (a + b)

Answer:

V = 12,348·π

Step-by-step explanation:

The given parameters of the glass Vase are;

The shape of the glass vase = A sphere

The radius of the vase, r = 21 inches

The given formula for finding the volume of a sphere is [tex]V = \dfrac{4}{3} \cdot \pi \cdot r^3[/tex]

Therefore, when r = 21 inches, we get;

[tex]V = \dfrac{4}{3} \cdot \pi \cdot 21^3 = {12,348 \cdot \pi}[/tex]

Therefore, the expression for finding the equation of the spherical glass vase, V = 12,348·π

Hi there!

We are given the set of ordered pairs below:

[tex] \large \boxed{(3, - 1),(2, - 2),(0,2),(2,1)}[/tex]

1. What is the domain?

Therefore, we gather only x-values from (x,y). Hence, the domain is {3,2,0,2}. Whoops! Something is not right. As we learn in Set Theory that we don't write the same or repetitive in a set. Hence, the actual domain is {0,2,3}

2. What is the range?

Therefore, gather y-values from the ordered pairs. Hence, the range is {-2,-1,1,2}

3. Is the relation a function?

Consider the domain from Q1 and see if there are two same values of x in a set. Looks like the relation is not a function since there are same x-values which are 2 in a set, making it only a relation. Hence, the relation is not a function.

These are all 3 answers along with an explanation. Let me know if you have any doubts regarding Relations and Functions.

From the Q1's answer, there are two bold texts, please choose the second bold text to answer (the one with underline) and not the first one (the one with same 2's).

Good luck on your assignment, have a nice day!

Answer:

19 1/2??? Read explanation

Step-by-step explanation:

I am not sure entirely by your formatting when you put it into Brainly but since 5x4=20 and 20-1/2 = 19 1/2, the answer would be 19 1/2 but I am not sure due to the format.

Hope this helps and if it does, don't be afraid to rate my answer as well as maybe give it a "Thanks"? (Or even better a "Brainliest"). And if it’s not correct, I am sorry for wasting your time, and good luck finding the correct answer :)  

Answer:

18

20 -2 = 18

Step-by-step explanation:

Answer:

60 to 60

Step-by-step explanation:

It says 120 students passed in both and mathematics is only twice so 120 divided by 2 is 60

Answer: yuh Step-by-step explanation: yuh

Answer:

11/8, 7/4, 8/2

someone reported me

Answer:

260,

43.73,

34.28

Step-by-step explanation:

8. Triangle's base is 10, height 4.

10 * 4 = 40

40/2 = 20

24 * 10 = 240

240 + 20

= 260

9. Radius 3.

πr²

9π

12 * 6 = 72

72 - 9π

≈43.73

10. Semicircle has a radius of 2.

2²π

4π

4π/2 = 2π

≈6.28

6.28 + 28 = 34.28

≈34.28

8. It has Triangle embedded to a Rectangle

Area of Figure =Area of Triangle + Area of Rectangle

Area of Triangle = ½ base x height

= ½ x 10 x 8 =40

Area of Rectangle= 24 x 10 =240

TOTAL AREA OF FIGURE = 240 + 40 = 280

9.

Its a rectangle with a Circle in the Middle

Area of Shaded Region would be

Area of Rectangle – Area of circle

Area of Rectangle = 12 x 6 =72

Area of Circle = πr² = π x 3² = 28.27

AREA OF SHADED REGION= 72 - 28.27

=43.73in².

10.

The shape contains a semicircle on a rectangle

Area of the shape = Total Surface Area of semicircle + Area of a Rectangle

Total Surface Area of a semi circle=2πr²

Diameter was given = 4cm

Radius = Diameter/2 = 4/2 = 2cm

= 2 x π x 2² = 25.13cm²

Area of rectangular part = 4 x 7 =28cm²

AREA OF FIGURE = 25.13 + 28 =53.13cm².

Pls notify me if there are any Mistakes.

Have a great day!

Answer:

58 Minute

Step-by-step explanation:

According to the Question,

Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.

Thus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)

Answer: 10.3 s

Step-by-step explanation:

Given

The height of the arrow is given by [tex]h=-16t^2+v_ot+h_o[/tex]

At  [tex]t=0, h=19\ ft[/tex]and [tex]v_o=163\ ft/s[/tex]

When arrow hits ground, h becomes 0 i.e.

[tex]\Rightarrow 0=-16t^2+163t+19\\\Rightarrow 16t^2-163t-19=0\\\\\Rightarrow t=\dfrac{163\pm \sqrt{(-163)^2+4(16)(19)}}{2(16)}\\\\\Rightarrow t=-0.115,10.30\ s[/tex]

Neglecting the negative value of t

So, the arrow hits the ground after 10.30 s

Answer:

60

a

30

Step-by-step explanation:

I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie

Answer:

1.73 or 3+√6/√3+√2

Step-by-step explanation:

1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45

2. Simplify the Denominator.

[tex]17 \sqrt{3} - 2 \sqrt{4} \sqrt{4} \sqrt{2} + 3 \sqrt{9} \sqrt{2} - 4 \sqrt{4} \sqrt{4} \sqrt{3} = 17 \sqrt{3} - 8 \sqrt{2} + 9 \sqrt{2} - 16 \sqrt{3} = \sqrt{3} + \sqrt{2} = 3.15[/tex]

3. Divide. 5.45/3.15= 1.73

Answer:

Where 0 < x < 3

The location of the local minimum, is (2, 0)

The location of the local maximum is at (0, 16)

Step-by-step explanation:

The given function is f(x) = (x + 2)⁴

The range of the minimum = 0 < x < 3

At a local minimum/maximum values, we have;

[tex]f'(x) = \dfrac{(-x + 2)^4}{dx} = -4 \cdot (-x + 2)^3 = 0[/tex]

∴ (-x + 2)³ = 0

x = 2

[tex]f''(x) = \dfrac{ -4 \cdot (-x + 2)^3}{dx} = -12 \cdot (-x + 2)^2[/tex]

When x = 2, f''(2) = -12×(-2 + 2)² = 0 which gives a local minimum at x = 2

We have, f(2) = (-2 + 2)⁴ = 0

The location of the local minimum, is (2, 0)

Given that the minimum of the function is at x = 2, and the function is (-x + 2)⁴, the absolute local maximum will be at the maximum value of (-x + 2) for 0 < x < 3

When x = 0, -x + 2 = 0 + 2 = 2

Similarly, we have;

-x + 2 = 1, when x = 1

-x + 2 = 0, when x = 2

-x + 2 = -1, when x = 3

Therefore, the maximum value of -x + 2, is at x = 0 and the maximum value of the function where 0 < x < 3, is (0 + 2)⁴ = 16

The location of the local maximum is at (0, 16).