PLEASE HELP ME!!!!! Pre-calc question: According to the Intermediate Value Theorem, in what interval must cos x= 2^x-6 have a solution? Show work!
Thank you so much!!! I will give brainliest as well!!

Answer:

(x+5)²+(y+5)² =4

Step-by-step explanation:

the standard equation is

(x-h)²+(y-k)²=r²

where (h, k) is the center in our case ( -5, -5) and r is the radius that in our case r=2, so substitute

(x+5)²+(y+5)²=2²

Answer:

[tex](x+5)^2+(y+5)^2=4[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and r is the radius

1) Determine the center of the circle

On the graph, we can determine that the circle is centered at the point (-5,-5). Plug this into the equation:

[tex](x-(-5))^2+(y-(-5))^2=r^2\\(x+5)^2+(y+5)^2=r^2[/tex]

2) Determine the value of r²

In the graph, we can see that the radius of the circle is equal to 2 units. Therefore, the value of r² is 4. Plug this back into the equation:

[tex](x+5)^2+(y+5)^2=4[/tex]

I hope this helps!

Answer: c. E2 - 21

Step-by-step explanation:

difference means to subtract

Now, e squared=E² and twenty-one=21

Therefore the difference of e squared and twenty-one is  E2 - 21

Answer:

ummmmm 12.......................

Step-by-step explanation:

Answer:

18.1

The thing You NEEDED to do

Answer:

a + b =  2

Step-by-step explanation:

Given

ax² + bx + c = 0 ( equation in standard form )

Then the sum of the roots = - [tex]\frac{b}{a}[/tex]

3x² - 6x + 2 = 0 ← is in standard form

with a = 3, b = - 6 , then

sum of roots = - [tex]\frac{-6}{3}[/tex] = 2

Answer:

[tex]I \ think \ it \ is \ 6x\\\\3x^2 - 6x +2 = 0\\\\[/tex]

[tex]x = \frac{-b \pm \sqrt{b^2 - 4*a*c} }{2a} \\\\a = 3, b = -6, c = 2\\\\x = \frac{-b + \sqrt{b^2 - 4*a*c} }{2a}, x = \frac{-b - \sqrt{b^2 - 4*a*c} }{2a} \\\\ \\\\x = \frac{6 + \sqrt{36 - 24} }{6} , x = \frac{6-\sqrt{36 -24} }{6} \\\\[/tex]

[tex]x = \frac{6+\sqrt{12} }{6} , x = \frac{6-\sqrt{12} }{6} \\\\x = \frac{3+\sqrt{3} }{3} , x = \frac{3-\sqrt{3} }{3}[/tex]

[tex]Let \ a = \frac{3 + \sqrt{3} }{3} , b = \frac{3-\sqrt{3} }{3} \\\\a + b = \frac{3+\sqrt{3} }{3} + \frac{3-\sqrt{3} }{3} = \frac{3+\sqrt{3} +3-\sqrt{3} }{3} = \frac{6}{3} = 2[/tex]

Step-by-step explanation:

the correct answer is A

15 x 35

Answer:

A

Step-by-step explanation:

let width be w , then length l = w + 20

perimeter = 2w + 2l

                 = 2w + 2(w + 20) , so

2w + 2w + 40 = 100

4w + 40 = 100 ( subtract 40 from both sides )

4w = 60 ( divide both sides by 4 )

w = 15 and l = 15 + 20 = 35

Dimensions are 15 ft by 35 ft → A

Answer: 18 3/64 in. cubed

Step-by-step explanation:

Since the formula for solving the volume of a rectangular prism is just:

(length)(width)(height) -> you can plug in the measurements you were given

(3 1/2 in)(1 7/8 in)(2 3/4 in) -> after multiplying, you should get: 18 3/64 in cubed

Hope this helped ~~

Answer:

28.56 inches

Step-by-step explanation:

you need to find the circumference of a circle with a diameter of 4, ∴ radius is 2

C = 2πr

C = 4(3.14)

C = 12.56

Now add 12.56 to the two sides that are 6 inches and also add the four 1 inch segments to the right and left of each semi-circle.

12.56 + 2(6) + 1(4) = 12.56 + 12 + 4 which totals 28.56

Answer:

3,432 m²

Step-by-step explanation:

The amount of aluminum in square meters needed to make the mailboxes = 1863(surface area of each mailbox)

Surface area of each mail box = ½(surface area of cylinder) + (Surface area of rectangular prism/box - area of the surface of the box that joins the half-cylinder)

✔️Surface area of ½-cylinder = ½[2πr(h + r)]

r = ½(0.4) = 0.2 m

h = 0.6 m

π = 3.14

Surface area of ½-cylinder = ½[2*3.14*0.2(0.6 + 0.2]

= 0.628(0.8)

Surface area of ½-cylinder = 0.5024 m²

✔️Surface area of the rectangular box/prism = 2(LW + LH + WH)

L = 0.6 m

W = 0.4 m

H = 0.55 m

Surface area = 2(0.6*0.4 + 0.6*0.55 + 0.4*0.55)

Surface area of rectangular box = 1.58 m²

✔️Area of the surface joining the half cylinder and the box = L*W = 0.6*0.4 = 0.24 m²

✅Surface area of 1 mailbox = (0.5024) + (1.58 - 0.24)

= 0.5024 + 1.34

= 1.8424

Amount of aluminum needed to make 1863 mailboxes = 1863 × 1.8424 = 3,432.3912

= 3,432 m²

The diameter is the length of all the way across the circle. The radius is half of that.

the first circle

radius=17cm

diameter =17×2=34cm

second circle

radius=25mm

diameter =50mm

hopefully that helped

Answer:

Correlation doesn't prove causation because just because two things correlate does not necessarily mean that one causes the other.It's easy to think that just because two things seem related, that one must be the cause of the other. But that can be a foolish and sometimes dangerous assumption

Answer:

b

Step-by-step explanation:

Answer:

3m × 4m:

Yellow flower: 12

Bush: 6

Total: 18

3m × 5m:

Yellow flower: 15

Bush: 8

Total: 23

Step-by-step explanation:

Answer:

[tex]slope = \frac{(9 - ( - 11))}{(25 - 5)} \\ = \frac{20}{20} \\ = 1[/tex]

Answer:

B hope this helps!

Step-by-step explanation:

Trust <3

Answer:

The first thing you should do is draw the points in the Cartesian plane and then join them to find the polygon.

The searched polygon can be seen in the attached image.

The area of the polygon will be the area of the square plus the area of the triangle.

At = (6) * (8) + (1/2) * (5) * (8) = 68

At = 68

answer

the area of the polygon is 68units ^ 2

Answer:

The times that would take until the cylinder is completely full with water by the cone are:

Step-by-step explanation:

To identify how many times we must fill a cone to fill completely a cylinder with the same height and radius, we must calculate the volume of the two containers and next divide the volume of the cylinder by the volume of the cone. To obtain the volume of the cylinder we can use the next formula:

If we replace the values in the formula, we obtain:

Now, we're gonna calculate the volume of the cone with the next formula:

As you can see just with the formula, The volume of a cone is three times less than that of a cylinder (because we add the dividend 3 to it), but we're gonna replace and prove it:

And, if we divide the two volumes to obtain the times we need to fill the cone to fill completely the cylinder:

By this reason, you must fill completely a cone 3 times to fill completely a cylinder with the same radius and height.

Answer and Step-by-step explanation:

to divide 16.8 by -4, divide each number by -4.

16 divided by -4 is -4.

8 divided by -4 is -2.

So, the answer is -4.2.

To check our answer, we multiply the answer by -4 again.

  -4.2

x    -4

-16 .8

#teamtrees #PAW (Plant And Water)

Answer:

12 INCHES

Step-by-step explanation:

Esmeralda has as magnet in the shape of a square each side is 3 inches long what is the perimeter?

A square is a quadrilateral with four equal sides.

Characteristics of a square includes:

• The diagonals bisect each other at 90°.

• Opposite sides parallel and of equal length

• The four angles of a square are equal.

perimeter of a square = 4 x length

4 x 3 = 12 inches

Answer:

D. 15π

Step-by-step explanation:

Circumference is equal to diameter times pi,

so C = 15π

Answer:

∠4 ≅ ∠1

Step-by-step explanation:

they are vertical angles and vertical angles have the same measure

Answer:

<1 is equal to <4

Step-by-step explanation:

Alternate angles are equal.

Hope that this helps!

Answer:

x=115°

y=65°

Hope it helped<3

x = 115° [corresponding angles]

y = 180° - x = 180° - 115° = 65° [linear pair]

Answer:

1/2 OF 14 =7

21/7 = 3

Step-by-step explanation:

Answer:

11.7 ft

Step-by-step explanation:

Remember the notation SOHCAHTOA

We would be using tan because we have been given the adjacent and we are to determine the opposite value

tan 40 = opposite / adjacent

0.8391 = opposite / 8

opposite = 0.8391 x 8

6.7

Tamera is 5 ft above ground = 6.7 + 5 = 11.7 foot

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Please find attached a diagram explaining this question

Answer:

36 meters

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

y=kx

20=k15

k=1•33

30=1•33x

x=22•5

Answer:

Although this isn't mathematics, the answer would be the second choice. Savings accounts earn interest over time.

Answer:

113.04

Step-by-step explanation:

6 x 6 x 3.14 = 113.04

formula is

R x R x pi = x