b2+16b+64
-3k3+15k2-6k

Answer:

Rotations of tire to travel 500 feet: 95.54

Step-by-step explanation:

Circumference = 20 x 3.14 = 62.8 in

500 feet = 500 x 12 inches = 6,000 in

Rotations = 6000 / 62.8 = 95.54 rotations of tire

Final answer:

To find the number of hamburgers sold, we set x as the number of hamburgers and x + 68 as the number of cheeseburgers, given that the total sold was 518. The equation x + (x + 68) = 518 is solved to find that 225 hamburgers were sold.

Explanation:

To solve this problem, let's use algebra. Let x be the number of hamburgers, then the number of cheeseburgers would be x + 68 since there were 68 more cheeseburgers sold than hamburgers. Given that the total number of hamburgers and cheeseburgers sold is 518, we can set up the following equation:

x + (x + 68) = 518

Solving for x we get:

2x + 68 = 518

2x = 518 - 68

2x = 450

x = 225

So, the hamburger shop sold 225 hamburgers on Tuesday.

Answer:

See below.

Step-by-step explanation:

1. Given.

2. Given

3. Definition of  angle bisector.

4. BD ⊥ AC

5. They are both right angles.

6. This is common on to both triangle  ABD and CBD.

7. Congruent by 2 angles and the corresponding side ( ASA?)

8. CPCTC

9. Definition of an isosceles triangle.

Answer:

24/30

Step-by-step explanation:8/3 times 3/10. Multiply across. Always flip the 2nd fraction when dividing fractions then multiply

Answer:

4/5

Step-by-step explanation:

8/3 divided by 10/3

Remember, Keep Change Flip.

8/3 x 3/10

= 24/30

= 4/5

The statement is true. When x has a value of zero, the y value is 2. So option (a) is correct.

To determine whether the statement is true or false, let's first analyze the given equation:

2x + 3y = 6

We're given that when x = 0, y = 2. We can use this information to solve for y:

2(0) + 3y = 6

0 + 3y = 6

3y = 6

y = 6/3

y = 2

This confirms that when x = 0, y does indeed equal 2. So, the given information is consistent with the equation. Therefore, the statement "When x has a value of zero, the y value is 2" is true.

To summarize:

Given the equation 2x + 3y = 6, when x = 0, y = 2.

Proof:

2(0) + 3(2) = 6

0 + 6 = 6

6 = 6

Thus, when x is 0, y is indeed 2, verifying the statement as true.

Complete Question:

Given: 2x+3y=6. When x has a value of zero, the y value is 2.

(a) True

(b) False

Answer:

W = 4.646 ft

L = 9.292 ft

H = 3.097 ft

Step-by-step explanation:

Let's say the L is the length, W is the width, and H is the height.

The volume of the pool is:

V = LWH

The area of the pool is:

A = LW + 2LH + 2WH

L = 2W, so substituting:

V = (2W)WH

V = 2W²H

A = (2W)W + 2(2W)H + 2WH

A = 2W² + 4WH + 2WH

A = 2W² + 6WH

Solving for H in the first equation and substituting into the second:

H = V/(2W²)

A = 2W² + 3V/W

Find dA/dW and set to 0.

dA/dW = 4W − 3V/W²

0 = 4W − 3V/W²

4W = 3V/W²

4W³ = 3V

W = ∛(¾V)

V = 1000 gallons or 133.7 ft³.

W = ∛(¾(133.7 ft³))

W = 4.646 ft

So L = 9.292 ft and H = 3.097 ft.

The formula to the volume of cone is πr²h. Pi x 13² x 10 = 5309.29158457.

Answer:

Angle QPU = 110

Step-by-step explanation:

Since angle QPU & RPQ are supplementary angles, they add up to 180 degrees. So take 180 - 70 which gives you 110.

Answer:

Step-by-step explanation:

Note, line UPR is a straight line

Also, angle on a straight line is 180

Therefore,

<QPU and <QPR are supplementary

<QPU+<QPR=180

Given that <QPR=70°

<QPU+70=180

Subtract 70° from both sides of the equation

<QPU=180 -70

<QPU=110

Answer:

g ÷ 5

Step-by-step explanation:

Variable: g

Operation: Division (represented as ÷)

Constant: 5

Put together the equation:

g ÷ 5

Hope this helps :)

Answer:

no solution

Step-by-step explanation:

no solution

Answer:

The answer would be 18484.2883549

Step-by-step explanation:

Firstly, you'll simplify 10².

10²÷0.00541 ---> 100 ÷ 0.00541

Then, you'll divide 100 by 0.00541.

100 ÷ 0.00541 ---> 18484.2883549

Answer:

18484.28835

Hope this helps

-Amelia The Unknown

Answer: 79.27

Step-by-step explanation:

Answer:

Area of the Rectangle = 4 * 10 = 40 square inches

Area of the semi-circle = (PI * radius^2) /2

Area of the semi-circle = (PI * 5^2) / 2

Area of the semi-circle = (PI * 25) / 2

Area of the semi-circle = 39.2699081699

Total Area = 40 + 39.2699081699 =

79.2699081699 =

79.27 square inches

Step-by-step explanation:

Answer:

I think E hope it can help

it is y=2 because both points have a y value of 2

42/24 = 42/24 or 7/4 = 42/24 so yes

Step-by-step explanation:

they're equivalent

42 and 24 are multiple of 6

so 42/24

42/6 is 7

24/6 is 4

fraction is 7/4 so YES

Step-by-step explanation:

Answer:

  -10, -8, -6, -4

Step-by-step explanation:

Perhaps you want to know what they are.

__

The odd number between the middle two is their average value: -28/4 = -7.

The integers are -10, -8, -6, -4.

Answer: The even integers are -10, -8, -6 and -4

Step-by-step explanation:

Let the smallest of the even integers be represented by x, the other three will therefore be x +2, x +4 and x+6

Thus, x + (x+2) + (x+4) + (x+6) = -28

4x + 12= -28

Make x the subject of the equation

4x= -28 - 12

4x= -40

x = -10,

since the x = -10,

x + 2= -10 + 2= -8

x + 4= -10 +4 = -6

x + 6= -10 + 6= -4

I hope this helps.

Answer:

Option (b) -1.2, -3.2,-5.2,-7.2,…..  is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

Option (c) 2, 5/2 ,3, 7/2…..  is AP

the common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

Step-by-step explanation:

AP ⇒ arithmetic progression is a sequence of numbers provide that the difference of any two successive members is a constant.

So, we will check the options:

• (a) 2,4,8,16……

The difference between 2 , 4 = 4 - 2 = 2

The difference between 4 , 8 = 8 - 4 = 4

So, option a is not AP

• (b) -1.2, -3.2,-5.2,-7.2,…..

The difference between -1.2 , -3.2 = -3.2 - (-1.2) = -3.2 + 1.2 = -2

The difference between -3.2 , -5.2 = -5.2 - (-3.2) = -5.2 + 3.2 = -2

So, option b is AP

The common difference = -2

3 more terms are ⇒ -9.2 , -11.2 , -13.2

• (c) 2, 5/2 ,3, 7/2…..

The difference between 2 , 5/2 = 5/2 - 2 = 1/2

The difference between 5/2 , 3 = 3 - 5/2 = 1/2

So, option c is AP

The common difference = 1/2

3 more terms are ⇒ 4 , 9/2 , 5

• (d) -10,-6,-2.2, ……

The difference between -10 , -6 = -6 - (-10) = -6+10 = 4

The difference between -6 , -2.2 = -2.2 - (-6) = -2.2 + 6 = 3.8

So, option d is not AP

So, the options that form an AP are b and c

Answer: (-1,-2) Sowwy if im wrong

Step-by-step explanation:

Answer:

1 and 1

Step-by-step explanation:

Answer:

419,108 is divisible by 4

Step-by-step explanation:

419,108 is divisible by 4, if there is an integer 'n' such that 419,108 = 'n' × 4.

Answer:

yes

Step-by-step explanation:

At the end of the number 419108 the last 2 digits 08 which is 8 can be divided by 4.

This is a rule the last 2 digits e.g 1,248 the 48 can be divided by 4.

Answer:

78.6 degrees.

Step-by-step explanation:

Complementary angles add up to 90 degrees. So just take 11.4 from 90.

90 - 11.4 = 78.6

Step-by-step explanation:

Given points are: [tex] (5, - 2) =(x_1,\:y_1) \:\&\: (-3, 4)=(x_2,\:y_2)[/tex]

Equation of line in two point form is given as:

[tex] \frac{y -y_1 }{y_1 - y_2} = \frac{x -x_1 }{x_1 - x_2} \\ \\ \therefore \: \frac{y -( -2 ) }{ - 2 - 4} = \frac{x -5 }{5 - ( - 3)} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{5 + 3} \\ \\\therefore \: \frac{y + 2 }{ - 6} = \frac{x -5 }{8} \\ \\\therefore \: \frac{y + 2 }{ - 3} = \frac{x -5 }{4} \\ \\\therefore \: 4(y + 2 ) = - 3(x - 5) \\ \\ \therefore \: 4y + 8 = - 3x + 15 \\ \\ \therefore \: 3x + 4y + 8 - 15 = 0 \\ \\ \huge \: \orange{ \boxed{\therefore \: 3x + 4y - 7 = 0}} \\ \: \: is \: the \: required \: equation \: of \: line[/tex]

Answer:

f(2/3)=-6

Step-by-step explanation:

f(x) =-3x-4

x=2/3 then

f(2/3)=-3*(2/3)-4=-6/3-4=-2-4=-6

The area of the figure is 112 square inches.

Step-by-step explanation:

Step 1:

To calculate the value of the composite shape we first divide it into shapes that we know.

In this case, the composite shape consists of a triangle and a square attached below it.

If we can calculate the individual areas of the two shapes we should be able to calculate the area of the composite shape.

Step 2:

The triangle has a base length [tex]=10-6=4[/tex] inches and the height is [tex]16-10=6[/tex] inches.

The area of the triangle [tex]= \frac{1}{2} (b)(h) = \frac{1}{2} (4)(6) = 12.[/tex]

The area of the triangle is 12 square inches.

Step 3:

The area of a square is the square of its side length. The given square has a side length of 10 inches.

The area of the square [tex]= a^{2} = 10^{2} = 100.[/tex]

The area of the square is 100 square inches.

Step 4:

Now we calculate the area of the entire figure by adding the areas of the triangle and the square.

Area of the figure [tex]= 100 + 12 = 112.[/tex]

So the area of the figure is 112 square inches.

The volume of the cone is:

V=Sb×h/3=(pi×r²)×h/3, where Sb is the area of the base (circle of radius r) and h is the height.

V=pi×r²×h/3=pi×1.5²×5/3=11.775in³

The closest indicated value is the first one, 11.78in³

Answer:

  [tex]\text{A)}\qquad (x-2)^2+(y+1)^2=16[/tex]

Step-by-step explanation:

The formula for a circle of radius r centered at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

Both of the given points are on the line y=-1. The distance between them is the difference of their x-coordinates, 2 -(-2) = 4. So, the radius of the circle is 4 and the equation becomes ...

  (x -2)^2 +(y -(-1))^2 = 4^2

  (x -2)^2 +(y +1)^2 = 16 . . . . . . . . . matches choice A

Answer:

x^2 - 6x + 9

Step-by-step explanation:

(x - 3)^2

(x - 3)(x - 3)

x^2 - 3x - 3x + 9

x^2 - 6x + 9

Answer:x^2-6x+9

Step-by-step explanation:

(x-3)^2=(x-3)(x-3)=x^2-3x-3x+9

Collect like terms

X^2-6x+9

Answer: The answer is 4) 4x*3 +4x^2   where x = 6,13

4x^3 = 6.13 x 6.13 x 6.13 =230 +4x^2 =

=232.7+ 49.04   = 282.1 cube

The answer is 281.1 when x=6.13

Step-by-step explanation:

Answer:

A, B & C

Step-by-step explanation:

Edge 2020 assignment