In the accompanying diagram, a right circular cone is carved out of a solid foam cylinder and discarded. What is the volume of the foam remaining in the cylinder?
A. 150π cubic units
B. 125π cubic units
C. 100π cubic units
D. 50π cubic units

Answer:

This is the answer In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

Hope this helped.

Answer:

In Step 2, the associative property cannot regroup addition and multiplication.

Step-by-step explanation:

            11 + (3)(9)

Step 1: 11 + (9)(3)

Step 2: (11 + 9)(3)                      <- wrong

Step 3: 20(3)

Step 4: 60

hope this help!

Answer: Hi!

Remember, when you're subtracting a negative, that's equal to adding a positive. So -2-(-17) is actually equal to -2 + 17!

-2 + 17 = 15

The expression -2-(-17) is equal to 15.

Hope this helps!

Answer:

[tex]\huge\boxed{Option \ B}[/tex]

Step-by-step explanation:

1) 3 + 2 = 5       [Since the result is a natural number, it is a rational number]

2) [tex]\sqrt{19} + \frac{7}{2}[/tex]    [ It has a square root that cannot be simplified further so the sum of this is an irrational one ]

3) [tex]\frac{18}{3} + \frac{11}{10000}[/tex]     [The sum of it is rational i.e. in the form of p/q ]

4) -6+ (-3.251) = -6-3.251 = -9.251 [ Since the result is an integer, it is a rational number]

Answer:

[tex]\Huge \boxed{\sqrt{19} +7}[/tex]

Step-by-step explanation:

Rational numbers can be integers, fractions, and whole numbers.

Rational numbers can be expressed as fractions p/q, where p and q are whole numbers.

[tex]3+2=5[/tex]

5 is whole number, it is a rational number.

[tex]\sqrt{19} +7= 11.358899....[/tex]

[tex]\sqrt{19}[/tex] is an irrational number, it cannot be expressed as a fraction p/q, where p and q are whole numbers.

[tex]\displaystyle \frac{18}{3} +\frac{11}{10000} =\frac{60011}{10000}[/tex]

The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.

[tex]-6+(-3.251)=-9.251[/tex]

The result is rational, it can be expressed as a fraction p/q, where p and q are whole numbers.

Answer:

y

Step-by-step explanation:

When doing graphing, the y axis is dependent because its position relies on the placement of the x axis.

Answer:

3(2c+d)-4(c-d)+d^2.

6c+3d-(4c+4d)+d^2.

6×1+3×3-4×1+4×3+9.

6+9-4+12+9=32.

4-c=-1/3

3[4-c]= -1

12-3c= -1

12+1=3c

13=3c

c=13/3

c=4 1/3

Answer:

draw a diagonal line from (0,0) to (10,100) then find the output then you will get your answer

Step-by-step explanation:

Answer:

(sinx) (sin2x)

Step-by-step explanation:

2 sinx cosx = sin 2x

Answer:

23/16

Step-by-step explanation:

simplify, 56/128 = 7/16

7 + 16 over 16

add together 7 and 16= 23

=23/16

Answer:

[tex]\Large \boxed{\frac{23}{16} }[/tex]

Step-by-step explanation:

56/128 + 1

56/128 is a fraction.

1 is a whole number.

1 can be rewritten as a fraction.

1 = 128/128

56/128 + 128/128

Add the fractions since denominators are equal.

(56+128)/128

184/128

Simplify the fraction.

8(23)/8(16)

23/16

Answer:

C is equal to -4[tex]x^{2}[/tex] - 36

Step-by-step explanation:

The quadratic formula is:

[tex]y = ax^{2} + bx + c[/tex]

To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.

I hope this helps. Let me know if you want me to clarify anything or if you have any questions!

The solution of the given quadratic equation is x = -1 ±√2

Suppose that we've a function y = f(x) such that f(x) is quadratic.

When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.

The quadratic formula is given as;

x² + 2x =1

Then its solutions are given as;

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]

Therefore, the solution is x = -1 ±√2

Learn more about quadratic equations here:

https://brainly.com/question/3358603

#SPJ2

Answer: x = 4 / 2y-z

Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.

I hope this helps you out.

Answer:

1:3

Step-by-step explanation:

4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.

Answer: The ratio of light blue triangles to dark blue triangles is  

✔ 3 to 1

.

For every 1 dark blue triangle, there  

✔ are 3 light blue triangles

.

your w e l c o m e  edge nuity users

Answer: Hi! Here we're trying to find the unit rate.

So we know that the truck travels 238 miles in 3.5 hours. To find the unit rate, the speed of miles per hour, all we need to do is divide the miles by the total time!

238 ÷ 3.5 = 68

So, the truck travels at 68mph.

Hope this helps!

Answer:

d=√ 82=9.1

Step-by-step explanation:

Answer:

problem please

Step-by-step explanation:

Answer:

Step-by-step explanation:

By MVT,

[tex]f'(c) = \frac{f(5)-f(-1)}{5-1}[/tex]

[tex]4f'(c)= f(5) + 3\rightarrow f(5) = 4f'(c) - 3[/tex]

Moreover, [tex]f'(x)\leq 4~~~~~~ \forall x,[/tex]

[tex]f(5) \leq 16 - 3 =13[/tex]

Hence the largest possible value of f(5) is 13

Answer: It would be all of the above.

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x1, y1) = (-4 , -9)   ; (x2, y2) = (-10,  -3)

[tex]Midpoint(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\\\\=(\frac{(-4)+(-10)}{2},\frac{(-9)+(-3)}{2})\\\\\\=(\frac{-14}{2},\frac{-12}{2})\\\\\\=(-7 , -6)[/tex]

Answer:

120ft/sec

Step-by-step explanation:

Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):

720 ft/6 sec = 120 ft/1 sec

For every second, the skydiver drops 120 ft.

120ft/sec.

~

94.7 or 94.70

please dont put 120 i kept getting it wrong

Answer:

Step-by-step explanation:

Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.

[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]

Hence the value of the expression when y = 2 is 6

Answer:

The answer is 6

How you get this answer is by plugging in the number 2 in as y and following the order of operations.

Answer:

Take the information given and create an equation that add up to 360.

Step-by-step explanation:

You might assume the smallest angle to be the given 55, so that would make the third term 120+55. The fourth angle is unknown, x

The equation sets up as

55+65+(55+120)+x = 360

Add all the numbers to get 295.

295+x=360

Subtract 360-295 = x

x=65

The four angles are 55°,65°,175° and 65°

I hope this answers your question!

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.

The x and y values of its coordinates become the negatives of the original values.

The rule is

(x,y) ⟶ (-x,-y)

If the coordinates of A are (-5,1),

The coordinates of A' are (5,-1).

The figure below shows the graph or your rectangle and its rotated image.

Answer:

(x, y) ⟶ (−x, −y); A′ is at (5, −1)

Step-by-step explanation:

just took the FLVS test and got a 100% :)

Answer:

h(7) = 3

Step-by-step explanation:

h(x) = -[tex]\sqrt{x-3}[/tex] + 5

h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5

h(7) = -√4 + 5

h(7) = -2 + 5

h(7) = 3

Answer:

The side length of the square region is about 181,166 kilometres.

Step-by-step explanation:

population density = no. of people / area of region

given

population = 200,000

population density = 1650 people per square kilometers

1650 = 200,000/area of region

=> area of region = 1650*200,000 = 330,000,000

given that region is square in shape

area of square = side^2

side^2 =  330,000,000

side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]

The side length of the square region is about 181,166 kilometres.