Mary wants to fill a cylindrical cup with water. The dimensions of the cup are labeled below.
Radius: 6cm
Height: 15cm
How much water can Mary put in the cup without it overflowing?
A. 1,620
B. 540
C. 270
D. 180

Answer:

D. V=314.2cm³

Step-by-step explanation:

The volume of the cone is:

V=pi×r²×h/3=pi×5²×12/3=100×pi=314.2cm³

Answer: D) 314.2 [tex]cm^3[/tex]

Step-by-step explanation:

The formula for finding the volume of a right cone is [tex]V=\pi r^2\frac{h}{3}[/tex]

r is the radius and h is the height/altitude.

We can sub these values in and solve

[tex]V=\pi (5^2)(\frac{12}{3} )\\V=\pi (25)(4)\\V=100\pi[/tex]

Let's sub in 3.14 for [tex]\pi[/tex] since that is a close estimate

[tex]V=(100)(3.14)\\V=314[/tex]

The volume is about 314.

Our closest answer to that is D so that is the correct choice.

Answer: they are not equivalent be 3(6x+1) is 18x+3 and 21x stays the same so there for they are not equivalent to each other

Step-by-step explanation:

Answer:

(-3,-2)

(-3,4)

(3,4)

(3,-3)

Step-by-step explanation:

Answer:

cant see nun mind showing it

answer is

(Y)=-23,-14, -5,4,13

hope this will help you

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

2 = 2 × 1

6 = 2 × 3

GCF = 2

[tex]\frac{2 /2 }{6/2} =\frac{1}{3}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\boxed{\frac{1}{3}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplify:}}\\\\\frac{2}{6}\\\\\boxed{\text{Finding the Factors:}}\\\\2: 2\\6 : 2,3\\\\\boxed{\text{The GCF would be 2.}}\\\\\frac{2}{6} =\frac{2/2}{6/2}=\boxed{\frac{1}{3}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

4

Step-by-step explanation:

1/2=0.5

2/0.5=1

4x1=4

Answer:

c. -x + 3x + 7  = 2x+7

Step-by-step explanation:

f(x) = 3x +1 and g(x) = x - 6

f-g = 3x +1 - ( x - 6)

Distribute the minus sign

     = 3x+1 - x+6

     = 2x +7

Answer:

B is the correct answer

Step-by-step explanation:

6(9+6)=54+36

6(15)=90

90=90

Answer:

14 - 3i

Step-by-step explanation:

Distribute the minus sign amongst the second equation:

(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i

Solve:

16 - 6i - 2 + 3i:

16 - 2 - 6i +3i

14 - 3i

Hope this helps!

Answer:

530.929158457

Step-by-step explanation:

13x13= 169 x pi= 530.929158457

Step-by-step explanation:

You need to multiply the row and column to get the numbers

for example the block with row 3 column 3,the answer is 3 x 3= 9

each spinner can land on any of the points it has, thus each of the number have the same possibility.

The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.

Answer:

20?

Step-by-step explanation:

If 3 triangles = 30 they we could assume that each triangle = 10

10 + 10 + 10 = 30

If one triangle = 10 then the 2 circles would = 5 in the 2nd equation

10 + 5 + 5 = 20

If 1 circle = 5 then the 1 full squares would = 4

5 + 4 + 4 = 13

1 triangle = 10 , 1 circle = 5, Half a square = 2

10 + 5 * 2 = ?

Using PEMDAS we would multiply 2 and 5 first to get 10

10 + 10 = 20

Answer:

Dependent

Step-by-step explanation:

The first draw has 10 marbles, the second draw has 9 marbles and the color of those 9 marbles depends on the marble picked in the first draw so the events are dependent.

Answer:

Dependant

Step-by-step explanation:

It would be independent if you put the marble BACK, because at first it was 1/10 to get the white marble and then it became 1/9.

Answer:

60%

Step-by-step explanation:

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

[tex]\Huge{\textbf{\textsf{{\purple{Ans}}{\pink{wer}}{\color{pink}{:}}}}} \\ [/tex]

[tex]percentage = \frac{24}{40} \times 100\% \\ = 60\%[/tex]

so answer is 60%

Answer:

[tex]thank \: you[/tex]

Answer: You have the correct answer. It's choice B

Domain = [tex]\left(-\infty, \frac{2}{5}\right)[/tex]

Nice work.

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

Explanation:

The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.

[tex]2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}[/tex]

So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.

However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.

In short, the domain as an inequality is [tex]x < \frac{2}{5}[/tex], which is the same as saying [tex]-\infty < x < \frac{2}{5}[/tex] and that converts to the interval notation [tex]\left(-\infty, \frac{2}{5}\right)[/tex]

We don't use a square bracket because we don't want to include the endpoint 2/5.

Answer:

OK

Step-by-step explanation:

The first screenshot is for #7 and the second screenshot is for #8

Answer:

b open down and have a maximum

Step-by-step explanation:

A negative value for a will make the quadratic function open down

A downward facing parabola will have a maximum

Answer:

The answer is 4.

Step-by-step explanation:

Edge 2021

Answer:

4

Step-by-step explanation:

EDGE2021

Answer: 0.2

Step-by-step explanation:

1 divided by 5 = 0.2

Answer:

0.2

Step-by-step explanation:

1/5 = 1 divided by 5.

This will also apply to any fraction

Fraction = Numerator divided by Denominator

Answer:

(1,-2)

Step-by-step explanation:

Choose any value for x that is in the domain to plug into the equation.

Choose 0 to substitute in for x to find the ordered pair.

(0, -19/6)

Choose 1 to substitute in for x to find the ordered pair.

Remove parentheses.

y= -19/6 + 7(1)/6

Simplify

y=2

Use the

x and y values to form the ordered pair.

(1,−2)

Given : Scale drawing of Angel's rectangular room is 5cm by 7 cm

We know that, Area of a rectangle is given by : Length × Width

⇒   Area of Angel's rectangular room = (5 cm × 7 cm) = 35 cm²

Given : The scale is 1 cm = 4 feet

⇒   Area of Angel's rectangular room in square feet = 35 × (4 feet)²

⇒   Area of Angel's rectangular room in square feet = 35 × 16 feet²

⇒   Area of Angel's rectangular room in square feet = 560 feet²

Answer:

5328.78

Step-by-step explanation:

formula:

[tex]P(1+\frac{i}{n})^{n*t}\\2600(1+\frac{.08}{12})^{12*9}\\\\2600(1.006667)^{108}=5328.77861305[/tex]

this rounds to 5328.78

Answer:

Step-by-step explanation:

From the given information, it is likely that the random variable(X) have the values below:

Let head be H

Let tail be T

So;

X(HH) = 2;

X(HT) = 1;

X(TH) = 1;

X(TT) = 0

The distribution can now be computed as:

[tex]p(X= TT) = \dfrac{1}{4}[/tex]

[tex]p(X=TH) = \dfrac{1}{4}[/tex]

[tex]p(X=HT) = \dfrac{1}{4}[/tex]

[tex]p(X=HH)= \dfrac{1}{4}[/tex]

Now, the expected value that is equivalent to the number of heads when the coin is flipped twice is:

[tex]E(X) = p(TT)*X(TT)+p(TH)*X(TH)+p(HT)*X(HT)+p(HH)*X(HH)[/tex]

[tex]E(X) = \dfrac{1}{4}\times 0 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 1 + \dfrac{1}{4}\times 2[/tex]

[tex]E(X) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{1}{2}[/tex]

[tex]E(X) =\dfrac{1+1+2}{4}[/tex]

[tex]E(X) =\dfrac{4}{4}[/tex]

E(X) = 1

[tex]E(X^2) = p(TT)*X(TT)^2+p(TH)*X(TH)^2+p(HT)*X(HT)^2+p(HH)*X(HH)^2[/tex]

[tex]E(X^2) = \dfrac{1}{4}\times 0^2+ \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 1^2 + \dfrac{1}{4}\times 2^2[/tex]

[tex]E(X^2) = 0 + \dfrac{1}{4}+ \dfrac{1}{4} + \dfrac{4}{4}[/tex]

[tex]E(X^2) =\dfrac{1+1+4}{4}[/tex]

[tex]E(X^2) =\dfrac{6}{4}[/tex]

[tex]E(X^2) =1.5[/tex]

Finally; To compute E²[X]

E²[X] = E[X]²

E²[X] = 1²

E²[X] = 1

9514 1404 393

Answer:

  x ≈ 13.7

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(58°) = 22/x

  x = 22/tan(58°) ≈ 13.747

The value of x is about 13.7 units.

Answer:

18°

Step-by-step explanation:

Know that the intersection of two lines and the angles opposite each other are equal

3t+12=66

Subtract 12 from both sides

3t=54

Divide 3 from both sides

t=18

Step-by-step explanation:

The sides with the variables are the same length, so make them equal.

x+2=2x-3

Get x alone on one side.

5=3x

Simplify.

5/3 = x

Answer:

5

Step-by-step explanation:

x+2 = 2x-3

+3 +3

x+5 = 2x

-x -x

x=5

Hope this helps! :)