What are the odd numbers

Answer: 72 bottles

Given,

internal diameter=36cm

internal radius=36/2=18cm

volume of bowl=2/3 πr³

=2/3(22/7)(18³)

=2×22×18³/7×3

=12219.4cm³

volume of bottle=πR²h

=22/7(3²)(6)

=22×9×6/7

=169.7cm³

no. of bottles required=12219.4/169.7

=72.23=72 bottles approx

Answer:

6^10

Step-by-step explanation:

2+11=13

13-3=10

We have that

The Matrix A  is a singular square matrix and because its determinate is zero. No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

From the question we are Given the matrix:

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

Invertible Matrix

In linear algebra, an n-by-n square matrix A is called invertible if there exists an n-by-n square matrix B such that

[tex]AB=BA=I_n[/tex]  

where In denotes the n-by-n identity matrix and the multiplication used is ordinary matrix multiplication.

Invertible Matrix characteristics does not apply to singular square matrix, A square matrix is singular if and only if its determinant is zero

Generally the determinate of Matrix A is given as

[tex]A= \begin{bmatrix}6 & -4 \\-9 & 6\end{bmatrix}[/tex]

[tex]D=(6*6)-(-4*-9)\\\\D=0[/tex]

In conclusion

The Matrix A is a singular square matrix and because its determinate is zero.

So, No the Matrix A is inveritible because its determinant is not equal to zero.

Option E is correct

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Answer:

The average is mean

Mean is the sum of all the numbers divided by the total so the first prime numbers which are grater than 10 are 11, 13, 17, 19.

So we will add these

11+13+17+19=60

60/4= 15

SO 15 is the answer

Answer:

1.8 km

Step-by-step explanation:

The scale on the map is 1 : 15000.

This means that every 1 cm on the map is equal to 15000 cm on the ground.

12 cm on the map will therefore be:

12 * 15000 = 180000 cm

Let us convert to kilometres:

100000 cm = 1 km

180000 cm = 180000 / 100000 = 1.8 km

12 cm on the map will be 1.8 km on the ground.

Answer:

(D) 3x−4

Step-by-step explanation:

Factor Theorem

Given a polynomial P(x) and a linear function x-a, If P(a)=0, then the linear function x-a is a factor of P(a).

In Option A:

[tex]L$inear Function =2x+3\\Set 2x+3=0$\\x=-\frac{3}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(-\frac{3}{2})=6(-\frac{3}{2})^4+(-\frac{3}{2})^3-45(-\frac{3}{2})^2+26(-\frac{3}{2})+24\\\\p(-\frac{3}{2})=-89.25[/tex]

In Option B

[tex]L$inear Function =3x-2\\Set 3x-2=0$\\x=\frac{2}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{2}{3})=6(\frac{2}{3})^4+(\frac{2}{3})^3-45(\frac{2}{3})^2+26(\frac{2}{3})+24\\\\p(\frac{2}{3})=22.8[/tex]

In Option C

[tex]L$inear Function =2x-1\\Set 2x-1=0$\\x=\frac{1}{2} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{1}{2} )=6(\frac{1}{2} )^4+(\frac{1}{2} )^3-45(\frac{1}{2} )^2+26(\frac{1}{2} )+24\\\\p(\frac{1}{2} )=26.25[/tex]

In Option D

[tex]L$inear Function =3x-4\\Set 3x-4=0$\\x=\frac{4}{3} \\p(x)=6x^4+x^3-45x^2+26x+24\\p(\frac{4}{3} )=6(\frac{4}{3})^4+(\frac{4}{3} )^3-45(\frac{4}{3} )^2+26(\frac{4}{3})+24\\\\p(\frac{4}{3} )=0[/tex]

We can see that only Option D: 3x−4 gives a result of 0. Therefore, by the factor theorem, it is a factor of the polynomial.

Answer: 1/200 * (5a-2b)(5a+2b)

Step-by-step explanation:

a^2/8 - b^2/50

Factor out 1/200,

1/200 * (25a^2 - 4b^2)

Using a^2 - b^2 = (a-b)(a+b),

1/200 * (5a-2b)(5a+2b)

Answer:

1/2(a/2+b/5)(a/2-b/5)

Step-by-step explanation:

a²/8- b²/50= 1/2(a²/4- b²/25)= 1/2(a/2+b/5)(a/2-b/5)

When you look at the equation it's basically in slope-intercept form

.[tex]f(x)=x-3[/tex]  = [tex]y=x-3[/tex]

which mean that your coordinates would be (0, -3) and (3,0)

Answer:

5/12 is greater

Answer:

5/12 is greater than 1/12

Step-by-step explanation:

when you compare 2 fractions with the same denominator, greater is the one with bigger numerator so 5/12  

Answer:

a) 72

b) 1/72

c) 1/36

Step-by-step explanation:

a) number of ways she can choose route= 3C1 = 3

   number of ways she can choose parking lots= 4C1 = 4

number of ways she can choose entrances= 3C1 = 3  

number of ways she can choose elevators= 2C1 = 2

number of ways she can go to office= number of ways she can choose route×number of ways she can choose parking lots×number of ways she can choose entrances×number of ways she can choose elevators

      number of ways she can go to office= 3×4×3×2

                                                                      = 72

b) Probability of morning side= number of morning side/ total number of routes=  1/3

probabiltiy of Parking lot A=  number of parking lot A/ total number of parking lot= 1/4

probability of south entrance= number of south entrance/ total number of entrances=  1/3

probablity of elevator 1=  number of elevator 1/ total number of elevator= 1/2

combine probability= 1/3× 1/4×1/3×1/2 = 1/72

c) Probability of Industrial Avenue= number of industrial avenue/ total number of avenue= 1/3

Probability of parking lot D= number of parking lot D/ total number of parking lot after deducting number of parking lots A and B = 1/2

Probability of north entrance= number of north entrance/ total number of entrance= 1/3

probablity of elevator 2= number of elevator 2/ total number of elevator

                                      = 1/2

combine probability= 1/3 × 1/2 × 1/3 ×1/2

                                  = 1/36

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer:

[tex]\frac{x^2}{16} +xy+4y^2[/tex] can be factored out as: [tex](\frac{x}{4} +2\,y)^2[/tex]

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Now, let's try to identify the values of [tex]a[/tex] and [tex]b[/tex] in the given trinomial.

Notice that the first term and the last term are perfect squares:

[tex]\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2[/tex]

so, we can investigate what the middle term would be considering our [tex]a=\frac{x}{4}[/tex], and [tex]b=2y[/tex]:

[tex]2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y[/tex]

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

[tex](\frac{x}{4} +2\,y)^2[/tex]

Answer:

y= 71   Reason: alternate angle to 71 degrees

z = 44

Step-by-step explanation:

You already solve for x.

y = 71 because it is alternate to 71 degrees you see up there.

For z:

all angles inside a triangle sum upto 180

z=180-(71+65) = 44

Answer: 2.4%

Step-by-step explanation:

SI = prt / 100

96 = ( 800 x r x 5) / 100

96 = 40r

r = 96 / 40 = 2.4%

Answer:

17. [tex]2^{6}[/tex]

19. 2 * 5

21. 8²

Step-by-step explanation:

∠1 = ∠4 = 57° (vertical angles)

∠6 = 123° (same side interior angles are supplementary)

Answer:

The answer is 123

Step-by-step explanation:

Angle 5 is the same measure as angle one, and a straight line measures 180 degrees. Subtract 57 from 180, and you get the remaining angle. 123 degrees.

Answer:

7,035.95

Step-by-step explanation:

If your Current Principal Is 4,550.00, and your interest rate is 5.6%, then in 8 years you would have 7,035.95 if your interest rate is anually.

-3

Explanation:

Rate of change in the interval

X=0 to X=3 is given by,

[tex]r = \frac{f(3) - f(0)}{3 - 0} \\ here \\ f(3) = 1 \\ f(0) = 10 \\ r = \frac{1 - 10}{3} \\ \: \: \: = \frac{ - 9}{ 3} \\ \: \: \: \: = - 3 \\ hope \: it \: helps.....[/tex]

Answer:

the answer should be c

Step-by-step explanation:

Answer:

33%

Step-by-step explanation:

- The area of the inner white circle is π4² = 16π

- The area of the blue "band" is π7² - π4² = 33π

- The total area is π10² = 100π

The ratio of the blue band and the total area is 33π/100π ×100% = 33%

Answer:

z is any real number

Step-by-step explanation:

2.5(2z + 5) = 5(z + 2.5)

Distribute

5z + 12.5 = 5z +12.5

Subtract 5z from each side

5z -5z + 12.5 = 5z-5z +12.5

12.5 = 12.5

This is always true so z can be any real number

Answer:

All Real Numbers

Step-by-step explanation:

We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),

[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]

Solution; All Real Numbers

Answer:

US is parallel to RT, and UR is parallel to ST

ST is perpendicular to US and UR is perpendicular to RT

Basically anywhere that there's lines that make right angles are perpendicular to each other

I hope this helps

Step-by-step explanation:

Answer:

acceleration = 9.8 m/s^2

Step-by-step explanation:

The problem expects the user to do the rate of change between any two pairs of (time, velocity) from the table, and see that they all render the same value. Notice as well that the rate of change of a difference in velocities divided a difference in time, will render units of acceleration (in this case [tex]\frac{m}{s^2}[/tex]

Let's use for example (0 s ,0 m/s) and the following point: (1 s, 9.8 m/s)

the rate of change is: [tex]acceleration= \frac{9.8-0}{1-0} \frac{m}{s^2} =9.8 \, \frac{m}{s^2}[/tex]

In fact you can use any two pairs of the table, and will get the same result.

So this is the acceleration is [tex]9.8 \, \frac{m}{s^2}[/tex]

The acceleration due to gravity is 9.8 m/s^2.

Answer:

(55,9)

Step-by-step explanation:

^

Answer:

[tex] \boxed{m \angle SZT = 121 \degree } [/tex]

Given:

[tex]m \angle RZT = 137 \degree \\ m\angle RZS = 56 \degree [/tex]

Step-by-step explanation:

[tex]= > m \angle RZT = m\angle RZS + m \angle SZT \\ \\ = >157 \degree = 36 \degree+ m \angle SZT \\ \\ = > 157 \degree - 36 \degree = m \angle SZT \\ \\ = > 121 \degree = m \angle SZT \\ \\ = > m \angle SZT = 121 \degree [/tex]

Answer: D

Step-by-step explanation: D

Answer:

5,5,5

Step-by-step explanation:

an equilateral triangle

Answer:

30

Step-by-step explanation:

3*10 = 30

Answer:

30

Step-by-step explanation:

PEMDAS says you do (8+2) first, which equals 10, then you multiply 3 by 10, which equals 30.