8cm
20cm
What is the volume of this cylinder?

Answer:

12

Step-by-step explanation:

Answer:

8 elements

Step-by-step explanation:

From the question given above, the following data were obtained:

Universal set (S) = 132

Set A = 63

Set B = 35

n(AuB)ᶜ = 89

n(A but not in B) =?

Next, we shall determine the number of elements common to both set A and Set B. This can be obtained as follow:

Let the number common to both set A and B be x i.e

(AnB) = x

nA = 63

nB = 35

n(AuB)ᶜ = 89

Universal set (S) = 132

S = nA + nB + n(AuB)ᶜ – (AnB)

132 = 63 + 35 + 89 – x

132 = 187 – x

Collect like terms

132 – 187 = – x

– 55 = – x

Divide both side by –1

x = –55 /–1

x = 55

Thus, the number of elements common to set A and B is 55.

Finally, we shall determine the number of elements in A but not in B as follow:

nA = 63

n(AnB) = 55

n(A but not in B) =?

n(A but not in B) = nA – n(AnB)

n(A but not in B) = 63 – 55

n(A but not in B) = 8

Thus, 8 elements are in set A but not in set B.

Answer:

I would say y=45x+25

I’m doing the same workbook page

(If this is wrong I’m sorry)

Hope this helps

Have a great day/night

Answer:

267.

Step-by-step explanation:

Answer:

a) 96m

b) 2 m/s^2

Step-by-step explanation:

The distance travelled in a velocity time graph as shown in the image is the area of the shape. As such, considering the first 14 seconds, the distance covered will be computed by finding the area of the shape.

Note that the shape to be considered ends t the 14 seconds mark. This shape is a trapezium. The area of  a trapezium is given as

A = 1/2(a + b) h

where a and b are the parallel sides of the trapezium and h is the height As such, the distance covered in the first 14 seconds

= 1/2 (14 + 10) * 8

= 4 * 24

= 96m

The acceleration after 4 seconds

Acceleration is the rate of change of velocity with time, at time 0 second, the velocity is also 0 but at time 4 seconds, the velocity is 8 m/s hence, the acceleration after 4 seconds

= 8/4

= 2 m/s^2

The outlier boundaries for the given data set is: any value that is less than 30 or greater than 46.

An outlier in a data can be defined as any value that is less than Q1 - 1.5 × IQR or greater than Q3 + 1.5 × IQR.

Given the data, 34, 38, 41, 40, 36, 36, 38, 40, we have:

Q1 = 36

Q3 = 40

IQR = Q3 - Q1 = 40 - 36 = 4

Q1 - 1.5 × IQR = 36 - 1.5 × 4 = 30

Q3 + 1.5 × IQR = 40 + 1.5 × 4 = 46

Therefore, the outlier would be: any value that is less than 30 or greater than 46.

Learn more about outlier on:

https://brainly.com/question/24195133

#SPJ1

Answer:

21120 hours long

Step-by-step explanation:

42240=20 miles

42240/2=21120h

Answer:

200 hours (yes, very long)

Step-by-step explanation:

You take about 2,000 steps a mile. So, you have to multiply 2,000 by 20 which is 40,000. Then, you have to divide 40,000 by 20. Lastly, you will end up with 200 hours as your answer.

Hope this helps :)

Given:

The expression is

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

To find:

The simplified form of given expression.

Solution:

We have,

[tex]{\dfrac{2}{5}k-\dfrac35+\dfrac{1}{10}k}[/tex]

On combining like terms, we get

[tex]=\left(\dfrac{2}{5}k+\dfrac{1}{10}k\right)-\dfrac{3}{5}[/tex]

Taking LCM in the parenthesis, we get

[tex]=\left(\dfrac{4k+k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\left(\dfrac{5k}{10}\right)-\dfrac{3}{5}[/tex]

[tex]=\dfrac{k}{2}-\dfrac{3}{5}[/tex]

Therefore, the simplified form of the given expression is [tex]\dfrac{k}{2}-\dfrac{3}{5}[/tex].

Answer:

k/2-3/5

Step-by-step explanation: Khan

Answer:

2,-5

Step-by-step explanation:

Answer:

120 Degrees

Step-by-step explanation:

A hexagon has six sides, and we can use the formula degrees = (# of sides – 2) * 180. Then degrees = (6 – 2) * 180 = 720 degrees. Each angle is 720/6 = 120 degrees.

Answer:

c.180

Step-by-step explanation:

45 times 4= 180

Answer:

A

Step-by-step explanation:

Step-by-step explanation:

2400/100=24

24×10.5=252

252×5= 1260

Answer:

Yes it is.

Step-by-step explanation:

When we mix Fe(iron) to CuSO⁴ (Copper sulphate), Iron removes copper from CuSO⁴ and makes FeSO⁴. This happens because iron is more reactive than copper. We cannot remove iron from this solution now until any stronger element is added.

Answer:

(a) Chemical reaction of iron nail with copper sulphate solution in water.Iron displaces copper ions from an aqueous solution of copper sulphate.It is a single displacement reaction of one metal by another metal.Iron is placed above copper in the activity series.

Answer:

[tex]\mathrm{A)\:}-6[/tex]

Step-by-step explanation:

Notice that in the second equation, the coefficient of [tex]y[/tex] is [tex]2[/tex] times greater than in the first. Therefore, by making the coefficient of [tex]x[/tex] in the second equation [tex]2[/tex] times greater than in the first, it's impossible to only isolate one variable.

Therefore, when [tex]a=-3\cdot 2=\fbox{-6}[/tex], there are no solutions to this system.

Answer: 47

Step-by-step explanation:

we simply substitute g for 7 and h for 5.

8(5) + 7

40 + 7

47

Answer:

12

Step-by-step explanation:

Area of triangle formula is b*a (1/2)=A

b is height for non-right triangles

6*4(1/2)=A

24(1/2)=A

12=A

Answer:

= 7.5 USD per hour

Step-by-step explanation:

This is a fraction equal to

52.5 USD ÷ 7 hours

We want a unit rate where

1 is in the denominator,

so we divide top and bottom by 7

[tex]\frac{52.5}{7}[/tex]= 7.5 USD per hour

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

Answer:

C. 10.0 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

radius is half of diameter

[tex]r = \frac{d}{2} \\r=\frac{3.2}{2} \\[/tex]

[tex]C= 2 (3.14) \frac{3.2}{2}[/tex]

[tex]C= (3.14)3.2\\C=10[/tex]

Answer:

[tex]g(t) + h(t) \\ (2t -2 ) + (2t - 5) \\ (4t - 7)[/tex]

(4t-7) is the right answer.

Step-by-step explanation:

g(t) = 2t - 2

h(t) = 2t - 5

g(t) + h(t)

(2t - 2) + (2t - 5)

2t - 2 + 2t - 5

(4t - 7) ✓✓✓✓

Answer:

60

Step-by-step explanation:

Hope this helps

Answer:

60

Step-by-step explanation:

Answer:

Step-by-step explanation:

x^2-(2+2)x+4=0

or, x^2-2x-2x+4=0

or, x(x-2)-2(x-2)=0

or, (x-2)(x-2)=0

Now,

Either, x-2=0

=2

Or, x-2=0

=2

The answer is 201.17

Answer:

A

Step-by-step explanation:

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