What is the volume of the cylinder below?
O A. 3787 unite
O B. 1687 unite 3
O C. 2524 unite 3
O D. 2887 units 3

Answer:

A gradient is negative if it goes down to the right corner and positive if it goes up to the right corner of a graph.

Step-by-step explanation:

Answer:

  0.333

Step-by-step explanation:

The first sequence starts at 1 and has a common difference of 2. It will include every odd number in the range.

__

The second sequence starts at 1 and has a common difference of 3. It will include odd numbers and the even numbers 4, 10, 16, .... That is, all even numbers of the form 6n -2 will be included. The last one corresponds to the largest value of n such that ...

  6n -2 ≤ 1000

  6n ≤ 1002

  n ≤ 167

That is, 167 even numbers will also be excluded.

__

The third sequence starts at 1 and has a common difference of 4. Every number in this sequence is also a number in the first sequence.

__

So the numbers in these sequences include all 500 odd numbers and 167 even numbers, for a total of 667 numbers. The probability that a randomly chosen number is not in one of these sequences is ...

  (1000 -667)/(1000) = 333/1000 = 0.333 . . . . p(not a sequence term)

Answer:

1/3

Step-by-step explanation:

Step-by-step explanation:

Z-score = (score-mean)/standard deviation

= (3.06-2.38)/0.45

= +1.51

The significance of z-score will be "1.5111".

Given values are:

Mean,

[tex]\mu = 2.38[/tex]

Standard deviation,

[tex]\sigma = 0.45[/tex]

GPA,

[tex]\bar x = 3.06[/tex]

Now,

→ The z-score will be:

= [tex]\frac{\bar x - \mu}{\sigma}[/tex]

By putting the given values, we get

= [tex]\frac{3.06-2.38}{0.45}[/tex]

= [tex]\frac{0.68}{0.45}[/tex]

= [tex]1.5111[/tex]

Learn more about standard deviation here:

https://brainly.com/question/5778359

The expression [tex]4^{3} *4^{x}[/tex] is equivalent to [tex]4^{x+3} , 64*4^{x}[/tex].

An expression is a combination of symbols and it does not convey full meaning of anything.

We have been given the expression 4^{3} *4^{x} and we have to find the equivalent equations.

If we see that both bases are equal so we will add the power with only one base from which  4^{x+3} .

If we see that 4 has a power of 3 so we will open it and it becomes 4*4*4*[tex]4^{x}[/tex]

Hence the equivalent expressions are 4^{x+3} , 64*4^{x}.

Learn more about equivalent expressions at https://brainly.com/question/2972832

#SPJ2

Answer:

Step-by-step explanation:

eq. of any line parallel to y=1/2 x-4 is

y=1/2 x+a,where a is constant.

∵ it passes through (4,5)

5=1/2(4)+a

5=2+a

a=5-2=3

so reqd. eq. is y=1/2 x+3

Answer:

Equation of the line is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

[tex]y = \frac{1}{2} x - 4[/tex]

comparing this equation with the above formula

Slope or m is 1/2

Since the lines are parallel their slope are also the same

That's

m = 1/2

Equation of the line using point (4,5) is

[tex]y - 5 = \frac{1}{2} (x - 4) \\ y - 5 = \frac{1}{2} x - 2 \\ y = \frac{1}{2} x - 2 + 5 \\ y = \frac{1}{2} x + 3[/tex]

Hope this helps you.

Answer:

(–1, –5)

Step-by-step explanation:

Two linear equations are represented by using the tables below. A 2-column table with 4 rows titled Equation A. Column 1 is labeled x with entries negative 2, 0, 3, 4. Column 2 is labeled y with entries negative 8, negative 2, 7, 10. A 2-column table with 4 rows titled Equation B. Column 1 is labeled x with entries negative 3, negative 1, 1, 5. Column 2 is labeled y with entries negative 9, negative 5, negative 1, 7. The data points for equation A are graphed on the coordinate plane below and are connected by using a straight line. On a coordinate plane, a line goes through (0, negative 2) and (2, 4). What is the solution to the system of equations? (–2, –8) (–1, –5) (0, –2) (2, 4)

Answer: To find the equation of line A, we can use any two points. Let us use points (-2, -8) and (0, -2). Therefore, the equation of line A can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-8)=\frac{-2-(-8)}{0-(-2)}(x-(-2))\\y+8=3(x+2)\\y+8=3x+6\\y=3x+6-8\\y=3x-2[/tex]

To find the equation of line B, we can use any two points. Let us use points (-3, -9) and (-1, -5). Therefore, the equation of line B can be gotten using the equation:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\ Substituting:\\y-(-9)=\frac{-5-(-9)}{-1-(-3)}(x-(-3))\\y+9=2(x+3)\\y+9=2x+6\\y=2x+6-9\\y=2x-3[/tex]

To find the solution to the system of equations, we solve them simultaneously

y = 3x   - 2              .             .             .         1)

y = 2x - 3                .                .           .           2)

Subtracting equation 2 from 1:

x + 1 = 0

x = -1

Put x = -1 in equation 1)

y = 3(-1) - 2

y = -3 - 2

y = -5

Therefore the solution to the equation is (-1, -5)

the correct answer is B (–1, –5)

Answer:

-35 dollar net loss

Step-by-step explanation:

Since the gambler won $65 but still lost $100, we can see that we would still have a negative net loss.

Answer:

Step-by-step explanation:

To find the distance d we use sine

sin∅ = opposite / hypotenuse

d is the opposite

the hypotenuse is 85ft

∅ = 68°

sin 68 = d / 85

d = 85 sin 68

d = 78.810 feet

Hope this helps you

Answer:

The asnwer is 12100 cm^2 of plastic without lid

Step-by-step explanation:

There 6 sides in a box, but there is no lid so only 5 sides.

Calulate the area of all 5 sides and add them up.

( ( 50 x 30) x 2 ) +( ( 70 x 50 ) x 2) + ( 70 x 30 )

=12100 cm^2

Answer:

120

Step-by-step explanation:

The area of the smaller square is half of the area of the larger square because it's formed by joining the midpoints. Therefore, the area of the big square is 60 * 2 = 120.

Answer:

120

Step-by-step explanation:

Answer:

4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres

Step-by-step explanation:

1 light year = [tex]9.46 * 10^{12[/tex] kilometres

So,

4.25 light years = 9.46 × 4.25 × [tex]10^{12[/tex] km

4.25 light years = 4.02 × [tex]10^{13[/tex] kilometres

Answer:

4.25 light years

Step-by-step explanation:

Answer:

Valid

Step-by-step explanation:

No calculations, but,

Def. of isosceles triangle= two congruent sides.

yes is isosceles

Step-by-step explanation:

valid

Answer:

Step-by-step explanation:

[tex]2(x + 3) = x - 4[/tex]

Multiply each term in the parenthesis by 2

[tex]2 x + 6 = x - 4[/tex]

Move variable to L.H.S and change its sign

[tex]2x - x + 6 = - 4[/tex]

Move constant to R.H.S and change its sign

[tex]2x - x = - 4 - 6[/tex]

Calculate

[tex]x = - 10[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

She is incorrect

Step-by-step explanation:

Step 1: substitute

135 into x in both equations

Step 2: Solve the equations. Once you do this you will get y = 5375 for the first one and y = 4720 for the second one, therefore she is incorrect

Answer:

Step-by-step explanation:

is an arithmetic progression with ratio=4

a1=5

a2=a1+4=5+4=9

a3=a2+4=9+4=13

...............

a n+1 = a n+4

the condition can be written as the set of sequence of numbers from 5 to infinite which are written from nth term 4n + 1.

Answer:

B. Is the Answer 100 m²

Step-by-step explanation:

The ratio of the two solid is 729/125  

The ratio of the surface area = (729/125)^(2/3)=81/25  

Surface area = 25 * 324 / 81 = 100 m²

Answer:

128

Step-by-step explanation:

You have two jars and seven marbles.

You do [tex]2^{7}[/tex].

That is 128

Answer:

1st blank: 160(2) - 16(2)²

2nd blank: 256

3rd blank: 5

4th blank: 400

5th blank: 10

Step-by-step explanation:

h(x) = -16x² + 160x

To find h(2) just replace x = 2 into the equation

h(2) = 160(2) - 16(2)² = 256 in

The maximum height coincides with the vertex of the parabola.

x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5

y-coordinate of the vertex: -16(5)² + 160(5) = 400

To hit the ground means h(x) = 0

-16x² + 160x = 0

16x(-x + 10) = 0

x = 0

or

-x + 10 = 0

x = 10

Answer:

The mean score for Ken was 100.

Step-by-step explanation:

The mean score is given by the sum of the scores in each round by the number of rounds played. So for Yaping the mean score is:

[tex]\text{mean}_{\text{Y}} = \frac{\text{sum}}{5}\\\frac{\text{sum}}{5} = 80\\\text{sum} = 5*80 = 400[/tex]

So the sum of the scores for Yaping was 400, since Ken had the same sum of score we can use that number to find his mean as shown below:

[tex]mean_{K} = \frac{400}{4} = 100[/tex]

The mean score for Ken was 100.

Answer:July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

Hope this helped!

<!> Brainliest is appreciated! <!>

Answer:

July: 10 August: 0 Sept: 100 October: 165 Nov: 750 Dec:65

Step-by-step explanation:

hope this help

Question

Points A, B and C are all on the

circumference of the circle. O represents the centre. DA and DB are tangents to the circle. Angle BDO = 31°

Work out the size of angle x

Answer:

62°

Step-by-step explanation:

To solve for the above question, we would be using circle theorems.

Step 1

Angle OBD = 90° This is because a radius and a tangent meet at 90°

Step 2

The sum of Angles in a triangle = 180°

180° = Angle OBD + Angle BDO + Angle BOD

180° = 90° + 31° + Angle BOD

Angle BOD = 180° - (90° + 31°)

= 180° - 121°

Angle BOD = 59°

Step 3

Angle BOD = Angle AOD because they are congruent ,therefore, Angle AOD = 59°

Step 4

The sum of angles of a straight line = 180°

Angle BOD, Angle AOD and Angle x are angles on a straight line

Hence,

180° = Angle BOD + Angle AOD + Angle x

180° = 59° + 59° + x

x = 180° - ( 59 + 59)°

x = 180° - 118°

x = 62°

Therefore Angle x = 62°

Answer:

5.1

Step-by-step explanation:

Answer:

1.7√9.18

= 5.4

Hope it helps

Answer:

4/3

Step-by-step explanation:

TanC = opposite/adjacent

TanC = 40/30 ➡ 4/3

Answer:

5+10/6+12

Step-by-step explanation:

5+10 is 15

6+12 is 18

so that would be 15/8 which is equal to 15/18

That is the best answer but this question doesn't really make sense.

Hope this helps!

Also side note: 5/6 is not proportional to 15/16. 5 * 3=15, but 6*3 does not equal to 16! Please check the question and make sure you typed the right thing! Thanks!

actually 5/6 and 15/16 are not in proportion

since 6*15 is not equal to 16*5

Answer:

Yes they can. y= -4x-2 and y= 2x-5

Step-by-step explanation:

They can because if you subtract 4x from 4x+y=-2 from both sides of the equation you will get y= -4x-2 which has similar structure as y=2x-5 because you have y on the right side and the x and the conosant on the left.

Answer: yes.

y = 2x - 5. and y = -4x -2

Step-by-step explanation. This is commonly known as slope intercept form . The second equation is rewritten by subtracting 4x from both sides.

The answer is B)

Explanation:

In the equation 7(2B + J), the 7 indicates the seven days in a week, and the J indicates the money spent on juice.  Thus, the B must represent the money spent on granola bars.

Answer:

The mass of the Blue whale is 200 times the mass of the cow

Step-by-step explanation:

Given

Mass of Cow = 9 * 10² kg

Mass of Blue Whale = 1.8 * 10⁵ kg

Required

Determine the relationship between both weights

Represent the mass of the cow with C and the mass of the whale with B

[tex]C = 9 * 10^2kg[/tex]

[tex]C = 9 *100kg[/tex]

[tex]C = 900kg[/tex]

[tex]B = 1.8 * 10^5kg[/tex]

[tex]B = 1.8 * 100000kg[/tex]

[tex]B = 180000kg[/tex]

Divide the bigger weight by the smaller weight

[tex]\frac{B}{C} = \frac{180000kg}{900kg}[/tex]

[tex]\frac{B}{C} = \frac{180000}{900}[/tex]

[tex]\frac{B}{C} = {200}{}[/tex]

Multiply both sides by C

[tex]C * \frac{B}{C} = {200}{} * C[/tex]

[tex]B = {200}{} * C[/tex]

[tex]B = 200}C[/tex]

From the expression above, it can be concluded that the mass of the Blue whale is 200 times the mass of the cow

Answer:

(-6, -8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]

Simply set our variables to what we know and solve:

-7 = (-8 + x)/2

-14 = -8 + x

x = -6

0 = (8 + y)/2

0 = 8 + y

y = -8

Answer:

The other endpoint is (-6,-8).

Step-by-step explanation:

I hope this helps