The sum of the first n odd numbers is n^2. The
sum of the first 30 odd numbers is
A)60
B)90
C)300
D)900​

Answer:

9420 ft

Step-by-step explanation:

1500 revolutions = 1500 full rotations or 360 degrees

Circumference = 6.28 ft      ( 3.14 x 2 )

Then we take rotations by the circumference

1500 x 6.28 = 9420

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Answer:

9420 ft  or  2.88 km

Step-by-step explanation:

d= 2 ft

1500 revs

C= πd= 3.14*2= 6.28 ft

distance= 1500*6.28= 9420 ft ≈ 2.88 km

Answer:

a) How much water was released during the flood?

14878080000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

0.78%

Step-by-step explanation:

a) How much water was released during the flood?

The first step would be to find out how many seconds are in a week

60 seconds = 1 minute

60 minutes = 1 hour

24 hours = 1 day

7 days = 1 week

Hence, the number of seconds in a week =

1 week × (7 days/1 week)× (24 hours/1 day )×( 60 minutes/1 hour) ×( 60 seconds/1 minute)

= 604800 seconds

Therefore, the quantity of water released per week =

604800 seconds × 24,600 cubic feet per second

= 14,878,080,000 cubic feet or 14,878,080,000ft³

b) What percentage of the dam was released during the flood?

This is calculated as quantity released during the week ÷ Quantity of water in the dam × 100%

Quantity of water released during the flood in a week = 14,878,080,000 cubic feet

Quantity of water in the dam= 1,900,000,000,000 cubic feet of water

Percentage of the dam released during the flood =

14,878,080,000 cubic feet ÷ 1,900,000,000,000 × 100

= 0.7830568421%

Approximately = 0.78%

Answer:

c. quadrant 111

Step-by-step explanation:

Answer: Quadrant IV

or 4

Step-by-step explanation:

Because quadrant 4 has both positive and negative, x is positive, y is negative, 7 is positive and  -5 is negative.

Answer:

The measure of angle ABC = The measure of Angle A' B' C'

Step-by-step explanation:

Because

<A = <A'

<B = <B'

<C = <C'

The answer above is right.

Answer:

3. 1/9 feet^3

Step-by-step explanation:

First, find the volume of one cube.

The volume of a cube can be found using the following formula:

V=s^3

We know that s, the side length is 1/3 feet. Therefore, we can substitute 1/3 ft in for s.

V= (1/3 ft)^3

Evaluate the exponent.

1/3 ft^3

=1/3 ft * 1/3 ft* 1/3 ft

=1/9 ft^2*1/3 ft

= 1/27 ft^3

V= 1/27 ft^3

Now find the volume of 3 cubes. We know the volume of one cube is 1/27 ft^3, therefore we can multiply 1/27 ft^3 by 3.

1/27 ft^3 * 3

Multiply 1/27 and 3.

1/27 * 3/1

=(1*3)/(27*1)

=3/27

=1/9

V= 1/9 ft^3

The volume of 3 cubes is 1/9 cubic feet, and choice 3 is correct.

Answer:

1/9; C

Step-by-step explanation:

V=s*s*s

Side Length: 1/3

V=1/3*1/3*1/3

V=1/27

1/27*3= 3/27

3/27 simplified eqauls 1/9

Answer:

(-3,0) (1,0)

Step-by-step explanation:

y=2x^2+ 4x - 6

Factor out the greatest common factor

y = 2( x^2 +2x -3)

Factor inside the parentheses

y = 2( x+3)(x-1)

Setting the equation equal to zero to find the x intercepts

0 =  2( x+3)(x-1)

Using the zero product property

x+3 = 0  x-1 =0

x = -3  x = 1

The x intercepts are

(-3,0) (1,0)

"sqrt" stands for "square root"

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

Explanation:

Angle C is 60 degrees because adding the angles gets A+B+C = 180. Put another way, C = 180-A-B. Therefore, C = 180-30-90 = 60.

We have a 30-60-90 triangle with

Check out the diagram below.

----------

From here, we use the 30-60-90 triangle template. The short leg is x, the hypotenuse is 2x and the long leg is x*sqrt(3). The area of this template triangle is

area = 0.5*base*height

area = 0.5*(short leg)*(long leg)

area = 0.5*x*(x*sqrt(3))

area = 0.5*x^2*sqrt(3)

set this equal to 32*sqrt(3) and you should find that 0.5x^2*sqrt(3) = 32*sqrt(3) solves to x = 8

----------

Therefore we can say,

The inequality in terms of q that models the situation is [tex]3+\frac{q}{7}+q \geq 0.7[/tex]

Given that,

Based on the above information, the inequality in terms of q should be [tex]3+\frac{q}{7}+q \geq 0.7[/tex]

Therefore we can conclude that The inequality in terms of q that models the situation is [tex]3+\frac{q}{7}+q \geq 0.7[/tex]

Learn more: brainly.com/question/15137133

Answer:

3+q/7+q is greater than or equal to 0.7

Step-by-step explanation: Khan

3+q/7+q is a fraction You`re welcome :)

Step-by-step explanation:

The numical sum of probabilities P(A) and P(B) = 4/7+1/7 = 5/7

Events A and B cannot be complementary because complementary events have their probabilities add up to exactly one.

Since P(A)+P(B)=5/7, A and B cannot be complementary.

Answer:

4

Step-by-step explanation:

3(x - 2) = 5x - 14      (given)

3x -6 = 5x -14          (Distribute the "3" to "x" and "2")

-2x -6 = -14              (subtract "5x" from both sides)

-2x = -8                    (Subtract "-6" from both sides)

x = 4                         (divide both sides with "-2")

Answer:

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

1

Step-by-step explanation:

The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.

Answer:

1

Step-by-step explanation:

y - 3 = (x - 2)

Solve for y. Then when the equation is in the slope-intercept form, y = mx + b, m is the slope.

y - 3 = x - 2

Add 3 to both sides.

y = x + 1

Compare to y = mx + b: y = 1x + 1

m = 1

Answer: The slope is 1.

Answer:

50 degrees

Step-by-step explanation:

The diagram is attached below.

Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the theorem stated above:

m∠3+m∠5=m∠1

2x+20+30=3x

3x-2x=50

x=50

The value of x is 50 degrees.

Answer:

50

Step-by-step explanation:

Answer:

The value of n for which xₙ₋₂ + xₙ₋₁ + xₙ = 68 is n = 9

Step-by-step explanation:

The nth term of Fibonacci number is given by the following relation;

[tex]F_n = \dfrac{(1 + \sqrt{5} )^n - (1 - \sqrt{5} )^n }{2^n\sqrt{5} }[/tex]

Given that we have ;

[tex]\Sigma x_n = \dfrac{(1 + \sqrt{5} )^{n-2} - (1 - \sqrt{5} )^{n-2} }{2^{n-2}\sqrt{5} } + \dfrac{(1 + \sqrt{5} )^{n-1} - (1 - \sqrt{5} )^{n-1} }{2^{n-1}\sqrt{5} }+\dfrac{(1 + \sqrt{5} )^{n} - (1 - \sqrt{5} )^{n} }{2^{n}\sqrt{5} }[/tex]When n = 3, we have;

∑xₙ = 4

When n = 4 we have

∑xₙ = 4

When n = 6 we have

∑xₙ = 16

When n = 9 we have

∑xₙ = 68

Therefore, we have the value of n for which xₙ₋₂ + xₙ₋₁ + xₙ = 68 is n = 9.

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

Answer:

exponential form =  2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Step-by-step explanation:

256

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Answer:

Step-by-step explanation:

[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]

Answer: x = 10

Step-by-step explanation:

Hi, to answer this question we have to apply proportions, since the sides are equivalent.

15/25

6/x

So, for equal ratios:

15/25 = 6/x

Solving for the missing side x:

x = 6 / (15/25)

x = 10

In conclusion, the correct option is D) 10

Feel free to ask for more if needed or if you did not understand something.  

Answer:

28 cm

Step-by-step explanation:

V=a³

a= ∛V= ∛21952 cm³ = 28 cm

Answer:

Step-by-step explanation:

28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.

Hope this helped,

Kavitha

Answer: -8, -7, -6, -5, -4

Step-by-step explanation:

Answer:

A = {-8, -7, -6, -5, -4}

Step-by-step explanation:

The integers greater than -9 and less than -3 are -8, -7, -6, -5, -4.

-9 < x < - 3

x = -8, x = -7, x = -6, x = -5, x = -4

Answer:

the angle of elevation of the sun is [tex]\approx 30^o[/tex]

Step-by-step explanation:

Let's make a diagram of the tree, ground and inclination of the rays of the sun, so we understand what right angle triangle we have. Please see the attached image.

Notice that our unknown is the angle [tex]\theta[/tex], and that we know the size of the side opposite to it, and of the side adjacent to it. Therefore the most convenient trigonometric formula to use is the tangent of the angle because:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{10}{17.3}\\\theta=arctan(\frac{10}{17.3})\\\theta\approx 30^o[/tex]

Answer:

1/9 cubic feet

Step-by-step explanation:

The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.

Answer:

Answer is x = 3

Step-by-step explanation:

x = 2+ 1/2 * 2

x = 3

Answer:

x= 3 and y = 2 is the answer..

Answer:

The y-intercept of the first inequality is -1.

The y-intercept of the second inequality is +1.

The fourth graph has these correct.

Answer:

If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.

As a non-art club member, you have a 79% chance of being assigned to the art class they request.

As an art club member, you have a 61% chance of being assigned to the art class they request.

Step-by-step explanation:

265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.

Total not in art club 335/ Total students 500= 0.791= 0.79%

Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%

Non art club requested 79% against art club requested 61%.

Answer:

Step-by-step explanation:

hello

a)

0+5=5, 1+5=6, 2+5=7, 3+5=8, 4+5=9, ...., 10+5=15

b)

2*0-1=-1, 2*1-1=1, 2*2-1=3, 2*3-1=5, 2*4-1=7, .... 2*10-1=19

hope this helps

Answer:

4

Step-by-step explanation:

(3^8 x 2^-5 x 9^0)^-2 x (2^-2/3^3)^4 x 3^28 =

= 3^-16 x 2^10 x 1 x 2^-8 x 3^-12 x 3^28

= 3^0 x 2^2

= 4

Answer: The correct answer is c

Step-by-step explanation: you would have to plot your graph and the put the answer in slop intercept for y=mx+b or y=-3x-6

Answer:

exponential; y = –6 • 1.5x

Step-by-step explanation:

1.5 x 1 = 1.5

1.5x-6= -9

Answer:

(-2,3)

Step-by-step explanation:

When you reflect a point over the x axis, the y value is changed to the opposite value (positive)

So (2,-3) reflected across the x axis is (2,3)

Next, we need to reflect this across the y axis

When you reflect a point over the y axis, the x value is changed to the opposite value (negative)

(2,3) reflected across the y axis is (-2,3)

Answer:

Step-by-step explanation:

B