The coefficients of the first four terms in the expansion of (a + b)^5 are a) 1, 3, 5, 7 b) 1, 4, 6, 4 c) 1, 2, 3, 4, 5 d) 1, 5, 10, 10

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:

-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:

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: 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:

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:

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:

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:

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

MARK AS BRAINLIEST

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:

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 y-intercept of the first inequality is -1.

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

The fourth graph has these correct.

Answer:

Step-by-step explanation:

B

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:

you're right

Step-by-step explanation:

2 + 5x ≥ 52

5x ≥ 50

x ≥ 10

7 - x > -2

-x > -9

x < 9

Answer: Yes

The only difference between simplifying equations and inequalities is that if you ever divide both sides by a negative, flip the sign.

Hope it helps <3

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:

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:

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:

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:

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]

"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,

Answer:

Step-by-step explanation:

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:

5.06

Step-by-step explanation:

1 2/3 = 1/3

x = 1                                         (cross multiply)

1/3 x = 1 2/3                             (divide both sides by 1/3)

x = 5.06

Sorry the final answer is in decimal. I think better in decimal.

Answer:

Gabe can wrap 5 presents in an hour.

Step-by-step explanation:

So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.

Brainliest would be appreciated.

I hope that I was able to help you.

Answer:

B

Step-by-step explanation:

Multiply x/20 each side

Answer:

b

Step-by-step explanation:

20/x=2

*x        *x

20=2x

:2     :2

10=x

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)

Answer:

B

Step-by-step explanation:

it is exponential growth because the graph isn't linear and it the rate of change increases, so the only possible answer is b.

Given graph is representing the graph of exponential growth.

" Graph is defined as the representation of relation between variables on the coordinates plane along x-axis and y-axis."

According to the question,

As per the given graph,

A. Linear decreasing : It is not a graph of linear decreasing function as it is not representing a straight line which intersect y-axis at (0, k) and x-axis at (h,0).

B. Exponential growth: For exponential growth [tex]y = ab^{x}[/tex] a>0 , b>1.

This graph representing the condition for exponential growth.

C. Exponential decay :  For exponential decay [tex]y = ab^{x}[/tex] a >0 , 0 < b < 1.

Therefore , it is not a graph of exponential decay.

D. Linear increasing : It is not a graph of linear increasing function as it is representing a straight line which starts from (0,0) and increasing towards the first quadrant.

Hence, given graph is representing the graph of exponential growth.

Learn more about graph here

https://brainly.com/question/16608196

#SPJ3

Answer:

a) 0.1 [ 0.10 ] probability

Step-by-step explanation:

Workout for a) question

Propability of hving boiled eggs + Propability of hving poached eggs + Propability of hving fried eggs = 100

x + 25 + 65 = 100

x=10

Writing as decimal

x=0.10=0.1

b)

i) 10 percent of hving boiled eggs on first day 65 percent of hving fried eggs in second day

ii) 65 percent of hving fried eggs on both days

iii) 10 percent propability of hving atleat one boiled egg in 1 day

Hope this helps....

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula:

[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

line segment PQ  is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

[tex]x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1[/tex]