simplify(2a+1/3)²-(2a-1/3)²​

Answer:

0.75

Step-by-step explanation:

Out of the 8 tiles, 6 of them are not a blue A so the chance of not drawing a blue A is 6/8 = 0.75.

Answer: 3/4

Step-by-step explanation:

There are 8 choices, 2 of which are blue A's.  Thus, 6 out of the eight options are NOT blue A's.  Therefore, you have a 6/8, or 3/4 chance of not drawing a blue A.

Hope it helps <3

Answer:

-5r + 5

Step-by-step explanation:

We simply simplify by adding like terms. Only thing we can combine are the constants -5 and 10, which we get 5. So then our answer is -5r + 5.

Answer:

5(1-r)

Simplified expression 5-5r

Step-by-step explanation:

Answer:

A.

[tex]Point\ C = (2,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (2,-6)[/tex]

[tex]B = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

Required

Determine the coordinates of C

Since, point D divides line AB in ratio, 5 : 3;

We start by calculating the coordinates of D;

This is done as follows;

[tex]D(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2 + ny_1}{m+n})[/tex]

Where

[tex](x_1,y_1) = (2,6)[/tex]

[tex](x_2,y_2) = (10,2)[/tex]

[tex]m:n = 5:3[/tex]

[tex]D(x,y) = (\frac{5 * 10 + 3 * 2}{5+3},\frac{5 * 2 + 3 * -6}{5+3})[/tex]

[tex]D(x,y) = (\frac{50 + 6}{8},\frac{10 - 18}{8})[/tex]

[tex]D(x,y) = (\frac{56}{8},\frac{-8}{8})[/tex]

[tex]D(x,y) = (7},-1)[/tex]

Since AC is vertical

Then, Point C has the same x coordinate as A

[tex]x-coordinate = 2[/tex]

Similarly;

Since CD is horizontal

Then, Point C has the same y coordinate as D

[tex]y-coordinate = -1[/tex]

Hence,

[tex]Point\ C = (2,-1)[/tex]

Answer:

Option A

Step-by-step explanation:

A. (2, -1)

Answer:

2 1/24

Step-by-step explanation:

you first need to convert them to the same least common denominator

the common denominator is 24

so 18/24 plus 15/24 plus 16/24

which is 49/24 which is 2 1/24

hope this helps

Answer:

√61

Step-by-step explanation:

d=√(x2 - x1)^2 + (y2 - y1)^2

√(-9-(-15))^2 + (8-3)^2

√61

The distance between points P(-15, 3) and Q(-9, 8) is √61 units.

Algebra is a study of mathematical expressions, in which numbers and quantities are represented in formulas and equations by letters and other universal symbols.

The given points are,

P(-15, 3) and Q(-9, 8).

The distance between two points A(x₁, y₁) and B(x₂, y₂)

Distance

= √(x₂ - x₁)² + (y₂ - y₁)²

To find the distance between points PQ,

Use formula

PQ = √(-9 - (-15))²+(8 - 3)²

= √(-9 + 15) ²+(5)²

= √(6) ²+(5)²

= √36 + 25

= √61

The required distance between given points is √61 units.

To know more about Algebra on:

https://brainly.com/question/24875240

#SPJ2

Answer:

yes, sas

Step-by-step explanation:

12:4 and 9:3 are the same ratio so the sides are proportional. Since they have a congruent angle too, the answer is yes by the SAS Similarity Postulate.

Answer:

B

Step-by-step explanation:

Since opposite angles in a parallelogram are congruent, ∠B = ∠D which means:

5y + 31 = 96

5y = 65

y = 13°

Additionally, opposite sides of a parallelogram are congruent, therefore AB = CD which means:

x² - 18 = 7x

x² - 7x - 18 = 0

(x - 9)(x + 2) = 0

x = 9° or -2°

Answer:

Step-by-step explanation:

SINCE IT IS A PARALLELOGRAM,

AB=CD

and B = D

therefore x= 9, y=13

hope it helps

Answer:

1.) Newton 3rd law

2.) Newton 1st law

3.) Newton 2nd law.

Step-by-step explanation:

1.)  I pull on the Earth because Earth pulls on me. This can be identified as Newton 3rd law of motion. The law state that, in every action, there must be equal and opposite reaction.

As the earth pulls on you, the reaction to that action which is equal and opposite is you pulling back on earth.

2.) The velocity of a falling object isn’t constant because Earth’s gravity exerts a force on it. This can be identified by Newton 1st law of motion which state that: an object will continue to be at rest or in a linear motion except an external force act on it.

The velocity of a falling object suppose to be constant if there is no external force. But it isn’t constant because Earth’s gravity exerts a force on it.

3.) If air resistance is ignored, the acceleration of a falling object is equal to the ratio of the force of gravity to mass. This can be identified by Newton 2nd law of motion which state that: The rate of change in momentum is proportional to the applied force. Or

F = ma

Where F = applied force

M = mass of the object

a = acceleration

If air resistance is ignored,

F = mg

where g = acceleration due to gravity.

Answer:

1. Newton 3rd law

2. Newton 1st law

3. Newton 2nd law.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

y=3

Step-by-step explanation:

Answer:

20% of 25 trees=25*20/100=5 trees.

Step-by-step explanation: i hope this helps

C

:)hope this helps :)

Answer:

k= 7/4

Step-by-step explanation:

2x²+px-15=0

One of roots is -5, then:

----

p(x²+x)+k=0

replacing value of p:

it has equal roots, then the discriminant is zero:

b² - 4ac=0

Answer:

c and d

Step-by-step explanation:

rise/run

for every 2 that c and d progress positive on the x-axis, it only rises 1 on the y-axis

Answer:

$3,033.56

Step-by-step explanation:

(see attached for reference)

The formula for compound interest is given by

A = P [ 1 + (r/n) ]^(nt)

Where,

A = final amount (we are asked to find this)

P = principal = given as $1500

r = annual interest rate = 9% = 0.09

n = 2 (for compounding semi-annually)

t = time, given as 8 years

Substituting the above into the equation:

A = P [ 1 + (r/n) ]^(nt)

A = 1500 [ 1 + (0.09/2) ]^[(2)(8)]

A = 1500 [ 1.045) ]^[16]

A = $3,033.56

Answer:3 ⋅ ( 4 ⋅ 5 ) = 23 a ⋅ b = a ( b a ) + b = a = 2

Step-by-step explanation:

The common fraction for the given expression is 60/47.

A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.

Given that an expression, 3*(4*5) such that, a*b= ab/a+b

Solving the expression as per the given formula,

4*5 = 4×5/(4+5) = 20/9

Now,

3*(4*5) can be written as, 3*20/9

Therefore,

3*20/9 = 3×20/9/(3+20/9)

= 20/3×9/47

= 60/47

Hence, the common fraction for the given expression is 60/47.

For more references on fractions, click;

https://brainly.com/question/10354322

#SPJ3

Answer:

Stop A and Stop B

Step-by-step explanation:

Data for a Trolley

Stops                                  Distance           Time

From Stop A to Stop B      150 meters       50 seconds

From Stop B to Stop C      200 meters      50 seconds

From Stop C to Stop D      360 meters      60 seconds

From Stop D to Stop E      280 meters      40 seconds

From definition: speed = distance/time

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]f(x)= 2^{-x}=\frac{1}{2^x}[/tex]

The graph of y = 2ln(x) is (b) on a coordinate plane, a curve starts in quadrant 4 and then curves up into quadrant 1 and approaches y = 5. It crosses the x-axis at (1, 0).

The equation of the graph is given as:

[tex]y = 2\ln(x)[/tex]

Start by plotting the graph of [tex]y = 2\ln(x)[/tex] .

From the graph (see attachment), we have the following highlights

From the list of given options, only option (b) describes the above highlights

Hence, the graph of y = 2ln(x) is (b)

Read more about graphs and functions at:

https://brainly.com/question/3939432

Answer: A

Step-by-step explanation:

Given that y varies inversely with x, that is,

Answer:

equation of line:

y = mx+c

1) find the gradient, m

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]m = \frac{ - 6 - 0}{ - 7 - ( - 1)} [/tex]

[tex]m = 1[/tex]

2) find y-intercept, c using coordinate (-1,0)

y = mx + c

0 = 1(-1)+ c

-1 + c = 0

c = 1

the equation of line: y = x + 1

Answer:

x≈14.28

Step-by-step explanation:

cos32° = 12/x

so : x= 12/cos32° = 12/0.84 = 14.28

Answer:

I think option a is correct answer because consecutive angles are supplementary.

Answer:

The correct answer is A

Step-by-step explanation:

Answer:

fred made 3 dollars

Step-by-step explanation:

47+3=50

Answer:

20 cookies

Step-by-step explanation:

Change from minutes and seconds to seconds

1 minute 30 seconds = 90 seconds

3 minutes 45 seconds = 3 *60 +45 = 180+45 = 225 seconds

Now we can use ratios to solve

8 cookies          x cookies

-------------   = -----------------

90 seconds         225 seconds

Using cross products

8 * 225 = 90x

Divide each side by 90

1800/90 = 90x/90

20 =x

Answer:

1.6%

Step-by-step explanation:

The cumulative distribution function (CDF) of a random variable X is denoted by F(x), and is defined as

F(x) = P(X ≤ x). where x is the largest possible value of X that is less than or equal to x

z = (x-μ)/σ,

where:

x is the raw score = 205

μ is the population mean, = 220 pounds

σ is the population standard deviation = 7 pounds

205 -220/7

z = -15/7

z = -2.1428571429

Using the normal cdf function on your graphing calculator,the cumulative distribution is

normalcdf( -2.1428571429, 100)

= 0.01606229

In percent form = 0.01606229 × 100

= 1.6%

Answer: No real solutions

Step-by-step explanation:

2(x-1) = 2x +5

Step 1: Distribute the 2 to the parenthesees

2x - 2 = 2x + 5

Step 2: Put the variables on one side and the constants on the other. (add/subtract)

0x = 7

Now, because 0 does not equal 7, there are no real solutions to this problem.

Answer:

x=(27)^2+y^2

 =√729+y^2( root of 729+y^2)

 = 27+√y^2

Answer:

solution,

[tex] {y}^{2} = 3 \times 27 \\ {y}^{2} = 81 \\ y = \sqrt{81} \\ y = \sqrt{ {9}^{2} } \\ y = 9 \\ \\ {y}^{2} + {27}^{2} = {x}^{2} \\ or \: {9}^{2} + {27}^{2} = {x}^{2} \\ or \: 81 + 729 = {x}^{2} \\ or \: 810 = {x}^{2} \\ or \: x = \sqrt{810} \\x = 9 \sqrt{10} [/tex]

hope this helps...

Good luck on your assignment..

Answer:

I mean you dont got no graph

Step-by-step explanation:

butttttt.....

The graph wit a straight line that intersects the y-axis at -4 and goes up by 2 and to tha right by 1.

Answer:

Theres no graph

Step-by-step explanation:

Answer:

#'s 1 and 4

Step-by-step explanation:

1.) 14-9=5 and 14+(-9)=5

2.) 18-6=12 and -18+6=-12

3.) -7-22=-29 and 22-(-7)=29

4.) 3-30=-27 and  3+(-30)=-27

5.) 10-5=5 and 5-10=-5

Parallel lines are being constructed based on the markings in the following diagram.

When two lines never meet each other even after extending them on the either side are called parallel lines.

1. First we have to draw a straight line and then any point of it draw any angle.

2. After that, on the second line take a point. Copy the first angle on it.

3. Draw the line to complete the copied angle and there you have parallel lines.

Hence, the construction indicated in the diagram is of parallel lines.

Learn more about parallel lines here: https://brainly.com/question/16992946

#SPJ3

Answer: P(AB) = 3/8

Step-by-step explanation:

You simply multiply P(AuB) by P(B)

3/7 * 7/8 = 3/8

Answer:

Answer should be A

Step-by-step explanation:

-7/2 divided by 49/4

Change in temperature per hour would be found by dividing the change in temperature by the amount of time.

Rewrite the numbers as improper fractions and the answer would be d.

-49/4 / 7/2