Simplify the expression.
4(-8x + 5) - (-33x - 26) =

Answer:

{y: y = –7, –2, 3, 8}

Step-by-step explanation:

Answer:

P = 0.0655

Step-by-step explanation:

First, we are going to calculate the number of ways in which we can select the 10 balls. This is calculated using the rule of multiplication as:

[tex]T=20*20*20*20*20*20*20*20*20*20\\T=20^{10}\\T=1.024*10^{13}[/tex]

Because we have 20 different balls every time and the experiment is repeated 10 times.

Then, from that [tex]1.024*10^{13}[/tex] ways, there are C ways where all the numbers recorded are distinct. It is calculated as:

[tex]C = 20*19*18*17*16*15*14*13*12*11\\C = 6.704*10^{11}[/tex]

Because, the first time, we have 20 options, the second time, we can just select 19 balls because we can not repeat the numbers, the third time, we can just select 18 balls and we need to keep doing this until get to the 10th time.

Finally, the probability that all the numbers recorded were distinct is calculated as C/T and it is equal to:

[tex]P=\frac{C}{T}=\frac{6.704*10^{11}}{1.024*10^{13}} =0.0655[/tex]

Answer:

[tex]-3x^2+6xy+4[/tex]

Step-by-step explanation:

[tex](3x^2+2xy+7)-(6x^2-4xy+3)=\\\\3x^2-6x^2+2xy+4xy+7-3=\\\\-3x^2+6xy+4[/tex]

Hope this helps!

Answer:

3x2-6xy

Step-by-step explanation:

I think i dont know

Answer:

Depends on the x value

Step-by-step explanation:

f(x) can only be a function if the x values are not repeating.

Answer:

(3)13.2

Step-by-step explanation:

c²=a²+b²

20²=15²+b²

20²-15²=b²

400-225=b²

175=b²

b=√175

b=13.2inches

Answer:

the newer moat is 169 cm longer than the older one

Step-by-step explanation:

in order to find the difference in length of the two castles, we will first find the perimeters of the two castles then calculate the difference in the perimeters:

old castle:

dimension = 484cm by 386cm

perimeter = 484 + 386 = 870 cm

new castle:

dimension = 725cm by 314cm

perimeter = 725 + 314 = 1039 cm

difference =  1039 - 870 = 169 cm

The total length of the moats used is equals to the perimeter of the sand castles, therefore, the newer moat is 169 cm longer than the older one.

Answer:

Look I know I'm about 2 1/2 years late but the answer is not 169 or whatever the person above me said, it's 660 I answered this before.

Answer:

a=13, b=7

Step-by-step explanation:

You can use the exponent rule

[tex]3x^{a-5}y^{9-b}=3x^{8}y^{2}[/tex]

so [tex]x^{a-5}=x^{8}[/tex] so

a-5=8

a=13

[tex]y^{9-b} =y^{2}[/tex] so

9-b=2

b=7

Answer:

3/10

Step-by-step explanation:

There are 2 red, 2 blue, 1 orange, 2 purple and 3 green stones. = 10

P( green) = number of green / total

               = 3/10

Answer:

3x - 5

Step-by-step explanation:

divide both numbers by -2

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

[tex]win + draws = 28[/tex]

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

[tex]3*win + draws = 70\\[/tex]

We now have a system of equations, which we can solve.

[tex]win + draws = 28\\3*win + draws = 70\\[/tex]

Multiplying the first equation by -1:

[tex]-win- draws = -28\\3*win + draws = 70[/tex]

Adding both equations:

[tex]2*win = 42\\win = 21[/tex]

Since the team won 21 games and lost 6, the difference is 15.

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

Explanation:

Think of x^4y as x^4y^1. When we raise this to the third power, we multiply the outer exponent 3 by each inner exponent

x^4 turns into x^12

y^1 turns into y^3

-----------

This is one way to show your work

(x^4y)^3

(x^4y^1)^3

x^(4*3)*y^(1*3) ... multiplying outer exponent by each inner exponent

x^12y^3

-----------

A more lengthy way to get the answer is to write x^4y out three times multiplying by itself that many times. The outer exponent 3 tells us we will have three copies of x^4y multiplied with itself.

(x^4y)^3 = (x^4y)*(x^4y)*(x^4y)

(x^4y)^3 = (x^4*x^4*x^4)*(y*y*y)

(x^4y)^3 = ( x^(4+4+4) ) * ( y^(1+1+1) )

(x^4y)^3 = x^12y^3

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Step-by-step explanation:

To find the r (rate) of each series, we can divide one term by the term before:

Series A: 4 / 10 = 2/5

Series B: (3/5) / (1/5) = 3

So the series A has an r value between 0 and 1, so we can find the sum of the series.

The sum is given by the formula:

Sum = a1 / (1 - r)

Where a1 is the first term. So we have that:

Sum = 10 / (1 - (2/5))

Sum = 10 / (3/5)

Sum = 10 * (5/3) = 50/3

Answer:

Series "A" has an r value of "2/5" where 0 < |r| < 1 . So, we can find the sum of the series. The sum of the series is "50/3".

Answer:

22

Step-by-step explanation:

7^2 - 3^3

Exponents first

49 -27

Then subtract

22

Answer: 22

Step-by-step explanation:

Exponents mean how many times you multiply the number. So basically you would 7 times 7 minus 3 times 3 times 3. 7 times 7 is 49. 3 times 3 is 9. 9 times 3 is 27. 49 minus 27 is 22.

Answer:

The value of [tex]x[/tex]:

[tex]x = -2[/tex]

Step-by-step explanation:

Find the value of [tex]x[/tex]:

[tex]-9x + 1 = -x + 17[/tex]

-Add both sides by [tex]x[/tex]:

[tex]-9x + 1 + x = -x + x + 17[/tex]

[tex]-8x + 1 = 17[/tex]

-Subtract both sides by [tex]1[/tex]:

[tex]-8x + 1 - 1 = 17 - 1[/tex]

[tex]-8x = 16[/tex]

Divide both sides by [tex]-8[/tex]:

[tex]\frac{-8x}{-8} = \frac{16}{-8}[/tex]

[tex]x = -2[/tex]

So, the final answer would be [tex]x = -2[/tex] .

Answer:

x=−2

Step-by-step explanation:

−9x+1=−x+17

Add x to both sides.

−9x+1+x=−x+17+x

−8x+1=17

Subtract 1 from both sides.

−8x+1−1=17−1

−8x=16

Divide both sides by -8.

−8x/-8 = 16/-8

Answer:

x=−2

Answer:

108m^2

Step-by-step explanation:

surface area of any shape: sum of the area of its sides.

area of cross section x 2 = 4 x 3 12 m^2

area of slope:  5m x 8m = 40m^2

area of base: 8 X 3 = 24 m^2

area of back: 8m x 4m = 32m^2

sum = surface area = 108m^2

Please mark brainiest

Answer:

y= 2x+1

Step-by-step explanation:

Line parallel to y = 2x + 4

And that goes through the point (2,5)

-----------

Parallel lines have equal slope, so it will be in the form of y= 2x+b

Let's find the value of y-intercept (b) by using the given point:

So the line is: y= 2x+1

Answer:

Rate = 3/5 bucket / 1/2 hour

= 6/5 or 1 1/5 buckets per hour

Answer:

The answer is (rounded) 4.47213

Step-by-step explanation:

Have a nice day!

Answer:

The correct choice is 4.47213

Step-by-step explanation:

Answer:

Step-by-step explanation:

In order to know the two factors we are to multiply together to get the trinomial function 5x² + 8x – 4, we need to factorize the quadratic function given. On factorizing;

[tex]= 5x^{2} +8x-4\\= (5x^{2} +10x)-(2x-4)\\\\factoring\ out\ the\ common\ term\\= 5x(x+2)-2(x+2)\\= (5x-2)(x+2)\\[/tex]

The factors that can be multiplied together are (5x – 2) and  (x + 2)

Answer:

The Answer On Edge Is C.) and E.), Have Fun Dreamers!

Step-by-step explanation:

Answer:

The initial speed is approximately 104.3 km

Step-by-step explanation:

Let Distance = 240 km

Time = ?

Speed =

Since

Speed = Distance/Time

Distance = Speed × Time

When arrival is late:

240 = S×T

When arrival is on time:

240 = (S+5)×T2

But 40minutes = 2/3 hours

So,

T2 = T - 2/3

240 = (S+5)×(T - 2/3)

240 = ST - 2S/3 + 5T - 10/3

ST - 2S/3 + 5T = 240 + 10/3

S(T - 2/3) + 5T = 730/3

S(T - 2/3) = 730/3 - 5T

S = (730/3 - 5T)/(T - 2/3)

But 240 = ST

S = 240/T

240/T = (730/3 - 5T)/(T - 2/3)

(T - 2/3)/T = (730/3 - 5T)/240

1 - 2/3T = 730/720 - 5T/240

1 + 73/72 = (2/3 + 5/24)T

145/72 = (7/8)T

T = 145/72 × 8/7

= 1160/504

T = 145/63

S = 240/S

= 240×63/145

= 3024/29

≈ 104.3km

Step-by-step explanation:

y + 2. = -2(x - 5)

y + 2 = -2x + 10.

y = -2x + 8

Answer:

I hope ive done this correctly

Fixed, i see where i went wrong, i done it backwards

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Substitute x for 2

-3(2)^2 + 6(2)

Order of operations says that exponents are next, so square the 2

-3(4) + 6(2)

multiply

-12 + 12

add

0

Answer:

The correct answer is 0

Hope it helps

Step-by-step explanation:

F(x) is given

So to find f2 we substitute all the variables (x) with the number 2 so it becomes..

f(2)=

-3(2)^2 + 6(2)

= -3(4)+ 6(2)

= -12+12

= 0

Answer:

2*2*11

Step-by-step explanation:

44 = 4*11

But 4 isn't prime

  = 2*2*11

All of these are  prime

Answer:

= 0.38 m/s

Step-by-step explanation:

▪Total distance = 800 m

5 min = 100 m

▪Remaining distance = 800 - 100 = 700 m

20 min = 700 m

▪Total time taken = 20 + 10 + 5 = 35 min

If 1 min = 60 sec

What about 35 min = ?

= 35 x 60

= 2100 sec

▪Average speed = TD ÷ TT

= 800 ÷ 2100

= 0.38 m/s

The answer is 1 and 3

Answer:

0

Step-by-step explanation:

Here, given the function f(x), we want to calculate f(1)

Mathematically, this means we shall substitute 1 for the value of x in that function.

Thus, given F(x) = 1-x

Then F(1) would be = 1-1 = 0

Answer:

point c

Step-by-step explanation:hope it helps

Which point represents 2 1/4 on the graph?

B: Point C

Answer: 5.5 yd

Step-by-step explanation:

To find the side length of the cube, the volume is a clue. We know that all sides of a square are equal, and the volume of a cube is length×width×height. Since the length, width and height are all the same, we know it is V=x³. Since we know the volume, we can plug in and solve for x.

166=x³

In order to get x alone, we have to cube root both sides.

x≈5.5 yd

Answer:

153°

Step-by-step explanation:

Supplementary = 180 degrees

180 - 27 = 153 degrees

Answer:

153 degrees

Step-by-step explanation:

When two angles are supplementary, their angle measures must add up to 180 degrees. Therefore:

M+N=180

M+27=180

M=180-27=153

Hope this helps!