PLs! 100 points the integers 1,2,3,4,5,6,7,8 are placed in a list so that each value is either bigger than all the numbers it precedes or smaller than all the numbers it precedes. How many such lists are possible? 100 points!

Answer:

78 x 160 /100

= 124.8

12 x 325/100

= 39

Step-by-step explanation:

Answer:

[tex]y=8x, \\y=12x[/tex]

Step-by-step explanation:

Proportional functions can be written as [tex]y=kx[/tex], where [tex]k[/tex] is some constant of proportional. Since directly proportional functions always pass through the origin, the y-intercept must be 0 (no additional number before or after [tex]x[/tex] term). The only answers that fit this format are:

[tex]\rightarrow \boxed{y=8x}\\\rightarrow \boxed{y=12x}[/tex]

Answer: Y=8x

Step-by-step explanation:

Answer:

y = -½x + 4

Step-by-step explanation:

the line passes point of y-intercept (0, 4) ,

and another point (6, 1)

the slope = (1-4)/(6-0) = (-3)/6 = -½

so the Equation is y = -½x + 4

Answer:

The system of equations is:

x + y = 250                         (1)

7.25x + 5.50y = 1602.50   (2)

with x = Adult tickets

       y= student tickets

Solution

Let's equation (1)

x+y=250

x=250-y (a)

subtitute x in aquation (2)

7.25(250 - y) + 5.50y=1602.50

1812.50 - 7.25y + 5.50y= 1602.50

1812.50 -1.75y = 1602.50

-1.75y = 1602.50 - 1812.50

-1.75y = -210 ↔multiply both sides by (-1) to remove the minus sign

y= 210/1.75

y= 120

Substitute y in equation (1)

x + 120 = 250

x= 250 - 120

x =130

Let's check our results in equation (1)

x + y =250

120 + 130= 250 ↔ 250 = 250

At the end of the evening they 120 students tickets and 130 adults tickets

Step-by-step explanation:

You can check the results in any of the equations

Answer:

x = 0

Step-by-step explanation:

3(x + 6) = 18

distribute

3x + 18 = 18

Subtract 18 from both sides

3x = 0

Divide both sides by 3

x = 0

Answer:

315881.53

Step-by-step explanation:

We first need to figure out how long it takes for the money to triple

let x= number of years it takes for the money to tirple

[tex]3=(1+\frac{.04}{365})^{365x}\\log_{1.0001}3=365x\\10025.38644=365x\\27.46681216=x[/tex]

Now plug that value into the continously compounding formula

[tex]80000*e^{27.4668*.05}=315881.5314[/tex]

Which rounds to

315881.53

Answer:

45°

Step-by-step explanation:

The angles should add to 180°. so we can say 2x+45+x=180

3x+45=180

3x=135

X=45°

Answer:

x = 45°

Step-by-step explanation:

The sum of both angles should add up to 180°, because they are supplementary. Supplementary angles is just another way of saying two angles on a straight line. In order to find the value of x:

Given |

[tex]2x + 45 + x = 180[/tex]

2x + x

Combine like-terms. |

[tex]3x + 45 = 180[/tex]

180 - 45

Subtraction Property of Equality. |

[tex]3x = 135[/tex]

135 / 3

Division Property of Equality. |

[tex]x = 45[/tex]

Answer:

56 units

Step-by-step explanation:

Let us start by the formula of the area of a triangle, [tex]\frac{b*h}{2}=A[/tex]. A represents the area of the triangle, b represents the base of the triangle, and h represents the height of the triangle.

In this case, we can pretty clearly tell that h represents the height of the triangle and x represents the base of the triangle. We are also given that x=14 units and h = 8 units. Lets plug our values into the equation!

[tex]A=\frac{h*x}{2} \\A=\frac{14*8}{2} \\A=\frac{112}{2} \\A=56[/tex]

Therefore, the area of the triangle is 56 units.

I hope this helps! Please let me know if you have any questions :)

Answer:

x = 37 y = 27

Step-by-step explanation:

x = y + 10

x + y = 64

y + 10 + y = 64

y = 27

64 - 27 = 37

Answer:

What coatside dad said

Step-by-step explanation:

Answer:

[tex]x + 3y = 6 - - - (a) \\ 2x + 8y = - 12 - - - (b) \\ 2 \times (a) - (b) : \\ 0x - 2y = 24 \\ y = 12 \\ x + (3 \times - 12) = 6 \\ x = 42 \\ { \boxed{x = 42}} \\ { \boxed{y = 12}}[/tex]

Given:

Principal = Rs. 1200

Rate of interest = 25%

To find:

The time in which the interest will became equal to the principal.

Solution:

We have,

[tex]P=1200[/tex]

[tex]r=\dfrac{25}{100}[/tex]

[tex]r=0.25[/tex]

If interest is equal to the principal, then

[tex]Amount=Principal+Interest[/tex]

[tex]Amount=1200+1200[/tex]

[tex]Amount=2400[/tex]

The formula for amount is:

[tex]A=P\left(1+r)^n[/tex]

Substituting [tex]A=2400, P=1200, r=0.25[/tex] in the above formula, we get

[tex]2400=1200(1+0.25)^n[/tex]

[tex]\dfrac{2400}{1200}=(1.25)^n[/tex]

[tex]2=(1.25)^n[/tex]

Taking log on both sides, we get

[tex]\log2=\log(1.25)^n[/tex]

[tex]\log2=n\log(1.25)[/tex]               [tex][\because \log a^b=b\log a][/tex]

[tex]\dfrac{\log2}{\log(1.25)}=n[/tex]

[tex]n\approx 3.11[/tex]

Therefore, the interest will became equal to the principal in about 3.11 years.

Answer:

C

Step-by-step explanation:

y=x(1/2)^x

Answer:

It will be above the ground in C

Step-by-step explanation:

Answer:

here u go

Step-by-step explanation:

what i did was 15*7 which is 105

and then i did 105/2 which is 52.5 ft

Answer:

V = 1237 cubic feet

Step-by-step explanation:

V of cylinder = πr^2h

r = 7.5 ft (15/2)

h = 7 ft

v = ((7.5)^2)π*7 = 1237.002107 cubic feet

Answer:

Elimination (multiplication and subtraction)

There is 1 solution

Step-by-step explanation:

The only way to solve this system of equations is by elimination (multiplication). Let's say that we want to cancel out the x. You multiply the first equation by 5 and you multiply the second equation by 2.

Your equations now are:

10x-5y=55 and 10x+6y=-22

You can subtract these equations to get -11y = 77.

Now that we know that y = -7, we can substitute y in to solve x.

10x-5(-7) = 55

10x=20

x=2

Final answer (2,-7)

Answer:

x = {-5, 2}

Step-by-step explanation:

unfamiliar with the notation 7;2

will solve for |2x + 3| = 7

Solution I -  the quanity inside the absolute value is 7

2x + 3 = 7

2x = 4

x = 2

Solution II -  the quanity inside the absolute value is –7

2x + 3 = –7

2x = -10

x = -5

-----------------

x = {-5, 2}

Answer:

2. (x+2)²+(y+3)²=49

Step-by-step explanation:

it is possible to re-write the given equation:

x²+4x+4+y²+6y+9-49=0;

(x+2)²+(y+3)²-49=0;

(x+2)²+(y+3)²=7².

Answer:

3^12

Step-by-step explanation:

(3^2)^6

6 * 2 = 12

3^12

Calculator check: (3^2)^6 = 531441

3^12 = 531441

Answer:

3^12

Step-by-step explanation:

We know that a^ b^c = a^(b*c)

3^2^6 = 3^(2*6) = 3^12

Answer:

50km/h

Step-by-step explanation:

Given data

A-B

Time taken= 3 hours

Distance= 150km

B-A

Time taken= 5 hours

We know that

Speed= distance/time

Speed= 150/3

Speed= 50km/h

Hence the speed of the car is 50km/h

Answer:

The given theorem proves that the door is not a rectangle right now since, the door came out of shape, it can be proved by the Pythagorean theorem. If the length is set to a certain shape, and the width is set to a certain shape, and drawn to diagonals. If solved by the Pythagorean Theorem, if the length of two diagonals are similar then and only then the door would be a rectangle.

Hope this helps!

Answer:

5x+17

Step-by-step explanation:

5 times a number, X, can be represented as 5x. If we want to add 5x and 17, we can say 5x+17.

Me too. It's the third option. :)

Answer:

I think its the third bubble. Hopefullly this helps. im pretty sure its correct.

Step-by-step explanation:

1st. add rt to both sides so that it cancels out. That should give you xy= s+rt.

2nd. Then divide x from both sides to single out the y. since x is multiplying with y you must use the inverse operation and divide by X. This should leave you with y= (s+rt)÷x

Answer:

hsjnzxiiandmdoqgsshzbx

Answer:

cos θ = -0.948

Step-by-step explanation:

First find θ of sin θ by taking the inverse:

θ = arcsin(0.312).

Then consider the interval of π/2 < θ < π, and set sin θ equal to arcsin(0.312).

arcsin(0.312) = 0.317297388112..

[ Hold on I am finishing up work ]

Answer:

Step-by-step explanation:

The given curve crosses the x-axis in two places, (-2, 0) and (0, 0), which are the zeros.  This parabolic curve opens up and has its vertex (minimum) at (-1, -1).

Answer: The graph has two zeros.

Step-by-step explanation:

The given graph is the graph of parabola open upward. In the graph of parabola, we will have two solutions since the highest degree of the function is 2.

y = ax^2 + bx + c, where a, b, c are real number and a ≠ 0.

You can see the height degree of the function is 2.

Therefore, there should be two zeros of the function.

According to the given graph of parabola has two zeros at x = -2 and x = 0.

The graph cross the x-axis at x = -2 and x = 0.

Hence, the graph has two zeros.

Answer is A. The graph has two zeros

Answer:it has to be A

Step-by-step explanation:

Answer:

approximately 1,925,000

Step-by-step explanation:

700,000 * 0.07 = 49,000    this would be the growing rate per year.

49,000 * 1,225,000    this would be the population grown in 25 years.

700,000 + 1,225,000 = 1,925000    this would be the total population that was in the city and the population that has grown in the 25 years.

Hope this helps

Answer:

1. 31.2

2. 5.28

3. 0.565

Step-by-step explanation:

Remember if the number is 1-4 round down and if the number is 5-9 round up.

Hope this is helpful

#happylearning

Answer:

29.4 cm^2

Step-by-step explanation:

We can use a proportion to find the height:

120 : 100 = x : 7

x = (120 *7)/100 = 8.4 cm

Area = (base * height)/2 = (7 * 8.4)/2 = 29.4 cm^2

Answer:

29.4cm²

Step-by-step explanation:

First we are going to find 120% of 7.

7 × [tex]\frac{120}{100}[/tex] = 8.4 cm

Therefore, 8.4 cm is the height.

Area =  [tex]\frac{1}{2}[/tex] Base × Height

= [tex]\frac{1}{2}[/tex] × 7 × 8.4 = 29.4cm²

Answer:

7.7

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab * cosC

c² =  16² + 10² - 2(16)(10)cos22

c² =  256 + 100 - 320 * 0.927183854566787

c² = 59.3011665386

c ≈ 7.7

Answer:

You can use the Law of Cosines to solve for c:

c2 = a2 + b2 − 2ab cos C = 162 + 102 − 2(10)(16) cos 22°.

Step-by-step explanation:

plato!!