how many different ways can 18 different questions on a true of false test be answered if a student answers every question

Answer:

15 units

Step-by-step explanation:

you have to use pythagoras to solve (c²=a²+b²)

AB is the longest side of the triangle which is c in the pythagoras

so counting the units for AC, you get 9 units, and CB you get 12 units

now solve for c in pythagoras

c²=9²+12²

c = 15 units

Answer: x= -20/3 and y= 34/3

hope this helps :)

Step-by-step explanation:

Answer:

1st row = 10 = y

2nd row = 12 = y

3rd row = 18 = y

4th row = 22 = y

Step-by-step explanation:

Given:

y = 4x + 6

since the y-intercept is 6, we know that when the input value(x) is equal to 0, the output value(y) is equal to 6.

so now we plug in the equation for each row,

starting with the first one.

in the first row it says x is equal to 1 so the equation would look like this:

y = 4(1) + 6

simplified the equation to get

y = 4 + 6  = 10

meaning for the first row, y = 10!

since the x value is constant, and only goes up by 1 each row, this means we can just add 4 more each time.

However, I am going to write the equation for each row anyways.

Second row:

y = 4(2) + 6

simplifys into

y = 8 + 6   =  12

y = 12

Third row:

y = 4(3) + 6

simplifys into

y = 12 + 6 = 18

y = 18

Fourth row:

y = 4(4) + 6

simplifys into

y = 16 + 6 = 22

y = 22

So to recap, the answers to each row are...

1st row = 10 = y

2nd row = 12 = y

3rd row = 18 = y

4th row = 22 = y

I hoped this helped and have a good day :D!!!

Answer:

[tex]a + b = a + b[/tex]

Step-by-step explanation:

plugging in a and b for anything will work, thus resulting in infinite amount of solutions

The inequality that represents all the possible combinations he can buy is $12x + $10y ≤ $60.

What do inequality signs mean?

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

The inequality sign to use is ≤ less than or equal to. This is because he does not want to spend more than $60.

$12x + $10y ≤ $60.

To learn more about inequality, please check: https://brainly.com/question/5031619

Answer:

See below!

Explanation:

equation for distance:

Lets Ben hours be x and Landon hours be y,

60x + 56y = 820 .........equation 1

equation for time:

[tex]\frac{60x}{60}+ \frac{56x}{56} =14[/tex]

x + y = 14 .........equation 2

Make x the subject:

60x + 56y = 820

x = (820 - 56y)/60 ..........equation 3

x + y = 14

x = 14 - y ........equation 4

Solve equation 3 and 4 simultaneously:

             [ Therefore Landon drove 5 hours ]

Extra's further investigated:

if y = 5

              [ Therefore Ben drove 9 hours ]

Answer:

Landon drove 5 hours (and Ben drove 9 hours)

Step-by-step explanation:

Let B = number of miles Ben drove

Let L = number of miles Landon drove

Given The trip took them 14 hours

⇒ B + L = 14

Given, Ben averaged 60 miles per hour and Landon averaged 56 miles per hour. Ben and Landon took turns driving on a 820 mile road trip:

⇒ 60B + 56L = 820

Rewrite B + L = 14 to make B the subject, substitute into 60B + 56L = 820, and solve for L:

⇒ B = 14 - L

⇒ 60(14 - L) + 56L = 820

⇒ 840 - 60L + 56L = 820

⇒ 20 = 4L

⇒ L = 5

Therefore, Landon drove for 5 hours

Answer:

Two points, (0,4) & (8,5)

Step-by-step explanation:

In this equation, we can easily find the first point by looking at the +4 in this equation. This should automatically signal to you that the point is (0,4)

Now, we have to look at the 1/8x in the equation.

This 1/8 means that the slope is 1/8!

Now we use the slope and to rise/run to find our next point

We go up 1 from 4 (this is the rise) to get to 5 on the y-axis

Next, we go over 8 horizontally to get to 8 for your x-axis point.

So therefore, our next point is, (8,5)

You can use this rise/run system infinitely and is very useful

Answer:

21 can not the 3rd side

Step-by-step explanation:

because the sum of 2 sides of triangle are always greater -it is a fact or theorem

Answer:

Step-by-step explanation:

r = 10

h = 6

[tex]Volume =\dfrac{1}{3}\pi r^{2}h\\\\\\ =\dfrac{1}{3}*3.14*10*10*6\\\\=3.14 * 10 * 10 * 2\\\\= 628 \ cubic units[/tex]

Step-by-step explanation:

I'll do it on my laptop.......

Answer:

y = - 6x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 10) and (x₂, y₂ ) = (- 1, - 2) ← 2 points on the line

m = [tex]\frac{-2-10}{-1-(-3)}[/tex] = [tex]\frac{-12}{-1+3}[/tex] = [tex]\frac{-12}{2}[/tex] = - 6

the line crosses the y- axis at (0, - 8 ) ⇒ c = - 8

y = - 6x - 8 ← equation of line

Answer:

F=40h+25

a) 40 per hour

b) 25

c) hours

d) how much it costs

Answer:

[tex]x = 22.5[/tex]

Explanation:

Given Sides:

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

using all these sides, create similarities equation:

[tex]\frac{HB}{HD} = \frac{HM}{HT}[/tex]

[tex]\frac{6}{21} = \frac{9}{9+x}[/tex]

[tex]6(9+x) = 9(21)[/tex]

[tex]54 + 6x = 189[/tex]

[tex]6x = 189 - 54[/tex]

[tex]6x = 135[/tex]

[tex]x = \frac{135}{6}[/tex]

[tex]x = 22.5[/tex]

Answer:

Marcus can do more jumping jacks per minute.

Step-by-step explanation:

By 3 more jumping jacks.

Answer:

ryan can do the most

Step-by-step explanation:

by 3

Answer:

[tex]f(x)=2x-6[/tex]

[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]

Step-by-step explanation:

Using slope-intercept form of linear function:  [tex]y = mx + b[/tex]

[tex]\implies f(x)=mx+b[/tex]

[tex]\textsf{if} \ \ f(1) = -4[/tex]

[tex]\implies m + b=-4[/tex]

[tex]\implies b = -4-m[/tex]

Find inverse of slope-intercept form:

swap x and y:  [tex]x = my + b[/tex]

Make y the subject:

[tex]\implies x - b = my[/tex]

[tex]\implies y = \dfrac{x-b}{m}[/tex]

[tex]\implies f^{-1}(x) = \dfrac{x-b}{m}[/tex]

[tex]\textsf{if} \ \ f^{-1}(0) = 3[/tex]

[tex]\implies \dfrac{0-b}{m}=3[/tex]

[tex]\implies b=-3m[/tex]

[tex]\textsf{equation 1:} \ \ b = -4-m[/tex]

[tex]\textsf{equation 2:} \ \ b=-3m[/tex]

Equate the equations and solve for [tex]m[/tex]:

[tex]\implies b=b[/tex]

[tex]\implies -4-m=-3m[/tex]

[tex]\implies -4=-2m[/tex]

[tex]\implies m=2[/tex]

Substitute found value for [tex]m[/tex] into one of the equations and solve for [tex]b[/tex]:

[tex]b = -4-2=-6[/tex]

Substitute found values of [tex]m[/tex] and [tex]b[/tex] into equations for [tex]f(x)[/tex] and [tex]f^{-1}(x)[/tex]:

[tex]f(x)=2x-6[/tex]

[tex]f^{-1}(x)=\dfrac{x+6}{2}[/tex]

Answer:

1. Paul has mixed up the translation of the ordered pair.

New location: (1, 5)

2. Option C :  E = (3, 2)  F = (8, 4)  G = (5, 7)

Step-by-step explanation:

An ordered pair is a pair of numbers, (x,y) , written in a particular order.

It is often used to represent a point on a coordinate plane.

1.  From inspection of the diagram, the market is located at (3, 8)

Paul's mistake is that he has mixed up the translation of the ordered pair.  He has moved the market 3 to the left and 2 units down instead of the required 2 to the left and 3 units down.

The correct ordered pair for the new location of the market is (1, 5)

2. For each coordinate point (x, y), the first number is the x-coordinate (along the x-axis) and the second number is the y-coordinate (along the y-axis).  

E = (3, 2)

F = (8, 4)

G = (5, 7)

Answer:

70 s

Step-by-step explanation:

24 L = 20s

84 L = 20×84/ 24

= 70 s

Answer:

B

Step-by-step explanation:

put both sides under square root.

x^2 + y^2 = 64

sqrt ( x^2 + y^2 ) = sqrt(64)

x + y = 8

r = 8.

[tex]\underline{r^2=x^2+y^2} \\\\\\ x^2+y^2=64\implies r^2=64\implies r=\sqrt{64}\implies r=8[/tex]

Answer:

$35.436

Step-by-step explanation:

Hope this helps! :)

Answer:

$35.436

Step-by-step explanation:

Hope you like bro !!!!!!!!!!!

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Answer:

The answer is 6/7

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Domain : 0 ≤ x ≤ 8

Range : 0 ≤ y  ≤ 56

Answer:

total area = 132 units²

Step-by-step explanation:

Area of largest rectangle = 4 x 15 = 60 units²

Area of smallest rectangle = 4 x 6 = 24 units²

Area of largest triangle = 1/2 x (15 - 6) x (4 + 4) = 36 units²

Area of smallest triangle = 1/2 x 6 x 4 = 12 units²

Total area of the figure = sum of areas of 2 rectangles and 2 triangles

⇒ area = 60 + 24 + 36 + 12 = 132 units²

Answer:

1) c

2) b

Step-by-step explanation:

1) translated 6 units to the left will be negative = x-6

5 units up will be positive = y+5

2) when reflecting across the x-axis, the x-values of each original point will remain the same and the y-values will become opposite. For example one point is (-5, 3) which will be (-5, -3) as the opposite of 3 is -3 which is in the form (x,-y)

Based on the amount Peyton invested, and the interest rate, the amount in the account 15 years later would be $2,848.09.

The amount in the account after 15 years would be:

= Amount x ( 1 + rate) ^ number of years

Solving gives:

= 1,700 x ( 1 + 3.5%)¹⁵

= $2,848.09

Find out more on future value at https://brainly.com/question/24978019.

Answer:

2848.1

Step-by-step explanation:

Step-by-step explanation:

let's name the 2 sides of the bisected angle a and b.

and the 2 segments (created by the bisector) of the opposite side x and y.

then we have

a/b = x/y

question 1

14/21 = x/15

1/3 = x/15

15/3 = x = 5

question 2

8/y = 4/6

8×6 = 4y

48 = 4y

y = 12

question 3

3/4.5 = z/1.5

3×1.5 = 4.5z

4.5 = 4.5z

z = 1

question 4

16.5/p = 11/(29-11) = 11/18

16.5×18 = 11p

297 = 11p

p = 27

question 5

7/13 = (15-x)/x

7x = 13×(15-x) = 195 - 13x

20x = 195

x = 195/20 = 39/4 = 9.75