The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is y – 4 = (x – 8). What is the slope-intercept form of the equation for this line?

y = x – 12
y = x – 4
y = x + 2
y = x + 6

Answer:

$2.59 per pound of bark.

Step-by-step explanation:

Convert 3 tons to pound

1 ton = 2,000 pounds.

3 x 2,000 = 6,000

Now divide the $ and the pounds to find the $ per pound rate

6,000 ÷ 15,540 = 2.59

$2.59

Answer:

3603 boxes.

Step-by-step explanation:

Rectangular Prism is actually a cuboid.

Volume of cuboid = length * width * height.

It is given that length = 16.5 m,  width = 18.2 m, and height = 12 m. Therefore:

Volume = 16.5 * 18.2 * 12 = 3603.6 cubic meters.

Volume is actually the capacity of the shape. If the box has the volume of 1 cubic meters, then the number of boxes that can fit in the rectangular prism will be:

Number of boxes to be fit = Volume of Large container/Volume of Small Container.

Number of boxes = 3603.6/1 = 3603 boxes.

Therefore, 3603 boxes will fit the rectangular prism and 0.6 cubic meters will be the spare space!!!

Answer:

1 and 3

AB is the shortest segment in △ABC.

AC = 2AB

Step-by-step explanation:

Enjoy!!

Answer:

1. AB is the shortest segment in △ABC.

3. AC = 2AB

Step-by-step explanation:

edge24

Answer:

See attachment.

Step-by-step explanation:

The given function is

[tex]y=0.5\sec(x+\frac{\pi}{3})-2[/tex]

This is the graph of [tex]y=\sec(x)[/tex] that is shifted down 2 units and shifted to the left [tex]\frac{\pi}{3}[/tex] units.

When x=0, [tex]y=0.5\sec(0+\frac{\pi}{3})-2[/tex]

[tex]y=0.5\sec(\frac{\pi}{3})-2[/tex]

[tex]y=1-2=-1[/tex]

The y-intercept is -1.

The correct choice is shown in the attachment

Answer:

The attached graph is the answer

Step-by-step explanation:

* Lets revise the trigonometry translation

- If the equation is y = A sec(B(x + C)) + D

# Amplitude is A

- The Amplitude is the height from the center line to the peak .

  Or we can measure the height from highest to lowest points and

  divide that by 2

# period is 2π/B

- The Period goes from one peak to the next

# phase shift is C (positive is to the left)

- The Phase Shift is how far the function is shifted horizontally

  from the usual position.

# vertical shift is D

- The Vertical Shift is how far the function is shifted vertically from

 the usual position.

- If y = sec(x)

∴ A = 1 , B = 1 , C = 0 , D = 0

- That means the amplitude is 1, the period is 2π, no phase shift

 or vertical shift

* Now lets solve the problem

∵ y = 0.5 sex(x + π/3) - 2

∴ A = 0.5

- The 0.5 tells us it will be half times taller than usual,

 so Amplitude = 0.5

∴ B = 1

- The period is 2π

∴ C = π/3

- The π/3 means it will be shifted to the left by π/3

∴ D = -2

- The -2 tells us the vertical Shift = -2

* Lets calculate the y-intercept

- To find the y-intercept put x = 0

∴ y = 0.5 sec(0 + π/3) - 2

∵ sec(π/3) = 2

∴ y = 0.5(2) - 2 = 1 - 2 = -1

* Now lets look to the graphs to find the correct answer

- Only one graph has y-intercept is -1

- Look to the attached graph

- There is a vertical shift down 2 units

- There is a horizontal shift to the left by π/3 units

- The amplitude is 1/2 ⇒ (-1.5 - -2.5)/2 = 1/2, where -1.5 and -2.5

  are the peak points

- The y-intercept is -1

* The attached graph is the answer

- For more understand look to the attached color graph

- The blue graph is y = sec(x)

- The red graph is y = 0.5 sec(x + π/3) - 2

Answer:I’m thinking 330 but I’m not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer: 330

Solution:

= (11x10x9x8 / 4x3x2x1)  

= 7920 / 24  

= 330

ANSWER

[tex](2x-3y) (4x-y) = 8 {x}^{2} -14xy + 3 {y}^{2} [/tex]

EXPLANATION

We want to expand (2x-3y) (4x-y)

We use the distributive property to obtain,

[tex](2x-3y) (4x-y) = 2x(4x-y) -3y(4x-y)[/tex]

We expand to get,

[tex](2x-3y) (4x-y) = 8 {x}^{2} -2xy -12xy + 3 {y}^{2} [/tex]

Combine the middle terms to obtain,

[tex](2x-3y) (4x-y) = 8 {x}^{2} -14xy + 3 {y}^{2} [/tex]

Answer:

2(25)x

Step-by-step explanation:

F(X) = 2(5)^2x two times five equals 10. 10 to the power of two equals 100 because it's ten times ten. So F(X) = 100^x because that means it's just 100. Also F(x) = 4(25)^x because four times 25 equals 100.

Answer:

b=1.005

Step-by-step explanation:

b=(1+0.5%)

=1+0.005

=1.005

Answer:

b=1.005

Step-by-step explanation:

b=(1+0.5%)

=1+0.005

=1.005

Step-by-step explanation:

Answer:

He could increase the sample size

Step-by-step explanation:

In hypothesis testing, the error associated with the test is affected by a number of factors. The first factor is the level of significance, alpha. This is the probability of type 1 error. The probability of rejecting the null hypothesis when it is indeed true.

The second factor is the size of the sample used. The larger the sample, the smaller the error since the characteristics of the sample will be closer to those of the entire population on which inference is being made

Answer:

B is correct just took the test.

Step-by-step explanation:

Answer:

the answer is 2,800

Step-by-step explanation:

Answer:

The elephant would weigh 14,400 pounds

explanation:

2,000 pounds equals 1 ton.

First you would multiply 2,000 by 7 and that would equal 14,000.

So 7 tons converted to pounds would be 14,000

Finally, you would add the 400 pounds to 14,000 and you would get 14,400

Hopes this helps :)  - A.Hazle

Answer:

you need 8 hours of training

Answer:

The graph shows the solution to the system inequalities

y ≥ -3x + 3 and y ≥ 2x ⇒ answer D

Step-by-step explanation:

* Lets study the graph to solve the question

- There are two solid lines, that means the sign of the inequalities

  are ≤ or ≥

- One of the two line passes through the origin and the other

  intersect the y-axis

- The shaded region is over the two lines, then the signs of the

  inequalities are ≥ (greater than or equal)

* Lets make the equations of the two lines

∵ The form of the equation is y = mx + c, where m is the slope of the

   line and c is the y-intercept

- The rule of the slope of the line wich passes through points (x1 , y1)

  and (x2 , y2) is m = (y2 - y1)/(x2 - x1)

- Y-intercept means the line intersect the y-axis at point (0 , c)

* Now lets find from the graph two points on each line to make the

 equations of the lines

# The line which passes through the origin

∵ Points (0 , 0) and (5 , 10) are on the line

- Let (0 , 0) is (x1 , y1) and (5 , 10) is (x2 , y2)

∴ m = (10 - 0)/(5 - 0) = 10/5 = 2

∴ The equation of the line is y = 2x + c

∵ The line passes through the origin

∴ c = 0

∴ The equation of the line is y = 2x

- The shaded is over the line

∴ The inequality is y ≥ 2x

# The line which intersect the y-axis at point (0 , 3)

∵ Points (0 , 3) and (1 , 0) are on the line

- Let (0 , 3) is (x1 , y1) and (1 , 0) is (x2 , y2)

∴ m = (0 - 3)/(1 - 0) = -3/1 = -3

∴ The equation of the line is y = -3x + c

∵ The line passes through the point (0 , 3)

∴ c = 3

∴ The equation of the line is y = -3x + 3

- The shaded is over the line

∴ The inequality is y ≥ -3x + 3

∴ The graph shows the solution to the system inequalities :

   y ≥ -3x + 3 and y ≥ 2x

The graph shows the solution to the system inequalities

y ≥ -3x + 3 and y ≥ 2x ⇒ answer D

Explanation:

* Lets study the graph to solve the question

- There are two solid lines, that means the sign of the inequalities

 are ≤ or ≥

- One of the two line passes through the origin and the other

 intersect the y-axis

- The shaded region is over the two lines, then the signs of the

 inequalities are ≥ (greater than or equal)

* Lets make the equations of the two lines

∵ The form of the equation is y = mx + c, where m is the slope of the

  line and c is the y-intercept

- The rule of the slope of the line wich passes through points (x1 , y1)

 and (x2 , y2) is m = (y2 - y1)/(x2 - x1)

- Y-intercept means the line intersect the y-axis at point (0 , c)

* Now lets find from the graph two points on each line to make the

equations of the lines

# The line which passes through the origin

∵ Points (0 , 0) and (5 , 10) are on the line

- Let (0 , 0) is (x1 , y1) and (5 , 10) is (x2 , y2)

∴ m = (10 - 0)/(5 - 0) = 10/5 = 2

∴ The equation of the line is y = 2x + c

∵ The line passes through the origin

∴ c = 0

∴ The equation of the line is y = 2x

- The shaded is over the line

∴ The inequality is y ≥ 2x

# The line which intersect the y-axis at point (0 , 3)

∵ Points (0 , 3) and (1 , 0) are on the line

- Let (0 , 3) is (x1 , y1) and (1 , 0) is (x2 , y2)

∴ m = (0 - 3)/(1 - 0) = -3/1 = -3

∴ The equation of the line is y = -3x + c

∵ The line passes through the point (0 , 3)

∴ c = 3

∴ The equation of the line is y = -3x + 3

- The shaded is over the line

∴ The inequality is y ≥ -3x + 3

∴ The graph shows the solution to the system inequalities :

  y ≥ -3x + 3 and y ≥ 2x

Learn more about graph here:

https://brainly.com/question/19040584

#SPJ3

Answer:

112.81 m.

Step-by-step explanation:

The pole and the tower and their shadows form 2 similar triangles so their corresponding sides are in the smae ratio.

Therefore we have the relation:

1.21 / 48.75 = 2.8 / x   where x is the height of the tower.

Cross multiplying:

x = 2.8 * 48.75 / 1.21

= 112.81 m

Final answer:

To find the height of the tower, we use the proportion 2.8 m / 1.21 m = H / 48.75 m. After cross-multiplication and division, the height of the tower is calculated to be approximately 112.81 meters.

Explanation:

The student's question involves using similar triangles to determine the height of a tower based on the shadow it casts. To solve this problem, we can set up a proportion because the pole and tower will cast shadows at the same angle due to the sun's position. The proportional relationship is formed by the height of the pole over its shadow length being equal to the height of the tower over its shadow length.

Let's designate the height of the tower as H. The proportion will then be:

2.8 m / 1.21 m = H / 48.75 m

Cross-multiplying to solve for H, we get:

2.8 m \\times 48.75 m = H \\times 1.21 m

136.5 m = 1.21 m \\times H

To find H, divide both sides by 1.21 m:

H = 136.5 m / 1.21 m

H = 112.8099 m

So, the height of the tower is approximately 112.81 meters after rounding to two decimal places.

Median: Put the list in order from least to greatest.

$20, $20, $23.50, $25, $26.50

$20, $23.50, $25

$23.50 is the median. I took one from each side until I had one left.

Mean: Get the sum of them all and then divide by the number of earnings ( in this case )

$25 + $26.50 = $51.50      $51.50 + $20 = $71.50    $71.50 + $23.50 = $95

$95 + $20 = $115    $115/5 = $23

$23 is the mean.

Mode: Is the one that finds the frequency or in lamen terms it is the number which appears most often.

There's no steps for finding the expect counting how many times that number appeared.

$20 is the mode.

Answer:

He's correct

Step-by-step explanation:

Answer:

7/13

Step-by-step explanation:

26 cards are red.  2 are black threes.  So the probability that a card is a three or red is 28/52, which reduces to 7/13.

Answer:

150

Step-by-step explanation:

3x58=174

3x8=24

174-24=150

a) The answer will be 456976 because you multiply 26 and 4.

b) The answer will be 358800 bacause you multiply 26*25*24*23

In theory, yes. Light that left the earth 65 million years ago is now 65 million light years away, and an alien with a big enough telescope pointed directly at the earth might be able to see dinosaurs. Practically, such a telescope would be impossibly huge.

Answer:

Hmm, rather unusual question. I think that if an alien were looking at Earth 100,000 light years away, I don't think it would be able to see Earth! But if it could, it would see a planet filled with life, buildings, water and land.

Step-by-step explanation:

Answer: a

hope this helps

Answer:

The answer is A) rotate 540° clockwise about (5, 3) and reflect across the line y = 3 HOPE I HELP :)

Step-by-step explanation:

Answer:

is there an equation?

Answer:

59,53,47,41,35 and many more

Step-by-step explanation:

substract 6

Answer:

59

Step-by-step explanation:

Each of them are subtracting 6 each time.

Answer:

There were 18 trials recorded

Step-by-step explanation:

Each dot is a trial, the numbers under them is how long each that trial took.

Hope this helps.

The number of  times trials were recorded during the experiment are:

                                    18

We know that the dot plot is nothing but the representation of outcomes of a experiment where the dots represent the value of each outcome.

and the total number of  dots represent the total number of items which are studied or recorded.

Here, the total number of trials that are recorded is equal to the total number of dots in the dot plot i.e. the total frequency of the set.

The data frequency table is as follows:

      Value            Frequency

       15                      2

        17                      3

        19                      2

        20                     2

        21                       1

        23                       4

        24                        1

         25                       3

 Total frequency= 2+3+2+2+1+4+1+3=18

Hence, the answer is: 18                  

Answer:

The height of the football is 48 feet after 3 seconds

The first equation y = -16t² + 64t is the best

Step-by-step explanation:

* Lets explain how to solve the problem

- The equation of motion of an object on air without any

 external force is y = ut + 1/2 at², where y is the height of the

 object from the ground, u is the initial velocity, a is the

 acceleration of gravity and t is the time

* Lets solve the problem

- A football is kicked at ground level with an initial velocity of

 64 feet per second

∴ u = 64 feet per seconds

∵ The football is kicked upward

∴ a = -32 feet per seconds²

∵ y = ut + 1/2 at²

∴ y = 64t + 1/2 (-32)t²

∴ y = 64t - 16t²

* We will use the first equation y = -16t² + 64t

∵ y = -16t² + 64t

- We need to find the height of the football after 3 seconds

∵ t = 3 seconds

∴ y = -16(3)² + 64(3)

∴ y = 48

∵ y represents the height of the football

∴ The height of the football is 48 feet after 3 seconds

Answer:

6.37%

Step-by-step explanation:

A deck of cards have 52 cards.  There are 4 suits of 13 card each, those suits are Hearts, Clubs, Diamond and Spades.

The probability that the first card is a heart is:

[tex]P(Hearts) = \frac{13}{52}[/tex]

Now, the probabily that the second card is a diamond is:

[tex] P(Diamond | First card is Heart) = \frac{13}{51}[/tex]

The Probability that the first card is a heart and the second one a diamond is given by:

[tex]P(Hearts)[/tex]×[tex]P(Diamond | First card is Heart)[/tex]

[tex]= \frac{13}{52}\frac{13}{51}[/tex]

[tex]= 6.37[/tex]%

Answer:

6.37 %

Step-by-step explanation:

First card is 13/52 , the second card is 13/51.

So the probability is (13/52 × 13/51) = 6.37 %

D or B Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

2x-8=x+9

x=17

ANSWER

BC=17 units

EXPLANATION

The given triangle is an isosceles triangle.

We have

AC=AB

This implies that,

[tex]x + 9 = 2x - 8[/tex]

Group similar terms and simplify to get:

[tex]2x - x = 9 + 8[/tex]

[tex]x = 17[/tex]

Side BC is x units. But x=17

Therefore BC is 17 units.

Check the picture below, notice the tickmarks.

for a chord perpendicular to the diameter chord, their intersection makes two equal segements and those twin segments make twin arcs.

[tex]\bf 2x+5=3x-2\implies 5=x-2\implies \boxed{7=x} \\\\\\ y+8=5y\implies 8=4y\implies \cfrac{8}{4}=y\implies \boxed{2=y} \\\\[-0.35em] ~\dotfill\\\\ \widehat{AB}=2(7)+5\implies \widehat{AB}=19~\hfill \overline{DC}=5(2)\implies \overline{DC}=10[/tex]

Answer for arc AB:

since we know FB is the perpendicular bisector of AC then we know AB is the same length as BC so: 2x + 5 = 3x - 2 put everything on the left side

2x + 5 + 2 = 3x -2 + 2    2x + 7 = 3x put the variables on one side

2x - 2x + 7 = 3x - 2x   7 = x  plug it in

2(7) + 5 = 19

AB = 19

Answer for segment DC:

since we know FB is the perpendicular bisector of AC then we know AD is the same as DC.

y + 8 = 5y put the variable on one side

y - y + 8 = 5y - y   8 = 4y simplify

8/4 = 4y/4

2 = y plug it in

5(2) = 10

DC = 10

Answer:

The correct answer is   104.55

Step-by-step explanation:

From the given information we can write,

Principle amount = 100

To find the amount after 10 years in plan A

Now total = 100

Under plan A increase his account balance by 20.00 per year

Amount increased = 10 *20 = 200

Total = 100 + 200 = 300

To find the amount after 10 years in plan B

Total = 100

Amount after 10 yeras = 100[1 + 15/100]¹⁰

= 100 * 1.15¹⁰ = 100 * 4.04 = 404.55

To find the difference

Difference = 404.55 - 300

= 104.55

The correct answer is   104.55

Answer:

34.5 inches

Step-by-step explanation:

To find the length of the original piece of ribbon, multiply 6.9 inches by 5, obtaining 34.5 inches.

By the way, it appears that your problem statement is not complete.  Nathan thought ... what?  Please be sure to share the entire problem next time.