What is the slope of the line that contains the points (-5, 6) and (14.-7)?
O A.
7
19
B.
7
5
C.
13
5
O D.
13
19

Answer: 26 games in total.

Step-by-step explanation:

If in each game we have one winner and one loser, then after each game we have one less player.

first, out of 37 players, we can write it as 36 players  + 1 player that does not play in the first round

the 36 players play games. Because in each game we need 2 players, we have a total of 36/2 = 18 games

in those 18 games, we eliminate 18 players, so now we have 37 - 18 = 19 players.

Now, we can write 19 = 18 players + 1 player that does not play this round.

From the 18 players, we have 18/2 = 9 games.

And from those 9 games, we lose 9 players, so now we have:

19 - 9 = 10 players.

Now from those 10 players, we have 10/2 = 5 games, so after those 5 games we have 10 - 5 = 5 players.

Now we can write 5 = 4 players + 1 player that does not play this round.

from the 4 players we have 4/2 = 2 games, after those 2 games we end with 5 - 2 = 3 players.

And from those last 3 players, we have two games, where in each game one player is eliminated until we have only one winner.

Then the total number of games is:

18 + 9 + 5 + 2 + 2 = 26 games

Answer:

D.the distance you drive

Step-by-step explanation:

The range of the function is the values of the output

h is the input

60h is the output

60 = miles driven = distance

Answer:

the answer would be D. the distance you drive

Step-by-step explanation:

because i took the quiz and put this answer and got it right

Answer:

The correct answer is D.

Step-by-step explanation:

Giving the following information:

R = 90x

Total cost= 35x + 17,000

x= is the number of units produced and sold

Now, we know that:

Unitary variable cost= 35

Fixed costs= 17,000

Selling price per unit= 90

To calculate the break-even point in units, we need to use the following formula:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 17,000 / (90 - 35)

Break-even point in units= 309 units

Answer:

Step-by-step explanation:

The equation of a linear function:

y = mx + b

m - slope

b - y-intercept

x = 3 - it's a vertical line. It's not equation of a linear function

y = 16 - it's a horizontal line. It's an equation of a linear function

where m = 0, b = 16

y = -3x + 10 - it's an equation of a linear function

where m = -3, b = 10

y = 3x² + 1 - it's a quadratic function ( x² ).

Answer:

y = 16 and y = -3x + 10

Step-by-step explanation:

hello

Answer:

[tex]\boxed{x=\frac{4\pm\sqrt{2}}{2}}[/tex]

Step-by-step explanation:

Part 1: Rewriting equation to match ax² + bx + c = 0 (quadratic function)

The given equation is not written in quadratic form. To rewrite the equation:

To overcome this difficulty, follow these mathematical steps:

[tex]2x^2=8x-7\\2x^2-8x=-7\\2x^2-8x+7=0[/tex]

Subtract 8x from both sides of the equation to rearrange it to the left side. Then, add 7 to rearrange it as well. Finally, set the three values on the left of the equation equal to zero.

Part 2: Using the quadratic formula

The quadratic formula is defined as [tex]\boxed{x=\frac{-b\pm\sqrt{b^2-4ac} }{2a} }[/tex].

Using the parent quadratic function, the values are easy to find in the given equation. [tex]\boxed{a=2, b=-8, c=7}[/tex]

Substitute these values into the quadratic formula and solve for x.

[tex]x=\frac{8\pm\sqrt{(-8)^2-4(2)(7)}}{2(2)} \\\\x=\frac{8\pm\sqrt{64-4(14)}}{4}\\\\x=\frac{8\pm\sqrt{64-56}}{4} \\\\x=\frac{8\pm\sqrt{8}}{4}\\\\x= 2\pm\frac{\sqrt{8}}{4}\\ \\x=2\pm\frac{\sqrt{2}}{2}[/tex]

Part 3: Solving for x with the values from the quadratic formula

Now that x is set equal to the simplified version of the equation, the operations have to be followed through with.

This equation will have two zeros/roots to solve for by setting x equal to zero.

Operation 1: Addition

[tex]x=2+\frac{\sqrt{2} }{2}\\\\x=\frac{4+\sqrt{2}}{2}[/tex]

Operation 2: Subtraction

[tex]x=2-\frac{\sqrt{2}}{2}\\ \\x=\frac{4-\sqrt{2}}{2}[/tex]

Because both values are the exact same (minus the operations), the roots can be simplified even further to one value:

[tex]\boxed{x=\frac{4\pm\sqrt{2}}{2}}[/tex]

Answer:

Our set of data is:

A. their first choice (12 people)

B their second choice (7 people)

C their third choice (3 people)

D their last choice (3 people)

The total number of people is:

12 + 7 + 3 + 3 = 25.

You already know the number of people for each situation, but let's calculate the percentage:

1st choice: The first choice of 12 people winned, and the total number of people is 25.

Now, 25 is our 100%, then 12 is equivalent to x;

Then we have

12*100% = 25*x

x = (12/25)*100% = 48%

This is:

The quotient between

Second choice:

Same reasoning as above, here the percentage is:

(7/25)*100% = 28%

Third choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Fourth/Last choice:

Same reasoning as above, here the percentage is:

(3/25)*100% = 12%

Answer: m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Given: Circle k(O), m NM =65° ∠PNO≅∠PMO

To find: m∠PNO, m∠ONM.

Since, central angle is equal to the measure of minor arc.

⇒∠MON = m NM =65°

In Δ MON , ON = OM [Radii of circle]

⇒ ∠ONM = ∠NMO   (i)   [Angle apposite to equal side of triangle are equal]

In Δ MON , ∠ONM + ∠NMO+∠MON =180°

⇒ ∠ONM + ∠ONM+65°=180°  [from (i)]

⇒ 2∠ONM=115°

⇒ ∠ONM=57.5°

⇒ ∠ONM = ∠NMO =57.5°

Also, an inscribed angle is half of a central angle that subtends the same arc.

⇒∠MPN =half of∠MON

=  [tex]\dfrac{65^{\circ}}{2}=32.5^{\circ}[/tex]

Also, ∠PNO≅∠PMO  [Given]

⇒∠PNO =∠PMO

⇒ ∠PNO +∠ONM =∠PMO+∠NMO   [∵∠ONM = ∠NMO]

⇒∠PNM=∠PMN

In ΔNPM

⇒ ∠MPN +∠PNM+∠PMN = 180°

⇒ 32.5° +∠PNM + ∠PNM= 180°

⇒ 2(∠PNM)= 147.5°

⇒ ∠PNM = 73.75°

Also,  ∠PNM = ∠PNO+∠ONM

⇒73.75°= ∠PNO+57.5°

⇒ ∠PNO =16.25°

Hence, m∠PNO =16.25°  , m∠ONM=57.5°

Answer:

Answer: m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Given: Circle k(O), m NM =65° ∠PNO≅∠PMO

To find: m∠PNO, m∠ONM.

Since, central angle is equal to the measure of minor arc.

⇒∠MON = m NM =65°

In Δ MON , ON = OM [Radii of circle]

⇒ ∠ONM = ∠NMO   (i)   [Angle apposite to equal side of triangle are equal]

In Δ MON , ∠ONM + ∠NMO+∠MON =180°

⇒ ∠ONM + ∠ONM+65°=180°  [from (i)]

⇒ 2∠ONM=115°

⇒ ∠ONM=57.5°

⇒ ∠ONM = ∠NMO =57.5°

Also, an inscribed angle is half of a central angle that subtends the same arc.

⇒∠MPN =half of∠MON

=  

Also, ∠PNO≅∠PMO  [Given]

⇒∠PNO =∠PMO

⇒ ∠PNO +∠ONM =∠PMO+∠NMO   [∵∠ONM = ∠NMO]

⇒∠PNM=∠PMN

In ΔNPM

⇒ ∠MPN +∠PNM+∠PMN = 180°

⇒ 32.5° +∠PNM + ∠PNM= 180°

⇒ 2(∠PNM)= 147.5°

⇒ ∠PNM = 73.75°

Also,  ∠PNM = ∠PNO+∠ONM

⇒73.75°= ∠PNO+57.5°

⇒ ∠PNO =16.25°

Hence, m∠PNO =16.25°  , m∠ONM=57.5°

Step-by-step explanation:

Answer:

4%

Step-by-step explanation:

We can write the following equation:

20 * (x / 100) + 60 * 0.12 = 80 * 0.10 (Note that since we're writing the percentages as decimals, x% becomes x / 100 as a decimal.)

x / 5 + 7.2 = 8

x / 5 = 0.8

x = 4%

Answer:

Its B. on edge

Step-by-step explanation:

got it right on my test

Answer:

Area of the triangle = 469.4 ft²

Step-by-step explanation:

By applying Sine rule in the given triangle WXY,

[tex]\frac{\text{SinW}}{\text{XY}}=\frac{\text{SInY}}{\text{WX}}=\frac{\text{SinX}}{\text{WY}}[/tex]

Since m∠X + m∠Y + m∠W = 180°

m∠X + 40° + 27° = 180°

m∠X = 180° - 67°

m∠X = 113°

Now substitute the measures of sides and angles given in the picture,

[tex]\frac{\text{Sin27}}{\text{XY}}=\frac{\text{SIn40}}{38}=\frac{\text{Sin113}}{\text{WY}}[/tex]

[tex]\frac{\text{Sin27}}{\text{XY}}=\frac{\text{SIn40}}{38}[/tex]

XY = [tex]\frac{38\text{(Sin27)}}{\text{Sin40}}[/tex]

XY = 26.84

Area of the triangle = [tex]\frac{1}{2}(\text{XY})(\text{XW})(\text{SinX})[/tex]

                                = [tex]\frac{1}{2}(26.84)(38)(\text{Sin113})[/tex]

                                = 469.42

                                ≈ 469.4 ft²

[tex] {3x}^{2} - 4x - 12 = 0[/tex]

[tex]a = 3[/tex]

[tex]b = - 4[/tex]

[tex]c = - 12[/tex]

Formula:

[tex] \boxed{x = \dfrac{ - b \pm \: \sqrt{ {b}^{2} - 4ac} }{2a} }[/tex]

Replacing:

[tex]x = \dfrac{ -( - 4) \pm \sqrt{ { (- 4)}^{2} - 4(3)( - 12)} }{2(3)} [/tex]

Option: C).

Answer:

f( x ) = 4( [tex]2^x[/tex] )

Step-by-step explanation:

If we vertically stretch a graph by a factor of 4, the " exponential slope " extending from the x - axis, should increase by a factor of 4 as well.

Therefore, the previous function is expressed by the following ...

f( x ) = [tex]2^x[/tex] ... then this new function should be -

f( x ) = 4( [tex]2^x[/tex] )

The equation of this new function is f( x ) = 4( [tex]2^x[/tex] )

Answer: f(x) = -3x^2 + 3x - 2

Explain: x of vertex: [tex]x[/tex] = [tex](-\frac b{2}{a} )[/tex]  = [tex]-\frac{3}{-6} = \frac{1}{2}[/tex]

y of vertex: y = [tex]f (\frac{1}{2} ) = - \frac{3}{4} + \frac{3}{2} -2=-\frac{5}{4}[/tex]

y-intercept: y = -2

x-intercept: y = 0

D = b[tex]^[/tex]^2 - 4ac = 9 - 24 = - 15 <0. There are no real roots (no x-intercepts) because D<0.

Since a <0, parabola opens downward. The parabola is below the x-axis

Answer is 31 because you have to count the ones under and behind

Answer:

The mode is the number that occurred the most often. The range is the difference between the highest and lowest values.

Step-by-step explanation:

Answer:

Mode:The number whose repetaed the most is the set (there can be multiple)

Range: The largest number minus the smallest = The range

Answer:

x = 5.4

Step-by-step explanation:

Multiply 7.2 by 3/4 to find the equivalent ratio.

Answer:

Step-by-step explanation:

[tex] \frac{7.2}{x} = \frac{4}{3} [/tex]

Apply cross product property

[tex]4x = 7.2 \times 3[/tex]

Multiply the numbers

[tex]4x = 21.6[/tex]

Divide both sides of the equation by 4

[tex] \frac{4x}{4} = \frac{21.6}{4} [/tex]

Calculate

[tex]x = 5.4[/tex]

Hope this helps..

best regards!!

Answer:

4 meters

Step-by-step explanation:

To do this you would need to know what the area of a rectangle is, it is base times width. So you already know the area so you would just divide it by 5 and you would get the width, which is 4 meters

Answer:

The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2

Step-by-step explanation:

This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m

For the semicircle, the area = [tex]\frac{\pi d^{2} }{4}[/tex] ÷ 2

where d is the diameter

==> [tex]\frac{3.142 * 1.4^{2} }{4}[/tex] ÷ 2

==> 1.539 ÷ 2 = 0.7695 m^2

For the rectangle, area = width x height

==> 1.4 x 1.9 = 2.66 m^2

Total area = 0.7695 + 2.66 = 3.43 m^2

This is the minimum amount of material that will be needed to cover the whole arc.

Step-by-step explanation:

To find the area of the circle we must first find the radius using the formula

radius = diameter / 2

From the question

diameter = 21 ft

The radius is

21/2 = 10.5 ft

Area of a circle = πr²

where r is the radius

Area = π(10.5)²

= 110.25π

Circumference of a circle = πd

where d is the diameter

Circumference = π(21)

Hope this helps you

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

Diameter of the ⭕ (d) = 21 ft

So, radius of the ⭕ (r) = ?

[tex]r = \frac{d}{2} \\ r = \frac{21}{2} \\ r = 10.5 \: \: ft[/tex]

[tex]\boxed{Radius \ = \ 10.5 \ ft}[/tex]

____________________

a) Find the area of the ⭕.

[tex]\boxed{Area \ (a) \ = \ πr^{2}}[/tex]

[tex]a = \pi \: r ^{2} \\ a = \pi(10.5) {}^{2} \\ a = 110.25 \: \pi \\ a = 110.25 × 3.14 \\ a = 346.18 \ ft^{2}[/tex]

[tex]\boxed{Area \ = \ 346.18 \ ft^{2}}[/tex]

____________________

b) Find the circumference of the ⭕.

[tex]\boxed{Circumference \ (c) \ = \ \pi \:d}[/tex]

[tex]c = \pi \: d \\ c = \pi(21) \\ c = 21\pi \\ c = 21 × 3.14 \\ c = 65.94 \ ft[/tex]

[tex]\boxed{Circumference \ = \ 65.94 \ ft}[/tex]

____________________

Value of [tex]\pi [/tex]is taken as 3.14

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

╭═══════ღ❦ღ══╮

[tex] ღRainbowSalt2^{2}2^{2} [/tex]

╰══ღ❦ღ═══════╯

Answer:

So possibilities of zeroes are:

Positive       Negative       Imaginary

   1                    1                   2

   3                   1                   0

Zeroes = -1.4549, 1.2658, 0.34457-1.0503i, 0.34457+1.0503i.  

Step-by-step explanation:

Note: Descartes' Rule of Signs is used to find the signs of zeroes not the exact value.

The given function is

[tex]f(x)=4x^4-2x^3-3x^2+6x-9[/tex]

Degree of polynomial is 4 so number of zeroes is 4.

There are three sign changes, so there are either 3 positive zeros or 1 positive zero.

Now, put x=-x in f(x).

[tex]f(-x)=4(-x)^4-2(-x)^3-3(-x)^2+6(-x)-9[/tex]

[tex]f(-x)=4x^4+2x^3-3x^2-6x-9[/tex]

There is one variation in sign change, so there is 1 negative zero.

So possibilities of zeroes are:

Positive       Negative       Imaginary

   1                    1                   2

   3                   1                   0

Using graphing calculator the zeroes of given function are -1.4549, 1.2658, 0.34457-1.0503i and 0.34457+1.0503i.  

Answer:

$13.00 deposit plus $3 per day.

Step-by-step explanation:

Nick is deciding to acquire membership in municipal swimming pool in Charlotte, North Carolina. There are three different ways for the payment. The lump sum initial is $38 which is difficult for Nick to finance. Also if Nick is unable to go for swim he will lose $38. The per day deposit is suitable option for Nick as he will only have to pay when he goes for swim.

Answer:

Table of swimming costs using the three different payment methods

Payment Method        Number of days

                           0 days  5 days  10 days  15 days  20 days

Early Pay           $38.00  $38.00  $38.00  $38.00    $38.00

Deposit Plus      $13.00  $28.00  $43.00  $58.00     $73.00

Daily Pay           $00.00  $25.00  $50.00  $75.00   $100.00

Answer: 40/41

Step-by-step explanation:

The cosine can be represented as adjacent/hypotenuse.  Thus, the cosine of C is 40/41

Answer:

Solution,

BC = 40

AC = 41

Now,

[tex]cos \: theta \: = \frac{adjacent}{hypotenuse} [/tex]

[tex]cos \: c \: = \frac{bc}{ac} [/tex]

Plugging the values

[tex]cos \: c \: = \frac{40}{41} [/tex]

Hope this helps..

Good luck on your assignment..

Answer:

Step-by-step explanation:

We know that the bull's eye target has a diameter of 20 centimeters, which equals 200 milimeters.

So, we find the area

[tex]A_{target}= \pi (100mm) ^{2} =(3.14)(10000) mm^{2} =31,400 mm^{2}[/tex]

Therefore, the right answer is B.

Answer:

D. 31,400mm^2

Step-by-step explanation:

Answer: Choice B

95 - 1080n for any integer n

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

Explanation:

Notice how 1080 is a multiple of 360 since 360*3 = 1080. The other values 1450, 780 and 340 are not multiples of 360. For example 1450/360 = 4.02777 approximately. We need a whole number result to show it is a multiple.

Therefore, choice B shows subtracting off a multiple of 360 from the original angle 95. In my opinion, it would be better to write 95+360n or 95-360n to make it more clear we are adding or subtracting multiples of 360.

Choice B will find coterminal angles, but there will be missing gaps. One missing coterminal angle is 95-360 = -265 degrees. So again, 95-360n is a more complete picture. I can see what your teacher is going for though.

Answer:

X= 618079825.9

Y= 6.18 crystals

Step-by-step explanation:

It takes Lily a crystal to raise 999 zombies.

It will take her x crystals to Raise 617461746174 zombies

Mathematically

One crystal= 999 zombies

X = 617461746174

X=( 617461746174*1)/999

X= 617461746174/999

X= 618079825.9

Again

It took one crystal to raise 999 zombies

It will take y crystal to raise 6174 zombies

Mathematically

One = 999

Y =( 6174*1)/999

Y= 6.18 crystals

Answer:

The answer is 1.514571894×10^21.

Step-by-step explanation:

Here, the divisors of 288 are,

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288.

now, their product =1×2×3×4×6×8×9×12×16×18×24×32×36×48×72×96×144×288

=1.514571894×10^21.

is answer.

Hope it helps...

Answer:

Step-by-step explanation:

2 * 3 * 4 * 6 * 8 * 9 * 12 * 16* 18 * 24 * 32 * 36 * 48 * 96 * 144

Some teachers would include 288. I would not.

You can get the actual answer by using the calculator that came with your computer. An ordinary calculator will not work because the answer will come out in scientific notation.

657,366,253,849,018,368 is the answer.

Answer:

Her Verticle ramp support was 5.5 ft tall.

Step-by-step explanation:

In this type of question, you would need to use the saying "soh cah toa".

Soh Cah Toa is a saying that people use for Sin, Cosine, and tagent. Each of those mean

Sine: opposite/hypotenuse Cosine: Adjacent/hypotenuse and Tagent: Opposite/Adjacent

In this specific question to figure out how tall or high her support is or needs to be have to 20 degree  angle off the ground, you will need to use Sin which is opposite over Hypotenuse or x/16

To find the answer in your calculator you would do:

Sin(20)=x/16

First thing you do is the get the x on one side by itself so you would multiply 16 on both sides giving you:

16 × Sin(20)= x

You would then follow to put Sin(20) in your calculator giving you 0.34202014332

After that you multiply that number by 16

5.47232229321

Rounding to the nearest tenth you get answer:

5.5

Answer:

B.

Step-by-step explanation:

Well we know that

[tex]224=2^{5} *7[/tex]

so we can get the 2 outside of the radical

[tex]x^{11} =(x^{5} )^{2} *x[/tex]

and we can get the x^2 outside too.

[tex]y^8=y^5*y^3[/tex]

and we also can get y outside.

so we have:

[tex]2x^{2}y\sqrt[5]{7xy^3}[/tex]

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

(-34)(x)≤12

Step 1: Simplify both sides of the inequality.

−34x≤12

Step 2: Multiply both sides by 4/(-3).

(4−3)*(−34x)≤(4−3)*(12)

x≥−16

Answer:

x≥−16

IM A MATH GOD

Answer: Friday

Step-by-step explanation:

Answer:you got this

Step-by-step explanation:

Answer:

[tex]a^2+2ab+b^2[/tex]

Step-by-step explanation:

If we have [tex](a+b)^2[/tex] we can calculate this as:

[tex](a+b)*(a+b)[/tex]

So, applying distribution property, we get:

[tex](a+b)*(a+b)=a*a+a*b+b*a+b*b[/tex]

Where:

[tex]a*a=a^{2}[/tex]

 [tex]b*b=b^2[/tex]

[tex]a*b=b*a=ab[/tex]

so:

[tex](a+b)*(a+b)=a^2-ab+ab+b^2\\(a+b)*(a+b)=a^2+2ab+b^2[/tex]