I need help please can you explain it please ​

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

Answer: 35

Step-by-step explanation:

The total number of students who voted is 35.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

A class votes for their class president Candidate A receives 21 votes, which is 60% of the vote.

The total number of students who voted,

= 21 x100 / 60

= 2100/60

= 35

Therefore, 35 students voted.

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Answer:

25 is correct answer try it

Step-by-step explanation:

Answer:

25 is correct answer try it

squareroot (3x-11)^2=(5+3)^2

3x-11=64

3x=64+11

3x=75

x=25

Answer:

5/9

Step-by-step explanation:

fraction: 20/45

lcd of 25 and 45 is 5

25 ÷ 5 = 5

45 ÷ 5 = 9

therefore; 5/9

Answer:

((75 +45)÷5-10)×2

Step-by-step explanation:

Simplified:

((120÷5)-10×2

=(24-10) ×2

=14 ×2

=28

Answer (Left to right per row):

-1, 2, 4, 6, 6.9, 6.99, 6.999

Step-by-step explanation:

y is anything less than 7

Check the picture below.

Answer:

100 waffles

Step-by-step explanation:

Answer:

Look at attached image

Step-by-step explanation:

Graph using (X, Y)

Hope this helps!

PLS MARK BRAINLIEST!!!

Answer:

Your answer is 1/8 pint.

Step-by-step explanation:

Since there are two cups for every one pint, this means that 1/4 a cup would equal 1/8 pint.

Step-by-step explanation:

Line 1: Ax+By=3

By=-Ax+3

-> slope is -A/B

Line 2: Ax+By=2

By=-Ax+2

-> slope is -A/B

Line 3: Bx-Ay=1

Ay=Bx-1

-> slope is B/A

So lines 1,2 are parallel, and lines 1,3 and 2,3 are perpendicular

Answer:

I am not too sure but I think the answer would be 6

Step-by-step explanation:

The random nature of the process is why Gina doesn't get the theoretical probability. If she were to repeat this experiment say 1000 or perhaps 10,000 times, then her experimental probability value should get closer to 1/2. It likely won't land *exactly* on 1/2 because again of the random nature of the outcomes.

For more information, check out the Law of Large Numbers.

Answer:

The theoretical probability of spinning a head = 1/2 = 0.5

Therefore, if Gina spins a penny 100 times, the theoretical number of times it will land head side up = 0.5 x 100 = 50 times

Gina's experimental probability is 38/100 = 0.38

Therefore, the experimental probability is less than the theoretical probability.

The main difference between experimental and theoretical probability is that experimental probability is based on the actual results of an experiment (gathered by experimenting repeatedly), whereas theoretical probability is based on possible outcomes based on assumptions.

If Gina continued to spin the penny, as the number of times she spun it increased, you would expect for the experimental probability to get nearer to the theoretical probability of 0.5.

Answer:

The two numbers are 6 and 9

Step-by-step explanation:

Let the two numbers be x and y

x+y = 15

x-y = 3

Add the two equations together to eliminate y

x+y = 15

x-y = 3

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

2x = 18

Divide by 2

2x/2 = 18/2

x = 9

Now we can find y

x+y = 15

9+y = 15

y = 15-9

y = 6

The two numbers are 6 and 9

Step-by-step explanation:

1 mile = 5280 ft

1 hour = 3600 seconds (60 minutes of 60 seconds each).

the open question here is : do we need the ground distance, or really the line of sight distance (e.g. directly above the intersection the distance is 0 ft ground distance but 95ft line of sight distance) ?

based on the above conversions the speed

30 miles per hour = 30×5280 ft per 3600 seconds =

= 158,400 ft / 3600 s = 44 ft/s

so, the balloon moves away from the intersection 44 ft every second.

so, just for ground distance in ft we would have

d = 44t

for the line of sight distance we need to use Pythagoras, as we need to calculate the length of the Hypotenuse (= the line of sight) of the right-angled triangle of ground distance, height and line of sight.

the ground distance is again the same function as before (44t). height is constant (95 ft).

so,

d² = (44t)² + 95² = 1936t² + 9025

d = sqrt(1936t² + 9025)

so, e.g. after 1 second the line of sight distance would be

d = sqrt(1936×1 + 9025) = sqrt(1936 + 9025) =

= sqrt(10961) = 104.6947945... ft

that means although the ground distance increased by 44 ft, the line of sight distance increased only by roughly 10 ft.

that's how right-angled triangles work.

after 2 seconds d = 129.4951737... ft, so, roughly a 25 ft increase compared to 1 second. the change rate of the line of sight distance (the Hypotenuse) will get closer and closer to the (constant) change rate of the ground distance (but will never fully reach it - only in infinity ...).

Answer:

Step-by-step explanation:

m ∠ D + m ∠ E + m ∠ F = 180°

m ∠ D = m ∠ F - 14

m ∠ E = 2( m ∠ F ) + 10

m ∠ F - 14 + 2( m ∠ F ) + 10 + m ∠ F = 180°

4( m ∠ F ) = 180 + 4

m ∠ F = 46 °

m ∠ E = 2 × 46 + 10 = 102 °

m ∠ D = 46 - 14 = 32 °

Answer:

D = 32°

E = 102°

F = 46°

Step-by-step explanation:

The measure of angle D is 14 less than the measure of angle F

⇒ D = F - 14

The measure of angle E is 10 more than twice the measure of angle F:

⇒ E = 2F + 10

So we have now constructed two equations:

Equation 1:  D = F - 14

Equation 2:  E = 2F + 10

Also, we know that the sum of the interior angles of a triangle is 180°.

Therefore, D + E + F = 180

Substitute the two equations we have constructed for D and E into the sum of the interior angles equation and solve for F

     D + E + F = 180

⇒ (F - 14) + (2F + 10) + F = 180

⇒ 4F - 4 = 180

⇒ 4F = 180 + 4 = 184

⇒ F = 184 ÷ 4

⇒ F = 46°

Now substitute the found value of angle F into the two equations for D and E:

   D = F - 14

⇒ D = 46 - 14

⇒ D = 32°

   E = 2F + 10

⇒ E = 2(46) + 10

⇒ E = 92 + 10

⇒ E = 102°

[tex]=Solution,\\\\Diameter(d)=10yd\\\\Radius(r)=10yd/2=5yd\\\\Now,\\\\Volume=\frac{4}{3} \pi r^{3} \\\\Volume=\frac{4}{3} *\pi*(5yd)^{3} \\\\Volume=\frac{4}{3}*3.14*125yd^{3} \\\\Volume=523.33yd^{3}[/tex]

Answer:

b 14oz .box

Step-by-step explanation:

10 oz cost 1.86

1 oz is .19 cents

14 oz cost 2.61

1 oz is .19 cents

so the for one oz is .19 cents for both of them

so chose 14 oz for 2.61 because it gives you more cereal for the same price per oz

Step-by-step explanation:

a=> let t denote the number of t

n(t)=1

number of total letters, n(s) = 8

Now,

probability of getting t ,P(t)

= n(t)/ n(s)

= 1/8

b=> let o denote the number of o and

m

n(o)=2

number of total letters, n(s) = 8

Now,

probability of getting t ,P(o)

= n(o)/ n(s)

= 2/8

= 1/4

c=> let x denote the number of x

n(x)=0

number of total letters, n(s) = 8

Now,

probability of getting a x, P(x)

= n(x)/n(s)

= 0/8

= 0

d=> let v denote the number of vowel

letters

n(v)=3

number of total letters, n(s) = 8

Now,

probability of getting a vowel

letter,P(v) = n(v)/n(s)

= 3/8

I hope my answer was helpful

Answer:

8

Step-by-step explanation:

It's counting by 2's

Answer:

1875

Step-by-step explanation:

1500 x .25 is 375 add them together

The required statement that is true for the given circle is PQ = PR. Option D is correct.

A circle is a closed shape consisting of all points in a plane that are at a constant distance from a single fixed point called the center. The distance between the center and any point on the circle is called the radius, and the distance across the circle, passing through the center, is called the diameter.

Here,
From the figure,
QP = PR,

So P is the midpoint of QR,

Thus, the required statement that is true is PQ = PR. Option D is correct.

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Answer:

which question?

Step-by-step explanation:

I'm confused on what your trying to solve

The angle measure of arc AC at the center of the circle is; 21°

From the task content;

It follows that from circle theorems that; The angle subtended by an arc at the center of a circle is twice that which it subtends at the circumference.

Hence;

x = 4.

By substituting x= 4 into the expression; (3x +9)°

Hence, the angle subtended at the center of the circle is; 12+9 = 21°.

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Answer:

They can make 30 Bags total.

Step-by-step explanation:

Jane has $17. There are 12 pencils in each pack for $1.60.

Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.

1.69 x 10 = 16.9

Eric has $19. There are 150 cards in one pack for $2.99.

Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.

2.99 x 6 = 17.94

Eric.

150^6 = 900

900/30 = 30

Jane.

12^10 = 120

120/2 = 60

60/2 = 30

Together.

30 cards can go into 30 bags, and 2 pencils can go into 30 bags

Answer:

762

Step-by-step explanation:

Since he makes 24 dollars a hour and he worked for a total of 40 hours that'll equal to 960 and when you subtract all the taxes away from his payment it'll equal to 762

The net income of the carpenter will be $762.

The amount paid by any company or industry to the employees after deductions of the several taxes is the net income.

Given that:-

So the net income of the carpenter will be calculated as:-

Gross pay will be =  24   x  40  =  $960

Net income  =  960  -  (  83  +  74  +  41  )  =  $762

Hence the net income of the carpenter will be $762.

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Answer:

it is A?? I'm not sure but Stan nct.....