What is the total surface area of this triangular prism?

f(x)=4x-6

g(x) = f(2x)

Substitute 2x into the first equation, which you get

f(2x)=8x-6

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:

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

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

Answer:

Look at attached image

Step-by-step explanation:

Graph using (X, Y)

Hope this helps!

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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

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

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:

what are the drop down words.

Check the picture below.

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:

100 waffles

Step-by-step explanation:

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

Answer:

((75 +45)÷5-10)×2

Step-by-step explanation:

Simplified:

((120÷5)-10×2

=(24-10) ×2

=14 ×2

=28

Answer:

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

Step-by-step explanation:

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:

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

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:

A  

Hope this helps!

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because a line segment does not have two arrows on the end and it does not have one arrow and it does not have nothing some the correct answer is A

Answer:

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

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:

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.

Answer:

8

Step-by-step explanation:

It's counting by 2's

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:

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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[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]