On a piece of paper, graph this system of inequalities. Then determine which
region contains the solution to the system.
y<-1/3x +3
y>3x+2

Answer:

I hope it will help you....

Step-by-step explanation:

Ratio of adults to children= 7:3

Total no. Of people at the cricket match:150

To find the value of the ratios, 7x+3x=150 ; 10x=150 ; x=150/10:15

So, 7:3 is 7(15) adults to 3(15) children,

Total no. Of adults: 105

Total no. Of children: 45

So, as per the question, the no. Of children that attended the cricket match is 45

Answer:

Step-by-step explanation:

To find the common ratio of the sequence divide the next term by the previous term

That's

- 2 / 6 = - 1/3

2/3 ÷ -2 = 2/3 × -1/2 = - 1/3

Hence

The common ratio is - 1/3

Hope this helps you

Answer:

Step-by-step explanation:

Not 6 on all rolls in the diagram = 4/5

6 on all rolls in the diagram is 1/5

To find the probablity of rolling two sixes, 1/5 x 1/5 = 4/100 = 0.04 = 4%

1) The completed tree diagram is attached

2) The probability of rolling two sixes as worked out from the tree diagram is; P(6 | 6) = ¹/₂₅

Since the probability of rolling a six on the first roll is 1/5, then probability of not rolling a six on first roll is;

P(not 6) = 1 - 1/5

P(not 6) = 4/5

A) Please find attached the completed tree diagram

B) First Roll;

P(6) = ¹/₅

P(not 6) = ⁴/₅

Second Roll;

Let's begin with the P(6) Section;

P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

P(6 | not 6) = ¹/₅ × ⁴/₅ = ⁴/₂₅

Let us now solve for the P(not 6) section;

P(not 6 | 6) = ⁴/₅ × ¹/₅ = ⁴/₂₅

P(not 6 | not 6) = ⁴/₅ × ⁴/₅ = ¹⁶/₂₅

Now, since we are looking for the probability of getting two sixes, it is gotten from the above; P(6 | 6) =  ¹/₅ × ¹/₅ = ¹/₂₅

Read more on; https://brainly.com/question/15981340

Answer:

  see below

Step-by-step explanation:

The premium is your cost for the insurance, paid to the insurance company.

The deductible is your cost for a claim, paid to settle your liability.

The limit is the maximum the insurance will pay for a given incident.

Answer:

3x^1/2 in radical form is

[tex] \sqrt{3x} [/tex]

Hope this helps you

Answer:

[tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{48}{60}[/tex]

To simplify find the highest common factor of 48 and 60, that is 12

Divide both values by 12

[tex]\frac{48}{60}[/tex] = [tex]\frac{4}{5}[/tex] ← in simplest form

The fraction is in simplest form when no other factor but 1 divides into the numerator and denominator

Answer:

The maximum power available to the motor is 2.4 MW

Step-by-step explanation:

The power of  a circuit that has a current, I, and a voltage, V, is given by the relation

Electrical power, P = I²R = I× I×R = I × V

Therefore given that the parameters are;

Voltage in the d.c. power supply = 600 V d.c.

Maximum current in the motor = 4000 A

Therefore, we can find the power as follows;

Maximum motor power = Voltage × Current

The maximum motor power, P available =  600 V × 4000 A = 2400000 W which on converting to MW becomes;

The maximum power available to the motor , P = 2.4 MW.

Answer:

11 17/21 cm²

Step-by-step explanation:

5 1/6 = (5*6 + 1)/6 = 31/6

2 2/7 = (2*7 + 2)/7 = 16/7

A = 31/6*16/7 = 496⁽²/42 = 248/21 = 11 17/21 cm²

Answer:

The data are at the nominal level of measurement

Step-by-step explanation:

Nominal Level of measurement is irrespective of orders or classes. In this survey we do not find out which game is ranked the most favorite.

Nominal; level is used just for counting.  Its cannot be used as a measure or for quantitative analysis.

Such data cannot give the mean of the sample. And the two means cannot be compared.

In the given question it only gives the number of likes  nothing more. The average cannot be calculated for such data.

Answer: (4,10)

Step-by-step explanation:

This is the answer because you would have to plug in everything into the midpoint formula and then solve for x2 and y2. Hope this helps! :)

Answer:

(4,10)

Step-by-step explanation:

A 34_46_37_3÷56×34÷77+34

Answer:

a(15) = 131

Step-by-step explanation:

Explicit Arithmetic Sequence Formula: an = a1 + d(n - 1)

We are given a1 and d, so plug them in:

an = 5 + 9(n - 1)

To find the 15th term, plug 15 in for n:

a(15) = 5 + 9(15 - 1)

a(15) = 5 + 9(14)

a(15) = 5 + 126

a(15) = 131

Answer:

Step-by-step explanation:

d = 9 ----> d is common difference

[tex]a_{1} = 5\\\\[/tex] ----> first term

In arithmetic sequence, the difference between two terms is constant.

to find nth term,

[tex]a_{n} = a_{1} + (n-1)d\\\\a_{15} = 5 + 14*9\\\\ = 5 + 126\\= 131[/tex]

Answer:

see below

Step-by-step explanation:

The product of two negative integers is positive

True    -*- = +

The product of two integers with different signs is positive

False - *+ = -

Two numbers are the same sign then the product is positive

True -*- = +   and +*+ = +

The product of a positive and a negative is negative

True - * + = -  and + * - = -

The signs of two integers are different, then the product is positive.

False  - * + = -  and + * - = -

Answer:

acd

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

If you were to imagine this right triangle, you would find it to be a 45 - 45 - 90 triangle. Perhaps the " shorter leg " piece of information was present to trick you, considering that the legs are congruent by converse to base angle theorem.

How is this triangle a 45 - 45 - 90? In such a triangle, the legs can be posed as x cm, as the base angles are congruent ( 45 and 45 ), thus the legs of the triangle are congruent as well. The hypotenuse would be x√2, and as we can see -

If legs = x, Hypotenuse = x√2 = 9√2

Thus, the length of the other leg is 9 centimeters ( 9 cm )

Hope that helps!

Answer:

8

Step-by-step explanation:

The constant of proportionality is y/x since the graph goes through (0,0)

When y=16 x=2

16/2 = 8

Answer:

It is correct.

Step-by-step explanation:

The constant of proportionality is simply the slope. According to the graph, the rise is 16, and the run is 2, and 16 / 2 = 8.

Hope this helps!

Answer:

Step-by-step explanation:

We're going to leave the right side alone and work on the left side. In other words we are going to use a series of substitutions for these trig idenitites and get the left side manipulated to look like the right side.

Begin with the fact that sin(2x) = 2sin(x)cos(x) and make that first substitution:

2sin(x)cos(x) - tan(x) = right side

Now use the fact that the tangent is the same as the sin over the cos:

[tex]2sin(x)cos(x)-\frac{sin(x)}{cos(x)}[/tex] = right side

Now find a common denominator of cos(x) by multiplying the 2sin(x)cos(x) by cos(x) and writing the whole mess over that common denominator:

[tex]\frac{2sin(x)cos^2(x)-sin(x)}{cos(x)}[/tex] = right side

Now factor out a sin(x):

[tex]\frac{sin(x)(2cos^2(x)-1)}{cos(x)}[/tex] = right side

If we "split" that up and simplify at the same time, we'll see that sin(x) ovr cos(x) is the same as the tan(x), and that 2cos^2 - 1 is the same as cos(2x):

[tex]\frac{sin(x)}{cos(x)}(2cos^2(x)-1)=tan(x)cos(2x)[/tex] and that the left side now is the same as the right side. You MUST learn to recongize these identities.  I'll attach a copy that I made and give to my pre-calculus and calculus classes every year, if I am able to.

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Lets do this step by step.

Simplify: [tex](4x2 - 2x) - (-5x2 - 8x).[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~

Solution:

[tex](4x2 - 2x) - (-5x2 - 8x)= 4x2 - 2x + 5x2 + 8x.= 4x2 + 5x2 - 2x + 8x.= 9x2 + 6x.= 3x(3x + 2).[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~

Answer: [tex]3x(3x + 2)[/tex]

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Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

1 interior angle = 1440° ÷ 10 = 144°

Answer:

The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Step-by-step explanation:

Total number of face cards = 12

Total cards = 52

Probability of getting face card on first draw=[tex]\frac{12}{52}[/tex]

Remaining no. of face cards = 11

Remaining number of total cards = 51

Probability of getting face card on second draw=[tex]\frac{11}{51}[/tex]

The probability that the second card is a face card if it’s known that the first card was a face card =[tex]\frac{12}{52} \times \frac{11}{51}= \frac{12}{52} \times \frac{11}{51}=0.0497[/tex]

Hence The probability that the second card is a face card if it’s known that the first card was a face card is 0.0497

Answer: f²+g²=h²

Step-by-step explanation:

In a right triangle, you use the Pythagorean Theorem: a²+b²=c² to find the hypotenuse of the triangle. I would believe that you could just substitute the variables in this equation with the ones that you have. This should show the relationship between the 3 unknown lengths of the sides.

Answer:

  all are 90°

Step-by-step explanation:

Vertical angles are congruent, and linear angles are supplementary, so we have ...

  ∠AOC + ∠COB + ∠BOD = 270°

  180° + ∠BOD = 270°

  ∠BOD = 90°

Since the lines cross at right angles, all of the angles are 90°.

Answer:

k=4/5

Step-by-step explanation:

(-k+2)/(1-2k) = -2   ( using the slope formula (y2-y1)/(x2-x1)  )

-k+2 = -2 (1-2k)

-k+2 = -2 + 4k

2= -2 +5k

4 = 5k

k=4/5

Answer:

Step-by-step explanation:

To find k use the formula for finding the slope of a line and equate it to the slope which is - 2

So we have

(2k, -2) and (1, - k)

[tex] - 2 = \frac{ - k + 2}{1 - 2k} [/tex]

Cross multiply

That's

- 2( 1 - 2k ) = - k + 2

Expand and simplify

- 2 + 4k = - k + 2

Group like terms

4k + k = 2 + 2

5k = 4

Divide both sides by 5

k = 4/5

Hope this helps you

Answer:

Standard form: [tex]x^3+3x^2-x-3[/tex]

Leading coefficient: 1

Step-by-step explanation:

[tex]3x^2-x-3+x^3=\\x^3+3x^2-x-3[/tex]

The leading coefficient is 1 because the leading term is [tex]x^3[/tex].

Answer:

180 - 133

Step-by-step explanation:

Answer:

x = 47 degrees

Step-by-step explanation:

Solve for X:

x + 133 = 180

180 - 133 = 47

x = 47

Pens = 36y

Pencils 12y

This is because the cost of pens is 36 times however many pens you buy

The Sam Egeos for pencils except it’s 12 cents.

Answer:

C. 21 m

Step-by-step explanation:

As shown in the picture, we need to use tan∅ (opposite over adjacent) to solve for the height of the tree:

tan40° = h/25

25tan40° = h

h = 20.9775

h ≈ 21 m

Answer:

Factor (a+3)2−a(a+3)

3a+9

=3(a+3)

Answer:

3(a+3)

I hope this help :)

Answer:

(a+3)(3)

Step-by-step explanation:

(a+3)^2-a(a+3)

(a+3)(a+3)-a(a+3)

Factor (a+3)

(a+3)(a+3-a)

(a+3)(3)

Answer:

  B.  -5/4

Step-by-step explanation:

We're going to assume that you don't mean

  y = 45x -3

which has a perpendicular line with a slope of -1/45.

Rather, we're going to assume that you mean

  y = 4/5x -3

so that the slope of the perpendicular line is -5/4.

__

Similarly, we're going to assume that the answer choices are supposed to represent fractions, so that the above slope matches choice B.

_____

If the slope of a line is m, the slope of the perpendicular line is -1/m. The reciprocal of a fraction is the fraction that has numerator and denominator swapped. -1/(4/5) = -5/4.

Answer:

1/3 min ( = 20 seconds)

Step-by-step explanation:

The period of the ride is the time he takes to complete 1 revolution

We are given:

12 revolutions -------> takes 4 min

1 revolution ------> takes 4/12 = 1/3 min  (= 20 seconds)