The sum of three consecutive numbers is -12. Find the sum of the integers?

Step-by-step explanation:

\( \frac{3}{8} \times \frac{1}{2} \)

3×1= 3

---

8×2=16

thus your answer is

\( \frac{3}{16} \)

Hope this helped you- have a good day brocya)

Answer:

\(\frac{3}{16}\)

Step-by-step explanation:

Hey there,

\(\frac{3}{8} *\frac{1}{2} \\\)

\(\frac{3*1}{8*2}\)

\(\frac{3}{16}\)

Hope this helps you.

Let me know if you have any other questions:-)

By trigonometric formulas, there are two solution sets for the trigonometric equation 2 · cos β = - √(3 · cos β) + sin β + 2 · cos β: β₁ ≈ 0.402π + 2π · k, β₂ = - 0.402π - 2π · k, where k is an integer.

In this problem we find the case of a trigonometric equation, whose roots must be found by algebra properties and trigonometric formulas. First, write the complete expression:

2 · cos β = - √(3 · cos β) + sin β + 2 · cos β

Second, simplify the expression by algebra properties:

√(3 · cos β) = sin β

Third, square both sides and simplify the expression:

3 · cos β = sin² β

3 · cos β = 1 - cos² β

cos² β + 3 · cos β - 1

Fourth, factor the resulting expression:

(cos β - 0.303) · (cos β + 3.303)

Fifth, determine the set of solutions:

cos β = 0.303

β₁ ≈ 0.402π + 2π · k, β₂ = - 0.402π - 2π · k, where k is an integer.

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Answer:

4 side is the answer I am sure

Answer:

None.

Step-by-step explanation:

I assume we are talking about a regular heptagon.

This has 7 sides and 7 internal angles.

Each internal angle = 180 - (360/7) = 128.6 degrees which is an obtuse angle.

There are 60 seconds in a minute and 60 minutes in an hour. To find the total number of instructions the computer can perform in an hour, we need to multiply the number of instructions per second by the number of seconds in an hour.

Number of seconds in an hour = 60 seconds/minute × 60 minutes/hour = 3600 seconds/hour

Total number of instructions per hour = instructions per second × seconds per hour

= 4.66 × 10^8 instructions/second × 3600 seconds/hour

= 1.6776 × 10^12 instructions/hour

Therefore, the computer can perform 1.6776 x 10^12 instructions per hour.

Answer:

To find the mean, add up the values in the data set and then divide by the number of values that you added. To find the median, list the values of the data set in numerical order and identify which value appears in the middle of the list. To find the mode, identify which value in the data set occurs most often.

Answer: around 63.3

Step-by-step explanation: you need to find how much they traveled first (380) & then divided that by the other number (6). then you get somewhere around 63.3 . :))

Answer:

63.3

Step-by-step explanation:

Step-by-step explanation:

hand towel is $5

bath towel is $9

Answer:

Step-by-step explanation:

\( \mathsf{ 12 {p}^{2} q - 9 {q}^{2} }\)

In such an expression, the factor which is present in all terms of the expression is taken out as common and each term of the expression should be divided by the common factor to get another factor.

Factor out 3q from the expression

\( \mathsf{ = 3q(4 {p}^{2} - 3q)}\)

Hope I helped!

Best regards!

Factorization of 12p²q-9q² is  3q(4p²-3q).

Factorization is defined as breaking an entity into a product of another entity, or factors, which when multiplied together give the original number.

Here, given expression is,   12p²q-9q²

Now, by factorizing this we get,

3q(4p²-3q)

Hence, required factorization is 3q(4p²-3q)

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B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Given that two sides have lengths 6 and 9, we can analyze the possibilities:

6 + 9 > x

x > 15 - The sum of the two known sides is greater than any possible third side.

6 + x > 9

x > 3 - The length of the unknown side must be greater than the difference between the two known sides.

9 + x > 6

x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.

Based on the analysis, the possible values for the length of the third side are:

A. 7

C. 4

□E. 10

O F. 12

B. 2 and OD. 15 are not possible lengths for the third side of the triangle.

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Answer:

50% of the Basketball team is over 6 feet

Step-by-step explanation:

So half of 20 is 10 and if half is over 6 feet then it is 50% because 50% is half of 100% which equals the whole team. Sorry I'm really bad at explaining.

Answer:

can you put a picture on it please and then i will help

Step-by-step explanation:

Answer:

200 meters

Step-by-step explanation:

If the ratio is 5 inches to 20 meters that means for every 5 inches in the model there will be 20 meters on the real ship.

If the model is 50 inches long that means that there are 10 5 inch segments, multiply this 10 by the 20 meters in the ratio and you will get 200 meters as the final length for the ship.

The vectors u = \(\left(\begin{array}{ccc}Cost\\Sint\end{array}\right)\)     ,   v = \(\left(\begin{array}{ccc}Sint\\Cost\end{array}\right)\), are linearly independent, because the determinant is not 0.

The Vector "u" is =  \(\left(\begin{array}{ccc}Cost\\Sint\end{array}\right)\) , and the vector "v" is =  \(\left(\begin{array}{ccc}Sint\\Cost\end{array}\right)\).

If the value of matrix formed by two or more given vectors is zero(0) or

If determinant of matrix of given vectors is (0) zero, then the vectors can be called as linearly-dependent.

The matrix related to two vector "u" and vector "v" is given as :

⇒ \(\left[\begin{array}{ccc}Cost&Sint\\Sint&Cost\\\end{array}\right]\)

The value of this matrix can be calculated by finding the determinant of the matrix,

Which is : Cost×Cost - Sint×Sint

= Cos²t - Sin²t

= Cos(2t) ≠ 0,

Since the value is not zero, we can say that the vectors are linearly independent.

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The given question is incomplete, the complete question is

Determine whether or not the vector functions are linearly dependent.

u = \(\left(\begin{array}{ccc}Cost\\Sint\end{array}\right)\)     ,   v = \(\left(\begin{array}{ccc}Sint\\Cost\end{array}\right)\).

Answer:

\(\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.\)

Step-by-step explanation:

5y + 12 = \(\frac{-8}{y}\)

y*(5y+12)=-8

5\(y^{2}\) + 12y = -8

5\(y^{2}\) + 12y + 8 = 0

Δ(Delta) = \(b^{2}\) - 4ac

= \(12^{2}\) - 4*5*8

= -16

Δ<0

therefore we have complex number

y = \(\frac{-b}{2a}\) ± \(\frac{\sqrt{|Delta|} }{2a}\)

\(\left \{ {{y1=-1.2+0.4i} \atop {y2=-1.2-0.4i}} \right.\)

Answer:

x = -7

Step-by-step explanation:

Given parameters:

Slope of the line = \(\frac{4}{3}\)

 Coordinates =  (5,x) and (2,-3)

Unknown:

X= ?

Solution:

  To find slope, use the expression below;

   Slope  = \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\)

y₂ = -3  y₁ = x

x₂ = 2   x₁ = 5

   \(\frac{4}{3}\)  = \(\frac{-3 - x}{2 - 5}\)

           3(-3-x) = 4(-3)

            -9 -3x = 12

                -3x = 21

                  x = -7

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

What is Normal Distribution?

An example of a continuous probability distribution is the normal distribution, in which the majority of data points cluster in the middle of the range while the remaining ones taper off symmetrically toward either extreme. The distribution's mean is another name for the center of the range.

Reason:

The number of trials n in the binomial setting and the constant success probability p for each of these trials decide the proper normal distribution to choose. Our binomial variable has a mean of np and a standard deviation of (np(1 - p)0.5, which approximates a normal distribution.

It can be demonstrated using simple mathematics that there are a few circumstances in which we must apply a normal approximation to the binomial distribution. To ensure that both np and n(1 - p) are higher than or equal to 10, the number of observations n must be sufficient, as must the value of p. This is a generalization that is supported by statistical theory. The standard approximation can always be used, however it may not be a very accurate approximation if these requirements are not met.

The normal approximation for the distribution of (outcome - point spread is (np(1 - p)0.5

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Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

white sold = 16

yellow sold = 12

Step-by-step explanation:

w = # of white sold

y = # of yellow sold

w + y = 28   solve this for w

w = 28 - y

9.95w + 13.5y = 321.20     substitute w = 28-y into this expression and solve for y

9.95(28-y) + 13.5y = 321.20

278.60 - 9.95y + 13.50y = 321.20

278.60 + 3.55y = 321.20

3.55y = 321.20 - 278.60 = 42.60

y = 42.60/3.55 = 12   substitute this into w = 28 - y and solve for w

w = 28 - 12 = 16

Answer:

Height of the cylinder = 15

Step-by-step explanation:

According to the question, TSA=968

TSA of cylinder=2π r (r+h2*22 / 7*7 (7+h) = 968

2*22 (7+h) = 968

(7+h) = 968/44

7+h=22

h = 22-7

= 15 cm

Answer:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

Step-by-step explanation:

10 bread rolls requires 500g of flour.

Eli uses 600g of flour which is 1.2 times the amount needed for 10 bread rolls.

This means that 1.2 * 10 bread rolls are made which is 12 bread rolls.

Multiply the remaining ingredients by 1.2:

500 g flour = 600 g

6*1.2 g salt = 7.2 g

12*1.2 g yeast = 14.4 g

30 mL oil = 36 mL

360 mL water = 432 mL

The quantities that are less than 16 cups are: 6 pints (A) and 3 quarts (E).

let's convert each option to cups:

A. 6 pints: There are 2 cups in a pint, so 6 pints × 2 cups/pint = 12 cups.

B. 1 gallon: There are 16 cups in a gallon, so 1 gallon = 16 cups.

C. 5 quarts: There are 4 cups in a quart, so 5 quarts × 4 cups/quart = 20 cups.

D. 8 pints: There are 2 cups in a pint, so 8 pints × 2 cups/pint = 16 cups.

E. 3 quarts: There are 4 cups in a quart, so 3 quarts × 4 cups/quart = 12 cups.

Now, let's see which options are less than 16 cups:

A. 6 pints: 12 cups (less than 16 cups)

B. 1 gallon: 16 cups (not less than 16 cups)

C. 5 quarts: 20 cups (not less than 16 cups)

D. 8 pints: 16 cups (not less than 16 cups)

E. 3 quarts: 12 cups (less than 16 cups)

So, the quantities that are less than 16 cups are: 6 pints (A) and 3 quarts (E).

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The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

To find the range, we need to subtract the smallest number from the largest number in the sample. So, the range is:

94 - 15 = 79

To find the sample variance and standard deviation, we first need to find the mean of the sample. We can do this by adding up all the numbers and dividing by the total number of players:

(33 + 74 + 70 + 65 + 56 + 47 + 39 + 72 + 57 + 94 + 15) / 11 = 54.18

Next, we need to find the difference between each number and the mean, square them, and add them up. This gives us the sum of squares:

[(33 - 54.18)^2 + (74 - 54.18)^2 + (70 - 54.18)^2 + (65 - 54.18)^2 + (56 - 54.18)^2 + (47 - 54.18)^2 + (39 - 54.18)^2 + (72 - 54.18)^2 + (57 - 54.18)^2 + (94 - 54.18)^2 + (15 - 54.18)^2] = 15864.4

The sample variance is then calculated by dividing the sum of squares by the total number of players minus one:

15864.4 / 10 = 1586.44

Finally, we can calculate the sample standard deviation by taking the square root of the variance:

√1586.44 ≈ 39.83

The results tell us that jersey numbers on a football team vary much more than expected, as evidenced by the large range and standard deviation. The sample variance is also relatively high, indicating that there is a fair amount of variability among the jersey numbers in the sample. These statistics are meaningful and can provide insight into the distribution of jersey numbers on the team.

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Answer:

yes

Step-by-step explanation:

The answer is -28

We're asked to multiply 4 by -7

The multiplication is straight forward, the first number is a positive integer and the second number is a negative integer

4 × (-7)

= -28

Hence the multiplication of both numbers will give -28

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Your question has been heard loud and clear.

M1 = 2kg , M2=2kg , V1=10m/s V2=5m/s

Total momentum before collision = M1V1+M2V2 = 2*10 + 2*5 = 30kgm/s  

Now , by law of conservation of momentum ,

Total momentum before collision = total momentum after collision

Therefore , total momentum of objects before and after collision = 30kgm/s

Thank you

The equation representing the relation of x and y for the given values and condition is given by option c. y = one-third x .

x and y vary directly,

This implies,

y ∝x

⇒y = kx

where k is the constant of proportionality.

Using the given values x = 18 and y = 6a, we can solve for k,

⇒6a = k(18)

⇒k = 6a/18

⇒k = a/3

Substituting this value of k into the equation y = kx, we get,

⇒y = (a/3)x

We can simplify this equation as,

⇒y = (1/3)ax

Let us consider the value of a = 1.

Therefore, the equation that relates x and y when x and y vary directly for the values x = 18, y = 6a is  option c. y = (1/3)x.

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Answer:

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Step-by-step explanation:

Let

x = minutes of Tori's podcast

y = minutes of Wendy's podcast

40x + 16y = 5,584 (1)

27x + 11y = 3,795 (2)

Multiply (1) by 11 and (2) by 16

440x + 176y = 61,424 (3)

432x + 176y = 60,720 (4)

Subtract (4) from (3) to eliminate y

440x - 432x = 61,424 - 60,720

8x = 704

x = 704/8

x = 88

Substitute x = 88 into (1)

40x + 16y = 5,584 (1)

40(88) + 16y = 5,584

3,520 + 16y = 5,584

16y = 5,584 - 3,520

16y = 2,064

y = 2,064/16

y = 129

x = minutes of Tori's podcast = 88 minutes

y = minutes of Wendy's podcast = 129 minutes

Answer:

10 belts

Step-by-step explanation:

6.5 meters of cord / 0.625 meters per belt = 10.4 belts

Because 0.4 meters of cord is not enough for a belt, the answer is 10.