in long division 42 divided by 966

Answer:-2.3,11.,11.,-0.25 or  x2 - 10x - 25- -5

Step-by-step explanation:

u just go in a TI-nspire CX calculator and type in in how it looks

The money the carnival committee expects to pay for prizes for that booth is $447.5

In previous years, they've discovered that 28% of students win a stuffed toy ($3.65).

14% of students win a jump rope ($1.20).

8% of students win a t-shirt ($7.50) at a booth at the school carnival.

There is no award for the remaining students. How much money should the carnival committee anticipate spending on prizes for that booth if 250 kids participate in the game at the booth.

percentage of students win a stuffed toy ( $3.65 ) = 28%

percentage of students win a jump rope ( $1.20 ) = 14%

percentage of students win a t-shirt ( $7.50 ) = 8%

Given 250 students playing the game.

Out of 250, 28% win a stuffed toy;

                        = 250 * (28/100)

                        = 70

                    14% win a jump rope;

                        = 250 * (14/100)

                        = 35

                    8% win a t-shirt;

                        = 250 * (8/100)

                        = 20

According to the total number of products sold for each quantity;

Amount of money the carnival committee expects to pay for prizes for that booth;

= ($3.65 * 70) + ($1.20 * 35) + ($7.50 * 20)

= 255.5 + 42 + 150

= $447.5

The money the carnival committee expects to pay for prizes for that booth is $447.5.

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given that for all numbers of p and q,

q = 5/3p + 46

lets find p when q is 21

so lets substitute the value of q into the given equation

q = 5/3p + 46

21 = 5/3p + 46

lets collect like terms

21 - 46 = 5/3p

-25 = 5/3p

lets cross multiply

3 X -25 = 5p

-75 = 5p

5p = -75

divide both sides by 5

5p/5 = -75/5

p = -15

therefore for all values of p and q, q = 5/3p + 46,

the value of p is -15 when q is 21

Answer:

0.3 kg

Step-by-step explanation:

I hope it helps, have a good day

Answer:

0.3kg

Step-by-step explanation:

Divide the biggest amount by 1000

300÷1000=0.3

Answer:110.5inches2

Step-by-step explanation:

to find the area of a triangle use the formula 1/2(base times height) where in this case  base is 17 and height is 13. applying this formula= 1/2(17x13)=1/2(221)=110.5inches2

Answer:

infinite solutions

Step-by-step explanation:

Multiply the first equation by 2

2(3x-5y) = 2*15

6x - 10y = 30

This is the same as the second equation

They are the same line

This means there are infinite solutions

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

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Answer:

i am not to sure but if i am corroct it IS polynomial

Step-by-step explanation:

hope this helps

The angle bisector theorem states that a triangle's opposite side is divided into two halves by an angle bisector that is proportional to the triangle's other two sides.

A point on a perpendicular bisector is equidistant from the endpoints of the segment it intersects, therefore if mACD = 90°, point D is equidistant from points A and B.

Any point on the perpendicular bisector is simply equal distance from both endpoints of the line segment on which it is drawn, according to the perpendicular bisector theorem.

The answer is that point  is equidistant from points A and B because a point on a perpendicular bisector is equidistant from the endpoints of the segment it makes up. Therefore, if a pillar is stationed at the middle of a bridge at an angle, all the points on the pillar will be equidistant from the end points of the bridge intersects.

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Answer:

x=28

Step-by-step explanation:

I am assuming the mean is arithmetic mean. So we first add up the numbers:

6+10+12+18+16+x

=22+10+30+x

=22+40+x

=62+x

Then since there's 6 numbers in total, we have an equation:

\(\frac{62+x}{6}=15\\62+x=90\\x=28\)

The answer is 28!

Have a nice day! :)

Answer:

3x2y(3x2−2xy+y2) So C

Step-by-step explanation:

The solution of the following equations are:

1. the index of the matrix A is 3.

2. The matrix A^3 = O, so its index is 3.

3. For index 3: [0 1 0; 0 0 1; 0 0 0].

4. For index 4: [0 1 0 0; 0 0 1 0; 0 0 0 1; 0 0 0 0].

5. A nilpotent matrix of index 5 can be obtained by using a 5x5 matrix with all entries equal to zero, except for the entry in the (1,5) position, which is 1.
6. the determinant of a nilpotent matrix is always zero, the matrix cannot be invertible.
7.  When A is nilpotent, A^T is also nilpotent.

8. If A is nilpotent, then I-A is invertible.

1. The index of a nilpotent matrix is the smallest positive integer k for which A^k = O, where O represents the zero matrix. In the given example, A^3 = O.

2. To determine if the matrices are nilpotent and find their indices, you can raise each matrix to increasing powers until you obtain the zero matrix.

(a) [0 0; 1 0]: The matrix A^2 = O, so its index is 2.
(b) [0 1; 1 0]: The matrix A^2 = O, so its index is 2.
(c) [0 1; 0 0]: The matrix A^3 = O, so its index is 3.
(d) [1 1; 0 0]: The matrix A^2 = O, so its index is 2.
(e) [0 0 0; 0 0 0; 1 0 0]: The matrix A^4 = O, so its index is 4.
(f) [0 1 1; 0 0 1; 0 0 0]:

3. To find 3x3 nilpotent matrices of indices 2 and 3, you can use the following matrices:
For index 2: [0 1 0; 0 0 0; 0 0 0]


4. To find 4x4 nilpotent matrices of indices 2, 3, and 4, you can use the following matrices:
For index 2: [0 1 0 0; 0 0 0 0; 0 0 0 0; 0 0 0 0]
For index 3: [0 1 0 0; 0 0 1 0; 0 0 0 0; 0 0 0 0]


6. Nilpotent matrices are not invertible. This can be proven by considering the determinant of a nilpotent matrix.

7. This can be proven by using the properties of matrix transpose and the fact that (A^T)^k = (A^k)^T.

8. This can be proven by considering the determinant of (I-A). Since the determinant of (I-A) is not zero, the matrix (I-A) is invertible.

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If there are 54 winning tickets and the probability of winning is 3.0%, the total number of tickets sold for the raffle would be 1800.

When there is a 12.5% chance of winning, we may apply the following formula to determine the number of winning raffle tickets:

Probability of winning divided by the total number of tickets equals the number of winning tickets.

Consequently, the number of winning tickets in this instance would be:

400 winning tickets are equal to 0.125 * 3200 winning tickets.

There would be 400 winning raffle tickets out of 3200 if the chance of winning is 12.5%.

Now that 54 winning tickets have been drawn and the likelihood of winning is 3.0%, let's determine the total number of raffle tickets sold. Using the identical formula:

Total number of sold tickets is the number of winning tickets divided by the chance of winning.

54 tickets sold out of a total of 1800 tickets sold.

Therefore, If there are 54 winning tickets and the probability of winning is 3.0%, the total number of tickets sold for the raffle would be 1800.

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The radius of each of the smaller molds is r = 1/3 ft. Using the volume of the given hemisphere, the required radius is calculated.

The volume of the hemisphere is calculated by using the formula,

= \(\frac{2}{3}\) × π × r³ cubic units

where r is the radius of the hemisphere.

It is given that,

A hemisphere-shaped bowl with a radius r = 1 ft is filled with chocolate.

So, the volume of the bowl is

V =  \(\frac{2}{3}\) × π × (1)³

  =  \(\frac{2}{3}\) × π cubic feets

The volume of each smaller hemisphere-shaped mold =  \(\frac{2}{3}\) × π × r³ cubic units

So, for 27 molds, the volume = 27 × \(\frac{2}{3}\) × π × r³ cubic units

All of the chocolate is then evenly distributed between 27 congruent, smaller hemisphere-shaped molds.

Then,

\(\frac{2}{3}\) × π = 27 × \(\frac{2}{3}\) × π × r³

⇒ r³ = 1/27

⇒ r = 1/3 ft

Therefore, the required radius of each of the smaller molds is 1/3 foot.

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The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

The greatest common divisor (GCD), also known as the highest common factor (HCF), of two or more integers is the largest positive integer that divides each of the integers without a remainder.

To find the GCD we need to write each number as a product of prime factorization and then we need to find out the common factors which is greatest among them.

a) 10 = 2 × 5,

11 is prime

GCD(10, 11) = 1 (no common factors)

b) 21 = 3 × 7,

44 = 2 × 2 × 11

GCD(21, 44) = 1 (no common factors)

c) 36 = 2 × 2× 3 × 3

48 = 2 × 2 × 2 × 2 × 3

GCD(36, 48) = 2 × 2 × 3 = 12

d) 34 = 2  × 17,

55 = 5 × 11

GCD(34, 55) = 1 (no common factors)

e) 117 = 3 × 3 × 13,

213 = 3 × 71

GCD(117, 213) = 3

f) 0 is not a positive integer, so it doesn't have a prime factorization.

g) 123 = 3 × 41, 2347 is prime

GCD(123, 2347) = 1 (no common factors)

h) 3454 = 2 × 1727,

4666 = 2 × 2333

GCD(3454, 4666) = 2

i) 9999 = 3 × 3 × 11 × 101,

11111 = 41 × 271

GCD(9999, 11111) = 1 (no common factors)

Therefore,

The greatest common divisor of each of these pairs of integers are

a) 1    b)  1    c) 12   d)  1     e)  3   g)  1     h)  2    i) 1  

f) 0 is not a positive integer, so it doesn't have a prime factorization.

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Answer:

26.3

Step-by-step explanation:

the first guy was close, for those of you who struggle with acellus im here to help haha

The solution to the system of inequalities is x ∈ (-5/2, 5/2), which means x is any value between -5/2 and 5/2, exclusive of the endpoints.

The correct answer is option E.

To solve the inequalities, let's solve each one separately:

1) 4x - 39 > -49:

Add 39 to both sides of the inequality:

4x - 39 + 39 > -49 + 39

4x > -10

Divide both sides of the inequality by 4 (since the coefficient of x is 4 and we want to isolate x):

4x/4 > -10/4

x > -10/4

x > -5/2

So the solution to the first inequality is x > -5/2.

2) 8x + 3 < 23:

Subtract 3 from both sides of the inequality:

8x + 3 - 3 < 23 - 3

8x < 20

Divide both sides of the inequality by 8 (since the coefficient of x is 8 and we want to isolate x):

8x/8 < 20/8

x < 5/2

So the solution to the second inequality is x < 5/2.

Now, let's analyze the solutions to both inequalities:

From the first inequality, we found that x > -5/2, which means x is greater than -5/2.

From the second inequality, we found that x < 5/2, which means x is less than 5/2.

Combining these results, we can say that x must be greater than -5/2 but less than 5/2. In interval notation, this can be written as (-5/2, 5/2).

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The question probable may be:

4x- 39> -49 and 8x+ 3< 23 solve for x:  

A. x< -1 or x>-1

B. x<-1

C. There are no solutions

D. all the values of x  are solutions

E. None of the above

Answer:

\( \rm x = - 7 \pm \sqrt{11} \)

Step-by-step explanation:

Solve for x over the real numbers:

\( \longrightarrow \) x² + 14x + 38 = 0

Subtract 38 from both sides:

\( \longrightarrow \) x² + 14x + 38 - 38 = 0 - 38

\( \longrightarrow \) x² + 14x = -38

Add 49 to both sides:

\( \longrightarrow \) x² + 14x + 49 = 49 - 38

\( \longrightarrow \) x² + 14x + 49 = 11

Write the left hand side as a square:

\( \longrightarrow \) x² + 7x + 7x + 49 = 11

\( \longrightarrow \) x(x + 7) + 7(x + 7) = 11

\( \longrightarrow \) (x + 7)(x + 7) = 11

\( \longrightarrow \) (x + 7)² = 11

Take the square root of both sides:

\( \longrightarrow \) \( \sf \sqrt{{(x + 7)}^{2}} = \pm \sqrt{11} \)

\( \longrightarrow \) \( \sf x + 7 = \pm \sqrt{11} \)

Subtract 7 from both sides:

\( \longrightarrow \) \( \sf x = - 7 \pm \sqrt{11} \)

Answer:

y-intercept= 12.99      slope= 15.00x+12.99

Step-by-step explanation:

The equation of the plane orthogonal to the line (x, y, z) = (9, 5, 7) + t(-2, -4, 4) and passing through the point (5, 7, 9) can be written as -2x - 4y + 4z = 36.

To find the equation of a plane orthogonal (perpendicular) to a line, we need a direction vector of the line and a point that lies on the plane. In this case, the given line has a direction vector of (-2, -4, 4) and passes through the point (9, 5, 7).

We can start by finding a normal vector to the plane by taking the cross product of the direction vector of the line and a vector formed by subtracting the given point (5, 7, 9) from any point on the line (9, 5, 7). The cross product of (-2, -4, 4) and (4, 2, 2) gives us a normal vector of (4, 0, 0).

Using the normal vector (4, 0, 0) and the coordinates of the point (5, 7, 9), we can write the equation of the plane in the form ax + by + cz = d. Plugging in the values, we get -2x - 4y + 4z = 36.

Therefore, the equation of the plane orthogonal to the given line and passing through the point (5, 7, 9) is -2x - 4y + 4z = 36.

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Answer: From what I understand you want me to do 7*(-15)??? and the answer to that is -105.

Step-by-step explanation: All you have to do is 7*-15  

Answer:

V = 56 cm^3

Step-by-step explanation:

Volume is given by

V = l*w*h where l is length w is width and h is height

V = 7*4*2

V = 56 cm^3

Answer:56

Step-by-step explanation:

The formula for a rectangular prism is V=whl

V=(7)(4)(2)

7 times 4 is 28

28 times 2 is 56

Using area of the rectangle, we can find that the new flower garden will be 13m in length (greater dimension).

The formula for calculating a rectangle's area can be used to determine how much space the rectangle takes up within its perimeter. Multiplying the length by the width yields the area of a rectangle (breadth).

As a result, the following formula can be used to determine the area of a rectangle whose length and breadth are "l" and "w," respectively. The rectangle's area is L × W. A rectangle's area is therefore equal to length * width.

Now here the dimensions of the rectangle are, l = 13m and b, = 9m.

Area of the rectangle is 13 × 9 = 117m².

Now the area of the rectangle is increased to 221m².

So, when we increase the length from 13 m to 17m and the breadth from 9m to 13m, we get area = 17 × 13 = 221m².

Therefore, length of the new garden will be 17m long.

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Answer:

1

Step-by-step explanation:

Anything (besides 0) to the 0 power is 1.

Answer:

Step-by-step explanation:

The GCF of 8 and 9 is 1

Divide both terms by the GCF, 1:

8 ÷ 1 = 8

9 ÷ 1 = 9

The ratio 8 : 9 cannot be reduced further by dividing both terms by the GCF = 1 :

This ratio is already in lowest terms.

Therefore:

8 : 9 = 8 : 9

Answer:

x = 12

Step-by-step explanation:

The consecutive angles in a parallelogram are supplementary, thus

7x - 12 + 108 = 180, that is

7x + 96 = 180 ( subtract 96 from both sides )

7x = 84 ( divide both sides by 7 )

x = 12

Let the original price = x

He paid 70% of the original price so 0.70x

This equaled $14:

SO the equation is 0.70x = 14

Solve for x by dividing both sides by 0.70:

x = 14/0.70

x = 20

The original price was $20

Answer:

Let the original price be x.

Joe paid $14.00 for a board game which is the 70% of the original price.

Therefore, the original price is

\(70\% \: of \: x = 14 \\ \frac{70}{100}x = 14 \\ x = \frac{14 \times 100}{70} \\ \boxed{ x = 20}\)

For the given angle of 69°, its complement is calculated as 90° - 69° = 21°.

An angle's complement is the angle that, when combined with the given angle, adds up to 90°. In this case, the given angle is 69°, so its complement is 90° - 69° = 21°.

To answer this question, we need to understand the definition of an angle's complement. An angle's complement is the angle that, when added to the given angle, forms a right angle. A right angle is an angle that measures 90°.

Using this definition, we can answer the question. The given angle is 69°, so its complement is 90° - 69° = 21°.

We can visualize this by thinking of a triangle and labeling the angles. Let's say we label the given angle as angle A, and its complement as angle B.

Since angle A + angle B = 90°, and angle A is 69°, angle B must be 21°. Therefore, the measure of the given angle's complement is 21°.

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