tony buys 6 packages of cookies. each package of cookies cost $2.50. how much will he spend ​

Answer:

surface area y is equal to 7cm.

rounding 0.0692494 to 3SF is 0.069

i. Range (A): The space spanned by the columns of matrix A. It represents all possible linear combinations of the columns of A.

ii. Null (A): The set of all vectors x such that Ax = 0. It represents the solutions to the homogeneous equation Ax = 0.

iii. Row (A): The space spanned by the rows of matrix A. It represents all possible linear combinations of the rows of A.

iv. Null (A): The set of all vectors y such that ATy = 0. It represents the solutions to the homogeneous equation ATy = 0.

The equation Ax = b has a solution only when b is in the Range (A). It has a unique solution only when the Null (A) contains only the zero vector.

The equation ATy = d has a solution only when d is in the Row (A). It has a unique solution only when the Null (A) contains only the zero vector.

Assuming the size of A is m × n:

When Ax = b has a unique solution, the space Null (A) must be equal to Rn. This means there are no non-zero vectors that satisfy Ax = 0, ensuring a unique solution.

When ATy = d has a unique solution, the space Null (AT) must be equal to Rm. This means there are no non-zero vectors that satisfy ATy = 0, ensuring a unique solution.

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The inequality \($uv^2 \leq (uv)^2$\) holds for any vectors u and v in \(R^2\). Equality holds when the vectors u and v are collinear or when one of them is the zero vector.

To prove the inequality \($uv^2 \leq (uv)^2$\), we can start by expressing the dot product of u and v in terms of their components. Let u = (\(u_1, u_2\)) and v = (\(v_1, v_2\)).

Then, the dot product of u and v is given by\(uv = u_1 v_1 + u_2 v_2\).

Now, consider the squared length of the projection of u onto v.

This can be calculated as \((uv)^2\) / \(||v||^2\), where ||v|| represents the length of vector v.

Since ||v||^2 = vv, we have \((uv)^2\) /\(||v||^2\) = \((uv)^2\) / (\($v \cdot v$\)).

On the other hand, the squared length of vector u can be expressed as \(u\cdot u = u1^2 + u2^2\).

Now, we can compare the two expressions: \(uv^2\) and \((uv)^2\) / (vv).

By substituting the expression for uv, we get \(uv^2\) = \((u_1 v_1 + u_2 v_2)^2\), and by substituting the expressions for \(||v||^2\) and uu, we get \((uv)^2\) / (vv) = (\(u_1^2 v_1^2 + u_2^2 v_2^2\)) / (\(v_1^2 + v_2^2\)).

It can be shown that \((u_1 v_1 + u_2 v_2)^2 \geq (u_1^2 v_1^2 + u_2^2 v_2^2)\) for any real numbers \(u_1, u_2, v_1, v_2\). Therefore, \(uv^2\) ≤ \((uv)^2\) / \((vv)\), which implies \(uv^2\) ≤ \((uv)^2\).

Equality holds in the inequality \($uv^2 \leq (uv)^2$\) when the vectors u and v are collinear or when one of them is the zero vector.

Geometrically, this inequality represents the fact that the squared length of the projection of vector u onto vector v is always less than or equal to the squared length of the projection of u onto v.

When the vectors are collinear, their projections coincide and the inequality becomes an equality. Similarly, when one of the vectors is the zero vector, its projection onto any other vector is zero, resulting in equality as well.

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The half-life of Potassium-42 can be calculated using the following formula:

t1/2 = (ln 2) / λ

where t1/2 is the half-life, ln is the natural logarithm, and λ is the decay rate.

Substituting the values given, we get:

t1/2 = (ln 2) / 0.055

t1/2 ≈ 12.6 hours

Therefore, the original quantity of Potassium-42 will be halved in approximately 12.6 hours.

It will take approximately 13.51 hours for the original quantity of potassium 42 to be halved with a decay rate of 5.5% per hour.

To find the number of hours it takes for potassium 42 to be halved with a decay rate of 5.5% per hour, we can use the formula:

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Answer:

x = 8

Step-by-step explanation:

The two sides equal each other

5x - 13 = x + 19  Subtract x from both sides

5x - x - 13 = x - x + 19

4x - 13 = 19  Add 13 to both sides

4x - 13 + 13 = 19 + 13

4x = 32  Divide both sides by 4

x = 8

Helping in the name of Jesus.

Answer: It is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043

Answer:

7x+11x=90

18x=90

x=5

one angle = 35 degrees

another angle = 55 degrees

Step-by-step explanation:

Step-by-step explanation:

1. Given

2. distribute 5 to x-2

3. subtract 2x from both sides

4. add 10 to both sides

5. divide both sides by 3

Answer:

Given: An Angle in the figure is right angle. Its measure = 90°

So,

∠2 = 90° ( vertically opposite angles are equal )

∠1 + ∠2 = 180° ( Linear Pair )

∠1 = 180 - 90

∠1 = 90°

So, ∠1 and ∠2 are

Right angles because measure of both angles are 90°.

Adjacent angles because both a common arm and a common vertex.

Supplementary angles because sum of both angles is 180°.

Step-by-step explanation:

Answer:

Rs.170000

Step-by-step explanation:

Given data

Cost price of bike= Rs 200000

Time= 1 year

Rate of depreciation= 15%

Let us apply the formula for depreciation

A=P(1-r)^t

A= 200000(1-0.15)^1

A= 200000(0.85)^1

A= 200000*(0.85)^1

A= 200000*(0.85)

A=Rs.170000

Hence the value of the bike will be Rs.170000

Answer:

I know the correct ones!

Step-by-step explanation:

28 to 12, 63 to 27, 56 to 24

Answer:

its B C and D

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Answer: A) 3\8

Explanation..

A-0.375

B-0.6666...

C-0.6666...

D-0.777777...

A terminating decimal is a decimal with an end-digit

Also a repeating decimal is a decimal (that repeats)

Ex. 3.8767676767..

Step-by-step explanation:

I got Y=-12/11-3

The only other answer it could be is the last one since perpendicular lines have negative reciprocal slopes and none of the other answer choices have negative reciprocal slopes.

Answer: Vegan student gets 9/5 cheese slices

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

Step-by-step explanation:

6 slices of Pepperoni + 3 slices of cheese = 9 slices total.  We need to divide the slices among 5 students, 1 is vegan.

9 divided by 5 = 1 and 4/5 slices or  9/5 slices.

The 9 slices make 45/5 slices.

3 slices of cheese = 15/5 slices.

6 slices of pepperoni = 30/5 slices.

Vegan student gets 9/5 cheese slices. Leaving 6/5 slices or 12/10 slices of cheese, 12/10 divided by 4=3/10

The rest of the 4 students get each: 5/5 slices of pepperoni + 1/2 slice of Pepperoni + 3/10 slice of cheese.

5/5=10/10, 1/2=5/10, 3/10  

10/10 + 5/10 + 3/10 = 18/10=9/5 slices each person.

Answer:

8/10, 12/15, 16/20

Step-by-step explanation:

9514 1404 393

Answer:

  \(\begin{cases}3x+12&\text{if }x>-4\\0&\text{if }x=-4\\-3x-12&\text{if }x<-4\end{cases}\)

Step-by-step explanation:

The absolute value function negates its argument when its argument is negative. The expression 3x+12 will be negative when ...

  3x +12 < 0

  x +4 < 0

  x < -4 . . . . . makes the absolute value function change its argument's sign

Using this fact, we can divide the domain into intervals below -4, at -4, and above -4. The above answer shows the function value in each domain interval.

According to the given table, the y-values are triple than x-values except by the last pair (5,25), this means the table does not represents a proportional relationship because the last pair doesn't follow.

Hence, the answer is False.

The remainder when (x³ + 3x²+3x +1) is divided by (2x+1) by using the remainder theorem is 1/8.

Given that, the polynomials are x³ + 3x²+3x +1 and 2x+1.

According to the remainder theorem, when a polynomial p(x) is divided by a linear polynomial q(x) whose zero is x = a, the remainder is given by r = p(a). The remainder theorem enables us to calculate the remainder of the division of any polynomial by a linear polynomial, without actually carrying out the steps of the long division.

Here, 2x+1=0

x=-1/2

Put x=-1/2 in x³ + 3x²+3x +1 and simplify. That is,

(-1/2)³+3(-1/2)²+3(-1/2)+1

= -1/8+3/4-3/2+1

= -1/8+6/8-12/8+8/8

= (-1+6-12+8)/8

= 1/8

Therefore, the remainder when (x³ + 3x²+3x +1) is divided by (2x+1) by using the remainder theorem is 1/8.

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The rate of change of the function is -4, as the change in y (from 15 to 11 and then to 7) is -4 for each unit change in x (from 1 to 2 and then to 3).

A unit is a standard measure of a quantity. It is a normalized quantity used as a reference to compare other measurements. Units are used in mathematics, science, engineering, and many other disciplines. The most common units of measure are length, mass, volume, time, and temperature. Other quantities, such as electric current and light intensity, also have their own units. Units are important because they provide an easy way to express the size and type of a measurement.

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The probability that both of his kids are boys are 1/3.

If a man has 2 kids, the possible combinations of kids are:

There are 4 possible combinations of the sexes of the two kids.

The fourth possibility is impossible, because one of the kids is a boy. So it can't be both girls. Then the possible combinations are:

The number of combinations of the both kids are boys = 1

The number of combinations that minimum one kid is boy = 3

Then the probability that both of kids are boys are:

\(P_{both boy}=\frac{both boy}{minimal one boy} \\P_{both boy}=\frac{1}{3} \\\)

So the probability both of kids are boy is 1/3.

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According to the question The graphs of the equations intersect at two points: (6, 8) and (-2, 0).

To find the total number of points of intersection between the graphs of the equations \($2x^2 - y^2 = 8$\) and \($y = x + 2$\) , we need to solve the system of equations.

Substituting \($y$\) from the second equation into the first equation, we get:

\(\[2x^2 - (x+2)^2 = 8\]\)

Expanding and simplifying:

\(\[2x^2 - (x^2 + 4x + 4) = 8\]\)

\(\[2x^2 - x^2 - 4x - 4 = 8\]\)

\(\[x^2 - 4x - 12 = 0\]\)

Factoring the quadratic equation, we have:

\(\[(x - 6)(x + 2) = 0\]\)

Setting each factor equal to zero:

\(\[x - 6 = 0 \quad \text{or} \quad x + 2 = 0\]\)

Solving for \($x$\) :

\(\[x = 6 \quad \text{or} \quad x = -2\]\)

Now, substituting these values of \($x$\) back into the equation \($y = x + 2$\)  to find the corresponding \($y$\) values:

When \(\\$x = 6$, $y = 6 + 2 = 8$\).

When \(\\$x = -2$, $y = -2 + 2 = 0$\).

Therefore, the graphs of the equations intersect at two points: (6, 8) and (-2, 0).

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Answer:

The answer is D.

Step-by-step explanation:

Semi-monthly means every half month, you will get paid once. So each month you will get paid twice.

Answer:

y=mx+b

Step-by-step explanation:

Answer:

a:c= 3/5 = 0.6

a:b:c= 3/4/5=0.15

The better buy is given by the following brand:

Brand A.

The better buy is obtained applying the proportions in the context of the problem.

A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.

Then the better buy is given by the option with the lowest cost per ounce.

The cost per ounce for each brand is given as follows:

$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.

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Answer: C.

Step-by-step explanation:

Ur getting paid for both per month. So you would add the together.

Then they had to be greater then or equal to 100.

The correct answer to the inequality representing how much you want to earn from tutoring Math and English is '15x + 10y ≥ 100', where 'x' and 'y' represent the hours you spend tutoring Math and English, respectively, multiplied by their respective rates. You aim to earn at least $100, so the total should be equal to or exceed $100.

The question is about inequalities that represent the money you want to earn from tutoring in Math and English. 'x' represents tutoring hours in Math and 'y' represents tutoring hours in English.

We multiply these by their respective rates ($15 for Math and $10 for English) and sum them up. As you want to earn at least $100, this sum should be equal to or greater than $100.

Therefore, the correct inequality that represents this scenario is 15x + 10y ≥ 100 since you're adding, not subtracting, the possible earnings from each subject and that total needs to be greater than or equal to your desired weekly wage of $100.

So, the correct answer is C: 15x + 10y ≥ 100.

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The values of sinF and sinG are 0.96 and 0.28 respectively.

Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle.

The ratios of sides of a right-angled triangle with respect to any of its acute angles are known as the trigonometric ratios of that particular angle.

The functions are;

sinθ = opp/hyp

cosθ = adj/hyp

tanθ = opp/adj

Taking reference from angle F , 96 is the opposite and 28 is the adjascent, therefore;

sinF = 96/100 = 0.96

Taking reference from angle G, 96 is the adjascent and 28 is the opposite

sin G = 28/100

sin G = 0.28

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Driving from North Carolina to Florida at an average speed of 70 mph takes about 7 hours and 12 minutes.

Velocity is a term used to describe how fast an object is moving in a particular direction. It is measured as distance traveled in a period of time and is usually expressed in units of meters per second (m/s). Velocity is an important concept in physics and is used to calculate how fast an object moves in a given environment. Velocity is related to speed, which is the rate of change of distance in a particular direction. Speed ​​is an important factor in many sports and activities such as running, cycling and driving. It is also used in different ways in our daily life. For example, it is used to determine how fast a car can go from A to B, or how long it will take to walk to a destination.

Speed = Distance/Time

55 = Distance/9

Distance = 495 miles

When speed is 70 mph:

70 = 495/Time

Time = 495/70

Time = 7 hours and 12 minutes

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Answer:

Step-by-step explanation:

so the x by it self add a one in front of the x

6 + 7 = 13

9 - 81 = -72 + 1 + = -71