write the complex number in standard form
5+ ✓-36

Answer:

3 of each gallon

Step-by-step explanation:

It worked for me on ttm

Answer:

4 of 1/3 and 1 of 1/6

Step-by-step explanation:

5/6+2/3=9/6

9/6+4/3=17/6

17/6+1/6=18/6

18/6=3

1 yard = 3 feet

yd/feet

So, for 4 yards:

1/3 = 4/x

Solve for x

Cross multiply:

1*x = 4* 3

x= 12

4 yards = 12 feet

if they're in a bundle of 10 then theres 10 pencils

1a. The percentage total return is -19.56%

1b. The dividend yield is 2.42%.

1c. The capital gains yield is -21.98%.

2a. The arithmetic average annual return on large-company stocks in nominal terms is 14.5%.

2b. The arithmetic average annual return on large-company stocks in real terms is 9.67%.

3a. The real return on long-term government bonds is 3.195%

3b. The real return on long-term corporate bonds is 3.291%

In Financial accounting, the percentage total return (P) can be calculated by using this formula;

P = [(Ending price - Initial price) + Dividend] ÷ Initial price

P = [(71 - 91) + 2.20] ÷ 91

P = -0.1956 or -19.56%

1b. For the dividend yield, we have:

Dividend yield = Dividend ÷ Initial price

Dividend yield = 2.20 ÷ 91

Dividend yield = 0.0242 or 2.42%

1c. For capital gains yield, we have:

Capital gains yield = (Ending price - Initial price) ÷ Initial price

Capital gains yield = (71 - 91) ÷ 91

Capital gains yield = -0.2198 or -21.98%.

Part 2.

a. The arithmetic average of annual return on large-company stocks in nominal terms is equal to 14.5%.

b. For arithmetic average annual return in real terms, we have:

(1 + 0.145) = (1 + r)(1 + 0.044)

r = (1.145/1.044) - 1

r = 9.67%

Part 3.

a. For real return on the long-term government bonds, we would apply Fisher equation:

(1 + i) = (1 + r)(1 + h)

Where:

(1 + 0.066) = (1 + r)(1 + 0.033)

1 + r = 1.066/1.033

r = 3.195%

b. For real return on long-term corporate bonds:

(1 + 0.067) = (1 + r)(1 + 0.033)

1 + r = 1.067/1.033

r = 3.291%

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In relation to the angle L of the right triangle the sides are as follows:

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.

The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.

Let's identify the sides  j,  k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.

Therefore,

The hypotenuse side is the longest side of a right triangle.

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Answer: possibly b

Step-by-step explanation:

The fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

A fraction is a numerical representation of the division of the two terms x and y, as follows:

Fraction = x/y.

As the rate is PKR 1 = 50 paisas, we have that the fraction that represents the rate between PKR and Paisas is given as follows:

1/50.

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Answer:

y = x + 53

Step-by-step explanation:

Let x be the number of flowers Jamal planted and y the number of flowers Heidi planted.

Jamal planted 53 fewer flowers than Heidi:

x = y - 53

Isolate the y.

x + 53 = y (Change the - sign to + sign when switching from different sides of an equation)

y = x + 53

Answer:\(j=h-53\)

Step-by-step explanation:

Let h be the number of flowers Heidi planted, and j the number for Jamal.

\(j=h-53\)

Answer:

3 :) its subtracting take away two then you would have three apples left!

Step-by-step explanation:

B) The values of x and y in the figure are x=30 and y=150 respectively, with x and y corresponding to specific angles formed by the transversal line q intersecting parallel lines l, m, n, and p.

Based on the given information in the figure, we can see that:

L II n {Then lines are the alternate are equal}

x=30°

x=30

n II p

y+30=180°

y=150°

y=150

        therefore: 1 = x

Therefore, we can conclude that x = 30 and y = 150, so the answer is B) x=30, y=150.

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The complete question is :

In the figure shown, line q is a transversal of parallel lines l,m,n, and p what are the values of x and y?

It would take 21 weeks for the population to surpass 16,000.

The insect population P in a certain area fluctuates with the seasons and is estimated by the function P = 15,000 + 2500 sin(πt/52), where t is given in weeks.

For the population to surpass 16,000, we can set up the following equation:

15,000 + 2500 sin(πt/52) = 16,000

Subtracting 15,000 from both sides, we get:

2500 sin(πt/52) = 1000

Dividing both sides by 2500, we get:

sin(πt/52) = 0.4

We know that sin(πt/52) is positive when t is between 0 and 52 and between 104 and 156 since sine is positive in the first and second quadrants. Therefore, we can write:

πt/52 = sin⁻¹(0.4)

Multiplying both sides by 52/π, we get:

t = (52/π) sin⁻¹(0.4)

Using a calculator, we can evaluate sin⁻¹(0.4) to be approximately 0.4115 radians.

t = (52/π) (0.4115)

t = 21.02

Therefore, it would take 21 weeks for the population to surpass 16,000.

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Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

Answer: Numbers 1 and 5.

Step-by-step explanation:

It will take Taylor alone 15 hours to complete the work alone.

A function is a relation between a dependent and independent variable.

Mathematically, we can write → y = f(x) = ax + b.

Given is that at East High School, there are a total of 1050 students in the freshman and sophomore classes. However, the freshman class has 80 more students than the sophomore class.

We can write the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

Therefore, the system of equations to determine the number of freshmen (f) and sophomores (s) in the school as -

f + s = 1050

f - 80 = s

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Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

\(p (x ) = x^3 - 3x^2 - 10x + 24\)

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

\(Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24\)

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.

Answer:

that's my answer

Step-by-step explanation:

i hope it helps

Question 2.

Given the system of equations:

• -x + y = 1

• x + y = 11

Let's solve the system by elimination method using addition and subtraction.

To solve the system, add both equations to eliminate the x variable.

-x + y = 1

+ x + y = 11

__________

2y = 12

Divide both sides of the equation by 2:

Now, substitute 6 for y in either of the equations:

Let's take the second equation

Therefore, we have the solution:

x = 5, y = 6

Answer:

Amadi: 20 years old

Chima : 4 years old

Answer:

14 = n - 6

Step-by-step explanation:

"Is" indicates equal to. "Less" means subtract.

The equation that shows this relationship would be; 14 = n - 6.

A linear equation is an equation that has the variable of the highest power of 1.

The standard form of a linear equation is of the form Ax + B = 0.

We have been given a statement "Fourteen is 6 less a number (n)."

So  here, "Is" indicates equal to sign. "Less" means subtract.

The equation form would be;

14 = n - 6

The equation that shows this relationship would be; 14 = n - 6.

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Answer:

A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

Step-by-step explanation:

a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)

b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)

In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:

H(n) = a · (r / 100)ˣ⁻¹

Where:

If we know that a = 1.5 m and r = 71, then the rule for the sequence is:

H(n) = 1.5 · (71 / 100)ˣ⁻¹

And the height at the top of the sixth path:

H(6) = 1.5 · (71 / 100)⁶⁻¹

H(6) = 0.27 m

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Answer:

It is "The y-intercept is one space higher."

Step-by-step explanation:

Assuming your original equation is 6(9)^X, the + 1 at the end is moving the entire function up since all y values that are the output are 1 higher. This means the point on the y-axis will be one higher, leading us to the answer.

let's firstly convert the mixed fraction to improper fraction and proceed from there.

\(\stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{9}{4}\div \left(\cfrac{3}{8}\div \cfrac{1}{2} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{8}\cdot \cfrac{2}{1} \right)\implies \cfrac{9}{4}\div \left(\cfrac{3}{4} \right) \\\\\\ \cfrac{9}{4}\cdot \left(\cfrac{4}{3} \right)\implies \cfrac{9}{3}\cdot \cfrac{4}{4}\implies 3\cdot 1\implies \text{\LARGE 3}\)

Permutation and combination are two ways of organizing a subgroup of objects extracted from a major group.

We use permutation when the order of the objects of the group matters.

We use combination when the order of the objects does not matters.

Now, let's move on to the problem.

To solve this problem, we can divide it into two steps.

(1) If the order of the choices is relevant.

If the order is relevant, we have to use permutation. The possibilities can be calculated according to the formula:

If r objects are selected from a group of n objects:

In this exercise,

r = 5

n = 8

Then, let's substitute the values in the formula.

So, if the order is relevant, 6720 choices are possible.

(2) If the order of the choices is not relevant.

If the order is not relevant, we have to use combination. The possibilities can be calculated according to the formula:

If r objects are selected from a group of n objects:

And substituting the values of the exercise:

So, if the order is not relevant, 56 choices are possible.

Answer:

Order is relevant: 6720 ways.

Order is not relevant: 56 ways.

Answer:

To find the inverse equation, switch the x and y variables then solve for y.

Original equation: .

y = 100 - x²

Inverse:

x = 100 - y²

y² = 100 - x

y = + √(100 - x) or the first option

Step-by-step explanation:

Answer: 1

−

1

(

s

e

c

2

−

1

t

a

n

2

)

Step-by-step explanation:

Answer:

v = u​ - 9

Step-by-step explanation:

v + 9 = u​

v = u​ - 9

The required value of the production at which the company attained the same profit is 4 thousand skin care items.

Given that,

A certain skincare company's profit in millions of dollars, P(t), can be modeled by the polynomial function P(t) = –2t³ + 8t² + 2t, where t represents the number of skincare items produced, in thousands. Today, the company produces 1 thousand products for a profit of $8 million.

Here,
Plotting the graph of the polynomial equation,

P(t) = –2t³ + 8t² + 2t,
From the graph at x = 4,
The polynomial gives the same value as it gave at x = 1,

Thus, the required value of the production at which the company attained the same profit is 4 thousand skin care items.

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Answer:

a = 14.9

b = 75

c = 22.5

Step-by-step explanation:

The equation given is just the law of sines converted into terms of x.

In organizations, supplier audit becomes more important for deadlines and quality control, and since a long-term relationship is anticipated. Hence, the correct answer is option c.

In the organizational purchase decision process, a supplier audit becomes more important compared to the consumer purchase decision process. This is because organizations need to ensure that the supplier they choose meets their standards for quality, reliability, and cost-effectiveness.

The supplier audit helps the organization to evaluate the supplier's capabilities and assess their ability to deliver on their promises.

Furthermore, since organizations often have deadlines and need to maintain quality control, a supplier audit is important for ensuring that the supplier is able to deliver the goods or services on time and to the required standard.

Since organizations anticipate a long-term relationship with their suppliers, a supplier audit helps to build trust and ensure that the supplier will be able to meet their needs for the long term.

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Answer:

49/2

Step-by-step explanation:

Answer:

49/2 is ur answer hope i helped

Step-by-step explanation: