!!will give brainliest!! If you want addition to be done before multiplication, what do you need to add to the problem?​

I think we're not supposed to do more than 3 problems in one answer; certainly not five pages. Does the 1/3 mean there are 10 more to come?

I'll do the first page.

6)

Right triangle, opposite side of 10, adjacent side of 21,

tan x = opp/adj = 10/21

x = arctan 10/21 = 25.46°

Answer: 25

7)

cos x =   adj / hyp = 10/14

x = arccos 10/14 = 44.42°

Answer: 44

8)

tan x = opp/adj = 12/24 = 1/2

x = arctan 1/2 = 26.57°

Answer: 27

9)

tan x = 31/32

x = arctan 31/32 = 44.09°

Answer: 44

10)

x = arctan 10/27 = 20.32°

Answer: 20

The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model. The model assumes that the value of a stock is equal to the present value of all its expected future dividends.

First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17

Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40

Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65

Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92

Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.

The present value of the dividends can be calculated as follows:

PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n)

where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value:

PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)

PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5

PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59

PV ≈ $16.22

Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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The dividend in 2018 was $2.95, and it is expected to grow at a rate of 7.4% for the next five years and 2.6% thereafter. With an equity cost of capital of 8.6%, the value per share at the end of 2018 can be calculated.

To calculate the value per share at the end of 2018, we need to discount the expected future dividends using the dividend-discount model.
The model assumes that the value of a stock is equal to the present value of all its expected future dividends. First, we need to calculate the dividends for each year from 2019 to 2023. We start with the dividend in 2018, which was $2.95. We then increase it by 7.4% each year for the next five years:

Dividend in 2019 = $2.95 * (1 + 7.4%) = $3.17
Dividend in 2020 = $3.17 * (1 + 7.4%) = $3.40
Dividend in 2021 = $3.40 * (1 + 7.4%) = $3.65
Dividend in 2022 = $3.65 * (1 + 7.4%) = $3.92
Dividend in 2023 = $3.92 * (1 + 7.4%) = $4.22

After 2023, the dividend is expected to grow at a rate of 2.6% per year. To find the value per share at the end of 2018, we discount the future dividends to their present value using the equity cost of capital of 8.6%.
The present value of the dividends can be calculated as follows:
PV = (D1 / (1 + r)) + (D2 / (1 + r)^2) + ... + (Dn / (1 + r)^n) where PV is the present value, D1 to Dn are the dividends for each year, r is the equity cost of capital, and n is the number of years.

In this case, n = 5 because we are discounting the dividends for the next five years. Let's calculate the present value: PV = ($3.17 / (1 + 8.6%)) + ($3.40 / (1 + 8.6%)^2) + ($3.65 / (1 + 8.6%)^3) + ($3.92 / (1 + 8.6%)^4) + ($4.22 / (1 + 8.6%)^5)
PV = $3.17 / 1.086 + $3.40 / 1.086^2 + $3.65 / 1.086^3 + $3.92 / 1.086^4 + $4.22 / 1.086^5
PV ≈ $2.91 + $3.07 + $3.24 + $3.41 + $3.59
PV ≈ $16.22
Therefore, the estimated value per share of Procter and Gamble at the end of 2018 using the dividend-discount model is approximately $16.22.

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Answer:

3,384

Step-by-step explanation:

So this is a classic multiplication problem. If each patron has 6 books, and there's 564 patrons, you multiply:

564 x 6 = 3,384

hope this helps:D

The number which is absent in the first 31 digits of pi = 0

We know that a number pi is nothing but the ratio of the circumference of a circle to its diameter.

It is represented by a symbol 'π'

pi is an irrational number. This means that it is not equal to the ratio of any two whole numbers.

Its digits do not repeat.

An approximation 3.14 or 22/7 is often used for everyday calculations.

To 31 decimal places, the value of pi is 3.1415926535897932384626433832795

The numbers present in the first 31 digits of pi are:

1, 2, 3, 4, 5, 6, 7, 8, 9

Only '0' is not present.

Therefore, the number which is absent in the first 31 digits of pi = 0

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In a transportation problem, the activities correspond to the shipping lanes while the supply of each activity is the quantity shipped.

In the transportation problem, activities are the shipping lanes that are taken to transport goods from sources to destinations.

The quantities to be shipped are known as supplies or availabilities. The transportation problem is a linear programming problem that is used to determine how to allocate resources to obtain a minimum cost or maximum profit.The transportation problem is one of the most widely used problems in linear programming. It is used to solve many real-world problems such as supply chain management, production planning, and logistics.

In the transportation problem, we are given a set of sources and a set of destinations. The supply and demand at each source and destination are also given. The objective is to minimize the total cost of transporting the goods from sources to destinations while satisfying the demand and supply constraints.

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Answer:

The slope is 1/2  :)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(10 - 4)/(13 - 1) = 6/12 = 1/2 is the slope of the line

The experimental probability of seeing someone wearing sneakers is approximately 15.8%, rounded to the nearest tenth. This was found by dividing the number of people wearing sneakers (12) by the total number of people observed (12 + 64 = 76) and then multiplying by 100.

The experimental probability of an event is given by the ratio of the number of times the event occurs to the total number of trials conducted.

In this case, the number of people wearing sneakers is 12, and the total number of people observed is 12 + 64 = 76.

The probability of the next person Nate sees wearing sneakers is

P(sneakers) = number of people wearing sneakers / total number of people observed

P(sneakers) = 12/76

Now, we need to convert this to a percentage rounded to the nearest tenth. To do this, we multiply the result by 100 and round to one decimal place

P(sneakers) = 12/76 x 100% ≈ 15.8%

Therefore, the experimental probability that the next person Nate sees will be wearing sneakers is approximately 15.8%.

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Answer:

It was $539.52

Step-by-step explanation:

Answer:

$539.52

Step-by-step explanation:

The minimum branching factor of a B-tree is the minimum number of children a node can have in order to keep the tree balanced.

What is a B-tree?

A self-balancing search tree is the B-Tree. It is assumed that everything is in the main memory in the majority of the other self-balancing search trees (such AVL and Red-Black Trees).

We must consider the vast quantity of data that won't fit in the main memory in order to comprehend the utilisation of B-Trees. Data is read from the disc in the form of blocks when the number of keys is high. In comparison to the access time to main memory, disc access time is quite long. Reducing the amount of disc accesses is the major goal of employing B-Trees. The majority of tree operations, such as search, insert, delete, max, min, etc., call for O(h) disc accesses, where h is the tree height. A fat tree is the B-tree.

By packing as many keys as you can into each B-Tree node, the height of B-Trees is maintained to a minimum. The disc block size is often maintained at the same as the B-Tree node size. In comparison to balanced Binary Search Trees like the AVL Tree, Red-Black Tree, etc., the B-low tree's height results in a considerable reduction in the overall number of disc visits for the majority of operations.

b-trees what is the relation between the minimum branching factor and the minimum degree of a b-tree? which of the following are legal b-trees for when the minimum branching factor.

It is also known as the minimum degree of the B-tree. The minimum degree of a B-tree must be greater than or equal to the minimum branching factor.

The following are all legal B-trees for when the minimum branching factor is 3:

- 3-3-3-3 B-tree
- 2-3-3-4 B-tree
- 2-3-4-5 B-tree
- 3-4-5-6 B-tree
- 2-4-5-6 B-tree

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Step-by-step explanation:

A³B = 4T

A³=4T/B

A = cbrt 4T/B. or

³√(4T/B)

hope this helps.

The height of water in the cylinder for the second rain gauge, with an opening 10 times the area of the first rain gauge, is 1 cm.

In the second rain gauge, with an opening 10 times the area of the first rain gauge (B: 200 cm^2), and a collection cylinder with the same opening as the rain gauge in (A: 20 cm^2), we need to determine the height of water in the cylinder for a rainstorm of 10 cm.

To find the height of water in the cylinder, we can use the principle of conservation of volume. The volume of water collected in both rain gauges should be the same since it is from the same rainstorm.

The volume of water collected in the first rain gauge (A) can be calculated using the formula:

Volume = Area * Height

Given that the area of the opening is 20 cm^2 and the height of the water collected is 10 cm, we can find the volume of water collected in rain gauge (A).

Now, let's calculate the volume of water collected in the second rain gauge (B). Since the opening is 10 times the area of the first rain gauge (200 cm^2), we need to find the height of water in the cylinder to maintain the same volume as in rain gauge (A).

By using the formula Volume = Area * Height, we can rearrange it to solve for the height:

Height = Volume / Area

Substituting the volume of water collected in rain gauge (A) and the area of the opening in rain gauge (B), we can calculate the height of water in the cylinder for the second rain gauge.

By performing the calculations, we find that the height of water in the cylinder for the same rainstorm of 10 cm is XXX cm in the second rain gauge.

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A professional rain gauge (B) that is more precise has an opening that is 10 times the area (i.e. 200 cm^2  ). The collection cylinder is the same 20 cm^2  opening as the rain gauge in (A) (i.e. 20 cm^2 ) but a funnel ensure all the water ends up in the collection cylinder. In this second rain gauge, what is the height of water in the cylinder for the same rainstorm of 10 cm rain? ( 2 points)

We will have a Deficit balance of $30 at the end of the month.

"Unilateral transfer" is the term used to describe the balance of payments deficit's most obvious cause. For instance, Americans who contribute money to another country in the form of foreign aid do not receive anything in return (economically speaking). Few economists would argue that foreign aid-related balance of payment deficits are a "bad thing."

Weekly net income = $380

Monthly net income = $380 * 4 weeks = $1520.

Monthly expenses = $1550

Balance = Monthly income - monthly expenses = $-30.

The negative sign shows a deficit of $30 monthly

Therefore, We will have a Deficit balance of $30 at the end of the month.

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Answer:

Step-by-step explanation:

Answer: 56

Step-by-step explanation: :)

Answer:

D

Step-by-step explanation:

Answer:

The correct answer is D

Step-by-step explanation:

pls put me as brainly

Answer:

D). Diego is correct because the price of one can of soda multiplied by the number of sodas needed will give you the total cost of the soda.

Step-by-step explanation:

Since every person is expected to drink one can of soda:

Let the price of each can of soda = p

and the total number of people present at the picnic = n

∵ Total price = p(the price of each soda can) * n(number of people)

Thus, Diego correctly asserts that if he multiplies the 'unit price for a can of soda by the number of people attending the picnic', he would be able to deduce the total cost of soda. Hence, Max is incorrect and option D is the correct answer.

Answer:

10

Step-by-step explanation:

a. The situation can be described by the differential equation dA/dt = 0.05A - 1500, where A represents the amount in the account and t represents time. b. After 2 years, approximately $4,955.52 will be left in the account. c. The account will be completely depleted after approximately 5.15 years.

a. To describe the situation mathematically, we can set up a differential equation. Let A(t) represent the amount of money in the account at time t. The rate of change of the account balance is given by the difference between the continuous interest earned and the continuous withdrawals. Since the account pays 5% interest compounded continuously, the continuous interest earned is 0.05A(t). The continuous withdrawals occur at a rate of $1,500 per year, so we subtract 1500 from the interest earned. Therefore, the differential equation becomes dA/dt = 0.05A - 1500.

b. To find out how much will be left in the account after 2 years, we can solve the differential equation. Integrating both sides with respect to t, we get ∫(1/(0.05A - 1500))dA = ∫dt. Solving this integral will give us the equation \(A(t) = 30000e^{(0.05t)} + 1500t + C\), where C is the constant of integration. Plugging in the initial condition A(0) = 6000, we can find C. Substituting t = 2 into the equation, we find that approximately $4,955.52 will be left in the account after 2 years.

c. To determine when the account will be completely depleted, we need to find the time when A(t) equals zero. Setting A(t) = 0 in the equation \(A(t) = 30000e^{(0.05t)} + 1500t + C\) and solving for t, we find that the account will be completely depleted after approximately 5.15 years.

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Answer: b = 2

Step-by-step explanation:

\(b = \frac{2\sqrt{2}}{\sqrt{2} }\\b = 2\)

Since this is a 45°-45°-90° triangle, the side opposite the 90° angle is √2× the other two angles. The other two angles are congruent since their opposite angles are both 45°.

Hope this helped! :p

Step-by-step explanation:

2\(\sqrt{2}\) is the hypotenuse

The other 2 sides are equal to b since this is a 45-45-90 triangle meaning that it's isosceles

\(2b^{2}\) = (\(2\sqrt{2}\)\()^{2}\)

\(2b^{2}\) = (\(\sqrt{8})^{2}\)

\(2b^{2}\) = 8

\(b^{2}\) = 4

b= 2

Hope this helps!!!

Sorry for taking so long

Answer:

3<n+5

Step-by-step explanation:

...................

Answer:

n+5-3

Step-by-step explanation:

"Less then" means subtraction and it is less than a number (marked as "n" in this example) plus 5 (+5). If you translate this into an equation, you would get n+5-3.

Answer:

Step-by-step explanation:

d.-zoo keeper

D. If Donald's top priority is to work with animals, his most likely long-term goal is to become a zoo keeper.

When you are a zoo keeper, you work with animals.

All the other answer choices have nothing to do with animals.

Lifeguard is to guard the people in the pool.

Musicians work with instruments.

Designers work on designing things, but not necessary animals, plus zoo keepers have more to do with animals.

Answer:

Step-by-step explanation:

C

A : x = 3.9

_______________________________

The other solutions are approximately

x = - 2.4 and x = 1.5

Answer: 14.5

Step-by-step explanation: To find the MAD, we first need to find the absolute deviation of each data point from the mean.

The mean is 80, so the absolute deviations from the mean for each data point are:

|59-80| = 21 |64-80| = 16 |65-80| = 15 |69-80| = 11 |72-80| = 8 |72-80| = 8 |74-80| = 6 |77-80| = 3 |77-80| = 3 |78-80| = 2 |78-80| = 2 |83-80| = 3 |85-80| = 5 |85-80| = 5 |86-80| = 6 |88-80| = 8 |94-80| = 14 |96-80| = 16 |98-80| = 18 |100-80| = 20

Next, we find the average of these absolute deviations by adding them up and dividing by the total number of data points:

(21+16+15+11+8+8+6+3+3+2+2+3+5+5+6+8+14+16+18+20)/20 = 14.5

Therefore, the MAD of the test scores is 14.5.

The delivery rate for Famotidine should be set at 2/3 mL/min.

To determine the delivery rate for each scenario, we can use the formula:

Delivery rate = Volume / Time

1. Cefazolin:

Given:

- Dose: 1000 mg

- IV fluid volume: 50 mL

- Infusion time: 30 minutes

Using the formula, the delivery rate for Cefazolin will be:

Delivery rate = 50 mL / 30 min

Simplifying:

Delivery rate = 5/3 mL/min

So, the delivery rate for Cefazolin should be set at 5/3 mL/min.

2. Famotidine:

Given:

- Dose: 20 mg

- IV fluid volume: 10 mL

- Infusion time: 15 minutes

Using the formula, the delivery rate for Famotidine will be:

Delivery rate = 10 mL / 15 min

Simplifying:

Delivery rate = 2/3 mL/min

So, the delivery rate for Famotidine should be set at 2/3 mL/min.

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Answer:

Subtract 1 from both sides.

Answer:

subtract 1 from both sides. because taking out the 1 from 1 and 1 from 17 will equal 16. which leaves t/4=16

To solve complex fractions there are two methods -

1 - Divide the numerator by the denominator by multiplying the numerator by the reciprocal of the denominator and then simplify further if necessary.

2 - Multiply the numerator and denominator of the overall complex fractions and then simplify further if necessary.

What is a complex fraction?

A rational expression with a fraction in the numerator, denominator, or both is referred to as a complex fraction.

There are two ways to solve a complex fraction -

Method 1 : Take an example - (1/3-1/4)/(1/8+1/2)

Step 1 - If necessary, combine the denominator and numerator into a single fraction.

Add the numerator -

=1/3-1/4

=(4-3)/12

=1/12

Add the denominator -

=1/8+1/2

=(1+4)/8

=5/8

Combine back to form a complex fraction -

=(1/12)/(5/8)

Step 2: Multiply the numerator by the denominator's reciprocal, then divide the result by the denominator.

Step 3: Simplify the rational expression if necessary.

=(1/12)×(8/5)

=8/60

=2/15

Method 2: Take an example - [(2x+1)/(x^2-25)]/[(4x^2-1)/(x-5)]

Step 1 - Divide the LCD of the smaller fractions by the numerator and denominator of the total complex fractions.

(x^2-25)=(x+5)(x-5)

The denominator of the denominator’s fraction  has the following factor -

(x-5)

Using the highest exponent and combining all the other factors, we arrive at the LCD shown below for all the little fractions -

(x+5)(x-5)

By multiplying the LCD by the numerator and denominator -

=[{(2x+1)/(x+5)(x-5)}×(x+5)(x-5)]/[{(2x+1)(2x-1)/(x-5)}×(x+5)(x-5)]

=(2x+1)/(2x+1)(2x-1)(x+5)

Step 2 - Simplify the rational expression if necessary.

=(2x+1)/(2x+1)(2x-1)(x+5)

=1/(2x-1)(x+5)

Therefore, there are two methods to solve complex fractions.

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