Select all the expressions that are equivalent to 4x + 8

2(2x+4)

2(x+4)

4(x+1)

4(x+2)

2(2x)+2(4)

Answer:

20 cm²

Step-by-step explanation:

Area of the square = 2cm * 2cm = 4 cm²

Area of All triangles = (4cm * 2cm) ÷ 2cm * 4cm = (4cm * 2cm) * 2cm = 16 cm²

Total Area = 4 cm² + 16 cm² = 20 cm²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

The yield to maturity (YTM) for Cooks Creek's bonds is 11.64%.

Yield to maturity (YTM) is the total return anticipated on a bond if it is held until its maturity date. It takes into account the bond's price, par value, coupon rate, and time to maturity. In this case, Cooks Creek issued $1000 par value, 17-year bonds with a coupon rate of 10.0%.

The bonds make semiannual payments. Since the bonds are currently selling for 97% of their par value, it implies that they are trading at a discount. The YTM can be calculated by considering the present value of the bond's cash flows, including both coupon payments and the par value payment at maturity.

By performing the necessary calculations, the YTM for Cooks Creek's bonds is determined to be 11.64%.

Learn more about Yield to maturity

brainly.com/question/26376004

#SPJ11

The task is to determine whether the integral ∫(x²+4)/(x¹ + 7x² + 27) dx is divergent or convergent. We need to compare it to a known convergent or divergent integral using a positive integer p.

To determine the convergence or divergence of the given integral, we can compare it to a known convergent or divergent integral. The suggested comparison is to compare the given integral to ∫(24+7x²+27)/(x²+4) dx.

By analyzing the behavior of the integrand for large values of x, we can observe that the integrand is close to 24+7x²+27. This allows us to make a comparison using the integral ∫(24+7x²+27)/(x²+4) dx.

To evaluate the convergence or divergence of the original integral, we need to find the smallest positive integer p such that the integral ∫(24+7x²+27)/(x²+4) dx converges.

Further details or specific calculations are required to determine the value of p and conclude whether the original integral diverges or converges.

Learn more about divergent here: brainly.com/question/31778047

#SPJ11

Angle of elevation would be 66 degrees

The matrix is a not invertible when it's column do not span because it is not linearly independent.

According to the statement

we have find that the matrix can be a invertible or not when its column is spaned.

So, For this purpose, we know that the

Matrix, a set of numbers arranged in rows and columns so as to form a rectangular array. The numbers are called the elements, or entries, of the matrix.

And according to the statement it is not possible for thr matrix to be invertible.

Because for matrix it is not a possible because it is not independent,

In other words, No, if the columns don't span R5 -> NOT linearly independent -> not invertible.

So, The matrix is a not invertible when it's column do not span because it is not linearly independent.

Learn more about Matrix here

https://brainly.com/question/94574

#SPJ4

9514 1404 393

Answer:

  10.625 seconds

Step-by-step explanation:

distance = speed · time

We want the total of all distances to be zero.

  (-3.5)(90) +(2.2)(120) +(4.8)t = 0

  -315 +264 +4.8t = 0 . . . . . simplify

  -51 +4.8t = 0 . . . . . . . . . . . simplify more

  -10.625 +t = 0 . . . . . . . . . .divide by 4.8

  t = 10.625 . . . . . . . . . . . . . add 10.625

It will take the scientist 10.625 seconds to reach sea level.

Answer:

21x+6

Step-by-step explanation:

Answer:

if you need to no what 9+15 is it is 24

Step-by-step explanation:

get a pis of paper and draw 15 dots and then you add 9 more dots and you have 24

Answer:

3( 3+5)

Step-by-step explanation:

9 +15

Rewriting 9 as 3*3  and 15 * 3*5

3*3 + 3*5

Factor out 3

3( 3+5)S

The probability of getting two numbers that have a sum of 5 on the spinner is 1/9.

In probability theory, the probability of an event happening is defined as the number of favorable outcomes divided by the total number of possible outcomes. In this case, we need to determine the number of favorable outcomes where the sum of two numbers on the spinner is 5. There are two such favorable outcomes: (2, 3) and (3, 2). Since the spinner has three equal sections, the total number of possible outcomes is 3 * 3 = 9.

Therefore, the probability is calculated as 2 favorable outcomes divided by 9 total outcomes, resulting in 2/9 or approximately 0.2222.

Probability theory and calculating probabilities by considering favorable and total outcomes in different scenarios.

Learn more about probability

brainly.com/question/31828911

#SPJ11

The best description of the probability of drawing a king from the deck is 1 out of 13, or 1/13.

The probability of drawing a king from a standard deck of 52 playing cards can be determined by dividing the number of favorable outcomes (number of kings) by the total number of possible outcomes (total number of cards in the deck).

In a standard deck, there are 4 kings (one king for each suit: hearts, diamonds, clubs, and spades). Therefore, the number of favorable outcomes is 4.

The total number of possible outcomes is 52 (the total number of cards in the deck).

So, the probability of drawing a king is:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 52

Simplifying the fraction gives us:

Probability = 1 / 13

Know more about probabilityhere:

https://brainly.com/question/31828911

#SPJ11

Answer:

-(r+8)

Step-by-step explanation:

Answer:

4.5(1.035)^t

Step-by-step explanation:

An inrease of 3.5% means that each year's total is 103.5% of the year before, right?

Year 1 = 4.5(1.035) = 4.66

Year 2 = 4.66(1.035) = 4.82

etc.

So, year 2 is 4.5(1.035)(1.035) = 4.82

Multiplying something by itself can be written with an exponent instead, so 2 years is...

4.5(1.035)2

Since the number of years is the variable (let's call it t)...

Answer:

B

Step-by-step explanation:

A doesn't repeat at all
B just repeats on the 3
C repeats on the 1 and 3
D repeats on the 5, 1, and 3

1 picture is b

2nd picture is b

3rd picture is  c

4th pic is d

Step-by-step explanation:

There are 14 members in the club, and there are 4 leadership positions. Each position can be filled by any of the 14 members, so there are 14 ways to fill the first position, 14 ways to fill the second position, and so on. However, we have overcounted because we have not taken into account that a member cannot serve in two positions simultaneously. To correct for this overcounting, we divide by the number of ways that a member can serve in two positions simultaneously, which is 1. Therefore, the total number of ways that the club leadership can be organized is:

14 * 14 * 14 * 14 / 1 = 14^4 = 20736 ways.

Answer: this question makes no sense

Step-by-step explanation:

Answer:

c) 1

Step-by-step explanation:

Answer:

- 5/12

Step-by-step explanation:

It's pretty much reciprocal.

Using it's concept, the equivalent expression for the perimeter of the figure is:

2 + 3x2 + 4x2 + 5x2 + 8

The perimeter of a figure is given by the total length of it's boundary.

Hence, for the figure given in this problem, the perimeter is:

2 + 3 + 3 + 4 + 4 + 5 + 8 + 5

2 + 3x2 + 4x2 + 5x2 + 8

More can be learned about the perimeter of a figure at https://brainly.com/question/26134384

#SPJ1

Answer:

Rs 2,or 2%profit

Step-by-step explanation:

the price he marked:

\(100 \times \frac{120}{100} = 120\)

(20 percent more than cost price)

The discount he put: 15 percent

\(120 \times \frac{85}{100} \)

Rs102

102 is 2 more than 100

and is 2%profit.

Brainliest please

Answer:

If D is the triangle with vertices (0,0), (88,0), (88,58), then Sle e-x² dA= D==∬D e^(-x^2) dA = ∫[0,58] ∫[0,88] e^(-x^2) dx dy + ∫[0,88] ∫[0,(58/88)x] e^(-x^2) dy dx

Step-by-step explanation:

To calculate the double integral ∬D e^(-x^2) dA over the triangle D with vertices (0,0), (88,0), and (88,58), we need to determine the limits of integration.

The triangle D can be divided into two regions: a rectangle and a triangle.

The rectangle is bounded by x = 0 to x = 88 and y = 0 to y = 58.

The triangle is formed by the line segment from (0,0) to (88,0) and the line segment from (88,0) to (88,58).

To evaluate the double integral, we can split it into two integrals corresponding to the rectangle and triangle.

For the rectangle region, the limits of integration are:

x: 0 to 88

y: 0 to 58

For the triangle region, the limits of integration are:

x: 0 to 88

y: 0 to (58/88) * x

Now, we can write the double integral as the sum of the integrals over the rectangle and the triangle:

∬D e^(-x^2) dA = ∫[0,88] ∫[0,58] e^(-x^2) dy dx + ∫[0,88] ∫[0,(58/88)x] e^(-x^2) dy dx

The integration order can be changed depending on the preference or the ease of integration. Here, let's integrate with respect to x first:

∬D e^(-x^2) dA = ∫[0,58] ∫[0,88] e^(-x^2) dx dy + ∫[0,88] ∫[0,(58/88)x] e^(-x^2) dy dx

Now, we can proceed to evaluate the integrals. However, finding an exact solution for this double integral is challenging since the integrand involves the exponential of a quadratic function. It does not have an elementary antiderivative.

Learn more about Quadratic equation:https://brainly.com/question/1214333

#SPJ11

The metric system is easier to use than the English system for several reasons.

Firstly, the metric system is based on multiples of 10, making conversions between units straightforward. In contrast, the English system has inconsistent conversion factors between units, such as 3 feet in a yard or 16 ounces in a pound, making calculations more complex. Additionally, the metric system uses a consistent set of prefixes to indicate values that are either smaller or larger than the base unit, which further simplifies calculations.

Finally, the metric system is used universally across the world, whereas the English system is only used in a few countries, making it easier for people to communicate and conduct business using a standardized measurement system. In contrast, the English system uses units such as yards, miles, quarts, and gallons, which have inconsistent conversion factors, making calculations more complex and challenging.

To know more about metric system visit:-

https://brainly.com/question/29953513

#SPJ11

The measurement for SH-C0524-B 250 that is out of range is given as follows:

A. V.

From the table given by the third image at the end of the answer, the measurements of SH-C0524-B 250 are given by:

The ranges for each variable, from the second image, are given as follows:

Hence measurement V is out of range, as the range of acceptable values is between 0.95 and 1.05, and option A is correct.

More can be learned about ranges of measurements at https://brainly.com/question/11246558

#SPJ1

Answer:

3.75•4=15 TL dir .......

The probability that the chip drawn from urn II is red is 4/15. Let's call the event that the chip drawn from urn I and transferred to urn II is red "R1", and the event that the chip drawn from urn II is red "R2".

The probability of event R1 is 2/6 = 1/3.

Given that event R1 has occurred, the number of red chips in urn II becomes 4, and the number of total chips becomes 4+1=5. The probability of event R2 is 4/5 = 4/5.

The probability of both events occurring is (1/3) * (4/5) = 4/15.

So, the probability that the chip drawn from urn II is red is 4/15.

To know more about Probability

https://brainly.com/question/13604758

#SPJ4

a) In 25 years you will have approximately $150,080.82 in the account, b) The total deposited amount is $60,000 and c) You will earn approximately $90,080.82 in total interest.

a) Using the formula for compound interest: A=P(1+r/n)^(nt),

where A = final amount, P = principal, r = annual interest rate, n = number of times the interest is compounded per year, and t = time (in years).

P = $200 per month, r = 6%, n = 12 (since interest is compounded monthly), and t = 25 years.

The total amount deposited : Total deposited = $200 x 12 months x 25 years

                                                                            = $60,000

Now, substitute these values into the formula and solve for A :

A = 200(1+0.06/12)^(12x25)

A ≈ $150,080.82

Therefore, you will have approximately $150,080.82 in the account in 25 years.

b) We know that the total deposited amount is $60,000.

c) To find the total interest earned, subtract the principal (total deposited amount) from the final amount :

A - P = $150,080.82 - $60,000

        = $90,080.82

Therefore, you will earn approximately $90,080.82 in total interest.

Learn more about compound interest from the given link :

https://brainly.com/question/3989769

#SPJ11

Natalie's two flower patches have a total area of 5/72 square yards.

To solve this problem, we need to add the areas of the two flower patches together. We know that one patch is 38 of a square yard and the other is 23 of a square yard.

To use the model to help us answer the question, we need to first determine what each rectangle in the model represents in terms of area. Since the model shows two squares, we can assume that each square represents one unit of area (e.g. one square yard, one square meter, etc.). Within each square, there are twenty-four rectangles arranged in eight rows of three. Therefore, each rectangle in the model represents 1/24 of a unit of area.

Now, we can use the shading in the model to represent the area of Natalie's flower patches. The first square has shading covering nine rectangles on the three rows at the bottom. This means that the shaded area of the first square represents:

9 rectangles * (1/24 unit area/rectangle) = 3/8 units of area

The second square has shading on the first two rectangles in every row. This means that the shaded area of the second square represents:

2 rectangles/row * 8 rows * (1/24 unit area/rectangle) = 1/3 units of area

To find the total shaded area of the two flower patches, we can add the areas together:

3/8 units of area + 1/3 units of area = 5/8 units of area

Now, we can convert this back to square yards (since the problem gives us the area in square yards):

5/8 units of area * (1 square yard / 9 square feet) = 5/72 square yards

Therefore, Natalie's two flower patches have a total area of 5/72 square yards.

Learn more about Area of rectangle

brainly.com/question/20693059

#SPJ11

The number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

Amy, Ben, Carl, and Debbie each have some coins. Ben has three times the number of coins that Amy has and a third of the number of coins that Carl has, and Debbie has two-thirds the number of coins that Carl has.

Let

a = Amy's coins

b = Ben's coins

c = Carl's coins

d = Debbie's coins

Therefore,

b = 3a

c = 3b

3d = 2c

The number of coins that Amy has, multiplied by the number of coins that Ben has, multiplied by the number of coins that Carl has, multiplied by the number of coins that Debbie has, is 162.

Therefore,

abcd = 162

Hence,

we need to write each variable in terms of one variable.

c = 3(3a) = 9a

3d = 2(9a) = 18a

d = 6a

Hence,

a  × 3a × 9a × 6a = 162

162a⁴ = 162

a = 1

Hence,

b = 3(1) = 3

c = 9(1) = 9

d = 6(1) = 6

Therefore, the number of coins given to Amy, Ben, Carl and Debbie are 1, 3, 9 and 6.

learn more on number of coins here: https://brainly.com/question/24305464

#SPJ1

Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.

To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:

P(X = k) = (e*(-λ) * λ\(^k\)) / k!

Where:

P(X = k) is the probability of getting exactly k calls

e is the base of the natural logarithm (approximately 2.71828)

λ is the mean number of calls (given as 5)

k is the number of calls (in this case, 4)

k! is the factorial of k

Let's calculate the probability using the formula:

P(X = 4) = (e*(-5) * 5⁴) / 4!

P(X = 4) ≈ 0.1755

To know more about probability,

https://brainly.com/question/28005248

#SPJ11

Answer:

Step-by-step explanation:

The first answer is correct because you are really not changing anything about the question

The dimensions of the poster are 2 inches by 15 inches.

Algebra is a branch of mathematics that deals with symbols and the rules for manipulating these symbols. It is used to solve problems and represent mathematical relationships and formulas. In algebra, letters and other symbols are used to represent numbers and quantities, allowing us to express mathematical relationships and patterns in a more general and abstract way.  Common topics in algebra include equations, inequalities, functions, and graphing.

An equation is a mathematical statement that shows that two expressions are equal. Equations typically include variables, which are placeholders for unknown or changing values, and mathematical operations, such as addition, subtraction, multiplication, and division, that manipulate these values.

In the given question,

Let's use algebra to solve for the dimensions of the poster.

Let w be the width of the poster in inches. Then, according to the problem statement, the length of the poster is 9 more inches than three times its width, or 3w + 9. The area of the poster is given as 30 square inches, so we can set up the equation:

A = lw = (3w + 9)w = 30

Expanding the right-hand side and simplifying, we get:

3w^2 + 9w - 30 = 0

Dividing both sides by 3, we obtain:

w^2 + 3w - 10 = 0

This is a quadratic equation that we can solve using factoring or the quadratic formula. Factoring, we can write:

(w + 5)(w - 2) = 0

This gives us two solutions: w = -5 and w = 2. Since the width of the poster must be a positive number, we can discard the negative solution and conclude that the width of the poster is 2 inches.

To find the length, we can substitute w = 2 into the expression we found earlier for the length:

l = 3w + 9 = 3(2) + 9 = 15

Therefore, the dimensions of the poster are 2 inches by 15 inches.

To know more about Algebra,visit:

https://brainly.com/question/24875240

#SPJ1