Evaluate the expression 2 (3)^3 + 5

Carson Kelly is expected to hit approximately 31 home runs in 2024.

To find how many home runs Carson Kelly is expected to hit in 2024, we can use the formula for compound interest, where the initial amount is the number of home runs he hit in 2019, and the interest rate is the expected growth rate of his home run hitting ability, which is 12 percent or 0.12 as a decimal.

Let H be the number of home runs hit in 2019, and H(n) be the number of home runs hit in year n, then we can write:

H(n) = H * (1 + r)^n

Where r is the growth rate, and n is the number of years into the future.

If we plug in the given values, we can find the number of home runs Carson Kelly is expected to hit in 2024, which is 5 years after 2019.

H = 18 (number of home runs in 2019)

r = 0.12 (growth rate)

n = 5 (number of years into the future)

H(5) = 18 * (1 + 0.12)^5

H(5) = 18 * 1.7623

H(5) = 31.9214

It's important to note that this is simply an estimate based on the given growth rate, and the actual number of home runs he hits in 2024 may vary based on many factors, including injuries, team support, and the skill of opposing pitchers, among others.

For such more questions on home runs

https://brainly.com/question/11923973

#SPJ8

Answer: y=3/4x

Step-by-step explanation:

1. Find slope using slope formula

2. Find b value by plugging a point to solve for b with

The statement "a ∩ b = a if and only if a ⊆ b" means that the intersection of sets A and B is equal to set A only if set A is a subset of set B. We can prove this statement using the following steps:

In conclusion, the statement "a ∩ b = a if and only if a ⊆ b" is true because the intersection of sets A and B is equal to set A only if set A is a subset of set B. This can be proven using the steps outlined above.

Learn more about probability: https://brainly.com/question/24756209

#SPJ11

Compared with the graph of the parent function, an equation which shows only a vertical compression by a scale factor of 1/3 and a shift downward of 4 units is: A. y = 1/3∛x - 4.

In Geometry, a scale factor can be defined as the ratio of two corresponding side lengths or diameter in two similar geometric objects (shapes) such as equilateral triangles, square, quadrilaterals, polygons, etc., which can be used to either vertically or horizontally enlarge or reduce (compress) a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object (square) based on a specific scale factor is given by this mathematical expression:

(x, y)      →    (SFx, SFy)  = (1/3x, 1/3y)

Where:

In this scenario, the only equation that is vertically compressed by a scale factor of 1/3 and translated (shifted) downward by 4 units is given by:

y = 1/3∛x - 4.

Read more on function and scale factor here: https://brainly.com/question/11778962

#SPJ1

Answer:

The first part is A

and second part is D

Step-by-step explanation:

100% on edge 2023

Answer:

Please read the assumptions that lead to the proposed answer of options a, b, and e being correct.  Options c and d are easily rejected.  The question is ambiguous about the locations of the angles.

Step-by-step explanation:

Parallel lines have slopes that are identical.  Lines p and q have the same slopes.

It is difficult imagining what angles are represented by x, y, and z.  There are only 2 lines, and they do not intersect.  The locations of the angles are not identified.  The lack of an intersecting point means it is free range as to where we assign the angles.

The attached graph illustrates some possibilities for x, y, and z.  It uses two simple equations as examples, with the same slope to make them parallel.  Assinment of any angles requires the use of an imaginary line that intersects the two parallel lines.  Even then, there aren't many unique locations for the angles.  To illustrate the analysis, lets assign the angles x, y, and z to thelocations shown on the graph.  

Even with this huge step, there is limited information to be able to identify which of the answer options is correct.  We can say that:

x = z

x+y=180

y+z=180

The answer options (below) appear to have similar relationships, so let's agree that the use of the imaginary line, plus the locations of x, y, and z are valid.  Looking at the answer options, we can match choices a, b, and e to the conclusions above.  d makes no sense because it is not an equation.  c says that both lines must be perpendicular to the x axis, a limitation that is relatively immaterial to whether they are parallel.  The condition of being parallel depends on those two angles being the same (e.g., 45 and 45, 22 and 22, etc.) and not require that they both be 90.

Answer Options               Guarantee Parallel?

a. x = z                                     Yes

b. x + y = 180 degree              Yes

c. x + z = 180 degree              No

d. x + y                                     No

e. y + z = 180                           Yes

Answer:

Nnnnnnnnnnnn

Step-by-step explanation:

L bozo

Answer:

Step-by-step explanation:

With given conditions we can state:

Comparing with the answer choices, correct choice is C.

Scenario: A small business owner needs to analyze their sales data to make informed decisions about pricing and profitability.

Supporting Detail 1: The concept of linear equations can be applied to determine the break-even point and set optimal pricing strategies for the business.

Worked Example 1: Let's say the small business sells a product for $10 each, and the fixed costs (expenses that don't vary with the number of units sold) amount to $500. The variable costs (expenses that depend on the number of units sold) are $2 per unit. We can use the formula for a linear cost equation (C = mx + b) to find the break-even point where revenue equals total costs:

10x = 2x + 500

Simplifying the equation, we get:

8x = 500

x = 500/8

x = 62.5

The break-even point is 62.5 units. Knowing this information, the business owner can make decisions about pricing, cost control, and production targets.

Supporting Detail 2: The concept of systems of equations can be applied to optimize the allocation of resources in the business.

Worked Example 2: Let's consider a scenario where the business owner sells two different products. Product A generates a profit of $5 per unit, while Product B generates a profit of $8 per unit. The business owner has a limited budget of $500 and wants to determine the optimal allocation of resources between the two products. We can set up a system of equations to represent the profit constraints:

x + y = 500 (total budget)

5x + 8y = P (total profit, represented as P)

By solving this system of equations, the business owner can find the optimal values of x and y that maximize the total profit while staying within the budget constraints.

Conclusion: Applying concepts from this algebra course to real-life scenarios, such as analyzing sales data for a small business, helps in understanding the material by providing practical applications. It demonstrates the relevance of algebra in making informed decisions, optimizing resources, and maximizing profitability.

These examples highlight how algebraic concepts enable problem-solving and provide valuable tools for individuals in various fields, including business and entrepreneurship.

For more such questions on profitability

https://brainly.com/question/29982132

#SPJ8

Answer:

A =12.92 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

A = 1/2 ( 7.6) ( 3.4)

A =12.92 cm^2

Answer:

\( = 12.92 {cm}^{2} \)

Step-by-step explanation:

\(area = \frac{1}{2} \times b \times h \\ = \frac{1}{2} \times 7.6 \times 3.4 \\ = \frac{25.84}{2} \\ = 12.92 {cm}^{2} \)

hope this helps

brainliest appreciated

good luck! have a nice day!

After we Evaluate the determinant, in which the entries are functions, we get the determinant as: det = e^(18x).

To evaluate the determinant, we can use the properties of determinants. First, let's expand the determinant along the first column:

det = e(7x) * (e(4x)*9e(7x) - 8e(4x)*e(7x))

Next, simplify the expression inside the parentheses:

det = e(7x) * (9e(11x) - 8e(11x))

Now, combine like terms:

det = e(7x) * e(11x) * (9 - 8)

Simplify further:

det = e(7x) * e(11x) * 1

Since the base of the exponential function is the same (e), we can add the exponents:

det = e(7x + 11x) * 1

Combine like terms:

det = e(18x) * 1

Finally, the determinant can be expressed as:

det = e^(18x)

Note that the determinant is a scalar value, not a function, and it is equal to e^(18x).

Learn more about the determinant from the given link-

https://brainly.com/question/16981628

#SPJ11

The sampling technique is called "simple random sampling."

In the field of statistics, the process of sampling is used to select a subset of individuals or units from a larger population to study and analyze.

The goal of sampling is to gather data that can be used to make accurate and reliable inferences about the characteristics of the entire population.

One of the most common and straightforward methods of sampling is simple random sampling.

In this technique, each member of the population has an equal chance of being selected to be a part of the sample.

The process of selecting individuals for the sample is usually done through a randomization process, which ensures that each member of the population has an equal probability of being chosen.

Simple random sampling is considered to be an unbiased method of sampling because it ensures that all members of the population have an equal chance of being selected.

This helps to minimize the potential for sampling bias, which is a type of error that can occur when the sample selected is not representative of the entire population.

To implement simple random sampling, researchers can use various methods, including a random number generator or drawing names from a hat.

The sample size required for simple random sampling will depend on the size of the population and the level of precision required for the study.

Overall, simple random sampling is a powerful tool for gathering data that can be used to make accurate and reliable inferences about the characteristics of a larger population.

For similar question on sampling.

https://brainly.com/question/27829028

#SPJ11

In order for a set of three numbers to represent the lengths of the sides of a triangle, the sum of any two sides must be greater than the third side. This is known as the triangle inequality theorem.

Let's check if the set of numbers 7, 8, and 13 satisfies this theorem. We can try adding the smallest two sides together: 7 + 8 = 15. Is 15 greater than the longest side, which is 13? No, it's not. Therefore, this set of numbers cannot be used to make a triangle.

To further explain, if we were to try to construct a triangle with sides of length 7, 8, and 13, we would find that the two shorter sides would not be able to connect to form a triangle. Instead, they would form a straight line, leaving the longest side (13) disconnected.

In summary, the set of numbers 7, 8, and 13 cannot be used to make a triangle because it violates the triangle inequality theorem. To form a triangle, the sum of any two sides must be greater than the third side.
If the given set of numbers (7, 8, 13) can represent the lengths of the sides of a triangle. To do this, we need to apply the Triangle Inequality Theorem. This theorem states that in any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side.

Let's consider the three numbers as side lengths of a potential triangle: side A = 7 units, side B = 8 units, and side C = 13 units. We will check the Triangle Inequality Theorem for each combination of side lengths:

1. A + B > C: 7 + 8 > 13 (15 > 13) - True
2. A + C > B: 7 + 13 > 8 (20 > 8) - True
3. B + C > A: 8 + 13 > 7 (21 > 7) - True

All three conditions of the Triangle Inequality Theorem are true, which means that the given set of numbers (7, 8, 13) can indeed represent the lengths of the sides of a triangle. Therefore, this set of numbers can be used to make a triangle.

Learn more about triangle inequality theorem here: brainly.com/question/32024970

#SPJ11

To get this answer, we'll use the cosine ratio

cos(angle) = adjacent/hypotenuse

cos(A) = AC/AB

cos(35) = b/c

cos(35) = b/280

280*cos(35) = b

b = 280*cos(35)

b = 229.362572400918

b = 229

When you use your calculator, make sure it's in degree mode.

Answer:

4 hours in the grocery store

Step-by-step explanation:

x for restaurant, y for grocery store

\(\left \{ {{5x+5.5y=82} \atop {x+y=16}} \right.\)

\(\left \{ {{5x+5.5y=82} \atop {x=16-y}} \right.\)

Substitute.

- 5y + 5.5y + 80 = 82

0.5y = 2

y = 4

x + 4 = 16

x = 12

Answer:

7.446e+7

Step-by-step explanation:

Answer

74479055.3 miles per year

Step-by-step explanation:

this is the conversions :

1mile=1609 meters

1000metere=1km

3600sec= 1hour

24 hours= 1 day

356days=1 year

3.8 km / s

( 1000 m / 1 km ) ( 1 mile / 1609 meters ) ( 3600 s / 1 h ) ( 24 hours / 1 day ) ( 365 days / 1 year )

Answer:

it should be a 90-degree angle or right triangle

Step-by-step explanation:

Answer: 626

Step-by-step explanation:

595 will be approved.

Step-by-step explanation:

Multiply 680 by 0.92:  the result is 625.6, which should be rounded up to 626

Answer:

1/4

Step-by-step explanation:

5 plus 7 equals to 12

3 football games

3/12=1/4

Answer:

Step-by-step explanation:

f/4-5=-9

f-4*5/4=-9

f-20/4=-9

f-20=-9*4

f-20=-36

f=-36+20

f=-16

Answer:

f/4 - 5 = -9

f-20/4=-9

f-20=-9×4

f-20=-36

f=-36+20

f=-16

Answer: whatdidshesay

Step-by-step explanation:

Answer:

Noise level increase by 1.5 per unit increase in number of persons

Step-by-step explanation:

The slope, m of a linear model is the value which represents the unit change in the dependent variable due to a unit chahe in the independent dependent.

The maximum noise in decibel is the dependent variable while the number of persons is the independent variable. Hence, the Coefficient of the independent vatiabkw is the slope and gives the rate of change in the dependent variable per unit Change in the independent variable.

Gabriel would have $45,985.67 more than Ava in his account. This is because Gabriel's account is compounded daily, meaning that his interest would be compounded 365 times a year, while Ava's account is compounded continuously,

Compounding is the process of combining two or more elements to create a new, more complex product. In finance, compounding refers to the interest earned on an investment that is reinvested and earns additional interest. This cycle continues, allowing the principal to grow exponentially over time. The effective rate of return is greater than the stated interest rate.

The calculation for Gabriel's account is: 23,000 * (1.11^(365*8)) = $69,985.67. The calculation for Ava's account is: 23,000 * e^(0*8) = $24,000. The difference between the two is $45,985.67.

To learn more about compounded
https://brainly.com/question/24274034
#SPJ1

Answer:997

Step-by-step explanation:

Answer:

A. 10 cm

Step-by-step explanation:

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

Learn more about syntactic distinction here:

https://brainly.com/question/13652469

#SPJ4

Answer:

So Adam has eaten 1/6 of the pizza.  :)  ;)

Step-by-step explanation:

Assuming the pizza is cut into 8 equal pieces (which would each be 45 degrees of the total 360 degrees of the pizza), we can calculate how much of the pizza Adam has eaten with the given information.

First, we add up the angles of the two pieces Adam has eaten:

35 degrees + 25 degrees = 60 degrees

This means that Adam has eaten 60 degrees out of the total 360 degrees of the pizza. To convert this to a fraction, we divide 60 by 360:

60 / 360 = 1/6

So Adam has eaten 1/6 of the pizza.

tnx.. brainiest please...tnx

Simplifying the fraction by dividing both the numerator and denominator by 7: 7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

Let's begin with the solution by calculating the fraction of the pizza that has been consumed:

Pizza's central angle = 360°

The central angle of Adam’s first piece = 35°

The central angle of Adam’s second piece = 25°

The total central angle of Adam's pizza pieces = 35° + 25° = 60°

The fraction of pizza was eaten by Adam = (Total central angle of Adam's pizza pieces)/(Central angle of one whole pizza)Fraction of pizza eaten by Adam = 60/360 = 1/6So,

Adam has eaten 1/6 of the pizza. Now, we can represent 1/6 as a fraction in which the numerator and denominator have the same value.

We do this by multiplying the numerator and denominator of the fraction by 7/7.

Thus, we get:1/6 = (1 × 7)/(6 × 7) = 7/42Therefore,

Adam has eaten 7/42 of the pizza.

Simplifying the fraction by dividing both the numerator and denominator by 7:7/42 = (1 × 7)/(6 × 7) = 1/6Hence, Adam has eaten 1/6 or 7/42 of the pizza.

Learn more about the numerator here

https://brainly.com/question/7067665

#SPJ11

Answer:

Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .

Mathematical operations including addition, subtraction, multiplication, and division are required. They result in the following when combined: An equation, some information, and an arithmetic operator Values, parameters, and operations like adds, omissions, multiplications, and divisions make up a statement of fact. Different phrases and words can be contrasted and compared.

Here,

Given :

=> 2x² / x² -1

=> 2x² / x² -1  *  x² -1 /x² -1

=> 2x²(x²-1) / (x² -1)²

=> 2x⁴ - 2x² / (x⁴ + 1 - 2x²)

=>  2x² (2x² - 1 ) / (x⁴ + 1 - 2x²)

Therefore , the solution of the given problem of expression comes out to be 2x² (2x² - 1 ) / (x⁴ + 1 - 2x²) .

To know more about expressions visit :-

brainly.com/question/14083225

#SPJ1

Answer:

30.1 Metres

Step-by-step explanation:

For this problem, we will use the law of sines twice to find the height of the tree.

First, you need to draw the image of the tree with two triangles, one with an angle of 34 degrees, and the second with an angle of 41 degrees, both being a right triangle toward the tree.  The distance between point A and point B should be 10 meters.

From here, your bottom line of the triangle should be represented as 10 + x for the unknown distance from where Sophie stood to the tree.  The x represents the distance from point B to the tree, whereas 10 + x represents the distance from point A to the tree.

Now, let's use the scalene triangle created by the distance between point A and point B to the top of the tree, to calculate the diagonal distance from point B to the top of the tree.

Using this scalene, we have the angles, 34, 7, and 139.  Now, use the law of sines to find the diagonal of point B to the top of the tree represented by r.

sin(7) / 10 == sin (34) / r

r == 10 * sin (34) / sin(7)

r == 10 * .55919 / .12187

r == 45.88

Now that we know this diagonal distance, we can use the law of sines again with the second triangle, 41, 49, 90, to find the height of the tree represented by y.

sin(41) / y == sin(90) / 45.88

y == 45.88 * sin(41) / sin(90)

y == 45.88 * .65606 / 1

y == 30.1

So the height of the tree to the nearest tenth of a metre would be 30.1 metres.

Cheers.

Answer:

Step-by-step explanation:

tan(34°)≈0.6745         tg(41°)≈0.8693

\(\tan(34^o)=\dfrac h{x+10}\\\\\tan(34^o)(x+10)=h\\\\x+10=\dfrac h{\tan(34^o)}\\\\x=\dfrac h{\tan(34^o)}-10\)                               \(\tan(41^o)=\dfrac hx\\\\x\tan(41^o)=h\\\\x=\dfrac h{\tan(41^o)}\)

\(\dfrac h{\tan(34^o)}-10=\dfrac h{\tan(41^o)}\\\\ h\tan(41^o)-10\tan(34^o)\tan(41^o)=h\tan(34^o) \\\\ h\tan(41^o)-h\tan(34^o)=10\tan(34^o)\tan(41^o) \\\\ h[\tan(41^o)-\tan(34^o)]=10\tan(34^o)\tan(41^o)\\\\h=\dfrac{10\tan(34^o)\tan(41^o)}{\tan(41^o)-\tan(34^o)}\\\\\\h\approx \dfrac{10\cdot0.6745\cdot0.8693}{0.8693-0.6745}=\dfrac{5.8634285}{0.1948}\approx30.1\ m\)

Answer:

Step-by-step explanation:

Pretty sure that is the answer.