g(a) = 2a - 1
hla) = 3a – 3
Find (g. h)(-4)

If two events, event A with probability P(A) and event b with probability P(B) are complementary events then the sum of the probability of events A and B will be one.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

When one event happens if and only if the other one doesn't, two occurrences are said to be complimentary. The odds of two complementary events equal one.

P(A) + P'(A) = 1

The chance of events A and B added together will equal one if events A with probability P(A) and event B with probability P(B) are complementary occurrences.

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Answer:

20/100 x 100

= 20

116.1/100 x 62

= 71.982

=72[round off]

hence, 72 + 20 = 92

hence the answer b)116.1% is correct

Answer:

44554

Step-by-step explanation:

We have that the ratio for the length is 10/6 = 5/3.

Then we have that:

Then,

The ratio of the lengths is 5/3 : 1

The ratio of the areas is 25/9 : 1

Answer:

the answer is 36

Step-by-step explanation:

So, in order to round properly, anything under 4 goes down to zero and anything 5 or above goes UP to the nearest zero. it all depends on your desired number that you're rounding to.

EX: 69.436

hundredth place-   69.44

tenths place - 69.4

whole #-   69

hope this makes sense, youll get it eventually, i promise

Answer:

$5.25

Step-by-step explanation:

The cost of 7 oranges is $5.25

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given;

Cost of 3 Oranges= 2.25

So, the cost of 1 orange= 2.25 / 3

                                       = 0.75

Now, the cost of 7 oranges

= 0.75 x 7

= $5.25

Hence, the cost of 7 oranges is $5.25

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Answer:

#1

#2

#3

Answer:

Interest rate = 2.41%

Step-by-step explanation:

The total value of an investment was $305.33 after $240 was invested for 10 years compounded monthly. Find the interest rate.

The formula to calculate the Interest rate for a Compound Interest is given as:

Solving for rate r as a decimal

r = n[(A/P)^1/nt - 1]

r = 12 × [(305.33/240.00)^1/(12)(10) - 1]

r = 0.0240996

Then convert r to R as a percentage

R = r * 100

R = 0.0240996 * 100

R = 2.41%/year

Therefore, the Interest rate = 2.41%

When you sample so that every combination of individuals in your population has an equal chance of being chosen, you are taking a Simple Random Sample (option B).

A Simple Random Sample is a type of probability sampling method where each individual in the population has an equal probability of being chosen for the sample. This means that every possible combination of individuals in the population has an equal chance of being selected.

The selection of individuals is usually done through a random process, such as using a random number generator or a random sampling technique.

In contrast, a Stratified Random Sample (A) involves dividing the population into strata or subgroups based on certain characteristics and then taking a random sample from each subgroup. This method ensures that the sample is representative of the entire population, particularly if the subgroups are chosen based on characteristics that are relevant to the research question.

A Cluster Sample (C) involves dividing the population into clusters or groups, such as neighborhoods or schools, and then taking a random sample of clusters to represent the entire population. This method is often used when it is difficult or expensive to obtain a complete list of individuals in the population, as is the case in large-scale surveys.

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Answer:

15 x ^6 − 20 x ^5 + 10 x ^4

Step-by-step explanation:

Answer:

15x^6 - 20x^5 + 10x^4

Step-by-step explanation:

−5x^4(−3x^2+4x−2)

15x^6 - 20x^5 + 10x^4

Answer:

\(m=-8\)

Step-by-step explanation:

\(2m+6=-10\\2m=-16\\m=-8\)

Invisible Steps:

Subtract 6 on each side:

\(2m+6-6=2m\)

\(-10-6=-16\)

Divide by 2 on each side:

\(2m\) ÷ \(2=m\)

\(-16\) ÷ \(2=-8\)

Answer:

7.2 = 7 1/5

divide five by 36

Step-by-step explanation:

530pm = 17:50 in 24hr/military time

915pm = 21:15 in 24hr/military time

therefore..

24hr/military time. 21:15 - 17:50 = 3.65hr

our time. 3hr 45min

It took Sarah 3 hours and 45 minutes to finish her homework

The answer in 24 hour clock system is 3:45

The calculation can be done as follows

Sarah started her home work at 5:30 pm

She finished at 9:15pm

The time range here is 3 hours, 45 minutes

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Answer:

AC is greater than BC because segment AC is the hypotenuse of right triangle ABC, and the hypotenuse is the longest side of a right triangle.

The hypotenuse is the longest side of the triangle. Side AC of the triangle is its hypotenuse, thus greater than BC (segment and angle theorem of a triangle).

A triangle is a shape with three side and angles. Its longest side is referred to as hypotenuse. And this side is usually opposite to the greatest angle. Examples of triangle include: equilateral, isosceles, acute, right angles, obtuse angle etc.

The given question shows that triangle ACB is a right angled triangle. This is because <CBY = \(90^{o}\).

So that;

<CBY + <CBA = \(180^{o}\)

Now comparing side AC with BC:

The segment and angle theorem of a triangle states that: the longest side of a triangle is always opposite to the greatest angle.

Thus, since <CBA is the greatest of the angles here, then AC is the longest side.

Therefore, the side AC is the hypotenuse of the triangle and it is greater than BC.

A sketch to this question is attached to this answer for more clarifications.

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The unit price of the oranges bought by the three friends is $3.50 per pound.

Lamar bought 2 pounds for $7 , unit price = 7 / 2 = $ 3.5 per pound

Enrico bought 5 pounds for $17.50 , unit price = 17.50 / 5 = $ 3.5 per pound

Anna bought 3 pounds for $10.50 , unit price = 10.5/ 2 = $3.5 per pound

Hence we can see that the unit price rate for the oranges is $3.50 .

The average price of a product is calculated by dividing the total sales income by the number of units sold. Managers must supply "similar" units when a single product is given in many variations, such as different bottle sizes.

By weighting different unit selling prices higher by unit sales mix (%) for each single variant, the determination of average pricing is made practicable. We obtain pricing per statistical unit when we employ a standard rather than a genuine range of sizes and product types.

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The total percent of the markdown is approximately 3%. To find the total percent of the markdown, we need to subtract the discounts from 100% and then multiply them together.

First, let's convert the discounts to decimal form: 55% = 0.55, 35% = 0.35, and 15% = 0.15.

Next, we'll subtract the discounts from 100%:

100% - 55% = 45%
45% - 35% = 10%
10% - 15% = -5%

Oops! We ended up with a negative number, which means we made an error somewhere. Let's go back and check our work.

The mistake was in subtracting 15% from 10%. We should have added it instead:

10% + 15% = 25%

Now we can multiply the discounts together:

0.55 x 0.35 x 0.15 = 0.0289

Finally, we'll convert the decimal to a percentage and round to the nearest percent:

0.0289 x 100% = 2.89%, rounded to 3%.

So the total percent of the markdown is approximately 3%.

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Answer:

H

Step-by-step explanation:

Hello!

An inequality is easy to read if we know how to read it. Domain is the x values that the line goes through.

When a dark closed circle is on a graph, it means that number counts as apart of domain and range.

-6 is circled, which means in the graph, -6 is apart of the domain.

If a open closed circle is on a graph, it means that the number is skipped in the domain and range.

8 is open, which means 7.9999999999 is a valid domain and 8.0000001 (and any examples) are valid, but 8 is not.

This helps us conclude that H is the only possible answer.

The rank of matrix A can be determined based on the given information in the question is as follows.

The rank of a matrix refers to the maximum number of linearly independent columns (or rows) in the matrix. From the given information:

a. Since A has linearly independent columns, the rank is equal to n, where n is the number of columns.

b. If Null(A)={0}, it means that the only solution to the homogeneous equation Ax=0 is the trivial solution (where x=0). This implies that the columns of A are linearly independent. Since A is a 6-by-4 matrix, the rank is equal to the number of columns, which is 4.

c. The dimension of the null space (denoted as dim(Null(A))) is equal to the number of linearly independent solutions to the homogeneous equation Ax=0. In this case, dim(Null(A))=3, which means that there are 3 linearly independent solutions. Since A is a 5-by-6 matrix, the rank can be found by subtracting the dimension of the null space from the number of columns: rank(A) = 6 - dim(Null(A)) = 6 - 3 = 3.

d. The determinant of a square matrix measures its invertibility. If det(A) is non-zero, it means that A is invertible, and an invertible matrix has full rank. Therefore, the rank of A is equal to the number of columns, which is 3.

e. The dimension of the row space (denoted as dim(Row(A))) represents the number of linearly independent rows in A. Since dim(Row(A))=3, it means that there are 3 linearly independent rows. Thus, the rank of A is 3.

f. An invertible matrix is non-singular and has full rank. Therefore, if A is a 4-by-4 invertible matrix, its rank is equal to the number of columns, which is 4.

g. If the system Ax=b has either a unique solution or no solution, it means that the column space of A has dimension 3. Hence, the rank of A is 3.

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Answer:

Hence the expression \($$(q-5)(q+8)=q^2+3q-40$$\)

Step-by-step explanation:

Explanation

\($$\frac{\begin{matrix}{} & {} & q & - & 5 \\ \times & {} & q & + & 8 \\ \end{matrix}}\)

_____________

\({\frac{\begin{matrix}{} & {} & 8q & - & 40 \\ {{q}^2} & - & 5q & {} & {} \\ \end{matrix}}{\begin{matrix}{{q}^2} & + & 3q & - & 40 \\ \end{matrix}}}$$\)

Answer:

B. 9

Can I please be brainliest???

Check the picture below.

Answer:

406

Step-by-step explanation:

0.7 % / 100 = 0.007

58000 * 0.007 = 406 acres

Answer:

find the midpoint of the line AB...

and plot it on the graph

The correct simplification of the expression is c12 (option c).

The expression (c^4)^3 can be simplified using the exponent rules for powers of a power, which states that when a power is raised to another power, we can multiply the exponents.

Thus, we have:

(c^4)^3 = c^(43) [Using the rule (a^m)^n = a^(mn)]

Simplifying the exponent 4*3, we get:

c^(4*3) = c^12

Therefore, the correct simplification of the expression is c^12.

Option (c) is the correct answer as it correctly represents the simplified form of the given expression. Option (a) c^-1, option (b) c^7, and option (d) c^64 are not correct because they do not follow the exponent rules used to simplify the expression.

In summary, the expression (c^4)^3 simplifies to c^12, which is option (c) in the given options.

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To ensure success in building customer relationships, the Marriott group of hotels requires its employees to have a customer-oriented attitude and take customer-oriented actions.

The success of the Marriott group of hotels in building relationships with customers relies on the attitudes and actions of its employees. A customer-oriented approach is crucial for fostering positive interactions and creating memorable experiences for guests. Employees with a customer-oriented attitude prioritize the needs and satisfaction of customers above all else. They actively listen to guests, show empathy, and strive to exceed expectations. Additionally, taking customer-oriented actions involves going the extra mile to personalize service, addressing individual preferences and requirements. This includes anticipating and fulfilling customer needs, providing timely and accurate information, and resolving issues promptly and efficiently. By being customer-oriented in both attitude and action, Marriott employees can enhance guest satisfaction, foster loyalty, and ultimately contribute to the overall success of the hotel group.

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Answer:

$1.80 per 4 mini muffins

Step-by-step explanation:

12 mini muffins = 5.40

divide by 3

4 mini muffins = 1.80

:]

49,400-20,000=29400

29400/24=1225 average miles per month

Answer:

i believe it would be 7.2

Step-by-step explanation:

Answer:

\(3x + x - 17 + 13 = 116 \\ 4x = 120 \\ x = 30 \\ g = 73 \\ h = 43\)