Simplify: (ab)³⁷• (ab)⁴²•(ab)⁵¹

need explanation plss :)​

The correct notation of A is a subset of B is A⊆B( option B)

A set is a collection of objects or elements.Subsets are a part of one of the mathematical concepts called Sets, grouped in the curly braces, such as {a,b,c,d}.

The elements of sets could be anything such as a group of real numbers, variables, constants, whole numbers, etc. It consists of a null set as well.

If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.

Therefore the correct notation of A is a subset of B is A⊆B.

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Answer:

2x + 1/2 sq. ft

Step-by-step explanation:

Surface area = 2(lw+wh+lh)

Given

length l = x ft

width w = 1/2 ft

height h = 1/2ft

Substitute

Surface area = 2(x(1/2)+(1/2)(1/2)+x(1/2))

Surface area = 2(x/2+1/4+x/2)

Surface area = 2(2x/2 + 1/4)

Surface area = 2(x + 1/4)

Surface area = 2x + 2/4

Surface area = 2x + 1/2 sq. ft

Answer:

i agree with c

Step-by-step explanation:

The probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country is 2 x 10⁻⁶³

Probability is a mathematical concept that describes the likelihood of a specific event occurring within a set of possible outcomes

Let's start by defining some terms. The force of mortality, also known as the death rate, is the number of deaths per unit time per unit of population.

The probability of survival is the chance that an individual will live past a certain age. In our case, we want to know the probability of surviving from age 30 to age 40 while living in country A.

To calculate the probability of survival, we will use the formula:

\(P(x) = e^{-qx}\)

Where P(x) is the probability of survival at age x and qx is the force of mortality at age x.

First, we will calculate the force of mortality for the first five years after arrival in country A using the equation given in the question:

90x+1 = (6 - 1)9x+1

For x = 30, we have:

90(30) + 1 = (6 - 1)9(30) + 1

2701 = 5 * 891 + 1

2701 = 4445 + 1

2700 = 4445

So, q30 = 4445/30 = 148.5

Next, we will use this value to calculate the probability of survival for the first five years in country A:

\(P30 = e^{-q3} = e^{-148.5} = 1.2 \times 10^{-64}\)

Since the force of mortality for those who have lived in country A for at least five years is 50% greater than the US Life Tables, 2002, Females, we can calculate the force of mortality for the next 10 years as follows:

qx = 1.5 x qx from US Life Tables

Using the values from Table 3.11, we have:

q31 = 1.5 x 98,424 = 147,636

q32 = 1.5 x 98,362 = 147,543

q33 = 1.5 x 98,296 = 147,444

q34 = 1.5 x 98,225 = 147,338

q35 = 1.5 x 98,148 = 147,222

q40 = 1.5 x 97,500 = 146,250

Finally, we can use these values to calculate the probability of survival from age 31 to age 40:

\(P31 = e^{-q31} = e^{-147,636} = 1.3 \times 10^{-65}\\ \\P32 = e^{-q32} = e^{-147,543} = 1.4 \times 10^{-66}\\\\P33 = e^{-q33} = e^{-147,444} = 1.5 \times 10^{-67}\\\\P34 = e^{-q34} = e^{-147,338} = 1.6 \times 10^{-68}\\\\P35 = e^{-q35} = e^{-147,222} = 1.7 \times 10^{-69}\\\\P40 = e^{-q40} = e^{-146,250} = 2.0 \times 10^{-63)}\\\\\)

Complete Question:

When posted overseas to country A at age x, the employees of a large company are subject to a force of mortality such that, at exact duration t years after arrival overseas (t = 0,1,2,3,4), 90x+1 = (6 - 1)9x+1 where qx+t is on the basis of US Life Tables, 2002, Females. For those who have lived in country A for at least five years the force of mortality at each age is 50% greater than that of US Life Tables, 2002, Females, at the same age. Some lx values for this table are shown in Table 3.11.

An extract from the United States Life Tables, 2002,

Females. Age,

x 30 31 32 33 34 35 40

1x 98,424 98,362 98,296 98,225 98,148 98,064  97,500

Calculate the probability that an employee posted to country A at age 30 will survive to age 40 if she remains in that country.

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Answer:

Step-by-step explanation:

Answer:

1, 2, 3, 6, 13, 26, 39, and 78

Step-by-step explanation:

:)

Given,

The equation of table is

Here,

Hence, the output of the table is F, F, F, and T

Answer:

There is only 1 solution, and it is ½

Step-by-step explanation:

-46x - 23 = 46x + 23

46x + 46x = 23 + 23

92x = 46

x = 46 / 92

x = ½

The correct answer is 8 cm.

Given the surface area = 518 cm²

breadth of the cuboid = 11 cm

height of the cuboid = 9 cm

Now let l be the length of the cuboid,

The total surface area (TSA) of a cuboid is provided by the sum of the areas of its six rectangles, where l, b, and h are the length, width, and height, respectively

Cuboid's total surface area formula,

Thus the surface area of the cuboid = 2(lb+bh+lh)

518 = 2 ( l × 11 + 11 × 9 + l × 9 )

518 = 2 (11l + 99 + 9l)

259 = 11l +99 +9l

259 - 99 = 20 l

160/20 =l

length = 8 cm

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Answer:

12,789

Step-by-step explanation:

Answer:

\(\huge\boxed{12,789}\)

Step-by-step explanation:

Ten thousands = 10,000 * 1 = 10,000

2 thousands = 1000 * 2 = 2000

7 hundreds = 100 * 7 = 700

8 tens = 10 * 8 = 80

9 ones = 1 * 9 = 9

Adding them all:

=> 10,000 + 2,000 + 700 + 80 + 9

=> 12,789

Hope this helped!

The completed calculation with regards to the area of the congruent triangles can be presented as follows;

The distance formula indicates;

AM = √((x₂ - x₁)² + (y₂ - y₁)²)

Therefore, we get;

AM = √((4 - 0)² + (0 - 0)²) = √(4²)

AM = √(4²) = 4

BM = √((x₂ - x₁)² + (y₂ - y₁)²)

BM = √((4 - 4)² + (6 - 0)²) = √(6²)

BM = √(6²) = 6

AM ≅ CM Definition of the midpoint of AC

AM = CM Definition of congruent segments

CM = 4 Substitution property

Area ΔABM

A = (1/2)·b·h

= (1/2) × 4 × 6

= 12

Area ΔCBM

A = (1/2)·b·h

= (1/2) × 4 × 6

= 12

Therefore Area ΔABM = area ΔCBM by congruence

Triangles are congruent if they have the same size and shape.

The details of the reasons for the calculation steps and values are presented as follows;

Definition of midpoint of a segment

The midpoint of a line segment is the point that divides the segment into two parts of the same length

Definition of congruence?

Congruence refers to the existence of compatibility or harmony between objects, which in geometry indicates that the two geometric figures have the same measurement

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a.) The value of pulses exported by US in billion would be=30 billion.

b.) The ratio of wheat export of UK to maize export of IND would be= 6:5

For question a.)

To calculate the pulses, the following steps should be taken as follows:

From the bar chart, the value of pulses in billions = 30 billions.

For question b.)

The ratio of wheat export at UK and maize export at IND would be calculated as follows:

The quantity of wheat export at UK = 24

The quantity of maize export at IND = 20

Therefore, the ratio of wheat to maize = 24:20= 6:5

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Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Answer: 1085

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

We want the average arrests to be 4. It can be done by calculating the average between the average arrests and arrests during the 5th week, so we get:

Avg(1,2,3,4,5) = (Avg(1,2,3,4) + A(5)) / 2

Where Avg(x) is the average of arrests in given weeks, and A(x) is the number of arrests in a given week.

Solving for A(5) => A(5) = 2*Avg(1,2,3,4,5) - Avg(1,2,3,4) = 2 * 4 - 3 = 8-3 = 5

Answer:

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

Step-by-step explanation:

A quadratic function is given to us . And we need to fill out the table by using the function . The given function is ,

\(\rm\implies y = x^2+x - 6 \)

Here we need to substitute the different values of x , to get the different values of y.

Put x = -3 :-

\(\rm\implies y = 3^2-3-6\\ \)

\(\rm\implies y = 9 - 3 - 6 \\\)

\(\rm\implies y = 0 \)

Put x = -2 :-

\(\rm\implies y = 2^2-2-6\\ \)

\(\rm\implies y = 4 -2-6\\\)

\(\rm\implies y = -4 \)

Put x = -1 :-

\(\rm\implies y = -1^2-1-6\\\)

\(\rm\implies y = 1 -1-6 \\\)

\(\rm\implies y = -6 \)

Put x = 1 :-

\(\rm\implies y = 1^2+1-6\\ \)

\(\rm\implies y = 2 -6\)

\(\rm\implies y = -4\)

Put x = 2 :-

\(\rm\implies y = 2^2+2-6\\ \)

\(\rm\implies y = 4 +2-6\\ \)

\(\rm\implies y = 2\)

Put x = 3 :-

\(\rm\implies y = 3^2+3-6\\ \)

\(\rm\implies y = 9 +3-6\\ \)

\(\rm\implies y = 6 \)

Final table :-

\(\boxed{\begin{array}{c|c|c|c|c|c|c|c} \bf x &\rm -3 &\rm -2 &\rm -1 &\rm 0 &\rm 1 &\rm 2 &\rm 3 \\\\ \bf y & \rm 0 &\rm -4 &\rm -6&\rm -6 &\rm -4&\rm 2 &\rm 6 \end{array}}\)

9514 1404 393

Answer:

  C.  3x∛(y²z)

Step-by-step explanation:

The relevant rules of exponents are ...

  \(\sqrt[n]{a^m} = a^\frac{m}{n}\\\\(a^b)^c=a^{bc}\)

__

Your expression can be rewritten and simplified as follows.

  \(\displaystyle\sqrt[3]{27x^3y^2z}=(3^3x^3y^2z)^\frac{1}{3}=3xy^\frac{2}{3}z^\frac{1}{3}=3x(y^2z)^\frac{1}{3}=\boxed{3x\sqrt[3]{y^2z}}\)

Answer:

d d ddddddddddddddddd

The best assessment of the linearity of the relationship between the day of the month and account balance would be "Because the residual plot has no obvious pattern, and the scatterplot appears linear, it is appropriate to use the line of best fit to predict the account balance based on the day of the month."The correct answer is option C.

When assessing linearity, it is important to examine both the scatterplot and the residual plot. The scatterplot is used to visualize the relationship between the variables, while the residual plot helps us assess the appropriateness of a linear model by examining the pattern of the residuals (the differences between observed and predicted values).

If the scatterplot appears reasonably linear, it suggests that there is a linear relationship between the variables. In this case, since the scatterplot appears linear, it supports the use of a linear model to predict the account balance based on the day of the month.

Furthermore, the residual plot is used to check for any patterns or systematic deviations from the line of best fit. If the residual plot exhibits no obvious pattern and the residuals appear randomly distributed around zero, it indicates that the linear model captures the relationship adequately.

Therefore, if the residual plot shows no obvious pattern, it provides further evidence in favor of using the line of best fit to predict the account balance based on the day of the month.

In conclusion, when the scatterplot appears linear and the residual plot shows no obvious pattern, it is appropriate to use the line of best fit to predict the account balance based on the day of the month.

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Answer:

person above

Step-by-step explanation:

the obvious

Answer:

1

Step-by-step explanation:

Answer:

(2/5,0)

Step-by-step explanation:

The equation to find a line is mx+b=y. In this case m is 5, and b is -2.

5x+-2=y

Since we want to find the x-intercept, y has to be 0.

So: 5x+-2=0

5x=2

x=2/5

When viewed through the magnifying glass, the termite appears to be approximately 1.58 mm in length.

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Answer:

g(-2)=0

Step-by-step explanation:

> g(-2)=(-2)²+(-2)-2

> g(-2)=4-4

> g(-2)=0

Hello!

g(x)=x^2+x-2

g(-2)=(-2)^2+(-2)+2

g(-2)=4-2+2

g(-2)=4

Hope it helps!

~Just a cheerful gal

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Answer given by

\(SilentNature\)

Intersection: { }

Union: {a, b, d, f, g, h}

Answer:

Starting with:

-15 > -11 + w

Add 11 to both sides:

-15 + 11 > w

Simplifying:

-4 > w

Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:

w < -4

4 use a calculator 3/.75=4

Answer:

49 + 28 = 7(7 + 4)

Step-by-step explanation:

49 bags of soil one week

28 bags of soil the next week

49 + 28 bags of soil purchased in total

Find the GCF (Greatest Common Factor) of 49 and 28.

49/7 = 7

28/7 = 4 (GCF is 7 since it is the largest number that can divide both 49 and 28 equally)

Factor out the GCF + rewrite division above (optional for visualization)

49/7 = 7 -> 49 = 7 * 7

28/7 = 4 -> 28 = 7 * 4

49 + 28 = 7(7 + 4)

Let me know if you have any questions!

A percentage is a fraction that has a denominator of 100. The percentage formula to determine x% of y is

1. 10% of 75

2. 1% of 75

3. 0.1% of 75

4. 0.5% of 75

Answer:

Yes

Step-by-step explanation:

To know if a table is a function or not, we have to see if 1 input only has 1 output.

Looking at the table each input only has 1 output, so it is a function.