Which expression is represented by the phrase “the square of y decreased by quotient of 36 and 6”?

Answers

Answer 1

Answer:

√y-6

Step-by-step explanation:

36/6=6

36 is the dividend, 6 is the divisor and 6 is the quotient.

Answer 2

Answer:y^2-6 step by step

Step-by-step explanation:


Related Questions

A light bulb manufacturer claims that the mean life of a certain type of light bulb is 750 hours. If a random sample of 36 light bulbs has a mean life of 725 hours with a standard deviation of 60 hours. Use a=0.05

a. State the null and alternative hypotheses.
b. State the Type I and Type II errors.
c. Find the critical value. Do you have enough evidence to reject the manufacturer’s claim?
d. Find the p-value.
e. Construct a 95% confidence interval for the population mean.

Please show work if you can! Thank you!

Answers

a light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 720 hours.a random sample of 51 light bulbs as a mean of 712.8 hours with a population standard deviation of 62 hours at and a equals 0.05 can you support the company's claim using the test statistics?

If -7(y-3)= -14. What is the value of x?

Answers

Answer:

none

Step-by-step explanation:

no x because (y-3)=14 so the x wouldnt repeat

Answer:

y = 5

Step-by-step explanation:

-7(y-3)= -14

Divide each side by -7

-7/-7(y-3)= -14/-7

y-3 = 2

Add 3 to each side

y-3+3 = 2+3

y = 5

the belt (orbit) of the asteroids is located between . group of answer choices venus and mercury saturn and uranus jupiter and mars earth and mars

Answers

The main belt is not located between these all planets.

What is orbit?

A route that an object in space follows around another is known as an orbit. A satellite is a thing that orbits the earth. An Earth- or moon-like natural satellite is one possibility. Moons are satellites that orbit many planets. A man-made satellite is also possible, such as the International Space Station.

The belt of asteroids is located between the orbits of Mars and Jupiter. The asteroids in this region, known as the main belt, are made up of small rocky bodies that orbit the sun in a region between about 2.2 and 3.2 astronomical units (AU) from the sun.

The distance from the sun to the Earth is about 1 AU, and the distance from the sun to Venus is about 0.7 AU, so the main belt is located beyond the orbits of both Venus and Earth.

The orbits of Saturn and Uranus are much farther out from the sun, at distances of about 9.5 and 19.2 AU, respectively, so the main belt is not located between these planets.

Hence, The main belt is not located between these all planets.

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choose the correct statement of the rule; then complete the table for missing values. A merchant adds $3.00 to his cost to determine his selling price.

choose the correct statement of the rule; then complete the table for missing values. A merchant adds

Answers

We have to find a relation between selling price in function of cost C.

If C is the cost, then the selling price is a function of C: f(

What is the value of tan(60°)?
A
01
12
300
03
03
2.
В
60°
6
п
с

What is the value of tan(60)?A011230003032.606

Answers

Answer:

√3 is the answer

Step-by-step explanation:

the value of tan60 is √3

look at this system of exquations. y=2x-1 4x +y=2 which shows a correct step using substitution to solve the system of equations?

Answers

The solution to the system of equations is x = 0.5, y = 0

How to solve the system of equations?

The system of equations is given as:

y = 2x-1

4x + y=2

Substitute y = 2x-1  in 4x + y=2

4x + 2x-1  =2

Evaluate the like terms

6x = 3

Divide by 6

x = 0.5

Substitute x = 0.5 in y = 2x-1

y = 2 * 0.5 - 1

Evaluate

y = 0

Hence, the solution to the system of equations is x = 0.5, y = 0

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NO LINKS!!! URGENT HELP PLEASE!!!

Express the statement as an inequality.

a. x is negative
1. x = 0
2. x < 0
3. x > 0
4. x ≥ 0
5. x ≤ 0

b. y is nonnegative .
1. y < 0
2. y ≥ 0
3. y ≤ 0
4. y = 0
5. y > 0

c. q is less than or equal to π
1. q = π
2. q < π
3. q > π
4. q ≥ π
5. q ≤ π

Answers

Answer:

Step-by-step explanation:

a. x is negative: x < 0

b. y is nonnegative: y ≥ 0

c. q is less than or equal to π: q ≤ π

Answer:

a.

2. x < 0

b.

2. y ≥ 0

c.

5. q ≤ π

Step-by-step explanation:

To express the given statements as an inequality, we need to determine the relationship between the given quantities.

a. The statement "x is negative" means that x is less than 0. Mathematically, we can represent this as x < 0.

b. The statement "y is nonnegative" means that y is greater than or equal to 0. Mathematically, we can represent this as y ≥ 0.

c. The statement "q is less than or equal to π" means that the value of q is either equal to π or less than π. Mathematically, we can represent this as q ≤ π.



Simplify - 4 of u-2​

Answers

Answer:

it's 30

Step-by-step explanation:

30+4_2= dakukabilat

it’s 30!!!!!!!!!!!!!!!!!!!!!!!!!!

What is -20/2(7 2/3)

Answers

The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The sum of two consecutive odd integers
is 540. What are the integers?

Answers

Answer:

The integers are 269 and 271.

Step-by-step explanation:

Since the sum of two consecutive odd integers is 540, to determine what are the integers, the following calculation must be performed:

Odd integer 1: X

Odd integer 2: X + 2

X + X + 2 = 540

2X + 2 = 540

2X = 540 - 2

X = 538/2

X = 269

Therefore, the integers are 269 and 271.

10 Points please help with my calculus HW
A point moves along the curve y = squareroot of X , in such a way that the y-component of the position of the point is increasing at a rate of 5 units per second. At what rate is the x-component changing for each of the following values?
(a) x = 1/5
dx/dt = ___?___
(b) x = 1
dx/dt=___?___
(c) x=4
dx/dt = ___?___


Thank you

10 Points please help with my calculus HWA point moves along the curve y = squareroot of X , in such

Answers

The values based on the calculus computed will be 10✓5, 10✓1, and 20.

How to calculate the value?

dy/dt = 5 units.

Differentiate with respect to t.

dx/dt = 1/2✓x dx/dt

dyldt = 5.

dx/dt = 2✓x × 5 = 10✓x

a. When x = 1/5

dx/dt = 10 × ✓1/5 = 10✓5

b. x = 1

Differentiate it

dx/dt = 10✓1

c. x = 4

dx/dt = 10✓4 = 20

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(5.13x10^-2)-(3.9x10^-3)

Answers

Answer:

0.0474x if you want it simplify

Step-by-step explanation:

Answer:

The answer is

→ \(0.0474\)

Step-by-step explanation:

Step 1: Calculate the expression inside the parentheses.

\((5.13*10^-^2)-(3.9*10^-^3)\)

Step 2: Simplify exponents and square roots

\((5.13*10^-^2)-(3.9*10^-^3)\)

\(=(5.13*0.01)-(3.9*10^-^3)\)

Step 3: Perform any multiplication or division, from left to right:

\((5.13*0.01)-(3.9*10^-^3)\)

\(=(0.051)-(3.9*10^-^3)\)

\(=0.051-(3.9*0.001)\)

Step 4: Perform any multiplication or division, from left to right:

\(0.051-(3.9*0.001)\)

\(=0.051-(0.004)\)

\(=0.0474\)

Therefore, \(0.0474\) is your answer.

Hope this helped! :^)

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Ai chỉ cách làm cho mk vs ạ

Ai ch cch lm cho mk vs

Answers

I don’t understand sorry

-) Find the equation of the line that passes through (1,0) and (3,6).

Answers

The equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

To find the equation of a line passing through two points, we can use the slope-intercept form of a linear equation: y = mx + b, where m is the slope of the line and b is the y-intercept.

Given points:

Point 1: (1, 0)

Point 2: (3, 6)

Step 1: Calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the coordinates:

m = (6 - 0) / (3 - 1)

m = 6 / 2

m = 3

Step 2: Substitute one of the given points and the slope into the equation y = mx + b to find the y-intercept (b).

Using Point 1 (1, 0):

0 = 3(1) + b

0 = 3 + b

b = -3

Step 3: Write the equation of the line using the slope (m) and the y-intercept (b):

y = 3x - 3

Therefore, the equation of the line that passes through the points (1, 0) and (3, 6) is y = 3x - 3.

This equation represents a line with a slope of 3, indicating that for every increase of 1 unit in the x-coordinate, the y-coordinate increases by 3 units. The y-intercept of -3 means that the line crosses the y-axis at the point (0, -3). By substituting any x-value into the equation, we can determine the corresponding y-value on the line.

Hence, the equation of the line passing through (1, 0) and (3, 6) is y = 3x - 3.

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[80 POINTS]
A candlemaker uses 240 cubic centimeters of wax to create a scented candle using a cylindrical mold. He decides to offer a larger-sized candle, which uses twice as much wax as the smaller-sized candle.

Which mold can he use to make the larger-sized candle?

A. a cylinder with a height that is the same as the height of the original mold, and a radius that is double the radius of the original mold

B. a cylinder with a height that is double the height of the original mold, and a radius that is one-half the radius of the original mold

C. a cylinder with a height and a radius that are each double the length of those of the original mold

D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Answers

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold

Step-by-step explanation:

Answer:

Answer: a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold.

Step-by-step explanation:

The Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile. Find a linear function which models the taxi fare F as a function of the number of miles driven, m

Answers

The equation that models the taxi fare F as a function of the number of miles driven is F = 2.40 + 0.40m

What is an equation?

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, the Topology Taxi Company charges 2.40 for the first fifth of a mile and 0.40 for each additional fifth of a mile.

The function will be:

F = 2.40 + (0.40 × m)

F = 2.40 + 0.40m

where m = number of miles

F = taxi fare.

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One factor of f (x ) = 4 x cubed minus 4 x squared minus 16 x + 16 is (x – 2). What are all the roots of the function? Use the Remainder Theorem.

A factor of f(x) is (x – 1).
A factor of f(x) is (x + 1).
Both (x – 1) and (x + 1) are factors of f(x).
Neither (x – 1) nor (x + 1) is a factor of f(x).

Answers

The answer is option A) A factor of f(x) is (x – 1).

What is the remaining theorem?

Remainder Theorem is a method for dividing polynomials according to Euclidean geometry. This theorem states that when a polynomial P(x) is divided by a factor (x - a), which isn't really an element of the polynomial, a smaller polynomial is produced along with a remainder.

f(x) = 4x3 - 4x2 - 16x + 16 [Given]

One aspect is (x - 2)

The remaining theorem is used to:

Where q(x) is the quotient polynomial and r(x) is the remainder polynomial, f(x) = (x-2)q(x) + r(x).

As (x-2) is a factor of f, r(x) equals 0. (x)

f(x) = (x-2)·q(x) (x)

q(x) = f(x)/ (x-2) (x-2)

[4x3 - 4x2 - 16x + 16]/ (x - 2) (x - 2)

= [4x2 (x - 1) - 16 (x - 1)]

/ (x - 2) (x - 2)

By even more simplifying

= [(x - 1) (4x2 - 16)]

/ (x - 2) (x - 2)

excluding 4 as common

= [(x - 1) 4 (x2 - 4)]

/ (x - 2) (x - 2)

With the use of the algebraic formula a2 - b2 = (a + b) (a - b)

= [(x - 1) 4 (x + 2) (x - 2)]

/ (x - 2) (x - 2)

= [4 (x - 1) (x - 2) (x + 2)]

/ (x - 2) (x - 2)

The roots are therefore 2, -2, and 1.
there the ans is A) A factor of f(x) is (x – 1).

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ray BD is inside ABC so that M

Answers

A ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Then, the value of y is 5.

What is an angle bisector?

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts. In geometry, we usually divide a triangle and an angle by a line or ray which is considered an angle bisector.

Since we have been given that ray BD bisects ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12.Then, m∠ABD = m∠CBD.

So, 5y – 3=2y +12

5y-2y=12+3

3y=15

y=5

Therefore, the value of y is 5.

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The complete question is

Ray BD is inside ∠ABC so that m∠ABD = 5y – 3 and m∠CBD = 2y +12. Find the value of y.

y=9/4×2

sketch the graph of f and f on the same set of axes

Answers

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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y=9/42sketch the graph of f and f on the same set of axes

You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance the penny will fall is 16 feet the first second, 48 feet the next second, 80 feet the third second, and then it will continue falling at the same rate. How many feet will the penny fall during the 8th second?

384 feet
272 feet
256 feet
240 feet

You visit the tallest building in a city and drop a penny off the edge of the observation deck. The distance

Answers



The distance that an object falls due to gravity is given by the equation:

d = 1/2 * g * t^2

where d is the distance fallen, g is the acceleration due to gravity, and t is the time elapsed.

In this case, we are given that the penny falls 16 feet during the first second, 48 feet during the second second, and 80 feet during the third second. From this, we can see that the penny is falling with a constant acceleration of 32 feet per second per second (since the distance is increasing by 32 feet each second).

To find the distance that the penny falls during the eighth second, we can use the same equation as before, but with a value of t equal to 8 seconds:

d = 1/2 * g * t^2
d = 1/2 * 32 * 8^2
d = 1/2 * 32 * 64
d = 1024 feet

Therefore, the penny will fall 1024 feet during the eighth second.

(4m+3)9+6m +10n
Simplifeid

Answers

Answer:

42m+10n+27

Step-by-step explanation:

Adding like terms

Answer: look at the picture

Step-by-step explanation: Hope this help :D

(4m+3)9+6m +10nSimplifeid

If you were give the two points (1,5)(8,2) what would the slope be? Pls help!

Answers

Here is the answer and how to solve the problem. Hope this helps!
If you were give the two points (1,5)(8,2) what would the slope be? Pls help!

you rent an apartment that costs $1600 per month during the first year ,but the rent is set to go up 11.5% per year.what would be rent of the apartment during the 10th year of living in the apartment? round to the nearest tenth (if necessary ).​

Answers

Answer:

$4,750.

Step-by-step explanation:

To determine the rental value of the apartment in the tenth year, knowing that it is worth 1,600 during the first year but that it will be adjusted annually to 11.5%, the following calculation must be made:

X = 1,600 x (1 + 0.115) ^ 10

X = 4,751.91

Thus, at ten years, rounded to the nearest tenth, the rental value will be $ 4,750.

The rent of the apartment during the 10th year of living in the apartment is 4,751.9.

Rent of the apartment:

Let x represent the rent  of the apartment

Hence:

x= 1,600(1 + 0.115)^10

x=1,600(1.115)^10

x=4,751.9

Inconclusion the rent of the apartment during the 10th year of living in the apartment is 4,751.9.

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If a giraffe is 8 feet tall, what is its height in millimeters?

Answers

The giraffe would be 226534.8 ML.

Mario plays a game that involves drawing cards to move around the board. He uses a uniform probability model to determine the
probability that he will win on his next turn. There are 6 red cards, 6 yellow cards, 6 orange cards, 6 purple cards, 6 blue cards, 6
green cards, and 6 black cards. Mario needs either a purple or a green card to win on his next turn.
What is P (purple or green)?
o
ده
15
ob
ОО
이을
So I
0 1 / 3

Mario plays a game that involves drawing cards to move around the board. He uses a uniform probability

Answers

Answer:

2/7

Step-by-step explanation:

There are 6 each of 7 different colored cards.

Therefore, total number of cards = 7 × 6 = 42

So the probability of each color card being chosen = 6/42 = 1/7

⇒ P(purple) = 1/7

⇒ P(green) = 1/7

So P(purple or green) = P(purple) + P(green)

                                     = 1/7 + 1/7

                                     = 2/7

Given :

6 red cards 6 yellow cards 6 orange cards 6 purple cards 6 blue cards 6 green cards 6 black cards

To find:

The probability that the chosen card is either purple or green

Solution:

Total number of cards ⇢42 cards

6 red cards+6 yellow cards+ 6 orange cards+ 6 purple cards+ 6 blue cards+ 6 green cards + 6 black cards

Total number of required card 12 cards

6 purple cards + 6 green cards 12 cards

probability of getting a purple or green card↷

\(⇢probability = \frac{favourable \: outcomes} {possible \: outcomes}\\ \)

\(⇢ \frac{12}{42} \\ \)

\(⇢ \frac{2}{7} \\ \)

Hence , option 3 2/7 is correct

Provide the solutions of the quadratic equation below by using quadratic Formula: x^2+5x+1=0

Answers

The two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:

x = (-5 + √21) / 2

and

x = (-5 - √21) / 2

To find the solutions of the quadratic equation x^2 + 5x + 1 = 0 using the quadratic formula, we can apply the formula:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 1, b = 5, and c = 1. Substituting these values into the quadratic formula, we have:

x = (-(5) ± √((5)^2 - 4(1)(1))) / (2(1))

Simplifying:

x = (-5 ± √(25 - 4)) / 2

x = (-5 ± √21) / 2

Hence, the two solutions of the quadratic equation x^2 + 5x + 1 = 0 are:

x = (-5 + √21) / 2

and

x = (-5 - √21) / 2

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use the ressult of the simulation to explain why you think the smaple orvoideso r does not provide evidence that the standard deviation of the uice dispened exceeds .05 fluid onces

Answers

The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable  sum range of .05 fluid ounces or less.

The simulation did not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces, indicating that the variability of the juice dispensed was within the acceptable sum of range

The result of the simulation does not provide evidence that the standard deviation of the juice dispensed exceeds .05 fluid ounces because the simulation does not indicate any instances where the standard deviation of the juice dispensed was greater than .05 fluid ounces. This indicates that the variability of the juice dispensed was within the acceptable range of .05 fluid ounces or less.

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3. x² +(y + 2)2 = 64
Center:

Radius:

3. x +(y + 2)2 = 64Center:Radius:

Answers

Answer:

Center: (0, -2)

radius: 8

Explanation:

Given equation: x² + (y + 2)² = 64

The Circle Formula:

(x - h)² + (y - k)² = r²

where (h, k) are points of center. r denotes radius

So rewrite the equation in circle formula:

x² +(y + 2)² = 64

(x- 0)² +(y + 2)² = 8²

Identify followings:

h = 0, k = -2, radius = 8

3. x +(y + 2)2 = 64Center:Radius:

It is A (45). Hope this helps!

Answers

What do you need help with? :0

If the simple interest on ​$7,000 for 6 years is ​$2,940​, then what is the interest​ rate?

Answers

Answer:

The correct answer would be 7%

The interest rate would be about 7% if I am correct.

Hoped I help, If I did can you give me brainlest.

Have an amazing day!

Other Questions
Which table shows a proportional relationship between a and b?A. a b3 94 125 20B. a b20 2524 3032 40C. a b4 125 156 24D. a b3 46 912 16 Evaluate the function.f(x) = -x^2+3Find f(-2) Is the relation represented on the graph a function? Complete the explanation. Required information [The following information applies to the questions displayed below.] Jorgansen Lighting. Incorporated, manufactures heavy-duty street lighting systems for municipalities. The company uses variable costing for internal management reports and absorption costing for external reports to shareholders, creditors, and the government. The company has provided the following data: Year 1year 2year 3InventoriesBeginning (units)210150190Ending (units)150190230Variable costing net operating income$290,000$269,000$250,000The company's fixed manufacturing overhead per unit was constant at $560 for all three years. Required: Calculate each year's absorption costing net operating incomei (Enter any losses or deductions as a negative value.) Which of the following expression has 3 terms?A. 8x+y-zB. xyzC. y^3+1 Find the websites of three manufacturers, companies, individuals, organizations, teams, etc. within a single "industry", such as professional sports, cars, musicians, writers, restaurants, et al. Study the three sites, focusing on one of the following aspects of design: use of color quality of writing quality of the site map and/or index navigation, including the clarity and placement of links to other pages within the site accommodation of multicultural readers accommodation of people with disabilities phrasing of links After considering one of these aspects, which of the three sites is most effective? Which site is least effective? What suggestions would you make to the least effective site concerning improvements? In order for an organism to be classified as marine, it must spend at least _____ percent of its life in the marine environment. What would be the value for the ideal gas constant (R) if pressure (P) is in kilopascals, temperature (T)is in kelvins, volume (V) is in liters, and amount of gas (n) is in moles? Discuss items that may affect how a community perceives whether a risk actually exists and the acceptability of that risk. Be sure to address ways in which a public health worker may help convey content in a manner that is more likely to be accepted by the public; also be sure to address factors that may cause a community to reject that a risk exists. This must be done in the context of environmental health. Try to provide examples of real-life environmental health situations that could have been presented differently to improve acceptance and understanding from the community. The unemployment rate A. shows the percentage of the labor force that is considered unemployed. B. shows the percentage of the population that is considered unemployed. C. is the amount of the labor force that is not working. D. is the amount of people in the population that are not working. Suppose an economy is given by the following: Population=293 milion Labor force=116millionThe number of people employed = 106.7 millionThe number of people unemployed = 9.3 millionGiven the information above, the unemployment rate is _____&.(Enter yout response rounded to one decimal place) Generous Company leased a furniture and fixture under a one-year contract. The lessor grants Generous two months free rental. The lease is effective July 1, 2021 and provides for a monthly rental of P12,000. The first payment will begin on September 1, 2021. How much is the rent expense to be recognized by Generous in 2021? Find the least common multiple of x2 2x 15 and x2 + 2x 3.(x + 3)(x 1)(x + 5)(x 5)(x + 3)(x 1)(x 5)(x + 1)(x + 3)(x + 5)(x + 3)(x + 1) Capability Map, Value Stream and ArchiMate Modelling (EnterpriseArchitecture)To create an enterprise architecture describing a servicedelivery business and IT systems, based on a background of anA- Case study: The Department of Human Services. Task 1: Business architecture in developing a characterisation of what an organisation does, through business capability models, and high-level process Mali is a nation in west Africa. Mali's culture is well known for hospitality and music. Mali was previously the center of a powerful empire in it's past history. Which sentence best restates this information?A. Mali in West Africa is well known for its hospitality and being the center of a powerful historical empire. B. Once the center of a powerful empire, the West African nation of Mali is well known for its hospitality and music. C. Mali, a nation in west Africa, is well known for its hospitable culture, music, and the once-powerful empire of it's past. D. In west Africa, Mali is well known for its hospitality,music, and powerful former empire. Rewrite in logarithmic form(P(5)xp(7)^1/3+7=17(P(19)xP(6)^1/5-4=20Anwsers should be logp(10)=4Logp(24)=5SHOW WORKURGENT HElp please i really need help 100 points What would be a mutual fund mix that you would suggest for a teacher who is in his/her 20s? Explain your reasoning what does the speaker observe in "London's Simmer Morning"? You receive a promotion that increases your salary to $120,000 per year. You have decided to buy a house, so you go to a bank that gives you the following offer on a loan: 9% annual interest, no down payment required, closing costs of 5% of the amount borrowed, 30 year loan with monthly payments, and the amount of the monthly payment cannot exceed 25% of your monthly pre-tax pay. In addition to that maximim amount you can borrow from the bank, you have saved $50,000 that you will put toward the purchase of the house. What is the maximum price that you can afford to pay for the house (hint: you will borrow the maximum amount the bank will allow you to borrow, and add the money you have saved onto that; and you must also pay the closing costs)?a$76,899.93b.$310,704.66c.$345,169.43d.$360,704.66e.$373,739.90 Exercise 1 Underline the adjective clause, and circle the noun or pronoun it modifies.Anyone who wants to join the army must be disciplined.