NEED HELP NOW Convert 110 kilograms to pounds. (1 kilogram = 2.204 pounds)

Answer: B

Steps: $208.08

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The depth at which the light intensity has dropped to I = 7 is approximately 138.6 ft.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To find the intensity of light at a depth of 25 ft, we can substitute x = 25 into the given equation:

I = 14\(e^{(-0.005 * 25)\)

I ≈ 6.07 lumens (rounded to two decimal places)

Therefore, the intensity of light at a depth of 25 ft is approximately 6.07 lumens

(b) To find the depth at which the light intensity has dropped to I = 7, we need to solve the equation:

7 = 14\(e^{(-0.005x)\)

Dividing both sides by 14, we get:

0.5 = \(e^{(-0.005x)}\)

Taking the natural logarithm (ln) of both sides, we get:

ln(0.5) = -0.005x

Solving for x, we get:

x = -ln(0.5)/0.005

x ≈ 138.6 ft (rounded to one decimal place)

Therefore, The depth at which the light intensity has dropped to I = 7 is approximately 138.6 ft.

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The balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

What is the present value of an annuity?

Present value of an annuity is a financial concept that refers to the current value of a series of regular and equal payments or cash flows to be received or paid out in the future.

To find the balloon payment due at the end of 48 months, we can use the formula for the present value of an annuity:

PV = PMT x ((1 - (1 + r)^-n) / r)

where PV is the present value of the annuity (i.e. the balloon payment), PMT is the monthly payment, r is the interest rate per month (i.e. 6% / 12 = 0.005), and n is the number of periods (i.e. 48).

We can first find the total amount paid over 48 months:

Total payments = $199/month x 48 months = $9,552

We can then find the remaining balance on the car after 48 months:

Remaining balance = $24,000 - $9,552 = $14,448

Finally, we can use the present value formula to find the balloon payment:

PV = $199 x ((1 - (1 + 0.005)^-48) / 0.005) + $14,448

PV ≈ $19,726.27

Hence, the balloon payment due at the end of 48 months is approximately $19,726.27.

Answer choice (A) is the closest option.

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Answer: I got u ma

Step-by-step explanation:

Regression equation correctly models the data is: y = -43.98x + 1,279.93

To determine the regression equation that correctly models the data, we can use the method of linear regression. The regression equation for a straight line is generally expressed as y = mx + b, where m is the slope and b is the y-intercept.

Using the given table, we can calculate the necessary values to determine the regression equation. Let's denote the sigma notation as Σ.

The slope (m) can be calculated using the formula:

\(m = (Σxy - (Σx)(Σy) / n(Σx^2) - (Σx)^2)\)

Plugging in the values from the table:

m =\((776,600 - (299)(12,400) / 6(18,109) - (299)^2)\)

m = (776,600 - 3,708,800 / 6(18,109) - 89,401)

m = (-2,932,200 / 66,654)

m ≈ -43.98

The y-intercept (b) can be calculated using the formula:

b = (Σy - m(Σx)) / n

Plugging in the values from the table:

b = (12,400 - (-43.98)(299)) / 6

b ≈ 1,279.93

The correct regression equation that models the data is:

y = -43.98x + 1,279.93

Out of the given options, the correct regression equation is:

y = -43.98x + 1,279.93

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The domain restrictions for (f/g)(x) are (c) x = 0, 6

From the question, we have the following parameters that can be used in our computation:

f(x) = x² - 5x - 6

g(x) = x² - 6x

The composite function (f/g)(x) is calculated as

(f/g)(x) = f(x)/g(x)

substitute the known values in the above equation, so, we have the following representation

(f/g)(x) = (x² - 5x - 6 )/(x² - 6x)

For the domain restriction, we have

x² - 6x = 0

When solved, we have

x =  6 or x = 0

Hence, the domain restrictions for (f/g)(x) are (c) x = 0, 6

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Question

Given f(x) = x² - 5x - 6 and g(x) = x² - 6x, what are the domain restrictions

for (f/g)(x)?

A) x = +6

B) x = 0

C) x = 0,6

D) x = -2,6

The measure of angle 3 is 52⁰.

The measure of angle 5 is 38⁰.

The measure of angle 6 is 52⁰.

The measure of angle 3, 5 and 6 is calculated as follows;

angle 1 + angle 2 + angle 3 = 180 (sum of angles in straight line )

90 + 38 + angle 3 = 180

angle 3 = 180 - 128

angle 3 = 52⁰

The measure of angle 5 is calculated as follows;

angle 5 = angle 2 (vertical opposite angles are equal)

angle 5 = 38⁰

The measure of angle 6 is calculated as follows;

angle 6 = angle 3 (vertical opposite angles are equal)

angle 6 = 52⁰

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Answer:

a. 1,323,002

Step-by-step explanation:

The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.

First, the rate of change

= (483 - 210) / (23 - 10)

= 273 / 13

= 21

So, the equation for the relationship between the number of bracelets made and the number of beads used.

(y - 210) = 21 (x-  10)

y - 210 = 21x - 210

y = 21x

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Answer: If triangle ABC is an isosceles triangle, angle B is the vertex angle, AB=6x+3 BC=8x-1 and AC=10x-10 find x and the measures of each side of the triangle

ABC is an isosceles triangle, angle B is the vertex angle..hence BA=BC..or..AB=BC...hence...

6x+3=8x-1

8x-6x=3+1=4

2x=4

x=4/2=2

so the 3 sides are

AB=6x+3=6*2+3=12+3=15

BC=8x-1=8*2-1=16-1=15

AC=10x-10=10*2-10=20-10=10

(sorry if i got ur answer wrong)

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The value of the perimeter of the given isosceles triangle with a vertex at B will be 40 units.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

As per the given isosceles triangle with vertices, ABC is drawn below.

Since B is the vertex thus BA = BC

6x + 3 = 8x - 1

2x = 4

x = 2

So, AB = 6(2) + 3 = 15

BC = 8(2) - 1 = 15

AC = 10(2) - 10 = 10

Perimeter = 15 + 15 + 10 = 40 units.

Hence "The value of the perimeter of the given isosceles triangle with a vertex at B will be 40 units".

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Answer: 9

Step-by-step explanation:

4x²-7x+7   f(2)=4*(2)^2-7(2)+7=16-14+7=9

Answer:

13.25

Step-by-step explanation:

1. you have to subract the cost of the drink:

94.25-1.50=92.75

2.you have to divide to get the individual cost of pizzas by doing

92.75÷7=13.25

so therefore your answer is 13.25 per pizza

The equivalent expression to (2x² + 3) (x + 4) will be;

⇒ 2x³ + 8x² + 3x + 12

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is;

⇒ (2x² + 3) (x + 4)

Now,

Solve the expression as;

⇒ (2x² + 3) (x + 4)

⇒ 2x² × x + 2x² × 4 + 3x + 3 × 4

⇒ 2x³ + 8x² + 3x + 12

Thus, The equivalent expression to (2x² + 3) (x + 4) will be;

⇒ 2x³ + 8x² + 3x + 12

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Answer:

Step-by-step explanation:

i) 18 - 2b = 5a

18 - 2b - 5a = 0

-2b -5a = -18

2b + 5a = 18

5a + 2b = 18

ii) 3a = 5b + 17

3a - 5b = 17

At this time x = 3, y = -5, c= 17

ax + by = c is equivelant to 3a -5b = 17

So another equation is:

3a - 5b = 17

Answer from Gauthmath

Step-by-step explanation:

18-2b=5a

we want to make 5a the subject so first we 5a to the left so our new equation is 5a+18-2b=0

then we move the 2b infront of the +18 so then our new equation is 5a+2b+18=0 then. we move the +18 to the other side to give 5a+2b=18

The area of the queen sized blanket is 9 times bigger than the area baby blanket.

What is the area of a rectangle?

The area of a rectangle is the multiplication of it's length and breadth.

Here, the area of the baby blanket = 2 × 3 square feet = 6 square feet.

The area of the queen sized blanket = 6 × 9 square feet = 54 square feet.

Therefore, the ratio of the baby blanket : queen sized blanket

= 6 : 54

= 1 : 9

Hence, area of the queen sized blanket is 9 times bigger than the area baby blanket.

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Answer:

The half-life of a radioactive substance is the time it takes for half of the initial amount of the substance to decay. We can use the fact that 8% of the original amount remains after 100 days to determine the half-life of the isotope.

Let's assume that the initial amount of the substance is 1 unit (it could be any amount, but we're assuming 1 unit for simplicity). After one half-life, half of the original amount remains, or 0.5 units. After two half-lives, half of the remaining amount remains, or 0.25 units. After three half-lives, half of the remaining amount remains, or 0.125 units. We can see that the amount of substance remaining after each half-life is half of the previous amount.

We can use this information to set up the following equation:

0.08 = (1/2)^n

where n is the number of half-lives that have elapsed. We want to solve for n.

Taking the logarithm of both sides, we get:

log(0.08) = n*log(1/2)

Solving for n, we get:

n = log(0.08) / log(1/2) = 3.42

So the number of half-lives that have elapsed is approximately 3.42. Since we know that 100 days is the time for three half-lives (from the previous calculation), we can find the half-life by dividing 100 days by 3.42:

Half-life = 100 days / 3.42 = 29.2 days (rounded to one decimal place)

Therefore, the half-life of the radioactive isotope that leaked into the stream is approximately 29.2 days.

The per capita emissions for each country is:

Using this formula to find the  Per capita emissions for each country

Per capita emissions = C02 Emission (tons of carbon dioxide ) /  Total emissions by population

China

Per capita emissions =8,782,000,000/1,359,750,000

Per capita emissions = 6.46

United States

Per capita emissions =5,144,000,000/316,597,000

Per capita emissions= 16.25

India

Per capita emissions = 2,185,000,000 /1,233,460,000

Per capita emissions = 1.77

Russia

Per capita emissions=1,646,000,000/143,400,000

Per capita emissions = 11.48

Japan

Per capita emissions = 1,232,000,000/127,310,000

Per capita emissions = 9.68

Germany

Per capita emissions = 733,000,000/80,523,700

Per capita emissions = 9.10

Iran

Per capita emissions = 583,000,000/76,876,000

Per capita emissions = 7.58

South Korea

Per capita emissions = 576,000,000/50,219,669

Per capita emissions = 11.47

Indonesia

Per capita emissions = 535,000,000/237,641,326

Per capita emissions = 2.25

Canada

Per capita emissions = 528,000,000/35,141,542

Per capita emissions =15.02

Therefore China per capita emissions is 6.46.

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Answer:

48°

Step-by-step explanation:

Given that GK is the diameter of the circle ;

Then GK which is the half of the circle is 360/2 = 180 (Angle at a Point = 360°)

Diameter =half of the entire circle = 360 /2 = 180

GK = 180°

GK =GR + KR = 180

KR = 132°

180 = GR + 132

GR = 180 - 132

GR = 48°

Answer:

the slope intercept form is   y = (1/2)x - 1

Step-by-step explanation:

The slope-intercept form is, y = mx + b

We see from looking at the graph that,

at x = 0, y = -1

So, from this we find that b = -1

at x = 2, y = 0,

now, we find the slope m,

using,

\(m = \frac{y_{2} -y_1}{x_2-x_1}\)

Using x_2 = 2, y_2 = 0,

x_1 = 0, y_1 = -1, we get,

m = (0-(-1))/(2-0)

m = 1/2

So, the slope intercept form is,

y = (1/2)x - 1

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

31

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Answer:  100f + 150e = 1250

Step-by-step explanation:

Subtract the 1st from the 2nd to solve for e:

50e = 250

e = 5 boxes (# of boxes of eight-once cups)

f + e = 10, so f = 5 boxes: (# of boxes of five-once cups)

6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

Let x represent the number of box of 5-ounce cups and y represent the number of box of 8 ounce cups.

The room can only hold 10 more boxes, hence:

x + y ≤ 10   (1)

A maximum of $1200 is budgeted for yogurt cups. Hence:

100x + 150y ≤ 1200     (2)

Plotting the graph of the inequality, the solution is at (6, 4)

Therefore 6 boxes of 5-ounce cups and 4 boxes of 8-ounce cups could be bought.

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Answer:

Step-by-step explanation:

f(x) + n - vertical translation n units up

f(x) - n - vertical translation n units down

f(x + n) - hrizontal translation n units to the left

f(x - n) - hrizontal translation n units to the right

-f(x) - reflection across x-axis

f(-x) - reflection across y-axis

We have f(x) = 2x and g(x) = 2x  - 3 = f(x) - 3.

Thefore it's vertical translation 3 units down.

Answer:

$0.24 per ounce of topsoil.

Step-by-step explanation:

1 pound = 16 ounces

5 pounds = 80 ounces

$19.20 ÷ 80 = $0.24

Answer:

x=90º

y=64º

Step-by-step explanation:

180-67=113

180-75=105

540-90-113-105=232

232/2=116

180-116=64º

180-90=90º

Answer:

38 people

Step-by-step explanation:

In this case, we can see that, being two people, the cost is 14 and when it is double, that is, 4 people, the value is not 28 but 20.

Which means that there is an additional value that is being charged for the vehicle, that is:

let "c" be the value of the vehicle and "x" be the value per person

c + 2 * x = 14

c + 4 * x = 20 => c = 20 - 4 * x

replacing:

20 - 4 * x + 2 * x = 14

-2 * x = 14-20

-2 * x = -6

x = 6/2

x = 3

for C:

c = 20 - 4 * 3

c = 8

Which means that the formula for the value of the input would then be:

e = 8 + 3 * n

where "n" is the number of people.

Now, we are told that for e = 122

122 = 8 * + 3 * n

3 * n = 122 -8

n = 114/3

n = 38

which means that for that bus there are a total of 38 people