The total cost, c, in dollars, of b bottles of water is c = 1.1b. What is the canstant of proportionality?​

Answer:

The answer is C. 55°

Step-by-step explanation

Since angle DEF is equal to 125°, you would do 180 - 125, and that gives you 55°.

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Answer:

so i got x=-3 i didnt get any signs in between

Step-by-step explanation:

This equation is not true, which means the claim that the population will double in three years is incorrect based on the given growth rate of 16.5% per year.

The actual population growth rate is less than what is required for the population to double in three years.

To determine whether the claim that the population will double in three years is correct, we can calculate the expected population growth over the given time period based on the growth rate.

The population is growing at a rate of 16.5% per year. To calculate the expected population growth over three years, we need to compound this growth rate.

The formula to calculate compound growth is:

Final Amount = Initial Amount * (1 + Growth Rate)^Number of Periods

Let's assume the current population of the city is P.

After one year, the population will be P + 16.5% of P = P + 0.165P = 1.165P.

After two years, the population will be 1.165P + 16.5% of 1.165P = 1.165P + 0.191225P = 1.356225P.

After three years, the population will be 1.356225P + 16.5% of 1.356225P = 1.356225P + 0.2239607125P = 1.5801857125P.

Therefore, the expected population after three years is 1.5801857125 times the initial population (P).

For the population to double, the final population should be twice the initial population:

2P = 1.5801857125P

Dividing both sides by P:

2 = 1.5801857125

This equation is not true, which means the claim that the population will double in three years is incorrect based on the given growth rate of 16.5% per year.

The actual population growth rate is less than what is required for the population to double in three years.

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Answer:

Yes

Step-by-step explanation:

Answer:

Angle 5

Step-by-step explanation:

The height of the trapezoid is 98 units

The space enclosed by the boundary of a plane figure is called its area.

A trapeziod is a closed shape or a polygon, that has four sides, four corners/vertices and four angles

The area of a trapezoid is expressed as;

A = 1/2( a+b)h

where a and b are the bases length of the trapezoid.

245= 1/2 ( 14+21)h

490 = 35h

divide both sides by 35

h = 490/35

h = 98 units

Therefore the height of the trapezoid is 98 units

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The solution to the differential equation y(t) = Ce^(-2t) + 15 that satisfies the initial condition y(0) = 9 is: y(t) = -6e^(-2t) + 15.

To find the solution that satisfies the initial condition y(0) = 9, we substitute t = 0 into the general solution of the differential equation y(t) = Ce^(-2t) + 15:

y(0) = Ce^(-2(0)) + 15

9 = Ce^0 + 15

9 = C + 15

Now, we can solve this equation for C:

C = 9 - 15

C = -6

Therefore, the value of the constant C is -6.

Now that we have determined the value of C, we can substitute it back into the general solution to obtain the particular solution that satisfies the initial condition:

y(t) = Ce^(-2t) + 15

y(t) = -6e^(-2t) + 15

This equation represents the unique solution to the differential equation that meets the given initial condition. The term -6e^(-2t) represents the complementary solution, which accounts for the general behavior of the differential equation, while the constant term 15 represents the particular solution that satisfies the initial condition.

It's important to note that the exponential term e^(-2t) decays as t increases, so the value of y(t) approaches the constant term 15 as time goes to infinity. The negative coefficient -6 reflects the decreasing nature of the exponential term, causing y(t) to approach the steady-state value of 15 from above.

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Answer:

Step-by-step explanation:

2(√x+2/2 - 1)² + 4 (√x+2/2 - 1)

2((√x+2/2)² + 1² - 2(√x+2/2)(1)) + 4√x+2/2 - 4

2(x+2/2 + 1 - 2(√x+2/2)) + 4√x+2/2 - 4

x + 2 + 2 - 4√x+2/2 + 4√x+2/2 - 4

x + 4 - 4

x

Answer:

the answer is x

Step-by-step explanation:

Answer:

6 + 3 Divided by x minus 8.

Step-by-step explanation:

Answer:

y=-2x+1

Step-by-step explanation:

Look at the photo i think

The domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.

What is the domain and range of the function?

The domain of a function is the set of all possible input values (x-values) for which the function is defined. It is the set of all values for which the function produces a valid output (y-value). In other words, it is the set of all x-values that can be plugged into the function without causing an error.

The range of a function is the set of all possible output values (y-values) that the function can produce, given any input value from the domain. It is the set of all possible y-values that can be obtained by plugging different x-values from the domain into the function.

The domain and range of a function is the set of all possible input and output values of the function.

In this case, the function is represented by a set of ordered pairs (-2 , -2) (2 , -2) (-4 , 0) (4 , 0).

The domain of the function is the set of all possible x-values which are: -2, 2, -4, 4.

The range of the function is the set of all possible y-values which are: -2, 0.

Hence, the domain of this function is {-2, 2, -4, 4} and the range of this function is {-2, 0}.

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Answer:

48

Step-by-step explanation:

21 white tiles = 63 cm2

total number is 144

144-63 = 81

81/3 = 27

so 27 black tiles

21+27 = 48 total.

The answer is 27 tiles !

21 white tiles × 3  = the total area it takes up!

21 × 3 = 63

144 - 63 = 81

81 is the area left!

Divide by 3 to find how many black tiles are needed!

81÷ 3 = 27

Hope I Helped !

Answer:

cot B = 48/55

Step-by-step explanation:

cot B = 48/55

Answer: 24 apples

Step-by-step explanation: $20.00 = 8 pounds and 16 ounces = 1 pound So you can do $120.00 divided by 5 = 24 apples

The given events are not mutually exclusive events. Hence, the correct answer is "not mutually exclusive."

In order to determine whether the given events are mutually exclusive or not, it is essential to understand what mutually exclusive events are.

So, the term mutually exclusive events refer to those events that cannot occur together or simultaneously. In other words, if one event occurs, the other event will not occur at the same time.

Now, let's consider the given events:

Select a book:

Get a hardback book and Get a romance book

Here, we can select a hardback book or we can select a romance book. We can select both the books simultaneously as well. Therefore, the given events are not mutually exclusive events. Hence, the correct answer is "not mutually exclusive."

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Answer:

positive 4 - negative 3 equals positive 1

Answer:

Step-by-step explanation:

radius of base=8/2=4 ft

l²=4²+9²=16+81=97

l=√97 ft

The answer is:

\(\large\textbf{They aren't equivalent.}}\)

In-depth explanation:

To determine the answer to this problem, we will use one of the exponent properties:

\(\sf{x^{-m}=\dfrac{1}{x^m}}\)

And

\(\sf{\dfrac{1}{x^{-m}}=x^m}\)

Now we apply this to the problem.

What is 4⁻³ equal to? Well according to the property, it's equal to:

\(\sf{4^{-3}=\dfrac{1}{4^3}}\)

And this question asks us if 4⁻³ is the same as 1/4⁻3.

Well according to the calculations performed above, they're not equivalent.

Did you ever get the answer

Answer:

Im the king of answers

Step-by-step explanation:

The answer is A, C, and E

The result of inverse trigonometric function are: cos, tan^-1, sin, tan^-1(5), sin^-1, tan^-1(-1), sin^-1(1), cos, sin, cos^-1(0), tan(13), sin^-1(1), cos, cos^-1.

Inverse trigonometric functions are used to determine the angle measures of a right triangle given the length of two sides. In this problem, we are matching the inverse tangent solutions to the corresponding trigonometric problems. The inverse tangent function, tan^-1(x), gives the angle whose tangent is x.

Therefore, matching tan^-1(1/6) with problem number 2 means finding the angle whose tangent is 1/6. Similarly, matching cos^-1(0.5) with problem number 10 means finding the angle whose cosine is 0.5. The other inverse trigonometric functions, such as sin^-1(x) and cos^-1(x), give the angles whose sine and cosine are x, respectively.

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Answer:

I think it's c sorry if im wrong

Answer:

16.50+91.25=91.25

91.25×40=3650

11.75-37.00=-25.25

Total cost, T of the catering service, which serves n people = T = 16.50n + 74.75 and T = 11.75n + 37.00

Given,

Charges per person = 16.50

Service charges = 74.75

Let n be the number of the people,

Let T be the total cost

Now, according to the given question,

T = 16.50n + 74.75

If n>=40

T = 11.75n + 37.00

So, we have 2 equations which define the total cost -

T = 16.50n + 74.75,

T = 11.75n + 37.00

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Answer:

Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

Step-by-step explanation:

Let M = Mom's age, D = Dad's age, F = Fritz's age, A = Adele's age and E = Erika's age.

Given that

1) Mom is 8 years younger than Dad, we have D = M + 8   (1)

2) Dad is 2 times as old as Fritz. D = 2F   (2)

3) Adele is 4 years old. A = 4     (3)

4) Fritz's age plus Adele's age equals Erika's age. F + A = E   (4)

5) Mom was 24 when Erika was born. M = E + 24    (5)

6) In 9 years, Mom will be twice as old as Erika will be. M + 9 = 2(E + 9)   (6)

Substituting (5) into (6), we have

E + 24 + 9 = 2(E + 9)

E + 33 = 2E + 18

subtracting E from both sides, we have

2E - E + 18 = 33 + E - E

E + 18 = 33

subtracting 18 from both sides, we have

E + 18 - 18 = 33 - 18

E = 15

M = 15 + 24 = 15 + 24 = 39

From (4) F = E - A = 15 - 4 = 11

From (1) D = M + 8 = 39 + 8 = 47

So, their ages are Dad = 47, Mom = 39, Fritz = 11, Erika = 15 and Adele = 4

The required equation of the circle with center (3, 5) and radius 8 is

(x - 3)² + (y - 5)² = 64.

Therefore option C is correct.

The circle is described as the locus of a point whose distance from a fixed point is constant with center (h, k).

The equation of the circle is shown as :

(x - h)² + (y - k)² = r²

where h, k = coordinate of the center of the circle on the coordinate plane

r =  radius of the circle.

With reference from the graph

the center of the circle is (3, 5) and radius of the circle is 8

we then can write  the equation of the circle as,

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 5)² = 8²

(x - 3)² + (y - 5)² = 64

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The complete question is attached as an image.

Based on the average score in the lab report and the scoring range, an equation that would represent the minimum and maximum scores is |x − 78| = 2.2.

Assuming a student gets the maximum score, then it means that they are 2.2 points above the average.

If the average was subtracted from their score therefore, the result would be 2.2:

x - 78 = 2.2

This is the same if their score was the minimum. When the average is subtracted from their score, the result would be -2.2.

The best way to show this is therefore:

|x − 78| = 2.2

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Answer:

|x − 78| = 2.2

Step-by-step explanation:

Answer:

25 flowers 14 bushes

Step-by-step explanation:

13f/23b = 308

16f/21b = 306

8f/260 = 308

25 · 6 = 150

14 · 10 = 140

140+150 = $290

Sarah can buy 25 flowers and 14 bushes considering her budget.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Let x be the number of flowers and y be the number of bushes.

Total expense = $300

Cost for each flower = $6

Cost for each bush = $10

We get an equation,

6x + 10y = 300

(a) 13 flowers and 23 bushes

Total cost = (6 × 13) + (10 × 23) = $308

(b) 16 flowers and 21 bushes

Total cost = (6 × 16) + (10 × 21) = $306

(c) 8 flowers 26 bushes

Total cost = (6 × 8) + (10 × 26) = $308

(d) 25 flowers 14 bushes

Total cost = (6 × 25) + (10 × 14) = $290

Hence the possible combination is 25 flowers and 14 bushes.

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Answer:

3

Step-by-step explanation:

3(1)-2= 1

2(1)+1 = 3