PLZZZ HELP

Find the circumference of the circle.

PLZZZ HELPFind The Circumference Of The Circle.

Answers

Answer 1
14 m, 7 plus the other half is 14
Answer 2

Answer:

Step-by-step explanation:

circumference=2\(\pi\)r

=2 x 22/7 x 7m

=44m


Related Questions

Can you tell which 3-D shape this would make?

Can you tell which 3-D shape this would make?

Answers

Answer:

the answer is A

Step-by-step explanation:

you can see the image dont have stand. so it cannot be 3d. 3d need right left up down to fullfil the box

Dosen"t fold to make a 3D shape.

What is 3D shape?

3D shapes exist in forms with three dimensions, such as width, height, and depth. An example of a 3D shape exists as a prism or a sphere. 3D shapes exist as multidimensional and can be physically held.

A 2D shape includes two dimensions- length and breadth. A 3D shape contains three dimensions- length, breadth, and height.

The figure doesn't fold to make a 3-D shape as it doesn't have all the specified number of sides for any given shapes.

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that's the question ?? ​

that's the question ??

Answers

Step-by-step explanation:

Before we answer, the area of a Circle given it radius is

\(a = \pi r {}^{2} \)

The area of a circle given it diameter is

\(a = \pi( \frac{d}{2} ) {}^{2} \)

So let answers question 1-4.

1. The area is

\(1024\pi\)

2. The area is

\(576\pi\)

3.

\(1.225\pi\)

4.

\(309.76\pi\)

For the 5th problem, circumference is

\(\pi \times d\)

where d is the diameter and

\(2\pi r\)

where r is the radius.

A circumference of 100 m means the radius is 50 because

\(2\pi \times r = 100\pi\)

\(r = 50\)

So this means the area is

\(2500 {\pi}\)

-1 subtracted by 2.5 ​

Answers

Answer:

-3.5

Step-by-step explanation:

System a
2x+y=5 and -4x+6y=-2

system b
-10x +19y=-1 and -4x+6y=-2

Answers

Answer:

System A: x = 2, y = 1

Points: (2, 1)

System B: x= 2, y = 1

Points: (2, 1)

Step-by-step explanation:

the graph below is a translated reflection of the graph of the parent function. Write the quadratic function to model the graph.​

the graph below is a translated reflection of the graph of the parent function. Write the quadratic function

Answers

Answer:   \(y=-\dfrac{16}{9}(x+3)^2+4\)

Step-by-step explanation:

Use the vertex formula:  y = a(x - h)² + k    where

a is the vertical stretch-a is a reflection over the x-axis(h, k) is the vertex

We can see that the vertex of the curve is (-3, 4)  -->  h = -3, k = 4

and it is a reflection over the x-axis --> a-value is negative

We need to find the a-value. Choose another point on the curve and plug it into the vertex formula for (x, y) and then solve for a.

I will choose (x, y) = (-3/2, 0)

\(0=a\bigg(\dfrac{-3}{2}+3\bigg)^2+4\\\\\\-4=a\bigg(\dfrac{3}{2}\bigg)^2\\\\\\-4\bigg(\dfrac{2}{3}\bigg)^2=a\\\\\\-\dfrac{16}{9}=a\)

Now that we know the vertex and the a-value, we can input them into the vertex formula:

                         \(\large\boxed{y=-\dfrac{16}{9}(x+3)^2+4}\)

Answer:

Answer:  

Step-by-step explanation:

Use the vertex formula:  y = a(x - h)² + k    where

a is the vertical stretch

-a is a reflection over the x-axis

(h, k) is the vertex

We can see that the vertex of the curve is (-3, 4)  -->  h = -3, k = 4

and it is a reflection over the x-axis --> a-value is negative

We need to find the a-value. Choose another point on the curve and plug it into the vertex formula for (x, y) and then solve for a.

I will choose (x, y) = (-3/2, 0)

Now that we know the vertex and the a-value, we can input them into the vertex formula:

                       

you can continue to tranform 12=5x-3 into simpler form by adding 3 to both sides to get 15=5x when x =3 do youu get true statement

Answers

Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Who is the protagonist?

A. the magician
b. Aladdin
c. the princess
D. the tailor

Answers

alladin because it’s a name

Answer:

it is a) the magician

Step-by-step explanation:

comment if its wrong mark me brainlest if it is right

The population model given dP/dt â P or dP dt = kP (1)

fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.

Answers

Answer:

.

Step-by-step explanation:

Choose the function whose graph is given by:
A. y=-3.5cos x
B. y=3.5sin x
C. y=sin(3x)
D. y=2.5sin x

Choose the function whose graph is given by:A. y=-3.5cos xB. y=3.5sin xC. y=sin(3x)D. y=2.5sin x

Answers

Answer:

A a option is right because cause 3 is near to zero that's value one and y 3.5 x 1near equal to 3 something

on the July 7 billing date, Marvin had a balance due of $216.71 on his credit card. the transactions during the following month were

July 14 office supplies $52.04 July 17 scarf $15.66
July 21 payment of $100
July 24 charge: toy truck $44.03

the interest rate on the card is 1.25% per month. using the previous balance method find the finance charge on August 7 then find the new balance of August 7.

simple interest formula i=prt

Answers

Answer:

The first step is to calculate the average daily balance for the billing cycle. This is done by adding up the daily balances for each day of the billing cycle and then dividing by the number of days in the billing cycle. In this case, the billing cycle is from July 7 to August 6, so there are 31 days in the billing cycle.

The daily balances are as follows:

* July 7: $216.71

* July 14: $268.75

* July 17: $284.37

* July 21: $116.71

* July 24: $260.74

The average daily balance is therefore $226.81.

The next step is to calculate the finance charge. This is done by multiplying the average daily balance by the interest rate and then by the number of days in the billing cycle. In this case, the interest rate is 1.25% and the number of days in the billing cycle is 31 days.

The finance charge is therefore $7.43.

The final step is to calculate the new balance. This is done by adding the finance charge to the previous balance. In this case, the previous balance is $216.71 and the finance charge is $7.43. The new balance is therefore $224.14.

Here is the solution in mathematical form:

* Average daily balance = (216.71 + 268.75 + 284.37 + 116.71 + 260.74) / 31 = 226.81

* Finance charge = 226.81 * 0.0125 * 31 = 7.43

* New balance = 216.71 + 7.43 = 224.14

Step-by-step explanation:


The curve with equation y = x³ +3 has two tangents parallel to the line with equation
y = 12x-1. Find the co-ordinates of the two points.

The curve with equation y = x +3 has two tangents parallel to the line with equationy = 12x-1. Find the

Answers

Answer:

  (-2, -5), (2, 11)

Step-by-step explanation:

You want the coordinates of the points on the curve y = x³ +3 where the tangent lines are parallel to y = 12x -1.

Slope

The slope of the tangent line is the x-coefficient in its equation: 12.

The slope of the curve is given by its derivative:

  y' = 3x²

We want the x-values where the slope is 12. These are the solutions to ...

  12 = 3x²

  4 = x² . . . . . . . . . . divide by 3

  x = ±√4 = ±2 . . . . . take the square root

Coordinates

The coordinates of the points with x = ±2 are ...

  y = (±2)³ +3 = ±8 +3 = {-5, 11}

The tangent points are (-2, -5) and (5, 11).

__

Additional comment

The attached graphs and table show the solutions to y'=0 and the corresponding point locations. It also shows the tangent line equations (in point-slope form).

The curve with equation y = x +3 has two tangents parallel to the line with equationy = 12x-1. Find the

Gavin and Jim are marking exam papers. Each set takes Gavin 48 minutes and Jim 1 hour. Express the times Gavin and Jim take as a ratio. Give your answer in its simplest form.

Answers

Answer:

4:5

Step-by-step explanation:

1HR=60 MIN

48 MIN - 60MIN

48/60=4/5

4/5=4:5

please I need help with this​

please I need help with this

Answers

A. The following are sets A and B:

A = {2, 3, 5, 7, 11}

B = {1, 2, 3, 4, 6, 12}

C. Elements not in A or A' = ∅

B. The Venn diagram is attached

How to solve sets?

A universal set is a set which consists of all elements related to the given sets. It is denoted by U.

A. Set A:

A = {2, 3, 5, 7, 11}

Set B:

B = {1, 2, 3, 4, 6, 12}

U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}

A' = {1, 4, 6, 8, 9, 10, 12}

C. Elements not in A or A' = ∅

Complement of set A is refers to a set that contains the elements present in the universal set but not in set A.

Hence, the Venn diagram of sets A, B and U has been attached.

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please I need help with this

Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.

Which equation represents this situation?

Charles has 24 marbles. He has 6 more yellow marbles than blue marbles. Which equation represents this

Answers

Answer:

n+(n+6)=24

Step-by-step explanation:

we know that he has 24 in total so it has to equal 24

we also know that he has 6 more marbles meaning he has n number of yellow marbles plus 6 and that will give you the total of the blue marbles he also has n number of yellow marbles that he has to add to the number of blue marbles to get the total of 24

A croissant shop produces two products: bear claws (B) and almond-filled croissants (C). Each bear claw requires 6 ounces of flour, 1 ounce of yeast, and 2 TS of almond paste. An almond-filled croissant requires 3 ounces of flour, 1 ounce of yeast, and 4 TS of almond paste. The company has 6600 ounces of flour, 1400 ounces of yeast, and 4800 TS of almond paste available for today's production run. Bear claw profits are 20 cents each, and almond-filled croissant profits are 30 cents each. What is the optimal daily profit?

a. B = 400; C = 1000; Max Z = $380
b. B = 500; C = 900; Max Z = $350
c. B = 250; C = 1500; Max Z = 425
d. B = 300; C = 750; Min Z = $380

Answers

Answer:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Step-by-step explanation:

Production:

                                      Flour      yeast     Almond paste      Profit $

Bear claws B  (x₁)            6 ou       1 ou            2 TS                   0.2

Almond-filled ( x₂)          3 ou       1  ou           4 TS                   0.3

Availability                    6600      1400           4800

The Model:

z  =   0.2*x₁   +  0.3*x₂       to maximize

Subject to

1.-Quantity of flour   6600 ou

6*x₁  +  3*x₂   ≤  6600

2.-Quantity of yeast  1400 ou

1*x₁   +   1*x₂   ≤  1400

3.-Quantity of Almond paste   4800 TS

2*x₁   +  4*x₂   ≤  4800

General constraints:

x₁ ≤  0    x₂  ≤ 0   both integers

After 6 iterations using an on-line solver. Optimal solution is:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Please answer this correctly

Please answer this correctly

Answers

Answer:

hope this helps you

Please answer this correctly

Please A milligram is a small unit of measure for mass in the metric system. There are 1,000 milligrams in 1 gram. btw

Which amount is greater than 12 grams?


1,200 milligrams

1,300 milligrams

12,000 milligrams

13,000 milligrams

Answers

Answer:n the metric system, "milli" means 1/1,000 and "kilo" means 1,000. This means that a milligram is 1/1,000 of a gram, and a kilogram is 1,000 grams. So a kilogram is much heavier than a milligram; in fact, a kilogra

Step-by-step explanation:

which of the following question would use the calulation 7 x 1/8

A: a pizza is cut into 8 slices beth eats 7 of them. what fraction of the pizza is left

B: A pizza is cut into 7 slices beth eats 8 of them what fraction of the pizza is left?

C: A pizza is cut into 7 slices beth eats 8 of them. what fraction of the pizza did beth eat


D: a pizza is cut into 8 slices beth eats 7 of them. what fraction of the pizza did beth eat

Answers

Answer: The answer is D: a pizza is cut into 8 slices Beth eats 7 of them. what fraction of the pizza did Beth eat.

Step-by-step explanation:

If there are 8 slices and 7 of them have been eaten, that means 7/8 have been consumed.

sent help please urgent ​

Answers

calling 911 rn
they’re asking what help

Find the value of x, 6,4, 3x, 4x+1

Find the value of x, 6,4, 3x, 4x+1

Answers

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

A dairy farmer wants to mix 35% protein supplement in a standard 10% protein ration to make 1300 pounds of high grades 25% protein ration how many pounds of each should he use

Answers

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

PLEASE HELP AND SHOW THE WORK

PLEASE HELP AND SHOW THE WORK

Answers

An equation of the line that goes through the point (-1, -3) and (3, 5) is y = 2x - 1.

An equation of the line in slope-intercept form that is perpendicular to the equation for obstacle 1 is y = -x/2 + 3.

How to determine an equation of this line?

In Mathematics, the point-slope form of a straight line can be calculated by using the following mathematical expression:

y - y₁ = m(x - x₁) or \(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\)

Where:

m represent the slope.x and y represent the points.

At data point (-1, -3), a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

\(y - y_1 = \frac{(y_2- y_1)}{(x_2 - x_1)}(x - x_1)\\\\y - (-3) = \frac{(5- (-3))}{(3-(-1))}(x -(-1))\\\\y +3 = \frac{(5+3)}{(3+1)}(x +1)\)

y + 3 = 2(x + 1)

y = 2x + 2 - 3

y = 2x - 1

In Mathematics, a condition that must be met for two lines to be perpendicular is given by:

m₁ × m₂ = -1

2 × m₂ = -1

m₂ = -1/2.

At point (-4, 5), an equation of the line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x + 4)

y = -x/2 - 2 + 5

y = -x/2 + 3

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drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.​

drag tiles to the boxes to form correct pairs. match the cube roots and square roots with their values.

Answers

The square root of 9 is 3
the cubed root of 729 is 9
the square root of 100 is 10
the cubed root of 216 is 6
the square root of 64 is 8
and the cubed root of 343 is 7


This should be right

The hypotenuse of a right triangle is 5cm long the longer leg is 1cm longer than the shorter leg find the side lengths of the triangle

Answers

Answer:

Shorter leg=3

Longer leg=4

Step-by-step explanation:

Equations

In a right triangle, Pythagora's Theorem is satisfied. Being a the hypotenuse, b and c the legs of the triangle, then:

\(a^2=b^2+c^2\)

Let's call

x=the shorter leg of the triangle

The longer leg is 1 cm longer than the shorter leg, thus:

x+1=the longer leg.

Since the hypotenuse is 5 cm long:

\(5^2=x^2+(x+1)^2\)

Operating:

\(25=x^2+x^2+2x+1\)

Swapping sides and simplifying:

\(2x^2+2x+1=25\)

Subtracting 25:

\(2x^2+2x-24=0\)

Dividing by 2:

\(x^2+x-12=0\)

Factoring:

\((x-3)(x-4)=0\)

We have two possible solutions:

x=3, x=4

The longer leg is x+1.

If x=3, x+1=4

If x=4, x+1=5. This solution is not valid because one leg would be equal to the hypotenuse.

Thus, the solution is:

Shorter leg=3

Longer leg=4

write in standard form -4 + y +2x = 0

Answers

Answer:

the answer is 2x+y=4

Step-by-step explanation:

2x+y=4

Answer:

y = -2x + 4

Step-by-step explanation:

write in standard form -4 + y +2x = 0

The Empirical Rule states that for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean. The heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches. Use this information to answer the questions. (a) What is the probability that a randomly selected woman from this university is 69 inches or taller

Answers

Answer: 0.16

Step-by-step explanation:

Let X be a random variable that represents the heights of women at a large university are approximately bell-shaped, with a mean of 66 inches and standard deviation of 3 inches.

According to the Empirical Rule, for bell-shaped distributions, about 68% of the values fall within 1 standard deviation of the mean.

About 68% woman have height between ( 66-3) inches and (66+3) inches.

i.e. About 68% woman have height between 63 inches and 69 inches.

The percentage of woman have height either less than 69 inches or greater than 69 inches =100% - 68%= 32% [both share equal area on curve.]

The percentage of woman have height  is 69 inches or taller = 32%÷2

= 16%

Hence, the probability that a randomly selected woman from this university is 69 inches or taller =16%=0.16

Uma folha de papel foi dobrada como mostra o esquema abaixo. Determine o valor do ângulo alfa.

Uma folha de papel foi dobrada como mostra o esquema abaixo. Determine o valor do ngulo alfa.

Answers

Answer:

\(\alpha = 35º\)

Step-by-step explanation:

Primeiro, vamos dizer que essa folha tem extremidades nos pontos \(A, B, C, D\).

E vamos chamar os vértices do triângulo que contém o ângulo \(\alpha\) de \(E, F, G\).

Na semireta de baixo, formada por \(DC\), a gente tem um ângulo de \(70º\) e um outro ângulo de \(90º\) (porque ele indica um ângulo reto).

Vamos dizer que estes dois ângulos se encontram no ponto \(E\), que combinamos antes, como vértice (extremidade) do triângulo de cima.

Como os dois ângulos, estão num mesmo ponto, \(E\), podemos dizer que existe um terceiro ângulo para o qual sua soma seja \(180º\). E tem, seria o ângulo à esquerda de

Vamos chamar este ângulo de \(\beta _{I}\). Portanto:

\(\beta _{I} + 90º + 70º = 180º\\\beta _{I} = 180º - 160º\\\beta _{I} = 20º\)

Agora, temos um outro triângulo no canto inferior esquerdo da folha, cujos ângulos são \(\beta x_{I}\), \(90º\) e um outro ângulo, que vamos chamar de \(\beta x_{II}\)

Esse último vai ser o ângulo superior deste triângulo, tá legal?

Então, vamos ter que:

\(\beta _{I} + 90º + \beta _{II} = 180º\\\beta _{I} + \beta _{II} = 90º\\\)

Como \(\beta _{I} = 20º\),

\(\beta _{I} + \beta _{II} =20º + \beta _{II}\)

\(20º + \beta _{II} = 90º\\\beta _{II} = 90º - 20º\\\beta _{II} = 70º\)

Ou seja, o ângulo superior do triângulo no canto inferior esquerdo, é 70º.

Vamos concordar, que este mesmo triângulo tem vértices nos pontos \(F, D, E\). Onde \(F\) é o ponto superior, \(D\) é a extremidade inferior esquerda do retângulo e \(E\) é aquele mesmo ponto em que se encontram os ângulos de \(90º\)e \(70º\).

Mais à frente, você vai entender o porquê é importante nomear estes pontos, eu fiquei 40 minutos tentando fazer essa questão sem fazer isso e  não conseguia porque empacava numa parte da resolução.

Então, agora, sabemos que o ângulo \(\beta _{II}\), que é o encontro dos seguimentos \(FD\) e \(EF\) vale \(70º\).

Até aqui, foi só aplicar propriedades. Mas, a partir desse ponto, você vai precisar usar a criatividade.

Então, você entende que o ângulo \(\beta _{II}\) está inserido numa reta com outros dois ângulos concentrados no ponto \(F\).

Então, pode dizer que esse ângulo externo é o suplemento de \(\beta _{II}\).

Vamos chamar todo ele de \(\beta _{III}\)

\(\beta _{II} + \beta _{III} = 180º\\70º + \beta _{III} = 180º\\\beta _{III} = 180º - 70º\\\beta _{III} = 110º\)

Agora, vamos elevar o nível de criatividade no raciocínio e ver também que temos um quadrilátero formado pelos pontos \(A, G, F, E\)

A soma dos ângulos de qualquer quadrilátero é 360º.

E temos que esse mesmo quadrilátero é formado por dois ângulos retos, além do ângulo de 110º que calculamos.

A última extremidade que falta é um ângulo formado pela soma de \(\alpha\) a um outro ângulo, que vamos chamar de \(\beta _{IV}\).

Então, temos que:

\(90º + 110º + 90º + \alpha + \beta _{IV} = 360º\\\alpha + \beta _{IV} +290º = 360º\\\alpha + \beta _{IV} = 360º + 290º\\\alpha + \beta _{IV} = 70º\\\)

De todas, as etapas dessa resolução essa é a mais importante de entendermos os pontos que definimos. Eu refiz ela várias vezes porque não fiz isso antes.

Mas, veja, quando a gente dobra a folha, pegamos um formato qualquer e destacamos do resto dela.

Isso quer dizer que o formato que ficou dobrado é o mesmo que falta na folha. Do contrário, estaríamos criando folha ou excluindo matéria, o que não é possível no caso de uma simples dobra.

Em outras palavras, os triângulos \(AGF\) e \(EFG\) são os mesmos. (Eu recomendo que você construa esse desenho e coloque as letras em cada ponto, pra visualizar melhor.)

Isso é o mesmo que dizer que os ângulos de um vão ser os ângulos do outro.

Portanto, os ângulos são equivalentes. (Mesmos ângulos para ambos os triângulos, mudando só de posição.)

Assim, você pode afirmar que \(\alpha\) = \(\beta _{IV}\)

Se subirmos um pouco a resolução, vamos lembrar que encontramos que \(\alpha + \beta _{IV} = 70º\\\)

Se \(\alpha = \beta _{IV}\)

Temos:

\(\alpha + \alpha = 70º\\2\alpha = 70º\\\alpha = \frac{70º}{2} \\\)

e TCHARAAN!

\(\alpha = 35º\)

-------------------------

Força, guerreiro(a). Sucesso e que Deus te abençoe nos estudos.

AsAp need helllpppppppp

AsAp need helllpppppppp

Answers

The value of x is 31/64 or 0.484375 and the value of 61/64 is given by adding the value of 29/64 and 31/64 which is 0.9375.

How to convert a fraction to a decimal?

To convert a fraction to a decimal, you need to divide the top number by the bottom number. Here are the steps to follow:

1. Fraction should be written as numerator (top) divided by denominator (bottom).

2. Divide the numerator by the denominator using long division or a calculator.

3. Keep dividing until you get a decimal that terminates or repeats.

a) The given equation is

       \(\frac{61}{64} = \frac{29}{64} + x\)

       \(\frac{61}{64} - \frac{29}{64} = x\)

       \(x = \frac{31}{64}\)

b) Now 31/64 = 0.484375 and given that 29/64 = 0.453125

Hence from the equation 61/64 = 29/64 + 31/64 = 0.453125 + 0.484375

= 0.9375.

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I need help with my work

I need help with my work

Answers

(In c) * 1/c = 0.0604 is the change in the function.

According to the statement

y = (In x)^2 on interval [1,4]

By mean value theorem

we use this formula to find a change f '(c)= [f(b) - f(a)] / (b - a)

Let it f(y) = (In x)^2

Now, f(4) = (In 4)^2

f(4) = (0.602)^2

f(4) = 0.3624

and

f(1) = (In 1)^2

f(1) = (0)^2

f(1) = 0

Now, f'(c) = 2 (In c) * 1/c

Substitute all these values in a formula

2 (In c) * 1/c = 0.3624 - 0 / 4 - 1

2 (In c) * 1/c = 0.3624/3

2 (In c) * 1/c = 0.1208

(In c) * 1/c = 0.0604

So, (In c) * 1/c = 0.0604 is the change in the function.

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for questions 1-10 find the distance to the nearest hundredth.

for questions 1-10 find the distance to the nearest hundredth.

Answers

The formula to find the distance, d, between two points is

\(d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)

Taking (1,1) as the coordinates of the first point and (4,5) as the coordinates of the second point as shown below,

\(\begin{gathered} (x_1,y_1)\Rightarrow(1,1) \\ (x_2,y_2)\Rightarrow(4,5)_{} \end{gathered}\)

Substitute the coordinates into the formula for the distance between two points

\(\begin{gathered} d=\sqrt[]{(4-1)^2+(5-1)^2} \\ d=\sqrt[]{3^2+4^2} \\ d=\sqrt[]{9+16} \\ d=\sqrt[]{25} \\ d=5\text{ units} \end{gathered}\)

Hence, the distance between the two points is 5 units

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