claire and martin are trying to determine the length of a slug. Claire has a mesuring stick whose markings are 1 cm apart, and Martin has a measuring stick whose markings are 0.1cm apart.

The mass that would remain after 50 years is 48. 79 kilograms

It is important to note that half - life is the time it takes for amount of a substance to reduce to half of its initial value.

Given the equation

m(t)=120e−0.018t

Where

m(t) is the amount = unknown

t = time = 50 years

[tex]m(t) = 120e^0^.^0^1^8^t[/tex]

Substitute the value into the equation

[tex]m(t) = 120e^0^.^0^1^8^(^5^0^)[/tex]

[tex]m(t) = 120e^-^0^.^9[/tex]

Find the exponential value

[tex]m(t) = 48.788399[/tex]
m(t) = 48. 79 kilograms in 2 decimal places

Thus, the mass that would remain after 50 years is 48. 79 kilograms

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Based on the Venn diagram with results from the travel agency and the popular cities to visit, the following are true:

The Venn diagram shows that the number of people who chose Orlando alone are 5 people namely: John, Michael, Angel, Andrew, and Sally.

Only one customer in the person of Jordan preferred New York and Los Angeles.

2 people liked Orlando and New York only and they were Luke and Robert.

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Using it's concept, the probability that you flip heads and roll a number greater than 5 is: [tex]\frac{1}{12}[/tex].

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

Hence the probability of both events is:

[tex]p = \frac{1}{2} \times \frac{1}{6} = \frac{1}{12}[/tex].

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Answer:

-6 is the answer for instance 6=-6 or +(-6)

The equation of the quartic function is f(x) = x⁴ - 18 · x² + 6 · x + 72.

Herein we must construct at least a polynomial that satisfies all conditions described in the statement. According to the fundamental theorem of algebra, quartic functions may have no real roots, two real roots or four real roots, which means that one of the roots must have a multiplicity of 2.

The root with a multiplicity of 2 is x = 3 and both x = - 4 and x = - 2 have only a multiplicity of 1, then we have the following expression by using the factor form of the definition of polynomials:

f(x) = (x - 3)² · (x + 4) · (x + 2)

Now we expand the expression to get the standard form:

f(x) = (x² - 6 · x + 9) · (x² + 6 · x + 8)

f(x) = x⁴ - 6 · x³ + 9 · x² + 6 · x³ - 36 · x² + 54 · x + 8 · x² - 48 · x + 72

f(x) = x⁴ - 18 · x² + 6 · x + 72

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The measure of x in the right angled triangle shown is 4.09

An equation is an expression that shows the relationship between two or more variables and numbers.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

From the diagram shown:

sin(17) = x / 14

x = 4.09

The measure of x in the right angled triangle shown is 4.09

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Trabajando 10 horas por día, en 6 días se producen 3000 ruedas.

Sabemos que trabajando 8 horas, en 5 dias producen 2000 ruedas.

El número total de horas que trabajan en esos 5 dias es:

(8 horas)*5 = 40 horas

Entonces se producen 2000 ruedas en 40 horas, es decir, la razon de trabajo es:

(2000 ruedas)/(40 horas) = 50 ruedas por hora.

Ahora, sí en la fabrica trabajan 10 horas al día, entonces van a producir:

10h*(50 ruedas por hora) = 500 ruedas por día.

El número x de días que deben trabajar para producir 3000 ruedas es:

x*(500 ruedas por dia) = 3000 ruedas

x = (3000 ruedas)/(500 ruedas por dia) = 6 dias.

Trabajando 10 horas por día, en 6 días se producen 3000 ruedas.

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[tex]\text{\textbf{Hello!} In this question, we are trying to find the equation of a line}\\\text{that is \underline{perpendicular} to our given equation}[/tex]
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[tex]\textbf{Explanation:}\\\\\text{To help us answer our question, we need to note some of our given info:}\\\\\text{Equation: y = 5x + 1}\\\\\text{Point passed through: (5, -2)}\\\\\text{We can use the above information to help us find our perpendicular equation.}\\\\\text{We will be using the slope-intercept form equation to help get us our answer:}\\\\\text{y = mx + b}[/tex]

[tex]\text{When a line is perpendicular to an equation, it means that its slope is }\\\text{\textbf{opposite} which results in the lines to meet at a \underline{90-degree} angle.}[/tex]
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[tex]\textbf{Solve:}\\\\\text{To get our perpendicular slope, we will use the formula:}\\\\\text{m1 = }-\frac{1}{m2}\\\\\text{m1 will be our given slope (5) and m2 will be our already provided slope. }\\\\\text{This is also known as a \underline{negative reciprocal}. }\\\\\text{Therefore: m1 = }-\frac{1}{5}\\\\\text{Since we now know our slope, we can plug it into our "m" variable in the}\\\text{slope intercept equation:}\\\\\text{y = }-\frac{1}{5}x+b\\[/tex]

[tex]\text{To find where the point is on the y-intercept, we will plug in our point}\\\text{(5, -2) to it's corresponding spots in our new equation above.}\\\\\text{Plug "5" to x and "-2" to y and solve:}\\\\\text{-2 = }-\frac{1}{5}(5)+b\\\\\text{-2 = }-1+b\\\\\text{Add 1 to both sides.}\\\\\text{-1 = }b\\\\\text{Therefore, our y-intercept is -1.}[/tex]
[tex]\text{When we plug -1 into our new equation, we get:}\\\\\text{y = }-\frac{1}{5}x-1\\\\\text{Therefore, our perpendicular equation is: }\boxed{y = -\frac{1}{5}x-1}[/tex]
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[tex]\textbf{Answer:}\\\\\boxed{y = -\frac{1}{5}x-1}[/tex]
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[tex]\textbf{Additional Info:}\\\\\text{You can learn more about \textbf{slope-intercept form} below:}[/tex]
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The monthly payments for this add on interest loan are of $164.71.

Given Information and Formula Used

It is given that for an add on interest loan,

Principal Amount, p = $8,276.17

Annual Interest Rate, r = 5.7%

Term of the loan, T = 5.5 years

The formula for simple interest is given as follows,

I = (p)(r)(t)/100 ............... (1)

The formula for total amount of add on interest is given by,

A = p + I ....................... (2)

Computing the Interest

Substitute the given values of p, r, and t in the formula (1) of interest to get,

I = (8276.17)(5.7)(5.5)/100

I = 259457.9295/100

I = $2,594.58

Computing the Monthly Payment for Add-on Interest Loan

Substituting the values of p and I in the formula (2), we obtain the total amount as,

A = $ (8276.17 + 2594.58)

A = $ 10,870.75

Monthly payment for the add on interest loan = A/t(in months)

=  $ (10,870.75/66)

= $164.71

Therefore, monthly payments of $164.71 are to be made for the add on interest loan.

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Answer:

Step-by-step explanation:

hello :

g(x) = (x+5)²

Answer:

It is proportional.  When You graph it, it will go through the origin.  The slope is 5.  The y intercept is 0.

Step-by-step explanation:

When a linear function is proportional, the slope will be in the form of y/x.

So, say we put 2 in for x, then y would be 10.  2 is the x and 10 is the y.  What is 10/2? 5 (the slope)

If we put in 6 for x, then y would be 30.  5 is the x and 30 would be the y.  What is 30/5? 5 (the slope)

if we put in -3 for x, then y would be -15.  -3 is the x and -15 would be the y.  What is -15/-3? 5 (the slope).

We could not find the slope this way, if the line was not proportional.

For example, if the y intercept is not zero, like

y = 5x + 2.  If I put 3 in for the x, then the y would be 17.  Is 17/3 equal to 5?  No, because the line is not proportional.

Answer

1 possible solution:

(5x7) in the first blank

(-3!) in the second blank

(-1) in the third blank

Step-by-step explanation:

(5x7) + -(3!) + -(1)          3! equals 3x2x1 or 6

35 + (-6) + (-1)

Answer:

answer: no spam please

oly questions

A graph which includes the possible values for number of people who can still sign up for the team is: B. number line with closed circle on 5 and shading to the right.

A number line can be defined as a type of graph with a graduated straight line which contains numerical values (positive and negative numbers) that are placed at equal intervals along its length.

Let the number of people who can still sign up for the team be represented by x. Thus, the inequality is given by:

x + 4 ≥ 9

x ≥ 9 - 4

x ≥ 5.

This ultimately implies that, there could be five (5) or more people that can still sign up for the team and a graph which includes these possible values is a number line with closed circle on five (5) and shading to the right because it can get larger.

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Answer:

Step-by-step explanation:

his function will be an exponential function, because the number of rabbits double each year

the basic form for exponential functions is

where s is the starting number, c i s the constant (rate of change like double, triple, etc.) and x is the number repeats (in this case, years)

so in this case, the starting number (year 0) is 8, and the rate of change is 2

therefore, the equation is:

f(X) =8 times 2

hope this helps!

p.s. can i have brainliest?

Answer:4

Step-by-step explanation: 9y-8y+2, when y=2

9(2)-8(2)+2=

18-16+2

=4

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.  

Let x = number of gallons of 3% milk

Thus;

336 - x = number of gallons of 7% milk

Therefore;

0.03x + 0.07(336 - x) = 0.06(336)

0.03x + 23.52 - 0.07x = 20.16

-0.04x = -3.36

x = 84 gallons

We need 84 gallons of 3% butterfat milk and (84 * 3) = 252 gallons of 7% butterfat milk to obtain 336 gallons of 6% butterfat milk.  

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The average rate of change for this function for the interval from x = 1 to x = 3 is 3

The average rate of change is calculated as:

m = (f(b)- f(a))/(b - a)

The interval is given as:

x = 1 to x = 3

From the table of values, we have:

f(1) = 7

f(3) = 13

So, we have:

m = (13-7)/(3-1)

Evaluate

m = 3

Hence, the average rate of change for this function for the interval from x = 1 to x = 3 is 3

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Considering the vertex of the parabola, the correct statement is given by:

The range of the function is all real numbers less than or equal to 9.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

Considering the coefficient a, we have that:

In this problem, we have that:

Hence the range is described by:

The range of the function is all real numbers less than or equal to 9.

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Answer: 125 pounds

Step-by-step explanation:

Let's first represent the weight of the black rhinoceros and chimpanzee with variables. We will assign r for the rhinoceros and c for the chimpanzee.

In the question, we were given that the weight for a black rhinoceros is 18 times as much as an average-size chimpanzee. This makes 18 times the chimpanzee's weight equal to the rhinoceros' weight.

Let's put this into an equation.

[tex]r=18*c[/tex]

Now, let's put in the values we know to find the weight of the chimpanzee (i.e., c). We know the weight of a rhinoceros (represented by r) is 2250 pounds, so we can replace it for r in the equation.

[tex]2250=18*c[/tex]

To solve this equation, we can divide both sides by 18 to get c by itself and know what it's value is.

[tex]\frac{2250}{18}=\frac{18*c}{18}[/tex]

We can remove the [tex]\frac{18}{18}[/tex] from the right side to be left with c. We can also divide 2250 by 8 to get the weight of an average-size chimpanzee.

[tex]c=\frac{2250}{18}\\ c=125[/tex]

Hence, an average-size chimpanzee weighs 125 pounds.

[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: 10x + 30 = 90[/tex]

[ according to given figure ]

[tex]\qquad \sf  \dashrightarrow \: 10x = 90 - 30[/tex]

[tex]\qquad \sf  \dashrightarrow \: 10x = 60[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 60 \div 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: x = 6 \degree[/tex]

Correct choice is D

Answer:

-2 and -3

Step-by-step explanation:

The minimum of |sin 3x| is 0 and the max is 1 (since the sine function ranges from -1 to 1)

Therefore, the maximum is 1 - 3 = -2 and the minimum is 0 - 3 = -3.

A) The Period is 30 seconds

D) The amplitude is 25 m

A) Since the Ferris wheel makes 2 rotations every minute, then we can say that the period is;

T = 1/2 = 0.5 minutes = 30 seconds

B) Let t be time in seconds and let h be height and as such, we have the formula; h = 25 - 25 cos ((2π/30)t)

Thus, the table is attached showing input values of t and their corresponding h values.

C) The graph of the table above is as attached below.

D) The amplitude is;

Amplitude = (Maximum Point - Minimum Point)/2

Amplitude = (50 - 0)/2

Amplitude = 25

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Step-by-step explanation:

find the greatest number which divides 225 and 1029 leaving remainder of 5 in each case

Answer:

refer to the attachment

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

X' = (3, -1)

Y' = (2, -2)

Z' = (-1, -3)

If the coordinates (x, y) is rotated 270° counterclockwise, the resulting coordinate point will be;

(x, y) - > (y, -x)

From the given triangles, the coordinate points are expressed as

X = (1, 3)

Y = (2, 2)

Z = (3, -1)

If these coordinates are rotated 270° counterclockwise, the resulting coordinates will be;

X' = (3, -1)

Y' = (2, -2)

Z' = (-1, -3)

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a) The probability of a head exists at 0.7.

b) He could improve his experiment by doing more coin flips.

Probability signifies possibility. It exists a branch of mathematics that values the event of a random event. The value exists represented from zero to one.

Given: Coin flipped 10 times.

The Head comes T times and the tail comes 7 times.

To estimate the probability of head in the outcome.

The total number of outcomes is 10 and the head comes 7 times.

a) Probability(head) = 7/10 = 0.7

The probability of a head exists at 0.7.

b) He could improve his experiment by doing more coin flips

Therefore, the correct answer is option c) doing more coin flips.

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The missing Statement and reason for the transverse line angles is; m∠YXD = 60° and  Supplementary angles sum up to 180°.

Statement 1; AB ║ CD

Reason 1; Given

Statement 2; m∠ZYB = 60°

Reason 2; Given

Statement 3; ∠YXD and ∠DXW form a linear pair

Reason 3; Definition of Linear Pair

Statement 4; m∠YXD = 60°

Reason 4; Corresponding angles have equal measure.

Statement 5; m∠DXW = 120°

Linear pairs usually sum up to 180° because they are supplementary angles. Thus;

m∠YXD = 180° - 60° = 120°

Reason 5; Supplementary angles sum up to 180°.

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Answer:

[tex]0.75[/tex]

Step-by-step explanation:

750metres÷1000

As you move from left to right, the number of points in the star increases by 1 and is the best option which describes the diagram which is therefore denoted as option B.

This can be referred to an important object in geometry and is usually represented by a dot. It also helps to tell the exact location of substances or objects and doesn't have certain parameters such as the length or width.

We can deduce that Star 1 has four points, star 2 has five points and star 3 has six points. We can therefore infer that the stars in the diagram given below has some amount of points which increases by one as we move from left to right thereby making it the most appropriate choice in this type of scenario.

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