Solve the problem below by answering the guide questions. Write your
complete solution and answers in the appropriate places.
Problem: A bicycle chain fits tightly around two Graphical Representation:
gears. The smaller gear has a radius of 4 cm and
the bigger one has a radius of 8 cm. One side of
the chain attaching the gears has a length of 43 cm.
Find the distance between the centers of the two
gears.
(You may write your own solution here)

answer:

it's a function

step-by-step explanation:

according to g00gle- in mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set. typical examples are functions from integers to integers, or from real numbers to real numbers.

but the simple definition is that a function is when the x value isn't being repeated. and since in your case it isn't, the table is a function

another way to solve-

for this, we will put the pairs into a graph then perform the line test-

as you can see each point has its own individual line, therefore, meaning it passed the vertical line test

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

Answer:

B).

Step-by-step explanation:

Unit rate = 720/60

= 72/6

= 12.

- and sore hands!!!!

Answer:

a = -3

Step-by-step explanation:

Step 1:  Since we're told that 5 to the power of a = 1/125, we can use the following equation to solve for a:

5^a = 1/125

Step 2:  Take the log of both sides

log(5^a) = log(1/125)

Step 3:  According to the power rule of logs, we can bring a down and multiply it by log(5):

a * log(5) = log (1/125)

Step 4:  Divide both sides by log(5) to solve for a:

(a * log(5) = log(1/125)) / log(5)

a = -3

Optional 5:  We can check our answer by plugging in -3 for a and seeing if we get 1/125 when completing the operation:

5^-3 = 1/125

1/(5^3) = 1/125 (rule of exponents states that a negative exponent creates a fraction with 1 as the numerator and the base (5) and exponent (-3 becoming 3) as the denominator

1/125 = 1/125

There would be 4 remaining secret codes.

If an initial guess of three different colors is scored with two white key pegs, it means that two of the guessed colors are correct but not in the correct positions.

To determine the number of secret codes that remain, we need to consider the remaining possibilities.

Let's assume there are six different colors available for the secret code.

For the two colors that are correctly guessed but not in the correct positions, there are two possible positions for each color.

So, we can calculate the number of remaining secret codes using the formula:

Remaining secret codes = (Number of colors - Correctly guessed colors)^(Number of positions - Correctly guessed positions)

In this case, the number of remaining secret codes would be:

Remaining secret codes = (6 - 2)⁽³⁻²⁾ = 4¹ = 4

The complete question is:

The Number of colors is 6 and If an initial guess of three different colors is scored with two white key pegs, how many secret code remain?

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Answer:

no

Step-by-step explanation:

Answer:

girl im sorry but no

Answer:

The value of x is 12

Step-by-step explanation:

4x3=12

7x3=21

Therefore 12/21

To explain further:

If you divide 12 by 3 you get 4

If you divide 21 by 3 you get 7

Therefore resulting to 4/7

(I found out that the number three goes in both numbers to begin with)

Is this clearer?

a) the expression of P(t) describing the population of crocodiles at any time t is: P(t) = 10 * e\(^{(0.1823t)}\)

b) it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.

a) To determine the expression of P(t) describing the population of crocodiles at any time t, we can use the formula for exponential growth, which states that P(t) = P0 * e\(^{(rt)}\) where P0 is the initial population, r is the growth rate, and t is the time.

Given that the initial population P0 is 10 crocodiles and the population after 6 months is 12 crocodiles, we can use this information to find the value of r.

Using the formula P(t) = P0 * e\(^{(rt)}\) and plugging in the values, we have:

12 = 10 * e\(^{(r * (6/12))}\)

Simplifying further:

12/10 = e\(^{(r/2)}\)

1.2 = e\(^{(r/2)}\)

To find the value of r, we can take the natural logarithm of both sides:

ln(1.2) = r/2

r/2 ≈ 0.1823

Therefore, the expression of P(t) describing the population of crocodiles at any time t is:

P(t) = 10 * e\(^{(0.1823t)}\)

b) To find the population of crocodile species A after 2 years, we substitute t = 2 into the expression we derived in part a:

P(2) = 10 * e\(^{(0.1823 * 2)}\)

P(2) ≈ 10 * e\(^{(0.3646)}\)

P(2) ≈ 10 * 1.4406

P(2) ≈ 14.406

Therefore, the population of crocodile species A after 2 years is approximately 14.406 crocodiles.

c) To determine how long it would take for the population of crocodiles to reach 30, we can set the population P(t) equal to 30 and solve for t in the expression we derived in part a:

30 = 10 * e\(^{(0.1823t)}\)

3 = e\(^{(0.1823t)}\)

Taking the natural logarithm of both sides:

ln(3) = 0.1823t

t = ln(3) / 0.1823

t ≈ 4.522

Therefore, it would take approximately 4.522 time units (months or years, depending on the unit of t) for the population of crocodiles to reach 30.

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The given function is neither continuous nor differentiable at x = 1.

Given the piecewise function defined below, the function is not continuous at x = 1 because the left-hand limit is not equal to the right-hand limit. Specifically, the left-hand limit of f(x) as x approaches 1 is 3, while the right-hand limit of f(x) as x approaches 1 is 4. Furthermore, the function is not differentiable at x = 1 because the derivative does not exist at this point. This is because the derivative of the function is discontinuous at x = 1, with a derivative of 0 for x < 1 and a derivative of 1 for x > 1.

Therefore, the function f(x) is not continuous or differentiable at x = 1.

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Answer:

20=x/7

switch the places of x and 20

x=20x7

because moving to the other side of the equal sign means the sign is switched too.

x=140

Answer:

x = 140

Step-by-step explanation:

20 = \(\frac{x}{7}\) ( multiply both sides by 7 to clear the fraction )

7 × 20 = x , that is

x = 140

Answer:

$241.60

Step-by-step explanation:

100%->$755

1%->$755÷100=$7.55

4%->$7.55×4=$30.20

4×8=32

32%->$7.55×32=$241.60

(a) The supply when the price is $10 is 18 units. (b) The demand when the price is $10 is 21 units. (c) The equilibrium price is $7, and both the quantity supplied and demanded at this price are 9 units. (d) The supply curve crosses the horizontal axis at the point (4, 0), indicating that at a price of $4, there is no supply of CDs.

(a) To find the supply when the price is $10, substitute p = 10 into the supply equation:

q = 3p - 12

q = 3(10) - 12

q = 30 - 12

q = 18

Therefore, the supply when the price is $10 is 18 units.

(b) To find the demand when the price is $10, substitute p = 10 into the demand equation:

q = -2 + 23

q = 21

Therefore, the demand when the price is $10 is 21 units.

(c) To find the equilibrium price, set the supply equal to the demand and solve for p:

3p - 12 = -2 + 23

3p = 21

p = 7

The equilibrium price is $7. To find the corresponding quantity supplied and demanded, substitute p = 7 into either the supply or demand equation:

For supply:

q = 3p - 12

q = 3(7) - 12

q = 21 - 12

q = 9

For demand:

q = -2 + 23

q = 21

Therefore, at the equilibrium price of $7, both the quantity supplied and demanded are 9 units.

(d) To find where the two lines cross the horizontal axis, set q = 0 and solve for p in each equation:

For supply: q = 3p - 12

0 = 3p - 12

3p = 12

p = 4

For demand: q = -2 + 23

0 = -2 + 23

2 = 23 (not possible)

The economic interpretation of the point (4, 0) on the horizontal axis for the supply equation is that at a price of $4, there is no supply of CDs. This could indicate that the cost of production or other factors make it unprofitable to supply CDs at that price.

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Answer:

(-6, -1)

Step-by-step explanation:

x =  (Xa + Xb)/2

-2 = (4 + Xb)/2

-2 = 4 + Xb

Xb = -6

y = (Ya + Yb)/2

-2 = (3 + Yb)/2

Yb + 3 = -4

Yb = -1

The explicit rule formula an = -2n + 8 is an arithmetic progression

The value of a11 is -14

The explicit rule formula is given as:

an = -2n + 8

Substitute 11 for n to calculate a11

a11 = -2 * 11 + 8

Evaluate the product

a11 = -22 + 8

Evaluate the sum

a11 = -14

Hence, the value of a11 is -14

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Answer:

The cost price of the item is $ 3,200, and the marked price of the item is $ 4,000.

Step-by-step explanation:

Since the marked price of an article is 25% above it's cost price, and when it is sold at a discount of 15% there is a gain of $ 200, to find the cost price of the article and the marked price of the article the following calculation must be performed:

X x 1.25 x 0.85 = X + 200

1.0625X = X + 200

6.25 = 200

100 = X

100 x 200 / 6.25 = X

20,000 / 6.25 = X

3,200 = X

3,200 x 1.25 = 4,000

Therefore, the cost price of the item is $ 3,200, and the marked price of the item is $ 4,000.

.

The new image will be formed 60 cm on the same side of the lens as the object. The image will be real and inverted, as indicated by the positive value for v'

Given m = -1, we can solve for v in terms of u (or vice versa), and we find that v = -u. This means the object and image are the same distance from the lens, but on opposite sides.

Since the distance between the object and image is 60 cm (total), we know that each must be 30 cm from the lens (since they are equidistant from the lens).

Therefore, u = -30 cm and v = 30 cm (taking the convention that distances measured in the direction of light propagation are positive).

The lens formula, which relates the object distance (u), the image distance (v), and the focal length (f) of a lens, is given by:

1/f = 1/v - 1/u

Substituting the values we found for v and u:

1/f = 1/30 cm - 1/-30 cm = 2/30 cm = 1/15 cm

So, f = 15 cm.

Next, if the object is moved 20 cm towards the lens, the new object distance will be u' = -30 cm + 20 cm = -10 cm.

Substituting into the lens formula to find the new image distance:

1/f = 1/v' - 1/u'

1/15 cm = 1/v' - 1/-10 cm

1/15 cm + 1/10 cm = 1/v'

(2 + 3) / (30 * 10) = 1/v'

5/300 = 1/v'

v' = 300/5 = 60 cm

The new image will be formed 60 cm on the same side of the lens as the object. The image will be real and inverted, as indicated by the positive value for v' (according to the convention we chose).

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The time taken to finish the race is 3.49 hours

Speed is defined as. The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered.

Given,

The total distance = 500 miles

The speed = 143.187 mph

We know, Speed = Distance / Time

Time = Distance / Speed

Substitute the values

Time = \(\frac{500}{143.187}=3.49\) hours

Hence, the time taken to finish the race is 3.49 hours

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Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

Answer:

i don't know

Step-by-step explanation:

i am lower grade srry

Answer:

A' (-0.20, -0.75)

B' (-1.50, -1.50)

C' (-1.79, -0.29)

D' (-10.45, -0.20)

Step-by-step explanation:

you just need to multiply all the points by -0.5, sorry not sure how to verify the ratios for the sidelength tho

The coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

We need to Dilate quadrilateral ABCD again with the origin as the center of dilation and a scale factor of -0.5.

The side lengths of the corresponding sides in each quadrilateral.

A(0.4, 1.5)

B(3, 3)

C(3.58, 0.57)

D(2.09, 0.4)

The scale factor is -0.5.

Now A'=(-0.4×0.5, -1.5×0.5)

=(-0.2, -0.75)

B'=(3×-0.5, 3×-0.5)

=(-1.5, -1.5)

C'=(3.58×-0.5, 0.57×0.5)

C'=(-1.79, -0.285)

D'=(2.09×-0.5, 0.4×-0.5)

D'=(-1.045, -0.2)

Hence, the coordinates of the dilated quadrilateral are A'(-0.2, -0.75), B'(-1.5, -1.5), C'(-1.79, -0.285) and D'(-1.045, -0.2) and the ratio of each side length of A'B'C'D' to the corresponding side length of ABCD is equal to the dilation factor.

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The standard error of the sampling distribution of the sample mean is a measure of the variability of sample means that would be obtained from repeated sampling of the same population. It is calculated as the standard deviation of the sampling distribution of the sample mean.

In other words, the standard error reflects how much the sample means from different samples would be expected to vary from the true population mean. As the sample size increases, the standard error decreases because the sample means become more representative of the population mean. Conversely, as the sample size decreases, the standard error increases because the sample means become less representative of the population mean.

The formula for calculating the standard error of the sample mean is:

Standard Error = Standard Deviation / Square root of Sample Size

where the standard deviation is the variability of the population and the sample size is the number of observations in the sample.

The standard error is an important concept in statistical inference because it is used to calculate confidence intervals and hypothesis tests for population means based on sample means. A larger standard error indicates that there is more uncertainty in the estimate of the population mean, and a smaller standard error indicates that the estimate is more precise. In conclusion, the standard error of the sampling distribution of the sample mean is a measure of the variability of sample means that would be obtained from repeated sampling of the same population. It is a key concept in statistical inference and is used to calculate confidence intervals and hypothesis tests for population means based on sample means.

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Answer: a>l and a<164

Step-by-step explanation:

The first one is that because Andre’s height is greater than Lin’s (the letters represent their names, but if the paper says to use other variables, do that)

The second one is because Andre’s height is less than his teacher’s, which is 164. For that one, you could also do 164> a, but I’d go with the first one.

Hope this helps :D

Answer:

Solution,

\(f(x) = - 4 {x}^{2} + 5x \\ f(6) = - 4 \times {6}^{2} + 5 \times 6 \\ \: \: \: \: \: \: = - 4 \times 36 + 30 \\ \: \: \: = - 144 + 30 \\ \: \: \: - 114\)

hope this helps.

Good luck on your assignment..

Answer:

-114

Step-by-step explanation:

To find f(6), you need to plug in the value in parentheses wherever there is an x in the equation.

f(x) = -4x + 5x

f(6) = -4(6) + 5(6)

f(6) = -4(36) + 30

f(6) = -144 + 30

f(6) = -114

The answer is -114.

Answer:

0.93

Step-by-step explanation:

this is the correct answer you want please follow me and make me brainlist

The total interest you will earn in 30 years is approximately $241.61.

To calculate the total interest earned in 30 years, we need to use the formula for compound interest:
A = P(1 + r/n)^(nt) - P
Where:
A = the future value of the investment
P = the principal amount (initial deposit)
r = the annual interest rate (in decimal form)
n = the number of times the interest is compounded per year
t = the number of years
In this case, the principal amount is $200, the annual interest rate is 3% (or 0.03 as a decimal), the interest is compounded monthly (so n = 12), and the time period is 30 years (so t = 30).
Plugging in these values into the formula:
A = 200(1 + 0.03/12)^(12*30) - 200
Now we can simplify and calculate:
A = 200(1.0025)^(360) - 200
A = 200(2.208040033) - 200
A ≈ 441.6080066 - 200
A ≈ 241.6080066

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Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.

We have,

To estimate the number of Grade 8 students in the school who plan to take computer science in high school, we can use the proportion of students in the sample who plan to take computer science.

The proportion of students who plan to take computer science in the sample.

= 15/27

= 0.5556

We can assume that this proportion is representative of the entire Grade 8 population in the school.

To estimate the number of Grade 8 students who plan to take computer science, we can multiply this proportion by the total number of Grade 8 students in the school:

= 0.5556 x 326

= 181

Therefore,

Based on the sample, we can estimate that about 181 Grade 8 students in the school plan to take computer science in high school.

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Answer:

\( - 4x + 6 = 6x - 2 \\ 6x + 4x = 6 + 2 \\ 10x = 8 \\ x = \frac{8}{10} = \frac{4}{5} \\ x = 0.8 \)

i got 2.7 by dividing 12.15 by 4.5 but im not 100% sure if thats it