[100 POINTS] What is the measure of the arc from A to B that does not pass through C?

(Fill in the blanks)

Using an exponential function, it is found that it will take 24 years for the current population of 4800 deer to reduce to 600.

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, considering the initial value of 4800, and that the population halves every 8 years, the equation is given by:

[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]

The population will be of 600 when A(t) = 600, hence:

[tex]A(t) = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]

[tex]600 = 4800\left(\frac{1}{2}\right)^{\frac{t}{8}}[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{600}{4800}[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \frac{1}{8}[/tex]

[tex]\left(\frac{1}{2}\right)^{\frac{t}{8}} = \left(\frac{1}{2}\right)^3[/tex]

Hence:

t/8 = 3.

t = 24.

It will take 24 years for the current population of 4800 deer to reduce to 600.

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Answer:

For the first triangle:

[tex]2.75 units^{2}[/tex]

For the second triangle:

[tex]3.98 units^{2}[/tex]

Step-by-step explanation:

To find area of right triangles:

[tex]A=\frac{ab}{2}[/tex]

And you are good to go!

Please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day!

:)

Answer:

X= 2.667  or X= -2.5

Step-by-step explanation:

sorry if this isn't correct </3

Answer:

No

Step-by-step explanation:

If you draw a line, it will not go through the origin and there isn't a constant rate of change.

Answer: That is most likely an unsolvable question.

Step-by-step explanation: PEMDAS

3×4×100±67≤65 Doesn’t work.

3x4= 12 ~ 12x100=1200 ~ 1200+67=1267  ~ 1267<65

556∪120D⊥p=13⇆87∞44f1······ Also clearly isn’t a math question

I am not sure if this helps. But I really did look into it and found nothing. I am So sorry to disappoint.

Answer:

  (c)  Yes, +4 more

Step-by-step explanation:

The problem statement is telling you the available quantity in pounds. The answer choices are expressing the difference in terms of packets. A conversion of units of measure is needed.

__

Patel has 8 pounds of seed, and he puts it into 1/2-pound packets. Each pound will fill two (2) half-pound packets, so he has enough for ...

  (8 lb) × (2 packets/lb) = 16 packets

Patel has 12 people planting seed, so needs 12 of the 16 packets in order to give each team member one packet.

He has enough seed for this need, and enough for 16 -12 = 4 more packets than he needs.

The factor of the function from the given option is d. x+4

The function is a type of relation, or rule, that maps one input to specific single output.

The solutions of the cubic function f(x) are -4, 5/3, and 1. WE need to  identify a factor of this function.

So, the solution are

x = -4

Factor;

x + 4

now,

x = 5/3

Factor;

x - 5/3 = 0

3x - 5 = 0

also,

x = 1

Factor;

x - 1= 0

Therefore, the factor of the function from the given option is d. x+4

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Answer:

x2

Step-by-step explanation:

bcs yeah

Coordinates after 270 clockwise rotation is (-6,-2), (-3,-5) and  (-8, -5).

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

Given coordinates are: (-2,6) , (-5, 3) and (-5, 8)

For 270° clockwise about the origin, we have the following rule:

(x, y)= (-y, x)

So,

coordinates  (-2,6) change into (-6,-2)

coordinates   (-5, 3) change into (-3,-5)

coordinates  (-5, 8) change into (-8, -5).

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Answer:

Step-by-step explanation:

Use the equation of area of circle:

Substitute π with 22/7 and r with 35 m as per question.

Correct choice is B (with slight difference)

Answer:

B.  3850 m²

Step-by-step explanation:

The area of the base of the lighthouse can be modeled as a circle.

Area of a circle

[tex]\textsf{A}=\pi r^2 \quad \textsf{(where r is the radius)}[/tex]

Given:

Substitute the given values into the formula and solve for A:

[tex]\implies \sf A=\dfrac{22}{7} \cdot 35^2[/tex]

[tex]\implies \sf A=\dfrac{22}{7} \cdot 1225[/tex]

[tex]\implies \sf A=\dfrac{26950}{7}[/tex]

[tex]\implies \sf A=3850\:\:m^2[/tex]

Therefore, the area of the circular base of the lighthouse is 3850 m²

Answer:

Lines J and K are parallel :)

Step-by-step explanation:

Parallel: (of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.

It would be Lines J and K are parallel because they never cross and the other statements are incorrect :)

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Answer:

One team must play 8 games 3 times equals 24 games

One team must play 24 games

But each game uses 2 teams so there are 12 games in all

Or 9 * 24 / 2 = 108 games

Check: If there were 3 teams then one team must play

2 games 3 times  for a total of 6 times so the total of games played will be six for each team or 18 games, but each game uses 2 teams so the total of games is nine:  1-2, 2-3, 1-3 (each team has played its opponent once) - 3 * 3 = 9

T = number of teams in league

(T - 1)    1 team plays each other once

(T - 1) * T  each team has played 1 game for entire league

(T - 1) * T / 2   total games to be played for 1 game each

G *  (T - 1) * T / 2     where G is number of games

The speed of the car in kilometres per minutes is 2.6565 km/minutes

The car speed is 99 miles per hours.

Therefore,

1 miles  = 1.61 km

99 miles = ?

cross multiply

distance = 159.39 km

Therefore,

1 hour = 60 minutes

Hence,

speed = 159.39  / 60

speed = 2.6565

speed = 2.6565 km/minutes

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Considering the given graph, the number of solutions for the system of equations is given by:

b.) one

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In a graph, the number of solutions is given by the number of times the lines intersect. Hence, in this problem, the system has one solution, and option b is correct.

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Answer:

[tex]y=-\frac{5}{6} + 7[/tex]

Step-by-step explanation:

Slope-intercept formula requires us to isolate the y variable. We can do this in just a couple of steps.

1) Move 5x from the left to the right side by subtracting 5x from both sides. This cancels out the 5x on the left side, and remember, what we do to one side we must do to the other to keep the equation balanced.

[tex]6y=-5x+42[/tex]

2) Divide both sides by 6. Again, we are cancelling out the 6 on the left but we must also divide on the right. This would mean dividing -5 and 42 by 6 to get:

[tex]y=-\frac{5}{6} + 7[/tex]

Answer:

16.4cm3

Step-by-step explanation:

hope this helps

Volume

Answer:

C, D, and E

Step-by-step explanation:

85-20=65

t>65

This means all the numbers greater than 65.

Do not include 65 because it is not a greater than or equal to symbol.

Hope this helps!

If not, I am sorry.

The mean is 8 gerbils and the MAD is 4.29.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

(0 + 3 + 6 + 9 + 11 + 13 + 14) / 7 = 8

What is the MAD?

MAD =  ∑ l x - m(x) l

| (0 - 8) + (3 - 8) + (6 - 8) + (9 - 8) + (11 - 8) + (13 - 8) + (14 - 8)| / 7 = 4.29

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Answer:

a^4

a^2×a^3= a^5(a^2+3)

a^5/a= a^4(a^5-1)

Using proportions, it is found that Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

He paid a total of $280 during 8 months, hence the monthly amount he paid is given by:

M = 280/8 = $35.

Without the discount, he would have paid $5 more, hence Noah would be charged $40 each month for his cell phone bill each month if he stopped using auto pay.

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Andrea is designing the seating arrangement for a concert in her local park. The number of seats in row 20 would be 86 seats.

Arithmetic sequence is a sequence where each consequtive term has a common constant difference.

An arithmetic sequence, therefore, is defined by two parameters, viz. the starting term and the common difference.

The arithmetic sequence formula is;

aₙ = a + (n − 1)d,

where;

a is the first term

n is the position of the term in the sequence

d is the common difference

aₙ  is the nth term of the sequence.

Our sequence is 10, 14, 18, 22 up to row 20.

Using the sequence formula;

[tex]a_{20} = 10 + (20 - 1)4.\\a_{20} = 10 + (19\times 4)\\a_{20}= 10 + 76\\a_{20}= 86.[/tex]

Thus, the number of seats in row 20 was 86 seats.

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Answer:

the opposite of the Justine score (-7) = Meghan  score  (7)

-(-7)=7

Step-by-step explanation:

Answer: Choice B

A horizontal shift of 4 to the right.

========================================================

Reason:

Replacing x with x-4 basically means we're decreasing each input by 4 units.

What this does is move the xy axis 4 units to the left. If we held the function curve fixed in place as the xy axis moved like this, then it would give the illusion the function is moving 4 units to the right.

Visual confirmation is shown below.

Answer:

x=5 .........................................

Answer:

C. median

Step-by-step explanation:

AD is median because it's dividing BC in two equal parts.

Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125