6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.

7. Factor and solve the following equation 2x2 + x - 21 = 0.

8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.

9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.

Answers

Answer 1

[tex]\rule{2000pt}{1000000pt}[/tex]


Related Questions

Write the inequality

Answers

The inequalities which the number lines represent are as follows;

x > 3x <= 2.

While writing inequalities represented on a number line;

We must observe the direction of the line; and also observe the shading on the starting point of the line.

In case 1:

The set of x values are represented as greater than 3;

Therefore, the inequality is; x > 3

In case 2:

The set of value are represented as less or equal to 2;

Therefore, the inequality is; x <= 2

The number line to represent the street sign is as in the attached image;

Read more on number line and inequalities:

https://brainly.com/question/1478009

Prove the identity.
sin(x+y) / cosxcosy = tanx+tany

Answers

[tex]\dfrac{\sin(x+y)}{\cos x \cos y}\\\\\\=\dfrac{\sin x \cos y + \sin y \cos x}{\cos x \cos y}\\\\\\=\dfrac{\tfrac{\sin x \cos y}{\cos x \cos y} + \tfrac{\sin y \cos x}{\cos x \cos y}}{\tfrac{\cos x \cos y}{\cos x \cos y}}\\\\\\=\dfrac{\tan x + \tan y}1\\\\\\= \tan x + \tan y[/tex]

Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.

Answers

Answer:

The probability is 1/100

Step-by-step explanation:

This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.

Simplify 5(2x−1)+(−4x+8) . Write your answer in factored form.

please make it simple :)

Answers

Answer:

6x+3

Step-by-step explanation:

I hope this is what you where looking for

If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?

Answers

Hey there!

√144

= 12^2

= 12 * 12

= 144

Therefore, your answer should be: 12

Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.

Anyways

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Find m

K
M
L
∠KML.

Answers

Answer:

m∠KML = 35°

Step-by-step explanation:

This is an isosceles triangle because 2 of the sides are equal so we know the 2 unknown angles are equal. The 3 angles of any triangle always add up to 180° so since we know 1 angle is 110° then the 2 unknown angles must add up to 70° (because 180° minus the known 110° leaves us with 70°). Since we know the 2 unknown sides are equal 70° ÷ 2 = 35°. So, m∠KML = 35°

help me plsss! need help

Answers

The answer will be 24

I need help asap very struggle with math

Answers

Answer:

16feet

part B is 18 feed for a good at a better than the price but the one

The cost of 5 story books is Rs 800. How many books can be bought for Rs 1,440?​

Answers

Answer:

cost of 5 story book=800

cost of 1 story book=800/5

=160

how many. book can be bought on rs.1400

=1400/160

=8.75

Step-by-step explanation:

=

It is your birthday and you are going to get a new cellphone. The day you buy the phone, you will have to pay the $49 interest fee and a $200 down payment. The remaining balance of the phone will be paid off in 24 equal payments. The total bill is $980, including the interest fee and down payment. Write an equation to solve for p, the required monthly payments

Answers

Answer:

$30.46

Step-by-step explanation:

Total payment = down payment + interest fee + 24 equal payments

980 = 200 + 49 + 24 equal payments

24 equal payments = 24 * p, as we add p 24 times

980 = 249 + 24p

subtract 249 from both sides to isolate p and its coefficient

731 = 24p

divide both sides by 24 to isolate p

p = 30.46

Extra Credit #4

What are the next two numbers in this pattern?

431
141311
1114111321
311431131211

Answers

Answer:

The next two numbers following:

431

141311

1114111321

311431131211

are:

132114132113111221

AND

11131221141113122113312211

Step-by-step explanation:

I shall explain the pattern below:

431 (just the digits 4, 3, and 1)

141311 (one 4 becomes 14, one 3 becomes 13, one 1 becomes 11 -> looking at each digit of the previous number, 431)

1114111321 (one 1 becomes 11, one 4 becomes 14, one 1 becomes 11, one three becomes 13, two consecutive 1s becomes 21 -> looking at each digit of the previous number, 141311)

311431131211 (three consecutive 1s becomes 31, one 4 becomes 14, 3 more consecutive 1s becomes 31, one 3 becomes 13, one 2 becomes 12, and one 1 becomes 11 -> looking at each digit of the previous number, 1114111321)

NEXT TWO NUMBERS:

one 3 (13), two consecutive 1s (21), one 4 (14), one 3 (13), two consecutive 1s (21), one 3 (13), one 1 (11), one 2 (12), two consecutive 1s (21)

that makes: 132114132113111221

one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 4 (14), one 1 (11), one 3 (13), one 2 (12), two consecutive 1s (21), one 3 (13), three consecutive 1s (31), two consecutive 2s (22), one 1 (11)

that makes: 11131221141113122113312211

The rule is that the next number is essentially the previous number with the number of times each digit appears consecutively before each digit of the previous number. I know that sounds convoluted. Hopefully it makes enough sense. Let me know if I should explain more fully.

When a number is subtracted from 24 and the difference is divided by that number, the result is 3. What is the value of the number?

a) 2
b) 4
c) 6
d) 12
e) 24

Answers

24-x /x= 3
24-x= 3x
24= 4x
x= 6

Solve and check answer 3(4-5x)=3(4x+3)

Answers

Hey there!

3(4 - 5x) = 3(4x + 3)

3(4) + 3(-5x) = 3(4x) + 3(3)

12 - 15x = 12x + 9

-15x + 12 = 12x + 9

SUBTRACT 12x to BOTH SIDES

-15x + 12 - 12x = 12x + 9 - 12

SIMPLIFY IT!

-27x + 12 = 9

SUBTRACT 12 to BOTH SIDES

-27x + 12 - 12 = 9 - 12

CANCEL out: 12 - 12 because it gives you 0

KEEP: 9 - 12 because it helps solve for the x-value

NEW EQUATION: -27x = 9 - 12

SIMPLIFY IT!

-27x = -3

DIVIDE -27 to BOTH SIDES

-27x/-27 = -3/-27

CANCEL -27/-27 because that gives you 1

KEEP: -3/-27 because it helps solve for the x -value

NEW EQUATION: x = -3/-27

SIMPLIFY IT/REDUCE the FRACTION!

x = 1/9

Therefore, your answer is: x = 1/9

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

1. The length of time, in hours, it takes an "over 40" group of people to play one soccer match is
normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of
size n = 50 is drawn randomly from the population. Find the probability that the sample mean is
between 1.8 hours and 2.2 hours.​

Answers

The probability that the sample mean is between 1.8 hours and 2.2 hours. is; 0.99535

What is the Probability in Normal Distribution?

We are given;

Sample size; n = 50

Standard deviation; σ = 0.5

Mean; μ = 2

The formula to find the z-score for each sample mean is;

z = (x' - μ)/(σ/√n)

Thus, for x' = 1.8, we have;

z = (1.8 - 2)/(0.5/√50)

z = -2.83

For x' = 2.2, we have;

z = (2.2 - 2)/(0.5/√50)

z  = 2.83

Thus, the probability that the sample mean is between 1.8 hours and 2.2 hours. is;

P(-2.83 < Z < 2.83) = 0.99535

Read more about Normal Distribution Probability at; https://brainly.com/question/4079902

#SPJ1

If x = 6, what is the value of 3x2 - 13?

Answers

Answer:

the answer should be 95

Step-by-step explanation:

hope this helps!❆

Answer:

value is 95

Step-by-step explanation:

if x = 6

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

3x² - 133(6²) - 133(36) - 13108 - 1395

value of 3x2 - 13 is 95

Help help help math math math

Answers

81°

Step-by-step explanation:

The sum.of the interior angles of a triangle is equal to 180°. Hence, in our triangle, we can see that

[tex]41° + 58° + \angle{3} = 180° \Rightarrow 99°+\angle{3} = 180°[/tex]

We then see that

[tex]\angle{3} = 180° - 99° = 81°[/tex]

Answer: 81 i believe

Step-by-step explanation:

Are these shapes similar?
yes or no ​

Answers

Answer:

I’d say yes.

If you stretched the second shape then I think both shapes would look similar.

Yes ASA! so they are similar

Randy can run six-tenths of a mile every 4 minutes, but it takes Julie 5 minutes. By the time Julie has run for 20 minutes, how far has Randy run?

A
1.8 miles

B
2.4 miles

C
2.6 miles

D
3 miles

Answers

Answer:

D!!!

Step-by-step explanation:

you have to make a table to see that randy has run 3 miles.!!!

Answer: D is the correct answer!

Step-by-step explanation: Like the one above me!


Find the area of the equilateral triangle.

Answers

Answer:

try 6.93 for answer on equilqteral triangle

Find the 87th term of the arithmetic sequence 1,14,27,….

Answers

Answer:

[tex]a_{87}=1119[/tex]

Step-by-step explanation:

Arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where d is the common difference between terms and n is the index of any given term.

Find the difference between the terms in the given sequence here:

[tex]14-1=13\\27-14=13[/tex]

Each term has a common difference of 13. Using that, you can write the equation for this sequence:

[tex]a_n=1+(n-1)13[/tex]

Finally, you can use this equation to find the 87th term by plugging in 87 for n:

[tex]a_{87}=1+(87-1)13\\a_{87}=1+(86)13\\a_{87}=1+1118\\a_{87}=1119[/tex]

Evaluate "four dollars less than the cost
of a sweater" if a sweater costs $22
a
a

Answers

The actual cost of the sweater is $18

The question says to evaluate the cost of four dollars less than the cost of a sweater.

To do this, what we have to do is to create a mathematical equation of it.

Less than always insinuates that we are to subtract, and as such, we are going to subtract four dollars from the cost of the sweater to get our final answer.

Four dollars less than the cost of a sweater that costs $22 is

22 - 4 = $18

Learn more about evaluating cost here https://brainly.com/question/14315509

There are 40 pupils in a class. 75% of them are present. How may are present? How many are absent?
with solution please :D​

Answers

Answer:

30 are present 10 are absent

Step-by-step explanation:

75%=3/4

so 3/4 of them are absent

3/4(40)=30

and 40-30=10 are absent

will mark brainliest Select the correct answer.
Which relation is a function?
ОА
ху
14 -2
5 -3
6 -2
7-3
ОВ.
ху
310
220
3 30
440
ОС
Х У
-52
-53
-104
-105
OD.
ху
1015
2025
8 30
2035

Answers

mhm so basically 3-2 = 1 which works

The counting number ABAB is a multiple of 36. If different letters represent different digits, what is the greatest value ABAB can have? PLS HELP ONLY 10 minutes

Answers

The greatest value ABAB can have is 7272.

The given parameters:

Counting number ABAB = multiple of 36

The counting number can be expanded as follows;

ABAB = 100 x AB  + AB

          = AB00 + AB

          = AB(100 + 1)

          = AB(101)

101 is a prime factor of AB and has only two factors.

The prime factor of 101 = 1 x 2

Since 101 is prime, the counting number AB must 2-digits multiples of 36.

The greatest value ABAB can have is calculated as follows;

ABAB = (36 x 2)(36 x 2)

ABAB = 7272

Thus, the greatest value ABAB can have is 7272.

Learn more about prime factors here:  https://brainly.com/question/24612438

Kelly is nine years older than her sister. Kelly's age is one more than twice her sisters age. What is Kelly's age?

Answers

Answer:

17 years old

I hope this helps

I think it might be right

sorry if it is wrong

A
Hilda has a bank account balance of $1550. Each week, her balance changes by −$82.50. She wants to keep the balance above $395.

How many weeks will Hilda's balance remain above $395?

Select from the drop-down menu to correctly complete the statement.

Hilda's bank balance will remain above $395
Choose...
weeks.

Answers

Step-by-step explanation:

1550 - 395 = 1155

1155 / 82.5 = 14

Answer should therefore be 14 weeks.

Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.

Answer:

K12 Answer

Step-by-step explanation:

x²- 8x-9=0 i need some help over here

Answers

Factorise the equation first of all.

The easiest way to do this is to find two number that add to make the middle (-8) and multiply to make the last number (-9)

Two numbers with this property are -9 and 1

So when you factorise, your equation becomes (x-9)(x+1) = 0

From these you can conclude that for the equation to be equal to 0, either

x-9= 0
So x = 9

Or
x+1 = 0
And
x= -1

Answer:

(x+1)(x-9)

Step-by-step explanation:

Break the equation: x²- 8x-9=0 into groups:

([tex]x^{2}[/tex]+x)+(-9x-9)

Factor X out of [tex]x^{2}[/tex]+x:    x(x+1)

Then Facor -9 out of (-9x-9):  -9(x-1)

This means that you can simplify these 2 equations: (x-9) & (x+1)

So your answer is: (x+1)(x-9)

The total cost of a sketchpad and 6 pecils is $22.53. The sketch pad costs $9.99. Each. pencil costs the same amount. How much does each pencil cost

Answers

Answer:

22.53-9.99=12.54

12.54 divided by 6 = 2.09

Each pencil costs $2.09

Step-by-step explanation:

find the value of p-8 when p=14

Answers

Answer:

6

Step-by-step explanation:

If p = 14

rewrite the equation

so replace the variable with 14.

now do basic subtraction.

14 - 8

= 6

John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.


Trial 1:

Trial 2:

Answers

ithink this is the literal answer

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