On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming

these flowers rapidly increases as the trees blossom. The locust population gains 87% of its size every 2.4

days, and can be modeled by a function, L, which depends on the amount of time, t (in days).

Before the first day of spring, there were 1100 locusts in the population.

Write a function that models the locust population t days since the first day of spring.

L(t) =

Answers

Answer 1

Answer:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]

Step-by-step explanation:

The locust population grows according to an exponential model with the following general formula:

[tex]L(t) = L_0*(1+r)^{\frac{t}{T}}[/tex]

Where 'L0' is the initial locust population, 'r' is the increase rate after 'T' days, and 't' is the time passed, in days.

Applying the given data, the function that models the locust population t days since the first day of spring is:

[tex]L(t) = 1,100*(1+0.87)^{\frac{t}{2.4}}[/tex]


Related Questions

According to the graph, the first coordinate of which point is a negative number

Answers

Answer:

Coordinate D. Because D lies on the 2nd quadrant, meaning that x has a negative value whereas y is positive.

Answer:

D

Step-by-step explanation:

the coordinate is (-2, 2)

the x-axis goes first, then the y

What is a prime number

Answers

Answer:

a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).

Step-by-step explanation:

A prime number is a number that has only two factors 1 and the number itself

Complete the point-slope equation of the line through (1,-1) and (5,2)
Use exact numbers

y-(-1)=

Answers

Answer: (y-2) = 0.75(x-5)

Step-by-step explanation:

y-y₁=m(x-x₁)

Pls answer this question correctly and I will mark it has brainlist please

Answers

Answer:

18.5

Step-by-step explanation:

First find the area of the two triangles.

1.5 * 1.5 = 2.25

Find the area of the two top rectangles: 2.5 * 1.7 * 2 = 8.5

Finally, find the area of the floor: 1.5 * 2.5 = 3.75

2.25 + 8.5 + 7.75 = 18.5

How many lines can be drawn through points J and K?
0
1
2
3

Answers

Answer:

1

Step-by-step explanation:

Answer:

Only one line can be drawn

4 lines extend from point E. A horizontal line extends to the left to point A and a vertical line extends up to point C. Another line extends halfway between the other 2 lines to point B. Lines A E and E C form a right angle.
Given that ∠CEA is a right angle and Ray E B bisects ∠CEA, which statement must be true?

Answers

Answer:

m∠CEB = 45°

Step-by-step explanation:

Answer:

m∠CEB = 25°

Step-by-step explanation:

Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm​

Answers

Solution

Hello

I think I know the answer; it is:

41°

Step-by-step explanation:

41° because it’s a right angle and if 90=2y+8, y=41

Please mark my answer.

Cheers, Jake

41 or 10 Hope this helps

x + (-11) = -18
X =
Answer here
I

Answers

Answer:

We add 11 to each side to get rid of -11 so x = -18 + 11 = -7.

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other.

Add 11 to both sides:

x + (-11) = -18

x - 11 = -18

x - 11 (+11) = -18 (+11)

x = -18 + 11

Simplify. Combine like terms:

x = -18 + 11

x = -7

x = -7 is your answer.

~

A right triangle has a hypotenuse with length 13 in. and a leg with length 12 in. Find the area of triangle

Answers

Answer:

[tex]30 {in}^{2} [/tex]

Step-by-step explanation:

First we have to find the value of the other leg of the triangle. To find that we can use the PYTHAGORAS theorem because this is an right triangle.

[tex] {h}^{2} = {p}^{2} + {b}^{2} \\ {13}^{2} = {12}^{2} + {b}^{2} \\ 169 = 144 + {b}^{2} \\ 169 - 144 = {b}^{2} \\ 25 = {b}^{2} \\ b = \sqrt{25 } \\ b = 5 \: \: in[/tex]

Now let's find the area.

[tex]area = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 5 \times 12 \\ = \frac{60}{2} \\ = 30 {in}^{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Please Help Giving Brainliest!!!!! (05.06)Which net matches the solid figure shown below? A three-dimensional cube with a height of 8 centimeters, a length of 6 centimeters, and a width of 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 8 centimeters and length 6 centimeters. Attached to the middle rectangle above is a rectangle with a length of 6 centimeters and a width of 3 centimeters. Attached to the middle rectangle and underneath are 2 more rectangles with the same length. The widths of these rectangles are 8 centimeters and 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The lengths of the triangles are 8 centimeters, 6 centimeters, and 8 centimeters. Attached to the middle rectangle underneath are 3 more rectangles with the same length. The widths of these rectangles are 3 centimeters, 8 centimeters, and 8 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters and length 6 centimeters. Attached to the middle rectangle above is a rectangle with a width of 8 centimeters. Attached to the middle rectangle and underneath are 2 more rectangles with the same length with widths of 8 centimeters and 3 centimeters.
A net is shown with 3 rectangles attached side by side all with width 3 centimeters. The length of the first and third rectangle is 8 centimeters and the middle is 6 centimeters. Attached to the middle rectangle underneath are 3 more rectangles with the same length. The widths of these rectangles are 8 centimeters, 3 centimeters, and 8 centimeters.

Answers

Answer:'Which net matches the solid figure shown below? A rectangular prism with height of 9 centimeters, length of 7 centimeters, and a width of 2 centimeters. Zcm 2cm cm 7 cm 7 cm cm 2 cm'

Step-by-step explanation:

The area of a rectangular pool is 5451 m
m2.
If the length of the pool is 79 m, what is its width?
Width of the pool:
m

Answers

Its 69 bc i did the math for it

Answer:

w= 69 meters

Step-by-step explanation:

if u want to find the width u need to divide

area equals l times w

w equals area divided by l

l equals area divided by w

we need to find width

so w= 5451 divided by 79

w= 69

hope this helps

A hovercraft takes off from a platform. It’s height (in meters), x seconds is modeled by h(x)=-(x-11)(x+3). What is the height of the hovercraft at the time of the takeoff?

Answers

Answer:

The height of the hovercraft at the time of takeoff is  33  meters.

Step-by-step explanation:

Height of hovercraft  x  seconds after takeoff  =  h(x)  =  -(x - 11)(x + 3)

Height after takeoff is  =  h(0)  =  -(0 - 11)(0 + 3)  =  -(-11)(3)  =  33

So the correct answer is 33 meters. The height of the hover craft at the time of the takeoff is 33 metres.

Answer: 33  meters.

Please mark brainliest

Hope this helps

Will mark brainliest!
Solve!
9x +25+3x = 34 + 54
HELP!!!

Answers

Answer:

9x + 25 + 3x = 34 + 54

9x + 3x = 12x

34 + 54 = 88

12x + 25 = 88

      - 25    - 25

12x = 63

x = 5.25

Answer:

x = 21/4 = 5 1/4

Step-by-step explanation:

9x +25+3x = 34 + 54

Combine like terms

12x+25 = 88

Subtract 25 from each side

12x+25-25 = 88-25

12x =63

Divide by 12

12x/12 = 63/12

x = 21/4

You need at least 5000 points to earn a gift card from your bank. You currently have 2700 points.You deposit money in your savings account and earn an additional 400 points.

a. Write an equation and inequality that represents the number of points you need to earn a gift card.

b. Change the above equation or inequality to include the additional 400 points.

Answers

Answer:

A.) 5000p-2700p= 2300p   B.) 5000p-2700p-400p=1900p

Step-by-step explanation:

A. Is how many points you need after having the 2700. B. Is how many points you need after depositing the money. p=points


Caitlin was knitting scarves to give as gifts. If she uses 6 balls of yarns for three scarves, how many balls does she need for one scarf?

Answers

Answer:

2 balls

Step-by-step explanation:

6 balls/ 3 scarves

divide the top and bottom by 3

2 balls/ 1 scarf

Answer: 2 balls

Step-by-step explanation: If she uses 6 balls for 3 scarves, then that means she uses 2 balls per scarf. 6 divided by 3 is 2.

Could someone help please?!

Answers

The answer is the last option because the graph goes no greater than 75 and it also goes no greater than zero but it does hit zero and 75

If ABC is reflected across the y-axis, what are the coordinates of A? A (1-3)
B. (-1, -3)
C. (5,-3)
D. (-1,3)

Answers

Answer:

d. (-1, 3)

Step-by-step explanation:

Reflecting across y axis means the x coordinate will change.

Imagine a mirror image of the triangle on the other side of Y axis.

A's coordinates on the right are (1, 3)

So if we flip across Y the coordinates will now be (-1, 3)

3 stays the same because it is still in the same position vertically.

The correct option will be Option B: When ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

What is reflection?

Reflection is the transformation of the picture about an axis so that the distance of the reflected image from the axis is the same as the distance of the original image from the axis.

When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Given that the triangle ΔABC is reflected across the y-axis.

The coordinate of point A is (1,-3).

When point A of triangle ΔABC is reflected by the y-axis, then the coordinate of y will not change. The mirror image of the triangle will be on the other side of the y-axis.

As we know When a point of coordinate (x,y) is reflected by the y-axis then the coordinate of the reflected point will be of coordinate (-x,y).

Then the coordinate of the reflected point A will be (-1,-3).

Therefore when ABC is reflected about the y-axis, then the coordinate of A will be(-1,-3).

Learn more about reflection

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Order 4.1 x 10^-3 , 0.041 , 4100 , 4.1 x 10^5 , 41,000 and 1.4 x 10^-3 from least to greatest

Answers

Answer:

1.4x10^-3, 4.1 x 10^5, 41,000, 4.1 x 10^3, 4100, 0.041

Step-by-step explanation:

Answer:

1.4x10^-3, 4.1 x 10^5, 41,000, 4.1 x 10^3, 4100, 0.041

Step-by-step explanation:

If y=10,000, what is 0.2% of y

Answers

Answer:

20

Step-by-step explanation:

0.2%=0.2/100=0.002

0.002*10000=20

Hope this helps!

Answer: 20

Step-by-step explanation:

(10000 * 0.2) / 100

2000 / 100

= 20

Please solve the bottom 2 under the 2 that I've already done. 10 points!

Answers

Answer:

1.17

1.52

Step-by-step explanation:

you divide 3.51 by 3

you divide 9.12 by 6

which choices are equivalent to the quotient below? check all that apply

Answers

Answer:

[tex] \boxed{D. \: \sqrt{2} \: \: \: and \: \: \: C. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]

Step-by-step explanation:

[tex] = > \frac{ \sqrt{16} }{ \sqrt{8} } = \frac{ \sqrt{8\times 2} }{ \sqrt{8} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{8}} \times \sqrt{2} }{ \cancel{ \sqrt{8} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

[tex]C. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]

The equivalent quotient of the expression √16 / √8 are as follows:

√2√4 / √2How to find the quotient of an expression?

√16 / √8

√16 = 4

Therefore,

√16 / √8 = 4 / √8 = 4 / 2√2 = 2 / √2

2 / √2 × √2 / √2 = 2√2 / 2 = √2

√4 / √2 × √2 / √2 = √8 / 2 = 2√2 / 2 = √2

Therefore, the equivalent expression of the term √16 / √8 are as follows:

√2 √4 / √2

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If 32^x16^-2x=4*2^-5x find x

Answers

Answer:

x=0, 1

Step-by-step explanation:

Answer:

x>0.1

Step-by-step explanation:

What is the location of the point on the number line that is of the way from
A = 18 to B = 4?
O A. 16
O B. 14
O C. 15
O D. 13

Answers

Answer:

c i think

Step-by-step explanation:

not sure

Answer:

B. 14

Step-by-step explanation:

I believe this would be a reasonable answer and I am not so sure about it

what is m help pls !!!

Answers

Answer:

32 degrees.

Step-by-step explanation:

So every triangle =180 degrees.

Firstly, 14 + 45 = 59

Secondly, 180 - 59 = 121

so angle AEB = 121 degrees.

Using vertical angles theorum, angles AEB and CED are equal to each other

so CED = 121 degrees.

121 + 27 = 148

then 180 - 148 = 32

Angle D = 32 degrees

(might want to fact check this I am pretty tired

You pick a card at random from an ordinary deck of 52 cards. If the card is an ace, you get 9 points; if not, you lose 1 point. 2 lines connect and go up to the right and down to the right. The line that goes up to the right points to Ace, and the line that goes down to the right points to Not an ace. StartFraction 4 Over 52 EndFraction is above the lines, and StartFraction question mark Over 52 EndFraction is below the lines. Write the equation for the expected value. E(V) = 4 52 (a) + b 52 (c) a = b = c =

Answers

The equation of the expected value is [tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]

How to determine the equation of the expected value

In a standard deck of cards, there are:

Ace = 4

Cards = 52

So, the probability of selecting an ace is:

[tex]p = \frac{4}{52}[/tex]

Simplify

[tex]p = \frac{1}{13}[/tex]

The probability of not selecting an ace is calculated using the following complement rule

[tex]q = 1 - \frac{1}{13}[/tex]

Simplify

[tex]q =\frac{12}{13}[/tex]

The expected value is then calculated as:

[tex]E(x) = \sum x * P(x)[/tex]

This gives

[tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]

Hence, the equation of the expected value is [tex]E(x) = 9 * \frac{1}{13} - 1 * \frac{12}{13}[/tex]

Read more about expected values at:

https://brainly.com/question/15858152

Answer:

1) A= 9
B= 48
C= -1

2) C.

3) B.

4) 12

Step-by-step explanation:

lzzy had 12 guitar strings on monday. by friday, she had 3 what is the percent of change?

Answers

Answer:

The answer is 75%

Step-by-step explanation:

12-75%=3

What is 5x=25? Solve !!!!​

Answers

Answer:

5

Step-by-step explanation:

Think of it this way:

You are multiplying 5 by something to get 25.

You can divide 25 by 5, and get 5.

25/5= 5

−3/4×2/3+ −3/4×−5/6 pls answer

Answers

Answer:

-3/4✖️2/3+ -3/4✖️-5/6

Multiplying the terms

-6/12+15/24. Multiplying minus and minus sign will be plus

Taking LCM

-6✖️2/12✖️2+15/24

-12/24+15/24

3/24

1/8 is the answer

Step-by-step explanation:

I hope this will help you:)

A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle. Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.

Answers

Answer:

h = 13 ft

Step-by-step explanation:

The following information is missing:

The hypotenuse of that triangle is 13√2 ft.

The 45°- 45°- 90° triangle theorem states that the length of the hypotenuse is √2 times the length of the legs. This means that, in this case, the length of the legs are 13 ft. One of the legs is the height of the wall.

Answer:

C. 13 ft

Step-by-step explanation:

Explanation above

What is the sum of the 15th square number and the 4th cube number?

Answers

Answer:

289

Step-by-step explanation:

Simply find the fifteenth square number (225) and add it to the fourth cube number (64)

*You can find the cube by multiply 4 three times as we are looking at thr fourth cube number

The sum of square of number 15 and cube of number 4 is 289.

What is square?

Square is a mathematical operation in which a number multiply with itself 2 times.

The square of number 15 = (15)²=225

The cube of number 4= 4³=64

The sum of square of 15 and cube of 4 is,

=225+64

=289

To know more about Square on :

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