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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 relationship between the elapsed time t, in days, since the beginning of spring, and the number of locusts,
L(t), is modeled by the following function:
5.9
L(t) = 750.
(1)
Complete the following sentence about the rate of change in the locust population.
2
The population of locusts gains of its size every
3
days.

You Might Need: CalculatorOn The First Day Of Spring, An Entire Field Of Flowering Trees Blossoms. The

Answers

Answer 1

Answer:

5.9

Answer directly from Khan


Related Questions

Ex 1: Triangle RST is rotated 90 degrees counterclockwise about the origin, then reflected across the x-axis. Find the coordinates of the image.

Answers

Answer:

IIII..I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I.I..II..II.I.

Step-by-step explanation:

EAS1

1 squared + 1= 2 sqaured - 2
2 sqaured + 2 = 3 squared - 3
3 squared + 3= 4 squared - 4
a) make a conjecture about this pattern. write your conjecture in words
b) generalise your conjecture for this pattern
c) prove that your conjecture is true

Answers

Answer:

It would be the letter B :)

If the function y=xa-31 is a linear function, what is the value of a

Answers

A=y/x+31/x is the value of a

Answer:

Answer is A

Step-by-step explanation:

Find the value of x to the nearest tenth.

Answers

Step-by-step explanation:

p^2+b^2=h^2

or, 16+9=h^2

or, 25=h^2

or h=5

again, p^2 +b^2=h^2

or, 25+b^2=36

or, b^2=11

or. b=√11 therefore b=x=√11

PLEASE HELP I WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWER PLEASE

Answers

Answer:

[tex]a) x = k \times \frac{1}{y^2} \ , \ where \ k \ is \ a \ constant\\\\b) x = 3, \ when\ y\ =\ 10\\\\c) y = 10, \ when \ x = 3[/tex]

Step-by-step explanation:

a)

[tex]x \ \alpha \ \frac{1}{y^2}\\\\x = k \times \frac{1}{y^2}\\\\[/tex]                [tex][ \ where \ k \ is \ a \ constant \ ][/tex]

Find k.

Given x = 12, y = 5,

[tex]12 = k \times \frac{1}{5^2}\\\\k = 12 \times 25 = 300[/tex]

b)

Find x.

Given y = 10

We have k = 300

[tex]x = k \times \frac{1}{y^2}\\x = 300 \times \frac{1}{10^2} \\\\x= \frac{300}{100} = 3[/tex]

c)

Find y

Given x = 3

We have k = 300

[tex]x = k \times \frac{1}{y^2}\\\\3 = 300 \times \frac{1}{y^2}\\\\\frac{1}{y^2} = \frac{3}{300}\\\\\frac{1}{y^2} = \frac{1}{100}\\\\y^2 = 100\\\\y = \sqrt{100} = 10[/tex]

Make use of the given interpretation for the median to assign probabilities to the simple events and find P(A), P(B), and P(C).

Answers

Answer: Hello your question is incomplete below is the missing part of the question

The Bureau of the Census reports that the median family income for all families in the United States during the year 2003 was $43,318. That is, half of all American families had incomes  exceeding this amount, and half had incomes equal to or below this amount. Suppose that four  families are surveyed and that each one reveals whether its income exceeded $43,318 in 2003.

answer :

P(A) = 11 / 16

P(B)  = 3/8

and P(C) = 1/4

Step-by-step explanation:

Making use of the given interpretation for the median we can assign probabilities to simple events as

P(A) = | A | / | sample space |

where | A | = 11

sample space = 16

P(A) = 11 / 16

∴ P(B) = 6/16 = 3/8

and P(C) = 4/16 = 1/4

PLEASE HELP!! SMART PEOPLE IM BEGGING! hi can you please help me, I will mark u brainliest:)

Answers

Please mark Brainliest

The answer is 17. 72

Step by step

0.02x^2 = 6.28

x^2 = 6.28 / 0.02

x^2 = 314

x= square root of 314

x = 17. 72



Answer:

0.02x^2=6.28

0.02x^2/0.02 = 6.28/0.02

x^2 = 314

Exact form: x = [tex]\sqrt{314}, -\sqrt{314},[/tex]

Hope this helps!

A coffee distributor needs to mix a(n) Mexican Shade Grown coffee blend that normally sells for $8.10 per pound with a Tanzanian coffee blend that normally sells for $14.10 per pound to create 100 pounds of a coffee that can sell for $10.26 per pound. How many pounds of each kind of coffee should they mix?

Answers

Answer:

64 pounds of the $8.10 Mexican Shade Grown

36 pounds of the $14.10 Tanzanian

Step-by-step explanation:

8.1x + 14.1(100 - x) = 10.26(100)

Distribute

8.1x + 1410 - 14.1x = 1026

Combine like terms

1410 - 6x = 1026

Subtract 1410 from both sides

-6x = -384

Divide both sides by -6

x = 64 pounds of the $8.10

100 - x = 36 pounds of the $14.10

Jun 07, 9:22:26 AM
+
Write a sine function that has an
amplitude of 2, a midline of 3 and a period of 3/2.

Answers

Answer:

[tex]\displaystyle y = 2sin\:1\frac{1}{3}\pi{x} + 3[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{3}{8}} \hookrightarrow \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{1\frac{1}{2}} \hookrightarrow \frac{2}{1\frac{1}{3}\pi}\pi \\ Amplitude \hookrightarrow 2[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although the exercise told you to write the sine equation based on the speculations it gave you, if you plan on writing your equation as a function of cosine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 2cos\:1\frac{1}{3}\pi{x} + 3,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the cosine graph [photograph on the right] is shifted [tex]\displaystyle \frac{3}{8}\:unit[/tex]to the left, which means that in order to match the sine graph [photograph on the left], we need to shift the graph FORWARD [tex]\displaystyle \frac{3}{8}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{\frac{3}{8}} = \frac{\frac{\pi}{2}}{1\frac{1}{3}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 2cos\:(1\frac{1}{3}\pi{x} - \frac{\pi}{2}) + 3.[/tex]Now, with all that being said, in this case, sinse you ONLY have the exercise to wourk with, take a look at the above information next to [tex]\displaystyle Wavelength\:[Period].[/tex]It displays the formula on how to define each wavelength of the graph. You just need to remember that the B-term has [tex]\displaystyle \pi[/tex]in it as well, meaning both of them strike each other out, leaving you with just a fraction. Now, the amplitude is obvious to figure out because it is the A-term, so this is self-explanatory. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 3,[/tex]in which each crest is extended three units beyond the midline, hence, your amplitude. So, no matter what the vertical shift is, that will ALWAYS be the equation of the midline, and if viewed from a graph, no matter how far it shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

An agricultural researcher plants 25 plots with a new variety of corn. The average yield for these plots is 150 bushels per acre. Assume that the yield per acre for the new variety of corn follows a Normal distribution with unknown mean μ and that a 95% confidence interval for μ is found to be 150 ± 3.29. Which of the following options gives the correct notation for and value of the point estimate?
A) n=25
B) μ= 150
C) x=150
D) =150
E) P=150

Answers

Answer: C is the correct option.

Step-by-step explanation:

Confidence interval for population mean:

[tex]\overline{x}\pm E[/tex]

, where [tex]\overline{x}[/tex] = Sample mean

E = Margin of error

Given confidence interval : 150 ± 3.29

Here , [tex]\overline{x}=150, E=3.29[/tex]

Since the sample mean is the best estimate for the population mean.

Thus, the correct notation is [tex]\overline{x}=150[/tex]

i.e. C is the correct option.

Martha buys a gold necklace priced at $62 . If the sales tax is 10%, what will be the total cost including tax? Show your work

Answers

Answer:

$78.12

Step-by-step explanation:

10÷62×100%

=16.12

Therefore price of gold necklace ($62) + 10% tax ($16.12) will be equal to total cost which is $78.12

I think of a number; take away 3 and then multiply by 7 to get the number 42. What was the number I started with?

Answers

Your answer should be “9” because 6x7=42

Which number is not in scientific notation? I need To know ASAP!!!!

Answers

Answer:

The first one.

Step-by-step explanation:

The correct scientific notation for the first option would make it a decimal (1.1), so it is not in the correct scientific notation.

Which expression has the greater value ?

-8+3
-8x3

Answers

-8+3 i think lol
sorry if it’s wrong i’m not 100% sure
It is -8+3, because that would be -5, and the other one would be -24

Cory has received the following grades this term: 75, 87, 90, 88, 79. If he wishes to earn an 85 average, what must he score on his final test?

Answers

Answer:

A 91.

Step-by-step explanation:

[tex]\frac{75+87+90+88+79+x}{6}=85\\\\\frac{419+x}{6}=85\\\\(\frac{419+x}{6})6=85*6\\\\419 + x = 510\\\\419-419+x=510-419\\\\\boxed{x = 91}[/tex]

13. A dealer wants to make a profit of 30% after giving 20% discount on the marked price. What per cent above the cost price should he mark the price of the article?

need some help solving this pls

Answers

Answer:

the percent above the cost price is 10%

A.)49
B.)30
C.)7
D.)28

Answers

B. 30
explanation
7x-19=4x+2
Simplify
3x=21
x=7
plug x into either starting equation

School is out ladies and Gentlemen hope y’all have a great summer!

Answers

Hey there!

I hope you have a great one too :)

What’s the range of the function on the graph?

Answers

D All real numbers Equal or greater that 2

If v=-1, x=-2
and y= 3, find the value of:

3v + 2x

Answers

Answer:

-7

Step-by-step explanation:

3 v + 2 x

Where, v = -1 and x = -2

3 ( - 1) + 2 ( -2)

-3 - 4

-7

The maximum load that a cylindrical column with a circular cross section can hold varies directly as the fourth power of the diameter and inversely as the square of the height. A 9 meter column 2 meters in a diameter will support 64 metric tons. How many metric tons can be supported by a column 13 meters high and 5 meters in diameter? Round to the nearest whole metric ton

Answers

Answer:

2396

Step-by-step explanation:

Let the diameter = d

Let the height = h

Formula

Metric Tons = k * d^4 / h^2

Solution

Metric Tons = 64

d = 2

h = 9

k = ?

(You can't do the second part by not using a ratio unless you  put k in and solve for it)

64 = 2^4 k / 9^2

64 = 8 *k / 81

64 * 81 / 8 = k

5184 / 8 = k

k = 648

Solve for the second example

Metric Tons = d^4 * k / h^2

Metric Tons = ?

d = 5

h = 13

k = 648

Metric Tons = 5^4 * 648 / 13^2

Metric Tons = 625 * 648 / 169

Metric Tons = 2396 rounded.

Aaron has c cousins. Fiona has 5 more
cousins than Aaron has. How many
cousins does Fiona have?
A CX5
B C + 5
CC - 5
D
5

Answers

the answer is b c + 5

What is the probability that Omar will get to drive the car after the first roll?

Answers

Answer:

1/6

Step-by-step explanation:

For Omar to drive, he has to get a six when a die is rolled ;

The probability that Omar will get to drive his car is :

Required outcome = (6) = 1

Total possible outcomes = (1,2,3,4,5,6)

P(rolling a 6) = required outcome / Total possible outcomes

P(rolling a 6) = 1/6

Probability of Omar driving his car is 1/6

Help ASAP I will give you brainlist. I only need help with 5

Answers

Answer:

a) = 7/10

b)= 9/10

c)= 1  1/10

Step-by-step explanation:

a) green and a 2 = 1/2 + 1/5 = 0.7 = 7/10

b) red and an even number = 1/2 + 2/5 = 0.9 = 9/10

c) green and a prime number = 1/2 + 3/5 = 1.1 = 1  1/10

i am a number beetween 20 and 30 who is divisible by 2 4 and 7. I am an even number as well who am I?

Answers

Answer:

28

Step-by-step explanation:

28/2=14

28/4=7

28/7=4

28 is an even number

Step-by-step explanation:

28 is the answer

28 is a number between 20 and 30

and divisible by

28/2=14

28/4=7

28/7=4

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, , of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate using the mean of the sample. Using the value miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be confident that its estimate is within miles per month of

Answers

Answer:

The minimum sample size needed 64 monthly U.S. rental car mileages.

Step-by-step explanation:

Note: This question is not complete as all the important data are omitted. The complete question is therefore provided before answering the question as follows:

A consumer advocacy group is doing a large study on car rental practices. Among other things, the consumer group would like to estimate the mean monthly mileage, u, of cars rented in the U.S. over the past year. The consumer group plans to choose a random sample of monthly U.S. rental car mileages and then estimate u using the mean of the sample. Using the value 850 miles per month as the standard deviation of monthly U.S. rental car mileages from the past year, what is the minimum sample size needed in order for the consumer group to be 95% confident that its estimate is within 175 miles per month of u?

The explanation of the answer is now given as follows:

The minimum sample size needed can be calculated using the following sample size formula:

n = ((Z * S) / E)^2 ………………………… (1)

Where:

n = sample size or minimum sample size = ?

Z = Confidence interval at 95% = 1.645

S = Standard deviation = 850

E = Accepted magnitude of error = 175

Substituting all the relevant values into equation (1), we have:

n = ((1.645 * 850) / 175)^2 = (1,398.25 / 175)^2 = 7.99^2 = 63.8401, or 64.

Therefore, the minimum sample size needed 64 monthly U.S. rental car mileages.

double a number equals 18 help pls

Answers

Answer:

9 is the answer

Answer:

2n=18

Step-by-step explanation:

Double means multiply by 2. A number can be represented by n.

So the equation is

2n=18

BONUS:

2n=18

/2    /2

n=9

---

hope it helps

PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?

Answers

They are sim because there just are short bud I don’t know

The path earth follows around the sun is earth's ___

Answers

the moon orbits the earth? I need more consent and details.

A translação é o movimento que a Terra realiza em torno do Sol, sendo que ela demora 365 dias, 5 horas e 48 minutos para completá-lo. Esse movimento é o responsável direto pela existência das estações do ano. Como o eixo de inclinação do nosso planeta é de 23º27', há períodos em que os dias são maiores que as noites (solstícios de verão), períodos em que as noites são maiores que os dias (solstícios de inverno) e períodos em que eles possuem a mesma duração (equinócios de primavera e outono).

The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 90 such batteries has a mean lifetime of 38.9 hours. Based on this sample, find a 90% confidence interval for the true mean lifetime of all batteries of this brand.

Answers

Answer:

lower limit : 36.44

upper limit : 39.56

Step-by-step explanation:

Given :

s = 9

n = 90

x = 38.9

Alpha, α = 0.10

∴ [tex]$z_{\alpha/2}=z_{0.05} = 1.645$[/tex]

The confidence interval is :

[tex]$=x \pm\left(z_{\alpha /2} \times \frac{s}{\sqrt{n}}\right)$[/tex]

[tex]$=38.9 \pm\left(1.645 \times \frac{9}{\sqrt{90}}\right)$[/tex]

[tex]$=38.9 \pm 1.56$[/tex]

[tex]$=(36.44, 39.56)$[/tex]

Therefore,

lower limit : 36.44

upper limit : 39.56

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