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Answer: Every year, the number of plant species shrinks by a factor of 8/9

Step-by-step explanation:

The factor for the numebr of plant species that grows/shrinks, as represented in the exponential function is: 8/9.

An exponential function is represented by the equation, [tex]f(x) = ab^x[/tex], where:

Given the function that models the number of plant species, P(t) = 30,000,000⋅(8/9)t, the growth factor in the exponential function is, 8/9.

Therefore, number of species grows/shrinks by a factor of 8/9.

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Answer:

3

Step-by-step explanation:

.-.-.-.-.

Answer:

A. 8.5

Step-by-step explanation:

is equivalent to 85 because

8.5 is in decimal.

remove the point from the middle and it will be 85 over 10.

Answer:

A

Step-by-step explanation:

Answer:

2(3x - 1)(x - 1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

e2021

Answer:

The given f(z) is analytic function

i)  δU/δx   = eˣ (cos y) = δV/δy    

ii)  δU/δy   = eˣ (-sin y) = -  δV/δx  

Hence the CR - equations are satisfied

Step-by-step explanation:

Explanation:-

Analytic function:-

A point at which an analytic function ceases to posses a derivative is

called a singular point of the function.Thus the necessary and sufficient condition for a complex function f(Z) = U+i V is analytic in a region R are

δU/δx = δV/δy     and δU/δy = -δV/δx    ( C R equations)

Given f(Z) = eˣ(cos y+ i sin y)

Let          U = eˣ(cos y)   ....(i)

and

              V = eˣ(sin y) ....(ii)

Differentiating equation(i) partially with respective to 'x'

             δU/δx   = eˣ (cos y)

Differentiating partially equation(i) with respective to 'y'

             δU/δy    = eˣ (-sin y)

Differentiating equation(ii) partially with respective to 'x'

             δV/δx    = eˣ (sin y)

Differentiating equation(ii) partially with respective to 'y'

             δV/δy    = eˣ (cos y)

Now

          δU/δx   = eˣ (cos y) = δV/δy    

i)            δU/δx = δV/δy  

           δU/δy   = eˣ (-sin y) = -  δV/δx    

ii)         δU/δy = -  δV/δx    

Hence the CR - equations are satisfied

There fore the given f(z) is analytic function

Answer:

[tex]x=\frac{1}{4}h-\frac{1}{2} -3y[/tex]

Step-by-step explanation:

[tex]h = 4 ( x + 3y ) + 2[/tex]

[tex]h-2=4(x+3y)[/tex]

[tex]4(x+3y)=h-2[/tex]

[tex]x+3y=\frac{h-2}{4}[/tex]

[tex]x=\frac{h-2}{4}-3y[/tex]

Answer:

17

Step-by-step explanation:

Let the number of 2 point shots be t.

Let the number of 3 point shots be h.

Allison made 87 shots and scored 191 total points. This implies two things:

t + h = 87 ________(1)

2t + 3h = 191 ______(2)

Let us eliminate t by multiplying (1) by 2 and subtracting from (2):

=> 2t + 3h = 191

 -  2t + 2h = 174

               h  = 17

Therefore, she made 17 three point shots.

Answer:

The answer is 657.63

explanation

cylinder surface area = 897.63

rectangular prism surface area = 240

897.63 - 240 = 657.63

I have not done surface area in a while so It might be slighty off, sorry

Question:

Find the value of g(7) for the function below.

g(x)=7/8 x -1/2

A. 53/8

B. 49/8

C. 60/7

D. 45/8

Answer:

D. 45/8

Answer:

169.59

Step-by-step explanation:

Solution,

Radius(r)=3

Height (h)=6

Volume of cylinder= pi r^2 h

= 3.14*(3)^2*6

= 3.14*9*6

=169.56 units^3

Hope it helps

Good luck on your assignment

Answer:

proportional relationship is not represented by them

Step-by-step explanation:

Ratio a/b and c/d are said to be proportional if a/b = c/d.

_________________________________________________

ratio of yellow part and red part for specific shade of orange =

2 part yellow/ 3 parts red = 2/3

____________________________________________________

ratio of yellow part and red part used by Catie =

3 cups of  yellow/ 4 cups of   red = 3/4

______________________________________

we have two ratio 2/3 and 3/4

but 2/3 is not equal to 3/4

hence , proportional relationship is not represented by them.

Answer:

i cannot answer your question accuratley because you did not provide enough information but i can show you how to solve your problem

Step-by-step explanation:

if you are provided with the amount of cups they sold multiply that number by $0.50. divide the product by 5 and you will get your answer

hope this helps :)

Answer:

A on ed2020

Step-by-step explanation:

Answer:

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

Step-by-step explanation:

There are two simple rules to remember: When you multiply a negative number by a positive number then the product is always negative. When you multiply two negative numbers or two positive numbers then the product is always positive.

(-2/3) (5 2/4)  Negative

(4 5/9) (4/5) Positive

(-6 3/4) (-7 1/11) Positive

The solution is given below:-

(-2/3) (5²/₄)  Negative

(4⁵/₉) (4/5) Positive

(-6³/₄) (-7¹/₁₁) Positive

Multiplication is the process of determining the product of two or more numbers in mathematics. A product, or an expression that specifies factors to be multiplied, is what happens when you multiply two numbers in mathematics.

The product is always negative when a negative integer is multiplied by a positive number. The result is always positive whether you multiply two negative or positive numbers.

The multiplication will be done as:-

(-2/3) x (5²/₄) = ( -44 / 12 ) Negative

(4⁵/₉) x (4/5) = ( 164 / 45 ) Positive

(-6³/₄) x  (-7¹/₁₁) = ( 2106 / 44 ) Positive

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the difference of MA is theres only A

the difference is the order

yes AB can be written as BA

Answer:

Only Joe is correct

Step-by-step explanation:

We can infer this by looking at the ratio provided. The ration states that for every 2 men there are 7 women. It doesn't specify the total. So using this ration we get the answer that for every 1 man there are 3 1/2 women which is equal to Joe's answers.

Answer:

[tex]C[/tex]

Step-by-step explanation:

Jo is right. There are 3.5 times as many women as men.

[tex]2 \times 3.5 = 7[/tex]

Paul is right. 2 in 7 people are men.

[tex]2 : 7[/tex]

Answer:

Its d or option 4

Step-by-step explanation:

A 2-column table with 4 rows. Column 1 is labeled x with entries 2, 4, 6, 8. Column 2 is labeled y with entries negative 4, negative 12, negative 20, negative 28. Hope this helps :)

Answer:

D

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

1 +1=2

Answer:

2

Step-by-step explanation:

Answer:

Is 5 greater than 5 .01?

This is incorrect.

Step-by-step explanation:

This is false, that 1% makes 5 .01 greater than 5. Thats why 5.01 is greater than 5.

Answer:

5 is less than 5.01

Step-by-step explanation:

5.01 is greater than 5

Answer: The area between the bases is about 126.5 square centimeters

Step-by-step explanation:The diagonal of the base is 4√5 centimeters.

The area of a base is 40 square centimeters.

The area between the bases is about 126.5 square centimeters

Answer:

B, D, E

Step-by-step explanation:

Edg2020

Answer:

see below

Step-by-step explanation:

The total number of trees is

567+324+156+89+678 =1814

Percent fir = 567/1814 = .312568908=31.26 %

Percent pine = 324/1814 = .178610805=17.86%

Percent larch = 156/1814 =.085997795=8.60%

percent cedar = 89/1814 =.049062845=4.91%

Percent hemlock = 678/1814 = .373759647=37.38%

The total should be 100 %

31.26+17.86+8.60+4.91+37.38=100.01  ( rounding error because we rounded to the hundredths place)

Answer:

15A.)

1814 total trees

15B.)

Fir: 31.256890849%

Pine: 17.861080485%

Larch: 8.599779492%

Cedar: 4.906284454%

Hemlock: 37.375964718%

Step-by-step explanation:

15A.) For this first part, you would add all the trees together to get the total:

567+324+156+89+678 = ?

891+156+89+678 - Add 567 and 324 together.

1047+89+678 - Add 891 and 156 together.

1136+678 - Add 1136 and 678 together.

=1814 total trees

15B.) For this second part, you would divide each tree type (567, 324, 156, 89, 678) by the total trees (1814). To convert the decimal to a percent, you would move the decimal point to places to the right. Not sure how many decimal places you wanted for each percent, so I gave the full decimal for you to round as you please on your answer.

Fir: 567/1814 = 0.31256890849 = 31.256890849%

Pine: 324/1814 = 0.17861080485 = 17.861080485%

Larch: 156/1814 = 0.08599779492 = 8.599779492%

Cedar: 89/1814 = 0.04906284454 = 4.906284454%

Hemlock: 678/1814 = 0.37375964718 = 37.375964718%

Answer:

$4080

Step-by-step explanation:

We have the amount she will pay back, but first, we need to find the Interest accrued.

Simple Interest is given as:

[tex]I = \frac{P * R * T }{100}[/tex]

where P = principal

R = rate

T = time taken (in years)

Therefore, the interest on $3,000 at 9%  simple interest for 4 years is:

[tex]I = \frac{3000 * 9 * 4}{100}[/tex]

I = $1080

Therefore, the amount she will pay back is:

$3000 + $1080 = $4080

Answer: amplitude

Step-by-step explanation: The amplitude represents half the distance between the maximum of a sine or cosine graph.

The solution is Option B.

The amplitude represents half the distance between the maximum of a sine or cosine graph

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the distance between the maximum of a sine or cosine graph be A

Now , the maximum of sine graph is when θ = 90°

So , sin 90° = 1

The sine function ranges between -1 and 1, so the minimum is -1 and the maximum is 1

And , the maximum of cos graph is when θ = 360°

So , cos 360° = 1

Maximum value of cos θ is 1 when θ = 0˚, 360˚. Minimum value of cos θ is –1 when θ = 180 ˚.

Hence , amplitude represents half the distance between the maximum of a sine or cosine graph

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Answer:

y = (-1/6)x^2

Step-by-step explanation:

Original function and graph:  y = x^2

Reflection across the x-axis is y = -x^2

Vertical scaling by a factor of 1/6:    y = (-1/6)x^2

Answer:

x^2+7x+12

Step-by-step explanation:

(x+3) (x+4)

FOIL

first: x*x = x^2

outer: 4x

inner: 3x

last: 3*4 =12

Add them together

x^2 +4x+3x+12

x^2+7x+12

x^2 + 7x + 12

or A

Hope this helpsss

Answer:

2827 cubic centimetre

Step-by-step explanation:

The cup is cylindrical in shape and it is full to the top.

The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).

The volume of a cylinder is given as:

[tex]V = \pi r^2h[/tex]

where r = radius

h = height

The volume of the liquid in the cup is:

[tex]V = \pi * 15^2 * 4[/tex]

V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre

Answer:

Step-by-step explanation:

Given That

To cover a distance of 240km, a car has to increase the speed by 5km/hr to reach in time. If the time lost was 40 minutes during traffic jam, find the original speed of the car.

                                  .

increased speed of car = 5km/hr .....(speed 1st)

distance travelled = 240km

speed = distance travelled / time taken

= 240 / 40

= 6

thus,

speed = 6km/hr .....(speed 2nd)

.

therefore original speed

= speed 2nd - speed 1st

= 6-5

= 1

Answer:

n = 4

Step-by-step explanation:

To solve for n, you need to undo what is being done to the variable. Since n is being multiplied by 5, you must divide both sides of the equation by 5.

1. (5n)/5 = 20/5

2. n = 4

Hope this helps! (Please consider giving brainliest)

[tex]5n=20[/tex]

Divide 5 from both sides.

[tex]5n/5=20/5[/tex]

[tex]n[/tex] does not have a coefficient now.

[tex]n=4[/tex]

Answer:

Step-by-step explanation:

If sh starts reading at 3:25 and reads for 15 minutes, she is finished at 3:40. The hour hand is on the 3 and the minute hand is on the 8, so there is a difference of 25 minutes between the hour hand and the minute hand. Each 5-minute increment is 30 degrees (360 / 12) so 30 x 5 = 150 degrees. This is an obtuse angle. Not sure what kind of an answer you're looking for so I gave both the degree measure of the angle formed by the hour hand and the minute hand, and the classification of the angle.

Answer:

90 degrees, which is a right angle

Step-by-step explanation:

The time indicates when she starts reading is irrelevant. The only thing to notice is that she reeds for 15 minutes. Whenever you read for 15 minutes the angle that is formed by the hour and minute hands of the clock will always be the same, regardless of the starting time!

60 minutes comes down to 360 degrees.

1 minute = 60/60 and that comes down to 360/60 = 6 degrees.

15 minutes = 15 times 1 minute....

15 minutes comes down to 15* 6 = 90 degrees

90 degrees is a right angle