The number of ducks, D, (in thousands) and geese, G, (in thousands) that migrate from 1980 to 2000 can be modeled by the equations:

D = -120 + 294.1t - 184.4t + 50.2t3, 1 < t < 21

G = -188 + 579.6t - 403.3t + 97.8t3, 1 < t < 21

Where t represents the year, with t = 1 corresponding to 1980.

a) Find a radical expression that models the total number, T, of birds that migrated from 1980 to 2000.

T = -68 + 873.7t - 218.9t + 148tt

T = -308 + 1021tt - 587.7t

T = -68 + 285.5t - 218.9t + 47.6tt

T = -308 + 873.7t - 587.7t + 148tt

The required triangle PQS and triangle QRS are similar triangles. Option D is correct.

Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.

According to the diagram,
It can be inferred that triangle PQS and triangle QRS are similar to each other. The term "similar" implies that these two triangles have the same shape but can be different in size. Specifically, the corresponding angles of these triangles are equal, and the corresponding sides are in proportion.

Consider triangle, PQS, and triangle QRS

Angle S is the common angle in both the triangles
And angle Q is similar to angle R

So both the triangle are similar by AA similarity postulate

Therefore, option D is correct.

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Answer:

The equation has three solutions:

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

x=1    

x = [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

||[tex]4^{x} - 3[/tex]|[tex]-2[/tex]| = 1

|[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = 1                                                |[tex]4^{x} - 3[/tex]|[tex]-2[/tex] = - 1

|[tex]4^{x} - 3[/tex]| = 1+2                                                 |[tex]4^{x} - 3[/tex]| = -1+2

|[tex]4^{x} - 3[/tex]|=3                                                       |[tex]4^{x} - 3[/tex]| = 1

[tex]4^{x} - 3[/tex] =3                 [tex]4^{x} - 3[/tex] = - 3                     [tex]4^{x} - 3[/tex] = 1                 [tex]4^{x} - 3[/tex] = - 1

x= [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]        x∉∅                                x=1                           [tex]x = \frac{1}{2}[/tex]

The union of these four solutions is: [tex]\frac{1}{2} , 1,[/tex] [tex]\frac{1}{2} + \frac{1}{2} log_{2} (3)[/tex]

I hope this is clearly and understandably written to you :)

Answer:

24-5:x2

Step-by-step explanation:

im not sure

mark brainliest if it helps

3.0 r is the answer

Step-by-step explanation: I help ;)

Answer:

8k + 5k + 25

Or

13k + 25

Step-by-step explanation:

Lana's total sales = 8k + 5(k+5)

Since the expressions are not given in the question;

The equivalent expression could be

= 8k + 5k + 25

Equivalent to

= 13k + 25

Step-by-step explanation:

1.623/100

=1.623×10^-2

or

=0.01623

Hope it helps

Answer:

Irrational numbers is correct.

The required square root of 5 is an irrational number.

Given that,
The square root of 5, has a decimal expansion that does not end or repeat. To which set of numbers does it belong is to be determined.

In mathematics, a rational number is a number that can be described as the result of a fraction of value or does not have face value.

An irrational number is a type of real number which cannot be represented as a simple fraction or the values that have face value are irrational numbers. Example: √2, √3, and π are all irrational.

Here,
√5 = 2.2360679775..
Which is an irrational number.

Thus, the required square root of 5 is an irrational number.

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Answer:fraction of the quilt is white = 1/6

Step-by-step explanation:

Let the total quilt be  = 1 ( since we are dealing with fraction)

The portion of quilt that is green  2/6

The portion of quilt that is yellow  3/6

The portion that is white   = Total quilt  −( portion of quilt that is green and yellow)

=1−( 2/6 +  3/6 )

=1  −5/6

=1/6

Answer:

the equation would be p-3$

Step-by-step explanation:

Given:

Mary spent 30% of her budget in groceries.

She spent 42$ on groceries.

To find:

The total amount of her budget.

Solution:

Let x be the total amount of the budget.

Then, the amount spent on groceries is 30% of x.

[tex]\dfrac{30}{100}x=0.3x[/tex]

She spent 42$ on groceries.

[tex]0.3x=42[/tex]

Divide both sides by 0.3.

[tex]x=\dfrac{42}{0.3}[/tex]

[tex]x=140[/tex]

Therefore, the total amount of the budget is 140$.

Answer:

$108

Step-by-step explanation:

The selling price being marked down by 20% means that $585 was reduced by 20%

Selling price = $585 - ( 20% x $585)

$585 - (0.2 x $585) = $468

Markup from cost = selling price - cost price

$468 - $360 = $108

Answer:

A. -2

Step-by-step explanation:

-25p - 2 = 48

First, add 2 to both sides

That gives you

-25p = 50

Then, divide both sides by -25. Then that leaves the answer.. p = -2

Answer:

a = 4

Step-by-step explanation:

a = 4

If a = 4, then both lines have the same slope and different y-intercepts. That makes both lines parallel. Since the lines never intersect, there is no solution.

Answer:

x can not equal zero, as it would cause division by zero.

Step-by-step explanation:

First, let's make one equation out of them and see what we get.  Because both of them have y on the left, we can say that the two right sides are equal, giving us:

4x - 9 = ax + 6

If we solve for a, we get:

ax + 6 = 4x - 9

ax = 4x - 15

a = 4 - 15 / x

With that arrangement we can see clearly that x can not be equal to zero, as it would give us division by zero.

Answer:

Step-by-step explanation:

Let's find the slope of the given line:

Rewrite this in the slope-intercept form: y = mx + b

The slope is 1/4

The perpendicular line has slope

Answer:

Substitute y and x

(2)2 + (1)3+7

then multiply 2 * 2

4+ (1)3+7

then multiply 1* 3

4+ 3+7

add those numbers

14 ang iyong sagot, tandaan kapag nakikita ang panaklong tulad ng nakikita mo dito nangangahulugang dumami

Answer:

-27

Step-by-step explanation:

b³=(-3)³

b³=(-3×-3×-3)

b³=-27

Answer:

No Possible Triangles

Step-by-step explanation:

Deltamath

Answer:

102

Step-by-step explanation:

sinA/a = sinB/b

sin x /57=sin 112/54

0.9786941

sin ^ -1 (0.786941)=78

180- 78=102

Answer:

121

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Opposite angles are equal in a parallelogram. Therefore 2 angles are 112°. Angles in a parallelogram or any quadrilateral are equal to 360°. To find the remaining sides: 360-(112×2) and divide your answer by 2.

Answer:

96

Step-by-step explanation:

1 pound is 16 ounces

6 pounds=x ounces

So we use the X to signal it's presence

1x16 is 16,

That means 16 ounces

6xP=Q

6x16 will give us our answer

Because it will tell us how many pounds there are since ounces is multiplied to get ounces.

6x16=96

P=16

Q=96

96 is our answer.

I hope this helps!!!!

If you need help, don't hesitate to ask!

I'm here until 2:30

May I please have brainliest?

Answer:

Monthly Payment $201.31

Total Interest Paid $1,289.26

Total Paid $6,039.26

Step-by-step explanation:

Answer:

-26

Step-by-step explanation:

-4(-2)^2 + 2(-2) - 6

-4(4) + -4 - 6

-16 -10

-26

The value of equation [tex]-4x^{2}+2x-6[/tex] is -26 when x = -2

"An equation is a statement of equality between two expressions consisting of variables and/or numbers."

Substitute the value x = -2 in the given equation

[tex]=-4(-2)^{2}+2(-2)-6 \\=-4(4)-4-6\\=-16-4-6\\=-16-10\\=-26[/tex]

Hence, the value of the given equation is -26

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Answer:

1

Step-by-step explanation:

=>. the value of 3° = 1

=> it is known to us that any number to the

power zero is equals to 1

hope it helps