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.

Answer:

x= 22 (number of parent teacher conferences) y=5 (number of school related assemblies)

Step-by-step explanation:

This word problem creates the following system of equations for x = number of parent-teacher conferences and y = number of school related assemblies.

x+y = 27 means that the number of parent teacher conferences plus the number of school related assemblies equals a total of 27 paid events.

35.50x + 42y = 991 means that $35.50 multiplied by a certain number of parent teacher conferences, plus $42 multiplied by a certain number of school related assemblies equals his total earnings of $991.

This sets up the following system

x+y=27

35.50x+42y=991

To solve this, we first need to take the first equation and solve for y.

y=27-x

plug in to the second equation and solve for x.

35.50x+42(27-x)=991

35.50x-42x+1134=991

Collect like terms

-6.5x=-143

divide both sides by -6.5 to solve for x.

x=22

Back substitute into other original equation to solve for y.

22+y=27

y=5

The interpreter attended 22 parent-teacher conference and 5 school related assembly

To solve this problem, we would write out two set of linear equations.

The data given on this problem are

Let x represent the number of parent-teacher conference

let y represent the number of school related conference

From equation (i)

[tex]x+y = 27\\x = 27-y...equation(iii)\\[/tex]

Put equation(iii) into equation (ii)

[tex]35.50x+42y=991\\35.50(27-y)+42y=991\\958.50-35.50y+42y=991\\6.50y=991-958.50\\y=5[/tex]

Put y = 5 into equation 1

[tex]x+y=27\\y = 5\\x+5=27\\x=27-5\\x=22[/tex]

From the above calculations, he attended 22 parent-teacher conference and 5 school related assembly.

Learn more on linear equations here;

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Answer:

Sorry po just seen your email and I

Answer:

Sorry po just seen your email and I

Step-by-step explanation:

2wks = 24 days

If he spent 60days going 127.8 miles

He will spend 14 days going X miles

60/14 =127.8/X cross multiply

60X= 14×127.8

X=( 14×127.8)÷60

X= 29.82 miles

Answer:

2000

Step-by-step explanation:

1 dm =1000

2dm =?

2dm x 1000

1dm

2000

Answer:

1230

Step-by-step explanation:

[tex]\frac{\pi }{3}[/tex] x 49 x 24 = 1230 cm^3

Answer:

12.5

Step-by-step explanation:

Answer: 25% of 50 is 25/2 or 12½ as a fraction and 12.5 as a decimal.

Answer:

whats the question, tell me it and i'll help you

Step-by-step explanation:

Answer:

This doens't realy make sense dude

Explanation:

For each row, divide the color counts over the total. For example, we have 9 red in bag one out of 61 total. This leads to a relative frequency of 9/61 = 0.1475 which rounds to 0.148; so approximately 14.8% of the items in bag one are red. This represents the top left corner of the table.

As another example, we have 5 brown out of 60 total in bag ten. That leads to a relative frequency of 5/60 = 0.0833 = 0.083 (see the bottom right corner of the table).

Take note that for any given row, adding up the relative frequencies will yield the value of 1 (though there might be some slight rounding error along the way).

Answer:

Yes, it is a function

Step-by-step explanation:

Each x value in the domain has its own output, and it does not have more than 1

Answer:

84

Step-by-step explanation:

TPS + SPR = RPT and TPS = RPT - SPR

The measure of RPT and SPR are given so we just need to place them and do the calculation

TPS = 137 - 53

TPS = 84

Answer:

Please select all of the things below that were the main issues the Anti Federalists

had with the US Constitution.

Select 3 correct answer(s)

A-They felt that the states did nothing to protect peoples' rights

B-They felt that the state had too much power

C-Many people felt that the representatives of the convention in Philadelphia had

overstepped its authority and that the articles should have been amended

D-They were concerned in giving the national government more power

E-They felt that the Constitution did nothing to protect the peoples' rights

Please hurry I’m soo stressed!!!!!!!

Step-by-step explanation:

1 Which of these objects are made from magnetic materials?

a copper pipe

b plastic paper clip

c steel nail

d glass bottle

e iron bar

g nickel coins

frubber tyre

Answer:

32 and 37

Step-by-step explanation:

Because the difference between the values is 5.

Answer:

x=2 and XM=11

Step-by-step explanation:

because M is the midpoint of the line, you know that both XM and ZM are equal and you know an expression for the lengths of both of these.

set these expressions equal and solve:

4x+3=3x+5 so by subtracting the 3x from the right side, moving it over to the left and subtracting 3 from the left side to move it over to the right, you get:

x=2

then to find XM, plug in this value of x to get XM=11

4(2)+3=11

Answer:

false.

Step-by-step explanation:

Factors for 21: 1, 3, 7, and 21. Factors for 22: 1, 2, 11, and 22.

Answer:

B false

hello hope this helps

Answer:

y = 6x - 3

Step-by-step explanation:

Answer:

-8(10x-3) = -80x+24 = A

Step-by-step explanation:

yr welcome

Answer:

Step-by-step explanation:

L1 -x + 2y = -1

L2 5x - 10y = 6

-x + 2y = - 1 multiply by -1

x - 2y = 1 multiply by 5

5x - 10y = 5 is similar that 5x - 10y = 6

The system has no solution

The number of shelves would be 6.

The length of the board and the shelves are fractions. A fraction is made up of a numerator and a denominator. An example of a fraction is 1/8. 1 is the numerator and 8 is the denominator.

In order to determine the number of shelves Curtis cut, we would divide the length of the board by the length of each shelf.

Number of shelves = length of the board / length of the shelf

3/4 ÷ 1/8

3/4 x 8 = 6

To learn more about the division of fractions, please check: https://brainly.com/question/25779356

Answer:

1280

Step-by-step explanation:

look at the 6 in the number

is it 4 or less

or is it 5 or more

as the number is 6 ( more than 5)

then you are going to add 1 to the tens

so the final answer is 1280

I really hope this helps and have a great day

Answer:

The number of unique triangles that can be constructed from the given values is; Only one triangle

Step-by-step explanation:

We are given the 2 angles of a triangle as;  

∠1 = 50°  

∠2 = 80°  

Now, we know that sum of angles in a triangle is 180°. This means that if the third angle is denoted as ∠3, then we have;  

∠1 + ∠2 + ∠3 = 180°  

Thus;  

∠3 = 180 - (∠1 + ∠2)  

∠3 = 180 - (50 + 80)  

∠3 = 180 - 130  

∠3 = 50°  

Thus; ∠1 = ∠3 = 50°  

A triangle with two equal angles is called an isosceles triangle. Which means that it will also have 2 of its' sides to be equal.  

Thus, in conclusion, only one unique triangle can be drawn.

Answer: you would multiply and the other one is 1536

Step-by-step explanation:

Have nice night

Answer:

Should be 3 units away from the picture

Step-by-step explanation:

I hope this helps! ;)

The coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

Dilation of a figure, means the transformation of the figure. The factor by which the given figure dilated, called the scale factor of dilation.

The image of EFG under the dilation with scale factor and center of dilation has to be drawn.

The coordinates or the triangle are E(-2,2), F(-2,-2) and G(2,-2). The new points after the dilation are,

[tex]E'(-2\times\dfrac{3}{2},2\times\dfrac{3}{2})=E'(-3,3)\\F'(-2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=F'(-3,-3)\\G'(2\times\dfrac{3}{2},-2\times\dfrac{3}{2})=G'(3,-3)[/tex]

The dilated image of triangle EFG is attached below.

Thus, the coordinates of the image of EFG under the dilation with scale factor 3/2 and center of dilation (0, 0) are E(-3,3), F'(-3,-3) and G'(3,-3).

Learn more about the dilation of the figure here;

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#SPJ2

Answer:

2/3x + 4 = 2

or,3x+2+4=2

or,3x+6=2

or,3x=2-6

or,3x=-4

or,x=-4/3

x=-1.33

Answer:

[tex]\left \{ {{y=-2} \atop {x=3}} \right.[/tex]

Step-by-step explanation:

[tex]\left \{ {{-6x - y = -16} \atop {-6x - 5y = -8}} \right. <=> \left \{ {{4y= -8} \atop {-6x-5y =-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5y=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x-5*(-2)=-8}} \right. <=> \left \{ {{y=-2} \atop {-6x=-18}} \right. <=> \left \{ {{y=-2} \atop {x=3}} \right.[/tex]

The number that can be added to 17/4 to make 5 is 3/4

Given

Add to 17/4 to make 5

let

x + 17/4 = 5

x = 5 - 17/4

x = (20-17) / 4

x = 3/4

Learn more about fraction:

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Answer:

I don't know

Step-by-step explanation:

plus all of them = Answer

Answer:

Step-by-step explanation:

False    Line of symmetry is x = -1

False   The maximum of f(x) = 3  

we can find the maximum of f(x) by putting it in vertex form (y - 3) = - 1(x + 7)² which tells us that the vertex is at (-7, 3)

True     -7 < -1

Answer:

E= 0 Good luck answering the other questions :)

Step-by-step explanation: