Anyone know how to answer this mathematics question?

Answer:

[tex]Rate = 6[/tex]

[tex]Rate = 10[/tex]

[tex]Rate = 18[/tex]

[tex]Rate = 162[/tex]

Step-by-step explanation:

Given

See attachment for table

Solving (a): Rate of change between 2nd and 3rd point on A

The rate of change is calculated as:

[tex]Rate = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

In table A, the 2nd and 3rd point is:

[tex](x_1,y_1) =(1,7)[/tex]

[tex](x_2,y_2) =(2,13)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{13 - 7}{2 - 1}[/tex]

[tex]Rate = \frac{6}{1}[/tex]

[tex]Rate = 6[/tex]

Solving (b): Rate of change between 3rd and 4th point on A

In table A, the 3rd and 4th point is:

[tex](x_1,y_1) =(2,13)[/tex]

[tex](x_2,y_2) =(3,23)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{23 - 13}{3 - 2}[/tex]

[tex]Rate = \frac{10}{1}[/tex]

[tex]Rate = 10[/tex]

Solving (c): Rate of change between 2nd and 3rd point on B

In table B, the 2nd and 3rd point is:

[tex](x_1,y_1) =(2,11)[/tex]

[tex](x_2,y_2) =(3,29)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{29 - 11}{3 - 2}[/tex]

[tex]Rate = \frac{18}{1}[/tex]

[tex]Rate = 18[/tex]

Solving (d): Rate of change between 4th and 5th point on B

In table B, the 4th and 5th point is:

[tex](x_1,y_1) =(4,83)[/tex]

[tex](x_2,y_2) =(5,245)[/tex]

So, the average rate of change is:

[tex]Rate = \frac{245 - 83}{5 - 4}[/tex]

[tex]Rate = \frac{162}{1}[/tex]

[tex]Rate = 162[/tex]

Answer:

A

Step-by-step explanation:

A. 8(3+8x)

8 times 3 is 24. 8 times 8 is 64 making it 24+64x

Answer:

Step-by-step explanation:

[tex]a_n=a_1\cdot r^{n-1}\\\\a_{12}=30\cdot 4^{12-1}\\\\a_{12}=30\cdot 4^{11}=15\cdot2\cdot2^{22}=15\cdot2^{23}[/tex]

Answer:

360ft³

Step-by-step explanation:

To get the volume for a pyramid just multiply length, width, and height then divide by three.

Answer:

[tex] 360 \: {ft}^{3} [/tex]

Step-by-step explanation:

[tex]V_{pyramid} = \frac{lwh}{3} \\ \\ = \frac{12 \times 6 \times 15}{3} \\ \\ = 360 \: {ft}^{3} [/tex]

Answer:

Step-by-step explanation:

Question

Find the perimeter of a triangle with vertices A(2,5) B(2,-2) C(5,-2). Round your answer to the nearest tenth and show your work.​

perimeter of a triangle = AB+AC+BC

Using the distance formula

AB = sqrt(-2-5)²+(2-2)²

AB = sqrt(-7)²

AB =sqrt(49)

AB =7

BC = sqrt(-2+2)²+(2-5)²

BC = sqrt(0+3²)

BC =sqrt(9)

BC =3

AC= sqrt(-2-5)²+(2-5)²

AC= sqrt(-7)²+3²

AC =sqrt(49+9)

AC =sqrt58

Perimeter = 10+sqrt58

Answer:

$1,649.80

Step-by-step explanation:

Sydney will have earned $1293.35 in interest by her 60th birthday.

To solve this problem, we need to use the formula for continuously compounded interest:

A = P [tex]e^{rt}[/tex]

Where:

A is the final amount of money in the account (including principal and interest)

P is the initial principal (in this case, $400)

r is the interest rate (in this case, 3.7% per year)

t is the number of years the money is invested (in this case, 39 years)

e is the mathematical constant approximately equal to 2.718

Plugging in the values from the problem, we get:

A = $400[tex]e^{0.037 \times 39}[/tex]

Calculating this, we find that A = $400[tex]e^{1.443}[/tex] = $1693.35

Therefore, he will have earned $1693.35 - $400 = $1293.35 in interest by her 60th birthday.

To learn more about Compound interest click here:

brainly.com/question/25857212

#SPJ2

Answer:

4

Step-by-step explanation:

it's four imma just goo

idea 34 I did 56-22 0.0

Answer:

I think it is -60.71428571 percent.

Answer: [tex]91.7\ mm[/tex]

Step-by-step explanation:

Given

The size of the ant is enlarged by [tex]655\%[/tex]

The actual size of the ant is [tex]14\ mm[/tex]

Enlarged size is

[tex]\Rightarrow 14\times \dfrac{655}{100}\\\\\Rightarrow 91.7\ mm[/tex]

Answer:

[tex]5\frac{3}{4}[/tex]

Step-by-step explanation:

You need to set bot denominators equal so multiply the second fraction by two for both the top and bottom.

[tex]2\frac{1}{4} +3\frac{1}{2} \\ =2\frac{1}{4} +3\frac{2}{4}\\\\ =5\frac{3}{4}[/tex]

Answer:

they should buy three more for the 5th grade to match the 4th grade

Answer:

28.26

Step-by-step explanation:

A = area of a sector

π = 3.14

r = 9

θ = 40

A=πr²*θ/360=3.14*81*40/360=28.26

Answer:

B.

Step-by-step explanation:

{-3, -2, 0, 3}   - the set of y-values.

Answer:

171

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

Answer:

1). Option (d)

2). Options (a), (b) and (d)

Step-by-step explanation:

Question 1

a). [tex]3x^5-6x^3+9x-12x^{-1}[/tex]

   Any expression with negative exponent is not a polynomial.

b). [tex]4\sqrt{x}+5[/tex]

   Any expression having variable with square root is not a polynomial.

c). [tex]\frac{4x+5}{3x-1}[/tex]

   Any expression having variables in the form of a fraction is not a polynomial.

d). [tex]-\frac{3}{2}x^{12}-7x^5+\frac{2}{3}x-10[/tex]

   It's a polynomial.

e). [tex]-5x^{\frac{3}{2}}-7x^2+6[/tex]

   Expressions having variables with square root are not the polynomial.

Therefore, Option (d) is a polynomial.

Question 2.

P(x) = (2x + 1)(5x³ - 8x + 4)

      = 2x(5x³ - 8x + 4) + 1(5x³ - 8x + 4)

      = 10x⁴ - 16x² + 8x + 5x³ - 8x + 4

      = 10x⁴ - 5x³ - 16x²+ 4

a). Degree of polynomial = 4

   True

b). P(0) = 10(0) - 5(0) - 16(0) + 4

           = 4

    True

c). P(-1) = 10(-1)⁴ - 5(-1)³ - 16(-1)² + 4

           = 10 + 5 - 16 + 4

           = 3

    False

d). Coefficient of x₂ is -16.      

    True

e). Coefficient of x is -16

    False

Therefore, Options (a), (b) and (d) are correct.

Answer:i have no idea

Step-by-step explanation:

Does n e one get t?

Answer:

2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z

Step-by-step explanation:

Answer:

Hello! The answer is in this link.

Step-by-step explanation:

8518-06-04-10-15-instructional.mp4. I hope this helps! Have a great rest of your day!

Answer:

For question 4 you would have 1560000. For question 5 you would have 660000

Step-by-step explanation:

Answer:

A. 2x + 3y = -6

Step-by-step explanation:

[tex](-3,0) (0,-2)[/tex]

[tex]slope:\frac{-2-0}{0+3} =\frac{-2}{3}[/tex]

[tex]y-0=\frac{-2}{3} (x+3)[/tex]

[tex]3y=-2x-6[/tex]

[tex]3y+2x+6=0[/tex]

[tex]2x+3y=-6[/tex]

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hope it helps...

have a great day!!

Answer:

i this like true or false,if so its true

:)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

the number of plants can be determined by adding the frequencies together

2 + 5 + 6 + 8 + 3 + 1 = 25 plants

Answer:

The answer is 25.1 or just 25 which ever way they are asking for it

Step-by-step explanation:

Hope that helps

FYI you just need to use the Pythagorean theorem to solve this

A^2 + B^2 = C^2

Answer:

A: 0.103

Step-by-step explanation:

Answer:

0.103 liters of juice

Step-by-step explanation:

Subtraction

1.09-0.987=

0.103