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3 years ago

12

Holly begins with 1 penny in her piggy bank. She adds 2 pennies on day 1, 4 pennies on day 2, and 8 pennies on day 3. She contin

ues this pattern for 30 days.
Which statement describes why this sequence is a function?

Select EACH correct answer.

a Each amount of pennies corresponds to a unique day in this sequence.
b The graph of this sequence would pass the horizontal line test.
c Each day corresponds to a unique amount of pennies in this sequence.
d The graph of this sequence would pass the vertical line test.

1 answer:

torisob [31]3 years ago

5 0

Answer:

The answer is c and b

Step-by-step explanation:

I took the test

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A book sold 41,600 copies in its first month of release. Suppose this represents 9.8% of the number of copies sold to date. How

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Answer:

480,247

Step-by-step explanation:

0.081 x = 38,900, so x (# sold to date) = 480,247 (rounded)

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4 years ago

One fifth increase over 400

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Answer:

480

Step-by-step explanation:

1/5 of 400 = 1/5 * 400 = 80

increase 400 by 80 = 480

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2 years ago

Slove for the variable<br> 2a-5=5a+23

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Answer:

$a = 9 \frac{1}{3}$

Step-by-step explanation:

$2a - 5 = 5a + 23 \\ 2a - 5a = 23 + 5 \\ - 3a = 28 \\ \frac{ - 3a}{ - 3} = \frac{28}{ - 3} \\ a = 9 \frac{1}{3}$

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3 years ago

Identify the polygon with vertices A(5,0), B(2,4), C(−2,1), and D(1,−3), and then find the perimeter and area of the polygon. HE

inn [45]

Answer:

Part 1) The polygon is a square

Part 2) The perimeter is equal to $20\ units$

Part 3) The area is equal to $25\ units^{2}$

Step-by-step explanation:

we have

$A(5,0), B(2,4), C(-2,1),D(1,-3)$

Plot the points

see the attached figure

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

$A(5,0),B(2,4)$

substitute in the formula

$d=\sqrt{(4-0)^{2}+(2-5)^{2}}$

$d=\sqrt{(4)^{2}+(-3)^{2}}$

$d=\sqrt{25}$

$AB=5\ units$

Find the distance BC

$B(2,4), C(-2,1)$

substitute in the formula

$d=\sqrt{(1-4)^{2}+(-2-2)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$BC=5\ units$

Find the distance CD

$C(-2,1),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-1)^{2}+(1+2)^{2}}$

$d=\sqrt{(-4)^{2}+(3)^{2}}$

$d=\sqrt{25}$

$CD=5\ units$

Find the distance AD

$A(5,0),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-0)^{2}+(1-5)^{2}}$

$d=\sqrt{(-3)^{2}+(-4)^{2}}$

$d=\sqrt{25}$

$AD=5\ units$

we have that

AB=BC=CD=AD

Find the distance BD (diagonal)

$B(2,4),D(1,-3)$

substitute in the formula

$d=\sqrt{(-3-4)^{2}+(1-2)^{2}}$

$d=\sqrt{(-7)^{2}+(-1)^{2}}$

$BD=\sqrt{50}\ units$

<em>Verify if the polygon is a square</em>

If the triangle BDA is a right triangle, then the polygon is a square

Applying the Pythagoras theorem

$BD^{2}=AD^{2}+AB^{2}$

substitute

$(\sqrt{50})^{2}=5^{2}+5^{2}$

$50=50$ -----> is true

so

The triangle BDA is a right triangle

therefore

The polygon is a square

<em>Find the Area of the polygon</em>

The area of a square is equal to

$A=b^{2}$

we have

$b=5\ units$

$A=5^{2}=25\ units^{2}$

<em>Find the perimeter of the polygon</em>

The perimeter of a square is equal to

$P=4b$

we have

$b=5\ units$

$P=4(5)=20\ units$

6 0

3 years ago

How many different five digit members can be formed from the digits 5, 6, 7, 8 and 9 if digits can be repeated? If digits cannot

Dafna11 [192]

Answer:

Solution given:

5,6,7,8,9,

When repeated:

it has

5 ways for each

different five digit members can be formed from the digits:5*5*5*5*5=<u>3125</u>

When not repeated:

it has

5 ways for 1st

4 ways for 2nd

3 ways for 3rd

2 ways for 4th

1 ways for 5th

different five digit members can be formed from the digits:5*4*3*2*1=<u>120</u>

6 0

3 years ago