Taylor cuts 1/5 sheet of construction paper. What fraction is equivalent to 1/5 ?1/6 3/15 15/45 15/3

Answers

Answer 1

Answer: 3/15 is equal to 1/5.

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Solve to three significant digits 123= 500e ^ -0.12x

Answers

$500{ e }^( -0.12x )=123\n \n { e }^{ -\frac { 12 }{ 100 } x }=\frac { 123 }{ 500 } \n \n { e }^{ -\frac { 3 }{ 25 } x }=\frac { 123 }{ 500 }$

$\n \n { \left( { e }^( x ) \right) }^{ -\frac { 3 }{ 25 } }=\frac { 123 }{ 500 } \n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ \frac { 1 }{ -\frac { 3 }{ 25 } } }$

$\n \n { e }^( x )={ \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } }\n \n \ln { \left( { \left( \frac { 123 }{ 500 } \right) }^{ -\frac { 25 }{ 3 } } \right) } =x$

$\n \n x=-\frac { 25 }{ 3 } \ln { \left( \frac { 123 }{ 500 } \right) }$

$\therefore \quad x\approx 11.7$

The table represents the temperature of a cup of coffee over time. Which model best represents the data set?

exponential, because there is a relatively consistent multiplicative rate of change

exponential, because there is a relatively consistent additive rate of change

linear, because there is a relatively consistent multiplicative rate of change

linear, because there is a relatively consistent additive rate of change

Answers

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

A. exponential, because there is a relatively consistent multiplicative rate of change

In division, a problem includes a divisor, a dividend and....

Answers

A quotient, which is the answer of the division.

quotient ,quotient ... i think

The distance from the center of a round table top to the edge of the table top is 4 ft. What is the area of the table top?

Answers

Center to the edge of a circle is the radius and Area of a circle = (pi)r^2 so A = (pi) 4^2 = 16 pi = about 50.27 square ft

Answer:

The correct answer is 50.24 sq. ft

Step-by-step explanation:

Please help , i dont understand this at all

Answers

It’s cccccccccccccccccccccc

What is 94+60+2x, I need the answer like right now.

Answers

106x is the answer because you simply add x to the end total.

Answer:

2x+154 or 2(x+77)

Step-by-step explanation:

This is an expression as there is no equal sign. So you can't solve for x

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