Determine if the following table represents a linear function. If so, what’s the rate of change?

Answer:

32

Step-by-step explanation:

13+3=16

16*2=32

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Answer:

c

Step-by-step explanation:

Answer:

32 trips.

Step-by-step explanation:

It's a proportion question.

7/84 = x/384

84x = 7*384

84x = 2688

Divide both sides by 84 to isolate x.

x = 2688/84

x = 32

So, Sarah will have to make 32 trips to cycle a total of 384 kilometers.

(I apologize if the answer is wrong!)

Answer:

No and No

Step-by-step explanation:

Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.

Answer:

Step-by-step explanation:

If we are dealing with whole real numbers.

Both answers are based on the same idea.

The product of two numbers is even only if at least one of the two multiplicands is even.

The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.

This comes from number theory where multiplication is the repeated addition of one number a certain number of times.

If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.

If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.

Answer:

yes

Step-by-step explanation:

One is a horizontal line, and the other is a vertical line.

Answer: Yes, if you graph the two lines, they have the negative recipricol of the other answer.

Step-by-step explanation:

Answer:

-4.62962962963

Step-by-step explanation:

mass=density×volume

mass=4.7(cm³)×19.3(g/cm³)=90.71 g

Answer:

18/3=6

Step-by-step explanation:

3 can be made out of 18 6 times

9514 1404 393

Answer:

  4

Step-by-step explanation:

The equation is in slope-intercept form:

  y = mx +b

where m is the slope (average rate of change).

In the given equation, m = 4.

The average rate of change is 4.

Answer: 28 <= h <= 32

Step-by-step explanation:

the actual height can be at most 2inches higher or lower than the average

Answer:

.66

Step-by-step explanation:

1/2 + 1/3 - 1/2 - 1/3 = .66

Answer:

Step-by-step explanation:

Total in account after 5 years:

Total in account after 5 years:

The difference in totals:

After 5 years Jack will have $0.66 more money in his account than David.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For David, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.

Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75

Hence, after 5 years, David will have $405.75 in his bank account.

For Jack, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.

Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.

Hence, after 5 years, Jack will have $406.41 in his bank account.

Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.

Learn more about compound interest here: brainly.com/question/25857212

#Tag #SPJ2

Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:

D. a vertical shift of 2 and a phase shift of pie/ 2

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

1.5x = 12

Divide each side by 1.5

1.5x/1.5 = 12/1.5

x =8

x = 8

Step-by-step explanation:

[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]

Answer:

(3×1)+(4/10) & two and fifty-one hundredths

Step-by-step explanation:

In order to write a decimal in expanded form you need to create a equation that equals the decimal you are trying to expand, and for writing decimal in word form you need to remember the names of place values.

1. 3.4

[tex]3.4=(3\times`1)+(\frac{4}{10} )[/tex]

2.2.51

two and fifty-one hundredths

Hope this helps.

Answer:

The factor '2 pi' is simply the constant of proportionality between C and R. So the area of a circle is proportional to R2 and pi is the constant of proportionality between the area and the radius of a circle.

Answer: The relationship between the area of a circle and the radius of the circle can be stated as follows: The area of a circle is proportional to the square of the radius.   Written in symbolic notation: A = R 2 RELATIONSHIP 5.1 Area = x (radius) squared OR A = R 2

Step-by-step explanation:

Answer:

0.00085

Hope this helps

Answer:

0.00085

Step-by-step explanation:

2/2348= 0.00085

Answer:

- 1x] = 0

[x] =-15

Answer:

25

Step-by-step explanation:

25 is the most frequent number found in the following set of numbers, so 25 would be the answer.

Answer:

Would x not be 70 degrees as it corresponds to the 70 on the bottom line?

Step-by-step explanation:

Usando la distribución binomial, se encuentra que el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Para cada componente, solo hay dos resultados posibles. O están funcionando o no estan. La probabilidad de que un compoente estea funcionando es independiente de cualquier otro componente, lo que significa que se utiliza la distribución binomial para resolver esta cuestión.

Distribuición binomial:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Los parámetros son:

En este problema:

Diseño de 2 componentes:

La probabilidad de funcionar es [tex]P(X \geq 1)[/tex], que es dada por:

[tex]P(X \geq 1) = 1 - P(X = 0)[/tex]

En que:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.9)^{0}.(0.1)^{2} = 0.01[/tex]

Entonces:

[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.01 = 0.99[/tex]

Diseño de 4 componentes:

La probabilidad de funcionar es [tex]P(X \geq 2)[/tex], que es dada por:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

En que:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{4,0}.(0.9)^{0}.(0.1)^{4} = 0.0001[/tex]

[tex]P(X = 1) = C_{4,1}.(0.9)^{1}.(0.1)^{3} = 0.0036[/tex]

Entonces:

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.0001 + 0.0036 = 0.0037[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.0037 = 0.9963[/tex]

[tex]0.9963 > 0.99[/tex], o sea, el diseño de 4 componentes tiene mayor probabilidad de funcionar.

Un problema similar es dado en https://brainly.com/question/25132113

Answer:

y = -3x + 4

Step-by-step explanation:

To find the slope, use rise over run with two points. The first point (0,4) to the second point (-2,-2) is 6 units down and 2 units to the right, so you can set up a fraction to solve for the slope:

-6/2 = -3

To find the y-intercept,find the point where the x-value is 0. That point is (0,4),so the y-intercept is 4.

mx represents the slope, so mx is -3x and b is the y-intercept, so that value is 4.

Answer:

y = -3x + 4

Step-by-step explanation:

m = the slope (rise/run)

b = y-intercept

we can see that the rise is 6 (based on the two points) and the run is 2 (based on the labeled points)

- that means that m = 6/2 or m = 3

y = 0  when x = 4, so the y-intercept is 4, or b = 4

put it together!

y = 3x +b

BUT WAIT!!

- the line is decreasing which means that your equation should be negative, so put a negative symbol before 3x.

   - why? the rise is decreasing!

final equation --------> y = -3x + 4

We are given the following equation:

[tex]a^2+17=42[/tex]

Subtract both sides by 17

[tex]a^2=25[/tex]

Take the positive/negative square root of both sides

[tex]a=\pm5[/tex]

This should be your answer. Let me know if you have any questions, thanks!

Answer:

b) 20, a) 14, c) 28, d)10

Step-by-step explanation:

b) 2a +3b ; a=7 and b=2

   2(7) + 3(2)

  14 +6

  20

a) ab

   (7)(2)

   14

c)2ab

  2(7)(2)

   14(2)

   28

d) (a-b)2

   2a-2b

   2(7)-2(2)

   14-4

   10

I was a bit confused at the question, but those were the answers that I got and the work that follow. Hope this helps! Good luck.

Answer:

$38 for 2 sweaters

Step-by-step explanation:

Every price for all other sweater options are divisible by 24, since it is the unit price (meaning 1 sweater = $24). 38 is not divisible by 24, but by 19. This means it does not follow the unit price. It would be a special sale.

Answer:

y = 0.20x

Step-by-step explanation: