A math teacher's homework grading policy states that a homework assignment turned in late will result in the
grade being reduced by a certain percentage each day that the assignment is late. The teacher creates the
table below to illustrate this policy.
Number of Days Late (1)
Homework Grade, g(t)
0
80
60
1
45
2
Based on the table, write an exponential function in the form y= abt that represents the situation.
y =

Answer:

The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Perpendicular lines:

When two lines are perpendicular, the multiplication of their slopes is -1.

Perpendicular to the line 4x-3y=18

First, we place this line into the format, to find the slope:

[tex]4x - 3y = 18[/tex]

[tex]3y = 4x - 18[/tex]

[tex]y = \frac{4x}{3} - 6[/tex]

This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:

[tex]\frac{4m}{3} = -1[/tex]

[tex]4m = -3[/tex]

[tex]m = -\frac{3}{4}[/tex]

So the desired line will have an equation in the following format:

[tex]y = -\frac{3x}{4} + b[/tex]

Passes through the point (8,-8)

We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So

[tex]y = -\frac{3x}{4} + b[/tex]

[tex]-8 = -\frac{3*8}{4} + b[/tex]

[tex]-8 = -6 + b[/tex]

[tex]b = -2[/tex]

So

[tex]y = -\frac{3x}{4} - 2[/tex]

Answer:

12 | 52 | 64  |

27 | 59 | 86  |

39 | 111 | 150 |

I attempted making a chart with the answers

Answer:

9yd

Step-by-step explanation:

Because you have to look at the sides.

Answer:

Elijah is 8.

Step-by-step explanation:

8 x 5 = 40 (Jackie is 40)

40 + 8 is 48!

Answer:

97.9% sure its 8

Step-by-step explanation:

Answer:

a) The sample proportion is of 0.6.

b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

c) A sample size of 145 is needed.

Step-by-step explanation:

(a) Find the sample proportion.

30 out of 50. So

[tex]\pi = \frac{30}{50} = 0.6[/tex]

The sample proportion is of 0.6.

(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

For this problem, we have that:

[tex]n = 50, \pi = 0.6[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]

The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).

(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

We need a sample size of n, and n is found when M = 0.08. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]

[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]

[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]

[tex]n = 144.1[/tex]

Rounding up

A sample size of 145 is needed.

Answer:

y=2

Step-by-step explanation:

x+2=5

x= 5-2

x= 3

2x+y=8

2×3+y=8

6+y=8

y=8-6

y=2

Answer:

y=2

Step-by-step explanation:

First solve x+2=5 to find x.

x+2=5

  -2  -2

x=3. Substitute x=3 into 2x+y=8.

(2 x 3) + y = 8

Now solve.

6 + y = 8

-6         -6

y=2.

Hope I helped x

Answer:

36

Step-by-step explanation:

The outcome could be any number 1 through 6.

Hope halps

Answer:

4.25

Step-by-step explanation:

5-3/4=4.25

Answer:

from B we get y = -2x + 2

part c: slope, m =-2 and b=2

Step-by-step explanation:

Answer:

I think it would be C

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

k

Answer:

C. -2x + 80

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Distributive Property

Algebra I

Step-by-step explanation:

Step 1: Define

8 - 2(3x - 36) + 4x

Step 2: Simplify

Answer:

33

Step-by-step explanation:

Add 165 and 80 to get 245. 80 times 3 = 240.

So 80 is around 1/3 of 240. In other words it is around 33%

Answer:

5

Step-by-step explanation:

Answer:

3rd choice

4th choice

1st choice

2nd choice

Answer:

d.   tan (35) =  [tex]\frac{x}{10}[/tex]

Step-by-step explanation:

You must memorize the definitions of all the trig functions.

Tan of an angle = opposite side/adjacent side

In your case, the opposite side of the 35° angle is x and the adjacent side of the 35° angle is 10

So, tan 35 = x/10

9514 1404 393

Answer:

  69.6°

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle X is ...

  ∠X = 180° -∠Y -∠Z

  ∠X = 180° -68.4° -42°

  ∠X = 69.6°

Answer:

The correct answer is 2x^6y^2

Step-by-step explanation:

I got it right. Hope this helps.

An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression (12x⁹y⁴)/(6x³y²) can be solved as,

(12x⁹y⁴)/(6x³y²)

= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾

= 2x⁶y²

Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².

Learn more about Expression:

https://brainly.com/question/13947055

#SPJ2

Answer:

the answer is 5

i'm confused, can you tell me the question?

Answer:

4 hours

Step-by-step explanation:

32/8=4

Answer:

4 Hours

Step-by-step explanation:

just divide 32 by 8

Answer:

2i + 10j

-0.4h + 0.4

8i +2hi - 6i = 2i + 2hi

Answer:

x = 5

Common denominator of 3/x+1 to 1/2

If the numerator is 3 times, then so is the denominator in a proportion.

3/1=x+1/2

x+1 must equal 6 for the proportion to be equal to 1/2.

6-1=5, so x is 5.

Answer: 792

Step-by-step explanation:

9*8= 72

72*11= 792

Length* Height* Depth= Area

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]3/4[/tex] [tex]to[/tex] [tex]the[/tex] [tex]second[/tex] [tex]power[/tex] [tex]is[/tex] [tex]9/16[/tex] [tex]or[/tex] [tex]0.5625[/tex]

[tex]- Yaoii[/tex]

Answer:

25%

Step-by-step explanation:

Answer: x=10, is the correct answer.

Step-by-step explanation:

Answer:

80?

Step-by-step explanation:

Answer:

80 white candles

Step-by-step explanation:

I use a way that makes it easy for me

2:5 means [tex]\frac{2}{5}[/tex]

so when you write [tex]\frac{2}{5} =[/tex][tex]\frac{32}{x}[/tex]

that means you do the cross multiplication method which makes the equation go that way:

[tex]2x=32*5[/tex]

so

[tex]2x=160\\x= 80[/tex]

Answer:

1,050

Step-by-step explanation:

Simple Interest = Principle×Rate×Time/100

=6,000×5×3.5/100

=1,050