Peter spent $285 on a $250 CD player with tax. What was the
percentage of tax?
%

Answer:

2.03

Step-by-step explanation:

2.033

When you round to the nearest hundredth you look at the thousandths place and see if it is 5 or above. If it's 5 or above you round and change the hundredth place. ( 2.04 )

In this case it is lower than 5

So, it would be 2.03

Hope this helps dude

The round off the number 2.033 to nearest hundredth is 2.03.

Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. When the rounded number is increased, then the given number is said to be rounded up, conversely, if the rounded number is dropped, then it is said to be rounded down.

We have to round off the number 2.033 to nearest hundredth.

When rounding to the nearest hundredth, check the thousandths place to see if it is 5 or higher.

If it's 5 or higher, you go around and change the hundredth place 2.04.

But here it is less than 5 which makes the round off 2.03.

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Answer:

D

Step-by-step explanation:

9514 1404 393

Answer:

   (12, 4)

Step-by-step explanation:

The point (12, 4) is the only one in the doubly-shaded area of the graph. Of the choices offered, it is the only one that is a solution.

__

I prefer to use a graphing calculator to draw the graph and plot the points. That is more interesting to me than evaluating the inequalities over and over.

Here, we find the first inequality is only satisfied by the first point. We can rewrite it so we're not messing with fractions.

  y ≥ -5/6x +2

  6y ≥ -5x +12 . . . . multiply by 6

  5x +6y ≥ 12 . . . . . add 5x

Now, to check the points:

  (12, 4) -- 5(12) +6(4) ≥ 12 . . . true

  (0, -2) -- 5(0) +6(-2) ≥ 12 . . . not true

  (6, -7) -- 5(6) +6(-7) ≥ 12 . . . not true

  (-12, 7) -- 5(-12) +6(7) ≥ 12 . . . not true

Just to make sure, we can use the first point in the second inequality:

  (12, 4) -- 4 ≤ 5(12) -1 . . . true

The point (12, 4) would be a solution to the two inequalities.

[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:

14

Step-by-step explanation:

When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.

Feel free to check the equations below:

84 divided by 6 = 14

84 divided by 14 = 6

14 times 6 = 84

84 ÷ 14 = 6

Answer:

k

Step-by-step explanation:

k

Answer:

Step-by-step explanation:

"function q has zeros of -3 and 8"

q(x) = a(x+3)(x-8)

"q passes through the y-axis at the point (0,12)"

a(0+3)(0-8) = 12

a = -½

q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12

q'(x) = -x+2.5

-x+2.5 = -1.5

x = 4

rate of change is -1.5 at the point (4,14).

Answer:

4 inches

Step-by-step explanation:

There are six people total (derek+5 friends)

2 feet = 24 inches

24 inches divided by the 6 people = 4 inches per person

Answer:

12 | 52 | 64  |

27 | 59 | 86  |

39 | 111 | 150 |

I attempted making a chart with the answers

Answer:

Equation to find radius = Diameter divided by 2

Area is 1319.585

Step-by-step explanation:

Diameter = 41 cm

Radius = 41÷2 = 20.5cm

Area = πr^2

Area = 3.14×(20.5)^2

Area = 3.14×420.25

Area = 1319.585cm^2

Answer:

Hey! Hope this helps!

Step-by-step explanation:

Have an awesome Friday <3

Answer:

B

Step-by-step explanation:

I took the test but all you need to do is find the intersecting point with your axis to get your possible answers.

Hope this helps <3

Answer:

[tex]f'(n) = n + 3[/tex]

Step-by-step explanation:

Given

[tex]f(n) = n - 3[/tex]

Required

The inverse

[tex]f(n) = n - 3[/tex]

Replace f(n) with y

[tex]y = n - 3[/tex]

Swap positions of y and n

[tex]n = y - 3[/tex]

Make y the subject

[tex]y = n + 3[/tex]

Replace y with f'(n)

[tex]f'(n) = n + 3[/tex]

Answer:

Perimeter: 60

Area: 116

Answer:

I think its 90°

Step-by-step explanation:

I dont know foe suee

Answer:

a = 98⁰

Step-by-step explanation:

According to the the triangle sum thereom, all angles in triangle add up to 180⁰.

m<a + m<b + m<c = 180⁰

m<a + 34⁰ + 48⁰ = 180⁰

m<a + 82⁰ = 180⁰

m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰

m<a = 98⁰

Hope this helps, thank you :) !!

140°+h=180°

h=180°-140°

h=40°

Hi there!

[tex]\large\boxed{\text{None.}}[/tex]

Using the discriminant formula, we can determine if this equation is ever true:

b² - 4ac

Plug in the a, b, and c values from the equation:

(4)² - 4(1)(5)

16 - 20 = -4 < 0

Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.

edmentum answer and yea you're welcome

It should be noted that the quadrilateral is a trapezoid.

A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.

A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.

The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.

A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.

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Answer:

7, 15

Step-by-step explanation:

hope it can help you

Step-by-step explanation:

14/2 =7 so

(x+7)^2 + [  ]

if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.

This should get you

f(x) = (x+7)^2 + 15

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:

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:

21:27 and 14:18

Step-by-step explanation:

We can solve this by using common factors

one of the common factors of 54 and 42 is 3

42/3=14

54/3=18

so one of the ratios is 14:18

another common factor is 2

42/2=21

54/2=27

so another ratio is 21:27

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.

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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:

can u tell of which shape these sides are ??

Answer:

The answer is 3

Step-by-step explanation:

0.7*3 = 2.1

Think of it this way

its basically 7 times what equals 21?

then you find out 7 timex 3 = 21

and then put the decimals

0.7 times 3 (0.7 + 0.7 + 0.7) = 2.1

Answer:

4 hours

Step-by-step explanation:

32/8=4

Answer:

4 Hours

Step-by-step explanation:

just divide 32 by 8

Answer:

The 1st one is categorical

The 2nd one is categorical

The third one is quantitive

The fourth one is quantitve

The fifth one is quantitve

Step-by-step explanation:

A quantitative observation is something that is measurable.It represent data

E.x( How many cookies you ate last night)

A categorical observation is something based on your 5 senses that puts you into a specific category. (IT Doesnt have any mathematical phrases in it. It represent groups of a specific topic

E.x( what is your favorite color)

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]