A police officer recorded the speeds of the first six cars whose drivers he ticketed for speeding today.


Car Speed

(miles per hour)

1 67

2 74

3 85

4 80

5 74

6 82


What is the mean of the cars' speeds?

Answer:

Step-by-step explanation:

168

Answer:

[tex]486[/tex] [tex]in^2[/tex]

Step-by-step explanation:

we know that

The surface area of the cube is equal to the area of its six square faces

so

[tex]SA=6b^2[/tex]

where

b is the length side of the cube

we have

[tex]b=9[/tex] [tex]in[/tex]

substitute

[tex]SA=6(9)^2=486 in^2[/tex]

The correct option is D the mean of set A is larger than the mean of set B.

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. The five-number summary is the minimum, first quartile, median, third quartile, and maximum. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.

Here in the the box and whisker plot data values are not marked and these based on five points so mean cannot be determined here because mean required marked values.

The mean formula is given as the average of all the observations. It is expressed as Mean = {Sum of Observation} ÷ {Total numbers of Observations}.

But here in box and whisker plot no actual values are known so we can't find the mean.

Hence mean cannot be determined here with that given data.

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Answer:

6x+8=16

or,6x=16-8

or,6x=8

or,x=4 by 3

Answer:

Because The Flowers Bennie drew are independent

Answer:

0.829

Step-by-step explanation:

Answer:

Step-by-step explanation:

The equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

Equivalent expressions are expressions that have equal values when evaluated

Start by evaluating each expression.

(4 + m) + 1

Remove the bracket

(4 + m) + 1 = 4 + m + 1

Evaluate

(4 + m) + 1 = m + 5

(m + 3) + 1

Remove the bracket

(m + 3) + 1 = m + 3 + 1

Evaluate

(m + 3) + 1 = m + 4

(2 + m) + 6

Remove the bracket

(2 + m) + 6 = 2 + m + 6

Evaluate

(2 + m) + 6 = m + 8

(1 + m) + 2

Remove the bracket

(1 + m) + 2 = 1 + m + 2

Evaluate

(1 + m) + 2 = m + 3

Hence, the equivalent expressions are: (4 + m) + 1 = m + 5, (m + 3) + 1 = m + 4, (2 + m) + 6 = 2 + m + 6 and (1 + m) + 2 = m + 3

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Answer:

aaa

Step-by-step explanation:

Answer:

they would be about an hour

Step-by-step explanation:

Answer:

768000

Step-by-step explanation:

From 1900 to 2020 = 120 means that it doubles 4 times ( once every 30 years)

=> 48000 * 2 ^ 4 = 768000

Answer:

dy/dx = x + ¼

Step-by-step explanation:

Using differentiation to find the given value,

[tex]y = \frac{1}{2} {x}^{2} + \frac{1}{4} x + \frac{1}{8} \\ \frac{dy}{dx} = 2(\frac{1}{2}) {x}^{2 - 1} + 1(\frac{1}{4} ) {x}^{1 - 1} + 0 \\ = x + \frac{1}{4} [/tex]

Answer: See below

Step-by-step explanation:

Radius of the semicircle = 46/2 = 23 m

[tex]\therefore$ Area enclosed by the figure $=4 \times$ Area of semicircles + Area of square \begin{aligned} \\&=4 \times 3.14 \times(23)^{2} \times \frac{1}{2}+(46)^{2} \\&=3322.12+2116 \end{aligned} \\\\\\Area enclosed $=5438.12 \mathrm{~m}^{2}$[/tex]

So, Val might have have subtracted 2116 from 3322.12 instead of adding since 3322.12 - 2116 = 1206.12

Your answer would be 1,409,240

you would mutpliy 0 and 9 first and keep mutpliying until you get your answer

Answer:

The answer is 1,409,240

Step-by-step explanation:

I asume you are doing this by hand so here are the steps:

1. set up the problem- whitch would look like this

 10066

x    140

Now you have to mutiply the 1s place, by all the number places of the top number

Sence you have a zero in the 1s place you can just put a x, whitch would look like:

 10066

x    140

         x

Now you do that for all the places

     2 2                   * Make sure you rase the number to the next place

 10066                  4*6 = 24        24+4= 28  4*0=0

x     140

 40284x

Now that you mutiplyed the 4 by everything and got the answer of 402840 (the x is just a zero) then you leave it aside and mutiply the 1s by everything whitch is much simpler.

   10066                   1*6= 6     1*0= 0    1*1 =1

x       140

10066xx           (now you put 2 X's)

You get the answer of 1006600 and you add it with 402840

whitch is 1,409,240 (and that is your answer)

Answer:

-1<x<43

Step-by-step explanation:

Explanation:

Step 1) Because this is already solved for y we can get the slope of the perpendicular line by taking the slope of the given line (-3) and "flipping" it and reversing the sign:

−3 becomes −−13→+13→13

Therefore the slope of the perpendicular line is 13

Step 2) Use the point slope for to find the perpendicular equation:

y−1=13(x−−1)

y−1=13(x+1)

y−1=13x+13

y−1+1=13x+13+1

y−0=13x+13+33

y=13x+43

y=(13)x+(43)

Explanation:

Answer:

The Answer is C

Step-by-step explanation:

Anna draws a angle that intercets at 1

When two straight lines or rays intersect at a shared endpoint, an angle is generated. The exact number of points at which the two rays will intersect is 1. The correct option is C.

When two straight lines or rays intersect at a shared endpoint, an angle is generated. An angle's vertex is the common point of contact. Angle is derived from the Latin word angulus, which means "corner."

As per the definition of an angle, the point at which the two of the given rays will intersect each other is exactly 1 point.

Hence, the exact number of points at which the two rays will intersect is 1.

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Answer:

True

Step-by-step explanation:

I just know off the internet. Hope this helps lol.

Answer:

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]

General Formulas and Concepts:
Calculus

Limits

Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]

Step 2: Evaluate

Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]

∴ we have found the limit to equal negative infinity.

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Answer: f(-4)=-4f

f(-3)=-3f

B.

Step-by-step explanation:

Answer:

To find this you do 5 x 0.75

0.75 represents the amount of girls that represent colored jeans

So the answer is 3.75

Step-by-step explanation:

Hope this helps!

Answer:

6

Step-by-step explanation:

On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.

Answer:

6

Step-by-step explanation:

Answer:

35 degrees is the third angle's value.

Step-by-step explanation:

the first video man and share with you search the Internet resources to help you find the best service providers to get your free and

Answer:

$1950.74

Step-by-step explanation:

step 1

x(1 + 0.06/12)^5=2000

step 2

x= 2000/(1 + 0.06/12)^5

= 1950.741337

Answer: 500

Step-by-step explanation:

formula for interest is

I= Principle x Rate x Time

2% as a decimal is 0.02

Answer:

~Shoto todoroki here~

I think this would be your solved equation, -3x+5 making your X intercepts at: (5/3, 0) and your Y intercepts at: (0, 5)

The equation has Unique Solution.

The solution to a linear equation is the point at which the lines that represent the intersection of two linear equations are defined. In other words, the solution set for the system of linear equations is the set of all possible values for the variables that satisfy the given linear equation.

There are three ways to solve the set of linear equations.

Unique Solution, No Solution and Infinitely Many Solutions.

Given y = 1/2x - 2

x   0    4

y   -2    0

y = -3x + 5

x   0    2

y   5    -1

the graph is attached

solving by substitution

y = 1/2x - 2

y = -3x + 5

both equations are equal for y

1/2x -2 = -3x + 5

1/2x + 3x = 5 + 2

7/2x = 7

x = 2

and at x =2 y = -1

equation intersect at (2, -1) and have unique solution.

Hence there is Unique Solution for equations.

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Answer:

A: 11.69 square feet.

Step-by-step explanation:

11.2 + 0.49

= 11.69

Answer: it is 205 I'm not sure if it's correct or not

Answer:

Solution 1: 1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Step-by-step explanation:

x^2-2=2x

x^2-2x-2=0

Use quadratic equation.

(-b+-[tex]\sqrt{b^2-4ac}[/tex])/2a

(2+-[tex]\sqrt{(-2)^2-4*1*-2}[/tex])/2

(2+-[tex]\sqrt{(4+8})[/tex])/2

(2+-[tex]\sqrt{12}[/tex])/2

Solution 1: (2+2[tex]\sqrt{3}[/tex])/2=1+1[tex]\sqrt{3}[/tex]

Solution 2: 1-[tex]1\sqrt{3}[/tex]

Let's first move everything, the constants and variables to one side

    [tex]x^2-2=2x[/tex] ⇒ [tex]x^2-2x-2=0[/tex]

The second form is in the general form of the quadratic equation:

 ⇒ [tex]ax^2+bx+c = 0[/tex]

To find the value of x, we can use the quadratic formula:

  ⇒ look at the diagram attached

  [tex]x = \frac{-b-\sqrt{b^2-4ac} }{2a} =\frac{2-\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2-\sqrt{4+8} }{2} =\frac{2-\sqrt{12} }{2} =\frac{2-2\sqrt{3}}{2} =1-\sqrt{3}[/tex]

  [tex]x = \frac{-b+\sqrt{b^2-4ac} }{2a} =\frac{2+\sqrt{(-2)^2-4(1)(-2)} }{2*1} =\frac{2+\sqrt{4+8} }{2} =\frac{2+\sqrt{12} }{2} =\frac{2+2\sqrt{3}}{2} =1+\sqrt{3}[/tex]  

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                  Answer

To answer the question, just answer in the order I solved it, because the question asks you to put the answer in ascending order which means from least to greatest.

Hope that helps!

Answer:

1686.67

Step-by-step explanation: