A restaurant surveys customers with the following results: 8 pizzas, 12 hamburgers, 14 pastas, and 6 steaks. What is the experimental probability of pizza?

Answer:

a. to accuse a public official, before an appropriate tribunal. of misconduct in office

Answer:

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

Step-by-step explanation:

To find the slope of the two points (-9,-3) and (7, -7) w have to use the slope formula

[tex]slope=\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]             [tex]slope=\frac{(-7)- (-3)}{7 -(-9) }[/tex]      

[tex]slope=\frac{-4 }{16}=-\frac{1}{4}[/tex]  can also be written as a decimal  [tex]slope=-0.25[/tex]

we get - 1/4 because -4 divided by -4 is 1 and -4 divided by 16 is -4

Answer:

B. acute, isosceles

Step-by-step explanation:

The two small lines intersecting the two sides stand for congruency.

Two sides are congruent, so this is an isosceles triangle.

None of the angles here are greater or equal to 90 degrees, so it is an acute triangle.

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Answer:

B. Acute, isosceles

Step-by-step explanation:

Angles can be classified by both their sides and angles. There are 3 classification for each measurement, making 6 total classifications. This includes acute, right, and obtuse for angles and isosceles, scalene, and equilateral for sides.

Sides

The tic marks on 2 sides on the side show that they are congruent. Any triangle that has 2 congruent sides is classified as isosceles.

An additional fact is that the angles opposite of the congruent sides are also congruent. This information is not pertinent to this question, but might be useful in the future.

Angles

A triangle's classification for its angles is always based on the largest angle in the triangle. In this case, the largest angle is an acute angle. Remember that an acute angle is less than 90 degrees. This means that the triangle is acute.

Answer:

b

Step-by-step explanation:

bc solutions are the zeros or the x intercepts of the graph which would be (-3,0) and (3,0)

Answer:

  a)  f'(x) = 12x

  b)  -120

  c)  36

  d)  y = 36x -55

Step-by-step explanation:

The derivative is the limit of the average slope on an interval as the interval size approaches zero. The equation for a tangent line is conveniently written in point-slope form when the tangent point and the derivative there are known.

__

The derivative is ...

  [tex]\displaystyle f'(x)=\lim_{h\to 0}{\dfrac{f(x+h)-f(x)}{h}}=\lim_{h\to 0}\dfrac{(6(x+h)^2-1)-(6x^2-1)}{h}\\\\=\lim_{h\to 0}\dfrac{(6x^2+12xh+6h^2-1)-(6x^2-1)}{h}=\lim_{h\to 0}\dfrac{12xh+6h^2}{h}=\lim_{h\to 0}(12x+6h)\\\\\boxed{f'(x)=12x}[/tex]

__

  f'(-10) = 12(-10) = -120

__

  f'(3) = 12(3) = 36

__

The point of tangency is ...

  (3, f(3)) = (3, 6·3² -1) = (3, 53)

The slope there was found in part (c) to be 36. So, the point-slope equation for the tangent line can be written ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -53 = 36(x -3) . . . . equation of the tangent line at (3, 53)

This equation can be rearranged to slope-intercept form:

  y = 36x -55 . . . . . add 53 and simplify

Answer:

  an = 40 -7(n -1)

Step-by-step explanation:

The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:

  an = a1 +d(n -1)

__

The first term of the given sequence is ...

  a1 = 40

The common difference for this sequence is ...

  d = 33 -40 = -7

Using these values in the equation for the n-th term, we have ...

  an = 40 -7(n -1) . . . . . explicit formula for the n-th term

Answer:I think It may be B 4.2%

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

180-112=68

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Answer:

620. 0.25 x 620 = 155

The value of y will be,y=√(x²-12²).Concept of trigonometry is used in given problem.

The field of mathematics is concerned with the relationships between triangles' sides and angles, as well as the related functions of any angle

Apply phythogorous theorm in the triangle ABC;

AC²=AB²+BC²

16²=z²+x²

Apply Pythagoras theorm in triangle ABD

AB²=BD²+AD²

x²=y²+12²

y²=x²-12²

y=√(x²-12²)

Hence,the value of y will be,y=√(x²-12²).

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Answer:

-10.7

Step-by-step explanation:

tThe answer is -10.7. What you do is 3/5+7/10 then, you subtract 12 which gives your the answer

Answer:

3 + 2/3 = 9/3 + 2/3 = 11/3
11/3 * 2/3 = [tex]\frac{11}{3} * \frac{2}{3}[/tex] = [tex]\frac{22}{9}[/tex] = [tex]2\frac{2}{9}[/tex]

Self note:

Friday says 3 2/5 and Saturday is blank
Sorry I took so long

Step-by-step explanation:

Given:

The three points given below are collinear,

[tex](x_1,y_1) = (a,0)\\(x_2,y_2) = (0,b)\\(x_3,y_3) = (1,1)[/tex]

To prove:

[tex] \frac{1}{a} + \frac{1}{b} = 1[/tex]

Proof:

Collinear: given set of points lies on a straight line.

Now we are told that the given set of points are collinear hence they will not be able to form a triangle or the area enclosed by all the points will be equal to zero.

The formula of area of traingle in determinant form is

[tex]Area = \frac{1}{2} \begin{vmatrix} x_{1}& y_{1} & 1 \\ x_{2} & y_{2} & 1 \\ x_{3} & y_{3} & 1 \end{vmatrix}[/tex]

that can also be written as

[tex] \sf \small Area = \frac{1}{2}  [x_1 (y_2 - y_3) + x_3 (y_1 - y_2) + x_2 (y_3 - y_1)][/tex]

Since the points are collinear L.H.S will be zero,

[tex]\sf \small 0 = \frac{1}{2}  [x_1 (y_2 - y_3) + x_3 (y_1 - y_2) + x_2 (y_3 - y_1)][/tex]

Substituting all the given cordinates in above equation.

[tex]\sf \small 0 = \frac{1}{2}  [a (b - 1) + 1 (0 - b) + 0 (1 - 0)] [/tex]

[tex]\sf \small 0 \times 2 = ab - a - b \\ \sf \small 0 = ab - a - b \\ \sf \small a + b = ab \\ \sf \small \: dividing \: both \: sides \: by \: ab \\ \sf \frac{a}{ab} + \frac{b}{ab} = \frac{ab}{ab} \\ \sf \frac{\cancel a}{\cancel ab} + \frac{\cancel b}{a \cancel b} = \cancel \frac{ab}{ab} \\ \sf \frac{1}{a} + \frac{1}{b} = \frac{1}{1} [/tex]

[tex] \sf Hence \: proved,[/tex]

[tex] \Large {\frac{1}{a} + \frac{1}{b} = 1}[/tex]

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Use area of triangle formed by using those points is equal to zero

[tex] \tt Area\: of \:triangle =\frac{1}{2}[a(b-1)+0+1(0-b)][/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt0=ab-a-b[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt a+b=ab[/tex]

Divide both sides by ab

[tex] \tt \frac{a}{ab} + \frac{b}{ab} = 1[/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex] \tt\frac{1}{b} + \frac{1}{a} = 1[/tex]

Hence proved~

Answer:

$111222.02

Step-by-step explanation:

This year = Last year * (100%-9%)

This year = 122222 * 91% = 111222.02

Answer:

x=2,3

Step-by-step explanation:

[tex] {x}^{2} - 5x + 6 = 0 \\ {x}^{2} - 2x - 3x + 6 = 0 \\ x(x - 2) - 3(x - 2) = 0 \\ (x - 2)(x - 3) = 0 \\ either \: x = 2 \: \: \: \: \: or \: x = 3[/tex]

Answer:

666  2/3

Step-by-step explanation:

45 %  *  x  = 300

.45 x = 300

x = 300 / .45 = 666  2/3

Answer:

$2 shared among 4 is 50 cents each or $0.50 each.

Step-by-step explanation:

2/4 = 50

Answer: 77

Step-by-step explanation:

[tex]$$Find the range of the list:$$(41,43,52,25,96,19,72)$$The range of a list is given by:(largest element) - (smallest element) \\$(41,43,52,25,\bold{96},19,72)$ We see that the largest element is $96:$ $-(($ smallest element $))+96$\\$(41,43,52,25,96,\bold{19},72)$ We see that the smallest element is $19:$ $96-19$\\$$96-19=77$$Therefore, the range of the set is 77[/tex]

Answer:

9 people

Step-by-step explanation:

The amount spent on tickets

318.5 - 17 = 301.5

If 301.5 was for tickets alone, the number of tickets can buy

301.5/33.5 = 9

Now

our equation is

No of persons=x

====================================

[tex]\large \sf \underline{Problem:}[/tex]

Solve the system of equations by substitution

====================================.

[tex]\large \sf \underline{Answer:}[/tex]

x = - 5y + 4

====================================

[tex]\large \sf \underline{Explanation:}[/tex]

x + 5y = 42x + 10y = 8

2(- 5y + 4) + 10y = 8

substituted in the equation for x - 10y - 8 + 10y = 8

distributed

8 = 8

combined like terms 0 = 0(- 10y + 10y)

====================================

Answer:

20 cubic feet

Step-by-step explanation:

First divide the figure into 3 rectangular prisms like in the screen shot provided below.

Volume of the prism on the left:

l×w×h=v

1×2×3=6 cubic feet

Since the volume of the right prism and the left prism are the same, we can multiply the volume (6cubic feet) by 2. Therefore, the volume of both the prisms outlined in purple is 12 cubic feet.

Volume of the rectangular prism in the middle:

2×1×(7-3)

2×1×4=8 cubic feet

Now we add all the volumes together:

8+12=20 cubic feet.

Hope this helps! :)

The expression that represents the constant of variation, k, in this scenario is StartFraction z Over x y EndFraction.

When a quantity varies directly with one variable and inversely with another, it means that the quantity is directly proportional to one variable and inversely proportional to the other. In this case, x varies directly with y and inversely with z.

To represent the constant of variation, k, we need to find the expression that combines the variables x, y, and z in the correct way.

If x varies directly with y, we can represent this relationship as x = ky, where k is the constant of variation.

If x varies inversely with z, we can represent this relationship as x = k/z.

Combining these two expressions, we can write x = ky = k/z.

Simplifying this equation, we get xz = ky.

To isolate k, we divide both sides of the equation by xy, resulting in StartFraction x z Over y EndFraction = k.

Therefore, the expression StartFraction z Over x y EndFraction represents the constant of variation, k.

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Answer:

0.7 is the decimal equivalent to 70/100.

Step-by-step explanation:

You can just do the numerator (70) divided by the denominator (100): 70÷100 = 0.7

Answer: There are no solutions.

Step-by-step explanation:

1/4(8x - 4) = 2x + 1

2x - 1 = 2x + 1

-1 = 1

Answer:

3b-10=20

Step-by-step explanation:

3b-10=20

3b-10+10=20+10

3b=30

3b/3=30/3

b=10