Drink sales for an afternoon at the school carnival were recorded in the table below.
What is the experimental probability that the next drink is a small coffee? Enter your
answer as a simplified fraction.

Answer:

[tex]\sqrt{1}[/tex]

Step-by-step explanation:

Anything to the zeroth power becomes 1, and anything to the negative power can be turned into the root of it. For example, 1 to the -2 power = [tex]\sqrt{1\\}[/tex]

Hope this helps!!

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77.5/100=49/x

77.5x= 4900

x= 4900/77.5

x= 63.22 (two decimal places)

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Answer:

Vertex - (-1,-6)

Axis of Symmetry -    x = -1

Domain - all real numbers

Range -   y < -6

Step-by-step explanation:

Answer:

Hope this helps!

Step-by-step explanation:

f'(x)=0

Answer:

x+3=15

  -3   -3

x=12

Step-by-step explanation:

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{x + 3 = 15}[/tex]

[tex]\huge\text{SUBTRACT 3 to BOTH SIDES}[/tex]

[tex]\large\textsf{x + 3 - 3 = 15 - 3}[/tex]

[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 15 - 3 because it helps solve for x}[/tex]

[tex]\large\textsf{15 - 3 = x}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 12}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

12.7ft

Step-by-step explanation:

this involves the Pythagoras theorem: base²  x height²  = hypotenuse²

b²  x h²  = hyp²

6²  x h²  = 14²

36 x h²  = 196

h²  = 196 - 36

h²  = 160

h = square root of 160

h = 12.65 - to the nearest tenth

 = 12.7ft

Answer:

12.7

Step-by-step explanation:

got it right with that answer on edge

Answer:

C: 8

Step-by-step explanation:

8^3=512

if it was -8^3 it would equal -512

Answer:

x = 4 and y = -6

Step-by-step explanation:

Solve by elimination by multiplying the first equation by -2:

-8x - 6y = 4

8x + 3y = 14

Add them together and solve for y:

-3y = 18

y = -6

Plug in -6 as y into one of the equations and solve for x:

8x + 3y = 14

8x + 3(-6) = 14

8x - 18 = 14

8x = 32

x = 4

So, the solution is x = 4 and y = -6

Answer:

x = 4​

y = -6

Step-by-step explanation:

4x + 3y = -2

8x + 3y = 14​

Multiply the second equation by -1

4x + 3y = -2

-8x - 3y = -14

--------------------------

-4x       = -16

Divide by -4

-4x/-4 = -16/-4

x = 4​

4x+3y = -2

4*4 +3y = -2

16 +3y = -2

3y = -2-16

3y = -18

y = -6

Answer:

Sum of the first 41 terms = 6724

Step-by-step explanation:

[tex]a_{41} = a_1 + (n - 1 )d = 4 + (41 - 1) \times 8= 4 + 40 \times 8 = 324\\\\S_n = \frac{n}{2}(a_1 + a_n)\\\\s_{41} = \frac{41}{2} (4 + 324) = \frac{41}{2} \times 328 = 41 \times 164 = 6724[/tex]

The sum of the first 41 terms of the following series, to the nearest integer, is 6724.

A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.

Given:

An arithmetic sequence,

4, 12,20,...

The common difference d,

d = 20 - 12 = 8.

To find the sum of the first 41 terms:

We will find the 41st term.

Remember that,

aₙ= a₁ + (n-1)d

a₄₁ = 4 + (40)8

    = 324

The sum of the first 41 terms,

Sₙ = (41/2)(4 + 324) = 6724.

Therefore, the sum is 6724.

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Answer:

A statistical question is one that requires collection of DATA that vary.

The Last two questions are statistical questions.

Hope the helps!

Answer:

Both A and B

Step-by-step explanation:

They both pass vertical line test

Answer:

(1,6) (2,10) (3,14) etc.

Step-by-step explanation:

You can have infinite number of ordered pairs for this because all you have to do is plug in the x and solve for y. And then you ordered pair is like (x,y) so if you plug in 1 for x, you do y=4*1+2 and that equals 6. So for the x you used 1 and y equaled 6 so an ordered pair can be (1,6) and so on.

Algebra

The answer to this problem is to simply simplify it.

[tex] \frac{1}{2} n + 3 < 5[/tex]

Subtract three from both sides.

[tex] \frac{1}{2} n < 2[/tex]

Multiply both sides by two.

[tex]n < 4[/tex]

Meaning, n is anything below four.

Answer:

B and C are correct

Answer:

Third option is the correct answer

Step-by-step explanation:

Given end points are: [tex] (x_1, \:y_1) \:\&\: (x_2, \:y_2)[/tex]

[tex] \huge\purple {\therefore Midpoint =\bigg(\frac{x_1+x_2}{2},\: \frac{y_1+y_2}{2}\bigg)} [/tex]

Answer:

[tex]x^{\circ}+105^{\circ}=180^{\circ},\\x^{\circ}=z^{\circ},\\180^{\circ}-z^{\circ}=y^{\circ}[/tex]

Step-by-step explanation:

Statement 1:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 2:

True - These two angles are vertical angles (opposite to each other at intersection of two lines). All vertical angles are equal.

Statement 3:

False - These two angles are vertical and therefore are equal. Thus, they cannot have a difference of 105.

Statement 4:

False - Two of these angles form one side of a line which is equal to 180 degrees. Since the third angle is greater than zero, they cannot all add up to 180 degrees.

Statement 5:

True - These two angles are supplementary (add up to 180 degrees) because they form one side of a line.

Statement 6:

False - These two angles are supplementary (add up to 180 degrees) because they form one side of a line and therefore cannot be equal to 105.

Answer and Step-by-step explanation:

The answers are:

x + 105 = 180 (Supplementary angles = 180 degrees)

x = z (Vertical angles are congruent)

180 - z = y (Supplementary angles = 180 degrees)

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

you can find where the first derivative is 0 to find the critical points

g'(x) = ( x^4 -5x^2 +4)' = 4x³-10x

g'(x) =0, make y =0 to find find where g'(x) is 0

4x³-10x =0 , factor 2x

2x(2x²-5)= 0 , each factor must be 0

2x= 0, so x= 0

2x²-5 =0, so x = ±√5/2

we now have 3 critical points -√5/2, 0, and √5/2

make intervals (-∞, -√5/2), (-√5/2, 0) , (0, √5/2) and (√5/2, +∞)

pick a point to test on each interval: -2, -1, 1 and 2 for example, and

calculate g'(x) = 4x³-10x at those points

for x= -2 we have 4(-2)³-10(-2) = -12 , negative number, decrease

for x= -1 we have 4(-1)³-10(-1) =6, positive number, increase

for x= 1 we have 4(1)³-10(1) = -6, negative number, decrease

for x= 2 we have 4(2)³-10(2) = 12, positive number, increase

we went from a decrease to an increase on intervals (-∞, -√5/2), (-√5/2, 0) so x= - √5/2 ≈ -1.58 is a minimum

we went from a decrease to an increase on intervals (0, √5/2), (√5/2, +∞) so

x= √5/2 ≈ 1.58 is a minimum as well

Answer:

negative

Step-by-step explanation:

A negative times a negative is a positive

A positive times a positive is a positive

A negative times a positive is a negative

Answer:

the sign of the product is negative (-) the number is -9471

Step-by-step explanation:

when multiplying (product) 2 numbers:

if one number is negative and other is positive, answer is always a negative

if both numbers are negative, then answer is always positive

and finally if both numbers are positive, then the answer is positive.

Answer:

Step-by-step explanation:

Answer:

Trey's rectangular prism will require more material to construct.

Explanation:

Trey's rectangular prism's surface area is more than Matt's rectangular prism's surface area.

Matt's prism volume is lower than Trey's prism, therefore Matt’s prism required more material to construct.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,

The base of Trey’s prism is 4 cm by 7 cm and has a height of 12 cm.

Volume of Trey's prism = 4 × 7 × 12 = 336 cm³

The base of Matt’s prism is 6 cm by 10 cm and has a height of 3 cm.
Volume of Matt’s prism = 6 × 10 × 3 = 180 cm³

From the above calculation,  Matt’s prism required more material to construct.

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Answer:

i will say the first one cannot, the second one cannot and the third one can

Step-by-step explanation:

but i am not 100% sure sry

Is there any more info on this?

Step-by-step explanation:

.

Answer:

A)

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

Okay, here it goes:

Where there is a g you insert -2 and where there is an h you insert 5

(2(-2)+9(5)-5)-(6(-2)-4(5)+2)

If two numbers are side-by-side with no other sign between them, you multiply

(-4+45-5)-(6(-2)-4(5)+2)

(-4+45-5)-(-12-20+4)

There is a subtraction sign between these equations. That means you must distribute the negative sign to the equation on the right.

Remember:

-4+45-5+12+20-4

Now just add them together. I recommend going left to right.

-4+45=41

41-5=36

36+12=48

48+20=68

68-4=64

Answer:

Step-by-step explanation:

x+5+x+7x-5=180 degree (being the interior angles of a triangle)

9x=180

x=180/9

x=20 degree

Answer:

x° = 20°

Step-by-step explanation:

Sum of angles of triangles = 180°

Therefore,

(x + 5) + (7x - 5) + x = 180

x + 5 + 7x - 5 + x = 180

9x = 180

x = 20

∠M = (x + 5) = 20 + 5 = 25°

∠L = (7x - 5) = 140 - 5 = 135°

∠N = x = 20°

Answer:

Angle = 33

Step-by-step explanation:

Angles should add up to 180 and the angles shown are 90 and 57 and then add those to get 147 then subtract 147 by 180 to get 33 for the angle. Hope this helps!

Answer:

x = 33°

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Step-by-step explanation:

Step 1: Define

Identify and set up

x° + 90° + 57° = 180°

Step 2: Solve for x

Answer:

50m or 15m

Step-by-step explanation:

10m•5m=50m

or

10m+5m= 15m

go on a calculator and multiply 5.25 by 52

Answer:

5.25 × 52 = 273$ ...........

Answer:

x > 67

Step-by-step explanation:

x+3 >70

subtract from each side

x+3-3 > 70 -3

x > 67

Algebra

To solve this, simplify the algebra inequality.

Subtract three from both sides.

x>67

Meaning, x is bigger than 67.

Answer:

mary=10 jack=15

Step-by-step explanation:

After 4 years Mary (x+4), Jack's age (x+5) + 4.

sum of the ages after 4 years :(x+4) + (x+5) +4=33 

Simplifying the equation:

2x+13 = 33 ----->> 2x=20----->>>>x = 10 Mary's age

10 + 5 = 15 which is Jack's age.