Dividing integers
-2/15 divided by 11/30

Answer:

3

Step-by-step explanation:

p(x)= 2x+3

p(0)=p(x=0)= 2*0 +3 =3

Answer:

\(m=\frac{1}{4}\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-4, 4)

Point (4, 6)

Step 2: Find slope m

Answer:

median = 95

Step-by-step explanation:

the median is indicated by the line inside the box.

each interval on the number line is 5 units.

median = 75 + 4 units = 75 + 20 = 95

Answer:

224

Step-by-step explanation:

For the square 6*6 = 36

and for the triangles 8*6*2 = 96

96*2 for 2 triangles is 96*2 = 192

192+36 = 224

The formula for the square is length x width or height x base

The formula for EACH triangle is base x height x 2 or divided by 1/2

I multiplied 96 times 2 because there were 2 triangles

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

The short leg of the 30-60-90 triangle with a hypotenuse of 10 feet is 5 feet, and the medium leg is approximately 8.66 feet.

A 30-60-90 triangle is a special right triangle in which the angles measure 30 degrees, 60 degrees, and 90 degrees. The ratio of the sides in this type of triangle is always 1:√3:2, with the shortest side opposite the 30 degree angle.
In this case, the hypotenuse is given as 10 feet, which is the longest side of the triangle and opposite the 90 degree angle.

To find the length of the short leg opposite the 30 degree angle, we can use the ratio mentioned above and multiply the hypotenuse length by 1/2, giving us a length of 5 feet.
To find the length of the medium leg opposite the 60 degree angle, we can use the same ratio and multiply the hypotenuse length by √3/2, which gives us approximately 8.66 feet.

Hence, the short leg of the 30-60-90 triangle is 5 feet and the medium leg is approximately 8.66 feet, given a hypotenuse length of 10 feet.

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If we allow the number of edges between any two nodes to be more than two, we would need to use the adjacency matrix to accurately store that graph information.

The adjacency matrix is a matrix representation of a graph where the rows and columns represent the vertices and the values in the matrix represent the number of edges between two vertices.

In this case, we could have values greater than 1 in the matrix to represent multiple edges between two vertices.

On the other hand, the adjacency list data structure would not be able to accurately store this information, as it represents each vertex and its adjacent vertices in a linked list format.

It would be difficult to represent multiple edges between two vertices using this data structure.

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In order to maximize the profit \(50\) pints of chocolate concussion should produce.

" Linear programming is defined as it represents the extreme value of the given linear function with given subject to constraints."

According to the question,

\('x'\) represents the number of chocolate concussion

\('y'\) represents the number of Vanilla Brain  Freeze

\('z'\) represents the maximize cost

As per the given condition of linear programming,

Maximize Cost   \(z =5x + 7y\)

Subject to constraint

\(6x + 9y \leq 360\\\\8x + 5y \leq 400\\\\x\geq 0, y\geq 0\)

For

\(6x + 9y \leq 360\)

\(x= 0 \implies y=40\\\\y=0 \implies x=60\)

And

For

\(8x + 5y \leq 400\\\\x=0 \implies y=80\\\\y=0 \implies x= 50\)

Cost for each value of given linear programming we have,

\((x, y) = (0,40) \\\\\implies z = 5(0) + 7(40)\\\\ \implies z = $280\)

\((x, y) = (60,0) \\\\\implies z = 5(60) + 7(0)\\\\ \implies z = $300\)

\((x, y) = (0,80) \\\\\implies z = 5(0) + 7(80)\\\\ \implies z = $560\)

\((x, y) = (50,0) \\\\\implies z = 5(50) + 7(0)\\\\ \implies z = $250\)

To maximize the profit \(50\) pints of chocolate concussion.

Hence, Option (C) is the correct answer.

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Answer:

Option A

Step-by-step explanation:

We need to find two expressions that, when simplified, give the same results.

1) First, simplify the expression stated in the question. Multiply each of the terms in the parentheses by the number that is next to them. This would mean you have to multiply both 9x and -6 by \(\frac{2}{3}\). You also have to multiply \(\frac{1}{2}x\) and \(-\frac{1}{2}\) by 4. Then, simplify.

\(\frac{2}{3}(9x-6) + 4 (\frac{1}{2} x - \frac{1}{2})\\\frac{18}{3}x- \frac{12}{3} + \frac{4}{2}x -\frac{4}{2} \\6x - 4 + 2x - 2\)

2) Now, combine the like terms.

\(6x - 4 + 2x - 2\)

\(8x - 6\)

So, we need to find which of the expressions listed equal 8x - 6.

3) Let's try option A. Do the same as before. Multiply each of the terms in the parentheses by the number that is next to them. So, multiply 4x and -12 by \(\frac{3}{4}\). Also, multiply 30x and 18 by \(\frac{1}{6}\). Then, combine like terms and simplify.

\(\frac{3}{4} (4x-12) + \frac{1}{6}(30x + 18)\\\frac{12}{4}x-\frac{36}{4} + \frac{30}{6} x + \frac{18}{6} \\3x - 9 + 5x + 3 \\8x - 6\)

This also equals 8x - 6. Therefore, option A is the answer.

The monthly payment needed to amortize a typical $135,000 mortgage loan amortized over 30 years at an annual interest rate of 6.9% compounded monthly is $849.06.

To find the monthly payment:

The formula to calculate the monthly payment needed to amortize a mortgage loan is:

M = P [ i(1 + i)^n ] / [ (1 + i)^n – 1]

Where:
M = Monthly payment
P = Loan amount (in this case, $135,000)
i = Interest rate per month (6.9% / 12 = 0.575%)
n = Total number of payments (30 years x 12 months per year = 360)

Substituting the values into the formula, we get:

M = $135,000 [ 0.00575(1 + 0.00575)^360 ] / [ (1 + 0.00575)^360 – 1]
M = $849.06

Therefore, the monthly payment needed to amortize a typical $135,000 mortgage loan amortized over 30 years at an annual interest rate of 6.9% compounded monthly is $849.06.

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Answer:

T" = (-3,5)

Step-by-step explanation:

When you reflect across the x axis, y is the value that is changed. It become

(x, - y). In this case T' = (3,5)

Now T' is reflected across the y axis. Only the x value is altered. It becomes (-x,y). So T" becomes (-3,5)

Answer:

T = (-3,5)

Step-by-step explanation:

It’s like the opposite of 5 is -5

The same thing with this just in coordinates

A line is vertical, then all points lie on it have the same x-coordinates

If line L is a vertical line and passes through the point (a, b), then its equation is

Since the given line is a vertical line and passes through the point (-5, -3)

That means a = -5

Then its equation is

Using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.

What is congruent triangles?

If the three sides and the three angles of both angles are equal in any orientation, two triangles are said to be congruent.

The SAS formula states that if two sides and one angle of two triangle are the same then the triangles are congruent to each other.

Two lines AD, EC intersects each other at the point B . Therefore, ∠ABC = ∠DBE  .

The length of the sides AC = DE, BC = BE .

The triangles ΔABC, ΔBDE  are congruent to each other by the SAS formula.

The SSS formula states that two triangles are congurent to each other if the ratio of corresponding sides of two triangles are the same and vice-versa.

Use the SSS formula in the triangles ΔABC, ΔBDE and simplify to calculate the length of BD.

BD/200 = 300/300

BD/200 = 1

BD = 200  

Therefore, using SSS the length of the road from the intersection to the first turn can be found to be 200ft.

Add the lengths of AB, BD, DE, EB, BC, CA to calculate the total length of the tour.

200 + 200 + 300 + 350 + 350 + 300 = 1700

The total length of the tour is 1700ft.

Hence, using SAS, it can be shown that the two triangles formed are congruent. Then using SSS the length of the road from the intersection to the first turn can be found to be 200ft. Thus the total length of the tour is 1700ft.

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About 3 full cones of water are needed to be added to the cylinder to completely fill it.

The radius of the right circular cone is 3cm and the slant height is 5 cm.

The height of the cone can be found as,

H = √(5)²- (3)²

H = 4cm

The volume of the cone is given by,

V = πR²H/3

R is the radius and H is the height of the cone,

Putting values,

v = π x 5 x 5 x 4/3

v = 104.71 cm³

Now, the height h of cylinder is given to be 6 cm and the radius r of the cylinder is 4cm.

The volume of the cylinder is given as,

V = πr²h

V = π x 4 x 4 x 6

V = 301.59

Let us assume that we have to add n full cones of water to completely fill the cylinder, so, we can write,

nv = V

Putting values,

n104.71 = 301.59

n = 2.85

So, we have to add roughly three full cones of water to completely fill the cylinder.

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Answer:

\({ \boxed{ \bf{c}}} \: \: \frac{3.8}{4} = s\)

Step-by-step explanation:

\({ \tt{4 \: pies \: = \: 3.8 \: ounces}} \\ { \tt{1 \: pie \: = \: ( \frac{1}{4} \times 3.8) \: ounces}} \\ { \tt{ = 0.95 \: ounces}}\)

\({ \underline{ \sf{ \blue{christ \: † \: alone}}}}\)

Using the Binomial probability distribution,

the probability that sheer guesswork will yield exactly 18 correct answers is ²⁷C₁₈(0.2)¹⁸(0.8)⁹

We have given that,

total number of multiple choice questions= 27

each question has number of possible answer

= 5

but only one is correct .

we have to find out the probability that sheer guesswork will yield 18 correct answer.

P(C) = probability of answering any question correctly = (1 / 5) = 0.2

P(W) = probability of answering any question wrongly = (4/ 5) = 0.8

Using the Binomial probability distribution,

P(X= x) = ⁿCₓ(p)ˣ(q)⁽ⁿ⁻ˣ⁾

Probability of answering exactly 18 questions correctly = P(X=18) = ²⁷C₁₈(0.2)²⁸(0.8)⁹

Hence, the probability value is ²⁷C₁₈(0.2)²⁸(0.8)⁹

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Answer:

Hi, there the answer is Company A

Step-by-step explanation:

Answer:

x=15° and MNQ=32°

Step by step:

MNQ+QNP=90°

3x-13°+58=90°

so,3x+45°=90°

Then,3x=45° and x=15°

MNQ=3x-13°=3(15°)-13°

=45°-13°

=32°

Answer: x = 15 and MNQ = 32°

Step-by-step explanation:

\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

appoximately 235.3040586.

Step-by-step explanation:

4 √(384.5)3​ = 235.30 simplified.

The required simplified value of expression 4 √(384.5)3​ is 235.30.

Given that,
To evaluate 4 √(384.5)3​

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
= 4 √(384.5)3​
= 4 * 19.6 * 3
=235.30

Thus, the required simplified value of expression 4 √(384.5)3​ is 235.30.

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Answer:

42 cm

Step-by-step explanation:

Area of rectangle (shaded area):

length × breadth

length: 7 cm

breadth: 7 - 2(0.5) = 6 cm

7 × 6 = 42 cm

Answer:

42 cm is the correct answer of this one

Answer:

Its A

Step-By-Step Explanation:

Fallis has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

To find out if Ms. Fallis has enough tiles to cover the counter, we need to calculate how many tiles are required to cover an area of 2 square meters.

Since the tiles have a side length of 3 centimeters, we need to convert the area of the counter to square centimeters.

1 square meter = 10000 square centimeters (cm²)

So, 2 square meters = 20000 square centimeters (cm²)

Now, we need to calculate the area of each tile:

Side length of each tile = 3 centimeters (cm)

Area of each tile = \((side length)^2\) = \((3 cm)^2\) = 9 square centimeters (cm²)

To cover the counter, we need to divide the total area of the counter by the area of each tile:

Number of tiles required = (Total area of counter) / (Area of each tile)

= 20000 cm² / 9 cm²

= 2222.22

Since we cannot have a fraction of a tile, we need to round up to the nearest whole number of tiles. So, Ms. Fallis needs at least 2223 tiles to cover the counter.

Since she has 2000 square centimeters (cm²) tiles, she does not have enough tiles to cover the entire counter.

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Answer:

SA = 94 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 4

w = 5

h = 3

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 5(4) + 3(4) + 3(5) )

SA = 2 ( 20 + 12 + 15 )

SA = 2 ( 47 )

SA = 94 ft²

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a. The scale factor in terms of inches to inches is 1:1.

b. One inch on the blueprint represents 4 inches or 1 foot in the actual house.

c. The algebraic representation of the dilation is y = 4x.

a. The scale factor in terms of inches to inches is 1:1. This means that 1 inch on the blueprint represents 1 inch in the actual house.

b. Since 1/4 inch on the blueprint represents 1 foot, we can determine the number of inches in the actual house represented by 1 inch on the blueprint.

To find this, we can set up a proportion:

1/4 inch (blueprint) = 1 foot (actual house)

1 inch (blueprint) = x inches (actual house)

Cross-multiplying and solving for x, we get:

x = 4 inches (actual house)

Therefore, 1 inch on the blueprint represents 4 inches in the actual house, or equivalently, 1 foot in the actual house.

c. The algebraic representation of the dilation from the blueprint to the house can be expressed as:

y = 4x

Where y represents the measurements in the actual house and x represents the corresponding measurements on the blueprint.

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At least 10 people or guests could go to a party and the second caterer is $250 cheaper to hire.

In the question we can use the equation :

  Y = mx + b ,  which is the slope-intercept form of the equation of a straight line. Here, m is the slope of the line and b is the intercept, x and y represent the distance of the line from the x-axis and y-axis, respectively.

For caterer A, the cost per guest is $15. This is the m value. The b value is the additional fee for setting up the tables, $100.

Here, the equation will be  y = 15x + 100     -------------------------(1)

For Caterer B, the cost per guest is $20. The b value is the additional fee for setting up the tables $50.

For this the equation will be : Y = 20X + 50.  --------------------- (2)

To find the number of guests that will result in an equal cost, set the equations equal to one another. Solve for x.

                    15x + 100 = 20x + 50        ---------------------- (3)

solving the equation (3),

   15x - 20x = 50 - 100

⇒ -5x = - 50

⇒ x = 10

Putting x = 10 in equation (1),

   15 × 10 + $100 = $250

Therefore, the cost of 10 people or guest will attend the party and the second caterer is $250 cheaper then the first caterer.  

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Answer:

-1

Step-by-step explanation:

less than means it comes after

-3/4 - 1/4

-4/4

-1

A player would receive 120 points to run the table in a game of "super pool".

To "run the table" in super pool means to sink all 15 balls consecutively in a single turn. Since the balls are consecutively numbered, the player would receive the sum of the numbers on all the balls for a perfect run. The sum of the numbers from 1 to 15 is 120, so a player who successfully runs the table in super pool would receive 120 points. However, it is worth noting that running the table in super pool is an extremely difficult feat, and many professional players may never accomplish it in their careers.

In the game of "super pool", a player attempts to sink all 15 consecutively numbered balls. To find the total points a player would receive for running the table, we need to add up the numbers from 1 to 15. To do this, we can use the formula for the sum of an arithmetic series: Sum = (n * (n + 1)) / 2, where n is the last number in the series (15 in this case). Plugging in the values, we get: Sum = (15 * (15 + 1)) / 2 = (15 * 16) / 2 = 240 / 2 = 120. Therefore, a player would receive 120 points to run the table in a game of "super pool".

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The cubic polynomial with the given points is:

y = (1/4)*(x + 4)*(x - 2)*(x - 5)

Any polynomial of degree N with the zeros {a,b, c...} and a leading coefficient K can be written as:

y = k*(x - a)*(x - b)*...

Here we have the zeros: -4, 2, and 5, then we can write:

y = k*(x + 4)*(x - 2)*(x - 5)

And it also passes throuh the point (0, 10), then:

10 = k*(0 + 4)*(0 - 2)*(0 - 5)

10 = k*40

10/40 = k

1/4 = k

The polynomial is:

y = (1/4)*(x + 4)*(x - 2)*(x - 5)

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