SOLVE AND SHOW WORK PLSSSS!! Find the length of the missing sides. Do not round (leave in simplified radical form).

Answer:

900 is the correct awnser

Answer: 26 cards

Step-by-step explanation:

Suppose there are x cards initially

Min gave half to bill i.e. 0.5x

Bill gives one-third of those cards to Sam i.e. \(\frac{1}{3}\times 0.5x\)

Sam gave 2 cards back to min and kept 6 i.e. Sam gets 8 cards from Bill

\(\Rightarrow 8=\dfrac{1}{3}\times 0.5x\\\\\Rightarrow 0.5x=24\\\Rightarrow x=48\)

So, min has 0.5x+2 cards i.e.

\(\Rightarrow 0.5\times 48+2\\\Rightarrow 26\ \text{cards}\)

Answer:

You are left with $1.44

Step-by-step explanation:

Subtract the amount of money you payed to how much the cost actually was to get your answer.

Answer: The coordinates of the image of a figure after a rotation of 0.25 degrees about the x-axis can be found using the following formulas:

x' = x

y' = y * cos(θ) - z * sin(θ)

z' = y * sin(θ) + z * cos(θ)

where (x, y, z) are the original coordinates and (x', y', z') are the new coordinates. In this case, we only need to find the y' coordinate because the rotation is about the x-axis and the x coordinate will not change.

For each point, we can use the formula to find the y' coordinate:

A (2, 6) -> y' = 6 * cos(0.25) - 0 * sin(0.25) = 5.99911... ~ 6

B (0, 0) -> y' = 0 * cos(0.25) - 0 * sin(0.25) = 0

C (-5, 8) -> y' = 8 * cos(0.25) - 0 * sin(0.25) = 7.99823... ~ 8

D (-2, 10) -> y' = 10 * cos(0.25) - 0 * sin(0.25) = 9.99649... ~ 10

So, the new coordinates after rotating 0.25 degrees about the x-axis are:

A (2, 6) -> (2, 6)

B (0, 0) -> (0, 0)

C (-5, 8) -> (-5, 8)

D (-2, 10) -> (-2, 10)

The coordinates of the points have not changed after the rotation because the rotation angle is very small.

Step-by-step explanation:

We use root mean square (RMS) speed to calculate the average speed of particles in a gas because it takes into account the speed of all particles in a distribution, regardless of direction.

It is particularly useful in studying gases because gas particles move in random directions with varying speeds. The RMS speed is the square root of the average of the squared speeds of all the particles in a gas.

The RMS speed is important because it is related to other properties of gases, such as temperature and pressure. For example, as the temperature of a gas increases, the RMS speed of its particles also increases.

This relationship is described by the Maxwell-Boltzmann distribution, which relates the speeds of gas particles to the temperature of the gas.

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Answer:

m A = 63

m C = 27

Step-by-step explanation:

to find the angle of a use trigonometry by doing, cos-1(17/38) = 63

to find C, we know angles in a triangle add to 180. We know the right angle is 90 degrees so do 90 + 63 = 153

180 - 153 = 27

so C = 27 degrees

Answer:

You can find the answer in the graph below.

Step-by-step explanation:

3y - 2x = 3

x- int = (-1.5,0)

y-int = (0,1)

slope = 2/3x

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

y=5 and 3y - 2x = 3  intersection is on (6,5)

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

y=5 : y-int : (0,5)

The slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

The equation of the line is 3y-2x=3.

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The slope intercept form of the given equation is

3y=2x+3

y=2/3 x+1

Here, the slope of a line = 2/3 and the y-intercept of a line = (0, 1).

The graph of the line y=5, is attached below.

From the graph, the coordinate of the intersection is (6, 5).

Therefore, the slope of the given line is 2/3 and the y-intercept of the given line is (0, 1). The coordinate of the intersection of two lines is (6, 5).

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Answer:

Suppose $100 is invested in each of these three accounts. After one year:

Account A: $100(1.12) = $112

Account B: $100(1.11) = $111

Account C: $100(1 + (.1075/2))^2 = $110.04

Account A has the most money after one year, so the amount should be invested in account A.

The measurement which is closest to the area of the shaded region of the figure in square centimeters =  24.24 cm²

The correct answer is an option (C)

Here, the diameter of the circle is 8 cm

So, the radius of the circle would be,

r = d/2

r = 8/2

r = 4 cm

Using the formula of area of circle, the area of the described circle would be,

A₁ = π × r²

A₁ = π × 4²

A₁ = 16 × π

A₁ = 50.27 cm²

Also, the square has a measure of 5 cm

Using the formula for the area of square,

A₂ = side²

A₂ = 5²

A₂ = 25 cm²

The area of the shaded region would be,

A = A₁ - A₂

A = 50.27 - 25

A = 25.27  cm²

Therefore, the correct answer is an option (C)

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The complete question is:

The figure shown was created by placing the vertices of a square on thecircle. Use the ruler provided to measure the dimensions of the square and the circle to the nearest centimeter.Which measurement is closest to the area of the shaded region of the figure in square centimeters?

(The diameter of the circle is approximately 8 cm and the square has a measure of approx. 5 cm.)

A. 17.6cm squared

B. 265.0cm squared

C. 24.24 cm squared

D. 127.5cm squared

Answer:

Width is 5

Step-by-step explanation:

Set up an equation

12x=60

divided both sides by 12

answer is 5

The width is 5

to check your answer multiply it by the length

12*5=60

Check Check

Answer:

60÷12=5 so the width is 5 if the length is 12.

Answer:

the answer is C

Step-by-step explanation:

it it can be calculated by using simple quadratic formula

the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

What is Equivalence relation?

An equivalence relation is a relation between elements of a set that satisfies three properties: reflexivity, symmetry, and transitivity.

a) To prove that R is an equivalence relation, we need to show that it satisfies three properties: reflexivity, symmetry, and transitivity.

Reflexivity: For any integer m, we need to show that m R m, i.e., 4 |\((m^2 - m^2).\) Since the difference of squares is 0, which is divisible by 4, the relation is reflexive.

Symmetry: For any integers m and n, if m R n, then we need to show that n R m. If 4 | \((m^2 - n^2)\), then \((m^2 - n^2)\) is divisible by 4. Taking the negative of both sides, we have\((-n^2 + m^2) = (m^2 - n^2)\), which is also divisible by 4. Therefore, n R m, and the relation is symmetric.

Transitivity: For any integers m, n, and p, if m R n and n R p, then we need to show that m R p. Suppose 4 |\((m^2 - n^2)\)and 4 \(| (n^2 - p^2)\). This means \((m^2 - n^2) and (n^2 - p^2)\)are both divisible by 4. Adding these two divisibility statements, we get (m^2 - p^2) is also divisible by 4, which implies m R p. Hence, the relation is transitive.

Since the relation R satisfies reflexivity, symmetry, and transitivity, it is an equivalence relation.

b) The distinct equivalence classes of the relation R can be described by the set of all integers that are congruent modulo 4. In other words, each equivalence class contains integers that have the same remainder when divided by 4.

The distinct equivalence classes can be denoted as follows:

[0] = {..., -8, -4, 0, 4, 8, ...}

[1] = {..., -7, -3, 1, 5, 9, ...}

[2] = {..., -6, -2, 2, 6, 10, ...}

[3] = {..., -5, -1, 3, 7, 11, ...}

Each equivalence class consists of integers that satisfy the condition 4 | (m^2 - n^2), and within each class, any two integers have their squares yielding the same remainder when divided by 4.

c) The distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ. A partition of a set is a collection of non-empty, pairwise disjoint subsets whose union is the entire set.

In this case, the equivalence classes [0], [1], [2], and [3] are non-empty and pairwise disjoint because no integer can simultaneously belong to two different equivalence classes. Also, the union of all the equivalence classes covers the entire set of integers, as each integer belongs to exactly one of the equivalence classes.

Therefore, the distinct equivalence classes [0], [1], [2], and [3] form a partition of ℤ.

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Answer:

  y = 4 is line parallel to x-axis. In that line, each point's y-co-ordinate is 4.

Answer:

x = 3 n, y = -2 n, n element Z

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

5 is the factor form of 5ac + 10be-25fg so it will be

5 ( ac + 2be -5fg )

Answer:

$1500

Step-by-step explanation:

You multiply the $50 an hour by the 20 hours and you end up with $1000, then you add the flat rate of $500 and you get $1500.

Answer:

$1.89

Step-by-step explanation:

1 quart = 2 pints

1 gallon = 4 quarts

1 gallon = 8 pints

2 gallons = 16 pints

Divide the cost of the fabric softener by 16 to find the price per pint.

$30.24/16 = $1.89

The fabric softener costs $1.89 per pint.

Answer:

$1.89

Step-by-step explanation:

one gallon= 8 pints

two gallons= 16 pints

Therefore, we divide 16 from $30.24

30.24/16= $1.89

Hopefully this answer helps!

The numbers π, √8 , and 3.5 in the correct order from greatest to least is√8, π, 3.5 . we have the correct order: √8, π, 3.5. The correct answer is B

To determine the order, we need to compare the magnitudes of the numbers.
First, we compare √8 and π. The square root of 8 (√8) is approximately 2.83, while the value of π is approximately 3.14. Therefore, √8 is smaller than π.

Next, we compare π and 3.5. We know that π is approximately 3.14, and 3.5 is greater numbers than π.

Finally, we compare √8 and 3.5. Since 3.5 is greater than √8, we have the correct order: √8, π, 3.5.

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The area of the sector to the nearest hundredth is 308.57units²

The space bounded by two radii and an arc is called a sector of a circle. There is minor sector and major sector.

The area of a sector is expressed as;

A = tetha/360 × πr²

where r is the radius and tetha is the angle formed by the two radii.

A = 98/369 × 3.14 × 19²

A = 111086.92/360

A = 308.57 units²( nearest hundredth)

therefore the area of the sector is 308.57 units²

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The angles ABM and MBC sum to the measure of angle ABC. Let's create an equation to model the problem.

ABM + MBC = ABC

Let's plug our values into the variables.

ABM + 150 = 171

Let's solve for ABM. Subtract 150 from both sides.

ABM = 21

Answer:

∠ ABM = 21°

Step-by-step explanation:

∠ ABM + ∠ MBC = ∠ ABC , that is

∠ ABM + 150° = 171° ( subtract 150° from both sides )

∠ ABM = 21°

The  Trigonometric Identity sin² x + cos²x = 1 is: A. Pythagorean Identity.

The Pythagorean Identity which  tend to asserts that for every angle x, the sum of the squares of the sine and cosine of x is equal to one  is known as or called a  trigonometric identity.

The  Pythagorean identity can be expressed as:

sin² x + cos² x = 1

This identity is crucial to understanding trigonometry and tend to have several uses in numerous branches of science and engineering.

Therefore the correct option is A.

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Answer:

see explanation

Step-by-step explanation:

Median -

To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.

Answer: 34

Mode -

The most frequent number—that is, the number that occurs the highest number of times.

Answer: 34

Answer:

I think

Mode = 34

Median = 34

Step-by-step explanation:

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

The given function f(x) = 43 + 5x² - x + 7x³ is a polynomial function.

Standard form:  f(x) = 7x³ + 5x² - x + 43; Leading coefficient = 7; constant = 43; degree = 3; type - cubic polynomial.

In mathematics, there are many different kinds of functions. When studying functions as well as their applications, it's critical to be consistent with the names we use for various kinds of functions. A form of function is frequently described by more than one phrase.

A quadratic, cubic, quartic, and other functions involving purely non-negative integer powers of x are examples of polynomial functions. We can define a polynomial's degree and provide a generic definition for it.

Given polynomial:

f(x) = 43 + 5x² - x + 7x³

Arrange in standard form:  ax³ + bx² + cx + d

Thus,

Standard form:  f(x) = 7x³ + 5x² - x + 43;

Leading coefficient = 7;

constant = 43;

degree = 3;

type - cubic polynomial.

Thus, the given function f(x) = 43 + 5x² - x + 7x³ is a polynomial function.

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Answer: 15x+50

Step-by-step explanation: say x is the amount/ hours spent working on the computer. since the service fee of $50 does not apply to each hour spent but is added on after the cost of labor is totaled out it would be 15x+50

Answer:

Step-by-step explanation:

C (cost) = 50 + 15h where h is the number of hours taken to repair it.

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

\(\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs\)

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

\(\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200\)

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

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Answer:

Step-by-step explanation:

Part A:

This data modeling an exponential function because the y-coordinate values are increasing by multiplying the previous value by 2, which is the common ratio.

Part B:

To write a function to represent the data, we can use the formula for an exponential function: y = a(b)^x, where a is the initial value, b is the common ratio, and x is the input value (station number in this case).

Using the given data points, we can write two equations:

2 = a(b)^1

16 = a(b)^4

Dividing the second equation by the first equation, we get:

8 = (b)^3

Taking the cube root of both sides, we get:

b = 2

Substituting b = 2 in the first equation, we get:

2 = a(2)^1

2 = 2a

a = 1

Therefore, the function that represents the data is: y = 1(2)^x, or y = 2^x.

Part C:

To find the average rate of change between station 2 and station 4, we need to calculate the slope of the line passing through the points (2, 4) and (4, 16).

Using the formula for slope, we get:

slope = (y2 - y1) / (x2 - x1)

slope = (16 - 4) / (4 - 2)

slope = 6

Therefore, the average rate of change between station 2 and station 4 is 6 minutes per station.

Answer:

The difference between the Ranges in the dot plots is 2.

I've included a figure with the two-dot plots explained for easier comprehension.

The value on the far left of the numbered line that contains at least one point is the minimum value for students in Class A, and the maximum value is three (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 3 - 0 = 3

The value to the far left of the numbered line that has at least one point is the minimum value for students in Class B, and the maximum value is 5. (the value to the extreme right of the numbered line that contains, at least, one point).

Range = 5 - 0 = 5

The dot plots' range differences are 5 - 3 = 2, which is a difference of two.

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Answer:

it A

Step-by-step explanation:

The value of x in the circle is 13.

Option C is the correct answer.

A circle is a two dimensional figure with a radius and circumference of 2pir.

The area of a circle is πr².

We have,

A chord is a line segment connecting two points on a circle.

A chord is different from a diameter, which is a chord that passes through the center of the circle.

The chords in a circle are all the same with the same length.

From the given diagram,

There are two chords.

This can be written as:

(15 + 8) = 23 makes one chord.

(10 + x) makes one chord.

Now,

23 = 10 + x

Solve for x.

23 = 10 + x

23 - 10 = x

x = 13

Thus,

The value of x in the circle is 13.

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Step-by-step explanation:

JNM is a right-angled triangle with JM being the Hypotenuse.

we know JN = 20

NM = KL, and that is a side of the right-angled triangle JKL, aber we know JK and JL.

KL² = JL² - JK² = 35² - 16² = 969

KL = NM = sqrt(969) = 31.12876483...

and now,

JN² + NM² = JM²

20² + 969 = JM²

400 + 969 = JM²

1369 = JM²

JM = 37