Find the volume of the cube shown 

The principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.

To calculate the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59%, we first need to calculate the amount of interest that has accrued over the 51 months.

Using the formula:

Interest = Principal x Rate x Time

where Principal = $10,000,

Rate = 12.59% per year,

Time = 51/12 years (since the interest is compounded monthly):

Interest = $10,000 x 0.1259 x (51/12)

= $5,307.13

So the total amount owed after 51 months would be:

Total amount owed = Principal + Interest

= $10,000 + $5,307.13

= $15,307.13

Therefore, the principal when making the first payment 51 months later on a private student loan with a principal of $10,000 and a rate of 12.59% would be $15,307.13.

As for recent examples of community change that involves a clash between different cultures that helped disadvantaged communities and the populations, one example is the Black Lives Matter movement, which has brought attention to systemic racism and police brutality in the United States.  Another example is the #MeToo movement, which has raised awareness about sexual harassment and assault and has led to changes in workplace policies and cultural attitudes toward these issues.

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If three points that are provided are not collinear then the only possible polygon that can be formed by connecting these points would be a triangle.

A polygon is a closed two-dimensional shape made up of straight line segments called sides. It is formed by connecting three or more points (vertices) in a specific order. The sides of a polygon do not intersect, and each vertex is connected to exactly two sides. The region enclosed by the sides of a polygon is called its interior, while the points outside the polygon but on the same plane are called its exterior.

If three points are provided and they are not collinear (i.e., they do not lie on the same straight line), then the only possible polygon that can be formed by connecting these points would be a triangle(refer image attached). A triangle is a polygon with three sides and three angles.

The specific type of triangle (e.g., equilateral, scalene, isosceles) would depend on the lengths of the sides and the measure of the angles formed by connecting these points in a specific order. Different orders of connecting the points may result in different types of triangles.

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Step-by-step explanation:

x = the number

1/4 * x = 1/8   <====given,     Multiply both sides of the equation by 4

4  * 1/4   x = 4 * 1/ 8

x = 4/8 = 1/2

Step-by-step explanation:

Let the given number Be X  

SO given thatone fourth of X is one eighth

x/4 = 1/8

x  = 1/2

x = 0.5

Therefore, the volume of the prism is 60 cubic feet.

Volume is the amount of space occupied by a three-dimensional object or the capacity of an object. It is typically measured in cubic units such as cubic meters, cubic feet, or cubic centimeters. The formula for finding the volume of a solid object depends on its shape. In general, the volume of a shape can be found by dividing it into smaller, more easily measured shapes and adding up their volumes. This is known as the method of integration in calculus, and it is used to find the volumes of irregularly shaped objects or fluids. Understanding the concept of volume is important in many fields, such as architecture, engineering, physics, and chemistry. In these fields, volume is used to determine the capacity of containers, the displacement of fluids, and the amount of materials needed for a construction project.

Here,

The volume of a prism is given by the formula:

V = Bh

where B is the area of the base and h is the height of the prism.

Substituting the given values:

V = (20 ft)(3 ft)

V = 60 cubic feet

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The independent variable x represents the number of hours since the snow began to fall while the dependent variable is total amount of snow on Samir's lawn after x hours because the total amount of snow on Samir's lawn depends on the number of hours the snow fell.

The function M(6) refers to the amount of snow on Samir's Lawn after 6 hours

An independent variable is defined as the variable that causes a change.

However, a dependent variable is defined as the variable that occurs as a result or effect of a change.

The independent variable x represents the number of hours since the snow began to fall while the dependent variable is total amount of snow on Samir's lawn after x hours because the  total amount of snow on Samir's lawn depends on the number of hours the snow fell.

The function M(6) refers to the amount of snow on Samir's Lawn after 6 hours

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There are 250 students in the sixth grade.

First, let's define some variables:

The total number of sixth-grade students is called "x."

The number of students who purchased their lunches will be referred to as "p."

The number of students who brought their lunch from home will be referred to as "h."

We know that from the problem statement that

p + h = x (since all students either purchased their lunch or brought their lunch from home)

p = 0.24x (since 24% of the students purchased their lunch)

h = 190 (since 190 students brought their lunch from home)

We can use these equations to solve for x:

p + h = x

0.24x + 190 = x (substituting in the value of p and h from the other equations)

0.76x = 190 (subtracting 0.24x from both sides)

x = 250 (dividing both sides by 0.76)

Therefore, there are 250 students in the sixth grade.

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Answer:

2x + [tex]\frac{5}{6}[/tex]

Step-by-step explanation:

The like terms that you want to combine is 1/3 and 1/2.  You need a common denominator which would be 6

[tex]\frac{1}{3}[/tex] = [tex]\frac{2}{6}[/tex]

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{6}[/tex]

2x + [tex]\frac{2}{6}[/tex] + [tex]\frac{3}{6}[/tex]

2x + [tex]\frac{5}{6}[/tex]  You cannot combine this with the 2 because the 2 is multiplied by x.

Helping in the name of Jesus.

Since -4 is less than or equal to -2, we use the first part of the definition of f(x) which is f(x) = x + 4 if x ≤ -2. Therefore,

f(-4) = (-4) + 4 = 0.

So, the answer is D. 0.

The perimeter of the figure is 20.56 centimetres

Explain perimeter

Perimeter is the distance around the edge of a two-dimensional shape, such as a polygon or a circle. It is calculated by adding the length of all the sides of the shape. Perimeter is a fundamental measure in geometry and is used to determine the amount of material needed to enclose a shape, such as fencing or paving. It is also used to compare the size of different shapes with the same perimeter.

According to the given information

The perimeter of the figure is 4+4 + circumference of the circle with diameter 4= 8+12.56= 20.56

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The expressions that are all equivalent to 3/5 - 8/13 +2/9 are:

A mathematical expression is a combination of numbers, variables, operators, and symbols that represents a mathematical relationship or calculation. Mathematical expressions can be written using a variety of mathematical notations, such as algebraic notation, set notation, or calculus notation.

We were given the expression  3/5 - 8/13 +2/9, then we can see that the only negative value is  - 8/13 , then we can see that the only options that have a negative value of  - 8/13  is option B,D. Therefore, option B and E are correct.

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complete question;

Which expressions are all 3/5 - 8/13 +2/9 ?

Answer:

13.5

Step-by-step explanation:

10+17=27

27/2=13.5

Answer:

13.5

Step-by-step explanation:

What number is halfway between 10 and 17

The vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

Given equation :

y=(x−2)2−8

y = 2x - 4 - 8

= 2x - 12

The final equation is y = 2x - 12.

Compare this equation with slope and y-intercept formula :

y = mx+c

So that c = -12

The value of y-intercept according to the solution is -12.

To find the vertex. Let's assume x=0; Substitute in the equation

y = 2(0) -12

y = -12

The first vertex will be (0, -12)

If x = 1; y = 2(1) -12

y = -10

Then the second vertex will be (1, -10).

Hence, the vertex of the given equation is (0,12) and (1, -10). The value of y-intercept will be -12.

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Answer: y=2

Step-by-step explanation:

We're given x=1 so we can plug this in 3x - y =1 and isolate to solve for y.

[tex]3(1)-y=1\\3-y=1\\-y=-2\\y=2[/tex]

Answer:

The third choice (the bottom one)

Step-by-step explanation:

By law of sin, an angle over the side opposite of the angle is equal to another angle over side opposite of the angle. If that doesn't make sense, refer to the picture below. The first option is not applicable because y is not opposite the angle measuring 100 degrees. Therefore, law of sin cannot be applied. The second option is not applicable because y is not opposite the angle measuring 46 degrees. The third option is applicable because the side measuring 21 unites is opposite the angle measuring 46 degrees and side y is opposite the angle measuring 34 degrees.

Check the picture below.

so we can just look at it as the LCD and 4 and 5 is 20, so they'll have a simultaneous sale every 20 days or every LCD time.

Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

We need to compare their volumes.

We can use the formula:

Density = mass / volume

To solve for volume, we rearrange the formula:

Volume = mass / density

For nickel:

Volume = 130g / 8.90 g/cm³ = 14.61 cm³

For magnesium:

Volume = 60g / 1.78 g/cm³ = 33.71 cm³

Therefore, Since magnesium has a larger volume than nickel, it will displace more water from an overflow can.

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Answer:

I cannot understand the question

Answer:

B) 352

Step-by-step explanation:

45% = 0.45

640 x 0.45= 288

288 is how many students walked to school

So to find how many took the bus to school

640- 288= 352

Answer:

d. x > 2 or x < -2

Step-by-step explanation:

Domain describes the range of x-values in a function.

Domain

The domain of a graph is all of the x-values covered by the function. The domain does not reflect the y-values of a function. This means that answers A and B are automatically wrong.

By looking at the graph, we can tell that there is a gap where some x-values are not covered. This gap is known as a discontinuity. The discontinuity begins at -2 and ends at 2. All of the x-values in the discontinuity are not a part of the domain, and any parts of the graph that are continuous, are included in the domain. The graph is continuous at all points greater than 2 and less than -2, so all of those values are included in the domain. Now, we just need to find out if the endpoints are included in the domain.

Included Values

We know that the domain includes all x-values greater than 2 and less than -2, but we need to know if the domain includes 2 and -2. On a graph, included values will be shown as a closed circle and non-included values will be shown as an open circle. By looking at the graph, we can tell that 2 is not included but -2 is. This means that the domain is x > 2 or x < -2 because the domain does not include x = 2.

Answer:

The coins are picked without replacement.

The probability of picking at least one Canadian quarter is 1 minus the probability of picking 6 U.S. quarters:

[tex]1 - ( \frac{41}{50} )( \frac{40}{49} )( \frac{39}{48} )( \frac{38}{47} )( \frac{37}{46} )( \frac{36}{45} ) [/tex]

[tex] = 1 - .28296 = .71704[/tex]

So the probability of picking at least one Canadian quarter is about 71.7%.

Answer:

x=26

Step-by-step explanation:

5x=3x+52

5x-3x=52

2x=52

2x/2=52/2

x=52/2

x=26

As a result, the vertex form of the f(x) equation is: [tex]f(x) = -(x - 5)^2 + 2[/tex]which is equivalent to choice (b).

A quadratic function is a sort of second-degree polynomial equation, meaning it has at least two squared element. A quadratic equation's generic form is: [tex]ax^2 + bx + c = 0[/tex] where the variable x and the constants a, b, and c. If the coefficient a were zero, the expression would be linear rather than quadratic. Several ways to solve a quadratic equation, including factoring, squaring the square, and utilising the quadratic formula. The negative numbers or roots of the quadratic equation are the values of x which it make the equation true and are the solutions to the quadratic equation.

given

The factored form of the quadratic function f(x), which has roots of 3 and 7, is as follows:

f(x) = a(x - 3)(x - 7) (x - 7) where "a" stands for a fixed coefficient.

We can utilise the point (1, 12) through which the function passes to determine the value of "a"

12 = a(1 - 3) (1 - 3)(1 - 7)

12 = -24a

a = -1/2

Inputting the value of "a" into the factored form yields the following results:

[tex]f(x) = -1/2(x - 3)(x - 7) (x - 7)[/tex]

By extending this phrase, we get:

[tex]f(x) = -1/2(x^2 - 10x + 21)[/tex]

We need to finish the square before we can transform this into vertex form. To achieve this, add and remove the square of the coefficient of x's half:

[tex]f(x) = -1/2(x^2 - 10x + 25 - 4)[/tex]

If we condense this phrase, we get:

[tex]f(x) = -1/2[(x - 5)^2 - 4][/tex]

As a result, the vertex form of the f(x) equation is: [tex]f(x) = -(x - 5)^2 + 2[/tex]which is equivalent to choice (b).

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Answer:

$232,241.07

Step-by-step explanation:

To calculate the total amount in the account after 30 years of depositing $3,000 each year and earning 6% interest compounded annually, we can use the formula for the future value of an annuity:

FV = P * (((1 + r)^n - 1) / r)

where:

FV is the future value of the annuity

P is the periodic payment (in this case, $3,000 per year)

r is the interest rate per compounding period (in this case, 6% per year, compounded annually)

n is the number of compounding periods (in this case, 30 years)

Substituting the given values, we get:

FV = $3,000 * (((1 + 0.06)^30 - 1) / 0.06)

Using a calculator, we get:

FV ≈ $232,241.07

Therefore, the total amount in the account after 30 years, rounded to the nearest cent, is $232,241.07.

Answer: 36

Step-by-step explanation:

In linear equation, 44%  of the shoppers have an e-mail account and 56%  of the shoppers do not have computer access at home.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

Total number of the shoppers who were surveyed = 150

a). Number of shoppers who have an e-mail account = Shoppers who have email accounts and computer access at home + Shoppers who have email accounts but no computer access at home

= 44 + 22

= 66

Percentage of the shoppers having an e-mail account = 66/150 * 100

                                                                        = 44%

b). Total number of shoppers who do not have computer access at home

= 7 + 77

=  84

Percentage of the shoppers having computer access at home

                                             = 84/150  * 100   =  56%

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After 5 half-lives, only 3.9 g of the original 155 g of radioactive isotope will remain.

Number is a mathematical object used to count, measure, and label. It is an abstract concept that can be represented in a variety of forms, such as the natural numbers, real numbers, and complex numbers. Numbers can be used to describe physical quantities, such as volume, mass, and time, as well as abstract quantities, such as sets, functions, and abstract objects. Numbers are also used to represent concepts such as truth, beauty, and goodness.

To calculate this, we can use the formula:
Final Mass = Initial Mass * (1/2)Number of Half Lives

In this case, the Initial Mass is 155 g, and the Number of Half Lives is 5. Therefore, the equation to use is:
Final Mass = 155 g * (1/2)⁵

Plugging the numbers into the equation, we get:
Final Mass = 155 g * (1/2)⁵
Final Mass = 155 g * (1/32)
Final Mass = 3.9 g

Therefore, after 5 half-lives, only 3.9 g of the original 155 g of radioactive isotope will remain. This is due to the fact that the half-life of a radioactive isotope is the amount of time it takes for the isotope to be reduced to half its original mass. As the number of half-lives increases, the amount of the isotope left decreases exponentially.

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Based on the data in the sample, we can estimate that 900 people in attendance would prefer mustard on a hot dog.

According to the data provided, out of the 150 people surveyed, 27 people prefer mustard on a hot dog.

To estimate how many people in attendance would prefer mustard on a hot dog, we can use a proportion:

27/150 = x/5000

Where x is the number of people in attendance who would prefer mustard on a hot dog.

To solve for x, we can cross-multiply:

27 x 5000 = 150 x

Simplifying the equation, we get:

x = (27 x 5000)/150

x = 900

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The length of XY uisng the midpoint theorem is 40 units

The midpoint theorem states that if a line segment is drawn connecting the midpoints of two sides of a triangle, then that line segment is parallel to the third side of the triangle, and its length is half the length of the third side.

In this case, we have a triangle XYZ, and points A, B, C are the midpoints of sides XY, YZ, and ZX respectively.

By the midpoint theorem, we know that AB is parallel to ZX and has a length of half of ZX.

Similarly, BC is parallel to XY and has a length of half of XY, and AC is parallel to YZ and has a length of half of YZ.

We are given that BC has a length of 20, and we want to find the length of XY.

Using the midpoint theorem, we know that

XY is twice the length of BC

So

XY = 2 * BC = 2 * 20 = 40.

Therefore, the length XY is 40 units

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