Last​ year, a​ college's tuition was ​$. 42,000This​ year, the tuition increased by​ 4%. Find this​ year's tuition by using a percent greater than 100.

The required answer for the given mathematical operation is 182.5

What are arithmetic operations?

A subject of mathematics known as arithmetic operations deals with the study and use of numbers in all other branches of mathematics. Basic operations including addition, subtraction, multiplication, and division are included.

Given, 67.4 + 43 + 30 + 42.10

        = 110.4 + 30 + 42.1

        = 140.4 + 42.1

        = 182.5

Hence, the required answer for the given mathematical operation is 182.5

To learn more about the mathematical operation

https://brainly.com/question/12210310

#SPJ1

Answer:

\(30x^{2} -105x+60\)

Step-by-step explanation:

I just solved it.

(5x-20)(6x+3)

5x•6x=30x^2

5x•3=15x

-20•6x=-120x

-20•3=-60

Pls give Brainliest.

Answer:

17.32 meters

Step-by-step explanation:

Let’s call the height of the tower H. The distance from the point to the base of the tower is 10 m. The angle of elevation from the point to the top of the tower is 60 degrees.

Using trigonometry, we can calculate that:

tan (60) = H / 10

H = 10 * tan (60)

H = 10 * √3

H = 17.32 m

Therefore, the height of the tower is 17.32 meters.

Let me know if I helped :)

The graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

The graphical solution to a system of equations is a method of finding the point of intersection between the graphs of the equations. We plot each equation as a line on the same coordinate plane, and then find the point where the lines intersect.

If we have two equations in two variables, the solution to the system is the point where the two lines intersect. Also if there are three equations in three variables, the solution is the point where the three planes intersect.

In conclusion, the graphical solution to a systems of equations is the coordinate pair at the place where the two linear graphs intersect.

Read more about equations here:https://brainly.com/question/28732353

#SPJ1

Answer:

Step-by-step explanation:

3³×6³×2³ = 3³×2³×6³ = (3×2)³×6³ = 6³×6³ = 6⁶

Answer:

Step-by-step explanation:

To find the sum of -3x and 8x, you can add the two terms together using the commutative property of addition, which states that the order in which you add numbers does not affect the sum. This gives you the following:

-3x + 8x = (-3 + 8)x = 5x

So the sum of -3x and 8x is 5x. This expression is already in standard form, as it consists of a single term.

Answer:

Please give brainliest

Step-by-step explanation:

c

The given expression is

We get the first equivalent expression by combining the like terms

We get the second equivalent expression by using the distributive property

To show the equivalence between the given expression and one of the part A expressions, we just have to extract the greatest common factor of 24m + 12, which is 4.

Then, we separate the term 6m into m+5m

At last, we use the commutative property

There you have it, the equivalence has been demonstrated.

Let's evaluate the expressions when m = 1.

As you can see, using m = 1, we proved that the expressions were equivalent.

Answer:

3 1/8

Step-by-step explanation:

2 1/2 = 5/2

1 1/4 = 5/4

(5/2)(5/4) = 25/8 = 3 1/8

Therefore, the answer is A. {5, 5√3, 10}.

The set of values {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

In a 30-60-90 triangle, the sides are in a specific ratio. The ratio is 1 : √3 : 2, where the shortest side (opposite the 30-degree angle) has length x, the side opposite the 60-degree angle has length x√3, and the hypotenuse (opposite the 90-degree angle) has length 2x.

Let's check if the given set of values satisfies this ratio:

   If x= 5, then the side opposite the 60-degree angle should be 5√3, and the hypotenuse should be 10. These values match the ratio, so the set {5, 5√3, 10} could be the side lengths of a 30-60-90 triangle.

For such more question on lengths

https://brainly.com/question/28322552

#SPJ8

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Heron of Alexandria (c. 62 ce) is credited with developing the Heron's formula, which determines the area of a triangle in regards of the lengths of its sides. If the side lengths are represented by the symbols a, b, and c: √s(s - a)(s - b)(s - c)

where s = half the perimeter,

s = (a + b + c)/2.

given data:

In ΔHIJ,

semi -perimeter s = (i + j + h) / 2

s = (33 + 61 + 39) / 2

s = 66.5

Now,

s - h = 66.5 - 33 = 33.5

s - i = 66.5 - 61 = 5.5

s - j = 66.5 - 39 = 27.5

area of ΔHIJ = √s(s - h)(s - i)(s - j)

area of ΔHIJ = √66.5*33.5*5.5*27.5

area of ΔHIJ = √336947.1875

area of ΔHIJ = 580.47

Thus, the area of ΔHIJ using the Heron's formula is found as 580.47 square centimeter.

Know more about the Heroin's formula:

https://brainly.com/question/17617609

#SPJ1

The time at which Neo reaches the work destination is A = 8 : 15 AM

Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.

It displays the similarity of the connections between the phrases on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.

Given data ,

Let the time at which Neo reaches the work destination be A

Now , the time at which Neo leaves home = 6 : 45 AM

And , the distance between Neo and work = 45 miles

where the speed of Neo is S = 30 miles per hour

So , the distance traveled by Neo in 1 hour = 30 miles

The distance traveled by Neo in 1.5 hours = 45 miles

Therefore , the time required by Neo to reach office is 1.5 hours

And , the time at which Neo reaches the work destination A = 6 : 45 AM + 1.5 hours

On simplifying the equation , we get

The time at which Neo reaches the work destination A = 8 : 15 AM

Hence , the equation is A = 8 : 15 AM

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ9

The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer:

y = 15 , x = 6

Step-by-step explanation:

you can easily find y from first equation

Move y to the other side of the equation and reverse its sign

so (-11) changes to (+11) and now we have this equation

y = 15

now you must replace 15 instead of y in second equation ,then we have this equation

15 = 2x + 3

now we have to find x

move (+3) to other side of equation and reverse its sign

(+3) changes to (-3)

we have this equation now

15 - 3 = 2x

12 = 2x

x = 12 ÷ 2 = 6

With the Application of Integral calculus the volume of  solid generated is π.

what is integral calculus?

We study integrals and their characteristics in the calculus area known as integral calculus. A crucial idea is integration, which is the opposite of difference. The fundamental theorem of calculus establishes a connection between integral and differential calculus.

v = 2π∫0√π/2xcosx2dx

  = π·sinx20√π/2

v = π

Hence the volume of  solid generated when the region enclosed by the given curves is revolved about the y-axis is π

To learn more about integral calculus from the given link

https://brainly.com/question/24705479

#SPJ4

Answer:

1 or 6

Step-by-step explanation:

x² - 7x + 6

-6 and -1

x² -6x - 1x + 6

x( x - 6) + -1(x - 6)

(x - 1) (x - 6)

x = 1 or x = 6

Answer:

\( {x}^{2} - 7x + 6 \\ {x}^{2} - 6x - x + 6 \\ ( {x}^{2} - 6x) - (x - 6) \\x(x - 6) -1 (x - 6) \\ (x - 6)(x - 1)\)

Answer:

3.55 miles

Step-by-step explanation:

You add the mileage of the two trails which is 1.75+1.8=3.55 miles

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

We determined UY = 24 unit by using trigonometric ratio.

Kite is a type of quadrilateral that has two pair of equal side length but not parallel to each other. The diagonals of kite are not equal but meet at right angles. Within a kite there is two congruent triangles.

Given, UVWX is a quadrilateral that is a kite. Th side lengths are UV, VW, WX and UX. The diagonals are VX and WU. Side length UV = 40 unit,

parts of diagonal VY = 32 unit.

if we consider UVY as a right triangle with angle ∠Y = 90 °

VY = 32, UV = 40

for angle ∠V we apply trigonometric formula.

cos (V) = adjacent / hypotenuse = VY / UV = 32 / 40

V = cos⁻¹ ( 32/40) = 36.87°

tan V = opposite / adjacent = UY / VY = UY / 32

tan (36.87) × 32 = UY

UY = 24 unit

To learn more about kite visit:

https://brainly.com/question/12160818

#SPJ1

There are not just "the two ways" to represent this expression. There are two ways, surely, but they are not the only ways as implied.

You could expose 4 and get something like \(4(\frac{3}{4}-n)\) or expose 3 and get something like \(3(1-\frac{4}{3}n)\).

But you could also say something like \(3-(1+3)n=3-n-3n=-3(n-1)-n\)... in fact there are a lot of ways to write any expression.

Hope this helps :)

Answer:

6

Step-by-step explanation:

24/-4

Answer:

its is 6

Step-by-step explanation:

Answer:

(-3, -1)

(-4, -6)

Step-by-step explanation:

The third quadrant is the bottom left quarter of the coordinate grid, so points with a negative x and a negative y would be in it.

The absolute value of |-32| is 32; absolute value of |27| is 27; absolute value of |-12| is 12; absolute value of -|14| is -14.

The Absolute value |x| of a real number x is the non-negative value of x without regard to its sign.

|x| = x ; |-x| = x

Therefore absolute value of

|-32| = 32

|27| = 27

|-12| = 12

- |14| = - 14

Absolute value describes the distance from zero that a number is on the number line , without considering direction. The absolute value of a number is never negative. Sometimes a sign is attributed to a numeric value to signify the direction, in addition to the value.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number.

To know more about absolute value here

https://brainly.com/question/24534147

#SPJ4

Answer:

sorreyyyy mateeeeee dont know the answer

Answer: h - 5

Step-by-step explanation:

h decreased by 5

h - 5

I'm sorry TnT I don't really know how to explain this but I'm 100% sure my answer is correct. Hope it helped!

Answer:

see explanation

Step-by-step explanation:

h is decreased by 5

5-h

Answer:

1 1/2 or 1.5

Step-by-step explanation:

If they split 1/2 of the bar with each other

3 bars x 1/2 split bar = 1.5 or 1 1/2 of the shared amount

3 *1/2=1.5 or 1 1/2

Answer:

the aswer is D.) 4 terms

Step-by-step explanation:

A transformation would accomplish this include the following: C. a rotation 180° counterclockwise about the origin.

In Mathematics and Geometry, the rotation of a point 180° about the origin in a clockwise or counterclockwise direction would produce a point that has these coordinates (-x, -y).

Furthermore, the mapping rule for the rotation of a geometric figure 180° counterclockwise about the origin is given by this mathematical expression:

(x, y)                                            →            (-x, -y)

Coordinates of point X (0, 4)  →  Coordinates of point Y = (0, -4)

Coordinates of point X (1, 3)  →  Coordinates of point Y = (-1, -3)

In conclusion, we can logically deduce that this transformation rule (x, y) → (-x, -y) would map Figure X onto Figure Y.

Read more on rotation here: brainly.com/question/28515054

#SPJ1

Answer:

15/8 is the answer in fraction form (If you need it in decimal for comment below.)

Step-by-step explanation:

1/2x+3/2(x+1)-1/4=5

1/2x+3/2x+3/2-1/4=5

1/2x+3/2x+ 5/4 = 5

2x+6x+5=20

8x+5= 20

8x=20-5

8x=15

x= 15/8

Hope this helps.