EASY MATH QUESTION

the original price of a soccer ball is $25.00. if the soccer ball is discounted 25%, what is the new price?

By placing the given value in equation , we get u + v - 4u = (-20, 13)

A physical quantity that has both directions and magnitude is referred to as a vector quantity.

A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

To evaluate u + v - 4u, we first need to find the vector 4u, which is obtained by multiplying the vector u by the scalar 4:

4u = 4(5,-2) = (20,-8)

Now, we can add u and v, and subtract 4u from the result:

u + v - 4u = (5,-2) + (-5,7) - (20,-8)

= (5 - 5 - 20, -2 + 7 + 8)

= (-20, 13)

Therefore, u + v - 4u = (-20, 13).

To know more about vector visit:

https://brainly.com/question/29740341

#SPJ1

Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

Answer:

The percent increase in the the puppy's weight  is 84%

Step-by-step explanation:

Answer:

61

Step-by-step explanation

sped

Answer: b=−10x−10.54

Step-by-step explanation:

Let's solve for b.
30.4x+b=3.4(6x−3.1)

Step 1: Add -30.4x to both sides.

b+30.4x+−30.4x=20.4x−10.54+−30.4x

Answer: b=−10x−10.54

Answer:

\( \sqrt{170} \)

Answer:

-103

+11

Step-by-step explanation:

read my comments

The range of y - log(6) is all real numbers.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The expression y - log(6)  means y minus the logarithm of 6".

The range of this expression depends on the domain of y.

If y can be any real number, then the range of y-log(6) is also any real number.

However, if there are restrictions on the domain of y, then the range of y-log(6) will be affected.

For example, if y is restricted to be greater than or equal to 0, then the range of y-log(6) is also greater than or equal to -log(6) (which is a negative number).

On the other hand, if y is restricted to be less than or equal to 0, then the range of y-log(6) is also less than or equal to -log(6).

Therefore,

Without any specific restrictions on the domain of y, the range of y - log(6) is all real numbers.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ7

Answer:

if two angles are not suppliementary

then the measure of the angle sum is 180

if the measure of two Angles do not sum to 180 , then they are not suppliementary

if two Angles are supplementary then

false

true

true

Step-by-step explanation:

Answer:

Step-by-step explanation:

Calling x to the unknown number, the product of six and a number is 6x

At most 30 means less than or equal to 30.

Then, the inequality is:

6x ≤ 30

Answer:

x(x + 11)

Step-by-step explanation:

x^2 + 11x when factored gives a result of x(x + 11)

Answer:

x(x+11)

Step-by-step explanation:

We are given the expression:

\(x^2+11x\)

This can be factored using the Greatest Common Factor (GCF).

The GCF of x^2 and 11x is x.

Factor out an x.

\(x(x+11)\)

x^2+11x factored is: x(x+11).

Answer: The usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen.

Step-by-step explanation: To find the usual dose of ibuprofen for a child, we need to follow these steps:

Therefore, the usual dose for an 18-month-old weighing 21 pounds is 48 mg of ibuprofen. Hope this helps, and have a great day! =)

The number of hydrogen atoms present in the sculpture of earth if the mass of earth is 829 kg is 4.145 × 10²⁹.

Given that,

Mass of the sculpture of the earth = 829 kg

We know that,

Mass of an hydrogen atom = 2 × 10⁻²⁷ kg

Number of hydrogen atoms = Mass of earth / Mass of hydrogen atom

                                              = 829 / 2 × 10⁻²⁷

                                              = 414.5 × 10²⁷

                                              = 4.145 × 10²⁹

Hence the required number of atoms is 4.145 × 10²⁹.

Learn more about Mass here :

https://brainly.com/question/30692091

#SPJ1

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

Read more on difference of numbers:

https://brainly.com/question/17301989

#SPJ1

The best description of the graph is "a quadratic function with a constant difference of 2."

A quadratic function is a function of the form f(x) = ax^2 + bx + c, where a, b, and c are constants. In a quadratic function, the graph forms a parabola.

In the given graph, if the differences between consecutive points on the graph are constant and equal to 2, it indicates a constant difference in the y-values (vertical direction) as the x-values (horizontal direction) increase. This is a characteristic of a quadratic function.

On the other hand, an exponential function with a growth factor of 2 would result in a graph that increases at an increasing rate, where the y-values grow exponentially as the x-values increase. This is not observed in the given graph.

Therefore, based on the information provided, the graph best represents a quadratic function with a constant difference of 2.

Learn more about quadratic equation here:

https://brainly.com/question/30164833

#SPJ8

Answer and Step-by-step explanation:

Given Asin(wt + phi), we know that sin (A + B) = sinAcosB + sinBcosA. This means:

Asin(wt + phi) = Asin(wt)cos(phi) + Asin(phi)cos(wt).

Let Acos(phi) = c2 and Asin(phi) = c1 we have:

Asin(wt + phi) = c2sin(wt) + c1cos(wt)

Answer:

Step-by-step explanation:

In order to prove that Asin(ω⁢t+ϕ) equals c2sin ω⁢t+ c1cos ω⁢t we need use the sin (A+B) sum identity.

The sin sum identity is sin(A+B)= sinA × cosB + cosB × sinA

Now lets plug in our info.

Asin(ω⁢t+ϕ)= (sin wt × cosϕ) + (cos wt × sinϕ)

We know that Asin= c1 and Acos= c2.

Once we input c1 and c2 and solve, our end result becomes c2sin(wt)+c1cos(wt)​

Answer:

Step-by-step explanation:If you choose any 3 of the 7 vertices, you can connect them with lines to create a unique triangle.

So, the question becomes "In how many different ways can we select 3 vertices from 7 vertices?"

Since the order in which we select the 3 vertices does not matter, we can use COMBINATIONS.

We can select 3 vertices from 7 vertices in 7C3 ways.

Answer:

2/23

Hope this helps!

Answer:

0.25

Step-by-step explanation:

there is no hundredth in 0.25

Rounding 0.25 to the nearest hundredth gives us 0.26.

We must look at the digit in the thousandth place, which is the following decimal place after the hundredth place, in order to round 0.25 to the closest hundredth.

We round up the digit in the hundredth place by adding 1 since the digit in the thousandth place is 5, which is equal to or larger than 5.

Thus, 0.26 is obtained by rounding 0.25 to the next tenth.

0.25 (initial number) worked

(Number in the thousandth place) (Number in the hundredth position)

We round up the digit in the hundredth place since the digit in the thousandth place is 5, which is 5.

Hence rounding to the nearest hundredth, 0.25 equals 0.26.

Learn more about rounding figures click;

https://brainly.com/question/29261078

#SPJ6

Answer:

\(m=\frac{1}{2}\)

Step-by-step explanation:

Slope Formula: \(m=\frac{y_2-y_1}{x_2-x_1}\)

Simply plug in 2 coordinates into the slope formula to find slope m:

(0, 2)

(-4, 0)

\(m=\frac{2-0}{0-(-4)}\)

\(m=\frac{2}{0+4}\)

\(m=\frac{2}{4}\)

\(m=\frac{1}{2}\)

On solving the provided question we can say that - from the graphs n f (x) and g( x) are 1 and 5 .

Graphs are visual representations or charts used in mathematics to methodically express data or values. A relationship between two or more objects is frequently represented by a point on a graph. A non-linear data structure called a graph is made up of nodes, or vertices, and edges. Connect the nodes, also known as vertices. This graph comprises a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, and (2.5), (3.5), (4.5). Statistics graphs (bar charts, pie charts, line charts, etc.) Exponential diagrams. triangle graph, a logarithmic graph

by graphs of the function f (x) and g( x).

\(lim f ( x) + lim g ( x )\\= -1 + 2 = 1\\ f ( -1 ) + lim g ( x)\\= 3 + 2\\= 5\)

from the graphs n f (x) and g( x) are 1 and 5 .

To know more about graphs visit:

https://brainly.com/question/11950136

#SPJ1

Answer:

2,4 3,5

Step-by-step explanation:

https://www.khanacademy.org/math/statistics-probability/modeling-distributions-of-data/z-scores/a/z-scores-review

Clear Your concept

Step-by-step explanation:

everything can be found in the picture

Answer:

x = 102

Step-by-step explanation:

The angles form a straight line

Angles that form a straight line add up to equal 180

Hence, x + 78 = 180

Subtract both sides by 78

180 - 78 = 102

78 - 78 cancels out

Were left with x = 102

Answer: 473 square meters

Step-by-step explanation:

Answer:

(1, - 5 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

The lines intersect at (1, - 5 ), then

the solution to the system is (1, - 5 )

Answer:

x > 29

Step-by-step explanation:

Answer:

\(x > 29\)

Step-by-step explanation:

Given: −x<−29

To find: Simplified

Solution: Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

The process entails collecting like terms, which implies adding or subtracting terms in an expression.

Multiply both sides by -1 (reverse the inequality)

\((-x) (-1) > (-29) (-1)\)

Simplify

\(x > 29\)

Answer:

C

Step-by-step explanation:

to find the unit rate divide miles travelled by petrol used , that is

60 \(\frac{2}{3}\) ÷ 4 \(\frac{2}{3}\) ← change mixed numbers to improper fractions

= \(\frac{182}{3}\) ÷ \(\frac{14}{3}\)

• leave first fraction, change ÷ to × , turn second fraction ' upside down'

= \(\frac{182}{3}\) × \(\frac{3}{14}\) ( cancel 3 on numerator/ denominator )

= 182 × \(\frac{1}{14}\)

= \(\frac{182}{14}\)

= 13

the car travels 13 miles per gallon of petrol

Answer:

9.75

Step-by-step explanation:

-25 = -4p + 19

-25 - 19 = -4p

-39 ÷ -4 = p

9.75 = p

Answer:

current market price:

PV of face value = $1,000 / (1 + 3.5%)²⁶ = $

PV of coupon payments = $45 x 16.89035 (PV annuity factor, 3.5%, 26 periods) = $760.07

current market price = $408.84 + $760.07 = $1,168.91

price in 1 year:

PV of face value = $1,000 / (1 + 3.5%)²⁴ = $437.96

PV of coupon payments = $45 x 16.05837 (PV annuity factor, 3.5%, 24 periods) = $722.63

market price = $437.96 + $722.63 = $1,160.59

price in 3 years:

PV of face value = $1,000 / (1 + 3.5%)²⁰ = $502.57

PV of coupon payments = $45 x 14.2124 (PV annuity factor, 3.5%, 20 periods) = $639.56

market price = $502.57+ $639.56 = $1,142.13

price in 8 years:

PV of face value = $1,000 / (1 + 3.5%)¹⁰ = $708.92

PV of coupon payments = $45 x 8.31661 (PV annuity factor, 3.5%, 10 periods) = $374.25

market price = $708.92 + $374.25 = $1,083.17

price in 12 years:

PV of face value = $1,000 / (1 + 3.5%)² = $933.51

PV of coupon payments = $45 x 1.89969 (PV annuity factor, 3.5%, 2 periods) = $85.49

market price = $933.51 + $85.49 = $1,019

price in 13 years:

market price = $1,000 + $45 = $1,045

current market price:

PV of face value = $1,000 / (1 + 4.5%)²⁶ = $318.40

PV of coupon payments = $35 x 15.14661 (PV annuity factor, 4.5%, 26 periods) = $530.13

current market price = $318.40 + $530.13 = $847.53

price in 1 year:

PV of face value = $1,000 / (1 + 4.5%)²⁴ = $347.70

PV of coupon payments = $35 x 14.49548 (PV annuity factor, 4.5%, 24 periods) = $507.34

market price = $347.70 + $507.34 = $855.04

price in 3 years:

PV of face value = $1,000 / (1 + 4.5%)²⁰ = $414.64

PV of coupon payments = $35 x 13.00794 (PV annuity factor, 4.5%, 20 periods) = $455.28

market price = $414.64+ $455.28 = $869.92

price in 8 years:

PV of face value = $1,000 / (1 + 4.5%)¹⁰ = $643.93

PV of coupon payments = $35 x 7.91272 (PV annuity factor, 4.5%, 10 periods) = $276.95

market price = $643.93 + $276.95 = $920.88

price in 12 years:

PV of face value = $1,000 / (1 + 4.5%)² = $915.73

PV of coupon payments = $35 x 1.87267 (PV annuity factor, 4.5%, 2 periods) = $65.54

market price = $915.73 + $65.54 = $981.27

price in 13 years:

market price = $1,000 + $35 = $1,035