A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car, find the average speed of the car and the time taken to travel 265 km.

Answer: a(n)=3^n as an infinite sequence

I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.

a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}

Which equals 3^n = {3, 9, 27, 81, 243...}

Answer:

  y = -5x +4

Step-by-step explanation:

You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).

The graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...

  m = rise/run = -5/1 = -5

The y-intercept is the value of y where the line crosses the y-axis:

  b = 4

These values go into the point-slope equation:

  y = mx +b . . . . . . line with slope m and y-intercept b

  y = -5x +4 . . . . . . line with slope -5 and y-intercept 4

The three types of solutions for systems are:

A consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.

A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.

In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.

Learn more about Types of Solutions here:

https://brainly.com/question/21616442

#SPJ4

Answer:

I'm pretty sure it's either 27, or 12.

Step-by-step explanation:

The real and complex solutions of the polynomial equation are 2,-3i and 3i

Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables

The given polynomial is x³-2x²+9x-18

Factor out x² from  x³-2x² which becomes  x²(x-2)

Factor out 9 from 9x-18 which becomes 9(x-2)

x³-2x²+9x-18

x²(x-2)+9(x-2)

Factor out common term x-2

( x²+9)(x-2)=0

x²+9=0

x=-3i and 3i

x-2=0

x=2

Hence, the real and complex solutions of the polynomial equation are 2,-3i and 3i

To learn more on Polynomials click:

https://brainly.com/question/11536910

#SPJ1

hi add me now or else

In response to the question, we may say that As a result, the orangutan's expression mass in kilogrammes is roughly 64.55 kg.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are widely used in arithmetic, mathematics, and shape. They are employed in the depiction of mathematical formulas, the solving of equations, and the simplification of mathematical relationships.

To convert pounds to kilogrammes, divide the pound weight by the conversion ratio of 2.2.

Hence, to calculate the orangutan's mass in kilos, do the following:

Divide the orangutan's weight in pounds by the conversion ratio of 2.2:

142 pounds divided by 2.2 is 64.54545... kilos (rounded to the nearest hundredth)

As a result, the orangutan's mass in kilogrammes is roughly 64.55 kg.

To know more about expression visit :-

https://brainly.com/question/14083225

#SPJ1

The discriminant of  quadratic equation 3x^2 + 2x + 1 =0 is -8

We know that the standard form of quadratic equation is ax^2 + bx + c = 0, with a ≠ 0

The discriminant of quadratic equation ax^2 + bx + c = 0 is:

D = b^2 - 4ac

Comparing given quadratic equation 3x^2 + 2x + 1 =0 with ax^2 +bx + c = 0 we get,

a = 3, b = 2 and c = 1

So, the discriminant of given equation would be,

D = b^2 - 4ac

D = 2^2 - 4(3)(1)

D = 4 - 12

D = -8

Therefore, the discriminant is D = -8

Learn more about quadratic equation here:

https://brainly.com/question/9549600

#SPJ4

Answer:

we are here, where have you been...???

Answer:

im at ur frien joe's house

Step-by-step explanation:

Answer:

did you type the right question give me the  correct one and i will help

Step-by-step explanation:

Answer:

Estimation: 300 Billion times bigger

Actual: 290 Billion times bigger

Step-by-step explanation:

Lets group the coefficients together and the exponents together.

[tex](\frac{6.1}{2.1})(\frac{10^7}{10^{-4} })[/tex]

We can round 6.1 to 6.

We can round 2.1 to 2.

[tex](\frac{6}{2})(\frac{10^7}{10^{-4} })[/tex]

[tex](3)(\frac{10^7}{10^{-4} })[/tex]

Subtract the exponent from the denominator from the exponent of the numerator.

[tex](3)(10^{7-4*1} )[/tex]

[tex](3)(10^{7+4} )[/tex]

[tex](3)(10^{11} )[/tex]

[tex]3*10^{11}[/tex]

[tex]10^{11}[/tex] is 100 billion.

3 times 100 billion is 300 billion.

Answer:

multiply 17x5=85,85+5=90 so aswer is 90

Step-by-step explanation:

Answer:

17+85 is the answer that I got

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.

Suppose we want to solve the inequality x + 3 > 2.

We can solve this by subtracting 3 from both sides:

x + 3 > 2

x > −1

So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.

Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.

To know more about inequality visit: brainly.com/question/28823603

#SPJ4

Answer:

$899.54

Step-by-step explanation:

To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:

Area = (1/2) * h * (b1 + b2)

where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.

Substituting the given values, we get:

Area = (1/2) * 46 ft * (78 ft + 111 ft)

= (1/2) * 46 ft * 189 ft

= 4274 ft^2

To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:

Cost = 4274 ft^2 * $0.21/ft^2

= $899.54

So the cost of sod for this yard will be $899.54.

Answer:

y = -1

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-1) / 6 - (-4)

0

y = 0x + b

-1 = 0(-4) + b

-1 = 0 + b

-1 = b

Read the link attached.

I have written it down on the word doc

Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

Yes, infinity times 0 is still 0 because if we multiply 0 to any number is 0.

0 * 0 * 0 * 0= 0

Zero is the integer denoted 0 that, when used as a counting number, means that no objects are present. It is the only integer (and, in fact, the only real number) that is neither negative nor positive. A number which is not zero is said to be nonzero. A root of a function f is also sometimes known as "a zero of f."

The Schoolhouse Rock segment "My Hero, Zero" (Multiplication Rock, Season 1, Episode 2, 1973) extols the virtues of zero with such praises as, "My hero, zero Such a funny little hero But till you came along We counted on our fingers and toes Now you're here to stay And nobody really knows How wonderful you are Why we could never reach a star Without you, zero, my hero How wonderful you are."

Zero is commonly taken to have the factorization 0=0·1 (e.g., in the Wolfram Language's FactorInteger[n] command). On the other hand, the divisors and divisor function sigma_k(0) are generally taken to be undefined, since by convention, n|0 (i.e., n divides 0) for every n except zero.

To learn more about Positive number:

https://brainly.com/question/13165973

#SPJ4

Monomial, binomial, and trinomial expressions are all categorized by the number of terms they include.

A polynomial is a mathematical statement made up of coefficients and indeterminates that uses only the operations addition, subtraction, multiplication, and powers of positive integers of the variables.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial with one term is called a monomial. A polynomial having two dissimilar terms is called a binomial. An algebraic expression having three terms is called a trinomial.

For more questions on Polynomials

https://brainly.com/question/30111198

#SPJ4

Answer:

x = 0.16

Step-by-step explanation:

Step 3:

Solve the equation for  x  by finding  a ,  b , and  c  of the quadratic then applying the quadratic formula.

[tex]x = - \frac{11 - \sqrt{185} }{16}[/tex]

Then, evaluate for x:

x = 0.16259190... which is about,

x = 0.16

The length of the spine will be;

⇒ 48.2 cm

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

A kite is shaped like an isosceles triangle.

Now,

Since, A kite is shaped like an isosceles triangle.

Hence, Two sides of a triangle is equal to each other.

Let the length of the spine = x

So, We can formulate by the Pythagoras theorem,

⇒ Hypotenuse² = Base² + Perpendicular²

⇒ 62² = (78/2)² + x²

⇒ 3844 = 39² + x²

⇒ 3844 = 1521 + x²

⇒ 3844 - 1521 = x²

⇒ 2323 = x²

⇒ x = √2323

⇒ x = 48.2 cm

Thus, The length of the spine = 48.2 cm.

Learn more about the triangle visit:

https://brainly.com/question/17335144

#SPJ1

The final answer is 4x, which is the simplest form of expression.

What is the rational exponent?

A rational exponent is an exponent that is in the form of a ratio of two integers, such as a/b where a and b are integers and b is not equal to zero.

To rewrite the expression in simplest rational exponent form, we can first simplify the radicals and then combine any like terms. Here are the steps to simplify the given expression:

4√x* √x = 4 * 1 √x * √x = 4 * x^(1/2) * x^(1/2) = 4 * x^( (1/2)+(1/2) ) = 4 * x^(1)

x^(1) = x

So, the expression in simplest rational exponent form is 4x

x * 4x = 4x

Notice that 4 and x are in the same radical which means 4 is a coefficient of x.

Therefore, 4√x * √x can be written as 4x, which is in the simplest form.

hence, the final answer is 4x, which is the simplest form of expression.

To learn more about rational exponent, Visit

https://brainly.com/question/13669161

#SPJ1

Answer:

10

Step-by-step explanation:

Answer:

<1 = 114

Step-by-step explanation:

<1 = <7 because they're alternate exterior angles.

Since <7 is 114, <1 is also 114.

Answer:

90

Step-by-step explanation:

40% is for 36

(100*36)/40

For the given expression, x has a value of 6.5.

A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.

A number is 6 times larger than the other number, x, by a factor of 2.

The equation x/2 + 6 in mathematics represents this claim.

Here, we have the equation:

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

Find the value of x by solving the expression:

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

-12x + 15 = 2 - 10x

-2x = -13

x = -13/-2

x = 13/2

x = 6.5

Therefore, for the given expression, x has a value of 6.5.

Know more about expressions here:

brainly.com/question/28934492

#SPJ4

Correct question:

What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?