Convert 5460 feet per minute to miles per hour. Round to the nearest whole number

the answer is -14

Hope this helps : )

To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game u welcome

Answer:

the answer is in addition the order of the variables does not matter in the expression

Step-by-step explanation:

i took the test

Using the binomial distribution, it is found that:

For each student, there are only two possible outcomes, either they are left-handers, or they are not. The probability of a student being a left-hander is independent of any other student, hence the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value is:

[tex]E(X) = np[/tex]

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

In this problem:

Then:

[tex]E(X) = np = 10(0.16) = 1.6[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{10(0.16)(0.84)} = 1.16[/tex]

You can learn more about the binomial distribution at https://brainly.com/question/24863377

Answer:

its 12,000

Step-by-step explanation:

We can use the points (-4, -1) and (0, -2) to solve.

Formula: y2-y1/x2-x1

= -2-(-1)/0-(-4)

= -1/4

Best of Luck!

The Calvin has a total of 252 utility coming from Oranges and Starfruit.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given that oranges cost $2 per pound and starfruit costs $5 per pound.

The utility coming from Oranges and Starfruit, therefore he needs to spend his $26 on buying the oranges and starfruit

Since all in all he also spend $23 on it, and still has remaining $3 in his pocket,

Thus his total utility is 252.

Hence, The Calvin has a total of 252 utility coming from Oranges and Starfruit.

Learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

The complete question is

The oranges cost $2 per pound and starfruit costs $5 per pound. calvin has $26 to spend. if calvin buys 4 pounds of starfruit and 3 pounds of oranges, how much is his total utility?

The dimensions of a rectangular field is width = 40 yd and length = 120 yd.

A rectangle is one of the types of quadrilaterals in which all four angles are right angles or equal to 90 degrees. It is four-sided polygon in which the opposite sides are parallel and equal to each other.

For the given situation,

Let the width of the rectangle, w = x

The length is 80 yd longer than the width.

The length of the rectangle, l = x + 80.

The perimeter of a rectangular field = 320 yd.

The formula of perimeter of rectangle is

[tex]P=2(w+l)[/tex]

On substituting the above values,

⇒ [tex]320=2(x+x+80)[/tex]

⇒ [tex]320=2(2x+80)[/tex]

⇒ [tex]2x+80=\frac{320}{2}[/tex]

⇒ [tex]2x+80=160[/tex]

⇒ [tex]2x=160-80[/tex]

⇒ [tex]2x=80[/tex]

⇒ [tex]x=\frac{80}{2}[/tex]

⇒ [tex]x=40[/tex]

Thus width = [tex]40[/tex] and

length = [tex]40+80[/tex]

⇒ [tex]120[/tex]

Hence we can conclude that the dimensions of a rectangular field is width = 40 yd and length = 120 yd.

Learn more about the rectangles here

https://brainly.com/question/15725265

#SPJ2

Answer: C. r+6>45

Step-by-step explanation:

Since, Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.

If she runs r rotations then, for the value of r,  [tex]45\leq r[/tex]

Since, If she has already 6 rotations

Therefore total rotation she has = r+6

Thus, if [tex]45\leq r[/tex] ⇒[tex]45<x+6[/tex]

So, Option C is the correct option.

The inequality of option C r+6 > 45 shows the rotations, r, she would have to run to meet her weekly goal.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Dr. Cheeks tries to run at least 45 rotations on her hamster wheel each week.

She has already 6 rotations but if she runs r rotations then, for the value of r,  45 ≤ r

The total rotation she has = r+6

Thus,  45 ≤ r

= 45 < r + 6

or   r+6 > 45

So, Option C is the correct option.

Learn more about Inequality ;

https://brainly.com/question/20383699

#SPJ3

Answer:

[tex]y=2x+2[/tex]

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

[tex]A(-4,-6)\ B(2,6)[/tex]

Substitute the values

[tex]m=\frac{6+6}{2+4}[/tex]

[tex]m=\frac{12}{6}=2[/tex]

step 2

we know that

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=2[/tex]

[tex]B(2,6)[/tex]

substitute and solve for b

[tex]y=mx+b[/tex] ------> [tex]6=(2*2)+b[/tex]

[tex]6=4+b[/tex]

[tex]b=2[/tex]

The equation of the line is equal to

[tex]y=2x+2[/tex]

The required simplified form of the expression 12x⁵/6x² is 2x³.

Exponential expressions, as the name indicates, involve exponents. We already know that the exponent of a number (base) specifies how many times the number (base) has been multiplied. To answer the exponential expressions, we may need to apply the relationship between exponents and logarithms.

The exponential expression is given in the question as:

12x⁵/6x²

To simplify the expression 12x⁵/6x², we can start by dividing 12 by 6 to get:

12x⁵/6x² = (12/6)x⁵/x² = 2x⁵/x²

Then, we can use the quotient of powers rule, which states that when we divide two powers with the same base, we can subtract the exponents to get:

2x⁵/x² = 2x⁵⁻² = 2x³

Therefore, the expression is 2x³ equivalent to the given expression 12x⁵/6x².

Learn more about exponential function here:

brainly.com/question/11487261

#SPJ5

The true statements for the triangle ABC where DE is perpendicular to AC is given by option D. The segment DE bisects the segment AC.

In triangle ABC, B-D-C, and A-E-C, with E being perpendicular to AC and AE = EC.

A. The segment BD bisects the segment EC.

This statement is false. Since E is the midpoint of AC (AE = EC), and E is perpendicular to AC, B-D-C no relation.

B. The segment ED is congruent to the segment DC.

This statement is not necessarily true. We only know that AE = EC, which implies that DE = EC since E is the midpoint of AC. However, we don't have enough information to conclude that ED is congruent to DC.

C. The segment BD is perpendicular to the segment EC.

This statement is not necessarily true. While we know that E is perpendicular to AC, it does not imply that BD is perpendicular to EC.

The perpendicularity of BD and EC depends on the specific configuration of the triangle, and the given information is not sufficient to determine this relationship.

D. The segment DE bisects the segment AC.

This statement is true. Since E is the midpoint of AC (AE = EC), DE passes through E and will indeed bisect AC.

Therefore, the true statements for the given triangle is

option D. The segment DE bisects the segment AC.

learn more about triangle here

brainly.com/question/2773823

#SPJ2

This is a word problem which requires basic logic or understanding to solve. We can write the equation:

2 x + 13 = 3 x – 2

So calculate for x:

3 x – 2x = 13 + 2

x = 15

Therefore the number is 15.

Final answer:

The completing-the-square method allows rewriting quadratic functions to determine the vertex. The coefficient of the squared term determines if the vertex is a minimum or maximum.

Explanation:

The completing-the-square method allows us to rewrite quadratic functions in a form that reveals the vertex of the parabola. To determine if the vertex is a minimum or a maximum, we need to consider the coefficient of the squared term. In the function f(x) = –(x + 4)² + 2, the coefficient is negative, indicating that the parabola opens downwards, and the vertex is a maximum. In the function g(x) = (x − 2)² − 2, the coefficient is positive, indicating that the parabola opens upwards, and the vertex is a minimum.

Answer:

7 units

Step-by-step explanation:

The length of the midsegment of this trapezoid will be 7 units.

What is mean by Rectangle?

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

The coordinates of the vertices of the trapezoid are,

A = (-2, 4)

B = (4, 3)

C = (4 , -5)

D = (- 2, - 2)

Now,

Since, We know that;

The length of the midsegment of a trapezoid is always equal to the half of the sum of the parallel sides.

Here, Line AD and BC are parallel lines.

And, The length of AD = √(- 2 - (-2))² + (- 2 - 4)²

                                   = √-6²

                                  = 6

And, The length of BC = √(4 - 4)² + (- 5 - 3)²

                                   = √-8²

                                   = 8

Thus, The length of the midsegment of this trapezoid = (6 + 8)/2

                                                                                    = 14/2

                                                                                    = 7 units.

Therefore, The length of the midsegment of this trapezoid will be 7 units.

Learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ6