Find the slope of each line and then determine if the lines are parallel perpendicular or neither.If a value is not an integer type it in as a decimal rounded to the nearest hundredth.

Given:

Accumulation rate = 0.5 inches per hour

time = 24 minutes

First, convert minutes into hours:

1 hour = 60 minutes

24 / 60 = 0.4 hours (divide by 60)

Now, simly multiply the rate by the number of hours

0.5 in/h x 0.4 h = 0.2 in

Answer: 0.2 inches

SOLUTION

The rational root theorem, also called rational root test theorem state that for a polynomial equation in one variable with integer coefficients to have a solution (root) that is a rational number, the leading coefficient (the coefficient of the highest power) must be divisible by the denominator of the fraction and the constant term (the one without a variable) must be divisible by the numerator.

Given the polynomial

The factor of the constant term is

The factors of the Leading coefficient are

The root of the p(x) are

hence , the possible root of p(x) are

Hence

root of p(x) are 2/3, -2, and 1

In the given figure,

There are non-parallel lines,

Hence these angles are formed by the non-parallel lines.

This means they do not have any relation, i.e., they are not necessarily congruent to each other.

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We have the next

The possible values of 'a' for this are

the value of a could be all the values between -3 and 3 including -3 and 3

ANSWER

[-3,3]

The rate of the boat when it's still in water is 7mph.

Based on the information, one can denote that the travel times are the same. The formula to calculate the rate will be:

d1/v1 = d2/v2

where

v = rate

d = distance of miles.

This will be:

t = 16/(v - 3) = 40/(v + 3)

Cross multiply

40(v - 3) = 16(v + 3)

40v - 120 = 16v + 48

Collect like terms

40v - 16v = 48 + 120

24v = 168

Divide through by 24

24v/24 = 168/24

v = 7 mph

The rate is 7mph. This shows the concept of the calculation for rate.

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10.0

Explanation

an arithmetic sequence is given by the expression

in the graph , to know the value of the 7 th terms, we need to take the value that y takes, when x= 7

so

therefore, the answer is

10.0

I hope this helps you

Answer:

8/3 or 2.67

Step-by-step explanation:

your explanation is in the image below hope this helps sorry if wrong

Answer:

41

Step-by-step explanation:

Explanations:

The given equation is:

3(5 - p) - 2(5 + p) = 3(p + 1)

Step 1: Expand all the brackets

15 - 3p - 10 - 2p = 3p + 3

Step 2: Collect like terms ( That is, let everything that has p go together)

15 - 10 - 3 = 3p + 3p + 2p ( Note that the sign changes when anything crosses the equality sign)

2 = 8p

Step 3: Divide both sides by 8

2/8 = 8p/8

1/4 = p

p = 1/4

p = 0.25

By using the property of linear pair we can prove that m∠2=m∠3 .

Let us use the template that is provided to find the solution.

1. ∠1 and ∠2 are supplementary           (Linear pair)

 ∠3 and ∠4 are supplementary.

2.m∠1 + m∠2 = 180°                        (definition of supplementary angles.)

3.m∠3 + m∠4 = 180°                        (definition of supplementary angles.)

4.m∠1 + m∠2 = m∠3 + m∠4            (Substitution property)

or, m∠1 + m∠2 = m∠1 + m∠3

5. m∠1 =m∠4                                    (given)

6. m∠2 = m∠3                                  ( Subtraction property)

Therefore we can see that the two angles are equal due to the properties of linear pair and substitution property.

A linear pair of angles is formed when two  straight lines intersect at only 1 single point. The angles are known to be a linear pair  if they exactly follow the point where the two straight lines intersect only in a straight line. The sum of the angles in a pair of linear equations is always equal to 180°.

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Answer:

-2

Step-by-step explanation:

The y intercept is where the line crosses the y axis.  It crosses at the point (0,-2)

we get that the function is x-10, and the values to replace are: -1,0,1,2

so the answer is:

The planets orbit around stars. Our solar system is an example of that, all the planets in our system orbit around a star, the Sun.

Hence, the answer is stars.

No, the table does not represent a linear function

Explanation

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. it has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y

Step 1

graph

so, the graph does not represent a linear function , Also

the volume of a cube is given by

the exponent of the function is 3, and for a linear function the exponent in the varialbe must be 1,

After solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

What is equation?

In mathematics, the statement based problems can be solved by forming the equation. And it consists of dependent variable as well as independent variable.

According to the question, the given parameter states that the Jay and Blair together they caught 27 fishes. And Jay caught 2 times as many fish as Blair.

Therefore, the equation can be written for the given statement is as follows:

J + B = 27

J = 2B

Substituting the above value in the formed equation, we get:

3B = 27 ⇒ B = 9

And, J = 2(9) = 18

Hence, after solving equation, the number of fish caught by Jay is 18 fishes and Blair is 9 fishes.

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Answer:

Explanation:

The value that completes the probability distribution is 0.22

The distribution of the discrete probability distribution is given as

x         3     4    5      6

P(x) 0.24  ?  0.28  0.26

Represent the blank value in the distribution with the variable y

So, we have the following representation:

P(x) 0.24  y  0.28  0.26

The sum of probabilities in a distribution is 1

So, we have

0.24 +y + 0.28 + 0.26 = 1

Evaluate the sum

y + 0.78 = 1

Evaluate the like terms

y = 0.22

Hence, the missing value is 0.22

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Answer:

B. Zero

Explanation:

The solutions of the system of equation are the points where the graph intersect. In this case, the red function and the blue function doesn't cross each other. So, the system formed by these non linear equations has no solutions.

Therefore, the answer is:

B. Zero

Answer:two

Step-by-step explanation:

I'll pick uo two points from the table.

P1 = (5, 11)

P2 = (7, 13)

1.- Find the slope

slope = (y2 - y1) / (x2 - x1)

Substitution

slope = (13 - 11) / (7 - 5)

Simplification

slope = 2/2

Result

slope = 1

2.- Find the equation of the line

y - y1 = m(x - x1)

Substitution

y - 11 = 1(x - 5)

Simplification

y = x - 5 + 11

Result

y = x + 6

This is the answer to your question

The percentage increase of the airline ticket is 45.24%

The concept of percent increase is basically the amount of increase from the original number to the final number in terms of 100 parts of the original. An increase of 5 percent would indicate that, if you split the original value into 100 parts, that value has increased by an additional 5 parts.

Mathematically, the percentage increase of a quantity can be written as

[tex]\% increase =\frac{change in quantity}{original quantity} * 100[/tex]

Let's substitute the values given into the equation and find the percentage increase.

[tex]\% increase =\frac{change in quantity}{original quantity} * 100\\\% increase = \frac{305 - 210}{210} *100\\\% increase = 45.24\%[/tex]

The increase in percentage of the ticket price is 45.24%

If the airline charges an additional $50 with the new ticket price, the percentage increase will remain the same because assuming the baggage fees is also applicable to the old price, there won't be an change in the percentage increase.

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If we have a number X and we multiply it by a power of 10, then:

Example:

x = 7 and we want to multiply it by 1,000

Another example:

x = 27 and we want to multiply it by 1 million

The speed of plane in still air is 150 miles per hour.

What is speed?

Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

speed = distance/time

Let s = speed in still air

then(s-70) = ground speed against the wind

and

(s+70) = ground speed with the wind

Write a time equation; time = distance/speed

time against = time with still air

280/(s-30) = 420/(s+30)

Cross multiply

420(s-70) = 280(s+70)

420s - 29400 = 280s + 19600

420s-280s = 19600+29400

140s=49000

s = 49000/140

s = 350 mph

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The Area of the composite shape is the sum of the areas of the triangle and that of the square

Area of square = length x breadth =>

Area of Traiangle = 1/2 (base x height)

=>

Total students: 258

Students that rode in cars = 30

258 - 30 = 228 students left

There are 4 busses ( assuming that each bus has the same number of students)

Students in each bus = students left / number of buses = 228 / 4 = 57

Answer: 57 Students

Step-by-step explanation:

56.28 is the awnser to 10.05x5.6

A rational number is a number that is the form p/q where p and q are integers, and q is not equal to 0.

So, in this case, we have:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

We can rewrite this number as the division of two integers like this:

Therefore, all given numbers are rational because they can be expressed in the form p/q where p and q are integers, and q is different from zero.

We apply the secant-angle theorem,

Then,

Therefore, x=75 degr

By Green's theorem,

[tex]\displaystyle \oint_C x^2y^2 \, dx + (x^2-y^2) \, dy = \iint_{[0,1]^2} \left(\frac{\partial(x^2-y^2)}{\partial x} - \frac{\partial(x^2y^2)}{\partial y}\right) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \int_0^1 (2x - 2x^2y) \, dx \, dy \\\\ ~~~~~~~~ = \int_0^1 \left(1-\frac23 y\right) \, dy \\\\ ~~~~~~~~ = 1 - \frac13 = \frac23 \approx \boxed{0.67}[/tex]

From the diagram, the angles that are not congruent to the angle < 3, are

If Mindy worked on her proyect and hour and a half, it means she took 90 minutes.

Thereby, Mindy worked on her project 15 minutes more than Tyler.