(b) Factorise fully.
10x²+6x

Answer:

The equation that best models this situation is : b.

Distance traveled by Train W = 1600 miles

Distance traveled by Train Z = 2,000 miles

Step-by-step explanation:

Given:

Time taken for Train W to complete a trip = 20 hours

Time taken for Train Z to complete a trip = 25 hours

The city Train Z is traveling to is 400 miles farther away than the city Train W is traveling to.

both trains have same speeds and start from same location.

To find the distance in total each train travels.

Solution:

Let length of the trip of Train W be =  miles

Speed of Train W can be given as :

⇒

⇒

So, the length of the trip of Train Z will be =  miles

Speed of Train Z can be given as :

⇒

⇒

Since the speeds are same, so the equation to find  can be given as:

⇒

Solving for

Multiplying both sides by 100 to remove fractions.

⇒

⇒

Using distribution.

⇒

Subtracting both sides by

⇒

⇒

Thus, Distance traveled by Train W = 1600 miles

Distance traveled by Train Z =  = 2,000 miles

The number of bears living in the area after 17 years is; 22555

We are given the function;

f(t) = 103/(1 + 26e^(-0.31t))

Where f(t) is a function that models the number of bears living in the area after t period of years.

Thus, to find the number of bears living in the area after 17 years, we will just substitute 17 for t in the given function to get;

f(17) = 103/(1 + 26e^(-0.31*17))

f(17) = 103/0.00456653759

f(17) ≈ 22555 bears

Read more about Exponential functions at; https://brainly.com/question/2456547

#SPJ1

Answer:

The percent for games that were won is 59.375%.

Step-by-step explanation:

Answer:

If it has exactly three sides, then it is not a rectangle.

Step-by-step explanation:

R ------> non T

is the same as

T ------> non R

If the three sides are equal then it will not be a rectangle will be the logically equivalent statement.

A rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

In a rectangle opposite sides are equal but if the three sides are equal then it will become a square rather than a rectangle.

So, If the three sides are equal then it will not be a rectangle and it will be equivalent to the given statement.

Hence "If the three sides are equal then it will not be a rectangle will be the logically equivalent statement".

For more about rectangles,

https://brainly.com/question/15019502

#SPJ6

Answer:

0,1,2,3,4,5

Step-by-step explanation:

You can not buy more than 5 books because you'd have a negative amount of money. So 0,1,2,3,4,5 are the possible values for b.

Answer:

101

Step-by-step explanation:

let the number be n then 3 times the number is 3n and

5 + 3n = 308 ( subtract 5 from both sides )

3n = 303 ( divide both sides by 3 )

n= 101

The number is 101

The new coordinates are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

A 180 degrees rotation denoted by R(180, 0) is a rotation that has the same effect as the 180 degrees counterclockwise of a figure.

And it has the algebraic rule of its rotation to be changed from (x, y) to (-x, -y) i.e  (x, y) ⇒ (-x, -y)

The coordinates of the parallelogram are given as

M(1, 7), N(8, 5), O(4, 2), and P(-3, 4)

The rotation is given as 180° rotation

As mentioned above,

We have (x, y) ⇒ (-x, -y)

Substitute M(1, 7), N(8, 5), O(4, 2), and P(-3, 4) in (x, y) ⇒ (-x, -y)

So, we have

M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Hence, the coordinates of the image are M'(-1, -7), N'(-8, -5), O'(-4, -2), and P'(3, -4)

Read more about rotation at

https://brainly.com/question/12508456

#SPJ1

1/5 of 80 is the same as dividing 80 by 5, then it is:

\(1/5\\of\\80\)

To find 1/5 of 80, we need to divide 80 by 5:

\(80/5\)

\(=16\)

Hope this helps!

Step-by-step explanation:

it is just a line covering all values smaller than -8 (that means left of -8).

so, it is a line starting at -8 and going all the way to the left (to the arrow on the left). and you make an empty (hollow) dot at -8, because the value -8 is not included (otherwise it would be p <= -8, and it would be a filled dot at -8).

Answer:

-∞ < x < 4

Step-by-step explanation:

→ The graph touches the y axis at 4, therefore 4 part of the range. As h ( x  ) has a vertical asymptote it will never touch the line x = 1, therefore -∞.

When dividing 456.3 by 100, how should the decimal point be moved is:

Decimals are numbers that have two components, a whole number component and a fractional component, which are separated by a decimal point. 12.5 is a decimal number, for instance.

In mathematics, the decimal system—also known as the Hindu-Arabic number system or the Arabic number system—is a positional numeral system that uses 10 as its base and calls for the use of 10 different numbers, including 0, 1, 2, 3, 4, 5, 6, 7, and 8. To indicate decimal fractions, a dot (decimal point) is also necessary.

We use decimals on a daily basis when dealing with things like money, weight, and length. Decimal numbers are used when higher accuracy is required than full numbers can provide.

To learn more about Decimal refer to :

https://brainly.com/question/1827193

#SPJ1

Answer:

3053 in^3

Step-by-step explanation:

volume of a sphere is 4/3*pi*r^3

Diamaeter is 2*r

so r=9

7/3*(3.14)*9^3=3053.63 so answer is D or the bottom

The lowest-degree polynomial function with the given graph and intercepts can be represented by the equation: y = x - 2.

The graph shows two intercepts, one at x = -2 and another at x = 2. To find the equation of the polynomial function, we can use the fact that the intercepts of a polynomial function occur when the function's value is equal to zero. Thus, we need to find a polynomial function that equals zero at x = -2 and x = 2.

Since we want the lowest-degree polynomial function, we know that it will be a linear function. A linear function can be represented by the equation y = mx + b, where m is the slope and b is the y-intercept. In this case, we can see that the y-intercept is at y = -2, so the equation starts as y = mx - 2.

To find the slope, we can use any two points on the graph. Let's choose the intercepts at (-2, 0) and (2, 0). The slope between these two points is (change in y)/(change in x) = (0 - 0) / (2 - (-2)) = 0/4 = 0.

Therefore, the equation of the lowest-degree polynomial function with the given graph and intercepts is y = x - 2.

Learn more about polynomial here:

https://brainly.com/question/11536910

#SPJ11

It will take to reach their first stop in 5 hours 43 minutes.

How to solve word problems?

Solve word puzzles on a regular basis, teach students how to solve problems, Model or visualise the issue, Make that they specify the question at hand, Take the numbers off, Select the appropriate action for the circumstance.

Speed = Distance/ time

Distance / Speed = Time

= 350 mi / 70 mph

= 5.7142 hours

= 0.7142 hours

≈ 60(0.7142)

≈ 5 hours 43 minutes

Hence, The trip takes 5 hours and 43 minutes to reach their first stop.

To know more word problems about check the below link:

https://brainly.com/question/13818690

#SPJ4

Answer:

2x1 mabe

Step-by-step explanation:

im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me

Answer:

  47.5 cm

Step-by-step explanation:

You want the height of a trapezoid with bases of lengths 135 cm and 105 cm, and an area of 5700 cm².

The formula for the area of a trapezoid is ...

  A = 1/2(b1 +b2)h

Filling in the given values, we have ...

  5700 = 1/2(135 +105)h

  5700 = 120h

  h = 5700/120 = 47.5

The height of the tabletop is 47.5 cm.

<95141404393>

Answer:

4/5

Step-by-step explanation:

In y = Mx + b, m is the slope therefore it’s 4/5

Answer:

x=5y+15 4

or y=4/5 x−3

Step-by-step explanation:

A variable is any property, number, or quantity that can be measured or counted. Variables can also be referenced as data items.

Inference: Inference uses selected samples from a population to estimate the properties of unknown people.

A record (or record) is a collection of data. For tabular data, a record corresponds to one or more database tables, each table column represents a specific variable, and each row corresponds to a particular record in that data set.

Therefore:

All the data collected in particular is referred to as Data Set.

More similar problems related to the data set are solved in the link below.

https://brainly.com/question/16300950?referrer=searchResults

#SPJ4

Two positive angles that have a sum of π/2 radians are complementary angles, whereas two positive angles that have a sum of π radians are supplementary angles.

Complementary angles are two angles whose measures add up to a right angle, which is equal to π/2 radians or 90 degrees. In other words, if α and β are complementary angles, then α + β = π/2.

Supplementary angles, on the other hand, are two angles whose measures add up to a straight angle, which is equal to π radians or 180 degrees. If α and β are supplementary angles, then α + β = π.

Learn more about  supplementary angles. here:

brainly.com/question/18362240

#SPJ11

Answer:Simplifying

3(2w + -7) = 3

Reorder the terms:

3(-7 + 2w) = 3

(-7 * 3 + 2w * 3) = 3

(-21 + 6w) = 3

Solving

-21 + 6w = 3

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '21' to each side of the equation.

-21 + 21 + 6w = 3 + 21

Combine like terms: -21 + 21 = 0

0 + 6w = 3 + 21

6w = 3 + 21

Combine like terms: 3 + 21 = 24

6w = 24

Divide each side by '6'.

w = 4

Simplifying

w = 4

Step-by-step explanation:

AnswerAnswerAnswerAnswerAnswerAnswerAnswer

:) ·g o o d l u c k ·

You have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.

When selecting your schedule in school, you have to choose one math course from the three options, one English course from the four options, one science course from the two options, and one history course from the two options. To find out how many different schedule options you have, you need to multiply the number of options for each subject. So, you have:
3 options for math x 4 options for English x 2 options for science x 2 options for history = 48 possible schedule combinations.
Therefore, you have 48 different choices for your schedule if you need to select one math, one English, one science, and one history course. It's important to note that this calculation assumes that there are no restrictions or prerequisites for the courses, and that all options are available to all students.
To determine the number of possible schedules, you need to multiply the number of choices for each subject together. You have three math courses, four English courses, two science courses, and two history courses. The formula for calculating the total number of choices is:
Total choices = (Math choices) x (English choices) x (Science choices) x (History choices)
Total choices = (3) x (4) x (2) x (2) = 48
So, you have 48 different possible schedules when selecting one math, one English, one science, and one history course.

To know more about School visit:

https://brainly.com/question/29161987

#SPJ11

Answer:

2.) 131

3.) 162

Step-by-step explanation:

A triangle equals 180 subtract the two give numbers and you will get your answer.

To check add all the number to see if you get 180

Answer:

36

Step-by-step explanation:

36. Follow GEMDAS. Groping symbols, exponents, multiplication, division, addition, subtraction. 6^3 equals. 6 times 6 times 6. Which is 216. 216-9 is 207. 207 divided by 23 is 9. 9times 4 is 36.

Answer:

36

Step-by-step explanation:

36. Follow GEMDAS. Groping symbols, exponents, multiplication, division, addition, subtraction. 6^3 equals. 6 times 6 times 6. Which is 216. 216-9 is 207. 207 divided by 23 is 9. 9times 4 is 36.

The open interval(s) where the following function is increasing and decreasing are respectively;  (-∞, 3) and (3, ∞)

From the graph, we can say that the function is increasing if as x increases, the value of y also increases. However, if the value of y decreases as x increases, then we can say that the function is decreasing.

Now, from the graph, we see that for values of x from negative infinity to 3, the value of y keeps increasing to zero.

Now, from the graph we see that for values of x from 3 to positive infinity, the values of y keep decreasing to negative infinity.

Thus, we can say the function is increasing on the interval (-∞, 3) and decreasing on the interval (3, ∞)

Read more about Function interval at; https://brainly.com/question/1503051

#SPJ1

Answer: Each paper clip is \(1\frac{1}{3}\)

Step-by-step explanation:

Simply divide how long the notebook is, by how many paper clips there are, \(10\frac{2}3}\) divided by 8.

Answer:

Step-by-step explanation:

Hope this help

Answer:

C. Exchange the $100 bill for ten $10 bills.

Since the money is to be divided among 4 people, it is easier to divide it if the money is in equal denominations. Therefore, the first step should be to exchange the $100 bill for ten $10 bills, so that each person can receive an equal share of $25. This way, we can avoid having to deal with different denominations while dividing the money among the four people.

Answer:D

Step-by-step explanation:

Answer:

I think it's the last one, the one that have month 4,6,8.

Step-by-step explanation:

True:

Her lowest score is 40

(one of them)