factor 4a^2-b^2-2a+b

Answer:

3.2 km/h

Step-by-step explanation:

1. Approach

The average speed is the rate at which one travels. It can be found by diving the total distance traveled over the total time it took to cover that distance. In essence, the following formula can be used to find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

In this situation, one is asked to find the difference between two people's average speed. One is given the following information:

Lena: 24 miles          1.5 hours

Ras:   36km               1 hour 15 minutes

First, convert all of the numbers into the correct units (km) and (hours). Then find the average speed for each person. Finally, subtract the smaller speed from the larger speed to find the difference in the average speeds.

1. Find Lena's average speed

The problem asks one to find the average speed in the units (km/h). However, the distance Lena covered is given in (miles). Therefore, one has to multiply it by the conversion factor (1.6) in order to convert it from (miles) to (km).

24miles * 1.6 = 38.4

Now find the average speed by using the formula:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{38.4}{1.5}\\\\=25.6[/tex]

2. Find Ras's average speed

Use a similar approach to work out Ras's average speed, as was used to find Lena's average speed. Since Ras's time spent is given in both hours and minutes, one must convert it to just minutes. There are (60) minutes in an hour, thus, one can rewrite the number as the following:

[tex]1\ hour \ \ 15\ minutes= 1 \frac{15}{60}\ hours = \frac{75}{60}\ hours[/tex]

Now find the average speed:

[tex]\frac{total\ distance}{total\ time}=average\ speed[/tex]

Substitute,

[tex]\frac{36}{\frac{75}{60}}\\\\=28.8[/tex]

3. Find the difference between the speeds

Since Ras's speed is greater, subtract Lena's speed from Ras's speed.

Ras - Lena

= 28.8 - 25.6

= 3.2

Answer:

2m + 6 < 20

Step-by-step explanation:

A flat $6 plus $2 per mile is represented as 2m + 6, with m as the number of miles you can go.

This 2m + 6 must be LESS THAN Michael's $20. Therefore, this gives us:

2m + 6 < 20

2m: $2 per mile

6: the initial cost

20: how much money Michael has

Answer:

7

Step-by-step explanation:

First solve what is in the parentheses.

-5+3(4)

Multiply 3 by 4.

-5+12

Subtract/add

7

I hope this helps!

Answer:

51

Step-by-step explanation:

1. Approach

One is given the polygon, (ABCDE); the problem asks one to find the area of this polygon. The most logical step to take is to divide this polygon into easier parts, find the area of each part, and then add up the area to find the total area of the figure.

One way to divide this figure up is to draw the line (AC). This will create the triangle (ABC) and rectangle (ACDE).

2. Find the area of (ABC)

The formula to find the area of a triangle is the following:

[tex]A=\frac{b*h}{2}[/tex]

Where (b) is the base of the triangle, and (h) is the height. The base of the triangle (ABC) is (AC), which has a measure of (6) units. The height of the triangle is the distance from the base of the triangle to the vertex opposite the base. This measurement is (3) units. Substitute these values into the formula and solve for the area:

[tex]A=\frac{b*h}{2}[/tex]

Substitute,

[tex]A=\frac{6*3}{2}\\\\A=\frac{18}{2}\\\\A=9[/tex]

3. Find the area of (ACDE)

The formula to find the area of a rectangle is as follows:

[tex]A=b*h[/tex]

The base of the rectangle is the segment (AE), with a measure of (7) units. The height of the rectangle is the segment (AC) with a measurement of (6) units. Substitute these values into the formula and solve for the area:

[tex]A=7*6\\\\A=42[/tex]

4. Find the area of the total figure

To find the area of the total figure, add up the area of the triangle, and the area of the rectangle:

[tex]9+42= 51[/tex]

Answer:

36

Step-by-step explanation:

9×4=36 so money spent will be 36 dollars

Answer:

Caroline has to pay $8600 taxes

Jennifer has to pay $10320 taxes

Step-by-step explanation:

I guess the question is who has to pay how much taxes, right ?

Caroline earns $49000, and I guess, she belongs to a health fund.

she has to pay $5000 for the first $40000.

and for the remaining $9000 she has to pay $0.40 per dollar.

that means 9000×0.4 = $3600

and no penalties for no health fund.

so altogether $5000 + $3600 = $8600 taxes

Jennifer earns $51000 and did not belong to a health fund.

she has to pay $9000 for the first $50000.

and for the remaining $1000 she had to pay $0.30 part dollar.

that means 1000×0.3 = $300

and 2% of the total income because no health fund

51000×0.02 = $1020

so, altogether $9000+$300+$1020 = $10320 taxes

Answer:

6 Tickets

Step-by-step explanation:

$12.00 = 1 Ticket

$94.00 = Food they bought.

$166.00= Spent total

166-94=72

$72.00= 6 Tickets

Answer:

3, 1, –1, –3, ... arithmetic

4, 3, –3, –4, … neither

2, -1, ½,-¼ ... geometric

Step-by-step explanation:

3, 1, –1, –3, ...

We are subtracting 2 from the previous term

This is an arithmetic sequence

4, 3, –3, –4, …

There is no number that we can add to each term to get the next

There is no number that we can multiply to each term to get the next

neither

2, -1, ½,-¼ ...

We can multiply by -1/2 to get the next term

This  is a geometric sequence

I assume the series is supposed to be

[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)}[/tex]

The summand can be expanded into partial fractions:

[tex]\dfrac6{n(n+3)}=\dfrac an+\dfrac b{n+3}[/tex]

[tex]\implies 6=a(n+3)+bn=(a+b)n+3a[/tex]

[tex]\implies\begin{cases}a+b=0\\3a=6\end{cases}\implies a=2,b=-2[/tex]

Then the sum is equivalent to

[tex]\displaystyle2\sum_{n=1}^\infty\left(\frac1n-\frac1{n+3}\right)[/tex]

Consider the N-th partial sum of the series:

2[(1 - 1/4) + (1/2 - 1/5) + (1/3 - 1/6) + (1/4 - 1/7) + (1/5 - 1/8) + …

+ (1/(N - 3) - 1/N) + (1/(N - 2) - 1/(N + 1)) + (1/(N - 1) - 1/(N + 2)) + (1/N - 1/(N + 3))]

Each of the negative terms (in bold) will have a positive counterpart (underlined) that cancel, so the N-th partial sum would be

[tex]\displaystyle\sum_{n=1}^N\frac6{n(n+3)} = 2\left(1+\frac12+\frac13-\frac1{N+1}-\frac1{N+2}-\frac1{N+3}\right)[/tex]

As N approaches infinity, the last three terms in the sum converge to 0, so the original sum converges to

[tex]\displaystyle\sum_{n=1}^\infty \frac6{n(n+3)} = 2\left(1+\frac12+\frac13\right) = \boxed{\frac{11}3}[/tex]

Answer:

[tex]y=\frac{5}{2} \:x[/tex]

Step-by-step explanation:

A line with the highest absolute value of slope has the steepest graph

from the option, the highest is 5/2 so, y = 5/2 x is your answer.

OAmalOHopeO

Answer:

Y=5/2x

Step-by-step explanation:

The steepest graph is the one with the largest slope (m) this is because slope is rise over run so the larger the slope the steeper the graph. Hope this helps.

Answer:

2k = 10m+4m=3

2k =14m=8.4

The solution of the given equation is 2k + 4m​ = 32

An equation represents equality of two or more mathematical expression.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Solutions to an equation are those values of the variables involved in that equation for which the equation is true.

We are given the equation as;

2k + 4m​

When k = 5

m = 3

Solving ;

2k = 2 (5) = 10

4m = 4(3) = 12

Then 2k + 4m​ = 10 + 12 = 32

Learn more about solving equations here:

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Step-by-step explanation:

Algunos aspectos importantes que debes incluir en tu informe son los siguientes:

Para saber cual es el sistema de riego mas adecuado debemos hacer un análisis primero de las necesidades y requerimientos del cultivo o vegetación ,asi como saber con exactitud cuales son las dimensiones del terreno y las condiciones del clima del lugar.

Lo anterior nos ayudara a elegir  un sistema de riego adecuado que nos permita suplir las necesidades de nuestro cultivo y a la vez reducir costos .

De los métodos de riego que existen ,los sistemas  automatizados e informatizados surgen como una gran alternativa para controlar el uso del agua a la vez que permite disminuir costos por el gran ahorro que representa, así mismo este tipo de riego permite una mejor distribución del recurso hídrico por toda el área.

Por lo general estos sistemas de riego están centralizados en un único punto de control lo que facilita su mantenimiento así como la prevención de futuras anomalías que se pudieran presentar.

Answer:   30 billion = 30 arab

Step-by-step explanation:

30 billion = 30 arab

Given:

The function is:

[tex]f(x)=\sqrt{x-3}[/tex]

To find:

The inequality that is used to find the domain of the given function.

Solution:

We have,

[tex]f(x)=\sqrt{x-3}[/tex]

We know that the radical functions are defined for only positive values of radicand.

It means the given function is defined if the value of (x-3) is greater than or equal to 0.

[tex]x-3\geq 0[/tex]

Adding 3 on both sides, we get

[tex]x-3+3\geq 0+3[/tex]

[tex]x\geq 3[/tex]

The inequality [tex]x-3\geq 0[/tex] is used to find the domain of the given function and the domain of the given function is [tex]x\geq 3[/tex].

Therefore, the correct option is B.

Answer:

I hope D option write

I hope you help

plz Mark the brain list answer

Answer:

i think it's 52

Step-by-step explanation:

Answer:

1 3/20

Step-by-step explanation:

23/20

Rewrite

20/20 + 3/20

1 3/20

Answer:

the answer for ratio 16 to 14 = 1:3

Step-by-step explanation:

16:48

8:24

4:12

1:3

Answer: $3,664.21

Formula: [tex]A=Pe^{rt}[/tex]

Substitute in the values:

[tex]A=(3000)e^{(0.04)(5)} =(3000)e^{0.2} =(3000)(1.2214)=3664.208[/tex]

Approximately $3,664.21

I think this is how you solve it o_O

Approximately there will be $3,664 in your account in 5 years.

What is compound interest?

The interest on a loan or deposit that is calculated using both the initial principal and the accrued interest from prior periods is known as compound interest.

Simple math may be used to demonstrate this: If you have $100 and it generates 5% interest annually, you will have $105 at the end of the first year. You will wind up with $110.25 at the conclusion of the second year.

Solution:

Since interest is compounded continuously, we need to find the future value.

A = Pe^rt, where:

P is the initial deposit

r  is the rate of interest

t is the time period of deposit

A is the future value

Given,

P = $3000

r = 4%

t = 5 yrs

Therefore, future value(A) = 3000 × e^(0.03)×(5)

                                         = 3664

Hence you will have $3664 in your account approximately.

Learn more about "Compound Interest" here-

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Answer:

Option 3

Step-by-step explanation:

Given:

AB ≅ CD

Point P lies on AB and point Q lies on CD.

∠APO = ∠DQO = 90°

By theorem, if two chords in a circle are equal in measure, then they will be equidistant from the center.

Therefore, OP and OQ will be congruent.

Option (3) will be the answer.

90°

that is the procedure above

I think 90° because it looks like a right angle

If this is incorrect forgive forgive me plz

Answer:

add an attachm3nt to make iy clear

Answer:

D.

Step-by-step explanation:

The subtraction property involves subtracting the same number that is subtracted from one side of the equal sign and also subtracting same from the other side of the equal sign

For example: y + 3 = 2

To apply the subtraction property, subtract 3 from each side. Thus:

y + 3 = 2 - 3

From the given equation solved, the subtraction property was not applied in any of the steps shown.

Answer:D.)The addition property of equality was not applied to solve this equation

Answer:

y=6

Step-by-step explanation:

if a slope is 0 than its just y=b. I hope u have a good day

Answer:

35/12

Step-by-step explanation:

Opposite / adjacent