Add the polynomials:
2a+3b+5a-7b Explain your response

Answer:

Any number in the form of p/q where p and q are integers and q is not equal to 0 is a rational number.

So, 323.2685109 is IRRATIONAL number.

The distance around the track along the inside edge of each lane is 614.44 yd for lane 1, 634.88 yd for lane 2, 655.32 yd for lane 3, 675.76 yd for lane 4, 696.20 yd for lane 5, 716.64 yd for lane 6, 737.08 yd for lane 7 and 757.52 yd for lane 8.

The distance around the track along the inside edge of each lane can be calculated using the following formula:

Distance = (2 × 44 yd) + (2 × π × radius)

where the radius is equal to 44 yd + (lane number × 10 yd).

For lane 1, the radius is equal to 44 yd + (1 × 10 yd) = 54 yd. Therefore, the distance around the track along the inside edge of lane 1 is (2 × 44 yd) + (2 × π × 54 yd) = 614.44 yd.

The same calculation can be done for the other lanes, with the radius increasing by 10 yd for each lane. The radius for lane 2 is 64 yd, for lane 3 is 74 yd, for lane 4 is 84 yd, for lane 5 is 94 yd, for lane 6 is 104 yd, for lane 7 is 114 yd and for lane 8 is 124 yd.

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The region bounded by the curves y = ln(bx), y = 0, and x = e/b has a finite area, which can be calculated using definite integration.

1) The x-axis (equation 2: y = 0)

2) The curve represented by equation 1 (y = ln(bx))

3) The vertical line represented by equation 3 (x = e/b)

     ^

     |

     |     ╭───────┐

     |     │       │

     |     │       │

     |     │       │

     |     │       │

     |     │       │

     |     └───────┼───────────────────►

     |             |

     +---------------------------->

             x-axis

The given region is bounded by the x-axis (y = 0), the curve y = ln(bx), and the vertical line x = e/b. To calculate the area of this region, we can integrate the difference between the upper and lower curves with respect to x within the given bounds.

First, we find the intersection point of the curves y = ln(bx) and y = 0. Since y = 0 represents the x-axis, we set ln(bx) = 0 and solve for x. This yields bx = 1, and consequently, x = 1/b.

x = 0 to x = 1/b.

The upper curve is y = ln(bx) and the lower curve is y = 0.

Thus, the area can be calculated as the definite integral from 0 to 1/b of ln(bx) dx.

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The perimeter of the outer square in red  is: 320 cm

The perimeter of a square is defined by the formuls:

P = 4 * side length

Now, we are told that each of the internal 4 squares have a perimeter of 160 cm.

Thus:

160 = 4 * side length

side length = 160/4

side length = 40 cm

Now, this means that the side length of the outer square in red is:

Side length = 2 * 40

= 80 cm

Thus:

Perimeter of outer square in red = 4 * 80

= 320 cm

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Answer:b

Step-by-step explanation:

Answer:

i think so 4.32 L

Submarine 1 : at 4,863 feet and is ascending 81.1 feet per minute

Submarine 2: at 3,645 feet and is ascending 76.9 feet per minute

so, step 1:

The third statement is the true

Step 2:

For the same depth

-4,863 + 81.1 m = -3,645 + 76.9 m

solve to find m

so,

81.1 m - 76.9 m = 4863 - 3645

4.2 m = 1,218

m = 1,218/4.2 = 290 minutes

==============================================================================

\( \large \bf \implies{True}\)

\( \Large \bf\longrightarrow \frac{64}{36} = \frac{16}{9} \)

\(\Large\bf\longrightarrow \frac{96}{54} = \frac{16}{9} \)

Answer:

13mn

Step-by-step explanation:

(10mn-5m+3n)+(mn-5m-3n)+(mn+9m+4n)

8mn+(-8mn)+13mn

=13mn

that's the answer I think

When the wheel weighs 19.5 pounds, this implies that each hub cover weighs approximately 11.08 pounds.

A mathematical equation is a statement that expresses the connection between two or more quantities using symbols like elements, numbers, and mathematical operations. It may also signify a requirement that must be met or an issue that must be resolved. There are numerous ways to express equations in writing, including the algebraic, geometric, logarithmic, and exponential formats. The expression y = mx + b, for instance, depicts a linear connection between variables x and y, with m denoting the line's slope and b its y-intercept. The sine function and the variable x are related in a trigonometric way by the solution sin(x) = 0.5, where sin(x) is the ratio of a right triangle's opposing side's length to its hypotenuse's length.

given

Let's suppose that each hubcap weighs x pounds.

Since there are 6 of the same hubcaps, their combined weight is 6.

The hubcaps and the tire together weigh 86 pounds, according to the issue. Thus, the following solution can be written:

6x + 19.5 = 86

We can begin by removing 19.5 from both sides to find x:

6x = 86 - 19.5

6x = 66.5

Finally, we can identify x by dividing both sides by 6:

x = 11.08

When the wheel weighs 19.5 pounds, this implies that each hub cover weighs approximately 11.08 pounds.

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Answer: 190 miles

Solution:

=4 x 95 / 2

=(cross out the common factor)

=2 x 95 = 190

Compute u * v if u and v are unit vectors and the angle between them is Pie. U * v =  is u.v = -1

that u and v are unit vectors and the angle between them is π.To find u*v, we use the dot product of vectors. Dot product of two vectors a and b is given bya.

b = |a| |b| cosθ

Where |a| is the magnitude of vector a, |b| is the magnitude of vector b, and θ is the angle between the two vectors.Let's find u*v using this formula.

u.v = |u| |v| cos π(u.v) = 1 × 1 × (-1))= -1

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The limit of the given sequence `9n³ + 1` as n approaches infinity is `10`. The given sequence is = 9n³ + 1. We need to determine whether the given sequence converges or diverges. If it converges, then we need to find the limit.

To find whether the sequence converges or diverges, let's take the limit of the given sequence as n approaches infinity, i.e., lim n→∞ an.  lim n→∞ an = lim n→∞ (9n³ + 1) = lim n→∞ 9n³ + lim n→∞ 1.

Since `lim n→∞ 9n³` is of the form `∞•∞•∞` (infinity times infinity), we cannot directly find its limit.

To evaluate this limit, we need to divide the numerator and denominator by the highest power of n that occurs in the denominator, which is n³.

lim n→∞ 9n³` `= lim n→∞ 9` (dividing numerator and denominator by n³).

Thus, `lim n→∞ an` `= lim n→∞ 9n³ + lim n→∞ 1` `= lim n→∞ 9 + lim n→∞ 1` (applying limit laws)`= 9 + 1` (since `lim n→∞ 1 = 1`)`= 10`.

Therefore, the given sequence converges to `10`. Hence, the limit of the given sequence `9n³ + 1` as n approaches infinity is `10`.

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______________________________

 - When solving problems like these (One-Step Equations,) to get x alone you must do the opposite of what you see.

- In this situation we have a positive 3. So to get rid of both numbers you do the opposite: Opposite of +3 is -3. So you subtract 3 from each number.

______________________________

Answer:

What is an equation of the line that passes through the point (-5,8) and is parallel to the line x + y = 8?

Equation of a Line:

There are different ways in solving for the equation of a line depending on the given values. The slope-intercept form can be used when the slope and y-intercept are given. Also, the point-slope form can be used when the slope and a point in the line are given.

Answer and Explanation: 1

Given:

a line that passes through the point

(

−

5

,

8

)

where

x

1

=

−

5

and

y

1

=

8

parallel to the line

x

+

y

=

8

Since parallel lines has the same slope, we solve for the slope of the equation

x

+

y

=

8

by transforming it to its slope-intercept form

y

=

m

x

+

b

where

m

is the slope.

x

+

y

=

8

y

=

−

x

+

8

m

=

−

1

Now, we have a slope

(

m

=

−

1

)

and a point in the line

(

x

1

=

−

5

,

y

1

=

8

)

, we can write an equation of the line using the point-slope form

y

−

y

1

=

m

(

x

−

x

1

)

y

−

y

1

=

m

(

x

−

x

1

)

y

−

8

=

−

1

(

x

−

(

−

5

)

)

y

−

8

=

−

1

(

x

+

5

)

y

−

8

=

−

(

x

+

5

)

Therefore, the equation of the line can be written as

y

−

8

=

−

(

x

+

5

)

the equation of line which passes through point (8,-5) and is parallel to line x+y = 8 is y = -x +3.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

x + y = 8

which passes through point (8,-5)

Let us first find the slope of line m which is parallel to the line x + y = 8 using point-intercept equation of line that is given by :

y = mx + c....(1)

x + y = 8

y = -x + 8

comparing above equation with equation (1) we get

m = -1

Now, the slope of line parallel to line x + y = 8 will have same slope that is m = -1

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-5)) = -1(x-8)

(y+5) = -x+8

y + 5 = -x +8

y = -x +3

Therefore, the equation of line which passes through point (8,-3) is y = -x +3.

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Answer:

The distance between both points is 4√2 units

Step-by-step explanation:

Here in this question, we want to calculate the distance between two given points.

These points are (8,-3) and (4,-7)

Mathematically, the distance between two points can be given as;

D = √(x2-x1)^2 + (y2-y1)^2

where x1 = 4, x2 = 8 , y1 = -7 and y2 = -3

Substituting these values;

D = √(8 -4)^2 + (-3-(-7)^2

D = √(4)^2 + (4)^2

D = √(16+16)

D = √(32)

D = 4√2 units

Answer:

32 Number C

Step-by-step explanation:

The pieces of cloth are beyond the standard at 0.05 level of significance.

We can use a one-sample t-test to determine if the mean length of the 35 pieces of cloth is significantly different from the standard length of 3.25 meters.

The null hypothesis is that the mean length of the cloth pieces is equal to the standard length:

H0: μ = 3.25

The alternative hypothesis is that the mean length of the cloth pieces is greater than the standard length:

Ha: μ > 3.25

We can calculate the test statistic as:

t = (x - μ) / (s / √n)

where x is the sample mean length, μ is the population mean length (3.25 meters), s is the sample standard deviation (0.52 meters), and n is the sample size (35).

Plugging in the values, we get:

t = (3.52 - 3.25) / (0.52 / √35) = 3.81

Using a t-table with 34 degrees of freedom (n-1), and a significance level of 0.05 (one-tailed test), the critical t-value is 1.690.

Since our calculated t-value (3.81) is greater than the critical t-value (1.690), we reject the null hypothesis and conclude that the mean length of the 35 pieces of cloth is significantly greater than the standard length at the 0.05 level of significance.

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Answer:

(m+8) - 2

Step-by-step explanation:

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

2[p - (4p + 11) + 1] = 2(p + 10)

Step 02:

solve the equation:

2[p - (4p + 11) + 1] = 2(p + 10)

2[p - 4p - 11 + 1] = 2p + 20

2[- 3p - 10] = 2p + 20

-6p - 20 = 2p + 20

-6p - 2p = 20 + 20

-8p = 40

p = 40 / (-8)

p = - 5

The answer is:

The solution set is {-5}

Answer: 37 degrees

Hope this helps :)

Step-by-step explanation:

(The box in the corner tells you this is a right angle)

A right angle is 90 degrees

90 - 53 = 37

Answer:

37 degrees

Step-by-step explanation:

Angle a is equivalent to 37 degrees because the picture signifies a right angle; all right angles are equal to 90 degrees. The equation to solve this would be: 53+x=90, you would solve this by subtracting 90-53=x; x=37

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Answer:

373cm

Step-by-step explanation:

do 10*12-5*5 to find internal area of white space you wil get 95

then do 18*26-95 you get your final area 373cm

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

y=5x−10 ..(1)

y=−3x+14 ...(2)

Subtract equation (2) from (1).

y-y = 5x−10-(−3x+14)

0 = 5x-10+3x-14

0= 8x-24

8x = 24

x = 3

Put the value of x in equation (1).

y=5(3)−10

= 15-10

y = 5

So, the values of x and y are 3 and 5 respectively.

well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

8

Step-by-step explanation:

If you add the ratios together, it is equal to 9

Since NQ = 9, 9/9=1

So each unit is 1

Then you can just add 5*1 + 3*1

Which is 8

Hope this helps :)

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be $605.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100.

Here, Mae Ling earns a weekly salary of $365 plus a 5.0% commission on sales at a gift shop.

The amount that she make in a workweek if she sold $4,800 worth of merchandise will be:

= $365 + (5% × $4800)

= $605

The amount is $605.

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Answer:

So the translation would be 2 units right and 2 units down.

Step-by-step explanation:

First look at how each value for each x and y value changed. The x value 2 went to 4 and the y value 7 went to 5. The x-value changed by 2 and the y value changed by -2. So the translation would be 2 units right (right because it is positive) and 2 units down (down since the -2 is negative).

The inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

Inverse function is represented by  with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Generally, the method of calculating an inverse is swapping of coordinates x and y. This newly created inverse is a relation but not necessarily a function. The original function has to be a one-to-one function to assure that its inverse will also be a function.

Therefore, the inverse of \(f^{-1}\) of the function f is inverse is swapping of coordinates x and y and making y as subject.

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Answer:

i think d and a. u welcome

Answer:

A

Step-by-step explanation: