can someone help me with 13 and 14 please and fast

Applying it's properties, the limits of the functions are given as follows:

1. 9.

2. -2.

A limit is given by the value of function f(x) as x tends to a value. Algebraically, for continuous functions, we have that:

[tex]\lim_{x \rightarrow a} f(x) = f(a)[/tex].

Hence, applying the property above, for item 1, we have that:

limx→0 f(x−1)g(x) = f(0 - 1)g(0) = f(-1)g(0) = -3 x 3 = 9.

For item 2, we have that:

limx→0 f(x+4)+g(x) = limx→4 f(x) + limx→0 g(x) = 3 - 5 = -2.

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Answer:58.8km/h

Step-by-step explanation: V= 1.67/1.7= 0.98 km/min

0.98*60min=58.8

Answer: C(-6.125,-4.125)

Step-by-step explanation:

[tex]\displaystyle\\A(-8,-6)\ \ \ \ B(-3,-1)\\Let\ \frac{3}{5}=\lambda \\Hence,\\\boxed {x_C=\frac{x_1+x_2\lambda}{1+\lambda} }\ \ \ \ \ \ \boxed {y_C=\frac{y_1+y_2\lambda}{1+\lambda} }\\\\x_1=-8\ \ \ \ x_2=-3\\\lambda=\frac{3}{5} \\\\\lambda=\frac{0.6*5}{5}\\\\\lambda=0.6\\\\x_C=\frac{-8+(-3)*0.6}{1+0.6} \\\\x_C=\frac{-8-1.8}{1.6} \\\\x_C=\frac{-9.8}{1.6} \\\\x_C=-\frac{9.8*10}{1.6*10} \\\\x_C=-\frac{98}{16} \\\\x_C=-6.125\\\\\\[/tex]

[tex]\displaystyle\\y_1=-6\ \ \ \ y_2=-1\ \ \ \ \lambda=0.6\\\\y_C=\frac{-6+(-1)*0.6}{1+0.6} \\\\y_C=\frac{-6-0.6}{1.6}\\\\y_C=\frac{-6.6}{1.6} \\\\y_C=-\frac{6.6*10}{1.6*10} \\\\y_C=-\frac{66}{16} \\\\y_C=-4.125[/tex]

[tex]Thus,\ C(-6.125,-4.125)[/tex]

Answer: 100  scores

Step-by-step explanation:

Let the number of points on your fifth test be x

Hence,

[tex]\displaystyle\\\frac{59+80+65+96+x}{5}=80\\[/tex]

Multiply both parts of the equation by 5:

300+x=80*5

300+x-300=400-300

x=100

The value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85

The expression is given as

(12 - 3/5√25)^2 + (2 - 4)^2

Evaluate the square root of 25

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3/5 * 5)^2 + (2 - 4)^2

Evaluate the product

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = (12 - 3)^2 + (2 - 4)^2

Evaluate the difference

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = 9^2 + (2 - 4)^2

Evaluate the exponent and the sum

So, we have

(12 - 3/5√25)^2 + (2 - 4)^2 = 85

Hence, the value of the expression (12 - 3/5√25)^2 + (2 - 4)^2 is 85

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The Perimeter of the quadrilateral = 16.93 units

The perimeter of the quadrilateral with the given vertices is the sum of the distance between every vertices.

Calculate the distance between the vertices using the distance formula, d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Name the vertices as shown below:

A(1,4)

B(-1,-2)

C(2,0)

D(4,0)

Distance between A and B:

AB = √[(−1−1)² + (−2−4)²]

AB = √(4 +36)

AB = 6.32 units

Distance between B and C:

BC = √[(−1−2)² + (−2−0)²]

BC = 3.61 units

Distance between C and D:

CD = √[(4−2)² + (0−0)²]

CD = 2 units

Distance between A and D:

AD = √[(4−1)² + (0−4)²]

AD = 5 units.

Perimeter of the quadrilateral = AB + BC + CD + AD = 6.32 + 3.61 + 2 + 5

Perimeter of the quadrilateral = 16.93 units

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Answer:

the value of a car is gradually declining in such a way that at the end

Step-by-step explanation:

I don't know what to say

Answer:

4ab = 5bc is the answer

Step-by-step explanation:

Answer:

12ab - 3bc.

Step-by-step explanation:

I am assuming you want to add these.

6ab + 8ba + (-2ab) + (-3bc)

= 6ab + 8ab - 2ab - 3bc

= 14ab - 2ab - 3bc

= 12ab - 3bc.

Step-by-step explanation:

x + y = 72

x - y = 40

x = y + 40

so, the first equation is then

y + 40 + y = 72

2y + 40 = 72

2y = 32

y = 16

x = y + 40 = 16 + 40 = 56

Answer:

15 (x + 2\/5)^2 + 28\/5

Step-by-step explanation:

The answer is 18 : -2/3 : 15

Step-by-step explanation:

10 + 8 : (-1/3) - 1/3 : 8 + 7

18 : -2/3 : 15

Answer:

9 ounces

Step-by-step explanation:

Let x = number of ounces of 12% solution.

0.12x + 0.2 × 9 = 0.16(x + 9)

0.12x + 1.8 = 0.16x + 1.44

-0.04x = -0.36

x = 9

Answer: 9 ounces

[tex] \bf\longrightarrow \: 6x - 4 = 5x - 11 \\ \bf\longrightarrow \: 6x - 5x = - 11 + 4 \\ \bf\longrightarrow \: x = - 7[/tex]

[tex] \bf\longrightarrow \: 0.3(x - 2) = 0.6 + 0.2(x + 4) \\ \bf\longrightarrow \: 0.3x - 0.6 = 0.2x + 1.4 \\ \bf\longrightarrow \: 0.3x - 0.2x = 1.4 + 0.6 \\ \bf\longrightarrow \: 0.1x = 2 \\ \bf\longrightarrow \: x = \frac{ \cancel2}{ \cancel0.1} \\ \bf \longrightarrow \: x = 20[/tex]

Using a system of equations, it is found that there are 204 boys at the school.

A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.

For this problem, the variables are given as follows, considering the situation described:

The average of the number of boys, girls, male teachers, and female teachers is 117, hence:

(x + y + z + w)/4 = 117

x + y + z + w = 468.

The average of the number of boys, girls, and male teachers is 151, hence:

(x + y + z)/3 = 151

x + y + z = 453.

Then:

x + y + z + w = 468.

453 + w = 468

w = 15.

There are 6 fewer male teachers than there are female teachers, hence:

z = w - 6 = 15 - 6 = 9.

So:

x + y + z = 453.

x + y = 444.

The number of female teachers is 1/16 the number of girls, hence:

There are 204 boys at the school.

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Deciles are 61.3 and 67.7

What are deciles?

Deciles are measures of position calculated on a set of data. The deciles are the values that separate a distribution into ten equal parts, where each part contains the same number of observations). The decile is a member of the wider family of quantiles.

Given:

Normal distribution =64.5 inches

Standard deviation=σ =2.5 inches

​

So, here the z- score for left decile= -1.28

and for right decile= +1.28

we know,

z= x-[tex]\mu[/tex]/σ

x= zσ + [tex]\mu[/tex]

x=-1.28*2.5 + 64.5

x= 61.3  and,

x= 1.28*2.5 + 64.5

x=67.7

hence, the deciles are 61.3 and 67.7

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Answer Im thinking 7 but i don't know for sure

Step-by-step explanation:

Answer:

roost beef

Step-by-step explanation:

The number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

Team A won 3 more medals than two times the medals won by Team B.

If the number of medals won by team B is x, than;

Number of medals won by team A = 3 + 2x

Number of medals won by team B = x

Also, we are told that Team A won 9 more medals than Team B.

Thus;

(3 + 2x) = x + 9

2x - x = 9 - 3

x = 6

3 + 2x = 3 + 2(6) = 15 medals

Thus, we conclude that the number of medals won by team A is 15 medals while the number of medals won by Team B is 9 medals.

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Answer:

the AED450

Step-by-step explanation:

I don't know what to say about my answer but I think it's just the best way to anwers

What is 10.0833333 as a fraction?

To write 10.0833333 as a fraction you have to write 10.0833333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

10.0833333 = 10.0833333/1 = 100.833333/10 = 1008.33333/100 = 10083.3333/1000 = 100833.333/10000 = 1008333.33/100000 = 10083333.3/1000000 = 100833333/10000000

And finally we have:

10.0833333 as a fraction equals 100833333/10000000

Answer:

-3/2

Step-by-step explanation:

slope = (y_2 - y_1)/(x_2 - x_1)

slope = (3 - (-6))/(-2 - 4)

slope = (3 + 6)/(-6) = 9/(-6)

slope = -3/2

Answer:

Step-by-step explanation: 3/-2

The equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y =  -2/3x + 1

The equation of a line is expressed as;

y = mx + b

m is the slope

b is the y-intercept

Given the equation -3x + 2y = 12

2y = 3x + 12

y = 3/2x + 6

From the equation, the slope that is perpendicular to the slope is -2/3

Determine the equation

y-(-5) = -2/3(x-3)

y+5 = -2/3x + 6

y =  -2/3x + 6 - 5

y =  -2/3x + 1

Hence the equation of the line through (3,-5) and perpendicular to -3x + 2y = 12 in slope-intercept form is y =  -2/3x + 1

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The polynomial representing the area of the is 49n² - 25

The formula for area of a square is expressed as;

Area = a²

Where a is the side length

From the image shown, we can see that the side length takes the value (7n - 5)

Substitute the value into the formula

Area = a²

Area = (7n - 5)²

Area = (7n - 5) ( 7n + 5); this is so because of the difference of two squares

Expand the bracket

Area = 49n² + 35n - 35n - 25

collect like terms

Area = 49n² - 25

Thus, the polynomial representing the area of the cube is 49n² - 25

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Option a. $1101 is the amount one owes in property tax

The market price of the property  = $74000

The assessed value of the property as per the state tax assessors= 48%

So, assessed value in terms of dollars = (48/100)*74000 = $35520

Property tax is calculated on the assessed value of the property. Therefore we will calculate the property tax as follows:

Property tax rate in the state= 3.1%

So, property tax on the owned property will be = (3.1/100)*35520 = 1101.12 or 1101

Therefore, option a. $1101 is the correct answer for the given question

Hence, one needs to pay $1101 in property tax to the state

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Answer: 150, 4/2, 0.5/2

Step-by-step explanation:

Answer:

c between 30 and 40 mins

Step-by-step explanation:

if you look at the graph that's the only line going down.

The value of z = 2.25

Given that z is a standard normal random variable.

Now the area under a standard normal curve between two z -values gives the probability of z lying between these two z-values.

Given that the area to the right of z = 0.0122

That is probability that the standard normal random variable lies after z = 0.0122

Total probability = 1

Therefore half the area under the standard normal curve = 0.5

Therefore, 0.5 - 0.0122 = 0.4878

We will find the corresponding z-value for this probability value from the normal tables. This is because normal tables gives area between two standard normal variables.

The table value corresponding to 0.4878 = 2.25

Therefore, z -value = 2.25

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Answer:

29282829939999999 and yea