if LM= 22and MN= 15, find LN.

Answer:

D;132.00

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Add n on both sides:

3m = km - 8 + n

Subtract km on both sides:

3m - km = n - 8

Factor the Left-Hand Side:

m(3 - k) = n - 8

Divide both sides by (3 - k):

m = (n - 8) / (3 - k)

Answer:

(8-n)/(k-3) =m

Step-by-step explanation:

3m-n=km-8

Subtract 3m from each side

3m -3m-n=km -3m-8

-n =km -3m-8

Add 8 to each side

8-n =km -3m-8+8

8-n =km -3m

Factor out m

8-n =m(k -3)

Divide by (k-3)

(8-n)/(k-3) =m(k -3)/( k-3)

(8-n)/(k-3) =m

Answer:

[tex]12942[/tex] is the sum of positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are not multiples of [tex]4[/tex] and not multiples [tex]7[/tex].

Step-by-step explanation:

For an arithmetic series with:

there would be [tex]\displaystyle \left(\frac{a_n - a_1}{d} + 1\right)[/tex] terms, where as the sum would be [tex]\displaystyle \frac{1}{2}\, \displaystyle \underbrace{\left(\frac{a_n - a_1}{d} + 1\right)}_\text{number of terms}\, (a_1 + a_n)[/tex].

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) include:

[tex]1,\, 2,\, \dots,\, 199[/tex].

The common difference of this arithmetic series is [tex]1[/tex]. There would be [tex](199 - 1) + 1 = 199[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times ((199 - 1) + 1) \times (1 + 199) = 19900 \end{aligned}[/tex].

Similarly, positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]4[/tex] include:

[tex]4,\, 8,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]4[/tex]. There would be [tex](196 - 4) / 4 + 1 = 49[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 49 \times (4 + 196) = 4900 \end{aligned}[/tex]

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]7[/tex] include:

[tex]7,\, 14,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]7[/tex]. There would be [tex](196 - 7) / 7 + 1 = 28[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 28 \times (7 + 196) = 2842 \end{aligned}[/tex]

Positive integers between [tex]1[/tex] (inclusive) and [tex]199[/tex] (inclusive) that are multiples of [tex]28[/tex] (integers that are both multiples of [tex]4[/tex] and multiples of [tex]7[/tex]) include:

[tex]28,\, 56,\, \dots,\, 196[/tex].

The common difference of this arithmetic series is [tex]28[/tex]. There would be [tex](196 - 28) / 28 + 1 = 7[/tex] terms. The sum of these integers would thus be:

[tex]\begin{aligned}\frac{1}{2}\times 7 \times (28 + 196) = 784 \end{aligned}[/tex].

The requested sum will be equal to:

That is:

[tex]19900 - 4900 - 2842 + 784 = 12942[/tex].

Answer:

[tex]1\,\,m^3\,=\,10^6\,\,cm^3[/tex]

Step-by-step explanation:

To find: conversion factor between cubic meters and cubic  centimeters

Solution:

One meter is 100 times greater than one centimeter .

1 meter = 100 centimeter

That is [tex]1\,\,m\,=\,100\,\,cm[/tex]

So,

[tex]1\,m^3\,=\,1000000\,cm^3[/tex]

or

[tex]1\,m^3\,=10^6\,cm^3[/tex]

or

[tex]1\,cm^3\,=\,\frac{1}{10^6}\,m^3[/tex]

Answer:

Calculate gross pay, before taxes, based on hours worked and rate of pay per hour including overtime. To enter your time card times for a payroll related calculation use this time card calculator. Gross Pay or Salary: Gross pay is the total amount of money you get before taxes or other deductions are subtracted from your salary.

Answer:

Domain { -9,3,5}

Range { 4,5,7}

Step-by-step explanation:

The domain is the input

Domain { -9,3,5}

The range is the output

Range { 4,5,7}

Answer:I’m not smart but the guy above me

Step-by-step explanation:is super smart

Answer: b,c and d.

Step-by-step explanation:

The options that are true are:

b. Z scores are defined for observations from distributions of any shape and skew.

c. The Z score for the median of a symmetric distribution is approximately 0.

d. Calculating percentiles based on the Z table is only appropriate for observations that come from a nearly normal distribution.

It should be noted that option A"The Z score for the median of a left skewed distribution is negative" is false.

For a left skewed distribution, it should be noted that the mean is less than the median which in turn is less than the mode and this will bring about a positive outcome, therefore the corresponding z-score for the median will also be positive and bit negative.

Therefore, b, c and d are true.

If the z-score for the median of the left-skewed distribution is negative then A is false. Then the correct option is B, C, and D.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

It should be noted that in option A, the z-score for the median of the left-skewed distribution is negative.

A. The Z-score for the median of a left-skewed distribution is negative. This is false.

B. Z-scores are defined for observations from distributions of any shape and skew. This is true.

C. The Z-score for the median of a symmetric distribution is approximately 0. This is true.

D. Calculating percentiles based on the Z-table is only appropriate for observations that come from a nearly normal distribution. This is true.

More about the z-score link is given below.

https://brainly.com/question/13299273

Answer: a. They can find the present value of the remaining 20 years worth of payments.

Step-by-step explanation:

The present value of the payments for the servicing of the loan is the amount of the loan that is still owed because the payments include both the interest and the principal repayments.

The Schmidts can therefore find out the amount they still owe by checking the present value of the remaining 20 years worth of payments.

As the payments are usually constant they can be treated as an annuity so using the monthly payment as the annuity, the interest rate as the discount rate and the 20 years ( 240 months) as the period, they should be able to find the present value of the loan.

Answer:

x = 9

Step-by-step explanation:

2x + 3(6)= 36

2x + 18= 36

    - 18    - 18

2x = 18

divide by 2

x= 9

Answer:

G

Step-by-step explanation:

the perimeter is the sum of all sides so we have

[tex]P=a^{2} -ab+a-2a+a^2+ab\\\\P=(a^2-2a^2+a^2)+(-ab+2b)+a\\\\P=(0a^2)+(ab)+a\\\\P=ab+a[/tex]

Answer:

G

Step-by-step explanation:

hope this helps!!!!!!!!!m:)

Answer:

9(7+9)

Step-by-step explanation:

The greatest common factor in this situation is 9 so you could factor out 9 and get 9(7+9) you can check this answer by multiplying both numbers by the number on the outside of the parenthesis.

hope this helps mark brainliest please

Answer:

The greatest common factor is 9 you could change it to 9(7+9) you can make sure this answer is correct by multiplying both numbers by the number in the parentheses.

Step-by-step explanation:

Answer:

Yes, ratios of blue paint to yellow paint form a proportional relationship

Step-by-step explanation:

In case of the first person:

Number of blue parts = 2

Number of yellow parts [tex]=3[/tex]

In case of another person:

Number of blue parts [tex]=4[/tex]

Number of yellow parts [tex]=6[/tex]

Ratio of blue parts [tex]=2:4=1:2[/tex]

Ratio of yellow parts [tex]=3:6=1:2[/tex]

As ration of blue parts is equal to the ratio of yellow parts, ratios of blue paint to yellow paint form a proportional relationship

Answer:

Step-by-step explanation:

From the given rectangle,

Length of the rectangle = 5 cm

Width of the rectangle = 10 cm

Ratio of length : width = 1 : 2

Perimeter of the rectangle = 2(l + b)= 150 cm

l + b = 75 -----(1)

Since, l : b = 1 : 2

[tex]\frac{l}{b}= \frac{1}{2}[/tex]

b = 2l ------(2)

From equations (1) and (2),

l + 2l = 75

3l = 75

l = 25 m

Width 'b' = 2(25) = 50 m

Now we have to draw a rectangle with a scale = 25 : 2

Therefore, Scale factor = [tex]\frac{25}{l}=\frac{25}{2}[/tex]

l = 2 cm

Similarly,

[tex]\frac{50}{w}=\frac{25}{2}[/tex]

w = 4 cm

Now we can draw a rectangle with length = 2 cm and width = 4 cm.

Answer:

- 3 ≤ n ≤ 8

Step-by-step explanation:

Express the interval using inequality notation: -3,8

Interval between - 3 and 8, assumed both included, expressed as:

Answer:

[tex](-13) * (-13) = (-13)^{2}[/tex]

[tex]35 * 35 = 35^{2}[/tex]

Step-by-step explanation:

Given

[tex](-13) * (-13)[/tex]

Required

Express as an exponential notation

[tex](-13) * (-13)[/tex]

Apply the following law of indices

[tex]x^a * x^b = x^{a+b}[/tex]

This gives:

[tex](-13) * (-13) = (-13)^{1+1}[/tex]

[tex](-13) * (-13) = (-13)^{2}[/tex]

The second complete is incomplete; However, I'll assume it is: 35 times 35

[tex]35 * 35[/tex]

Using the same law applied in (1) above:

[tex]35 * 35 = 35^{1+1}[/tex]

[tex]35 * 35 = 35^{2}[/tex]

Answer:

Any value of x

Step-by-step explanation:

Given

[tex]f(x) = \sqrt{x^2 - 1}[/tex]

[tex]g(x) = \sqrt{x^2 + 1}[/tex]

Required

What value of x is  [tex]f(g(x)) = g(f(x))[/tex]

Solving for f(g(x))

[tex]f(x) = \sqrt{x^2 - 1}[/tex]

[tex]f(g(x)) = \sqrt{(\sqrt{x^2 + 1})^2 - 1}[/tex]

Solve the inner square

[tex]f(g(x)) = \sqrt{(x^2 + 1 - 1}[/tex]

[tex]f(g(x)) = \sqrt{x^2 } }[/tex]

[tex]f(g(x)) = x[/tex]

Solving g(f(x))

[tex]g(x) = \sqrt{x^2 + 1}[/tex]

[tex]g(f(x)) = \sqrt{(\sqrt{x^2 - 1})^2 + 1}[/tex]

[tex]g(f(x)) = \sqrt{x^2 - 1 + 1}[/tex]

[tex]g(f(x)) = \sqrt{x^2 }[/tex]

[tex]g(f(x)) = x[/tex]

Equate f(g(x)) and g(f(x))

[tex]f(g(x)) = g(f(x))[/tex]

[tex]x = x[/tex]

This implies that [tex]f(g(x)) = g(f(x))[/tex] at any value of x

Answer:

C, any value of x

Step-by-step explanation:

EDGE

Answer:

x = 3

Step-by-step explanation:

We divide 6 on both sides

Answer:

3

Step-by-step explanation:

Hey there! ☺

[tex]Answer:\boxed{x=10}[/tex]

[tex]Explanation:[/tex]

2/3 = x/15

(2) * (15) = x * (3) Cross Multiply

30 = 3x

3x = 30 Flip up the equation

3x/3 = 30/3

30/3 = 10 Simplify 30/3

x=10

Hope this helps!

Answer: 18 and 36

Step-by-step explanation:

The scale is 8m for every 2 in and the actual area is 144m2 so we need to covert that into inches. You divide 144 by 8 which = 18 and then multiply 18 x 2 which is equal to 36.

Answer:

variable

Step-by-step explanation:

lndividuals are the people or objects included in the study. A variable is the characteristic of the individual to be measured or observed. For example, if we want to do a study about the people who have climbed Mt.

Answer:

variable is the characteristics of an individual to be observed or measured.

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Answer:

7.5 seconds.

Step-by-step explanation:

The height of the arrow as a function of time t is given by :

[tex]h = -16t^2 + 118t + 15[/tex]

Here, 118 ft/s is the initial velocity and 15 feet is the height of the platform. We need to find How many seconds will take the arrow to reach the  ground. When it reaches the ground, h(t) = 0

[tex]-16t^2 + 118t + 15=0[/tex]

The above is a quadratic equation. The solution of the above equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Here, b = 118, a = -16 and c = 15

So,

[tex]t=\dfrac{-118\pm \sqrt{(118)^2-4(-16)(15)} }{2\times (-16)}\\\\t=-0.125\ \text{and}\ 7.5\ s[/tex]

Time can't be negative.

So, it will take 7.5 seconds to reach the ground.

Answer: 3 children occupied the slides

Answer:

x = 6 weeks

Step-by-step explanation:

We'll let x represent the number of weeks it will take to save enough money. If she saves $11 each week, then in x weeks she will save  11x dollars.

Add this to the 107 she has already saved, and at the end of 11 weeks she will have    11x + 107 dollars.

We want the amount saved to be equal to the price of the bike, so our equation is

11x + 107 = 173

In a word problem, writing the equation is usually the hardest part. Now we solve the equation.

Subtract 107 from both sides to get

11x = 66

Divide both sides by 11 to get

x = 6 weeks

Answer:

B?

Step-by-step explanation:

On this number line there is no seven, but there is everything from 1 to 0.

Answer:

B. ( 7/10) / ( 1/10)

Step-by-step explanation:

|

|

V

x = 145°

the sum of interior angles of octagon formula

S = (n - 2)×180°

n = 8

S = (8 - 2)×180°

S = 6×180°

S = 1080°

we have 1 angle = 65° & others are equal to each other

1080° - 65° = 7x

7x = 1015°

x = 1015° : 7

x = 145°

The standard form of the number will be 7.90 x 10¹².

A number can be expressed in a fashion that adheres to specific standards by using its standard form. Standard form refers to any number that may be expressed as a decimal number between 1.0 and 10.0 when multiplied by a power of 10.

Given that the number is 7.901 x 10¹². The number is already in standard form. The number will be written in normal form as below:-

7.901 x 10¹² = 7901000000000

Therefore, the standard form of the number will be 7.90 x 10¹².

To know more about the standard form of the number follow

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Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

[tex]6=(1-9)=(6-1)=9\\\\6=-8=5=9\\\\\boxed{6\neq-8\neq5\neq9}[/tex]

Hope this helps.

Answer:

the 3rd triangle

Step-by-step explanation:

they are congruent

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