Which 3 pairs of side lengths are possible measurements for the triangle?

The most appropriate choice for linear inequation will be given by-

[tex]m > \frac{1}{2}[/tex] is the correct solution

What is linear inequation?

At first it is important to know about algebraic expressions.

Algebraic expressions consists of variables and numbers connected with addition, subtraction, multiplication and division.

Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by > , < , [tex]\geq, \leq[/tex]

A one degree inequation is known as linear inequation.

Here,

The given inequation is [tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}[/tex]

Now,

[tex]\frac{1}{2} - \frac{m}{4} < \frac{3}{8}\\\\\frac{m}{4} > \frac{1}{2} - \frac{3}{8}\\\\\frac{m}{4} > \frac{4 - 3}{8}\\\\\frac{m}{4} > \frac{1}{8}\\\\m > \frac{1}{8} \times 4\\m > \frac{1}{2}[/tex]

The number line has been attached here.

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Distributive property tell us how to solve expressions in the form a(b+c), it says:

a(b+c)=ab+ac

Then,

Given the function:

g(x) = 3^x + 1

we are asked to plot the graph of the function.

Using the table:

x y

-2 10/9

-1 4/3

0 2

1 4

2 10

The graph:

The expomential functions have a horizontal asymptote.

The equation of the horizontal asymptote is y = 1

Horizontal Asymptote: y = 1

To find the domain is finding where the question is defined.

The range is the set of values that correspond with the domain.

Domain: (-infinity, infinity), {x|x E R}

Range: (1, infinity0, {y|y > 1}.

Answer:

90 degrees

Explanation:

Please note that whenever a triangle is inscribed in a circle and one side of the triangle is a diameter of the circle as in the given figure, then the angle that is opposite the diameter of the circle is a right angle;

Given:

2(-36- 3i )+ (5+2i)(12-2i)

Open the parenthesis

2(-36- 3i) + 5( 12 - 2i) + 2i ( 12 - 2i)

- 72 - 6i + 60 - 10i + 24i + 4 ( Note: i² = -1)

Re-arrange

-72+60 + 4 - 6i - 10i + 24i

= -8 + 8i

The variables are:

x: cost of each bag of soil

y: cost of each bag of fertilizer

He bought 15 bags of soil and 3 bags of fertilizer for $282.72, that is,

15x + 3y = 282.72 (eq. 1)

He bought another 5 bags of soil and 2 bags of fertilizer for $107.23, that is,

5x + 2y = 107.23 (eq. 2)

Multiplying equation 2 by 3, we get:

3(5x + 2y) = 3(107.23)

3(5x) + 3(2y) = 3(107.23)

15x + 6y = 321.69 (eq. 3)

Subtracting equation 3 to equation 1, we get:

15x + 3y = 282.72

-

15x + 6y = 321.69

-------------------------------

-3y = -38.97

y = -38.97/-3

y = 12.99

Replacing this result into the first equation,

15x + 3(12.99) = 282.72

15x + 38.97 = 282.72

15x = 282.72 - 38.97

15x = 243.75

x = 243.75/15

x = 16.25

D. Each bag of fertilizer was $12.99, and each bag of soil was $16.25.

We have the following:

replacing when x is 2:

P (A) = probability of a car purchased in 2010's

P (B) = probability of the car being made from ash wood

P (A and B) = 4

P (B) = 4 +3 = 7

Conditional probability:

P (B/A) = P (A and B ) / P (B) = 4 / 7 = 0.5714

Leah investment is:

Where M is the ammount of money that she has, and y the number of years.

We want to know the number of years that must elapse for her investment to triple, so we want to know the value of y such that:

It will take 73.79 years to triple her investment.

Lauren investment is:

Where M is the ammount of money that she has, and m the number of months, and y is the number of years.

We want to know the number of years that must elapse for her investment to triple, so we want to know the value of y such that:

Answer:

length is 27, width is 9

Step-by-step explanation:

72/4= 18

2x27+ 2x9 = 54 + 18 = 72

Question:

Solution

a) If for every 10 bags the store charges $140 then

1. for 10x2 = 20 bags the store charges 2x$140 = 280.

2. for 10x3 = 30 bags the store charges 3x$140 = 420.

3. for 10x4 = 40 bags the store charges 4x$140 = 560

4. for 10x6 = 60 bags the store charges 6x$140 = 840

b) According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

c)

According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

We have the function

Therefore we want to determine when we have

It means that the term

Must go to zero, then let's forget the rest of the function for a sec and focus only on this term

But for which value of t? When we have a decreasing exponential, it's interesting to input values that are multiples of the exponential coefficient, if we have 0.039 in the exponential, let's define that

The inverse of the number, but why do that? look what happens when we do t = α

And when t = 2α

We can write it in terms of e only.

And we can find for which value of α we have a small value that satisfies

Only using powers of e

Let's write some inverse powers of e:

See that at t = 5α we have a small value already, then if we input p(5α) we can get

That's already very close to 550, if we want a better approximation we can use t = 8α, which will result in 549.81, which is basically 550.

Therefore, we can use t = 5α and say that 3 people are not important for our case, and say that it's basically 550, or use t = 8α and get a very close value.

In both cases, the decimal answers would be

rectangular prism volume is ,

let the required number be x then

So 60 is 40% of 150.

If a2 -2ab + b2 = 9 and a[tex]\begin{gathered} a^2-2ab+b^2=9 \\ a

Step 1

factorize

then

To simplify the fraction we will need to facto

The function T = T(c) tells us the temperature based on the number of times c the cricket has chirped in one minute. In other words, if we plug c = 148 in the formula we get:

That means if the cricket chirps 148 times per minute, the temperature must be 81.88 ºF.

Answer: The expected temperature in degrees Farenheit if the cricket has chirped 148 times perminute.

To find the scaled measures of the race car, you have to divide the original measures by the scale. This is:

So the scaled measures of the race car are: length=22.75in and height=9in

The first step to answer this question is to write the fraction for the given sentences.

Five hundred twelve thousandths is:

To write it as a decimal, solve the quotient:

The answer is 0.512.

Answer:

After tax interest expenses = Interest expenses x (100 - Tax Rate) 

= 70000 x (100 - 30)% 

= 70000 x 70% 

= $49,000.00

Step-by-step explanation:

Let's check the options

A.

2x - 1 = 2

2x= 3

x= 3/2=1.5

option A has atleast one solution

B

3y+ 1 = 3y

option B has no solution

C.

5p - (3 + p) = 6p + 1

5p - 3 - p = 6p + 1

4p - 6p = 1 + 3

-2p = 4

p =-2

option C has atleast one solution

D.

4/5 m = 1- 1/5 m

4/5 m + 1/5m = 1

1m = 1

m = 1

Option D has atleast one solution

E.

10 + 0.5w = 1/2w - 10

0.5 w - 1/2 w = -10 - 10

option E has no solution

F.

4a + 3(a-2) = 8a - (6+a)

4a +3a - 6 = 8a -6 - a

7a -6 = 7a - 6

option F has many solution. Hence it also has atleast one solution

Therefore;

option A, C, D and F has atleast one solution

The distance covered by Kaylee in 17 hours at the same rate is 544 miles.

According to the question,

We have the following information:

Distance covered by Kaylee = 160 miles

Time taken by Kaylee = 5 hours

We know that the following formula is used to find the speed:

Speed = distance/time

Speed = 160/5 mile/hour

Speed = 32 miles/hour

Now, we have to find the distance when time taken is 17 hours and the speed is the same.

Now, from the formula of speed, we can find the distance:

Distance = speed*time

Distance = 32*17

Distance = 544 miles

Hence, the distance covered by Kaylee in 17 hours is 544 miles.

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Given a function f(x) = x(9 - x).

We need to find the value of f(2) and f(2.1) and use them to approximate the value of f'(2).

The value of f(2) is calculated below:

The value of the f(2.1) is calculated as follows:

Now, by the definition of f'(x), we know that

For the given condition, x = 2, and delta x = 0.1. So, the value of f'(2) is

Thus, the approximate value of f'(2) is 4.9.

Given:

Required:

Sum of the numbers

Explanation:

Let

when n = 2, Aₙ becomes

when n = 3, Aₙ becomes

when n = 4, Aₙ becomes

when n = 5, Aₙ becomes

when n = 6, Aₙ becomes

when n = 7, Aₙ becomes

when n = 8, Aₙ becomes

So now,

Final answer:

The

We have the correct statement about the vectors in the graph.

We can already see that it is a sum of vectors like:

As v has starting point at (-1,0) and ending point at (3,3), we can describe the vector as:

As w starts at (3, 3) and ends on (5, 2), we can describe it as:w

Finally, u starts at (-1,0) and ends at (5,2), so it can be described as:

Answer: v + w = u for v = 4i + 3j, u = 2i - j and u = 6i + 2j [Option C].

EXPLANATION

Let's see the facts:

Inspect period = 10 flight hours

Flown= 3 flights/2.75 hours

Total flights hours = 3x2.75 = 8.25 hours

The difference is 10-8.25 = 1.75 hours.

We need 1.75 hours more before the next wing inspection.

answer needs at least 20 characters so here's ur answer 2

Step-by-step explanation:

thank u

Answer: 2

1 + 1 = 2

lol thanks for the points

The simplified answer of the composite function is as follows:

Composite functions is a function that depends on another function.  A composite function is created when one function is substituted into another function.

In other words, a composite function is generally a function that is written inside another function.

Therefore,

f(x) = 2x

g(x) = 3x²

Hence, the composite function can be simplified as follows:

(f + g)(x) = f(x) + g(x)  = 2x + 3x²

(f - g)(x) = f(x) - g(x)  = 2x - 3x²

(f. g)(x) = f(x) . g(x) = (2x)(3x²) = 6x³

(f / g)(x) = f(x) / g(x) = 2x / 3x² = 2 / 3x

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Answer:

Quotient:

Remainder:

P(-2):

Step-by-step explanation:

Remember that the remainder theorem states that the remainder when a polynomial p(x) is divided by (x - a) is p(a).

To calculate the quotient, we'll do the synthetic division as following:

Step one:

Write down the first coefficient without changes

Step two:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 3:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Step 4:

Multiply the entry in the left part of the table by the last entry in the result row (under the horizontal line).

Add the obtained result to the next coefficient of the dividend, and write down the sum.

Now, we will have completed the division and have obtained the following resulting coefficients:

Thus, we can conlcude that the quotient is:

And the remainder is 13, which is indeed P(-2)