Solve for m.
m+14<−125
Responses

m>−11320
m is greater than negative 1 and 13 over 20

m<−1320
m is less than negative 1 and 3 over 20

m<−11320
m is less than negative 1 and 13 over 20

m>−1320

Answer: Put it as a fraction then divide the numerator by the denominator but they have to be divided by the same number. Or just divide.

Step-by-step explanation:

The eleventh term of the Lucas' sequence is 199

From the question, we have the following parameters that can be used in our computation:

1, 3, 4,7, 11, 18, 29, 47, 76,123

As a general rule of Fibonacci, the current term of a sequence is the sum of the two previous terms

This means that

11th term = 10th term + 9th term

Substitute the known values in the above equation, so, we have the following representation

11th term = 123 + 76

Evaluate the sum

11th term = 199

Hence, the 11th term is 199

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Answer:

15x, 5 * (x * 3)

Step-by-step explanation:

15x, 5 * (x * 3) >-<

The amount in the account at the end of 1 year is $5400.

The amount in the account at the end of 2 year is $5832.

What do you mean by interest rate?

The real yearly cost of funds over the course of a loan is the annual rate that is charged for borrowing (or made by investing), expressed as a single percentage number.

According to data in the given question,

We have:

Deandre places $5000 in an account that pays 8% interest compounded each year.

And no withdrawals are made from the account.

Now, we need to determine the amount of 8% interest on the $5000,

[tex]=\frac{5000}{100}*8\\ =400[/tex]

Then, the amount in the account at the end of 1 year =$5000+$400

=$5400.

Now, we need to determine the amount of 8% interest on the $5400,

[tex]=\frac{5400}{100}*8\\ =432[/tex]

So, the amount in the account at the end of 2 year =$5400+$432

=$5832.

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I will choose retirement plan 1, which will give me a future value of $600,000 when I retire at 55 years, and not Plan 2's $358,426.60.

The future value of Retirement Plan 1 is the product of the multiplication of the annual payment for each year of service and the number of service years before retirement.

The future value of Retirement Plan 2 is worked out using an online finance calculator by compounding the present value (deposit) into the future.  It can also be computed using the FV factor of 18% for 30 years.

However, the choice of retirement plan depends on three factors: service years, periodic deposits, and compounding rate.

If the worker retires above 60 years, Retirement Plan 2 will be more favorable.  Similarly, if Retirement Plan 2 compounds more than yearly, it will offer a better choice than Retirement Plan 1.

Lastly, if Retirement Plan 2 makes a yearly deposit of $2,500 into the savings account, it will offer a far better option than Retirement Plan 1.

The number of years worked at 55 years = 30 (55 - 25)

Retirement plan 1's future value = $600,000 ($20,000 x 3)

Retirement plan 2's future value =  $358,426.60

N (# of periods) = 30 years

I/Y (Interest per year) = 18%

PV (Present Value) = $2,500

PMT (Periodic Payment) = $0

Results:

Future Value (FV) = $358,426.60

Total Interest = $355,926.6

Thus, given the plan requirements and based on their future values,  Retirement Plan 1 should be chosen.

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Which retirement plan do you choose, assuming you retire at 55 years?

The graph is representing the function that is positive for the entire interval [-3 , -2] .

In the question ,

four graphs are given ,

we need to identify the graph of the function that is positive for the interval [-3 , -2] .

From the graphs given  , we observed  that

Graph1 :

the value of the function at -3 is 0 ,  and it is decreasing from [-3 , -2] . Thus the function is negative in the interval.

Grpaph2:

we can clearly see that the function has a positive value, through the interval [-3 , -2] .

In Graph3 :the value of the function is negative in the given interval .  and in Graph4 : the value of the function is both positive and negative in the given interval .

Therefore , the function represented by Graph 2 is positive .

The given question is incomplete , the complete question is

Which function is positive for the entire interval [-3 , -2] from the given graphs ?

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The hourly growth rate parameter is equal to 2.22%.

In Mathematics, an exponential function simply refers to a mathematical function whose values are generated by a constant that is raised to the power of the argument.

Mathematically, an exponential function can be modeled by using this equation:

A(t) = ae^{kt}

Where:

Based on the information provided, we have the following:

A(t) = 1100e^{6k}   .....equation 1.

A(6) = 1257      .....equation 2.

Equating the two equations, we have:

1100e^{6k} = 1257

e^{6k} = 1257/1100

e^{6k} = 1.1427

Taking the natural log (ln) of both sides of the equation, we have:

6k = ln(1.1427)

6k = 0.1334

Hourly growth rate, k = 0.1334/6

Hourly growth rate, k = 0.0222

As a percentage, we have:

Hourly growth rate, k = 0.0222 × 100

Hourly growth rate, k = 2.22%.

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Answer:

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

Step-by-step explanation:

CM = 16m

BM = 20m

YZ = 13m

m∠B = 39

m∠M = 34

m∠Y = 107

May I please have a brainliest? Thank you!

The pairs of numbers that have HCF 4 and LCM 60 are : 4 and 60 , 12 and 20.

In this case, we must use the following relationship between HCF and LCM:

Number 1 + Number 2 = HCF x LCM

In other words, multiplying both factors equals multiplying the given numbers that we are looking for. We don't know the numbers yet, but we can get an idea of what they could be by calculating the product of the factors:

4 x 60 = 240

We know that the products should be 240 and that if the HCF is 4 , then both numbers can be divided by 4 as the highest factor, so let's write the multiple of 7:

4-digit multiples:

4, 8, 12, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60

By using, we can get an idea: if 60 x 4 = 240, all we need to do is find the other two numbers that result in 240:

So the pairs of numbers are 4 and 60 , 12 and 20.

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An isosceles triangle therefore has both two equal sides and two equal angles.

What is traiangle?

A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

What is isosceles triangle?

An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.

Any triangle with (at least) two equal sides is said to be isosceles. The remaining side in the previous illustration has length in addition to the two equal sides. This characteristic equates to the triangle's two angles being equal. Therefore, an isosceles triangle has two equal sides as well as two equal angles. The Greek words iso (same) and skelos are the source of the name (leg).

An equilateral triangle is one in which all of its sides are equal, whereas a scalene triangle is one in which none of its sides are equal. Therefore, an equilateral triangle is a specific example of an isosceles triangle that has equal sides and angles on all three of its faces. The isosceles right triangle is yet another unique instance of an isosceles triangle.

The Pythagorean theorem can be used to determine the height of the isosceles triangle shown in figure:

[tex]h = \sqrt{b^2-\frac{1}{4}a^2 }[/tex]

Consequently, the region is given by:

A=1/2ah

A = [tex]\frac{1}{2}a\sqrt{b^2-\frac{1}{4}a^2 }[/tex]

[tex]A = \frac{1}{2}a^2\sqrt{\frac{b^2}{a^2}-\frac{1}{4} }[/tex]

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The  value of this expression when w = -5 in w² +  3w - 11 is -1

Algebraic expressions comprises of at least one variable and one operation, it is an expression built up from integer constants, variables, and the algebraic operations

We need to find the value of this expression when w = -5 in w² +  3w - 11

After substituting the value of x as 5, we get the expression as

5² + 3(-5) - 11

25 - 15 - 11

25 - 26

= -1

Therefore, the value of this expression when w = -5 in w² +  3w - 11 is -1

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Answer:

Simplied:

2/3

Step-by-step explanation:

So basically so look at the factors and find that 6 and 9 both divided by 3 so 6/3=2 and 9/3=3

so 2/3

But if you are looking for equivalent:

8/12

6/9= 0.66 repeating which is 60/90 (I think)

HOPE THIS HELPS!!

Answer:

14.5

Step-by-step explanation:

You would use cos for this. 12/cos 56 = 14.5...Therefore you would have 14.5

The value of x in the triangle using trigonometric identities is 14.5 units.

Option A is the correct answer.

We have,

Sin x = Perpendicular / Hypotenuse

Now,

From the triangle,

Sin 56 = 12/x

0.83 = 12/x

x = 12/0.83

x = 14.46

x = 14.5

Thus,

The value of x in the triangle is 14.5 units.

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A set of triangles can be proven to be congruent using the angle-side-angle rule. According to the SAS rule, two triangles are congruent if their two included sides and two angles are the same as those of another triangle.

According to the Side-Angle-Side theorem of congruency, two sides and the angle they produce are congruent if they are equivalent to two sides and the included angle of another triangle.

Therefore, the side angle side formula or the area of the triangle using the SAS formula = 1/2 × a × b × sin c.

Hence we get the required answer.

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Answer:

Step-by-step explanation:

You want the amounts invested in each of two accounts, one earning 7% and the other earning 8% simple interest, when the total investment of $30,000 earns total interest of $2370.

Let x represent the amount invested at 8%. Then the amount invested at 7% is 30000-x. The total interest earned is ...

  0.08(x) +0.07(30000-x) = 2370

  0.01x +2100 = 2370 . . . . simplify

  0.01x = 270 . . . . . . . . subtract 2100

  x = 27000 . . . . . . . multiply by 100

  30000-x = 3000

Deshaun invested $27,000 at 8% and $3,000 at 7%.

Answer:

A

Step-by-step explanation:

The volume in cubic inches is [tex](36)(18)(6)=3888[/tex].

This is equal to [tex]3888/12^3=2.25[/tex] cubic feet.

A dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

Given that, a dairy farmer wants to mix a 45% protein supplement.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Let x be number of pounds farmer wants to mix a 45% protein supplement.

Here,

0.45x + 0.15(1200-x) = 0.40(1200)

⇒ 0.45x +180-0.15x = 480

⇒ 0.30x=480-180

⇒ 0.30x=300

⇒ x=300/0.30

⇒ x=1000

Here, 45% of 1000

= 450 pounds

15% of (1200-100)

= 0.15×200

= 30 pounds

40% of 1200

= 480 pounds

Therefore, a dairy farmer needs to mix 450 pounds of protein supplement, 30 pounds of protein ration and 480 pounds of high-grade protein ration.

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C (3rd Answer)

1st term is 900 and as n increases (number of terms increase), each time it goes down by 50 if n is greater than 1.

Triangles that are exactly the same in size and shape are said to be congruent. Two triangles are said to be congruent when their corresponding sides and angles are also congruent.

What is Traingle?

A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Using the Triangle Sum Theorem, we can determine the third angle in a triangle when only two angles are known.

The two angles' combined angles are subtracted from 180 degrees.

The diagram needs a third angle. Try to match the angles and sides of two triangles with the provided information if the congruence statement is not provided in the problem.

List the corresponding vertices in the same order once the vertices of the two triangles have been matched. The congruence assertion reads as follows if vertex A relates to vertex D, vertex B to E, and vertex C to F:

                                △ABC≅△DEF

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles are still congruent even if we flip, spin, or otherwise alter one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

Likely, these two triangles are congruent if we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle.

When two angles and a non-included side in a triangle are congruent to one another, this is the final scenario that results in congruent triangles.

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Answer:

One solution, One solution, Infinitely many solutions, One solution, No solutions

Step-by-step explanation:

There are no solutions if the equations represent parallel lines.

There is one solution if the equations represent intersecting lines.

There are infinitely many solutions if the equations can be manipulated to be exactly the same.

Answer:

Step-by-step explanation:

i just need the points bro

The solution to a linear equation can be found by balancing the variables.

A linear equation is one that carries a degree of one as its maximum value. None of the variables in these equations, thus, has an exponent greater than one. Moreover, the graph of these equations will always also be a straight line. A mathematical equation resembles a balance scale with identical weights on either side.

An equation remains valid even if the same integer is added to or subtracted from both sides. Similarly to this, an equation is accurate if the same integer is multiplied or divided into both sides. We place the constant on one side of the equation, and the variables on the other, and then we calculate the value of the unknown variable. This is how a linear equation with a single variable is solved.

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The value of function f(1/2) = 9.

What is function?

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between input variables in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x seems to be the input. A function is typically represented as y = f. (x). In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) as well as their outputs (also referred to as the codomain), where each input does have exactly one output and the output could be linked to its input.

Given function f(x) = (4+x)/x

put x = 1/2,

f(x) = (4+1/2)/1/2

f(x) = 9/2/1/2

f(1/2) = 9

Now f(3) = (4+3)/3

=7/3

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The inverses of the functions  y= x⁹ and y= x¹¹ are functions.

The inverses of the functions y = x⁴ and y= x⁸ are not functions.

(a )Consider ,the inverse of the function is a function

(2 ) y= x⁹

The inverse of the function is given by,

x = [tex]\sqrt[9]{y}[/tex]  

Here y is an element of the real numbers.

i.e. y ∈R

So, this is a function.

(4) y= x¹¹

The inverse of the function is given by,

x = [tex]\sqrt[11]{y}[/tex]

Here y is an element of the real numbers.

i.e. y ∈R

Similarly , this is a function.

(b ) Consider ,the inverse of the function is a not a function

(1  )y = x⁴

The inverse of the function is given by,

x =  [tex]\sqrt[4]{y}[/tex] (y ≥0)

It is of one- one correspondence,

when y = 4 ,

x = ±√2

Thus, it is not a function.

(3)  y= x⁸

The inverse of the function is given by,

x = [tex]\sqrt[8]{y}[/tex]

Likewise , this is not a function.

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Answer:

There are 6468 yes votes

Step-by-step explanation:

10164÷(7+4)×7

=10164÷11×7

=924×7

=6468

The expansion of the polynomial expression is −5q²x² + 25qx²

The polynomial expression is given as

−5qx^{2} ( − q − 5 ) =

Rewrite the expression properly

So, we have the following representation

−5qx²(−q − 5)

Remove the bracket

So, the expression becomes

−5qx²(−q − 5) = −5qx² * −q −5qx² * − 5

Evaluate the products

−5qx²(−q − 5) = −5q²x² + 25qx²

Hence, the expanded expression is −5q²x² + 25qx²

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The root domain in the DNS system of the Internet is a domain that is indicated by an empty name (i.e., containing no characters).

Each domain is split from the next when you enter a domain name, and there may also be a dot at the end of the name to demarcate the empty name for the root domain. If this dot is present and in its proper location, such as "www.example.com," the domain name is regarded as full (absolute). The name is regarded as relative if there isn't a dot at the end ("www.example" or "www.example.com").

Even if the phrase "root domain" was frequently used, the primary domain name of the website is the one that must be purchased or registered with a TLD extension.

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Answer:

Graph the order pair (0,2)

Step-by-step explanation:

(0,2) is the y-intercept.  This is where the graph crosses the y axis.  From that point, you would then go down 4 and right 3.  That is what the slope tells you.  You would be at the point( (-4, 5).  Now that you have two points, you would draw a straight line through them.

The value of variable x is 19.20.

Let's find the value of variable x in the equation.

A variable is a number represented with letters in an equation.

Therefore,

x / 6 + 4 / 10 = 3 + 6 / 10

Therefore, let's find the variable x.

10x + 24 / 60 =  30 + 6 / 10

10x + 24 / 60 = 36 / 10

60 × 36 = 10(10x + 24)

2160 = 100x + 240

2160 - 240 = 100x

1920 = 100x

divide both sides by 100

x = 1920 / 100

x = 19.20

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Answer:

The product of 5 and the sum of 3 and 1 is 20

Step-by-step explanation:

Equation:

5*(3+x)=20

15+5x=20

5x=5

x=1