I would really appreciate it if anyone could do it I can’t get help because my parents are fighting rn

\(2x+x-11+3-7x=15\\3x-8-7x=15\\-4x-8=15\\-4x=23\\x=-\frac{23}{4}\)

Answer:

D. x = -23/4

Step-by-step explanation:

2x+x-11+3-7x= 15

Combine like terms

2x + x - 7x -11 + 3 = 15

= -4x - 8 = 15

= - 4x = 15 + 8

= -4x = 23

= x = -23/4

Therefore x = -23/4

Answer:

2/3 is the scale factor of the sequence

A well formatted table of the distribution is attached below :

Answer:

0.124

0.733

0.408

Step-by-step explanation:

Using the table Given :

1.) P(AP Statistics) = 90 / 725 = 0.124

2.) P(12th grade ; Precalculus or AP Statistics) = (100 + 65) / 225 = 165 /225 = 0.733

3.) P(Algebra 11 | 11th grade) = P(Algebara11 n 11th grade) / P(11th grade) = 100 / 245 = 0.408

Answer:

tan(θ)= dn/de

θ=arctan(dn/de)

Step-by-step explanation:

Domain: all reals, (-∝, ∝)

All inputs for x result in a solution.

Answer:

  x = 48.40'

  y = 33.01'

Step-by-step explanation:

These are all segments of a right triangle, so the Pythagorean theorem applies.

  x^2 = 46.07^2 +14.82^2 = 2342.0773

  x = √2342.0773 ≈ 48.40

__

  x^2 = 35.39^2 +y^2

  y^2 = 2342.0773 -35.39^2 = 1089.6252

  y = √1089.6252 ≈ 33.01

Units are feet for both numbers:

  x = 48.40'

  y = 33.01'

_____

You always start any question by reading the whole question, identifying the (relevant) given information, and understanding what the question is asking for. You then make an assessment of what you know about the relationships between the given information and what is asked. Finally, you develop a strategy for getting from what you know to what you need to know.

Here, you're given segment lengths of right triangles, and you're asked for other segment lengths. This is not a trig problem--no angles are involved. It is a straight Pythagorean theorem problem. To make use of that theorem, or any formula, you need to have only one unknown. So, you can't start by solving the bottom triangle; you have to start with the upper one where there is only the unknown side x.

After you find x, then you have two known sides in the bottom triangle, so you can find y.

Here, x is an intermediate value in the computation of y. You do NOT use the rounded answer to the question when you're computing y. Rather, you use the full calculator precision for x, so that y can have best accuracy. Only at the end do you round to hundredths.

The explicit formula that represents the nth term of the sequence will be aₙ = 18 - 7n.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The arithmetic sequence is given below.

11, 4, -3, .....

The first term is 11. And the common difference is given as,

d = 4 - 11

d = - 7

The explicit formula that represents the nth term of the sequence is given as,

aₙ = a₁ + (n - 1)d

aₙ = 11 + (n - 1)(-7)

aₙ = 11 - 7n + 7

aₙ = 18 - 7n

The explicit formula that represents the nth term of the sequence will be aₙ = 18 - 7n.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ1

Answer:

5/6 is the probability

Step-by-step explanation:

Factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24 and rolling a 6-sided die you can get 1, 2, 3, 4, 5, 6 so 5 is the only thing you can roll that isn't a factor of 24 so

Answer:

Below

Step-by-step explanation:

Well in my head I can multiply 5 x 24 000 =   120 000 then add  5x12=60 to get   120 060

Answer:

The magnitude of the vector is 9.165 and it's direction is 40.6°

Step-by-step explanation:

A vector quantity is a quantity that has both size (magnitude) and direction. Examples of vector quantities are force, velocity and impulse.

Magnitude of vector v is given by

|v| = √6²+7²

= √36+49

= √84

= 9.165

Direction of vector v is obtained by:

\( \tan( \theta) = \frac{x}{y} \)

\(\theta = {tan}^{ - 1} ( \frac{6}{7}) \)

\(\theta = {40.6°}\)

Learn more about vector quantities from: https://brainly.in/question/3437975

#SPJ1

The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

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

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

Read more about rate of change at

https://brainly.com/question/31965106

#SPJ1

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Answer:

Filling the values we have;

Explanation:

Given the data on the given table, we want to fill them in a stem leaves plot.

The tens values would be in the stems while the unit values will be written in their corresponding leaves.

Filling the values we have;

Answer:

H= -35/4

Decimal form: -8.75

Explanation:

Hello there. To solve this question, we'll have to remember some properties about functions.

Given the functions:

We have to determine what type of functions are f(x) and g(x), as well as their key features and see which of them are common to both f and g.

First, f(x) is a polynomial function, as you can see you have a linear combination of x powers. In fact, it is a cubic function.

g, on the other hand, is an exponential function, as you can see by the term 2^x.

The key features of f, that is, domain, range, x and y-intercepts are:

Domain -

Since it is continuous over all the real line.

Range -

Because in fact f, as a polynomial function, is defined as:

Of course, one can say that there are some functions that the range is not all the real numbers. A simple counterexample is in fact a quadratic function with vertex at (xv, yv). The range will be either defined as all the values above or below yv.

But when we're talking about cubic functions, we have in fact the range as the entire real line.

The x-intercept is given by plugging y = 0, that is, solving for the roots of f

In fact, we'll have a real solution (the only that interests us) and two conjugate complex solutions, approximately:

The y-intercept is given by plugging x = 0:

So y = 4 is the y-intercept of this cubic equation.

Its graph may looks like this:

Now, moving for g:

As said before, g is an exponential function.

So it is defined as:

Of course, this definition for g is unique, since not all functions are defined like this for being exponential.

The domain, as you can see, is all the real numbers, since you can plug anything into 2^x - 4 and evaluate it to some number.

The range, as suggested by the definition given for g, is all the real numbers greater than -4, since 2^x is a power of 2, a positive number, it cannot be zero or negative no matter the choice of x made.

All exponential functions of this form have an asymptote at y = 0 (given the property of positive powers). But in this case g is translated 4 units down, so we say it has an asymptote at y = -4.

Therefore its domain is in fact the entire real line:

And the range is

The x-intercept is the roots of the function, that is

Add 4 on both sides of the equation

Take the base 2 logarithm on both sides of the equation

So the only real solution to this function is x = 2.

The y-intercept is found by plugging x = 0:

So we can finally say that the only key feature that f and g have in common is the domain.

The various answers to the question are:

a)

A number of extension lines needed to accommodate $90 in calls immediately:

Use the calculation for busy k servers.

\($$P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$$\)

The probability that 2 servers are busy:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{2}=\frac{\frac{\left(\frac{20}{12}\right)^{2}}{2 !}}{\sum_{i=0}^{2} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

Hence, two lines are insufficient.

The probability that 3 servers are busy:

Assuming 3 lines, the likelihood that 3 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{2} \frac{\left(\frac{\lambda}{\mu}\right)^{i}}{i !}}$ \\\\$P_{3}=\frac{\frac{\left(\frac{20}{12}\right)^{3}}{3 !}}{\sum_{i=0}^{3} \frac{\left(\frac{20}{12}\right)^{1}}{i !}}$$\approx 0.1598$\)

Thus, three lines are insufficient.

The probability that 4 servers are busy:

Assuming 4 lines, the likelihood that 4 of 4 servers are busy may be calculated using the formula below.

\(P_{j}=\frac{\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}}{\sum_{i=0}^{k} \frac{\left(\frac{\lambda}{\mu}\right)^{t}}{i !}}$ \\\\$P_{4}=\frac{\frac{\left(\frac{20}{12}\right)^{4}}{4 !}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{7}}{i !}}$\)

Generally, the equation for is  mathematically given as

To answer 90% of calls instantly, the organization needs four extension lines.

b)

The probability that a call will receive a busy signal if four extensions lines are used is,

\(P_{4}=\frac{\left(\frac{20}{12}\right)^{4}}{\sum_{i=0}^{4} \frac{\left(\frac{20}{12}\right)^{1}}{i !}} $\approx 0.0624$\)

Therefore, the average number of extension lines that will be busy is Four

c)

In conclusion, the Percentage of busy calls for a phone system with two extensions:

The likelihood that 2 servers will be busy may be calculated using the formula below.

\(P_{j}=\frac{\left(\frac{\lambda}{\mu}\right)^{j}}{j !}$$\\\\$P_{2}=\frac{\left(\frac{20}{12}\right)^{2}}{\sum_{i=0}^{2 !} \frac{\left(\frac{20}{12}\right)^{t}}{i !}}$$\approx 0.3425$\)

For the existing phone system with two extension lines, 34.25 % of calls get a busy signal.

Read more about signal

https://brainly.com/question/14699772

#SPJ1

Using System of equations, the value of x = -1.

A system of equations is a collection of equations with one or more variables. Systems of equations have solutions that are either the variable mappings that satisfy each component equation or the intersections of all of these equations.

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. A system of equations is defined as two or more equations with the same variables. An equation system has a solution at the point where the lines intersect. There are four methods for resolving systems of equations: graphing, substitution, elimination, or matrices.

Solve equation [1] for the variable  y

[1]    y = 4x

Plug this in for variable  y  in equation [2]

 [2]    -(4x) + 3x = 1

 [2]     - x = 1

Solve equation [2] for the variable  x

 [2]    x = - 1

By now we know this much :

  y = 4x

  x = -1

Use the  x  value to solve for  y

  y = 4(-1) = -4

To learn more about system of equations refer to:

brainly.com/question/25869125

#SPJ1

The youngest age for which the average income of a lawyer is $275,000 is 27.91 year.

Quadratic Equation helps solve quadratic equations. First, put the equation into the form ax²+bx+c=0. where a, b, and c are the coefficients. Then plug these coefficients into the equation.

(-b±√(b²-4ac))/(2a) . See examples of solving various equations using formulas

The average annual income, I, in dollars, of a lawyer with an age of x years is modeled with with the following function:

I = - 425x² + 45500x - 650000 .......... (1)

If the average annual income of the lawyer at the age of x years is $275000, then from the equation (1) we can write

- 425x² + 45500x - 650000 = 250000

I=-425x^(2) + 45,500x-650,000

275000 = -425x^(2) + 45,500x-650,000

-425x^(2) + 45,500x -650000-275000=0

425x^(2) -45,500x +925000=0

x = 900/17 ± 10√(1810)/17

= 77.96 and 27.91

here we are not accepting the ans 77.96 because we have already less value which is 27.91 so final ans will be 27.91

know more about Quadratic Equation  click here;

https://brainly.com/question/14313960

#SPJ4

Answer:

  63 sets

Step-by-step explanation:

  (567 markers)/(9 markers/set) = 567/9 sets = 63 sets

__

The total number of markers in all the sets (s) will be ...

  9s = 567

Divide both sides of this equation by 9 to find the number of sets:

  9s/9 = 567/9

  s = 63

Mrs. Bowlin created 63 sets of markers.

Answer:

the answer to this question is $2,350

Step-by-step explanation:

june has 30 days so $75 × 30 + $100 = $2,350

In 12 years, Maxwell will deposit $290 into the savings account each month.

To calculate how much money Maxwell will deposit into the account each month in 12 years, we need to determine the pattern of increasing deposits over time.

Maxwell deposits $125 into the savings account each month this year, which we can consider as Year 1. Starting from Year 2, he plans on increasing the monthly deposit by $15.

In Year 2, the monthly deposit will be $125 + $15 = $140.

In Year 3, the monthly deposit will be $140 + $15 = $155.

This pattern continues, increasing the deposit by $15 each year.

Therefore, in Year 12, the monthly deposit will be $125 + ($15 * 11) = $125 + $165 = $290.

For more such questions on deposit

https://brainly.com/question/29053212

#SPJ8

9514 1404 393

Answer:

  56 mph, 26 mph

Step-by-step explanation:

The trains are separating at the rate of (205 mi)/(2.5 h) = 82 mi/h. If we let s represent the speed of the slower train, then that sum of their speeds is ...

  s + (s+30) = 82

  2s = 52 . . . . . . . . . . subtract 30

  s = 26 . . . . . . . . . divide by 2

  s +30 = 56 . . . the speed of the other train

The speeds of the two trains are 56 mph and 26 mph.

The transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

A Transformation in Math is a process of moving an object (two-dimensional shape) from its original position to a new position.

Given that, a function f(x) undergo some transformations to become f(x+9)-1,

We know that,

Vertical Shifting:

Adding a constant to a function will shift its graph vertically (i.e. y = f (x) + c). Adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.

Horizontal Shifting:

Horizontal shifts are inside changes that affect the input (x-) axis values and shift the function left or right. Combining the two types of shifts will cause the graph of a function to shift up or down and right or left.

Therefore, there is transformation of a horizontal and vertical shift.

Hence, the transformations taking place in the given function is a horizontal left ward shift of 9 units and 1 unit upward vertical shift.

Learn more about transformations, click;

https://brainly.com/question/29194193

#SPJ9

The sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a volume of a cubical box is 54.872 cm³

V = 54.872 cm³

As we know the volume of the cube:

V = side³

54.872 = side³

Taking cube root on both sides:

side = 3.8 cm

Thus, the sides length of the cubical box is 3.8 cm if the volume of a cubical box is 54.872 cm³ option second is correct.

Learn more about the cube here:

brainly.com/question/15420947

#SPJ1

the expression describing all the angles that are coterminal with 8° is: θ = 8° + 360°k, where k is an integer.

How to solve and what is angle?

An angle of 8° has an initial side on the positive x-axis and rotates counterclockwise by 8°.

Any angle coterminal with 8° can be expressed as:

θ = 8° + 360°k

where k is an integer.

Therefore, the expression describing all the angles that are coterminal with 8° is:

θ = 8° + 360°k, where k is an integer.

An angle is a geometric figure formed by two rays, called the sides of the angle, that share a common endpoint, called the vertex of the angle. Angles are typically measured in degrees or radians and are used to measure the amount of rotation or turn between two intersecting lines or planes.

To know more about angle related question visit:

https://brainly.com/question/28451077

#SPJ1

The values under and inside the radical is 4 and 129 respectively

A quadratic equation is any equation that can be rearranged in standard form as where x represents an unknown value, and a, b, and c represent known numbers. One supposes generally that a ≠ 0; those equations with a = 0 are considered degenerate because the equation then becomes linear or even simpler.

A quadratic equation is given as ax²+ bx+ c=0

this can be solved using formula x=( -b±√b²-4ac)/2a.

in the equation 2x²-10=7x, it can be Rearranged As 2x²-7x-10= 0

a= 2, b= -7 and c= -10

x= -(-7)±√(-7)²-4×2×-10)/2×2

x= 7±√49+80)/4

x= 7/4 ± √129/4

therefore the values inside and under the radical is 129 and 4

lear more about quadratic equation from

https://brainly.com/question/28038123

#SPJ1

Answer:

Step-by-step explanation:

To simplify the expression (2r-2)(-r-7), we can use the distributive property, which states that a(b+c) = ab + ac.

First, we'll distribute the -r from the second set of parentheses to the -2 and 7:

(2r-2)(-r-7) = (2r-2)(-r) + (2r-2)(-7)

Next, we'll multiply 2r and -r, and 2r and -7:

(2r-2)(-r) + (2r-2)(-7) = -2r^2 + 2r + 14r - 14

Finally, we'll combine like terms:

-2r^2 + 2r + 14r - 14 = -2r^2 + 16r - 14

So, (2r-2)(-r-7) = -2r^2 + 16r - 14.

Answer:

Simple foil method

First

Outer

Inner
Last

(2r-2)(-r-7)

First: 2r * -r = -2r^2

Outer: 2r* -7 = -14r

Inner: -2 * -r = 2r

Last: -2 * -7 = 12

Add em all up.

-2r^2 -14r + 2r +12

Combine like terms

-2r^2 -12r + 12