please help urgent!!!!!

The missing term in the equation (x + 9)² = x² + 18x + is 81. The simplified form of the (x + 9 )² = x² + 18x + 81. The correct option is C.

Given

(x + 9)² =  x² + 18x +----

Required to find the missing term =?

It is given the form of ( a + b)² = a² + 2ab + b²

Putting the given values in the above form we get the value of the missing term from the equation

(x + 9 )² = x² + 2 × x ×9 + 9 × 9

              = x² + 18x + 81  

A quadratic equation is a second-order polynomial equation in one variable that goes like this: x ax2 + bx + c=0, where a 0. Given that it is a second-order polynomial equation, the algebraic fundamental theorem ensures that it has at least one solution. Real or complicated solutions are both possible.

Thus, we get the value of the missing term as 81.

Thus, the ideal selection is option C.

Learn more about missing terms in the equation here:

https://brainly.com/question/15467729

#SPJ1

the average value of f(x) = 4x sec^2 x on the interval [0,pi/4] is 1/2

To calculate the average value of f(x) = 4x sec2 x on the interval [0,pi/4], we can use the following formula:
Average value = (1/b-a)∫baf(x)dx

Where a is the lower bound (0) and b is the upper bound (pi/4).

Therefore, the average value of f(x) = 4x sec2 x on the interval [0,pi/4] is:
Average value = (1/(pi/4 - 0))∫pi/404x sec2 xdx
Average value = (1/pi/4)∫pi/404x sec2 xdx
Average value = (1/pi/4)(2pi/4)

Average value = 1/2

the average value of f(x) = 4x sec^2 x on the interval [0,pi/4] is 1/2

To know more about Average value, refer here:

https://brainly.com/question/30858174#

#SPJ11

Answer:

$45.57

Step-by-step explanation:

First, calculate the dollar amount of the tax. This can be done by multiplying the price by the sales tax percentage

$42 × 8.5%= $3.57

Now, add the sales tax amount back to the price.

42 + 3.57 = 45.57

In "The Strangers That Came to Town," the event that prompts Tom and Andy to develop a sense of remorse is putting soap in the fish bucket. So, Second option is correct.

A person will feel the uneasy sensation of remorse if they regret prior behaviors they regard to be embarrassing, damaging, or inappropriate. Regret and guilt are intimately related, as are self-directed resentment. Due to guilt or in response to a number of other outcomes, such as receiving punishment for the action or inaction, a person may experience regret for a previous action or omission.

As a form of expressing regret, people may apologize, try to make amends for the hurt they have caused, or punish themselves. In trials, sentencing, parole hearings, and restorative justice, Western justice systems assess an offender's apparent regret in a courtroom environment. Epistemological problems arise when estimating an offender's level of regret.

To know more about remorse

brainly.com/question/22566308

#SPJ6

The equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.

A straight line is made up of an infinite number of points connected at their ends.

Any straight line's slope, "m," is determined by:

\(\rm m =\dfrac{y_2-y_1}{x_2-x_1}\)

The slope of the line y = -6x + 8

m = -6

The slope of the line passing point P (-1,-4)

M = -6

y - (-4) = -6(x - (-1))

y + 4 = -6(x + 1)

y = -6x - 10

Thus, the equation of the line passing through point P(-1,-4) that is parallel to y = -6x + 8 is y = -6x - 10.

Learn more about the straight line here:

brainly.com/question/3493733

#SPJ1

Answer:

1:2.5

Step-by-step explanation:

just divide each side by 2

Answer:

D. c(p) = 0.59p

Step-by-step explanation:

The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is C(p)=0.59p

The total cost, c(p), to purchase sugar is equal to the product of the pound cost equal to $0.59 and the number of pounds of sugar, p. Thus, the answer to this item is,

                                c(p) = ($0.59)p

We multiply the number of pounds of sugar, p, time the cost per pound ,.59, to get the total cost

c(p) = .59*p

The question is asking us to make the denominator a rational function by finding a way to remove the square root without changing the value of the overall function.

We can do this by multiplying the denominator and numerator by the √(4x + 7), since multiplying a root term by that root term = the number being rooted  (√x × √x = x).

   - 5x⁴         ×      √(4x + 7)    =    (-5x⁴)(√(4x + 7))  

√(4x + 7)              √(4x + 7)                 4x + 7

Answer:

Step-by-step explanation:

16% of 576

=16/100 x 576

=2304/25

=92 4/25

Answer:

Step-by-step explanation:

d.) y=-x+2 and y=x+17

I graphed these system of equations on Desmos and the first 3 showed that the lines are parallel meaning they will never touch meaning that they won't have a solution or that they won't intercept. And for the last one, when I entered the equations it showed the interception, which is (-7.5, 9.5)

(Hopefully this is right)

Answer:

-definition of cosine

-definition of sine

-Pythagorean Theorem

-Substitution

-laws of exponents

Step-by-step explanation:

The blanks are filled by the definition of cosine, the definition of sine,  Pythagorean Theorem, substitution, and laws of exponents respectively.

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

Given the right triangle shown below, prove cos²(θ) + sin²(θ) = 1.

A triangle with sides x, y, and hypotenuse r.

Angle θ is opposite to side y.

As per the Laws of Cosine,

cos(θ) = x/r, and

As per the Laws of Sine,

sin(θ) = y/r.

Multiplying both sides of the above equations by r,

x = r cos(θ) and

y = r sin(θ).

The Pythagorean Theorem states that x² + y² = r².

By Substitution method, we have [r cos(θ)]² + [r sin(θ)]²= r².

Applying the Laws of Exponents, the equation can be written as r² cos²(θ) + r² sin²(θ) = r².

Dividing both sides of the equation by r² results in cos²(θ) + sin²(θ) = 1.

Hence, the blanks are filled by the definition of cosine, the definition of sine,  pythagorean theorem, substitution, and laws of exponents respectively.

Learn more about the right triangle here:

brainly.com/question/6322314

#SPJ2

The correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

What is the system of equations?

A system of equations is a set of two or more equations with the same variables. The goal of a system of equations is to find the values of the variables that simultaneously satisfy all the equations in the system.

The given equations are

3x + y = 12

x + 4y = 4

To graph the system of equations, we can start by finding the x-intercepts and y-intercepts of each line.

The x-intercept is the point where the line crosses the x-axis, which means that the y-value is 0. To find the x-intercept, we can set y = 0 and solve for x:

3x + y = 12

3x + 0 = 12

3x = 12

x = 4

So, the x-intercept of the first line is (4, 0).

Next, we can find the y-intercept, which is the point where the line crosses the y-axis, meaning that the x-value is 0. To find the y-intercept, we can set x = 0 and solve for y:

3x + y = 12

0 + y = 12

y = 12

So, the y-intercept of the first line is (0, 12).

We can repeat this process for the second line to find its x-intercept and y-intercept:

x + 4y = 4

x + 4 * 0 = 4

x = 4

So, the x-intercept of the second line is (4, 0).

Next, we can find the y-intercept by setting x = 0:

x + 4y = 4

0 + 4y = 4

4y = 4

y = 1

So, the y-intercept of the second line is (0, 1).

Now that we have found the x-intercepts and y-intercepts of each line, we can plot these points on a coordinate plane and draw lines through them to obtain the graph of the system of equations.

The graph shows a line with an x-intercept at (4, 0) and a y-intercept at (0, 12). There is a second line with an x-intercept at (4, 0) and a y-intercept at (0, 1).

Therefore, the correct graph of the system of equations is D) The graph shows a line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 1. There is a second line with an x-intercept at 4 comma 0 and a y-intercept at 0 comma negative 12.

To learn more about the system of equations, visit:

https://brainly.com/question/13729904

#SPJ1

a. The equation representing the water level L(x) (in ft), x days after January 1 is L(x) = 2.5 - 0.015x.

b. The inverse function for \(L^{-1}\) (x) is x = (2.5 - L)/0.015.

a. The function representing the water level L(x) (in ft), x days after January 1 can be written as:

L(x) = 2.5 - 0.015x

where x is the number of days after January 1.

b. To write an equation for \(L^{-1}\)(x), we need to find an expression for x in terms of L.

L(x) = 2.5 - 0.015x

0.015x = 2.5 - L

x = (2.5 - L)/0.015

Therefore, the equation for \(L^{-1}\)(x) is:

\(L^{-1}\)(x) = (2.5 - x)/0.015

This equation gives the number of days (x) required for the water level to reach a certain level (L).

Learn more about the inverse function at

https://brainly.com/question/2541698

#SPJ4

The question is -

Beginning on January 1, park rangers in Everglades National Park began recording the water level for one particularly dry area of the park. The water level was initially 2.5 ft and decreased by approximately 0.015 ft/day.

a. Write a function representing the water level L(x) (in ft), x days after January 1.

b. Write an equation for L^{-1} (x).

The equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The line that passes through the point (4, 8) and has a slope of -2.

On comparing the standard equation:

y = mx + c

Here m is the slope of the line and c is the y-intercept.

m = -2

y = -2x + c

Plug x = 4 and y = 8

8 = -2(4) + c

c = 16

y = -2x + 16

Thus, the equation of the line is y = -2x + 16 which passes through the point (4, 8) and has a slope of -2.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Based on the fact that the 11 digit number has to use every digit and the value of the digit in the million place is 10 times the value of the digit in the hundred thousand place, the digit is 32,561,100,000.

When making the digit, the main issue should be that the value of the digit in the hundred thousand place is ten times smaller than the value of the digit in the million place.

To keep things simple, that number can be 100,000 and the number in the million place would then be 1,000,000.

With that in mind, the last digits would be:

1,100,000

After doing this, then fill free to put in any digits in the first places:

=  32,561,100,000.

Find out more on writing numbers based on parameters at https://brainly.com/question/725981

#SPJ1

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin."

Afferent nerve fibers are axons (nerve fibers) of sensory neurons that carry sensory information from sensory receptors to the central nervous system. Many afferent projections arrive at a particular brain region. Afferent nerve fiber.

The chemical tracer commonly used to trace the paths of afferent axons is called "biocytin." Biocytin is a modified form of biotin that can be taken up by neurons and transported along their axons. It is often injected into a specific region of interest and allowed to diffuse throughout the neural tissue. Afferent axons originating from the injected area can then take up and transport the biocytin, allowing researchers to visualize and study their pathways using various histological techniques, such as immunohistochemistry or avidin-biotin complex staining.

For such more questions on Afferent Axon Tracing

https://brainly.com/question/9084290

#SPJ8

Answer:

option B

Step-by-step explanation:

Option B is in vertex (or graphing ) form.

recall the equation for graphing form of a quadratic is

\(y = (x - h)^{2} + k\)

Answer:

5 : 7

Step-by-step explanation:

groom's side: 40

bride's side: 56

ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7

Answer: 5 : 7

The statement that is true of the sample size for nonprobability samples is that it is typically small.

Nonprobability sampling methods are often used when it is not feasible or practical to obtain a large sample that is representative of the population.

Nonprobability samples are selected based on criteria other than random selection, such as convenience, judgment, or purposive sampling. These methods are commonly used in qualitative research or when studying hard-to-reach populations.

Since nonprobability samples do not guarantee representativeness, the focus is often on in-depth exploration rather than generalization to a larger population. As a result, researchers often work with smaller sample sizes that are more manageable and allow for in-depth analysis of the selected cases or individuals.

To learn more about nonprobability click here:

brainly.com/question/29062631

#SPJ11

Answer:

74 pounds

Step-by-step explanation:

g=2s

b=s+5

b=42

s=b-5

=42-5

=37

g=2×37

=74 pounds

Used the names as letters and work in an algabraic way.

Answer:

\( \frac{(3x - 2)}{5} = 2 \\ 3x - 2 = 10 \\ 3x = 2 + 10 \\ 3x = 12 \\ x = \frac{12}{3} \\ \boxed{x = 4}\)

Answer:

There isnt even a graph shown to graph on.

Answer:

attached

Step-by-step explanation:

1/4x ≤ 2   same as

x ≤ 8

Number line and 2 dimension graphs

Answer:

A

Step-by-step explanation:

First, simplify the numerator:

\(\frac{3 }{\sqrt{3} + \sqrt{x} } \\\)

Next, multiply the numerator and denominator by the opposite of the denominator to rationalize the expression.

\(\frac{3}{\sqrt{3}+\sqrt{x} }*\frac{\sqrt{3}-\sqrt{x} }{\sqrt{3}-\sqrt{x}}\)

Finally, evaluate the denominator by multiplying them together.

\(\frac{3(\sqrt{3}-\sqrt{x})} {(\sqrt{3}+\sqrt{x})(\sqrt{3}-\sqrt{x})}\)

Simplify:

\(\frac{3(\sqrt{3}-\sqrt{x})} {3-x}\)

And done! :)

For Researchers estimate the population mean, the total number of miles driven in a week by all participants in the study is equals to the 27 miles.

We have, a Researchers estimate the population mean for Seattle, \( \mu_1\) = 279 miles

And population mean of Sarasota, \( \mu_2\) = 152 miles

We have to estimate the total number of miles driven in a week by all participants. The point estimate of population is defined as the difference between the two population means. Thus, \( \mu_1 - \mu_2\)

= 279 - 152

= 27 miles

Hence, the required value is 27 miles.

For more information about population mean, visit:

https://brainly.com/question/28103278

#SPJ4

Answer:

1). y= -5+3x

2). y= -2x-13

3). y= -6x+2

4). y= -x+4

5). y≈ 0.57x

6). y=2x-9

7). Equation incomplete

8). y=3x+23

Step-by-step explanation:

1).

3x-y=5

Subtract 3x from both sides

-y=5-3x

Multiply both sides by -1

y= -5+3x

2).

y+7= -2(x+3)

y+7= -2x-6

Subtract 7 from both sides

y= -2x-13

3).

y= -10-6(x-2)

y=  -10-6x+12

y= -6x+2

4).

3x=12-3y

Add 3y to both sides

3x+3y=12

Subtract 3x from both sides

3y=12-3x

Divide both sides by 3

y= -x+4

5).

-4x-7y=0

Add 4x to both sides

-7y= -4x+0

Multiply both sides by -1

7y= 4x

Divide both sides by 7

y≈ 0.57x

6).

4x-2y=18

Subtract 4x from both sides

-2y= -4x+18

Multiply both sides by -1

2y=4x-18

Divide both sides by 2

y=2x-9

7).

y= 5-

Equation is incomplete.

8).

y-2=3(x+7)

y-2=3x+21

Add 2 to both sides

y=3x+23

Answer:

A

Step-by-step explanation:

We have a table listing the number of minutes Trayvon practiced the Backstroke and Butterfly on Monday, Wednesday, and Friday.

We want to find event that Trayvon spent more time practicing.

To do so, we add up all the minutes of one event and compare this to the total minutes of the other event.

Therefore, we can eliminate options C and D. These two options evaluate the time on Wednesday compared to other days, but we want to do is to find which event did Trayvon spend the longest on.

So, let's add up all the minutes spent doing the Backstroke. Trayvon over the course of the three days spent 12.5 mins, 15.67 mins, and 9.32 mins.

Therefore, the total minutes Trayvon spend practicing the Backstroke is:

\(12.5+15.67+9.32=37.49\text{ mins}\)

Now, let's add up all the minutes spent doing the Butterfly. Trayvon spent 14.333 mins, 12.1 mins, and 10.78 mins over the course of three days. So, the total time spent doing the Butterfly is:

\(14.333+12.1+10.78=37.213\text{ mins}\)

Trayvon spent a total of 37.49 minutes doing the Backstroke and 37.213 minutes doing the Butterfly.

37.49 is greater than 37.213. So, Trayvon spent more time practicing the Backstroke.

So, our correct answer is A.

There are some number and calculation errors in B.

And we're done!

Answer:

C

Step-by-step explanation:

On Monday he spent 12.5 min on backstroke and 14.33 min on butterfly.

He spent 26.83 min practicing at the Monday event.

On Wednesday: 15.67 min on backstroke and 12.1 min on butterfly.

He spent 27.77 min on practicing at the Wednesday event.

On Friday: 2.32 min on backstroke and 10.78 min on butterfly.

He spent 13.1 on practicing at the Friday event.

So, he spent more time at the Wednesday event.

Answer: 1 usd to thai baht is 33.44 thai baht or 33 thai baht

Step-by-step explanation:
There's no need for an explanation for this as you can just search this on the internet.

The pair of equations whose lines are perpendicular is (d) y = 1/6x + 3; y = -6x - 3

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

The pair of equations

By definition;

The slopes of perpendicular lines are opposite reciporcals

So, we have

(a) -1/3 and -3 false

(b) -3 and -6 false

(c) 3 and 3 false

(d) 1/6 and -6 true

Hence, the equations are (d) y = 1/6x + 3; y = -6x - 3

Read more about linear relations at

https://brainly.com/question/30318449

#SPJ1

Answer:

Step-by-step explanation:

If Katy buys 2 DVDs every 2 weeks, it the same as saying 1 DVD every week.

14 ÷ 2 = 7

2 × 7 = 14

1 × 14 = 14

Answer:21 dvds

Step-by-step explanation:

Set up a proportion in terms of DVDs to weeks and solve.

3/2 = x/14

(2)(x) = (3)(14)

2x = 42

x = 21

Therefore, Katy will buy 21 DVDs in 14 weeks.

brainliest pls?