Consider the algebraic expression √ 7 x 18 + 12.1 x 15 + π 4 x 6 + 1 9 . What is the degree of this polynomial? Identify the leading coefficient. Identify the leading term.

Answers

Answer 1

The degree of the provided polynomial is 18, and the leading term is √7.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

We have given an expression:

[tex]= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9[/tex]

As we can see in the expression the greatest degree is 18.

So the degree of the polynomial is 18

And the coefficient of the variable which has a height degree is the leading term.

The leading term = √7

Thus, the degree of the provided polynomial is 18, and the leading term is √7.

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Related Questions

Question is in attached file

Answers

The rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

What is a linear equation?

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.

We have:

The distance traveled by passenger train = 245 miles

The distance traveled by freight train = 245 miles

The time takes for both trains is the same.

Let's suppose the rate of the passenger train is x and the rate of the freight train is y;

As we know,

Distance = speed×time

245/x = 200/y

200x = 245y

200x - 245y = 0 ..(1)

x = 15 + y ..(2)

Equations (1) and (2) represent the situation.

After solving equations (1) and (2):

[tex]\rm x=\dfrac{245}{3}= 81.67\\\\\\\:y=\dfrac{200}{3}=66.67[/tex]

Thus, the rate of the passenger train is 81.67 MPH and the rate of the freight train is 66.67 MPH.

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Which is the graph of 2x - 4y > 6?
-4 -2
2
-2
2
RUTA
4-2
414
2
O
W
4 -4-2
414
2
-2
O
2
RY
4
-2
2
211

Answers

Answer:

  (d)  see attached

Step-by-step explanation:

There are a couple of quick checks you can do to identify the correct graph.

__

shading and line style

Find a variable with a positive coefficient, and write that in the given relation to the inequality symbol:

  x >

This tells you ...

shading is to the right of the line (where x-values are greater)the line is dashed (the = case is not included)location of the line

The x-coefficient is a factor of the constant, so the x-intercept of the boundary line is easily found. Set y=0, and you have ...

  2x = 6

  x = 3

The boundary line you're looking for has an x-intercept at x=3.

__

The correct graph is shown in the attachment.

Select the correct answer. Consider this function. Which graph represents the inverse of function f? The linear function on a coordinate plane passes through (4, 3), and (2, 2) which intercepts the axis at (0, 1), and (minus 2, 0). W. The linear function on a coordinate plane passes through (minus 4, 4), and (2, 1) which intercepts the axis at (4, 0), and (0, 2). X. The linear function on a coordinate plane passes through (3, 4), and (minus 1, minus 4) which intercepts the axis at (1, 0), and (0, minus 2). Y. The linear function on a coordinate plane passes through (minus 1, 4), and (2, minus 2) which intercepts the axis at (0, 2), and (0, 1). Z. A. W B. X C. Z D. Y

Answers

Answer:

A , C , D  , i thinks it another one but ionk

Step-by-step explanation:

A water tank in the shape of an inverted circular cone has a base radius of 3 m and height of 7 m . If water is being pumped into the tank at a rate of 4.3 m^3 / min , find the rate at which the water level is rising when the water is 3.5 m deep. (Round your answer to three decimal places if required)

Answers

The water level increases by 0.608 meters per minute when the water is 3.5 m deep

How to determine the rate?

The given parameters are:

Radius, r = 3Height, h = 7Rate in, V' = 4.3m^3/min

The relationship between the radius and height is:

r/h = 3/7

Make r the subject

r = 3h/7

The volume of a cone is;

[tex]V = \frac 13\pi r^2h[/tex]

This gives

[tex]V = \frac 13\pi (\frac{3h}{7})^2h[/tex]

Expand

[tex]V = \frac{3h^3}{49}\pi[/tex]

Differentiate

[tex]V' = \frac{9h^2}{49}\pi h'[/tex]

Make h' the subject

[tex]h' = \frac{49}{9\pi h^2}V'[/tex]

When the water level is 3.5.

We have:

[tex]h' = \frac{49}{9\pi * 3.5^2}V'[/tex]

Also, we have:

V' = 4.3

So, the equation becomes

[tex]h' = \frac{49}{9\pi * 3.5^2} * 4.3[/tex]

Evaluate the products

[tex]h' = \frac{210.7}{346.36}[/tex]

Evaluate the quotient

h' = 0.608

Hence, the water level increases by 0.608 meters per minute

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If there are 3500 students in a school and 3/7 of them
are majoring in business, how many of them are majoring in business?

Answers

Answer:

1500

Step-by-step explanation:

3/7 of 3500

=3/7 × 3500

=150

which matrix can be used to solve the system

Answers

Answer:

6x + 7y = 14

7x + 8y = 27

6 7. x = 14

7 8. y = 27

option B

Find the value below using your calculator. Round to the nearest hundredth. e³ Find the value below using your calculator . Round to the nearest hundredth . e³​

Answers

The value of e³ = 20.079.

What is Euler's number , e ?

e is an irrational number , It is a numerical constant used in mathematical constant .

The value of e = 2.718

It is asked in the question to determine the value of e³

Therefore

e³ = ( 2.718)³

e³ = 20.079

Therefore the value of e³ = 20.079.

The image of the calculation is attached with the answer.

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24. Show and explain clearly, how you would solve the following problem using John Mason's Model for problem solving: A lady rears goats and fowls in her backyard. She observed that there were 42 eyes and 66 legs in her backyard. How many fowls and how many goats are in the yard?

Answers

The number of fowls is 9, and the number of goats is 12 if there were 42 eyes and 66 legs in her backyard.

What is a linear equation?

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.

Let x be the number of fowls and

y be the number of goats

Then total eyes = 2x + 2y  

Because both have two eyes

2x + 2y = 42 ..(1)

Total legs = 2x + 4y

fowl has two legs and a goat has 4 legs

2x + 4y = 66 ..(2)

After solving two linear equation:

-2y = -24

y = 12

x = 9

Thus, the number of fowls is 9, and the number of goats is 12 if there were 42 eyes and 66 legs in her backyard.

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Solve for x in the triangle. Round your answer to the nearest tenth.
14
x
68
X

Answers

Answer:

x=15.1

Step-by-step explanation:

Side definitions

In a right triangle, the side across from the right angle is always the hypotenuse.

The other two sides are termed "legs".

Once one of the other two angles is chosen as the angle to work from, then the two legs can be defined as the "opposite" and the "adjacent"

The leg touching the angle is the "adjacent" leg (or adjacent side), and the leg across from the angle is the "opposite" leg (or opposite side).

Trigonometric function definitions

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\cos(\theta)=\dfrac{\text{adjacent side}}{\text{hypotenuse}}[/tex]

[tex]\tan(\theta)=\dfrac{\text{opposite side}}{\text{adjacent side}}[/tex]


The given situation

In this situation, the given angle is in the bottom right.  A value is given for the side opposite the given angle, and the requested value is on the hypotenuse.

So, the two sides of interest are the "opposite" and the "hypotenuse".  The trigonometric function that relates these two sides is the sine function.

Calculating x

[tex]\sin(\theta)=\dfrac{\text{opposite side}}{\text{hypotenuse}}[/tex]

[tex]\sin(68^o)=\dfrac{(14)}{(x)}[/tex]

Evaluating the sine function in a calculator (in degree mode):

[tex]0.9271838546...=\dfrac{14}{x}[/tex]

Multiply both sides by x:

[tex](0.9271838546...)x=\left (\dfrac{14}{x} \right)x[/tex]

[tex](0.9271838546...)x=14[/tex]

Divide both sides by the decimal number:

[tex]\left (\dfrac{(0.9271838546...)x}{0.9271838546...} \right)=\dfrac{14}{0.9271838546...}[/tex]

[tex]x=15.0994864...[/tex]

Rounded to the nearest tenth, x=15.1

Which of the following is a list that follows this pattern with its numbers: prime, prime, prime, composite, prime, prime 1, 5, 7, 9, 11, 13 1, 2, 5, 7, 9, 15 2, 4, 6, 8, 10, 12 11, 9, 3, 2, 5, 4, 8

Answers

The correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

What are prime and composite numbers?

Prime numbers:-

The prime number is defined as the number which is divided by 1 and itself.

Composite numbers:-

The number is defined as the composite number when the number is divided by 1 itself and any other numbers also.

From the given options we need to choose the pattern of the series { prime, prime, prime, composite, prime, prime } so we can see that in option A correct pattern is followed.

Pattern { 1, 5, 7, 9, 11, 13 }

1   → prime

5  → prime

7  → prime

9  → composite

11  → prime

13 → prime

Therefore the correct answer is option A which is the pattern {prime, prime, prime, composite, prime, prime} is followed by 1, 5, 7, 9, 11, 13.

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4. Use the formula for the area of a circle to derive the formula for the area of a sector.

Answers

The area of a circle to derive the formula for the area of a sector will be (θ/2π) x (area of the circle).

What is the area of the sector?

Let r be the radius of the circle. Then the area of the circle will be

Area = πr²

Let r is the radius of the sector and θ be the angle subtends by the sector at the center. Then the area of the sector of the circle will be

Area = (θ/2π) πr²

Area = (θ/2π) x (area of the circle)

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42+48/6=?
48/6 meaning a fraction not division

Answers

Answer:

50

Step-by-step explanation:

Fractions are division problems. :) You have to complete that first to solve the equation (PEMDAS).

48/6 = 8

42 + 8 = 50

On December 1, Jasmin Ernst organized Ernst Consulting. On December 3, the owner contributed $85,360 in assets in exchange for its common stock to launch the business. On December 31, the company’s records show the following items and amounts. Cash $ 7,010 Cash dividends $ 3,390 Accounts receivable 18,350 Consulting revenue 18,350 Office supplies 4,480 Rent expense 4,820 Office equipment 19,360 Salaries expense 8,370 Land 46,040 Telephone expense 910 Accounts payable 9,740 Miscellaneous expenses 720 Common stock 85,360

Answers

The income statement illustrates that the net income will be $3530.

How to calculate the income statement?

The income statement will be:

Revenue

Consulting revenue 18350

Expenses

Miscellaneous expenses 720

Rent expense 4820

Salaries expense 8370

Telephone expenses 910

Total expenses 14820

Net income = 18350 - 14820 = 3530

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4Days 7hours 16 minutes

Answers

Answer:

6190

Step-by-step explanation:

you multiply 4 days by 24 because a day have 24 hrs,then you will multiply the answer by 60 ,then after multiplying by 60 you will add 16 minutes and if you want to put is in seconds you multiply by 60 again that's what I know

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold. The business manager requires that a profit of at least $100 be earned every hour. The product manager estimates that the expenses for running the machine are $45 per hour. What is the least number of sweaters that must be produced each hour to earn a profit of at least $100?

Answers

The least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

A clothing manufacturer produces one type of sweater that earns $4 profit for each one sold.

Let x be the number of sweaters that must be produced each hour to earn a profit of at least $100

Total selling price if earns $4 profit for each one sold = 4x

The expenses for running the machine are $45 per hour.

4x - 45 ≤ 100

4x ≤ 145

x ≤ 145/4

x ≤ 36.25

Number of sweater(estimate value) = 37

Thus, the least number of sweaters that must be produced each hour to earn a profit of at least $100 is 37.

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Find two functions f(x) and g(x) such that h(x) = ( f∘ g)(x) , if h(x) = √ + 5

f(x) = ____________________

g(x) = ____________________

Answers

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

How to find the two functions behind a composed function

Let be f and g two functions, h is a composition of f with respect to g when the input variable of f is equal to g.  The composed function is h(x) = √x + 5 and there may be more than a solution. One of these solutions are f(x) = x + 5 and g(x) = √x.

If we know that h(x) = (f ° g) (x) = √x + 5, then f(x) = x + 5 and g(x) = √x by applying the binary operation of composition between two functions.

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Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?

Answers

The total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

What is total amount?

The amount that you get when you add several numbers or things together.

The total amount of money that Denise and Stacey spent at the carnival will be money spent on admission + ride + game.

Total amount = 2 * 6 + 2 ( 7 * c ) +  ( 3 * g + 2 * g )

                      = 2 * 6 + 14 * c + 5 * g

                      = 12 + 14c + 5g dollars.

Therefore, the total amount of money that Denise and Stacey spent at the carnival is 12 + 14c + 5g dollars.

The questions seems incomplete, its option could be:

12 + 14c + 5g 12 + 14g + 5c 12 + 7g + 5c 12 + 7c + 5g.

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16, 13, 10 is this sequence arithmetic or geometric and determine the common difference/ ratio in simplest form

Answers

Answer:

It is arithmetic progression

Step-by-step explanation:

If wwe see, the numbers are going down by 3 each time, therfore the common difference is 3

Hii!

_________________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

1. This sequence is arithmetic

2. The common ratio is 3.

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation.}}}\circ\leftharpoonup[/tex]

[tex]\bullet[/tex] Difference between arithmetic and geometric sequences

[tex]\twoheadrightarrow\sf Arithmetic\quad sequences[/tex] - In arithmetic sequences, we add the same amount to obtain the next term.

[tex]\twoheadrightarrow\sf Geometric\quad sequences[/tex] - In geometric sequences we multiply times the same amount to obtain the next term.

[tex]\bullet[/tex] Since we add the same amount to get the next term, the given sequence is arithmetic

[tex]\twoheadrightarrow\sf Common\;difference:-3[/tex]

[tex]\bullet[/tex] In the given sequence we add -3, or subtract 3, to obtain the next term

--

Hope that this helped! Best wishes.

[tex]\stackrel\ast{\textsl{Reach far. Aim high. Dream big.}}[/tex]

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Which relation below is NOT a function?
A. {(-2, 4), (1,3), (0,4)}
B. {(5,5), (4,4), (3,3) }
C. {(-4,0), (-7,0), (11, 0)}
D. {(1,4), (2,5) (1,7)}

Answers

Functions have a unique value of y for each value of x.
D has two possible values of y when x = 1 therefore it is NOT a function

In a board game, you gain 1.5x the number of coins in your purse every time you pass start. However, you max out at 300 coins. If you have 5 coins in your purse, how many times must you pass until you reach maximum?

Answers

Answer:

6

Step-by-step explanation:

The requried number of passes to reach the maximum is given as 10 passes.

What is an exponential function?

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,

We have 5 coins in your purse,
We Gain 1.5x the number of coins in your purse every time you pass the start. The maximum number of coins is 300.

According to the quesiton,
5 . 1.5ˣ = 300

Where x is the number of passes,
1.5ˣ = 60
x ≈ 10

Thus, the requried number of passes to reach the maximum is given as 10 passes.

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Tim earns 96pounds for 16 hours. Tim earns 'time and a half' for overtime. he works 4 hours of overtime in addition to his normal 16 hours. how much does he earn altogether​

Answers

find hourly rate:

96 / 16 = 6 pounds per hour

6 x 1.5 = 9 pounds per hour for overtime.

9 x 4 = 36 pounds


96 + 36 = 132 pounds total

132

196/16 = 6 per hr
overtime = 6*1.5=9
96 + (9*4) = 132

An unusually wet spring has caused the size of a mosquito population in some city to increase by 7​% each day. If an estimated 18​0,000 mosquitoes are in the city on May 9​, find how many mosquitoes will inhabit the city on May 19. Use y=18​0,000(1.07)x where x is number of days since May 9. Question content area bottom Part 1 On May 19 there will be approximately enter your response here mosquitoes. ​(Round to the nearest thousand as​ needed.)

Answers

There will be 354087.24 mosquitoes on the 19th of May.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division

.

Using the relation :

y = 180000(1.07)^x

x = Number of days since May 6 ;

y = Number of mosquitoes after x days

x = May 9 May 19  = 10 days

Therefore, a number of mosquitoes inhabiting the city on May 19 will be :

y = 180000(1.07)^10

y = 180000  x  1.96715136

y = 354087.24

y = 354087.24  (nearest whole number).

Therefore there will be 354087.24 mosquitoes on the 19th of May.

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You toss a coin and roll a number cube. The table shows the sample space,
where H means heads, T means tails, and the numbers represent the number
cube roll.
H
T
1
H1
T1
2
H2
T2
3
H3
T3
4
H4
T4
5
H5
T5
6
H6
T6
What is the probability of tossing heads and rolling a number less than 3?

Answers

Probability helps us to know the chances of an event occurring. The probability of tossing heads and rolling a number less than 3 is 1/6.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

The number of cases where coins land on heads and a number less than 3 are rolled is 2, which are H1 and H2.

The probability of tossing heads and rolling a number less than 3 is,

Probability = (Outcomes where coins land on heads and a number less than 3 are rolled)/(Total number of cases)

Probability = 2/12 = 1/6

Hence, the probability of tossing heads and rolling a number less than 3 is 1/6.

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Genesis throws a ball up in the air. The graph below shows the height of the ball hh in meters after tt seconds. Find the interval for which the ball’s height is decreasing.


help please

Answers

We conclude that the interval in which the function decreases is (1.5, 3]

In which interval is the ball's height decreasing?

The ball is decreasing when the graph, reading from left to right, is going downwards.

Particularly, in this parabola that opens downwards, the graph will decrease after the vertex.

And we can see that the vertex is at x = 1.5

And we also see that the graph of the function ends at x = 3.

Then we conclude that the interval in which the function decreases is (1.5, 3]

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On a coordinate plane, 2 exponential functions are shown. f (x) decreases from quadrant 2 to quadrant 1 and approaches y = 0. It crosses the y-axis at (0, 4) and goes through (1, 2). g (x) increases from quadrant 3 into quadrant 4 and approaches y = 0. It crosses the y-axis at (0, negative 4) and goes through (1, negative 2).
Which function represents g(x), a reflection of f(x) = 4(one-half) Superscript x across the x-axis?

g(x) = −4(2)x
g(x) = 4(2)−x
g(x) = −4(one-half) Superscript x
g(x) = 4(one-half) Superscript negative x

Answers

Answer: [tex]-4\left(\frac{1}{2} \right)^{x}[/tex]

Step-by-step explanation:

To reflect the graph of a function across the x-axis,

[tex]y=f(x) \longrightarrow y=-f(x)[/tex]

Answer:

c

Step-by-step explanation:

Pls help why did she flip the sign i dont understand

Answers

Answer:

See below

Step-by-step explanation:

When you multiply or divide both sides of an inquality equation by a NEGATIVE number , it reverses the symbol to see this in action:

- 4n >36       Instead of dividing by -4   let's ADD - 4n to both sides

0 > 36 + 4n    now SUBTRACT 36 from both sides

-36 > 4n       re-arrange just a little

4n < -36       <======== see how the symbol has reversed ???

n < -9        

Hii!

___________________________________________________________

Answer:

'Cause both sides were divided by a negative number! ^^

Step-by-step explanation:

The sign of the inequality was flipped because you divided both sides of the inequality by -4, which is a negative number.

When we divide, or multiply, both sides of an inequality by a negative number, we flip the inequality sign.

--

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What is the surface area of the figure? 9 ft 9 ft 15 ft 15 ft 4 ft

Answers

The surface area of the given composite figure is; 528 ft²

How to find the area of a composite figure?

To get the surface area of the attached composite shape, we will have to break the object down into smaller shapes to get;

Surface area 1 = 2(15 * 4) = 120 ft²

Surface area 2 = 2(9 * 4) = 72 ft²

Surface area 3 = 2(6 * 4) = 48 ft²

Surface area 4 = 2((15 * 15) - (9 * 9)) = 288 ft²

Thus;

Total surface area = 120 + 72 + 48 + 288

Total surface area = 528 ft²

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Would it be
A.
B.
C.
D.

Answers

Answer:

A. is the answer

The answer is a as it is a no

Briana monitors the number of E. coli infections reported in a certain
neighborhood in a given week. The recent numbers are shown in
this table:

According to her reports, the reported infections are growing at a
rate of 50%.

If the number of infections continues to grow exponentially,what
will the number of infections be in week 6?

Answers

An equation is formed of two equal expressions. The number of infections in 6 weeks is 456.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.


The general equation of an exponential function is written as,

y = A(B)ˣ

Since the infection is increasing at a rate of 50%, therefore, the rate of growth will be,

B = 1.50

Substitute any value then we will get,

40 = A(1.50)⁰

A = 40

Thus, the exponential equation of the growth will be,

y = 40(1.50)ˣ

Now, the number of infections in 6 weeks will be,

y = 40(1.50)⁶

y = 455.625 ≈ 456

Hence, the number of infections in 6 weeks is 456.

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which relation describes the graph?

Answers

Answer:

A.

Step-by-step explanation:

The other graphs answers have a point at (3, 1) which is not on the graph.

Other Questions
Use the In key on your calculator to estimatethe logarithm.In 49Round your answer to the nearest thousandth. Factorize: 1+4a+4a^2 Soldier explores sent to the Americas by spain There are four known types of somatotypes.TrueFalse A circle inside of a square. The square has side lengths of 5 meters.Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth. I NEED HELP ASAP!!!!Samuel entered the following key strokes on his calculator.5 EE (-) 9 divided by 2 EE 4What did Samuel's calculator display?A. 2.5E - 13B. 2.5E - 4C. 2.5E5D. 2.5E14Whoever gets this CORRECT may get MARKED BRAINLIEST. What 4 features do all chordates have? In ABC, CT is a median. What is the measure of AB?Fill in the blank by enter in just a number for your answer. Find the length of side BC.Give your answer to 3 significant figures.CA71B A ________________ is a group of microbes growing in a nutrient-rich environment. Please help due tomorrow What transformations could have been used to map ABCE onto ABCDE? state and explain the trend in electronegativity values across period 3 from sodium to chlorine Which quotation from "Self-Reliance" best summarizes Emersons view on belief in oneself?These are the voices which we hear in solitude...We but half express ourselves, and are ashamed of that divine idea which each of us represents.There is a time in every man's education when he arrives at the conviction that envy is ignorance...Nothing is at last sacred but the integrity of your own mind. The bacterial species Heliobacter pylori has been associated with the formation of stomach ulcers. The bacteria burrows into the mucosal lining of the stomach, degrading it and forming a hole. What type of innate defense is this bacteria overcoming Judges elected to positions on appellate courts serve terms of _____ and may not run for office again if they are 75 years old or older. Dilate the figure by the scale factor. Then enter the new coordinates.K= 2 person's motor skills areA. learned movementsB. automatic movementsC. instinctual movementsthat involve the coordinated use of body parts. state one example of 2 numbers where the LCM of the 2 numbers is the product of those numbers. explain your answers Given that y varies directly as x, find the percentage increase in y when x doubles. Consider the following hypothesis test: 0 : 12 a : 12 HH A sample of 25 provided a sample mean x = 14 and a sample standard deviation s = 4.32. a. Compute the value of the test statistic. b. Use the t distribution table to compute a range for the p-value. c. At a = 0.05, what is your conclusion? d. What is the rejection rule using the critical value? What is your conclusion?