What are the x-coordinates of the solutions to this system of equations?
x² + y² = 16
y = x + 4

Answers

Answer 1

The x-coordinates are -4 and 0.

What Are The X-coordinates Of The Solutions To This System Of Equations?x + Y = 16y = X + 4

Related Questions

Sarah bought snacks for her team's practice. She bought a bag of chips for $1.56 and a 20-pack of juice bottles. The total cost before tax was $33.96. Write and solve an equation which can be used to determine j, how much each bottle of juice cost.

Answers

The equation is 1.56 + 20x = 33.96 and the value of x is 1.62.

What is Equation?

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

Here, Based on the given conditions, formulate: 1.56 + 20 × x = 33.96

Rearrange unknown terms to the left side of the equation:  20x = 33.96-1.56

Calculate the sum or difference: 20x = 32.4

Divide both sides of the equation by the coefficient of variable: x = 32.4/20

Calculate the product or quotient: x = 1.62

get the result: x = 1.62

Thus, the equation is 1.56 + 20x = 33.96 and the value of x is 1.62.

Learn more about Equation from:

https://brainly.com/question/2263981

#SPJ1

divided it by 7 and added 25. the result was 34 what was my number?
25. the result was 34 what was my number?

Answers

Answer:63

Step-by-step explanation:

63/7+25=34

Answer:

x = 63

Step-by-step explanation:

we know that...

(x will be the stand-in for "your number")

x ÷ 7 + 25 = 34

(x ÷ 7) + 25 = 34

To find x, we have to isolate x

first, we can subtract 25 from both sides (remember, if you do an action on one side, you must do the same action on the other side)

{why are we subtracting? we need to do the opposite of a sign to get rid of it. By subtracting, we are undoing addition; by multiplying we are undoing division (and vice versa)  }

(x ÷ 7) + 25 = 34

          - 25    - 25     (subtract 25)

x ÷ 7 = 9

  × 7    ×7       (multiplying by 7 to get rid of the "÷7")

x = 63

now, we can test out our x-value:

(63 ÷ 7)  +25 = 34

( 9 ) + 25 = 34

34 = 34

because this equation is true, we can be certain that x = 63

hope this helps!

City worker drain a community pool that contains 403,920 gallons of water. The pump they use removes water at a rate of 40 cubic feet per minute. One cubic foot of water contains 7.48 gallons how long in hours will it take to remove all the water from the pool

Answers

Answer:

22.5 hours

Step-by-step explanation:

One cubic foot of water contains 7.48 gallons, so 40 cubic feet of water would equal 7.48 × 40, or 299.2 gallons. So the pumping rate is 299.2 gallons per minute. Multiplying 299.2 by 60, we have

299.2 × 60, or 17952 gallons per hour. Finally, divide 403,920 by 17,952 to find the number of hours to remove all the water: 403,920 ÷ 17,952 = 22.5 hours

Please help! To solve the equation 1.75n = 7 for n, what operation must be applied to both sides in order to isolate the variable n?

Answers

Answer:

C

Step-by-step explanation:

1.75n = 7 ( to isolate n divide both sides by 1.75 )

n = [tex]\frac{7}{1.75}[/tex] = 4

Answer:

c.)  Divide by 1.75

Step-by-step explanation:

Given equation:

⇒ 1.75n = 7

Here the coefficient of n which is 1.75 needs to be removed. There is only one way of doing that - by dividing both sides by 1.75.

When done so:

⇒ 1.75n/1.75 = 7/1.75

⇒ n = 4

Using the following image, solve for JI.
J
2x + 28
x + 22
5
H

Answers

In the given image, the length of JI is 6

Solving linear equations

From the question, we are to solve for JI

From the given image, we can write that

JI + IH = JH

Then,

2x + 28 + 5 = x + 22

Solving for x

2x + 28 + 5 = x + 22

First, collect like terms

2x - x = 22 - 28 - 5

Simplifying

x = -11

But,

JI = 2x + 28

∴ JI = 2(-11) + 28

JI = -22 + 28

JI = 6

Hence, the length of JI is 6

Learn more on Linear equations here: https://brainly.com/question/27979747

#SPJ1

find the size of unknown angle

Answers

Answer:

x° = 75

(x + 30)° = 105°

Step-by-step explanation:

supplementary angle is two angles that sum is 180°

x° + (x + 30)° = 180°

2x + 30 = 180°

2x + 30 - 30 = 180 - 30

2x = 150

2x / 2 = 150 / 2

x° = 75

plug in 75,

75 + 30 = 105

check: 75 + 105 = 180

Answer: 75 degrees

Step-by-step explanation:

Do you see how both sides of the angle come together to form the straight line seen at the bottom? This means that these are supplementary angles.

Supplementary Angles: Both sides have to add up to a total of 180 degrees.

With this, form an equation: x+(x+30)= 180

Get rid of the parenthesis:

x+x+30= 180

Combine like terms.

2x+30= 180

2x= 180-30

2x= 150

x= 150÷2

x= 75

Checks:

x+x+30= 180

75+75+30= 180

You can also check using the equation in its simplified form: 2x+30= 180.

2x+30=180

2(75)+30=180

150+30=180

Hence x=75

100 PTS!! PLEASE HELP! OVER DUE

Answers

Answer:

[tex]-\frac{1}{2} \vec {c}[/tex]

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because [tex]\frac{4}{4}=1=\frac{-2}{-2}[/tex]

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that [tex]k \vec{c} = \vec {d}[/tex], or equivalently, [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex].

If [tex]kc_x=d_x[/tex] and [tex]kc_y=d_y[/tex], we just need to substitute known values and solve for k:

[tex]kc_x=d_x\\k(4)=(-2)\\k=\dfrac{-2}{4}\\k=-\frac{1}{2}[/tex]

Double checking that k works for the y-coordinates as well:

[tex]kc_y=d_y[/tex]

[tex](-\frac{1}{2}) (4)[/tex]    ?    [tex](-2)[/tex]

[tex]-2=-2 \text{ } \checkmark[/tex]

So, [tex]-\frac{1}{2} \vec {c} = \vec {d}[/tex]

Answer:

Step-by-step explanation:

Look at the component form of each vector.

Note that vector c is <4,4> and vector d is <-2,-2>

If one imagined the line that contained each vector, the line for both would have a slope of 1, because

Since they have the same slope they are parallel, but since they are in opposite directions, we often call them "anti-parallel" (simply meaning parallel, but in opposite directions).

If two vectors are parallel, one vector can be multiplied by a scalar to result in the other vector.  This means that there is some number "k", such that , or equivalently,  and .

If  and , we just need to substitute known values and solve for k:

Double checking that k works for the y-coordinates as well:

   ?    

So,

the diagram shows a logo

Answers

Answer:

where is the digram may i see the digram

The function f(x) = x² has been translated 9 units up and 4 units to the right to form the function g(x). Which represents
g(x)?
O g(x) = (x + 9)² + 4
O g(x) = (x + 9)²-4
Og(x)=(x-4)² +9
Og(x) = (x+4)² +9

Answers

Answer:

g(x) = (x-4)² +9

Step-by-step explanation:

If f(x) is moved up 9 units, it becomes x² + 9, as only the 'y' value is changed by 9. Then, if it is moved 4 units to the right, it becomes (x+4)² +9, as only the 'x' value is changed by -4.

The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,

⇒ g(x) = (x-4)² + 9.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Now, To translate the function f(x) = x² with 9 units up and 4 units to the right, we need to use the following formula:

⇒ g(x) = f (x - 4) + 9

Substituting f(x) with its equivalent form:

⇒ g(x) = ( x - 4 )² + 9

Therefore, The function g(x) that represents the translation of f(x) = x² with 9 units up and 4 units to the right is,

⇒ g(x) = (x-4)² + 9.

Learn more about transformation visit:

https://brainly.com/question/30097107

#SPJ5

which is NOT an arithmetic sequence
-7,0,7,14

0,5,1,1.5

10,6,2,-2

2,4,8,16​

Answers

Answer:

2,4,8,16

Step-by-step explanation:

2,4,8,16

difference is multiplied by 2

Pls help me solve this equation

Answers

Answer:

a

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

to find c substitute (6, 4 ) into the partial equation

4 = 2 + c ⇒ c = 4 - 2 = 2

y = [tex]\frac{1}{3}[/tex] x + 2 ← equation of line

i do not now these questions

Answers

Using proportions, it is found that:

a) 5 people are needed.

b) Yes.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Item a:

Each person works for 32 hours, and 150 hours are needed, hence the number of people needed is given by:

150/32 = 4.6875.

However, an integer number is needed, hence 5 people are needed.

Item b:

With 30 hours, the number of people needed is given by:

150/30 = 5.

Which remains the same.

More can be learned about proportions at https://brainly.com/question/24372153

#SPJ1

vincent mows 8 lawns in 2 hours. how many lawns are mowed in 5 hours .

Answers

Vincent mowed 20 lawns in 5 hours

Answer:

20 lawns

Step-by-step explanation:

What is the area of Vivian’s garage door?

Answers

The area  of Vivian’s garage door is 62.5 square feet

Area of composite shape.

The Vivian garage is made up of a trapezoid and a rectangle. The area of the door is expressed as;

Area = Area of rectangle + area of trapezoid

Area = (5 * 8) + 0.5(7 + 8)*3
Area= 40 +22.5
Area = 62.5 square feet

Hence the area  of Vivian’s garage door is 62.5 square feet

Learn more on composite shapes here: https://brainly.com/question/8370446

#SPJ1

The tables represent the functions f(x) and g(x). f(x) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g(x) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions? x = -3 O x = -1 x = 0 Ox=1 The tables represent the functions f ( x ) and g ( x ) . f ( x ) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g ( x ) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions ? x = -3 O x = -1 x = 0 Ox = 1​

Answers

Answer:

x=1

Step-by-step explanation:

There are two functions (f & g), each of which have a table of inputs and outputs.  The same list of inputs is given to both functions, but the outputs are different.

Imagine that you asked your Father 6 questions, (weirdly instead of numbered 1 through 6, numbered -3 through 2), and that he gave you a list of answers.

Imagine that you asked your Grandfather the same 6 questions, and you got a list of answers from him.

On which question did they give the same answer?

It was on question number "1", (really the 5th question, but as we've numbered things from -3 to 2, it's question "1").


Since the "questions" were the input, "x", x=1.

he height of a rocket a given number of seconds after it is released is modeled by h (t) = negative 16 t squared + 32 t + 10. What does t represent?

the number of seconds after the rocket is released
the initial height of the rocket
the initial velocity of the rocket
the height of the rocket after t seconds

Answers

Answer: the number of seconds after the rocket is released

Sofia is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What would be Sofia's test score (out of 100) if she got 8 questions wrong? What would be her score if she got xx questions wrong?

Score with 8 questions wrong:
Score with xx questions wrong:
need answer quickly

Answers

60 points! Because 8 questions wrong would be - 40 points and its out of 100 points so 60 points

Answer:

60 points

100 - 5x

Step-by-step explanation:

If she got 8 questions wrong she missed (8 * 5) points or 40 points. This means she only got 60 points

This can be further generalized by simply subtracting the amount of questions someone got wrong by 5 from the total available points of 100

100 - 5x

7 is what percent of 154?

Answers

Answer: 10.78

Step-by-step explanation:

copy machine can make 250 copies in 4 minutes. Represent
rate of change in copies per minute.

Answers

Answer:

62.5 copies per minute

Step-by-step explanation:

Note that the word "per" means divide.  So, a rate of change in "copies per minute", means a number of copies divided by a number of minutes

If the copy machine can make 250 copies in 4 minutes, then the number of copies is 250 copies, and the number of minutes is 4 minutes:

[tex]\text{rate of change in copies per minute}=\dfrac{\text{number of copies}}{\text{number of minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=\dfrac{\text{250 copies}}{\text{4 minutes}}[/tex]

[tex]\text{rate of change in copies per minute}=62.5\dfrac{\text{copies}}{\text{minute}}[/tex]

I need help with this

Answers

Step-by-step explanation:

please mark me as brainlest

the answer is C ! pls mark me as brainliest

if(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​

Answers

Answer:

a = 4/3 and b = 0

============================

Given expression:

[tex]\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}[/tex]

Simplify it in steps:

Step 1

Bring both fractions into common denominator:

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}[/tex]

Step 2

Simplify:

[tex]\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =[/tex]

[tex]\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =[/tex]

[tex]\dfrac{4\sqrt{14} }{7-4} =[/tex]

[tex]\dfrac{4}{3} \sqrt{14} }[/tex]

Step 3

Compare the result with given expression to get:

a = 4/3 and b = 0

2^x - 3^x = √(6^x - 9^x)

Answers

[tex]2^x-3^x=\sqrt{6^x-9^x}\\\\D:6^x-9^x\geq0 \wedge 2^x-3^x\geq0\\D: 6^x\geq 9^x \wedge 2^x\geq3^x\\D:x\leq0 \wedge x\leq 0\qquad(\text{if }a < b \text{ then } a^x < b^x\text{ for } x > 0 \text{ and } a^x > b^x \text{ for } x < 0 )\\D:x\leq 0\\\\(2^x-3^x)^2=6^x-9^x\\(2^x-3^x)^2=3^x(2^x-3^x)\\\\\text{We divide both sides by } 2^x-3^x \text{ assuming }2^x-3^x\not=0\Leftrightarrow x\not=0.\\\\2^x-3^x=3^x\\2^x=2\cdot3^x\\\ln 2^x=\ln (2\cdot3^x )\\x\ln 2=\ln 2+\ln 3^x\\x\ln 2=\ln 2+x\ln 3[/tex]

[tex]x\ln 2-x\ln 3=\ln 2\\x(\ln 2-\ln 3)=\ln 2\\x=\dfrac{\ln 2}{\ln 2-\ln 3}=-\dfrac{\ln 2}{\ln 3-\ln 2}=-\dfrac{\ln 2}{\ln \frac{3}{2}}\approx-1.7[/tex]

For [tex]x=0[/tex], our initial equation is obviously true.

Therefore [tex]x\in\left\{-\dfrac{\ln 2}{\ln \frac{3}{2}},0\right\}[/tex].

Answer to the miscellaneous equation, is x=0 and x=-1.71

Miscellaneous equation are the equations which are not polynomial

The question can be solved by:

Factorising Splitting the terms to find the required solution

Completing the squares, etc

2ˣ - 3ˣ = √(6ˣ - 9ˣ)

Squaring both sides,

2²ˣ+3²ˣ -2.2ˣ.3ˣ=2ˣ.3ˣ - 3²ˣ

2²ˣ+2.3²ˣ -3.2ˣ.3ˣ=0

Factorising the terms,

2ˣ(2ˣ-3ˣ) -2.3ˣ(2ˣ-3ˣ)=0

(2ˣ-3ˣ)(2ˣ-2.3ˣ)=0

Equating the braces to zero,

Either,

2ˣ=3ˣ

x=0

or

2ˣ=2.3ˣ

Taking log on both sides

xln2=ln2+xln3

x=ln2/(ln2-ln3)

  =-1.71

Therefore, x=0 and x=-1.71 is the only solution

Learn more about miscellaneous equation: https://brainly.com/question/121433

#SPJ10

A=(3+[tex]\frac{a+\sqrt{a} }{\sqrt{a}+1 }[/tex])(3-[tex]\frac{a-5\sqrt{a} }{\sqrt{5}-5 }[/tex])

Answers

The simplification of the given algebra we see is; 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

How to Simplify Algebra?

We are given the algebra expression;

A = [3 + ((a + √a)/(√a + 1))][3 - ((a - 5√a)/(√5 + 5))]

When we multiply out, we will get;

9 + 3((a + √a)/(√a + 1)) - 3((a - 5√a)/(√5 + 5)) - [((a + √a)/(√a + 1)) * ((a - 5√a)/(√5 + 5))]

⇒ 9 + 3((a√a + a - a + √a)/(a - 1)) - ³/₂₀((√5 - 5)(a - 5√a)) - (a² - 4a√a - 5a)/((√a + 1)*√5 + 5))

Read more about Algebra at; https://brainly.com/question/4344214

#SPJ1

x2) Triangle ABC is an isosceles triangle with BA = BC 72° D lies on AC ABD is an isosceles triangle with AB = AD Angle ABD = 72° 36 A D Show that triangle BCD is isosceles. You must give a reason for each stage of your working. ​

Answers

An isosceles triangle is one with two equal-length sides. The ΔBCD is an isosceles triangle.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Given ΔABC is an isosceles triangle with side AB = AC. Therefore, as per the base angle theorem,

∠A = ∠C = 36°

Also, in ΔABC, the sum of the angles can be written as,

∠ABC + ∠BAC + ∠BCA = 180°

∠ABC + 36° + 36° = 180°

∠ABC = 108°

For ∠ABC we can write,

∠ABC = ∠ABD + ∠CBD

108° = 72° + ∠CBD

∠CBD = 36°

Now, in ΔBCD, the measure of ∠CBD and ∠DCB both equals to 36°. Therefore, we can write, that the ΔBCD is an isosceles triangle.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ1

Use the given graph to determine the limit, if it exists.

Answers

The limit in the given graph [tex]\lim_{x \to \ 2^{-} } f(x)[/tex] is 3 and [tex]\lim_{x \to \ 2^{+} } f(x)[/tex] is -2

Given graph of a function and we have to determine the limits when x tends to 2 minus and when x tends to 2 plus.

When we see the graph we can find that the graph is not of the linear function because it is not straight line.

From x=2 and onwards it gives values values of only -2 because it is parallel to x-axis at y=-2.From x=2 and leftwards it gives values values of only 3 because it is parallel to x-axis at y=3.

Hence the limit of the function whose graph is shown is 3 and -2.

Learn more about limits at https://brainly.com/question/27517662

#SPJ10

What is the circumference of the circle shown below? (Round your answer to the nearest tenth.) A. 33.0 B. 66.0 C. 346.4 D. 206.2​

Answers

Answer:

B. 66.0

Step-by-step explanation:

The formula for circumference is 2*π*r where r is the radius. MS and MR are both radii, so we can plug in 10.5 to the formula to get 2* π*10.5, which would be about 65.97, which rounds to 66.0. Hope this helps!

In 2000, the number of people with a home phone in Indiana was 3,286,000. If the number of home phones have decreasing by 4% each year,
how many Hoosiers will have a home phone in 2011? Round to two-decimal places.
Hoosiers
Pause test

Answers

3286000x4/100=131440

131440x11=1445840

3286000-1445840=1840160

Answer: 1840160

this is the answer I got but for some reason the answer didn't turn out to be in decimal :( but I sware this is the answer I got

Jamaal is allowed to walk no farther than three blocks in either direction from his house. If his house is located on the 57th block of the town, which absolute value equation can be used to determine the farthest block to which Jamaal is allowed to walk?

|x – 57| = 0
|57 – 3| = x
|3 – 57| = x
|x – 57| = 3

Answers

Answer:

| x - 57 | = 3

Step-by-step explanation:

Since the house is on the 57th block, Jamaal must stop walking on the 54th block or the 60th block.

Tomas learned that the product of the polynomials
(a + b)(a ab + bf) was a special pattern that would
result in a sum of cubes, a3 + b3. His teacher
put four
products on the board and asked the class to identify
which product would result in a sum of cubes if a =
2x and b = y

Answers

The product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

Product that would result in a sum of cubes

Given:

Product of polynomials=(a + b)(a²- ab + b²)

Sum of cubes=a³+ b³

Hence,

a³+ b³ = (a + b) (a²-ab + b²)

When:

a=2x

y=b

So,

a³+ b³= (2x + y ) [ (2)² - (2x) (y) + y²)  

a³+ b³= (2x + y ) [ 4x² - 2xy + y²]  

a³+ b³ = (2x + y)(4x² – 2xy + y²)

Therefore the product  that would result in a sum of cubes if a =2x and b = y is: (2x + y)(4x² – 2xy + y²).

Learn more about product that would result in a sum of cubes here:https://brainly.com/question/14305581

#SPJ1

Luis and Raul are playing Odds or Evens. Both friends flip a coin. If both coins land on heads or if both coins land on tails, then Luis wins both coins. If one coin lands on hea
No, the game is not fair because Raul has a higher probability of winning than Luis.
Yes, the game is fair because both friends have an equal probability of winning.
No, the game is not fair because Luis has a higher probability of winning than Raul.
Yes, the game is fair because the friends do not have an equal probability of winning.

Answers

Answer:

B

they both have equal probability of winning as both of them have a 50/50 chance of winning

Step-by-step explanation:

Yes, the game is fair because both friends have an equal probability of winning.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The game of Odds or Evens is not fair because Raul has a higher probability of winning than Luis.

In this game, the probability of both coins landing on heads or both coins landing on tails is 1/2 * 1/2 = 1/4.

Therefore, there is a 1/4 probability that Luis will win both coins.

However, there is a 1/2 probability that one coin will land on heads and the other will land on tails. In this case, Raul will win both coins because he chose "evens" and the sum of the numbers is even.

The sum of two random coin flips has an equal probability of being even or odd, so the probability of Raul winning both coins is 1/2.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ2

Other Questions
Which of these four sets of side lengths will form a right trangle?Set 14 cm 5 cm 6 cmSet 310 mm 20 mm 30 mmO Set 1O Set 2O Set 3O Set 4Set 28 in, 12 in 20 inSet 412 R 16 R 20 R 10 The table shows the scientific names and the common names of four plants.scientific nameAlthea officinalisHottonea palustrisViola palustrisViola tricolorcommon namemarshmallowwater violetmarsh violetwild pansyWhich word in their names shows that two of the plants share the greatest number of features?A marshB palustrisC ViolaD violet help me, thankyouuu sm!!2. Find the value of supplementary angle of y for each polygon.3. Calculate the sum of the exterior angles for the triangle. Then, compare with the sum of exterior angles of pentagon.4. Derive a formula to obtain the value of interior angle of a regular n-sided polygon without calculating the value of its interior angle What are the main purposes of regulatory policies? Check all that apply.Oto protect constitutional rights, safety, and fairnessOto give producers an advantage over consumers in order to protect profitsto ensure that property rights are protectedto create regulation in a mixed-market economy only when neededto allow producers and consumers to interact freely with no government interference Suppose Jenny places 9500 in an account that pays 13% interest compounded each year. Assume that no withdrawals are made from the account. Two dice are rolled. What is the probability of getting a sum equals 5?Probability = (Round to 4 decimal places) Which of the following equations is equivalent to 2x 4 = 6? Penalties for violating provisions of the responsible beverage service program are meant to serve as. In a recent year (365 days), a hospital had 5705births.a. Find the mean number of births per day.b. Find the probability that in a single day, there are 17births.c. Find the probability that in a single day, there are no births. Would 0 births in a single day be a significantly low number of births? Which function is graphed below? For the statement below, fill in the blank with the answer that makes the statement true.In the House of Representative, votes are based on the statespopulationfinances and wealthpopularitydate it was establish The number of employees working for Sprockets R Us in 2005 was 8110, with an expected decrease of 0.5% per year. At the rate of decrease given, what is the expected number of employees working at Sprockets R Us in 2006? Round your answer to the nearest integer. Which number is in the solution set of the inequality -5x - 7 > 28? Choose all the definitions below that apply to geopolitics Group of answer choicesa combination of political and geographic factors relating to a statea combination of political and geographic factors relating air, water, or oila study of the influence of such factors as geography, economics, and demography on the politics and especially the foreign policy of a state What would be the mass, in grams, of 2.408 x 1024 molecules of tetraphosphorus decaoxide? In a recent study, 50 males used a new weight-loss supplement, and 37 of them experienced weight loss after two weeks: In the same study, 20 females usedthe same supplement, and 13 of them experienced weight loss after two weeks.Fill in the blanks below to make the most reasonable statement possible.The new weight-loss supplement was less effective on (Choose one) in the study. That is because only % of them lostweight after two weeks, whereas % of the (Choose one) lost weight after two weeks. At the beginning of a snowstorm, Amadou had 2 inches of snow on his lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Amadou have on his lawn 4 hours after the snow began to fall? How much snow would Amadou have on his lawn after tt hours of snow falling Follow the steps to find thearea of the shaded region.First, use the formulabelow to find the areaof the whole sector.Sector Area =angle of sector360tor) rSector Area = [?] cmRound to four decimal places.14 cm4614 cm 21. You and your sister have been saving and decide to buy a PlayStation 5 together. You need $500 to buy the PlayStation. Together you have $850 saved up. Since you have more money, you contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each of you have saved individually? Words with the word root "dorm will have a meaning related tobirth.the body.the earth.sleep.