The sale price of apples at a local grocery store is $1.35 for the first pound and $1.10 for each additional pound. Which function rule shows how the cost of apples, y, depends on the number of pounds, x?
1.)y = 1.10(x – 1) + 1.35
2.)y = 1.10x + 1.35
3.) y = 1.35x + 1.10
4.)y = (1.10 + 1.35)x

Answers

Answer 1

Answer:

  1.)  y = 1.10(x – 1) + 1.35

Step-by-step explanation:

When x pounds of apples are purchased, the number of "additional" pounds is (x-1). The cost of those additional pounds is then added to the cost of the first pound to get ...

  y = 1.10(x -1) +1.35

_____

Comment on the function rule

Personally, I think it is easier to write the rule as y = 1.10x +0.25, considering the first pound to have a $0.25 premium added to its otherwise $1.10 cost. This saves an operation when evaluating the formula for some value of x.


Related Questions

The following table gives the apples eaten in a week and the times sick in the year of 10 friends:


Describe the correlation between the apples eaten per week and the times sick per year.

Answers

Answer:

The correlation coefficient is 0 which implies no association between the number of apples eaten per week and the times sick in a year.

Step-by-step explanation:

The correlation coefficient between paired data gives information on the strength and the direction of the relationship between the paired data sets. The coefficient of correlation can imply strong or weak association as well as positive or negative association between data sets.

In the data given, the number of apples eaten per week can be used to explain the number of times an individual falls ill per year. This implies that the number of apples eaten per week is our explanatory or independent variable while times sick in a year is our response or dependent variable.

We can use Ms.Excel to compute the correlation coefficient between these two variables;

The first step is to enter the data in two adjacent columns in an excel workbook. We then type;

=CORREL

In an empty cell and enter the data arrays. This is an in-built function that computes the correlation coefficient.

Ms. Excel returns a correlation coefficient of 0. The correlation coefficient of 0 implies no association between the number of apples eaten per week and the times sick in a year.

The point (-2, 5) is located in quadrant

Answers

Answer: (-2, 5) Quadrant II

Step-by-step explanation:

For every point in the plane, we will identify the location using an ordered pair of the form (x, y).

The first coordinate, the x-coordinate, will refer to the number which corresponds with the point's horizontal location as determined by the number on the x-axis.

The second coordinate, the y-coordinate, will refer to the number which corresponds with the point's vertical location as determined by the number on the y-axis.

Quadrant II: x-coordinate is negative and y-coordinate is positive.

[tex]\textit{\textbf{Spymore}}[/tex]​​​​​​

The point (-2, 5) is located in the second quadrant.

What is the quadrant?

A quadrant is a region defined by the two axes (x-axis and y-axis) of the coordinate system.

Given the location of Point A at (-2, 5):

This implies that x = -3 and y = 5 represent the coordinates of Point A. In reference to the Coordinate Plane:

Quadrant I (x, y): This quadrant comprises positive x- and y-values.

Quadrant II (-x, y): This quadrant comprises negative x-values and positive y-values.

Quadrant III (-x, -y): This quadrant comprises negative x- and y-values.

Quadrant IV (x, -y): This quadrant comprises positive x-values and negative y-values.

Since the coordinates of point A is (-2, 5), this matches the description of the points located in Quadrant II.

Therefore, the point (-2, 5) is located in the second quadrant.

Learn more about quadrant here;

https://brainly.com/question/26148648

#SPJ2

Isabella has 7 bills, all tens and twenties. She has 100$ in all. How many ten dollar bills does she have

Answers

7 bills *10 and 20 dollar bills

= $100

20*3=60

3 bills used 4 left over

10*4=40

no bills left

60+40=100

Mark Brainlyest please

Answer:

4 ten dollar bills

Step-by-step explanation:

In order to explain Isabella has 3 twenty dollar bills

3(20)

and 4 ten dollar bills

4(10)

3(20) + 4(10) = 100

60 + 40 = 100

on edge

sorry I know this won't help you, author  but it might help people who are using edge in 2022

What is the difference? -6-(11)

Answers

Answer: [tex]=-17[/tex]

Step-by-step explanation:

 The first thing you must remember is the mulplication of signs. You know that:

[tex](+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]

You can observe that the number inside the parentheses is positive (+) and the sign that is outside the parentheses is negative (-), therefore, when you multiply these signs you get a negative sign (-). Then you get:

[tex]-6-(11)=-6-11[/tex]

Now, you need to add these numbers. And the result obtained is:

[tex]=-17[/tex]

Answer:

It’s -17

Step-by-step explanation:

I just got it right in the quiz

Which ordered pair is a solution of this equation? -7x - 5y = 42


(-5,0)
(0,-5)
(0,-6)
(-6,0)

Answers

(-6,0) is the ordered pair for this solution, you might want to double check though

-6,0 is the answer just substitute the numbers and boom

A 5'6" person walking down the street notices his shadow. If the angle of elevation from the tip of the shadow to the sun is 60°, what is the length of the shadow(round to 2 decimal places)?

Answers

Check the picture below.

Can you guys help me I don’t really understand area that well

Answers

Answer:

26026 ft²

Step-by-step explanation:

Area of Trapezium = 0.5 × ( a + b ) × h

a = 206, b = 132 and h = 154

Area of Trapezium = 0.5 × ( 206 + 132 ) × 154

Area of Trapezium = 0.5 × ( 206 + 132 ) × 154

Area of Trapezium = 26026 ft²

what is Tan 46 = x/12

Answers

Answer:

≈ 12.43 ( to 2 dec. places )

Step-by-step explanation:

Given

tan46° = [tex]\frac{x}{12}[/tex]

Multiply both sides by 12

12 × tan46° = x, so

x ≈ 12.43

The value of x is 12.426 in the equation Tan 46° = x/12

Tan 46° represents the ratio of the opposite side to the adjacent side in a right triangle with a 46° angle.

Using the tangent function, we have:

Tan 46° = x/12

To find the value of x, we can multiply both sides of the equation by 12:

12 ×Tan 46° = x

Now, we can calculate the value of x using the tangent of 46°:

x = 12×Tan 46°

x=  12 × 1.03553031374

x = 12.4263637649

Therefore, the value of x is 12.426

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ6

In parallelogram DEFG, DH = x + 2 HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to scale.

Answers

Final answer:

The problem involves finding the values of x and y in a parallelogram, using given segment lengths. Without an additional equation, we can only express one variable in terms of the other, resulting in the equation 4 = 3x + 2y.

Explanation:

The question is asking us to find the values of x and y in a parallelogram DEFG, where we know the lengths of some segments inside the parallelogram, specifically DH, HF, GH, and HE. As properties of a parallelogram dictate that opposite sides are equal in length, and segments DH and HF form one side, while segments GH and HE form the opposite side, we conclude that DH + HF must equal GH + HE.

Setting up the equation (x + 2) + (2y) = (4x - 3) + (4y + 1), we combine like terms, which gives us x + 2y + 2 = 4x + 4y - 2. Upon further simplification, by subtracting x and 2y from both sides, we get 4 = 3x + 2y. This equation allows us to express one variable in terms of the other.

Finding a specific value for x and y would require additional information, such as another equation involving x and y to solve this system of equations. Without this, we are limited to only expressing one variable in terms of the other.

A $4,500 savings account earns $540 in interest. What is the percent of increase on the original value? Show work please​

Answers

540:4500*100 =

(540*100):4500 =

54000:4500 = 12%

A pile of sand has a weight of 90kg.
The sand is put into a small bag, a medium bag and a large bag in the ratio 2 : 3: 7
Work out the weight of sand in each bag.
Small bag:
medium bag:
large bag:

Answers

Total Weight of sand =90Kg

Ratio in which sand is divided= 2:3:7

Let x be the fundamental unit in which the sand is divided.

By conservation of mass.

2x +3x + 7x= 90

=> 12x =90

=> x=90/12 =45/6=15/2=7.5

So Amount of sand in small bag=2×7.5=15Kg

Amount of sand in medium bag =3×(7.5)=23.5Kg

Amount of sand in Large bag =7×(7.5)=52.5 Kg

Hope it helps...

Regards;

Leukonov/Olegion.

Add the ratios to find the total shares:

2 + 3 +7 = 12

Divide the total weight by the number of shares:

90 kg/ 12 =7.5 kg per share.

Now multiple each share by the weight per share:

Small = 2 x 7.5 = 15 kg

Medium = 3 x 7.5 = 22.5 kg

Large = 7 x 7.5 = 52.5 kg

the table shows the results of 8 teams competing in a scavenger hunt. which team collected the most items? which team collected the fewest items?

Team: 1 2 3 4 5 6 7 8

Portion Collected: 3/4 0.8 77.5% 0.825 29/40 76.25% 63/80 81.25%

24 pts!

Answers

Answer:

.825 is the most items Team 4

29/40 is the least. Team 5

Step-by-step explanation:

.825= 82.5% which is the highest percentage collected.

29/40 = 72.5% which is the lowest percentage collected

As per the provided data, the fewest items collected by 5th team that is 72.5% and the largest item is collected by 4th team that is 82.5%

What is Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the data provided in the question,

Team 1  = 75 %

Team 2 = 80%

Team 3 = 77.5%

Team 4 = 82.5 %

Team 5 = 72.5 %

Team 6 = 76.25 %

Team 7  = 78.75 %

Team 8 = 81.25 %

Compare all the values, the largest item collected by 4th team and the fewest done by 5th team.

To know more about percentage:

https://brainly.com/question/29306119

#SPJ2

Solve.



x2 + x – 6 = 0



{2, –3}


{6, –1}


{3, –2}

{2, 3}

Answers

Answer:

x = - 3, x = 2

Step-by-step explanation:

Given

x² + x - 6 = 0 ← in standard form

To factorise the quadratic

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (+ 1)

The factors are + 3 and - 2, since

3 × - 2 = - 6 and 3 - 2 = + 1, hence

(x + 3)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 2 = 0 ⇒ x = 2

Which expression is equivalent to

Answers

Step-by-step explanation:

[tex]\log_{12}\left(\dfrac{\frac{1}{2}}{8w}\right)=\log_{12}\left(\dfrac{1}{16w}\right)\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_{12}(16w)^{-1}\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-1\log_{12}(16w)\qquad\text{use}\ \log_a(bc)=\log_ab+\log_ac\\\\=-\left(\log_{12}16+\log_{12}w\right)=-\log_{12}2^4-\log_{12}w\qquad\text{use}\ \log_ab^n=n\log_ab\\\\=-4\log_{12}2-\log_{12}w[/tex]

Mike wants to paint one wall of his room.
The wall measures 12 feet by 9 feet. On the
wall is one square window that measures 4
feet on each side. Which of the following best
describes the number of square feet Mike will
paint?

Answers

Answer:

92 squre feeeet you willllll paintttttttttttttttttttttt

Step-by-step explanation:

Find the cubed root of 512

Answers

Answer:

The cube root of 512 is 8

Step-by-step explanation:

The cube root of a number is expressed in radical form as;

[tex]\sqrt[3]{x}[/tex]

Using exponents, the above expression is equivalent to;

[tex]x^{\frac{1}{3}}[/tex]

512 can be expressed as;

2*2*2*2*2*2*2*2*2

This is equivalent to;

[tex]2^{9}[/tex]

Therefore;

[tex]512^{\frac{1}{3} }=(2^{9})^{\frac{1}{3} }=2^{3}=8[/tex]

The cube root of 512 is thus 8

Answer:

8

Step-by-step explanation:

8 into 8 into 8 is 512. b. NN n. NN

What is (a+2)(a+2) make sure to multiply

Answers

Answer:

a² + 4 a + 4

Step-by-step explanation:

( a + 2 ) ( a + 2 )

Expand brackets

a² + 2 a + 2 a + 4

Simplify

a² + 4 a + 4

[tex]\text{Hey there!}[/tex]

[tex]\text{(a + 2)(a + 2)}[/tex]

[tex]\text{In order for you to solve this, you need to DISTRIBUTE}[/tex]

[tex]\text{a(a) = a}^2[/tex]

[tex]\text{a(2) = 2a}[/tex]

[tex]\text{2(a) = 2a}[/tex]

[tex]\text{2(2) = 4}[/tex]

[tex]\text{Next, combine your like terms: 2a \& 2a}[/tex]

[tex]\text{2a + 2a = 4a}[/tex]

[tex]\text{Everything else stays the same because they aren't like terms}[/tex]

[tex]\boxed{\boxed{\bf{Thus,\ your\ answer\ is:a^2+4a+4}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

the Drama club is running a lemonade stand to raise money for it's new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2 each and bottles of water sell for $1.50 each. The club needs to raise at least $500 to cover the cost of renting costumes. The students can accept a maximum of 360 cans and bottles.) Write a system of inequalities that can be used to represent this situation.​) quick please I'm being timed

Answers

Answer:

Here's what I get.

Step-by-step explanation:

You have two conditions.

1. The club must raise at least $500, and that comes from the sale of lemonade and water.

Let c = cans of lemonade

and b = bottles of water

Then the first condition is

(1) 2c + 1.50b ≥ 500

2. The club can accept a maximum of 360 cans and bottles

Your second condition is

(2) c + b ≤ 360

Your system of inequalities is

[tex]\left[ \begin{array}{rcl}2c + 1.50b & \geq & 500\\c+b & \leq&360\\\end{array}\right][/tex]

estimations please!! asap (22 points)

Answers

Answer:

1) 15/32

2) 2

Step-by-step explanation:

1) 3 /8  / 5/4

= 3 · 5 /8 · 4

= 15 /32

2) 4/5 * 2 1/2

First solve --> 2 1/2 = 2 · 2 + 1 /2

= 5 /2

Then solve: 4 /5  * 5 /2

= 4 · 5 /5 · 2

= 20 /10

= 2 · 10 /1 · 10

= 2

compare the number of sodas to candy bars 4 sodas and 3 candy bars.

Answers

Answer:

3:4 is the ratio there are more soda cans

Step-by-step explanation:

There are more sodas than candy bars. Specifically, there are 4 sodas and 3 candy bars, which means there is 1 more soda than candy bars.

To compare the number of sodas to candy bars, we simply look at the quantities given. We have 4 sodas and 3 candy bars. To determine which quantity is greater, we can subtract the number of candy bars from the number of sodas:

Number of sodas - Number of candy bars = 4 - 3 = 1

Since the result is a positive number, it indicates that there are more sodas than candy bars. In this case, there is exactly 1 more soda than candy bars. Therefore, we can conclude that the number of sodas is greater than the number of candy bars.

Find the average of these numbers to the nearest whole number. 516,497,501,528,476

Answers

Answer:

504

Step-by-step explanation:

To find the average of a series of numbers one must add them all then divide by the amount of numbers.

So....

516+497+501+528+476= 2,518

then...

2,518/5 = 503.6

6> 5 so you would round UP

ROUNDED : 504

June and Stella can each create six floral arrangements in one hour. If they take in 372 Valentine’s Day orders, how many hours will they need to fulfill them?

Answers

Final answer:

June and Stella can together create 12 floral arrangements per hour. To fulfill 372 orders, they would need to work for 31 hours.

Explanation:

This problem is solved by calculating the combined rate of work of June and Stella and then using this to calculate the time it will take to complete the orders. June and Stella can create a total of 12 floral arrangements per hour (6 arrangements each). Therefore, to complete 372 orders, they would need 372 divided by 12 hours.

To perform this calculation, divide 372 by 12:

372 ÷ 12 = 31 hours

So, June and Stella would need 31 hours to complete 372 Valentine’s Day floral arrangements if they work together at their current rate.

Learn more about Work rate calculations here:

https://brainly.com/question/32565580

#SPJ3

Final answer:

June and Stella will need 31 hours to fulfill the 372 Valentine's Day orders.

Explanation:

To find out how many hours June and Stella will need to fulfill the orders, we can use the concept of unit rates. We know that June and Stella each create 6 floral arrangements in 1 hour. So together, they can create 12 floral arrangements in 1 hour. Now, we can set up a proportion using the given information: 1 hour is to 12 floral arrangements as x hours is to 372 floral arrangements. This can be written as: 1/12 = x/372. To solve for x, we can cross-multiply: 12x = 372. Dividing both sides by 12 gives us x = 31. Therefore, June and Stella will need 31 hours to fulfill the 372 orders.

Learn more about hours to fulfill here:

https://brainly.com/question/27803485

#SPJ2

What is the area of parallelogram
H=4 in b=7 in

Answers

Answer:

A = 28 in²

Step-by-step explanation:

Equation for the area of a parallelogram: A = b * h

Plug in: A = 7 in * 4 in

Solve: A = 28 in²

Answer:

its 28

Step-by-step explanation:

The cube of a number divided by two

Answers

Final answer:

The cube of a number (n) divided by two can be mathematically represented as n³/2.

Explanation:

The cube of a number is achieved when you raise that number to the power of 3. If we have a number, let's denote it as 'n', and we cube it, and we get . Now, if you are to divide the cube of a number by two, the formula would be n³/2. For example, if n = 2, the cube of 2 is 8, divided by two equals 4.

The cube of a number divided by two means that you take a number raise it to the power of 3, and then divide the result by 2. For example, if the number is 4, the cube of 4 is 4 × 4 × 4 = 64. Dividing 64 by 2 gives you a result of 32.

Learn more about Cube of a Number here:

https://brainly.com/question/34622812

#SPJ2

The area of the triangle is 3ft2. The height of the triangle is 2ft and the base of the triangle is ft

Answers

Answer: 3

Step-by-step explanation: 1/2 times, the height which is 3 and times 2 equals the base which is 3.

The following dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today. Each dot represents one customer.

Based on this data, what is a reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 333 pets?
Choose the best answer.
Choose 1 answer:
Choose 1 answer:

Answers

Answer:

c

Step-by-step explanation:

Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that a dot plot shows how many pets each customer owned before entering Jeremy's Pet Store today.

Based on this data we need to find the reasonable estimate of the probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets.

The total number of customer enter  Jeremy's Pet Store is 13.

Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets= 3/13

=0.23

Hence, Probability that the next customer to enter Jeremy's Pet Store has exactly 3 pets is 0.23.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ3


You are packaging expansion packs for the game of checkers. The table below lists the number
of each part needed per expansion pack, as well as the number of each part that you have
available.
_​

Answers

- "Let's see how many packs of each item we can make and what's left over. That's the remainder.

287 = 6(287/6) = 6(47) + 5

143 = 3(143/3) = 3(47) + 2

341 = 7(341/7) = 7(48) + 5

So on that 48th pack we have 5 people markers so need 1 more and 2 dice, so we need one more. We have enough teleport markers for the 48th pack.

Choice A."

Jesse is baking several cakes for a bake sale. A pound bag of flour is enough to make 4 cakes. How much flour is needed to make 1 cake?

Answers

Answer:

4 ounces of flour will make 1 cake.

Step-by-step explanation:

16 ounces = 1 pound

16 ounces divided by 4 cakes = 4 ounces for 1 cake

Final answer:

Jesse needs ⅔ pound or 0.125 pounds (2 ounces) of flour to make one cake, calculated by dividing the half-pound bag of flour by the number of cakes it can produce (4 cakes).

Explanation:

Jesse is baking cakes for a bake sale and needs to know how much flour is needed for one cake.

From the information provided, we know that a ½ pound bag of flour is enough to make 4 cakes.

To determine how much flour is needed for one cake, we use a simple division.

To find the amount of flour per cake, we divide the total amount of flour by the number of cakes that can be made from it. That gives us:

½ pound flour ÷ 4 cakes = ⅔ pound flour per cake.

Therefore, Jesse needs ⅔ pound (which is 0.125 pounds or 2 ounces) of flour to make one cake.

Determine the area of the composite figure to the nearest whole number

Answers

Check the picture below.

so, let's notice, is really just a 2x20 rectangle with a quarter of a semicircle with a radius of 11.

[tex]\bf \stackrel{\textit{area of a circle}}{A=\pi r^2}~~ \implies A=\pi 11^2\implies A=121\pi \implies \stackrel{\textit{one quarter of that}}{\boxed{A=\cfrac{121\pi }{4}}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\underline{\textit{area of the figure}}}{\stackrel{\textit{rectangle's area}}{(2\cdot 20)}+\stackrel{\textit{circle's quart's area}}{\cfrac{121\pi }{4}}\qquad \approx \qquad 135.03\implies \stackrel{\textit{rounded up}}{135}}[/tex]

Answer:

i think its A

Step-by-step explanation:

Help me answer this question please

Answers

Answer:

Step-by-step explanation:

f⁻¹(x) is the inverse of f(x).

y = 4x − 9.  To find the inverse, switch x and y and solve for y.

x = 4y − 9

x + 9 = 4y

y = (x + 9) / 4

So the inverse function is:

f⁻¹(x) = (x + 9) / 4

ANSWER

[tex]{f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]

EXPLANATION

The given function is

f(x)=4x-9

Let

y=4x-9

Interchange x and y.

x=4y-9

Add 9 to both sides,

x+9=4y

Divide both sides by 4

[tex] \frac{x + 9}{4} = y[/tex]

[tex]y = \frac{x + 9}{4} [/tex]

Therefore,

[tex] {f}^{ - 1}(x) = \frac{x + 9}{4} [/tex]

Other Questions
if 3x+1 has a value of 17 for some value of x then the expression 6x+1 will have which of the following?1)222)333)354)42 What message about life is the poet trying to communicate in this poem? A.) People can reach their dreams if they try.B.) People should feel proud of their culture.C.) People must fight gender stereotypes.D.) People often find peace in nature. A solid metal ball and a hollow plastic ball of the same external radius are released from rest in a large vacuum chamber. When each has fallen 1m, they both have the same 1.inertia.2.change in potential energy.3.momentum.4.kinetic energy.5.speed if you are using drawing to think of a topic for descriptive writing what is the first step Chris put $1,500 in a savings account at an annual interest rate of 5%. If Chris does not deposit or withdraw any money, what is the amount of interest Chris will earn the first year her money is in the savings account? The graph below represents the average monthly rainfall (y), in inches, inMiami, FL during 2012 plotted against the time (x), in months. Which of thefollowing descriptions is representative of the data presented in the graph? Why did support from people in the Chinese countryside help the Communists more than support from people in the cities helped the Nationalists?Many more people lived in the countryside, so they made the Communists the stronger side.People in the cities were confident that the Nationalists would win, so they remained passive.In the cities, people had mixed feelings about which side to support, so they did not present a united front.In the countryside, people were accustomed to nearly constant warfare and so were well prepared. areas with hypoxia are known as __ zones Which pair of functions is not a pair of inverse functions?A. f(x)= x+1/6 and g(x)= 6x-1B. f(x)= x-4/19 and g(x)= 19x+4C. f(x)= x5 and g(x)= 5xD. f(x)= x/x + 20 and g(x)= 20x/x-1 If you decide to become an x-ray technician, this means you selected a career in _____.diagnostic servicestechnologyforensicsresearch and development What part of the plot is the author most likely developing in this portion of the story in by jack London "to build a fire" Which source would be most useful for a journalist writing an article on NASA's long-term plans for a manned mission to Mars? (3 points)Science fiction novels set on Mars or featuring journeys to MarsAn encyclopedia article on NASA's successful missions to MarsA series of articles on the ambitions of businesses interested in space travelRecent press releases from NASA spokespersons familiar with ongoing projects What is the sample space for the event of flipping a coin and then spinning a four-part spinner, numbered 1, 2, 3, 4? 1. H-1 H-2 H-3 H-4 2. H-1 H-2 H-3 H-4, T-1 T-2 T-3 T-43. H-1 T-2 H-3 T-4.4 1-H 2-H 3-H, 1-T 2-T 3-T Vivaldi was famous and influential as a virtuosoA. harpsichordist.B. opera singer.C. lutenist.D. violinist. Using a consistent color scheme on each slide will make your presentation more effective.TrueFalse Does the point (-10,3) lie on the circle that passes through the point (-2,9) with center (-3,2)? Explain As the protons move down their concentration gradient in the electron transport chain, what's happening with the electrons in the chain? A. They combine with oxygen to form water B. They convert ADP to ATP C. They split apart from oxygen D. They take a phosphate group off ATP What common misconceptions about paying taxes exist? You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.8 107 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 4.6 1011 m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 22.4 m/s2. What are the mass of (a) the planet and (b) the star? (G = 6.67 10-11 N m2/kg2) You are the science officer on a visit to a distant solar system. Prior to landing on a planet you measure its diameter to be 1.8 107 m and its rotation period to be 22.3 hours. You have previously determined that the planet orbits 4.6 1011 m from its star with a period of 402 earth days. Once on the surface you find that the acceleration due to gravity is 22.4 m/s2. What are the mass of (a) the planet and (b) the star? (G = 6.67 10-11 N m2/kg2) (a) 2.7 1025 kg, (b) 2.8 1031 kg (a) 5.0 1025 kg, (b) 2.8 1031 kg (a) 5.0 1025 kg, (b) 4.8 1031 kg (a) 2.7 1025 kg, (b) 4.8 1031 kg State if the triangles in each pair are similar.If so, state how you know they are similar and complete the similarity statement.A)similar; SAS similarity; BACB)not similarC)similar; SSS similarity; ABCD)similar; SAS similarity; ABC Steam Workshop Downloader