Find the perimeter of the following quadrilateral.

Write your answer as a mixed number in simplest form. Be sure to include the correct unit in your answer.

Find The Perimeter Of The Following Quadrilateral.Write Your Answer As A Mixed Number In Simplest Form.

Answers

Answer 1

Answer:

7 3/4ft

Next time when a question ask you to find the perimeter just add all the length of each sizes


Related Questions

Which graph corresponds to the following inequality? -2x-3y<6

Answers

Answer:

A) It’s the First graph

Step-by-step explanation: hope this helps!

The graph corresponds to the inequality -2x - 3y < 6 is option A.

How to find the value of x?

To estimate the value of x and y, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Given: -2x - 3y < 6

then -2x - 3y = 6

Put the value of y = 0, then

[tex]$-2x-3*0=6[/tex]

-2x = 6

x = -6/2 = -3 and

-2x - 3y = 6

Put the value of x = 0, then

[tex]$-2*0-3y=6[/tex]

-3y = 6

y = -6/3 = -2

The value of x = -3 and y = -2.

Therefore, the correct answer is option A.

To learn more about inequality refer to:

https://brainly.com/question/12170562

#SPJ2

Please help im begging you

Find the domain of the function expressed by the formula:
y = 1/x - 7

Answers

Answer:

the domain is ALL reals numbers except ZERO

- ∞ < x < 0    ∪   0 <  x < ∞

Step-by-step explanation:

Answer:

(-∞,0) ∪ (0,∞), {x|x≠0}

Step-by-step explanation:

I think this is it. Im not completely sure though

A bag of 31 tulip bulbs contains 13 red tulip​ bulbs, 9 yellow tulip​ bulbs, and 9 purple tulip bulbs. Suppose two tulip bulbs are randomly selected without replacement from the bag. ​(a) What is the probability that the two randomly selected tulip bulbs are both​ red? ​(b) What is the probability that the first bulb selected is red and the second​ yellow? ​(c) What is the probability that the first bulb selected is yellow and the second​ red? ​(d) What is the probability that one bulb is red and the other​ yellow?

Answers

Answer:

36% on first

Step-by-step explanation:

Select the next item in the sequence.
10.172,10.983,10.994...

A. 10.972
B. 11.000
C.11.172
D.11.983

Answers

9514 1404 393

Answer:

  B. 11.000

Step-by-step explanation:

The function looks like a reflected and translated exponential function with a horizontal asymptote near y = 11.000. The rate of change is decreasing so fast that the next value is expected to be very near 10.994. The closest one among the answer choices is 11.000.

_____

First differences are 0.811 and 0.011. The latter is about 0.0136 times the former. At that rate of change, we expect the next first difference to be about 0.000149, which would make the next number in sequence be about 10.9941—very little change from 10.994.

Clearly, first differences are not constant, so the function is not linear. Ratios of the numbers are not constant, so this is not an exponential (geometric) sequence. A reflected exponential function of the type described is a good fit.

With only 3 points given, the rule is not at all obvious. The next term could legitimately be anything you like, and a rule could be made that would fit it.

Tìm thể tích của khối bao bởi mặt z=5+(x−4)^2+2y và mặt x=3,y=4 và mặt phẳng tọa độ.

Answers

Step-by-step explanation:

ccxiddidificifificici i i ivi i i i i i i i iivvii iix9difi

Find the area of each figure one of the sides are 8.3cm it’s a square btw

Answers

Answer:

68.89 cm

Step-by-step explanation:

8.3 X 8.3 would equal 68.89 cm. We can see that one side is 8.3 cm, and the other sides don't say their sides, so the only number we will use for multiplying is 8.3, and all sides of the square will be 8.3. The equation is L X W, where L is the length, and W is the width. Since 8.3 is on all four sides, it will also be the length and the width on the equation. As a result, 68.89 cm would be the final answer.

Answer:

I don't real know if this is right, but I think its this:

68.89 cm2 is the area.

find the HCF of 20 and 25 by listing all possible factor


Answers

Answer:

Check Internet

Step-by-step explanation:

Switch on your laptop, Open the Internet and then type your question there.

Hope this Helped You  :D

6v(2v + 3) 2) 7(−5v − 8)

Answers

Answer:

6v(2v+3)2)7(-5v-8)

6v+2v-5v+3+2-8

3v-3

The volume of the triangular prism is 54 cubic units.
What is the value of x?
5
9
4
3

Answers

Answer: the answer is 3

Step-by-step explanation:

I just took the test


There are 11 green marbles and 12 orange marbles in a bag. You randomly
choose one of the marbles. What is the probability of choosing a green marble?

Answers

Green marbles=11Orange marbles =12Total marbles:-

[tex]\\ \Large\sf\longmapsto 11+12[/tex]

[tex]\\ \Large\sf\longmapsto 23[/tex]

[tex]\boxed{\Large{\sf P(G)=\dfrac{No\:of\:green\:marbles}{Total\:marbles}}}[/tex]

[tex]\\ \Large\sf\longmapsto P(G)=\dfrac{11}{23}[/tex]

Answer:

11/23

Step-by-step explanation:

11 green marbles and 12 orange marbles = 23 marbles

P(green) = green marbles / total marbles

               = 11/23

15.8 Use multiple linear regression to fit x1 0 1 1 2 2 3 3 4 4 x2 0 1 2 1 2 1 2 1 2 y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2 Compute the coefficients, the standard error of the estimate, and the correlation coefficient.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

regression to fit

x1 0 1 1 2 2 3 3 4 4

x2 0 1 2 1 2 1 2 1 2

y 15.1 17.9 12.7 25.6 20.5 35.1 29.7 45.4 40.2

Using technology ;

The multiple linear regression fit for the data is :

y = 9.025x1 - 5.704x2 + 14.461

Where 9.025 and - 5.704 are the slope values of x1 and x2 respectively.

14.461 = intercept.

The Correlation Coefficient, R from the output is 0.998 ; this depicts a strong positive relationship  between the independent variables and dependent variable.

find the composition of transformations that map ABCD to EHGF.
Reflect over the (y) -axis then translate
(x+?,y+?)

Answers

9514 1404 393

Answer:

  (x, y) ⇒ (x +(-1), y +(-1))

Step-by-step explanation:

Reflection over the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

After that reflection, the figure is translated left 1 and down 1. That transformation is ...

  (x, y) ⇒ (x -1, y -1)

_____

Additional comment

The composition of the two transformations is ...

  (x, y) ⇒( -x -1, y -1)

Answer: x-1, y-1

Step-by-step explanation:

In a survey one-forth like cake only and 20 didn't like cake at all. Also 50% children like ice cream but 12 like none of them.How many like both?

Answers

Answer:

2

Step-by-step explanation:

Let x represent the total number of people. Let C represent those that like cake and let I represent those that like ice cream. Given:

C = (1/4)x = 0.25x, I = 0.5x, (C ∪ I)' = 12, C' = 20

Therefore:

C ∩ I' = C' - (C ∪ I)' = 20 - 12 = 8

C ∩ I = C - C ∩ I' = 0.25x - 8

C' ∩ I = I - C ∩ I = 0.5x - (0.25x - 8) = 0.25x + 8

The total students = (C ∩ I) + (C' ∩ I) + (C ∩ I') + (C ∪ I)'

x = 0.25x - 8 + 0.25x + 8 + 8 + 12

x = 0.5x + 8 + 12

x = 0.5x + 20

0.5x = 20

x = 40

Students that liked both = C ∩ I = 0.25(40) - 8 = 2

Answer pleaseeeeeeeeee

Answers

Answer:

[tex]y=-\frac{8}{7}x+4[/tex]

Step-by-step explanation:

A line is perpendicular to another if its slope is the negative reciprocal of the other.

Your lines are in slope intercept form here, y=mx+b, where m is the slope. We can see the given line has slope [tex]\frac{7}{8}[/tex]. The negative reciprocal of that is [tex]-\frac{8}{7}[/tex], which is the slope of the third answer choice.

please help me with geometry

Answers

Answer:

CAD = 25°

Step-by-step explanation:

The angles are shown to be equal in the figure so BAC = CAD.

Which choices are equivalent to the quotient below? Check All That Apply.

Answers

Answer:

Option C. √5/3

Step-by-step explanation:

We'll begin by simplifying √15 / 3√3. This can be obtained as follow:

√15 / 3√3

Rationalise

√15 / 3√3 × (√3 /√3)

(√15 × √3) / (3√3 × √3)

√45 / (3 × 3)

√45 / 9

Recall:

√45 = √(9 × 5) = √9 × √5 = 3√5

Thus,

√45 / 9 = 3√5 / 9

√45 / 9 = √5 / 3

Therefore,

√15 / 3√3 = √5 / 3

Thus, option C gives the right answer to the question.

Find the Perimeter of the figure below, composed of a rectangle and two semicircles.
Round to the nearest tenths place.
15
10
WILL GIVE BRAINLIEST

Answers

Answer:

61.42 units

Step-by-step explanation:

Perimeter = sum of all sides of surrounding the figure = circumference of a circle + 2(length of the rectangle)

Note: two semicircles = 1 full circle

Perimeter = πd + 2(L)

Where,

Diameter of the circle (d) = 10

Length of rectangle (L) = 15

Plug in the values

Perimeter = π*10 + 2(15)

Perimeter = 10π + 30

≈ 61.42 units (approximated to nearest tenths)

PLSS HELPPPP WILL GIVE BRAINLESSS A 22-foot ladder is resting against the side of a building. The bottom of the ladder is 3 feet from the building. Find the measure of the angle the ladder makes with the ground. Round your answer to the nearest tenth of a degree.

Answers

Answer:

The answer is 82.2  

Step-by-step explanation

hope this helps

Find the minimum sample size needed to be 99% confident that the sample's variance is within 30% of the population's variance.

Answers

The Minimum sample size table is attached below

Answer:

[tex]X=173[/tex]

Step-by-step explanation:

From the question we are told that:

Confidence Interval [tex]CI=99\%[/tex]

Variance [tex]\sigma^2=30\%[/tex]

Generally going through the table the

Minimum sample size is

[tex]X=173[/tex]

Find the first five terms to an=2an-1+3, a1=6

Answers

Answer:

a1=6 a2=15 a3=33 a4=69 a5=141

Step-by-step explanation:

an=2an-1+3

We should attempt n=2 to find the second term

a2=2a1+3= 2*6+3=15

n=3 to find the third term

a3=2a2+3= 2*15+3=33

n=4 to find the fourth term

a4=2a3+3=2*33+3=69

n=5 to find the fifth term

a5= 2a4+3=2*69+3= 141

Evaluate the expression when x = 12/7
The value of the expression when x equals is ???
PLEASE HELP!!

Answers

Answer:

82

Step-by-step explanation:

1/3( x+9/7) + 3^4

Let x = 12/7

1/3( 12/7+9/7) + 3^4

PEMDAS says parentheses first

1/3( 21/7) + 3^4

1/3(3) +3^4

Then exponents

1/3(3)+81

Then multiply

1+81

82

At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen finished in the bottom third of their high school class. Admission standards at the university were tightened in 1995. In 1997, a simple random sample of 100 entering freshmen found that only 10 finished in the bottom third of their high school class. Let p 1 and p 2 be the proportions of all entering freshmen in 1993 and 1997, respectively, who graduated in the bottom third of their high school class. What is a 90% plus four confidence interval for p 1 – p 2?

Answers

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

[tex]p_1 = \frac{20}{100} = 0.2[/tex]

[tex]s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04[/tex]

p2 -> 1997

10 out of 100, so:

[tex]p_2 = \frac{10}{100} = 0.1[/tex]

[tex]s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03[/tex]

Distribution of p1 – p2:

[tex]p = p_1 - p_2 = 0.2 - 0.1 = 0.1[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].  

The lower bound of the interval is:

[tex]p - zs = 0.1 - 1.645*0.05 = 0.01775 [/tex]

The upper bound of the interval is:

[tex]p + zs = 0.1 + 1.645*0.05 = 0.18225 [/tex]

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

50 money prize for solve

Answers

Answer:

-7.5

Alternatively,

-0.5(units^-1) + (-4(units^0)) + (-3(units))

Step-by-step explanation:

On graph, only clearly defined points:

1. x = -3 , y = 0

2. x = -3 , y = -8

3. x = 5 , y = -4

So for:

1. -3 = c ( + a×(0^2) + b×0)

And

2. -3 = a×((-8)^2) + b×(-8) + c = 64×a + (-8)×b + c

Since c = -3 ==> 64×a - 8×b = 0

Simplified ==> 8×a - b = 0 ==> b = 8×a

3. 5 = a×((-4)^2) + b×(-4) + c = 16×a + (-4)×b + c

Since c = -3 ==> 16×a - 4×b = 5 - (-3) = 8

Simplified ==> 4×a - b = 2

Since b = 8×a ==> 4×a - (8×a) = 2

Simplified ==> 2×a - 4×a = 1

==> -2×a = 1

==> a = -0.5

Since b = 8×a ==> b = 8×(-0.5) = -4

So...

c = -3

b = -4

a = -0.5

Then...

a + b + c = -0.5 - 4 - 3 = -7.5

Write an equation and solve it to answer each question. A pile of 55 coins consisting of nickels and dimes is worth $3.90. Find the number of each. I only need the equation plz. WILL MARK BRAINLIEST.

Answers

Answer:

0.05x + 0.1(55 - x) = 3.9

Step-by-step explanation:

There are 55 coins.

Let x = number of nickels.

The number of dimes is 55 - x.

The value of a nickel is $0.05, and the value of a dime is $0.10.

The value of x nickels is 0.05x

The value of 55 - x dimes is 0.1(55 - x)

The total value of the coins is 0.05x + 0.1(55 - x)

The total value of the coins is $3.90

0.05x + 0.1(55 - x) = 3.9

g(x) = f(x+1) using f(x)= x to the power of 2

Answers

Answer:

g(x) = x² + 2x + 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Expanding

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

g(x) = f(x + 1)

f(x) = x²

Step 2: Find

Substitute in x [Function f(x)]:                                                                           f(x + 1) = (x + 1)²Expand:                                                                                                             f(x + 1) = x² + 2x + 1Redefine:                                                                                                           g(x) = x² + 2x + 1

for 0 degrees ≤ x < 360 degrees , what are the solutions to sin (x/2) + cos(x) - 1 =0

Answers

Recall the double angle identity for cosine:

cos(x) = cos(2×x/2) = 1 - 2 sin²(x/2)

Then the equation can be rewritten as

sin(x/2) + (1 - 2 sin²(x/2)) - 1 = 0

sin(x/2) - 2 sin²(x/2) = 0

sin(x/2) (1 - 2 sin(x/2)) = 0

sin(x/2) = 0   or   1 - 2 sin(x/2) = 0

sin(x/2) = 0   or   sin(x/2) = 1/2

[x/2 = arcsin(0) + 360n °   or   x/2 = 180° - arcsin(0) + 360n °]

… …   or   [x/2 = arcsin(1/2) + 360n °   or   x/2 = 180° - arcsin(1/2) + 360n °]

x/2 = 360n °   or   x/2 = 180° + 360n °

… …   or   x/2 = 30° + 360n °   or   x/2 = 150° + 360n °

x = 720n °   or   x = 360° + 720n °

… …   or   x = 60° + 720n °   or   x = 300° + 720n °

(where n is any integer)

We get only three solutions in 0° ≤ x < 360° :

720×0° =

60° + 720×0° = 60°

300° + 720×0° = 300°

Answer:

B: (0, 60, 300)

Step-by-step explanation:

right on edge

A six-sided die is rolled ten times. What is the probability that the die will show an even number at most eight times?

Answers

P(even)=1/2. P(odd)=1/2. Let x= number of even in ten rolls

P(x<=8) = 1-P(x>=9) = 1-[C(10,9)(1/2)^9 *(1/2)^1 + C(10,10)(1/2)*(1/2)^0]

=1-[C(10,9)(1/2)^10 +C(10,10)(1/2)^10]

=1-(1/2)^10[10+1

=1–11/1024

=1013/1024

(x2 + 3x + 1) + (2x2 + 2x)
HINT

Answers

Answer:

3x^2+5x+1

Step-by-step explanation:

(x^2 + 3x + 1) + (2x^2 + 2x)

Combine like terms

x^2 + 2x^2  + 3x +2x   +1

3x^2+5x+1

Answer:

[tex]3x^{2} + 5x + 1[/tex]

Step-by-step explanation:

Step 1:  Combine like terms

[tex](x^{2} + 3x + 1) + (2x^{2} + 2x)[/tex]

[tex](x^{2} + 2x^{2} + (3x + 2x) + (1)[/tex]

[tex]3x^{2} + 5x + 1[/tex]

Answer:  [tex]3x^{2} + 5x + 1[/tex]

need confirmation on this....​

Answers

Answer:

X + 2y = 1

3x + y = 13

Step-by-step explanation:

A and b are the coefficients of X and y

I wasn't sure about my answer so used Gauthmath

Living with parents: The Pew Research Center reported that 36% of American Millennials (adults ages 18–31) still live at home with their parents. A group of students wants to conduct a study to determine whether this result is true for students at their campus. They survey 300 randomly selected students at their campus and determine that 43% of them live at home with their parents. With this data, they test the following hypotheses. The P-value is 0.006.
H0: Of Millennial students at their campus, 36% live at home with their parents.
Ha: More than 36% of Millennial students at their campus live at home with their parents.
What can we conclude?
A. Nothing. The sample size is too small to represent students at their campus.
B. The evidence suggests that more than 36% of students at their campus live at home with their parents because 43% is greater than 36%.
C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.
D. The evidence does not suggest that more than 36% of students at their campus live at home with their parents because the difference between 43% and 36% is not statistically significant. A 7% difference could be due to random chance.

Answers

Answer:

C. The evidence suggests that more than 36% of students at their campus live at home with their parents because the P-value is less than the significance level.

Step-by-step explanation:

H0: Of Millennial students at their campus, 36% live at home with their parents.

Mathematically, [tex]H_0: p = 0.36[/tex]

Ha: More than 36% of Millennial students at their campus live at home with their parents.

[tex]H_a: p > 0.36[/tex]

The P-value is 0.006.

p-value is less than the significance level of 0.05, which means that there is enough evidence to accept the alternative hypothesis, that is, the proportion is more than 36%.

Thus, the correct answer is given by option C.

Other Questions
help please :) try to explain and answer math coordinates Problem 1 Find the mBC. Allegheny Company ended Year 1 with balances in Accounts Receivable and Allowance for Doubtful Accounts of $70,000 and $3,600, respectively. During Year 2, Allegheny wrote off $6,600 of Uncollectible Accounts. Using the percent of receivables method, Allegheny estimates that the ending Allowance for Doubtful Accounts balance should be $5,600. What amount will Allegheny report as Uncollectible Accounts Expense on its Year 2 income statement we have the school keeper open the classWe have Write a pseudocode method swap(aList, i, j) that interchanges the items currently in positions i and j of a list. Define the method in terms of the operations of the ADT list, so that it is independent of any particular implementation of the list. Assume that the list, in fact, has items at positions i and j. What impact does this assumption have on your solution System A consists of a mass m attached to a spring with a force constant k; system B has a mass 2m attached to a spring with a force constant k; system C has a mass 3m attached to a spring with a force constant 6k; and system D has a mass m attached to a spring with a force constant 4k. Rank these systems in order of decreasing period of oscillation. Gross Domestic Product is a ________measurement of standard of living because ________. a. imperfect; not all important determinants of standard of living are incorporated b. imperfect; all important determinants of standard of living are incorporated c. perfect; all important determinants of standard of living are incorporated d. perfect; not all important determinants of standard of living are incorporate Yes, we all know Pluto is no longer an official planet, merely a dwarf, but it still enjoyed full planet status when New Horizons rocketed from Cape Canaveral, Florida, on Jan. 19, 2006. Plutos demotion came just seven months later, a sore subject still for many.Were kind of running the anchor leg with Pluto to finish the relay," Stern says.The sneak peeks of Pluto in recent weeks are getting "juicier and juicier," says Johns Hopkins project scientist Hal Weaver. "The science team is just drooling over these pictures."The Hubble Space Telescope previously captured the best pictures of Pluto. If the pixelated blobs of pictures had been of Earth, though, not even the continents would have been visible.The New Horizons team is turning "a point of light into a planet," Stern says.An image released last week shows a copper-colored Pluto bearing a large, bright spot in the shape of a heart.Scientists expect image resolution to improve dramatically by Tuesday. The 7,767-mile span at closest approach is about the distance between Seattle and Sydney.New Horizons, weighing less than 1,000 pounds including fuel, has seven instruments that will be going full force during the encounter. Its expected to collect 5,000 times as much data, for instance, as Mariner 4.Were going to rewrite the book," Weaver says. "This is itthis is our once-in-a-lifetime opportunity to see it."The team gets one crack at this.Were trying to hit a very small box, relatively speaking," says Mark Holdridge, the encounter mission manager. "Its 60 by 90 miles, and were going 30,000 mph, and were trying to hit that box within a plus or minus 100 seconds."The only planet in our solar system discovered by an American, Pluto actually is a mini solar system unto itself. Plutojust two-thirds the size of our own moonhas big moon Charon thats just over half its size, as well as baby moons Styx, Nix, Hydra, and Kerberos. The names are associated with the underworld in which the mythological god, Pluto, reigned. New Horizons will observe each known moon and keep a lookout for more.Scientists involved in the 700 million effort want to get a good look at Pluto and Charon, and get a handle on their surfaces and chemical composition. They also plan to measure the temperature and pressure in Plutos nitrogen-rich atmosphere and determine how much gas is escaping into space. Temperatures can plunge to nearly minus-400 degrees.Bill McKinnon, a New Horizons team member from Washington University in St. Louis, Missouri, expects to see craters and possible volcanic remnants. A liquid ocean and a rocky core may lie beneath the icy shell.Anybody who thinks that when we go to Pluto, were going to find cold, dead ice balls is in for a rude shock," McKinnon says. "Im really hoping to see a very active and dynamic world."Pluto has tantalized astronomers since its 1930 discovery by Clyde Tombaugh using the Lowell Observatory in Flagstaff, Arizona. Some of Tombaughs ashes are aboard New Horizons. His two children, now in their 70s, plan to be at Johns Hopkins for the encounter.With its tilted, elongated 248-year orbit, Pluto has made it only a third of the way around the Sun since its discovery. The amount of sunlight that reaches Pluto is so dim that at high noon, it looks like twilight here on Earth. The massive surrounding Kuiper Belt, in fact, is called the Twilight Zone. The New Horizons team has its eyes on a few much smaller objects in the Kuiper Belt, and is hoping for a mission extension as the spacecraft continues toward the solar system exit on the heels of NASAs Voyagers 1 and 2 and Pioneers 10 and 11.For now, signals take 4hours to travel one way between New Horizons and flight controllers in Maryland.New Horizonsscience instruments will be cranked up to collect maximum data Tuesday, leaving no time to send back data. In fact, scientists wont be absolutely certain of success until Tuesday night, 13 hours following New Horizonsclosest approach, when it "phones home."It will be Wednesday before the closest of Plutos close-ups are available for release. And it will be well into next yearOctober 2016before all the anticipated data are transmitted to Earth.What is the significance of this mission? What do you find extraordinary about it? VI. Fill each blank with the correct form of the word given to complete the sentences below.1. The manager _________________ of the project as it was too costly. (APPROVE)2. Its _________________ of you to leave the office so soon while others are still working.(RESPONSIBILITY)3. This car is really _______________; it has broken down three times since I bought it. (RELY)4. After the accident, a lot of _________________ gathered at the scene. (LOOK)5. His life is full of _________________ as he doesnt have any work to do. (BORE)6. _________________ is one of the causes of obesity. (ACT)VII. Fill each blank with a suitable preposition to complete the sentences below.1. She prides herself ___________ her knowledge of art.2. My neighbor is an expert ___________ child psychology.3. The boy has made a lot of progress ___________ his study.4. My dad is a sailor. Hes ___________ sea now.5. The boy left school ___________ the age of 15 to start working in a drug store.6. Water freezes ___________ 0C.7. The latest album ___________ that Boy Band is very popular now.8. Your life story is similar ___________ mine.9. School kids are quite familiar ___________ these tales.10. There is a great deal of farm produce ___________ display at the fai Whats is the product of1/15 X 1/3 =? Which equation represents fertilization?haploid + diploid = diploiddiploid + haploid = haploidhaploid + haploid = diploiddiploid + diploid = diploid Compute the acceleration of gravity for a given distance from the earth's center, distCenter, assigning the result to accelGravity. The expression for the acceleration of gravity is: (G * M) / (d2), where G is the gravitational constant 6.673 x 10-11, M is the mass of the earth 5.98 x 1024 (in kg) and d is the distance in meters from the earth's center (stored in variable distCenter).#include using namespace std;int main() { double G = 6.673e-11; double M = 5.98e24; double accelGravity; double distCenter; cin >> distCenter; /* Your solution goes here */ cout I operate a small convenience store. Typically, I get about 10 customers per hour. If the mean time before I get my 25th customer is 2.5 hours, what is the standard deviation associated with the time until I see my 25th customer how do you expand brackets Which of the following is NOT an effective way to manage stress? Focus on goals Reduce sleep time Stay organized Talk to a friend Entendiste IOPs? Escribe las siguientes frases en espaol.Did you understand IOPs? Write the following phrases in Spanish.1. You gave Jos that ring (over there).2. We wrote (to) them sometimes.3. I bought you this necklace.4. Did mom and dad buy us those souvenirs from Barcelona? 5. Identifica la figura literaria en el siguienteverso: Y un Cisne negro dijo: La nocheanuncia el da.(3 Points)metforaanforapersonificacinhiprbole Which of the following statements supports egoism?Self-determined ethics are more successful than ethics dictated by others.Working to meet the demands of the larger society can lead to prosperity.All actions should be aimed at the greater good of society.A society is more just if it distributes rewards to everyone equally. Calculate the mass of isoborneol in 2.5 mmol of isoborneol and the theoretical yield (in grams) of camphor from that amount of isoborneolisoborneol = 154.25 g mol?1Camphor, Molar mass = 152.23 g/mol Write a three-paragraph essay in answer to this question: QUESTION: How did different groups of Americans win greater civil rights during the period between 1920 and the 1960s? 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