Solve the system y = 3x + 2 and 3y = 9x + 6 by using graph paper or graphing technology. What is the solution to the system?
No solutions
Infinite solutions
(32)
(9,2)

Answers

Answer 1
Answer is -Infinite solution

Related Questions


23. Which equation translates y = | x | by 8 units to the left?
y = |x-81
y = |x + 81
y = |x|-8
y = |x | +8

Answers

Answer:

y = |x + 8|

Explanation:

Please see the table attached below.

Answer:y=|x+8|

Step-by-step explanation:

The number of bagels sold daily for two bakeries is shown in the table.

Bakery A Bakery B
53 34
52 40
50 36
48 38
53 41
47 44
55 40
51 39
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Why? Select the correct answer below. (5 points)

Group of answer choices

A) Mean, because there are no outliers to affect the data

B) Mean, because the distribution is perfectly symmetric for both bakeries

C) Median, because the distribution for Bakery B is not symmetric

D) Median, because there are outliers that affect both data sets

Answers

The correct statement based on the data is: A. Mean, because there are no outliers to affect the data.

What are Outliers?

Outliers are data point that appears extreme from other data values of a data distribution. When there is an outlier in a data distribution, the median is a better measure of center, while the mean is best when outliers are absent.

From the data distribution for both bakeries, no data seem extreme from the rest of the data, therefore, the mean is a better measure of center.

The answer is: A. Mean, because there are no outliers to affect the data.

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PLEASE HELP QUICK!!!!!!!
The Science Club arranged a trip tot he Smithsonian. Only 2/3 of the members were able to attend, which left one seat empty on the 25-passenger bus. How many members does the Science Club have?

Answers

Answer:

There are 36 members in the Science Club.

Step-by-step explanation:

25 minus one is 24 and half of 24 is 12. 12 times 3 is 36, which is the full 3/3 of the Science Club.

Select all the correct systems of equations. Which systems of equations have infinite solutions? 2x + 5y = 31 6x - y = 13 y = 14 - 2x 6x + 3y = 42 2x + y = 14 x = 13-2y Reset 2x + y = 10 -6x = 3y + 7 y = 13-2x 4x - 3y = -19 2x + y = 17 Next -6x = 3y - 51​

Answers

Answer:

The system of equations y=14-2x and 6x+3y=42.

Step-by-step explanation:

Please see attachment to see the answer as a graph.

Hope this helps!

If the probability that the person A will be alive for 30 years is 0.7 and the probability that the person B will be alive for 30 years is 0.5, what is the probability that they both will be alive for 30 years?

0.24
1.2
0.15
0.35

Answers

Answer:

[tex]0,35[/tex]

Step-by-step explanation:

In view of the fact that our events are independent of each other, we should multiply their probabilities: [tex]P(A \cap B) = P(A) * P(B) = 0,7 * 0,5 = 0,35[/tex].

What is the slope?
Please help!! Thankss

Answers

Answer:

slope = 2

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0,2) ← 2 points on the line

m = [tex]\frac{2-0}{0-(-1)}[/tex] = [tex]\frac{2}{0+1}[/tex] = [tex]\frac{2}{1}[/tex] = 2

Find the missing side length of the triangle.

Answers

Answer:

c = 10

Explanation:

Use Pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' is the hypotenuse (the longest side)

Here given: a = 8 cm, b = 6 cm, c = ?

Substituting values:

8² + 6² = c²

c² = 64 + 36

c² = 100

c = √100

c = 10

Answer:

10 cm

Step-by-step explanation:

[tex]a^2=b^2+c^2[/tex]

[tex]a^2=6^2+8^2[/tex]

[tex]a^2=100[/tex]

[tex]\sqrt{a^2}=\sqrt{100[/tex]

a=10

Your dad says you can have a new puppy if you build the dog house. Before building, you need to determine the dimensions. Choose the dimensions of the base, the length, and the width of the dog house. Choose dimensions that you think are reasonable for whatever type of puppy you would get. Once you plan the base and walls, you need to decide on the height of the roof (represented by the dotted line in the image below). The roof is a triangle with two sides that are the same length.
Find the height of the roof using the dimensions you chose. You are hoping to put shingles on the roof and need to know what the square footage of the roof will be. Use the dimensions to calculate the area of the roof.

Hint: Remember to find the area of the entire roof.

Answers

Answer is 12 sq feet
Step by step
Roof is 36” x 24” which is 3’ x 2’
So 3 x 2 = 6 multiplied by 2 sides of roof
Total is 12 sq feet
————-
I made the roof peak with a 3” overhang over the entrance
I made the roof overhang the sides with 4”
—————-
So to find the hypotenuse (diagonal of the roof) I used the Pythagorean theorem.
a^2 + b^2 = c ^2
15^2 + 13^2 = c^2
394 = c^2
Take square root of both sides
C= 19.8 rounded to 20
I then added 4” overhang to each side for total diagonal of 24”

The area of Entire roof is 12 feet².

What is Pythagorean theorem?

The well-known Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle)

Given:

As, the roof peak with a 3 and the roof overhang the sides is 4.

Now, Using Pythagorean theorem.

a² + b² = c ²

15² + 13² = c²

c² = 225+ 169

c = 19.8 (or 20)

So, the length of diagonal is 24.

Roof Dimension 36 x 24 or (

Area of Roof = 3 x 2

                      = 6 unit²

and, area of the entire roof = 2 x6 = 12 ft²

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A teacher gave a test to a class in which 10% of the students are juniors and 90% are seniors. The average score on the test was 84. The juniors all received the same score, and the average score of the seniors was 83. What score did each of the juniors receive on the test

Answers

Each junior  receives 93 score on the test. It is also the average score of the juniors.

Given Information

It is given that 10% of the strength of the class consists of juniors and 90% consists of seniors.

Let us assume the total strength of the class is 100, then,

Number of seniors = 90

Number of juniors = 10

It is also given that the average score of the class = 84

And, average score of the seniors = 83

Another given information is that all the juniors all received the same score, which is their average score. Let it be x.

Average Score of Juniors

Total marks obtained by the seniors = Number of seniors × Average score of seniors

= 90 × 83

= 7470

Total marks obtained by the juniors = Number of juniors × Average score of juniors

= 10x

Average marks on the test = Total marks / Total number of students

⇒ 84 = (7470 + 10x)/100

⇒ 84 × 100 = 7470 + 10x

⇒ 10x + 7470 = 8400

⇒ 10x = 8400-7470

⇒ 10x = 930

⇒ x = 930/10

⇒  x = 93

Thus, each junior scores 93 on the test.

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Which equation represents a direct variation?
A.y = 0.5 x
B.x minus y = 5
C.x y = 5
D.y = x + 5

Answers

Answer:

A.

Step-by-step explanation:

i'm 99% sure

Answer:

A. y = 0.5x

Step-by-step explanation:

i got it right

How do I get started on the second part

Answers

The function to calculate the speed is S = 260.52/t.

How to illustrate the information?

From the information given, there are 78 laps through the Monte Carlo and each lap has a distance of 3.34 km. Therefore, the total length of the race will be:

= 78 × 3.34

= 260.52km

The function to calculate the speed will be:

Speed = Distance/Time

S = 260.52/t

Complete question:

The famous Grand Prix has 78 laps through the Monte Carlo and each lap has a distance of 3.34 km.

a. What is the total length of the race?

b. Write a function that can be used to model the race where the independent variable represent the average speed.

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please help me.--------------------------------

Answers

Answer:

tan 33° = 0.6494

C = 65°

Step-by-step explanation:

Use a calculator.

tan 33° = 0.6494

cos C = 0.4226

Use the inverse cosine function on a calculator.

C = 65°

Choose the equation that satisfies the data in the table.
X -1
0 1
Y
0
-4 -8
-
OA. y = 4x - 4
OB.y = -x +4
Oc.y=x+4
D. y = -4x - 4

Answers

The equation that satisfies the data in the table is,

y = -4x - 4 [Option D]

Definition of an Equation:

An equation is defined as a mathematical assertion in which you use mathematical symbols to demonstrate the equality of two amounts. A combination of expressions with variables and constants on either side of the equality sign make up an equation.

The (x, y) coordinates from the given table are,

(-1,0), (0, -4), (1, -8)

Now, these points must satisfy the required equation.

Considering the first point (-1, 0), if we substitute these values of x and y coordinates in y=4x-4, the equality is no longer maintained.

Similarly, (-1,0) does not satisfy the second and third equations, that are, y = -x + 4 and y = x + 4, respectively, either.

Taking the fourth equation, y = -4x - 4

Putting x = -1 in this equation, we get,

y = -4(-1) - 4

y = 4 - 4

y = 0

Likewise, this equation satisfies the rest of the data in the table too.

Therefore, y = -4x - 4 is the required equation.

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The perimeter of a parallelogram is 180 cm. One side exceeds the other by 10 cm.
What are the lengths of adjacent sides of the parallelogram?

Answers

Answer:

One side is 40 cm and the adjacent side is 50 cm

Step-by-step explanation:

We can use a rectangle because a rectangle is a parallelogram.  Draw a rectangle.  Write the width as x and the length as x + 10.  We find the perimeter by adding all 4 side lengths.

Two side lengths are x and two side lengths are x + 10.  If we add all of this together we get 180

x +x +x+10+x+10 = 180

4x + 20 = 180  Combine the like terms.  There are 4 x's and 10+10 is 20

4x = 160  Subtract 20 from both sides

x  = 40  Divide both sides by 4

So, two sides are 40 and two sides are 50, this will add up to 180

Answer:

40 cm & 50 cm

Step-by-step explanation:

one side = X cm (??)

the other side =X+10 cm

Solve

2(x+x+10)=180

x+x+10=90

2x=80

x = 80/2

x=40

therefore

x+10=50cm

The tree diagram represents an experiment consisting of two trials. P(C) = [?]

Answers

The value of the probability P(A and C) is 0.18

How to determine the probability?

The complete question is added as an attachment

From the attached tree diagram, we have:

P(A) = 0.6

P(C) = 0.3

The required probability is then calculated as:

P(A and C) = P(A) * P(C)

This gives

P(A and C) = 0.6 * 0.3

Evaluate

P(A and C) = 0.18

Hence, the value of the probability P(A and C) is 0.18

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Analyze the diagram below and complete the instructions that follow. (7x - 3) (12x -7) Solve for x.

Answers

Answer:

Step-by-step explanation:

(7x-3)(12x-7)

we are solving for x and we are multiplying.

we start with the x's 7x*12x=  84x

-3*-7=21

so now we have

84x+21=0

the 0 is a placer for answering the question

we minus 21 to both sides

84x=-21

now we divide

84/-21= -4

x=-4

explain how the following problem could be solved. then, solve the problem. a full-grown dog is about one-eighth as heavy as a cow. together, they weigh 360 kg.

Answers

The problem could be solved using the linear equation in one variable, x/8 + x = 360, where x kg is the weight of a cow.

The weight of the cow, on solving the equation, is found to be 320 kg.

The weight of the full-grown dog = (1/8)*320 kg = 40 kg.

We assume the weight of the cow to be x kg.

The weight of a full-grown dog is given to be one-eight of a cow, that is, the weight of a full-grown dog = (1/8)*x = x/8 kg.

Thus, the sum of the weights of the full-grown dog and the cow = x/8 + x kg.

But, we are given that together, they weigh 360 kg.

This can be shown as the linear equation in the one variable:

x/8 + x = 360.

Thus, the problem could be solved using the linear equation in one variable, x/8 + x = 360, where x kg is the weight of a cow.

To solve the problem, we solve the equation as follows:

x/8 + x = 360,

or, (9/8)x = 360 {Simplifying},

or, x = 360*8/9 {Cross-Multiplying},

or, = 320.

Thus, the weight of the cow, on solving the equation, is found to be 320 kg.

The weight of the full-grown dog = (1/8)*320 kg = 40 kg.

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From points a and b on level ground the angles of elevation of the top of a building are 25degree and 37 degree respectively. if [ab] =57m, calculate to the nearest metre, the distances of the top of the building from a and b if they are both on the same side of the building

Answers

The distance of the top of the building from a is 163m and that from b is 115m .

Calculating the Perpendicular Distance of the Top From Ground

It is given that the angle of elevations of the building top from a and b are 25° and 37° respectively.

ab = 57m

Let the top of the building be point c and the distance between the building and the point b be x. Then, from the figure, we can deduce the following,

In Δacd, tan 25° = cd/ad

⇒ 0.4663 = cd /(x+57)

⇒ cd = 0.4663(x+57)             ......................... (1)

In Δbcd, tan 37° = cd/x

⇒ 0.7536 = cd/x

⇒ x =cd / 0.7536                   .......................... (2)

Solving for the Distance cd

Substitute the value of in equation (2) to equation (1) to get,

cd = 0.4663 ((cd/0.7536)+57)

cd = 0.4663(cd+42.9552)/0.7536

0.7536cd = 0.4663cd + 20.03

0.7536cd - 0.4663cd = 20.03

0.2906cd = 20.03

cd = 20.03/0.2906

Thus, the distance cd ≈ 68.93m

Finding the Distance cb and Distance ca

In Δacd, sin25° = cd/ca

⇒ 0.4226 = 68.93/ca

ca = 68.93/0.4226

ca = 163.10

∴ The distance ca ≈ 163m

Similarly, in Δbcd, sin37° = cd/cb

⇒ 0.6018 = 68.93/cb

cb = 68.93/0.6018

cb =114.54m

∴ The distance cb ≈ 115m

Therefore, the points a and b are at a distance of 163m and 115m respectively from the top of the building.  

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Ed records the temperature of two pots of water. The pots are the same size and material. Pot X has a temperature of 56 degrees Fahrenheit, and pot Y has a temperature of 49 degrees Fahrenheit. What conclusion can Ed make about the pots of water

Answers

Answer:

The water in pot X is hoter than that of pot Y

Answer:

A is the answer

Step-by-step explanation:

An igloo can be modeled as a hemisphere. Its radius measures 6.3 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.

Answers

The volume of the igloo is 523.43 m^3

How to get the volume of the igloo?

We know that the volume of a sphere of radius R is:

[tex]V = (4/3)*pi*R^3[/tex]

Where pi = 3.14

Then the volume of a hemisphere is half of that.

In this case, we have a hemisphere with a radius of 6.3m, then the volume will be:

[tex]V = (1/2)*(4/3)*3.14*(6.3m)^3 = 523.43 m^3[/tex]

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Solve 3[-x + (2 x +1)]=x-1

Answers

The result of the evaluation of the equation given in the task content is; x =-2.

What is the solution of the equation?

It follows from the task content that the equation given whose solution is to be determined is;

3[-x + (2 x +1)]=x-1

The equation can be solved as follows;

-3x + 6x +3 = x-1

2x = -4

x = -2

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write the slope-intercept form of the equation of each line

1. x-3y = 6

2. 4x-y = 1

3. 6x+5y = -15

4. 13x- 11y =-12

Answers

Answer:

y = [tex]\frac{1}{3}[/tex]x - 2y = 4x - 1y = -[tex]\frac{6}{5}[/tex]x - 3y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m represents the slope and b represents the intercept.

x - 3y = 6

3y = x - 6

y = [tex]\frac{1}{3}[/tex]x - 2

4x - y = 1

y = 4x - 1

6x + 5y = -15

5y = -6x - 15

y = -[tex]\frac{6}{5}[/tex]x - 3

13x - 11y = -12

11y = 13x + 12

y = [tex]\frac{13}{11}[/tex] + [tex]\frac{12}{11}[/tex]

Find the center and radius of the circle with the equation: (x-0^2 + (y+1)^2 = 4

a.
center: (-5, 1)
radius: 4
c.
center: (-5, 1)
radius: 2
b.
center: (5, -1)
radius: 4
d.
center: (5, -1)
radius: 2

Answers

The center and radius of the circle is (b) center: (-5, 1) radius: 2

How to determine the center and the radius?

The circle equation is given as:

(x-5)^2 + (y+1)^2 = 4

The circle equation is represented as:

(x-a)^2 + (y-b)^2 = r^2

Where:

Center = (a,b)

Radius = 4

By comparison, we have:

(a, b) = (-5, 1)

r^2 = 4

This gives

(a, b) = (-5, 1)

r = 2

Hence, the center and radius of the circle is (b) center: (-5, 1) radius: 2

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Plss help give brainiest if right!

the speed of the boat going with a current is 20 mph. when the
boat goes against the current, the speed is 16 mph. find the speed of
the boat in still water and the speed of the current.

Answers

Answer:

The speed of the boat in still water is 18 mph.

The speed of the current is 2 mph

Step-by-step explanation:

Let x constitute the charge of the boat in nonetheless water.

Let y constitute the rate of the contemporary.

When the boat is going against the modern-day, the rate is sixteen mph. Assuming it traveled against the modern at the equal time as going upstream, its general speed may be (x - y) mph. It way that

x - y = 16  (equation 1)

Going downstream, the boat averages 20 mph. Assuming it traveled with the current, its standard pace would be (x + y) mph. It way that

x + y = 20  (equation 2)

Adding each equation, it becomes

2x = 36

x = 36/2

x = 18 mph

Substituting x = 18 into equation 1, it will become

18 - y = 16

y = 18 - 16

y = 2 mph

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Equivalent ratios what’s the answer
3:6=

Answers

Step-by-step explanation:

you multiply both sides by the same factor, so that the main message or information, the ratio, stays the same :

3:6 × 2/2 = 6:12

3:6 × 1/3 / 1/3 = 1:2

3:6 × 4/3 / 4/3 = 4:8

3:6 × 100/100 = 300:600

so, these are all equivalent ratios. and there are infinitely more, as you can see.

round to the hundredths pl[tex]2÷6.3[/tex]ace

Answers

The value of the expression [tex]2 \div 6.3[/tex] is 0.32

How to solve the expression?

The expression is given as:

[tex]2 \div 6.3[/tex]

Rewrite as:

[tex]2 \div 6.3= \frac{2}{6.3}[/tex]

Multiply the expression by 10/10

[tex]2 \div 6.3= \frac{20}{63}[/tex]

Divide 20 by 63

[tex]2 \div 6.3= 0.31746031746[/tex]

Approximate to the nearest hundredth

[tex]2 \div 6.3= 0.32[/tex]

Hence, the value of the expression [tex]2 \div 6.3[/tex] is 0.32

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Hi Guys!
I need help ASAP

Answers

Answer:

8.

Step-by-step explanation:

P/Q = 3.125 = 3 1/8

- looks like the denominator Q could be 8.

It could not be any of the other choices.

25/8 = 3.125.

Find the digits x and y such that number 90x0y07 is divisble by 2017

Answers

No digit with the format 90x0y07 is divisible by 2017

How do determine the digits x and y?

The given parameters are:

Dividend = 90x0y07

Divisor = 2017

The dividend is a 7-digit number, and the divisor is a 4-digit number

So, the quotient must be 3 to 4 digits.

Comparing the first and last digits of 90x0y07 and 2017;

The first and last digits of the quotient must be 4 and 1, respectively

So, we have:

90x0y07 = 2017 * 4a1

Assume a = 9.

So, we have:

90x0y07 = 2017 * 491

90x0y07 = 990347

The above is 6-digit.

So, we make use of a 4-digit quotient

This gives

90x0y07 = 2017 * 4ab1

Next, we make use of trial by error.

After several attempts, we conclude that no digit with the format 90x0y07 is divisible by 2017

The closest attempt is

90x0y07 = 2017 * 4471

90x0y07 = 9018007

Where:

x = 1, y = 0 and the digit between x and y is 8, not 0

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Graph and label each of the ordered pairs in the coordinate plane. Then state the quadrant
or axis in/on which the point is located.
55. A(2, 4)
56. B(0, -3)
57. C(1, -1)
59. E(-4,1)
61. G(-3,-2)
63. I(0, 2)
58. D(3, 3)
60. F(2,0)
62. H(-2, 3)
64. J(-1,-4)

Answers

The quadrants of the points are

Quadrant 1: Points A and DQuadrant 2: Points E and HQuadrant 3: Points G and JQuadrant 4: Points Cx-axis: Point Fy-axis: Point B and I

How to determine the quadrants?

The points are given as:

A(2, 4)    B(0, -3)   C(1, -1)

E(-4,1)     G(-3,-2)   I(0, 2)

D(3, 3)     F(2,0)    H(-2, 3)

J(-1,-4)

Next, we plot each coordinate on a graph (see attachment)

From the attached graph, we have the following categories

Quadrant 1: Points A and D

Quadrant 2: Points E and H

Quadrant 3: Points G and J

Quadrant 4: Points C

x-axis: Point F

y-axis: Point B and I

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Find the area of a circle with radius, r =
6.05m.
Give your answer rounded to 2 DP.
r
The diagram is not drawn to scale.

Answers

Answer:

Step-by-step explanation:

The area of a circle is πr²

so your area is 114.99

Other Questions
A metal ring is placed over the top of the extending core rod of an electromagnet so that it lies still on a platform as shown below. At t = 0, the switch for the electromagnet is closed and it produces an AC magnetic field B(r, t) = B(r) sin(t), i.e., as a fixed B(r) pattern with cylindrical symmetry modulated by a sinusoidal time factor sin(t), and the associated magnetic flux through the ring, while still over the magnet core rod, is (t) = (0) sin(t) where 0 = R B(r) da is the time-independent flux of B(r) through the ring, and is taken to be positive. Take the upward direction to be +z. The following steps guide us to find the force on the ring.a.) Take the ring to have a self inductance L, but negligible resistance. Find the induced current I(t) in the ring with the initial condition I(0) = 0. Express your answer in terms of 0 and L.b.) Give sketches showing the directions of I, B acting on the ring, and the Force dF = IdL B acting on a small segment of the ring for (i) 0 < t < T/4, (ii) T/4 < t < T/2, (iii) T/2 < t < 3T/4, and (iv) 3T/4 < t < T, where T = 2/ is the period of the AC magnetic fieldc.) Now find the total magnetic force F(t) acting on the whole ring, and the time averaged force F over one full cycle T. Express your answer in terms of 0, L, B(R0), and . Here R0 is the radius of the ring, B(R0) is the strength of magnetic field at the position of the ring, and is the angle B(R0) makes with the vertical as shown in the figure.d.) Now suppose the ring has negligible self inductance, but a finite resistence R. Repeat (b) for this case. What will F be now? Consider the following reaction:CO(g)+2H2(g)CH3OH(g)Kp=2.26104 at 25 C. Calculate Grxn for the reaction at 25 C under each of the following conditions.Part A:standard conditionsPart B:at equilibriumPart C:PCH3OH= 1.1 atm ;PCO=PH2= 1.3102 atmExpress your answer using two significant figures. A series RLC circuit attached to a 120 V/60 Hz power line draws 1.40 A of current with a power factor of 0.910. What is the value of the resistor? to reject a null hypothesis for the finger tapping example in the text, we would 5. Recall What political advantage did theKnow-Nothing Party gain by opposing Irishimmigrants? stock valuation is a science. select one: true false What is the difference between F factor transfer and Hfr transfer? secondary research is the process of creating technical information yourself, as opposed to collecting information that other people have discovered or created.T/F find the surface area of this cylinder to 1dp h=18cmr=12cmplease help thanks Module 04 Written Assignment Nursing Process - Case StudyPlease read the following case study and complete the questions below.Daniel is a 16 year old boy who is an identical twin. He and his brother Jeff are very close and do most things together. While Daniel excels at sports he believe his brother is much better at most everything. Daniel, his brother, and their two sisters live with their parents in the Midwest. Recently Daniel has been feeling more tired than usual. He thought it was because of his schedule and school work, which he is fairly good at. He gets mostly Bs, but his grades have been slipping of late. One day he fainted while getting ready for a game. His coach called his parents to let them know Daniel was taken to the Emergency Room. While there the doctor decided to admit Daniel to the hospital for observation. At the time he was running a slight fever, his breathing was shallow, and he was sweating. He was also very sleepy and his blood pressure was high. He did have some abnormal laboratory work, but his doctor was not too concerned at present. Daniel also stated that he felt achy.You are assigned to take care of Daniel today and when you walk into his room, his mother and brother Jeff are there. Daniel appears to be sleeping. In your written assignment, respond to the following questions applying the nursing process: You decide to travel to a star 64 light-years from Earth at a speed that tells you the distance is only 31 light-years. How many years would it take you to make the trip? Count the time in the traveler's system Given the DNA sequence 5-TAC AAA ATA CAG CGG-3, which of these sequences represents a missense mutation?A) 5-TAC AAA ATA CAG AGG-3B) 5-TAC AAG ATA CAG CGG-3C) 5-TAC AAA TAC AGC GGG-3D) 5-TAG AAA ATA CAG CGG-3E) 5-TAC AAA ATA CAC CGG-3 calculate the mass percent of a sucrose solution that is made by mixing 4.84 grams of sucrose into 14.7 grams of water. report your answer to one place past the decimal. how to find spring constant k from log w vs log m The Fahrenheit temperature readings on several Spring mornings in New York City are represented in the graph. Frequency (Number of Days) 11 10 0 9 40-44 45-49 50-54 55-59 Degrees Fahrenheit 60-64 65-69 For how many days was the temperature recorded? As of 2018, how many space probes had flown past Uranus closely enough to take detailed pictures? what is the primary species in solution at the halfway point in a titration of hcn with koh? glaucoma affects nearly 15 percent of people over age 40. _____ 2. womens hearing declines earlier and more rapidly than mens Let Z ~ N(0, 1) and X ~ N( 2) This means that Z is a standard normal random variable with mean 0 and variance 1 while X is a normal random variable with mean and variance 2 (a) Calculate E(Z3) (this is the third moment of Z) b) Calculate E(X) Hint: Do not integrate with the density function of X unless you like messy integration. Instead use the fact that X-eZ + and expand the cube inside the expectation. the atmega64 has _______ bytes of on-chip data ram.