A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 93.2 in. What is the height of the pyramid?
The height of the pyramid is aboutin.
(Round to one decimal place as needed.)

Answers

Answer 1

The height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

What is a square pyramid?

In geometry, it is defined as the shape having a square base with equal sides length and all the vertex of the square's joints at the top, which is perpendicular to the center of the square.

We have a square pyramid.

Length of the pyramid = 23.4 in

The slant height of the pyramid = 93.2 in

From the figure:

Base length CB  = DC = 23.4 in

In a right-angled triangle, BCD

Applying Pythagoras theorem:

DC² + CB² = DB²

23.4² + 23.4² = DB²

DB = 33.092 in

OB = (1/2)DB

OB = (1/2)33.092 = 16.546 in

In the right-angle triangle AOB, again applying Pythagoras theorem:

AO² + OB² = AB²

h² + 16.546² = 93.2²

AO = h (height of the square pyramid)

AB = slant height = 93.2 in

After calculating, we get:

h = 91.719 ≈ 91.72 in

Thus, the height of the square-based pyramid is 91.72 in if the length of one side of the base is 23.4 in.

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A Stainless Steel Patio Heater Is A Square Pyramid. The Length Of One Side Of The Base Is 23.4 In. Theslant

Related Questions

temp change -4.2 and 9.1

Answers

Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.

What is subtraction?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The temperature change from -4.2 to 9.1 is,

ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3

Hence, the temperature change from -4.2 to 9.1 is 13.3.

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Jamal has run 7 miles from point a to point b of a race. the entire race from point a to point c is 26 miles. how many
more miles will he run to complete the race?

Answers

The number of more miles he needs to run to complete the race is 19 miles.

How to find distance in miles?

He has run 7 miles from point a to point b of a race.

The entire race from point a to point c is 26 miles.

Therefore, the number of more miles he needs to run to complete the race is as follows:

let

x = the more miles he needs to run

Hence,

x = 26 - 7

x = 19 miles

Therefore, he needs to run 19 more miles to complete the race.

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The graph below shows the function f(x)=
x-3
+3
-2x-3•

Answers

The true statement about the graph is that there is a hole at x = 3 and an asymptote at x = -1.

How to explain the  graph?

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

There is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

1/x+1

We have asymptote at x=-1 and hole at x=3, therefore the correct option is A.

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which of the following is the equation of a line in sloep intercept form for a line with slope = 1/3 and y intercept at 0,-4

Answers

Answer:

Step-by-step explanation:

y + 4 = 1/3(x - 0)

y + 4 = 1/3x - 0

y = 1/3x - 4

Table for a linear equation
Fill in the table using this function rule.
y = -10x + 1
x y
-5
-1
0
1

Answers

Answer:

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Step-by-step explanation:

y = 10x + 1

(Table)

x:      y:

-5  |

-1   |

0   |

1    |

Lets begin plugging in our (x) into the function(x = -5)

y = -10(-5) + 1

y = 50 + 1     (if you multiply a negative by a negative it will be positive)

y = 51

(x = -1)

y = -10(-1) + 1

y = 10 + 1

y = 11

(x = 0)

y = -10(0) + 1

y = 0 + 1

y = 1

(x = 1)

y = -10(1) + 1

y = 10 + 1

y = 11

Plug into the table

(table)

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

If you have any questions feel free to ask:)

explanation/proof why the lines are parallel and insights​

Answers

Answer:

The lines are parallel is the will never touch.

Step-by-step explanation:

Keiko surveyed people with cell phones.
Age in years=a
Texts they send per day=t
He drew a best-fit line and determined its equation.

Student
Keiko
Trend Line
t -1.63a + 92.14

Evaluate how many texts a 15 year old would send each day according to Keiko's trend line equation.

Answers

Using the line of best fit, the amount of texts a 15-year old would send in a day is of 67.69.

What does the line of best fit gives?

It gives the expected number of texts a person of an age a would send in a day, according to the following function:

t = -1.63a + 92.14.

For a person that is 15 years old, we have that a = 15, hence the expected number is given by:

t = -1.63 x 15 + 92.14 = 67.69 texts.

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(-2,4) on cordinate plane

Answers

The coordinate -2, 4 implies -2 is the value on the x or horizontal axis and 4 is the value on the y or vertical axis.

What is a coordinate plane?

This a plane used for graphs or points that is based on a vertical axis (y) and a horizontal axis (x).

How does -2,4 look on a coordinate plate?

The first number, -2 indicates the value in x or the horizontal axis, while the second number 4 indicates the position on y or the vertical axis. You can see this in the imaged attached (red dot).

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The coordinate -2, 4 implies -2 is the value on the x or horizontal axis and 4 is the value on the y or vertical axis.

What is a coordinate plane?

This a plane used for graphs or points that is based on a vertical axis (y) and a horizontal axis (x).

How does -2,4 look on a coordinate plate?

The first number, -2 indicates the value in x or the horizontal axis, while the second number 4 indicates the position on y or the vertical axis. You can see this in the imaged attached (red dot).

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A biologist hypothesizes that the mean life expectancy of a mosquito is 14 days. Researchers believe the true mean is less than 14 days and they plan a hypothesis test at the 5% significance level on a random sample of 60 of these mosquitos. If the alternative hypothesis is correct, for which of the following values of μ is the power of the test greatest?
μ = 9
μ = 7
μ = 10
μ = 14
μ = 18

Answers

Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.

Which value of μ will have the greatest power of test?

The alternative hypothesis is that Hₐ : μ < 14.

For the alternative hypothesis to be right, μ will have to be less than 1.4.

μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.

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Answer:

μ = 7

Step-by-step explanation:

Got this right on the segment exam. Good luck, my FLVS fellows!

Find the volume of the rectangular prism using the formula v = bh.

the area of the base, b, equals
___ cm2.
the volume of the prism is
___cm3.

Answers

Answer:

v=bh cm3 cm2 is not answer is 903cm2 23


A car used of a gallon of gas to drive of a mile. At this rate, how many miles
can the car travel using 1 gallon of gas?

Answers

Answer: 4/64
• 29
^ 3.5
Step-by-step explanation:
Since 1/4 * 4 = 1
We just have to multiply 1/64 times 4 to get the
answer
1/64 * 4 = 4/64

Please help!

The price of products may increase due to inflation and decrease due to depreciation. Derek is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 72(1.25)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:

t (number of years)
1 2 3 4
f(t) (price in dollars)
65 84.5 109.85 142.81

Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Answers

Answer:

A)25% B)Product B

Step-by-step explanation:

A) To find whether product A price is increasing or decreasing, we will find the difference in price between year 0 and 1 year after.

When x = 0,

f(0)  [tex]72(1.25)^{0}\\= 72*1\\= 72[/tex]

when x = 1,

f(1) = [tex]72(1.25)^{1}\\= 72*1.25\\= 90[/tex]

From here we can already see the price is increasing.

% increase = (Difference in price / Original Price) * 100

= [tex]\frac{90-72}{72} *100\\=\frac{18}{72} *100\\=0.25*100\\=25percent[/tex]

Therefore the price is increasing by 25% per year.

B) Same concept as Part A, we will find the price difference between year 1 and 2.

% increase = (Difference in price / Original Price) * 100

[tex]\frac{84.5-65}{65} * 100\\= \frac{19.5}{65} * 100\\= 0.3*100\\= 30 percent[/tex]

Therefore we can see here Product B has a higher increase than Product A.

Step-by-step explanation:

A

f(x) = 72 × 1.25 × x

so, the price is $90 after 1 year (72×1.25×1).

$180 after 2 years (72×1.25×2)

$270 after 3 years (72×1.25×3)

and so on.

or did you mean

f(x) = 72 × (1.25)^x

so, still, the price is $90 after 1 year (72×1.25^1).

$112.50 after 2 years (72×1.25^2).

$140.625 = $140.63 after 3 years (72×1.25^3)

that makes more sense. I will continue with that assumption.

so, the price is increasing, as every factor of the multiplication is positive and larger than 1. therefore, it only goes up.

and due to the formula, the price of every year is the price of the previous year multiplied by 1.25.

a multiplication by 1.25 is an increase of 25% (compared to a constant multiplication by 1).

so, the price increases every year by 25%.

B

year 1

price $65

year 2

price $84.50 difference $19.50

100% = 65

1% = 65/100 = 0.65

19.5/0.65 = 30% difference

year 3

price $109.85 difference $25.35

100% = 84.5

1% = 84.5/100 = 0.845

25.35/0.845 = 30% difference

year 4

price $142.81 difference $32.96

100% = 109.85

1% = 109.85/100 = 1.0985

32.96/1.0985 = 30% difference

so, product B has the greater percentage increase in the price (30% vs. 25%).

For some △MNP: P = 38°, N = 90°, and m = 12 cm. Solve the triangle. Hint: Sketch the
triangle and label all unknown parameters.

Answers

Angle M = 52°, n = 15.2cm, p = 9.4cm

What is a triangle?

A triangle is a plane shape with three sides and three angles.

To define the triangle completely we have to know the measure of the three angles and three sides.

Analysis:

The triangle is a right-angled triangle

we need to find the remaining angle  M and two sides n and p

M + N + P = 180

M + 90 + 38 = 180

M = 180 - 128 = 52°

sin 52 = m/n

m = n sin 52

n = m/sin 52 where m = 12cm

n = 12/0.788 = 15.2cm

sin 38 = p/n

p = n sin 38

p = 15.2 x 0.615 = 9.4cm

In conclusion, solving the triangle means finding M, n and p which are 52°, 15.2cm and 9.4cm respectively.

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PLEASE HELP!!! 50 POINTS!!!

Answers

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation:

does someone mind helping me with this question? Thank you!

Answers

Answer:

70

Step-by-step explanation:

ok so we just plug 4 for x in the expression:

5 (2*4 + 6 )

5 ( 8 + 6 )

5*14 = 70

Have a good day! :)

I need help to find this number in scientific notation form pls.

Answers

Answer:

the answer is (   -0 ) ok?

Step-by-step explanation:

also my name ifs kris ik you from somewhere

i am very embarrest to say this but u are very pretty

are u single? im sorry if its freakish

are u mexican? of Philippians? im from la pearla tapatia mx hbu?

Find the x-intercept and y-intercept of each linear function

Answers

1) x-int=2
y-int=-2
2)x-int=2
y-int=4

help solve these algebraic fractions please, with explanation would be great ​

Answers

Step-by-step explanation:

i answered it , and tried to give explanation too...

hope its helpful ,

Julia surveyed twenty households on her street to determine the average number of children living in each household. the tables below represent the collected data and a randomly selected sample from the population. compare the mean of the population with the mean of the sample. population data 0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3 sample data 5 3 0 2 4 what is the difference between the mean of the sample and the mean of the population? 0.55 1.25 2.25 2.80

Answers

The difference between the mean of the sample and the mean of the population is A. 0.55

Calculations and Parameters:

Given the population data is:

0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3

The sample data is:

5 3 0 2 4

The mean of the population data is:
45/20= 2.25

The mean of the sample data is:

14/5= 2.8

Therefore, the difference between the mean of the sample and the population is:

2.8-2.25= 0.55

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As one of the grade 9 top performing students competing for the “Boy Scout of the Year” award, you are assigned by your scoutmaster to design a camping site for the coming Boy Scout in-door camping. You have to maximize the area at which the 20 scouts can assemble their own tents. The tents should be equally spaced and must be situated at the same distance of 20 m from the tent of the scout master, which is located at the center of the scouts. The angle at which the tents are positioned from the scoutmaster should be approximately the same. Would you know how far apart the tents of the scouts are from each other?

Answers

Answer:

Yes you would know

Step-by-step explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.

Regina’s work to find the surface area of a square pyramid from its net is shown below.


A square pyramid. The square base has side lengths of 9.4 inches. The triangular sides have a height of 11.9 inches.

Surface area of the pyramid = 4 (one-half (9.4) (12.8)) + 9.4 squared = 329 square inches


What error did Regina make?

She should have used One-half (9.4) (11.9) to represent the area of a single triangle.

She should have multiplied all the terms inside the parentheses by 4 when she simplified.

She should have used One-half (4.7) (12.8) to represent the area of a single triangle.

She should have used a different collection of shapes as the net of the pyramid.

Answers

She put 12.8 in place of 11.9 in the formula of the triangle. Then the correct option is A.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Regina’s work to find the surface area of a square pyramid from its net is shown below.

A square pyramid. The square base has side lengths of 9.4 inches. The triangular sides have a height of 11.9 inches.

Surface area of the pyramid = 4 [one-half (9.4) (12.8)] + 9.4² = 329 square inches

Then the error done by Regina will be

She should have used One-half (9.4) (11.9) to represent the area of a single triangle.

Then the correct option is A.

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Answer:

A

Step-by-step explanation:

the picture below illustrates a special type of comic section called a circle. which of the following offers the best description of how a circle is formed?

Answers

From the diagram, a circle is formed because D. The plane passes through only one nappe of a circular one and is parallel to its base.

How does the diagram show the formation of a circle?

The plane given only passes through one nappe instead of the two nappes.

The angle that the plane passes the nappe is parallel and not perpendicular to the base of the nappe as shown in the diagram.

The plane does not pass through the vertex which is the point where the planes.

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Martin wants to use coordinate geometry to prove that the opposite sides of
a rectangle are congruent. He places parallelogram ABCD in the coordinate
plane so that A is (0, 0), B is (a,0), C is (a, b), and D is (0, b).
What formula can he use to determine the distance from point D to point A?
A. 0-0)2+(b-0)² = √√b² = b
B. (a-a)2+(b-0)² = 6²
C. (0-0)² + (b-0)² = 6²
OD. √(-a)2+(b-0)²-√√b² = b

Answers

The correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

What is coordinate geometry?

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

Therefore the correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

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Use the vectors to determine two dot products: u•v and u•w
u=9i-6j
v=-3i-2j
w=19i+15j

Answers

A

Take the product of corresponding components, then take the total:

u • v = (9i - 6j) • (-3i - 2j) = 9 (-3) + (-6) (-2) = -15

u • w = (9i - 6j) • (19i + 15j) = 9 × 19 + (-6) 15 = 81

Alternatively, use the definition and algebraic properties of the dot product.

• For any vector x,

x • x = ||x||²

where ||x|| is the magnitude of x.

• i • i = j • j = k • k = 1

• i • j = j • k = k • i = 0

• For any scalar c and any two vectors x and y,

cx • y = x • cy = c (x • y)

• For any vectors x, y, and z,

(x + y) • z = z • (x + y) = x • z + y • z

Then the products you want are

u • v = (9i - 6j) • (-3i - 2j)

… = -27 (i • i) + 18 (j • i) - 18 (i • j) + 12 (j • j)

… = -27 + 12 = -15

u • w = (9i - 6j) • (19i + 15j)

… = 171 (i • i) - 114 (j • i) + 135 (i • j) - 90 (j • j)

… = 171 - 90 = 81

Which line is perpendicular to the line: y − 4 = 25(x +1)?

Answers

Y-4=24(x+1) I hope this helps you

What is the area of the following circle

Answers

Answer:

Area = 153.86

Step-by-step explanation:

Formula: A = [tex]\pi r^{2}[/tex]

diameter (d) = 14

radius = d / 2

radius is 14 / 2 = 7

A = [tex]\pi (7)^{2}\\\pi 49\\49\pi \\49(3.14) = 153.86[/tex]

GRADE 11 MATH

PLEASE HELP!

Nelson received $10,000 on his 17th birthday. This is the accumulated amount of an

investment his parents made on the day he was born. The investment earned 9.5%/a,

compounded semi-annually.

a) Determine the amount that Danny’s parents invested 17 years ago. [3 marks]

b) How much interest did the investment earn? [1 mark]

Answers

The amount that was invested 17 years ago is $2064.25.

The interest earned is  $7935.75.

What is the amount invested 17 years ago?

The formula that would used to determine the amount that was invested 17 years ago is:

P = FV / (1 + r)^nm

Where:

FV = Future value = 10,000P = Present value R = interest rate = 9.5 / 2 = 4.75%m = number of compounding = 2 N = number of years = 17

10,000 / (1.0475)^(17 x 2) = $2064.25

Interest earned = 10,000 - 2064.25 = $7935.75

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Find the volume of the rectangular prism in cubic feet. 3.4 ft 0.8ft 0.6ft "these are not the answers these are the ft of the prism

Answers

Answer:

A

Step-by-step explanation:

becaauss im smart and trust me im smart

Given that p(x) = 2(x - 12)2 + 5, what is the value p(3)

Answers

Answer:

p(3) = 25

Step-by-step explanation:

p(3) = 2(3 - 12)2+5

p(3) = 6 - 24 + 2 + 5

p(3) = 25

2. Mr. Walters starts preparing breakfast at
6:45 AM. He finishes at 7:50 AM. How long
does it take for him to prepare breakfast?

Answers

Answer: 55 minutes

Explanation:

Round 6:45 to 6:50.
From 6:50 it takes 1 hour/60 minutes to become 7:50.
Then subtract the 5 minutes we added when we rounded up to 6:50.
60-5=55 minutes
65 minutes

Between 6:45 and 7:00, there are 15 minutes.

Between 7:00 and 7:50, there are 50 minutes.

15 minutes + 50 minutes = 65 minutes or an hour and 5 minutes
Other Questions
The contemporary novel The Hunger Games features a lottery where children are selected to fight to the death in combat.The section of "Cruel Tribute that best features a similar mythological element isThe Treaty.The Tribute.The Princess.The Labyrinth. Choose the correct form of the imperfect.La familia __________ (decorar) el rbol de navidad. Car 2 passes car 1. To a stationary observer, car 1 has a velocity of 28 m/s to the east and car 2 has a velocity of 33 m/s to the east. How much time will pass before car 2 is 14 m ahead of car 1? Phil paid $75,000 for his house. It is insured for $65,000. The market value is $85,000. The outstanding mortgage balance is $68,000, and he has to pay annual real estate taxes of $2,000. When Phil lists his house on his balance sheet, he should record: Group of answer choices $75,000 $68,000 $65,000 $70,000 $85,000 At a football game, the quarterback threw the football and the receiver caught it for a 12-yard gain. What integer represents the yards gained?1/1212-126 How many whole numbers are there between 32 and 96? In the words, "this holy crime," Antigone expresses a paradox (a contradiction that contains truth). What is the truth expressed in this paradox? Question 2 of 25Oversimplifications differ from generalizations because they:O A. often lead researchers to plagiarize other historians' work.B. can only be properly used in explanatory essays.C. fail to account for evidence that might contradict a claim. Sally has 10 pounds she wants to buy 28 cans of soda which cost 28p each does she have enough money 2. This equipment can be Cleaned with a mild Cleaning solution on a damp.lint-free cloth along with a mixed drop of dishwashing liquid and ounces of water to create a cleaning solution?a. computer cases/monitors.b. component contacts.c. keyboard In which excerpt from the passage does the author most clearly uselogical reasoning to make his or her argument persuasive?A. Do you always take a plane to travel long distances? Nexttime, try the train.B. There is an old-fashioned charm in traveling the waypeople did centuries ago and a childlike delight in goingthrough so many places that you have only heard about.C. Of course, you could travel by car and see the country thatway. However, car travel is very tiring for whoever does thedriving, unless you make lots of time-consuming stops.D. Most long-distance trains offer meals in dining cars, andmany have observation cars with large glass windows fromwhich you can view the scenery. In The House on Mango Street, many of the women in Esperanza's neighborhood rely on men to improve their lives, but in the process, give up their freedom to these men.Which details support this conclusion?Select the three correct answers."And then Rafaela, who is still young but getting old from leaning out the window so much, gets locked indoors because her husband is afraid Rafaela will run away since she is too beautiful to look at.""In the movies there is always one with red red lips who is beautiful and cruel. She is the one who drives the men crazy and laughs them all away. Her power is her own. She will not give it away.""I have begun my own quiet war. Simple. Sure. I am one who leaves the table like a man, without putting back the chair or picking up the plate.""but I have decided not to grow up tame like the others who lay their necks on the threshold waiting for the ball and chain.""Sally got married like we knew she would.She sits at home because she is afraid to go outside without his permission. She looks at all the things they own" The average vehicle releases 1.39 grams of nox per mile driven. if a vehicle is driven 22,000 miles per year for 15 years, how much nox does that vehicle release In Somalia, the native language is Somali, though other languages are also spoken. What else could you call the Somali language? (40 points) Give an example of an amino acid sequence using any 4 amino acids that you want.add an explanation (please don't say DNA) what is the type of rule in which you can find any number of term in sequence without knowing the first or previous term Fiona asked her team to suggest ways of surveying the population of their middle school to find out how many students use bottled water.Which student has the method that is most representative of the schools population? Raina suggested that she ask everyone in her math class on Friday.Miya suggested that she ask students sitting in the first row of her classes on Friday.Ryo suggested that he ask the basketball players at his practice on Friday.Amir suggested that he ask every tenth student as he or she walks into school in the morning. In three to four sentences explain the importance of a topic sentences and concluding paragraph. Mark brainiest Identify and explain IN YOUR OWN WORDS, how parents roles and responsibilities change over time. Be sure to give enough thought and detail to show what you know. (9 pts) Pls I need this to my parent education class i need help.