pls answer asap i need this answer quick plus the full explanation #4

Pls Answer Asap I Need This Answer Quick Plus The Full Explanation #4

Answers

Answer 1

Answer:

Her Verticle ramp support was 5.5 ft tall.

Step-by-step explanation:

In this type of question, you would need to use the saying "soh cah toa".

Soh Cah Toa is a saying that people use for Sin, Cosine, and tagent. Each of those mean

Sine: opposite/hypotenuse Cosine: Adjacent/hypotenuse and Tagent: Opposite/Adjacent

In this specific question to figure out how tall or high her support is or needs to be have to 20 degree  angle off the ground, you will need to use Sin which is opposite over Hypotenuse or x/16

To find the answer in your calculator you would do:

Sin(20)=x/16

First thing you do is the get the x on one side by itself so you would multiply 16 on both sides giving you:

16 × Sin(20)= x

You would then follow to put Sin(20) in your calculator giving you 0.34202014332

After that you multiply that number by 16

5.47232229321

Rounding to the nearest tenth you get answer:

5.5


Related Questions

The side lengths of a triangle are 9, 12, and 15. Is this a right triangle?

Answers

Answer:

Yes, this is a right triangle.

Step-by-step explanation:

Hypotenuse always have the highest number than base and perpendicular.

Hypotenuse ( h ) = 15

Base ( b ) = 9

Perpendicular ( p ) = 12

Let's see whether the given triangle is a right triangle or not

Using Pythagoras theorem:

[tex] {h}^{2} = {p}^{2} + {b}^{2} [/tex]

Plugging the values,

[tex] {15}^{2} = {12}^{2} + {9}^{2} [/tex]

Evaluate the power

[tex]225 = 144 + 81[/tex]

Calculate the sum

[tex]225 = 225[/tex]

Hypotenuse is equal to the sum of perpendicular and base.

So , we can say that the given lengths of the triangle makes a right triangle.

Hope this helps..

Best regards!!

Answer:

[tex]\boxed{Yes.}[/tex]

Step-by-step explanation:

To solve this equation, we can use the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], where [tex]a[/tex] and [tex]b[/tex] are regular side lengths and [tex]c[/tex] is the hypotenuse.

The hypotenuse is the longest side of a triangle and is assigned to the [tex]c[/tex]-variable.The other two side lengths can be assigned to either [tex]a[/tex] or [tex]b[/tex] because of the commutative property: [tex]a + b = b + a[/tex].

Now, just substitute the side lengths into the formula and solve!

[tex]9^2 + 12^2 = 15^2[/tex]    Simplify the equation by taking each value to its power.

[tex]81 + 144 = 225[/tex]    Simplify by adding like terms.

[tex]225 = 255[/tex]

Therefore, this is indeed a right triangle.

Which equation describes the same line as y -3 equals -1 (x + 5)?

Answers

Answer:

y=-x-2

Step-by-step explanation:

y-3=-x-5

y=-x-2

Two circles are drawn below. The diameter of the smaller circle is a radius of the larger circle. What is the ratio of the smaller circle's circumference to the larger circle's circumference? Give your answer in fully simplified form. It should look like "x:y", where x and y are replaced by integers. [asy] size(4cm); pair o=(0,0); pair x=(0.9,-0.4); draw(Circle(o,sqrt(0.97))); draw(Circle((o+x)/2,sqrt(0.97)/2)); dot(o); dot(x); dot(-x); draw(-x--x); [/asy] Hint(s): Read the question carefully. Does it ask about a ratio of areas? Of radii? Of diameters? Of circumferences? Which question did you answer? Which was asked?

Answers

Answer:

  1 : 2

Step-by-step explanation:

The ratio is ...

  small dia : large dia = 1 : 2 = small circumference : large circumference

__

Further explanation

The diameter of the small circle is the radius of the large circle. Since the large circle's diameter is twice the length of its radius, the ratio of circle diameters is ...

  small : large = 1 : 2

We multiply the diameter by π to get the circumference. Multiplying both these numbers by π will give the ratio of the circumferences. In order to reduce the ratio to lowest terms we must divide by π again:

  dia ratio = circumference ratio = lowest terms ratio

  1 : 2 = π : 2π = 1 : 2

Answer: 1:2

Step-by-step explanation:

Which statement about the function is true? The function is positive for all real values of x where x > –4. The function is negative for all real values of x where –6 –3. The function is negative for all real values of x where x < –2.

Answers

Answer:

Which statement about the function is true?

The function is positive for all real values of x where

x > –4. <<<CORRECT

The function is negative for all real values of x where

–6 < x < –2.

The function is positive for all real values of x where

x < –6 or x > –3.

The function is negative for all real values of x where

x < –2.

Step-by-step explanation:

November Edge 2021

Function f(x) is positive for the values x ≤ -6 and x ≥ -2 and negative in the interval -6 ≤ x ≤ -2.

What is parabola?

A parabola is a plane curve that is mirror-symmetrical and roughly U-shaped in mathematics. It fits several seemingly disparate mathematical descriptions, all of which can be shown to define the same curves.

The graph of the function f(x) = (x + 2)(x + 6) is a downward facing parabola that intersects the x-axis at x = -6 and x = -2.

Therefore, we can conclude that the function is negative for all real values of x where x < -6 or x > -2 (outside the x-intercepts).

The function is positive for all real values of x where x lies between the x-intercepts, which means -6 < x < -2.

Therefore, the statement that is true is: "The function is negative for all real values of x where x < -6 or x > -2. The function is positive for all real values of x where -6 < x < -2."

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Your question seems incomplete, the probable complete question is:

Which statement about the function is true?

O The function is positive for all real values of x where

The function is negative for all real values of x where

-6exs-2.

O The function is positive for all real values of x where

X-6 orr-3

O The function is negative for all real values of x where

x<-2

On a ski lift, the distance between chairs is inversely proportional to the number of chairs. At a
ski resort, one lift has 80 chairs spaced 16 meters apart. What is the constant of variation.
A.1280 B.5 C.1/5 D.1/1280

Answers

Constant of variation = number of chairs/ spacing.

80/16 = 5

The answer is B.5

There are 6 different colored pens in a box. Each pen has a unique color. In how many orders can 4 pens be chosen? In other words, what is the number of permutations of picking 4 pens from the box?

Answers

Answer:

360 different permutations.

Step-by-step explanation:

It goes 6*5*4*3 because as you pick the pens the amount of pens in the jar would obviously decrease. Picking one leaves you with 5 new options. If you repeat that 4 times then you are left with 360 options.

The number of permutations of picking 4 pens from the box is 6P4, or 6!/(6-4)! = 654×3 = 360.

We have 6 pens and we are picking 4 of them. The order in which we pick the pens matters, so we are dealing with permutations.

The number of permutations of n objects is given by n!, or n factorial. So, the number of permutations of 6 objects is 6!.

However, we need to divide by the number of permutations of the 2 pens that we are not picking. There are 2 pens that we are not picking, so the number of permutations of those pens is 2!.

Therefore, the number of permutations of picking 4 pens from the box is 6!/(6-4)! = 654×3 = 360.

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74 divided by 3 times 7 equals what?

Answers

Answer:

518 / 3.

Step-by-step explanation:

(74 / 3) * 7 = (74 * 7) / 3 = 518 / 3 = 172 and 2/3 = 172.6666666667.

Hope this helps!

A bag contains 1 blue, 2 green, and 3 red marbles, as shown. 1 blue marble, 2 green marbles, and 3 red marbles. What is the probability of drawing a green marble out of the bag without looking? StartFraction 1 over 6 EndFraction One-fifth One-third One-half

Answers

Answer:

1/3!

Step-by-step explanation:

Good Luck On Whatever You Needed This For!

The probability of drawing a green marble out of the bag without looking is 1/3.

Given that, a bag contains 1 blue, 2 green, and 3 red marbles.

What is the probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favorable outcomes/Total number of outcomes

Total number of outcomes =1+2+3 =6

Number of favorable outcomes = 2

Now, probability of drawing green marble

= 2/6

= 1/3

Therefore, the probability of drawing a green marble out of the bag without looking is 1/3.

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I will make u brainliest n give u five stars if u answer this right Pls find the area oh H in mm squared

Answers

Answer:

[tex]24200 mm^{2}[/tex]

Step-by-step explanation:

200*50+200*50+70*60

=24200 mm^{2}

What is the perimeter of the rectangle?

Answers

Answer:

32

Step-by-step explanation:

P=2(l+w)

so 2(11+5)=P

2(11+5)=32

32 is the answer, I’m gonna have to agree with the other guy

Pls answer the 9th question...plsss fast

Answers

Answer:

i) x = 65°       ii)  x = 60°     iii)  x = 34°

  y = 50°           y = 80°           y = 124°

Step-by-step explanation:

i) x = 180-115= 65°

  y = 65+65= 130

     =  180-130= 50°  

ii) x = 90+30= 120

         180-120= 60°

   y = 60+20= 80

         180-80 = 100

         180-100= 80°

iii) y = 34+90= 124

    x = 180-124= 56

           56+90= 146

           180-146= 34°

I hope this helped, mark me brainliest please :)

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

Answers

Answer:

Two complex roots

Step-by-step explanation:

A discriminant of a quadratic equation ax² + bx +c is:

D= √b²-4ac

For the given function f(x)= 6x² - 5x + 3 the discriminant is:

D= √(-5)² - 4*6*3= √25- 72 = √-47= i√47

Since it has i element, the roots are complex

Correct option is the first one

juice is $1.79 for 8-4.23 ounce boxes. What is the unit price

Answers

Answer:

I believe the unit price would be 2.39 per unit

Step-by-step explanation:

Marked price of a camera is Rs.5000. If it
sold at 15% discount, what will be discount amount?​

Answers

The discount is 15%, multiply the price y 15%:

5000 x 0.15 = 750

The discount is 750

Please answer please please thank you thank

Triangles ABC and EDC are outlined on a bridge. The triangles share vertex C and angles D and B are right angles. A new bridge structure requires triangles that are in a ratio of 1:1. If AC = 5x − 5 and EC = 3x + 9, find the distance between the top and bottom of the bridge, in feet.

Answers

CHECK THE ATTACHED FIQURE FOR THE BRIDGE

Answer:

60 ft

Step-by-step explanation:

From the question we know that triangles ABC and EDC are in a 1:1 with this given ratio it implies that

triangles ABC and EDC are congruent then we can say

side EC = side AC

3x + 9 = 5x - 5

Then we can simplify to know value of x

3x + 14= 5x

2x = 14

x = 7

But we know that AC= 5x - 5 , then substitute value of x into it

AC = 5x + 5 = 5(7) - 5

= 35 - 5

AC= 30 ft

Also EC= 3x + 9 then substitute value of x into it

EC = 3x + 9 = 3(7) + 9

= 21 + 9

EC= 30 ft

Then the the distance between the top and bottom of the bridge, in feet, = EC+AC

= 30 + 30 = 60 ft

Answer:

60 ft

Step-by-step explanation:

i did the test

Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.

Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.

Answers

Answer:

Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.

Answer:

a c e

Step-by-step explanation:

Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 3?

Answers

Answer as a fraction = 1/18

Answer in decimal form (approximate) = 0.0556

Answer in percent form (approximate) = 5.56%

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

Explanation:

We have 6*6 = 36 ways to roll out two dice. I recommend making a chart to show all the possible outcomes. You can search online for a "dice chart" or "sum of dice chart" and one will be made for you. The chart is a handy reference to see all the outcomes.

Of those 36 total outcomes, only 2 outcomes have the dice add to 3. Those two outcomes are 1+2 and 2+1.

So the number of events we want is 2 out of 36 total, meaning 2/36 = 1/18 is the probability.

Using your calculator, you should find that 1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

The probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

Two 6-sided dice are rolled. We need to find the probability the sum of the two numbers on the die will be 3.

We have 6 x 6 = 36 ways to roll out two dice.

Out of those 36 total outcomes, only 2 outcomes have the dice add to 3.

Those two outcomes are 1+2 and 2+1.

Thus, the number of events we want is 2 out of 36 total,

2/36 = 1/18 is the probability.

1/18 = 0.0556 approximately, which converts over to 5.56% roughly.

Therefore,  the probability the sum of the two numbers on the die will be 3 is 5.56% roughly.

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The school play has two leading roles. The play's director decides to choose the leading actors by drawing two names from a hat that contains the names of four students who want the lead parts. You and your best friend both want to be leads. What is the probability that you will be selected first, and then your best friend will also be selected for a leading role? A. 1/4 B. 1/8 C. 1/12 D. 1/16

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

The answer is:  C. 1/12

Step-by-step explanation:

I know this is correct because I have the same question on my assignment and it was right.

HELP PLEASE



Carmen received a $80 gift card for a coffee store. She used it in buying some coffee that cost $8.44 per pound. After buying the coffee, she had $37.80 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

Carmen bought 5 pounds of coffee

Step-by-step explanation:

The cost of buying coffee is $8.44 per pound. Let us assume she bought x pound of coffee, this means that she spent $8.44x on coffee.

She went to the coffee store with $80 gift card and left with $37.80, this means that after spending $8.44x from the initial $80, she had $37.80. To find the number of pounds she bought, we are to use the following equation:

80 - 8.44x = 37.80

8.44x = 80 - 37.80

8.44x = 42.2

x = 42.2/ 8.44 = 5

x = 5 pounds.

Carmen bought 5 pounds of coffee

The net of the figure shown is made of which set of
shapes?
3 triangles and 1 square
3 triangles and 1 rectangle that is not a square
4 triangles and 1 square
4 triangles and 1 rectangle that is not a square

Answers

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation:

A sequence is defined by the formula f(n+1)=f(n)-3. If f(4)=22, what is f(1)?
o 10
013
0 31
O 34

Answers

Answer:c.31

Step-by-step explanation:

The value of function f (1) is,

⇒ f (1) = 31

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to given that;

A sequence is defined by the formula,

⇒ f (n+1) = f(n) - 3

Now, We can find the value of f (1) as;

Here, f (4) = 22

Put n = 3;

⇒ f (n+1) = f(n) - 3

⇒ f (3+1) = f(3) - 3

⇒ f (4) = f (3) - 3

⇒ 22 = f (3) - 3

⇒ 22 + 3 = f(3)

⇒ f(3) = 25

Put n = 2;

⇒ f (2+1) = f(2) - 3

⇒ f (2+1) = f(2) - 3

⇒ f (3) = f (2) - 3

⇒ 25 = f (2) - 3

⇒ 25 + 3 = f(2)

⇒ f(2) = 28

Put n = 1;

⇒ f (n+1) = f(n) - 3

⇒ f (1+1) = f(1) - 3

⇒ f (2) = f (1) - 3

⇒ 28 = f (1) - 3

⇒ 28 + 3 = f(1)

⇒ f(1) = 31

Thus, The value of function f (1) is,

⇒ f (1) = 31

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What is the value of a for the exponential function in the
graph represented in the form of f(x) = a(b)?
O -4
O -3
O 3
O 4

Answers

Answer:

Option (4)

Step-by-step explanation:

If the given exponential function is in the form of f(x) = [tex]a(b)^x[/tex]

From the graph we find that two points (0, 3) and (0.5, 6) lie on the graph.

For (0, 3),

f(0) = [tex]a(b)^0[/tex]

3 = a

For (0.5, 6),

f(0.5) = [tex]3(b)^{0.5}[/tex]

6 = [tex]3\sqrt{b}[/tex]

[tex]\sqrt{b}=2[/tex]

b = 4

Therefore, value of b in the given function 'f' is 4.

Option (4) will be the answer.

Answer:

(D) 4

Step-by-step explanation:

♥☺

Kelly needed to use 3 pounds 15 ounces of clay to make a bowl and twice as much to make a vase. If she had a 12-pound bag of clay available, did she have enough clay to make both items?

Answers

Answer:

yes

Step-by-step explanation:

so first you would convert pounds into ounces (It's easier for me)

and there are 16 ounces in one pound so for 3 pounds you would have 48 ounces then add the 15 ounces to get 63 ounces and if she needs twice as much to make a vase she would need 126 ounces for a vase then you would add the other 63 to that to get a total of 189 ounces of clay in order to create the bowl and vase, and in order to find out how many ounces are in a 12 pound bag you would just multiply 12 by 16 to get 192 ounces. So yes she does have enough clay to make a bowl and a vase.

The length of a room is 9 metres. Its floor is tiled by using 96 square tiles of 0.75 m x 0.75 m each. What is the breadth of the room?

Answers

Answer:

The breadth of the room is 6 metres

Answer:

Step-by-step explanation:

Side of a tile= a  = 0.75 m

Area of one square tile = a²  = (0.75)² = 0.5625 m²

Area of 96 square tiles = 0.5625 * 96

Area of the room =  area of 96 square tiles

length * breadth = 0.5625 * 96

9 * breadth = 0.5625 * 96

     breadth = [tex]\frac{0.5625*96}{9}\\\\[/tex]

      breadth = 6 m

The confidence interval for the water consumption of a certain plant is 5 gallons to 13 gallons per year. The level of confidence is 95%. What is the average consumption and the margin of error?

Answers

Answer:

Average consumption ( mean )  =  9

MOE = 4

Step-by-step explanation:

We know that

CI   ( 5  ;  13 )

and   CI [ μ - MOE  ;  μ + MOE ]

From the above relations we get

μ - MOE = 5

μ + MOE = 13

Adding member to member these two equations we get

2*μ  =  18

μ = 9    and MOE = 13 - 9

MOE = 4

A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 40% of this population prefers the color red. If 14 buyers are randomly selected, what is the probability that exactly 2 buyers would prefer red

Answers

Answer:

The probability that exactly 2 buyers would prefer red car is 0.0317.

Step-by-step explanation:

Let the random variable X represent the number of buyers would prefer red car.

The probability of the random variable X is, p = 0.40.

A random sample of n = 14 buyers are selected.

The event of a buyer preferring a red car is independent of the other buyers.

The random variable X thus follows a Binomial distribution with parameters n = 14 and p = 0.40.

The probability mass function of X is:

[tex]P(X=x)={14\choose x}(0.40)^{x}(1-0.40)^{14-x};\ x=0,1,2,3...[/tex]

Compute the  probability that exactly 2 buyers would prefer red car as follows:

[tex]P(X=2)={14\choose 2}(0.40)^{2}(1-0.40)^{14-2}[/tex]

                [tex]=91\times 0.16\times 0.0021768\\=0.031694208\\\approx 0.0317[/tex]

Thus, the probability that exactly 2 buyers would prefer red car is 0.0317.

What is the probability of any particular pair being chosen?

Answers

The probability of a particular pair to be picked is 1/28, as there is only one way of choosing a particular pair, out of 28 pairs.

Sergei runs a bakery. He needs at least 175 kilograms of flour in total to complete the holiday orders he's received. He only has 34 kilograms of flour, so he needs to buy more. The flour he likes comes in bags that each contain 23 kilograms of flour. He wants to buy the smallest number of bags as possible and get the amount of flour he needs. Let F represent the number of bags of flour that Sergei buys.

Answers

Answer:

Step-by-step explanation:

34+23F=175

23F=175-34=141

F=141/23≈6.13

so he buys more 7 bags

Using proportions, it is found that Sergei needs to buy 7 bags.

-----------

This question is solved by proportions, using a rule of three.He has 34 kilograms of flour.He needs 175 kilograms.Thus, he needs to buy 175 - 34 = 141 kilograms.Each bag contains 23 kilograms. How many bags are needed for 141 kilograms?

1 bag - 23 kilograms

x bags - 141 kilograms

Applying cross multiplication:

[tex]23x = 141[/tex]

[tex]x = \frac{141}{23}[/tex]

[tex]x = 6.1[/tex]

Rounding up, he needs to buy 7 bags.

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The table below shows the distribution of students who speak some Ghanaian languages.
Language Number of students .
Nzema 5
Ga 20
Twi 30
Ewe 25
Fante 10
i. Draw a pie chart to illustrate the data.
ii. What percentage of the students speaks Ewe?
iii. What is the modal language?
iv. What fractions of the students speak either Ga or Fante

Answers

Answer:27.78% ; Twi; 1/3

Step-by-step explanation:

Given the data :

Language - - - - - - - Number of students

Nzema - - - - - - - - - - - 5

Ga - - - - - - - - - - - - - - - 20

Twi - - - - - - - - - - - - - - - 30

Ewe - - - - - - - - - - - - - - - 25

Fante - - - - - - - - - - - - - - 10

1.) To prepare pie chart:

Total number of students :

(5 + 20 + 30 + 25 + 10) = 90 students

Nzema: (5/90) × 360 = 20

Ga : (20/90) × 360 = 79.99 = 80

Twi : (30/90) × 360 = 119.99 = 120

Ewe : (25/90) × 360 = 79.99 = 100

Fante : (10/90) × 360 = 39.99 = 40

Total = 360

Pie chart is attached in the picture below

2)Percentage students that speak Ewe = (25/90) * 100 = 27.78%

Or (100/360) * 100 = 27.78%

3.) Modal language : This is the language spoken by majority of the students = Twi

4.) Fraction of student that speak either GA or Fante :

(GA or Fante) = (20 + 10) / 90 = 30/90 = 1/3

A moving van’s cargo area has a maximum volume of 480 cubic feet. Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet. If she wants to carry more than 3 times as many of the smaller boxes, what is the maximum number of larger boxes that she can fit in the van? A) 15 B) 16 C) 17 D) 18

Answers

Answer: C) 17

Step-by-step explanation:

Let x be the number of large boxes

As per given,

Number of small boxes= 3 × (number of large boxes)

i.e. Number of small boxes= 3x

Allie is transporting boxes of two sizes: 12 cubic feet and 5 cubic feet.

Total volume = 12  (number of large boxes) + 5(Number of small boxes)

= 12 x+ 5 (3x)

= 12x+15x

= 27x

A moving van’s cargo area has a maximum volume of 480 cubic feet.

[tex]\Rightarrow\ 27x \leq480[/tex]

Divide both sides by 27 , we get

[tex]x\leq17.78[/tex]

i.e. maximum value x can take = 17

So, the maximum number of larger boxes that she can fit in the van = 17.

Hence, the correct option is C) 17 .

Other Questions
Answer the following questions: 1. Define a compound. State three points of evidence to show that sodium chloride is a compound. 2. When Iron powder and Sulphur powder were mixed together and heated strongly, a substance A was formed. When did. Hydrochloric acid was added to substance A, the gas B was evolved. a) What is A and what type of substance is it? b) Name the gas B. State one characteristic property of gas B. c)Is the reaction of Iron and Sulphur powder a chemical change or a physical change. Answer the question according to the class 9th student. For much of the 1990s, the U.S. economy was experiencing long-run economic growth, low unemployment, and a stable inflation rate. Which of the following would give rise to these outcomes? A. an increase in aggregate demand and short-run aggregate supply B. a decrease in aggregate demand and short-run aggregate supply C. a decrease in aggregate demand and an increase in short-run aggregate supply D. an increase in aggregate demand and a decrease in short-run ag Given 5 colors to choose from, how many ways can we color the four unit squares of a $2\times 2$ board, given that two colorings are considered the same if one is a rotation of the other? (Note that we can use the same color for more than one square.) Two charges, +9 C and +16 C, are fixed 1 m apart, with the second one to the right. Find the magnitude and direction of the net force (in N) on a 7 nC charge when placed at the following locations.(a) halfway between the two(b) half a meter to the left of the +9 C charge(c) half a meter above the +16 C charge in a direction perpendicular to the line joining the two fixed charges (Assume this line is the x-axis with the +x-direction toward the right. Indicate the direction of the force in degrees counterclockwise from the +x-axis.) A 5cm x 11cm rectangle sits inside a circle with radius of 12 cm. What is the area of the shaded region? Round your final answer to the nearest hundredth. Which best describes the main difference between the National Woman Suffrage Association (NWSA) and theAmerican Woman Suffrage Association (AWSA)? Steve Madison needs $353,100 in 10 years.How much must he invest at the end of each year, at 9% interest, to meet his needs? What was the result of developed countries extracting resources from their colonies?A. The colonizers used these resources to help the colonies buildtheir infrastructure.B. Developed countries lost jobs to the colonies because labor wascheaper there.C. Trade wars began among the colonies to attract investment fromdeveloped countriesD. There was a one-way flow of wealth favoring the colonizers. The likelihood of a risk event occurring during the implementation of a project goes up as the project progresses. The cost impact of these risk events also goes up as the project progresses.a. Trueb. False Which of the following is a factor that influences the business cycle?interest rates on loanstax rebatespolitical electionsimport fees Find the value of x in the triangle shown below. Flip's Pizzeria Inc. has the following financial items for the current year: Advertising Expenses $35,000 Cost of Goods Sold $400,000 Other Operating Expenses $300,000 Sales $2,735,000 Cost of Equipment purchased during the year (10 year estimate useful life, 0 salvage value) $325,000 Calculate Flip's taxable liability for the current year. Impact of 2020 lockdown on world's business economy? A construction crew is lengthening a road. The road started with a length of 56 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 33 days. Monicas school band held a car wash to raise money for a trip to a parade in New York City. After washing 125 cars, they made $775 from a combination of $5.00 quick washes and $8.00 premium washes. This system of equations models the situation. x + y =125 5x + 8y = 775 How many molecules of ATP are formed during the complete catabolism of a saturated fatty acid with the chemical formula CH3(CH2)20CO2H? Ryan is working on the layout of his web page. He needs to figure out where the title, links, text, and images should go. Which of the following can help him? Color selection Color theory Proofreading Storyboarding Which of these novels is considered an important precursor to science fiction? When launching a new venture, finding a way to begin doing business must ______________ generate cash flow, build credibility, attract good employees, and overcome the liability of newness. Read the excerpt from "Everyday Survival," in which the author relates a story told by a retired LosAngeles police officer.Denial, which psychologists call the "incredulity response." is almost universal, even amongindividuals with excellent training. David Klinger, a retired Los Angeles police officer, describes in hisbook into the Kill Zone that while moonlighting as a bank guard he saw "three masked figures withassault rifles run through the foyer of the bank." His first thought was that the local SWAT team waspracticing. His second was that they were dressed up for Halloween.How does the author use this story as a rhetorical strategy to support his perspective?Select all that apply.Everyday Survivalto describe a tragic situation that will appeal to his readers' emotionsto demonstrate his own expertise in having done extensive research into the conceptof denialto show his readers that denial is such a common human response that it even occursin experienced emergency personnelto explain why police officers always respond to emergency situations as they should