I just took a test and my brain is fried please help thanks

I Just Took A Test And My Brain Is Fried Please Help Thanks

Answers

Answer 1

[tex]tan(\theta )=\sqrt{3}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\implies tan(\theta )=\cfrac{\sqrt{3}}{1}\cdot \cfrac{2}{2} \implies tan(\theta )=\cfrac{\sqrt{3}}{2}\cdot \cfrac{2}{1} \\\\\\ tan(\theta )=\cfrac{~~\stackrel{sin(\theta )}{\frac{\sqrt{3}}{2}} ~~}{\underset{cos(\theta )}{\frac{1}{2}}}\implies \theta =tan^{-1}\left( \cfrac{~~\frac{\sqrt{3}}{2} ~~}{\frac{1}{2}} \right)\implies \theta = \begin{cases} \stackrel{I~Quadrant}{60^o}\\\\ \stackrel{III~Quadrant}{240^o} \end{cases}[/tex]

Check the picture below.

I Just Took A Test And My Brain Is Fried Please Help Thanks

Related Questions

Determine whether or not the equation below is balanced. If it isn’t balanced, write the balanced form. Also, identify the reactant(s) and product(s) in this equation. Finally, label this as one of the five types of reactions: combination, decomposition, substitution, double replacement, or reversible.

Zn+ HCl → ZnCl2 + H2

Answers

Answer:

1. The equation isn't balanced because there aren't equal numbers of hydrogen or chlorine atoms on both sides of the equation. To correct this, a coefficient of 2 must be placed in front of HCl on the left-hand side of the equation.

Zn+2HCl→ZnCl2+H2

Zn and 2HCl are the reactants; ZnCl2 and H2 are the products. This is a substitution reaction because a free element (Zn) replaces another element (H) in a compound.

2. This is a balanced equation because the same types of atoms and the same numbers of each atom are present on both sides of the equation. 8 S atoms are found on both sides of the equation, and 48 F atoms are found on both sides of the equation. S8 and 24F2 are the reactants; 8SF6 is the product. This is a combination reaction because two substances (S8 and 24F2) undergo a chemical union to form a more complex substance (8SF6).

S8+24F2→8SF6

3. In ferric oxide (Fe3O4), there are 3 atoms of iron (Fe) and 4 atoms of oxygen (O). From the Periodic Table of Elements, we know that the atomic mass of iron is 55.8457 and the atomic mass of oxygen is 15.9994.

Fe3 = 55.8457 × 3 = 167.5371

O4 = 15.9994 × 4 = 63.9976

167.5371 + 63.9976 = 231.5347 (231.535 rounded)

Therefore, the molecular mass of ferric oxide is 231.535.

4. The percentage composition of chlorine in CaCl2 is derived as follows:

The molecular mass of the entire compound is:

Ca = 40.078 × 1 = 40.078

Cl2 = 35.4527 × 2 = 70.9054

40.078 + 70.9054 = 110.9834 (110.983 rounded)

The atomic mass of each element (or its multiple) is divided by the molecular mass of the compound:

Ca = 40.078 ÷ 110.983 = 0.361

Cl2 = 70.9054 ÷ 110.983 = 0.639

Multiplying each by 100 will turn these into percents. Therefore, the percentage composition of chlorine is 63.9%.

5. i. a, c, f, h

ii. e

iii. b, d, g, i

iv. i

Step-by-step explanation:

PENN FOSTER

The given chemical equation represents a type of reaction known as a single replacement (or displacement) reaction. In this reaction, zinc (Zn) displaces hydrogen (H) from hydrochloric acid (HCl) to form zinc chloride ([tex]ZnCl_2[/tex]) and hydrogen gas ([tex]H_2[/tex]).

The given chemical equation is:

[tex]Zn + HCl \rightarrow ZnCl_2 + H_2[/tex]

To determine if the equation is balanced, we need to check if the number of atoms of each element is the same on both sides of the equation.

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 1

Chlorine (Cl) atoms: 1

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from[tex]ZnCl_2 + H_2[/tex])

Chlorine (Cl) atoms: 2 (from [tex]ZnCl_2[/tex])

The number of hydrogen (H) and chlorine (Cl) atoms is not balanced between the reactants and products. To balance the equation, we need to have the same number of atoms on both sides.

Balanced equation:

[tex]Zn + 2HCl → ZnCl_2 + H_2[/tex]

Now, the equation is balanced with the following number of atoms on both sides:

On the left side (reactant side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2

Chlorine (Cl) atoms: 2 (2 from HCl)

On the right side (product side):

Zinc (Zn) atoms: 1

Hydrogen (H) atoms: 2 (from H2)

Chlorine (Cl) atoms: 2 (from ZnCl2)

Identification of reactants and products:

Reactants: Zn (zinc) and HCl (hydrochloric acid)

Products: [tex]ZnCl_2[/tex] (zinc chloride) and [tex]H_2[/tex] (hydrogen gas)

To know more about equation:

https://brainly.com/question/17216476

#SPJ2

more questions!!! he

Answers

Answer:

[tex] - 3 \frac{1}{6} \div ( - 1 \frac{4}{9} ) \\ \\ - \frac{19}{6} \div ( - \frac{13}{9} ) \\ \\ - \frac{19}{6} \times ( - \frac{9}{13} ) \\ \\ - \frac{19}{2} \times ( - \frac{3}{13} ) \\ \\ = \frac{57}{26} = 2 \frac{5}{26} = 2.1923[/tex]

Answer:

2 5/26

Step-by-step explanation:

1) convert 3 1/6 to improper fraction. Use this rule: a b/c = ac+b/c

- 3 * 6 + 1/ 6 ÷ -1 4/9

2) Simplify 3*6 to 18.

-18+1/6 ÷ -1 4/9

3) Simplify 18 + 1 to 19.

-19/6 ÷ -1 4/9

4) convert 1 4/9 to improper fraction. Use this rule: a b/c = ac+b/c

-19/6 ÷ -1*9+4/4

5) Simplify 1 * 9 to 9

-19/6 ÷ -9+4/9

6) Simplify 9 + 4 to 13.

-19/6 ÷ -13/9

7) Use this rule: a ÷ b/c = a × c/b

-19/6 × 9/-13

8) Use this rule: a × c/d = ac/bd

- 19*9/6*-13

9) Simplify 19 * 9to 171

-171/6*-13

10) Simplify 6 * -13 to -78

-171/-78

11) Move the negative sign to the left.

-(-171/78)

12) simplify 171/78 to 57/26

-(-57/26)

13) Remove parentheses.

57/26

14)  Convert to mixed fraction.

2 5/26

Sam wants to create a linear function and an exponential function, both of which have a y-intercept
of (0,8) and pass through the point (9,512). Help Sam create his functions.

Answers

Step-by-step explanation:

Exponential function is

[tex]y = a \times {b}^{x} [/tex]

where a is the y intercept, or the initial value.

b is the constant rate.

Since a is the y intercept, this means a is 8. So we have

[tex]y = 8 \times {b}^{x} [/tex]

Now, plug in 9 for x. 512 for y to find b.

[tex]512 = 8 \times {b}^{9} [/tex]

[tex]64 = {b}^{9} [/tex]

[tex] \sqrt[9]{64} = b[/tex]

[tex]64 {}^{ \frac{1}{9} } = b[/tex]

[tex]4 {}^{ \frac{1}{3} } = b[/tex]

[tex] \sqrt[3]{4} = b[/tex]

So the equation is

[tex]y = 8( \sqrt[3]{4} ) {}^{x} [/tex]

Jonah's lunch cost $27.50, he paid $1.65 sales tax. What is the percent of sales tax?

Answers

Answer:

6%

Step-by-step explanation:

To get sales tax, you multiply the percentage of sell tax to the total price. In this case, we were looking for the percent of sell tax so we needed to divide the total amount into the amount he payed in sells tax. You will get the decimal value so you will have to multiply it by 100 to get the percent.

What is the measure of angle b?

Answers

Answer:

b=133 and c=47

Step-by-step explanation:

b+47=180

b=180-47=133

b=133

and

c=b+133=180

c=180-133=47

c=47

What is the domain of the function in this table?
х
2
3
4
5
у
5
8
11
14

Answers

5 lol it’s simple just use the two numbers in the middle or the one number in the middle

find the value of a from the following data whose mean is 23 29,33, 27, a, 19, 17, 10 ​

Answers

Answer:

a = 26

Step-by-step explanation:

29 + 33 + 27 + a + 19 + 17 + 10 / 7 = 23

135 + a / 7 = 23

135 + a = 161

a = 26

I’ll give Brainly but can somebody help me with this?

Answers

Answer:

give me 2 minutes and I will

Baba Clothing store is a having a 5% off sale on all of its clothing. Which expression represents the discounted price if p is the original price?

Answers

Answer:

The total of the prices of all of the baby shirts and sweaters that the store sold during the sale was $420.00. It's possible that 12 sweaters and 8 shirts are sold a bargen

Step-by-step explanation:

An office supply store in Newport purchased a printer at a cost of $175 and marked it up 45%. Later on, Oliver bought the printer. If the sales tax in Newport is 12%, how much did he pay in all?
please help asap would appreciate it ty

Answers

Answer: $284.20

Step-by-step explanation:

In the picture

Mayrin has rectangular rug with an area of 36 square feet. The area is represented by the equation f(x)= x2 + 5x – 36 and this rug is 5 feet longer than it is wide. What are the dimensions of the rug?

Answers

Answer:

B)  width = 4 ft

    length = 9 ft

Step-by-step explanation:

Area = 36 ft²

Let width = x

⇒ length = x + 5

Area of a rectangle = width × length

⇒ 36 = x(x + 5)

⇒ x² + 5x - 36 = 0

⇒ x² + 9x - 4x - 36 = 0

⇒ (x² + 9x) + (-4x - 36) = 0

⇒ x(x + 9) - 4(x + 9) = 0

⇒ (x + 9)(x - 4) = 0

⇒ x = -9, x = 4

As distance is positive, x = 4 only

Therefore,

width = x = 4 ft

length = x + 5 = 4 + 5 = 9 ft

The exponential function f is given by f(x) = 3x. by what factor does f increase when the exponent x increases by 2? explain how you know. a 3 b 6 c 9 d 12

Answers

The exponential function f(x) = 3^x, when x has a value of 2 increases by 9.

What is an exponential function?

An exponential function is a function that is in the form: m = ab^x

Where:

a = initial value b = rate of increase x = number of years

F(x) = 3^x

3^2 = 9

To learn more about exponential functions, please check: https://brainly.com/question/26331578

is it adjacent or vertical


find the value of X

Answers

Answer:

Adjacent, x = 60°

Step-by-step explanation:

Adjacent angles are pairs of angles next to each other. Vertical angles make an x shape, are across from each other, and have the same measure. These are adjacent angles.

This is a 90° angles, which is signified by the little red box. To solve for x, make an equation by adding the two angles together and set them equal to 90.

x - 30 + x = 90

2x - 30 = 90

2x - 30 + 30 = 90 + 30

2x = 120

2x/2 = 120/2

x = 60°

Here, the angles and (x - 30)° both are complementary angles, so they will add upto 90°, thus we can obtain a equation as ;

[tex]{:\implies \quad \sf x^{\circ}+(x-30)^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}-30^{\circ}=90^{\circ}}[/tex]

[tex]{:\implies \quad \sf 2x^{\circ}=120^{\circ}}[/tex]

[tex]{:\implies \quad \sf x^{\circ}=\dfrac{120^{\circ}}{2}=\bf \boxed{60^{\circ}}}[/tex]

Hence, the required value of x is 60

surface area of prisms: find it and. fix it​

Answers

Answer:

Step-by-step explanation:

i can't solve without seeing the prism

2/5n+ 3/6+ 1/8n
what does it equal

Answers

Answer:

[tex]\frac{21}{40}n[/tex] + [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The important part to understand about this problem is that you need to find a common denominator. You can ONLY add two fractions if they have the same denominator. A way to change the denominator of a fraction is to multiply the numerator and denominator of the fraction by the same number.

So, You want to make the 2/5n and 1/8n to have the same denominator so you can add them. An easy rule of thumb is multiply the one of the fraction by the other fraction's denominator, so in this problem:

[tex]\frac{2 * 8}{5*8} n[/tex] and [tex]\frac{1*5}{8*5}n[/tex]

this comes out as

16/40n and 5/40n

NOW, they have the same denominator and you can add the numerators together to make it one happy fraction

[tex]\frac{16}{40} + \frac{5}{40} = \frac{16+5}{40} = \frac{21}{40}[/tex]

Then, for the 3/6, you can simplify this fraction into:

1/2

This is because if you divide the top and bottom of the fraction by 3 like so:

[tex]\frac{3/3}{6/3}[/tex] (Always make sure you do the same for the top as you do to the bottom)

This comes out as

[tex]\frac{1}{2}[/tex]

Then for the full equation:

[tex]\frac{21}{40} n + \frac{1}{2}[/tex]

The Venn diagram shows people go to work

Answers

Answer:

If B stands alone in the option,B is the answer.But if it doesn't,choose none or neither

Step-by-step explanation:

Mutually exclusive events are events that do not occur at the same time.On the venn diagram,mutually exclusive events do not overlap. Hence, B is a mutually exclusive event because W and T overlap. Since B doesn't stand alone in any option,the answer is none

Andrea thought that x = 15 would be a good guess to solve 6x + 19 = 150. Should her second guess be higher or lower? Why?

Answers

Answer:

higher

Step-by-step explanation:

should be higher since 6 x 15 is 90, which is far away from 150

Answer:

should be higher

Step-by-step explanation:

because 6×15=90 and 90+19 is lower than 150

Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =

Answers

The missing value is 12 in a system of equations with infinitely many solutions conditions.

It is given that in the system of equations there are two equations given:

[tex]\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?[/tex]

It is required to find the missing value in the second equation.

What is a linear equation?

It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.

We have equations:

[tex]\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)[/tex]

Let's suppose the missing value is 'Z'

We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.

From equation (1)

[tex]\rm y = -2x+4 \\\\\rm 2x+y=4[/tex](multiply both the sides by 3)

[tex]\rm 6x+3y=12[/tex] ...(3)

By comparing the equation (2) and (3), we get

M = 12

Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.

Learn more about the linear equation.

brainly.com/question/11897796

solve pls brainliest

Answers

Answer:

[tex](\frac{2}{3})^{4}[/tex] written in simplest form is [tex]\frac{16}{81}[/tex]

Step-by-step explanation:

When taking a fraction to a certain power, you can rewrite the expression as the numerator taken to that power over the denominator to that power. In this case, the fraction is [tex]\frac{2}{3}[/tex] and the exponent is 4, so you can write the expression as [tex]\frac{2^{4}}{3^{4}}[/tex]. [tex]2^{4}[/tex] is 16, and [tex]3^{4}[/tex] is 81, so the fraction is [tex]\frac{16}{81}[/tex].

Bananas cost $0.48 per pound. If you spent $1.84, how many pounds of bananas did you
purchase?

Answers

Answer:

3 pounds of bananas

Step-by-step explanation:

1.84 ÷ 0.48 = 3.8333etc

since you can't buy 4 pounds with the money you have its 3 pounds of bananas

Help me In this question it’s urgent

Answers

Answer:

CD = 13.75

Step-by-step explanation:

Focus on only half of the rectangle as a triangle

We'll use pythagorean theorem to find the unknown side

[tex]10^{2} +CD^{2}=17^{2}\\CD^{2} = (17^{2} - 10^{2})\\CD^{2}=\sqrt{189} \\CD = 13.75[/tex]

What is the area of a circle with a radius of 10.2 feet? 10.2 ​

Answers

Answer:

326.85 ft^2

Explanation:

The area of a circle is A=πr2
If we substitute the value of 10.2 feet into this formula we get 326.85 ft^2

You are designing a large rectangular fish tank for your tropical fish. The length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Part A Find the volume of the fish tank in cubic inches. The volume is cubic inches. Part B Your math teacher tells you that your fish tank will have a capacity of about 976 cups. You have a total of 30 tropical fish. For them to flourish in a fish tank, there needs to be an average of 2 gallons of water for each fish. Convert 976 cups to gallons. 976 cups equals gallons.

Answers

Unit conversion is a way of converting some common units into another without changing their real value. 30 fishes can flourish in a fish tank with a capacity of 976 cups.

What is Units conversion?

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that the length will be 1 yard 3 inches, the width will be 1. 5 feet, and the height will be 20 inches. Therefore, Converting all the dimensions to inches.

Length = 1 yard 3 inches = 36 inches + 3 inches = 39 inches

Width = 1.5 feet = 1.5×12 = 18 inches

Height = 20 inches

A.) The volume of the fish tank can be written as,

[tex]\rm \text{Volume of the Fish Tank} = Length \times Width \times Height[/tex]

                                      [tex]= 39 \times 18 \times 20\\\\= 14,040\rm\ in^3[/tex]

Thus, the volume of the fish tank is 14,040 in³.

B.) As we know that a cup is equal to 0.0625 gallons. Therefore, the capacity of the fish tank in gallons can be written as,

[tex]\rm 1\ cup= 0.0625\ gallons\\\\976\ cup= 976 \times 0.0625\ gallons\\\\976\ cup= 61\ gallons[/tex]

Now, for a total of 30 fish, the water that will be needed is one fish needs 2 gallons of water is,

[tex]\rm Water\ Needed = 30 \times 2 = 60\ gallons[/tex]

As the water needed for the 30 fishes to flourish is 60 gallons while the tank has a capacity of 61 gallons.

Hence, 30 fishes can flourish in a fish tank with a capacity of 976 cups.

Learn more about Units conversion:

https://brainly.com/question/4736731

Help!!! 8. Determine whether each pair of functions f and g are inverses. Explain your reasoning.

Answers

Answer:

I would say that a is NOT an inverse, however b is.

Step-by-step explanation:

If you look at the two tables for a, you can tell that every pair has swapped places (as they should) except 0 and 9. In which in the second table, what should be the 9 in the x row, is just another 0 in its place.

While if you look at the two tables for b, every single pair has been swapped like it should, meaning the second table is the inverse of the first table.

Hope this helps you btw. I'm sorry if it doesn't though.

PLEASE HELP QUICK !!!!

For each of the following functions, list the excluded values from the
domain:
f (x) =
g(x) =
2-3
22 9
h(x) = V16 – 22

Answers

Answer:

fx is 4, gx is 3, hx is anything greater than, not equal to, 4.

Hope this helps!

Find x. Perimeter.

What is the value of x?

What is the perimeter of this triangle?

Answers

Step-by-step explanation:

the distance of a vertex on the 2 outgoing sides to the touching points with the inscribed circle is the same for both sides.

and that applies to all 3 vertexes.

so, we know for the top left vertex the distance to both touching points is 4.

that means the distance to the touching points from the bottom left vertex is 7-4 = 3.

and that means that the distance to the touching points from the bottom right vertex is 16-3 = 13.

so, x = 13

it is the distance to one of the touching points for the bottom right vertex.

and the perimeter of the triangle is therefore

7 + 16 + (13 + 4) = 40

Math tangent of a circle Also sorry my sister got a hold of it
ASAP!!!

Answers

Imagine we drew a line from the centre (2,0) to the point (0,4).

Essentially the line we drew from the centre to that point on the circle is perpendicular to the tangent line slope-wise.

The slope of that line from the centre to the point is -2 based on the slope's equation or formula.

  slope = [tex]\frac{y2-y1}{x2-x1}=\frac{4-0}{0-2} =-2[/tex]

Therefore the tangent equation's slope is 1/2 since any perpendicular line's slope is the negative reciprocal of the original line's slope.

By using the point-slope form, we must have the point on the tangent plane (0,4) and the slope we found which is 1/2.

 [tex]y - 4 = \frac{1}{2}(x-0)\\ y= \frac{1}{2}x + 4[/tex]

Hope that helps!

I need help, please? I am just really confused about this.

Answers

Answer:

blank space 1: 120

blank space 2: 85

Step-by-step explanation:

you subtract 35 from it


What is the solution of X+8/5x-1
-> O?
5
X5-8 or
x>
O x<-8 or x>5
0x
X
col-
0 -85x<5
0 -8 < x < 1 / 3

Answers

x           - inf            - 8              1/5              + inf

x+8                   -     0       +                +

5x-1                  -               -          0     +

result               +      0      -          ║     +

x+8/(5x-1) > 0 if x € ] -inf ; - 8[ U ] 1/5 ; + inf [

=> x < - 8 and x > 1/5

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

We have,

To solve the inequality (x + 8)/(5x - 1) ≤ 0,

We can use the following steps:

Step 1:

Find the critical values of x where the expression (x + 8)/(5x - 1) is equal to zero or undefined.

The expression is undefined when the denominator is equal to zero:

5x - 1 = 0

x = 1/5

The expression is equal to zero when the numerator is equal to zero:

x + 8 = 0

x = -8

Therefore,

The critical values are x = -8 and x = 1/5.

Step 2:

Create a sign chart to determine the sign of the expression (x + 8)/(5x - 1) for each interval between the critical values.

On the interval (-∞, -8), the expression (x + 8)/(5x - 1) is negative if x + 8 is negative, which means x < -8.

On the interval (-8, 1/5), the expression (x + 8)/(5x - 1) is positive if both the numerator and denominator are negative, or if both are positive.

The numerator is negative on this interval, so the expression is positive if the denominator is negative, which means x < 1/5.

On the interval (1/5, ∞), the expression (x + 8)/(5x - 1) is negative if the numerator is negative and the denominator is positive, which means x > 1/5.

Step 3:

Write the solution in interval notation.

Therefore,

The solution to the inequality (x + 8)/(5x - 1) ≤ 0 is:

x ∈ (-∞, -8] ∪ [1/5, ∞)

Learn more about solutions to inequalities here:

https://brainly.com/question/22010462

#SPJ7

Find X using the diagram.

Answers

Answer:

58°

Step-by-step explanation:

Refer to the letters in my diagram.

Angle AOB measures 64°. Angle ACB, since itis a circle angle o nthe same chord AB, measure half of it, or 32°.

Furthermore, angle ABC is a right angle since triangle ABC has side AC on a diameter and B on the circle.

Now, since the sum of all internal angles in a triangle is 180°, we have , [tex]x+32\°+90\°=180\°\rightarrow x = 58°[/tex]

Other Questions
Pls help i am extremly stressed with this question The Roman republic ended when which leader came to power? true or false condensation occurs ehen water turns from a liquid to a gas? The diameter of a circle is 8 miles. What is the angle measure of an arc 3 miles long? Identify the equations that show ionization. check all that apply. upper n a upper c l (s) right arrow upper n a superscript plus (a q) plus upper c l superscript minus (a q). upper h upper c l (g) plus upper h subscript 2 upper o (l) right arrow upper c subscript 3 upper o superscript plus (a q) plus upper c l superscript minus (a q). upper o subscript 2 (g) right arrow upper o subscript 2 (a q). upper c upper o subscript 2 (g) plus 2 upper h subscript 2 upper o (l) right arrow upper h upper c upper o subscript 3 superscript minus (a q) plus upper h subscript 3 upper o superscript plus (a q). upper c a upper c l subscript 2 (s) right arrow upper c a superscript 2 plus (a q) plus 2 upper c l superscript minus (a q). Writing how to describe someone slowly start laughing You will never experience a conflict so long as you only associate with other people who hold your samebeliefs and principles.please select the best answer from the choices provided.true or false?personal wellness classf What is the solution to the linear equation? 12 3b 1 = 5 b b = 2 b = 1.5 b = 1.5 b = 2 According to the Knot, 22% of couples meet online. Assume the sampling distribution of p follows a normal distribution and answer the following questions.a. Suppose a random sample of 150 couples is asked, "Did you meet online>" Describe the sampling distribution of p, the proportion of couples that met online.b. What is the probability that in a random sample of 150 couples more than 25% met online?c. What is the probability that in a random sample of 150 couples between 15% and 20% met online? I believe its C but Im not sure.Which selection from the passage is the least relevant piece of evidence?Space exploration is not a waste of money. Rocket companies andastronaut training programs give high-paying jobs to skilledprofessionals. The technologies they create helps people on earthdaily. The solar system formed from space dust, after all.A. Space exploration is not a waste of money.B. Rocket companies and astronaut training programs give high-paying jobs to skilled professionals.C. The solar system formed from space dust, after all.D. The technologies they create benefit people on earth daily. 7) What economic effect did World War I have on Plains Wheat farmers? Explain.8) List three pieces of evidence that support the idea that the Dust Bowl was "the worst hard time".9) Did most people leave the Southern Plains during the Dust Bowl years?**FOR TX HISTORY** The length of the hypotenuse in a 45-45-90 triangle is 7sqrt10 units. One of the legs is 7sqrt5 units. What is the length of the otherleg?O 7sqrt5unitsO 14sqrt5unitsO 35 units0 70 units A metal spoon was placed in a dish of ice cream and became cool. Which correctly describes the heat transfer process that resulted in the cooling of the spoon?. 17.1 angles of rotation and radian measure answers Find the missing numerator that will make the rational expressions equivalent.82x+7=?6(2x+7) Sasha's interested in working in the emergency care setting. Which of thefollowing characteristics should she have?A. Specializes in only one main area to contribute to a team, likebone injuries or traumaB. Willingness to care for the patient over an extended period of timeC. Comfortable sitting for a long period of timeD. Ability to make quick decisions under pressureSUOMI Find the area of the figure. sense the pic was blurry last time Which politician was a "War Hawk", and what did this mean?Daniel Webster was a War Hawk, a member of a group of politicians who wanted to go to war with Great Britain during the early 19th century.Daniel Webster was a War Hawk, a member of a group of politicians who wanted to go to war with Mexico to acquire land.John Calhoun was a War Hawk, a member of a group of politicians who wanted to go to war with Great Britain during the early 19th century.John Calhoun was a War Hawk, a member of a group of politicians who wanted to go to war with Mexico to acquire land. how does urbanization affect your life and the area in which you live