Jenny drew a figure in art class. Does it have rotational symmetry? If yes, what is the angle of rotation.

Jenny Drew A Figure In Art Class. Does It Have Rotational Symmetry? If Yes, What Is The Angle Of Rotation.

Answers

Answer 1

Answer:

60°

Step-by-step explanation:

Jenny drew a figure in art school and the figure is shown in the attached diagram.  

The diagram is a regular hexagon and it has rotational symmetry.  

Two of its sides is placed parallel to the x-axis.

Therefore, by rotating 60° the adjacent sides will become parallel to the x-axis and the figure remains the same and symmetric with respect to the coordinate axes. (Answer)

Answer 2

Answer:

60°

Step-by-step explanation:

The fiven figure is a hexagon, which is a regular polygon with six equal sides.

Now, the symmetry of a hexagon is based on a 60° rotation, because each symmetrical portion of the figure enclosed a 60° angle.

Therefore, the right answer is 60°.


Related Questions

please help on this tysm ❤❤❤In the box, type in the number that will correctly complete the sentence.

Jane has a debt of $63. She owes equal amounts to seven different people. Her debt to each person can be expressed as Answer
dollars.

Answers

Answer:

9

Step-by-step explanation:

the answer is 9 because 7 goes into 63 evenly 9 times

Answer: $9

Step-by-step explanation:

$63 for 7 people

63 ÷ 7 = 9

So that means that one person gets $9

3/10 of an inch is equal to 7/8 of a mile. convert to unit rate and find how many inches are in 1 mile

Answers

Answer:

12/35 inches are in 1 mile.

Step-by-step explanation:

(3/10)/(7/8)=(3/10)(8/7)=24/70=12/35

1 mile=8/8

(8/8)(12/35)=1(12/35)=12/35

5
Which of the following measures could be 432
square inches?
A the width of a car
B the area of a doormat
Cthe volume of a suitcase
D the perimeter of a classroom

Answers

Answer:

B

Step-by-step explanation:

When we see "square inches" in a statement (or squared centimeters, meters, feet, etc) this refers to an area measure. So we need to find which of the options are areas.

A is not, as it is width, is a longitude measure. I could never be in square inches.

C is volume and it measure should be in cubic inches. So, not.

D is perimeter and is the sum if the lengths of different sides of a figure, so is also in inches, not square inches.

Finally, B is the area,  so is our only chance. B in correct.

show the decimal -3.4 on a number line. use trick marks to show the exact location between the two appropriate whole numbers.

Answers

Answer:

Step-by-step explanation:

Just draw a number line and label three numbers, -4, -3.4 & -3. Mark -3.4 in the number line.

The sum of two numbers is 17 and their difference is 3 what are the two numbers

Answers

Answer:

10 and 7

Step-by-step explanation:

10 + 7 = 17

10 - 7 = 3

Answer:

your answer is 10 and 7.

Step-by-step explanation:

because if you add 10 and 7 you get 17. them if you subtract them the answer is 3.

ALOT OF POINTS MUST EXPLAIN THE ANSWER IN WORDS ​

Answers

What? Question? Where the question

9. Find the distance between the point P(-12,-2)
and Q(3,6).
Hint: a sketch is useful.​

Answers

Answer:

Distance between points [tex]P(-12,-2)[/tex] and [tex]Q(3,6)[/tex] is 17 units

Step-by-step explanation:

Given points:

[tex]P(-12,-2)[/tex]

[tex]Q(3,6)[/tex]

To determine the distance between points P and Q.

Steps to be carried out:

1) Plot the points P and Q on graph.

2) Construct a line from P towards right horizontally and a line from Q downwards vertically such that they meet at point [tex]O(3,-2)[/tex]

3) Join PQ thus forming a right triangle POQ.

4) We can find the distance of sides OP and OQ by counting the units between the points.

OP=[tex]|-12-3|=|-15|=15\ units[/tex]

OQ=[tex]|6-(-2)|=|6+2|=8\ units[/tex]

4)Now, we can apply Pythagorean theorem for triangle POQ.

[tex]PQ^2=OP^2+OQ^2[/tex]   [ [tex]Hypotenuse^2=Leg1^2+Leg 2^2[/tex]]

[tex]PQ^2=15^2+8^2[/tex]

[tex]PQ^2=225+64[/tex]

[tex]PQ^2=289[/tex]

Taking square root both sides:

[tex]\sqrt{PQ^2}=\sqrt{289}[/tex]

[tex]PQ=17\ units[/tex] [We take only the positive value as distance is always positive.

∴ Distance between points [tex]P(-12,-2)[/tex] and [tex]Q(3,6)[/tex] is 17 units

solve for x
x- 2x (12 - 1/2) =2 (4-2x) +20
A.-14/9
B.-9/14
C.14/9
D.9/14​

Answers

Answer:

A

Step-by-step explanation:

-22x=-4x+28

-18x=28

x=-28/18=-14/9

12k + 5k − 11m + 13m

Answers

Final answer:

To simplify the expression 12k + 5k - 11m + 13m, we can combine like terms by adding the coefficients of the like terms. The simplified expression is 17k + 2m.

Explanation:

The expression 12k + 5k - 11m + 13m can be simplified by combining like terms. Like terms have the same variables raised to the same powers. In this expression, the terms 12k and 5k are like terms because they both have the variable k. Similarly, the terms -11m and 13m are like terms because they both have the variable m.

To simplify, we can add the coefficients of the like terms:

12k + 5k - 11m + 13m = (12 + 5)k + (-11 + 13)m


Therefore, the simplified expression is 17k + 2m.

Factoring a Linear Binomial
Please include steps:

28 + 8v

Answers

Answer:

4(7 + 2v).

Step-by-step explanation:

The greatest common factor of 28 and 8v is 4 so we take 4 out:

28 + 8v

= 4(7 + 2v).

Super easy word problem please help with question :(

Answers

Answer:

1. The required slope m, for the context is[tex]m = 1.08[/tex]

2. The y-intercept in the context is [tex]a = y = 1052[/tex]

3. The graph is on Desmos.

Step-by-step explanation:

Given:

[tex]a = 1.08\times t + 1052[/tex]

Where,

a is the speed of sound wave.

t is the air temperature.

This is a linear model type equation.

Can be represented in the slope intercept form  which is equal to

[tex]y = mx + c[/tex]

Where,

m = Slope of the line.

c = y-intercept.

Now if we compare the given model by slope intercept formula we get

[tex]m = 1.08\\\\c = 1052[/tex]

So ,the slope in the context of the problem is [tex]m = 1.08[/tex].

and the y intercept in the context of the problem [tex]a = c = y = 1052[/tex]

For Sketching the graph we require two point

put t = 0

∴ a = 1052

Let A (1052, 0) be one point.

put a = 0

∴ t = -974.07

Let B (0, -974.07) another point.

So, the x intercept of the linear model is [tex]t = x = -974.07[/tex]

Here in the graph

X axis represent temperature in degree, Fahrenheit.(t)

Y axis represent Speed of sound wave in feet per second.(a)

Scale on both axes:

1 cm = 100 feet per second on y-axis

1 cm = 100 degree Fahrenheit on x-axis

Rachel can finish the job in 5 hours, while Carl can finish the same job in 8 hours. How long will it take them to finish the job together? It is not 3.333 hours

Answers

They both will finish the work in 3.07 hours

Step-by-step explanation:

Time taken by Rachel = 5 hours

Work done by Rachel in one hour = 1/5

Time taken by Carl = 8 hours

Work done by Carl in one hour = 1/8

Let x hours be the time taken by both to do work

Then 1/x will be the work done by both in one hour

So,

[tex]\frac{1}{5} + \frac{1}{8} = \frac{1}{x}[/tex]

Taking LCM

[tex]\frac{8+5}{40} = \frac{1}{x}\\\frac{13}{40} = \frac{1}{x}\\13x = 40\\x = \frac{40}{13}\\x = 3.07\ hours[/tex]

They both will finish the work in 3.07 hours

Keywords: Linear Equation

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Answer:

12 hrs

Step-by-step explanation:

X/30+x/48=1

common denominator

x/1440+x/1440

2x/1440=1

2x=1440

x=720

when you convert to hrs  you get 12

Question 2 of 20 :
Select the best answer for the question.
2. Simplify (3a4 - 2a2 + 5a - 10) - (2a4 +
4a2 + 5a - 2).
O A. a4 – 6a² – 8
O B. a4 + 4a? + 10a - 12
O C. 5a4 + 4a3 + 3a? + 10a - 12
O D. a4 + 2a? + 10a - 12

Answers

Answer:

A

Step-by-step explanation:

(3a^4-2a^2+5a-10)-(2a^4+4a^2+5a-2)

a^4-6a^2-8

A bottle holds 8.2 ounces of liquid soap. Jesse used 0.2 of the soap in the bottle to clean the kitchen floor. How many ounces of soap did she use ?

Answers

Answer:

1.64 oz

Step-by-step explanation:

0.2 of the soap is 0.2 of 8.2 ounces which is

0.2 * 8.2 ounces

0.2 * 8.2 oz = 1.64 oz

She used 1.64 oz

0.2 is equal to 20% you can figure that out by multiplying 8.2 x20 and then diving that by 100

8.2x20=164

164/100=1.64

50 POINTS IF YOU ANSWER THIS QUESITON CORRECTLY. AND YOU CAN GET BRAINLIST IF YOU ANSWER QUESTION WITH EXPLANATION. :] 3. You purchase a car using a $25,000 loan with a 5% simple interest rate. (a) Suppose you pay the loan off after 4 years. How much interest do you pay on your loan? Show your work. (b) Suppose you pay the loan off after 2 years. How much interest do you save by paying the loan off sooner? Show your work.

Answers

Answer:

a) $25,261

b) $25,156

Step-by-step explanation:

I'm sorry but I don't know how to show my work because I just searched up "Car Loan Calulator" :|

So don't put me up for Brainlist

2. Compare CH3Cl and CCl4. Explain why one is polar and one is nonpolar. Be sure to use
the term symmetry in your explanation.

Answers

Answer:

Step-by-step explanation:

CH3Cl is polar while CCl4 is non polar.

When we consider whether something is polar or not we have to consider the following:

-Molecular symmetry

-Polar bonds (based on Electronegativity)

-Whether or not all the bonds are equal in magnitude

So for CCl4:

-All of the bonds are equal, in that all the electronegativity differences (delta EN) are the same.

-There are polar bonds as the delta EN between Cl (EN = 3.0) and C (EN=2.5) is 0.5 which means the bond is polar covalent

But when we look at the symmetry of the molecule (by drawing the lewis structure) there are no lone pairs, meaning that the molecule is symmetrical and therefore, it is non polar.

For CH3Cl:

-There are polar bonds here whether between C-H or C-Cl like above, both delta EN are greater than or equal to 0.5

-But, all of the bonds are not equal in strength. Cl (3.0) atoms have much higher electronegativity values than H (2.1) and there for they will "pull" the electrons closer and polarize the molecule. Therefore, the differences in bonds causes this molecule to be asymmetrical, and hence polar.

Final answer:

CH3Cl is polar due to an uneven electron distribution and net dipole moment, due to the different atoms attached. In contrast, CCl4 is nonpolar because it's symmetrical with the dipole moments cancelling out.

Explanation:

The compounds CH3Cl and CCl4 vary in their polarities due to their molecular geometry, leading to different symmetries. CH3Cl has a tetrahedral shape but is polar because of the presence of the electronegative Chlorine atom and three Hydrogen atoms, creating an uneven distribution of electrons and thereby, a net dipole moment. On the other hand, CCl4 is also tetrahedral, but it's nonpolar due to its symmetry. As it has four Chlorine atoms evenly distributed around the Carbon atom, the dipole moments cancel out each other leading to no net dipole moment.

Learn more about the Polarity of Molecules here:

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Twice a number is added to the number and the answer is 78. Find the number.

Answers

Answer:

The number which satisfy the given statement is 26 .

Step-by-step explanation:

Given as :

Twice a number is added to the number and the resultant is 78

Let The number is x

Now, According to statement

Two times x + x = 78

Or, 2 × x + x = 78

Or, 3 x = 78

So ,  x= [tex]\frac{78}{3}[/tex]

∴   x = 26

I.e The number is 26

Hence The number which satisfy the given statement is 26 .   Answer

Gail bought 5 pounds of oranges ans 2 pounds of bananas for $14. Her husband later bought 3 pounds of oranges ans 6 pounds of bananas for $18. What was the cost per pounds of the oranges and the bananas?

Answers

Answer:

Step-by-step explanation:

5r + 2b = 14 (5 lbs of oranges and 2 lbs of bananas = $14)

3r + 6b = 18 (3 lbs of oranges and 6 lbs of bananas = $18)

Let's use the elimination method. Multiply the first equation by -3:

-15r - 6b = -42

3r + 6b = 18

-----------------

12r = 24

Divide by 12:

r = 2

Answer:

The price per pound of the oranges is $ 2.

The price per pound of the bananas is $ 2.

Step-by-step explanation:

A system of linear equations is a set of equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all. In these equations the unknowns are related to each other.

In this case a system of equations is applied. For that, you must first define the unknowns (or also called variable):

x: price per pounds of the orange y: price per pounds of the banana

The price of the 5 pounds of oranges, whose price is "x", and 2 pounds of bananas, whose price is "y", bought by Gail must add $ 14. Then expressed in an equation this represents: 5*x+2*y=14 Equation (A)

The price of the 3 pounds of oranges, whose price is "x", and 6 pounds of bananas, whose price is "y", bought by her husband must add $ 18. Then expressed in an equation this represents: 3*x+6*y=18 Equation (B)

Equation A and equation B form the equation system, where the variables are "x" and "y", which are the price of an orange and a banana:

[tex]\left \{ {{5*x+2*y=14} \atop {3*x+6*y=18}} \right.[/tex]

One of the ways to solve a system of equations is through the substitution method.  This method consists of isolating one of the unknowns (for example, "x") and replacing its expression in the other equation. In this way, a first degree equation is obtained with the other variable, "y".

In this case, x is isolated from the first equation, obtaining:

5*x+2*y=14

5*x=14-2*y

[tex]x=\frac{14-2*y}{5}[/tex]

[tex]x=\frac{14}{5} -\frac{2}{5}*y[/tex] Equation (C)

Replacing this equation (C) in the other equation you get:

[tex]3*[\frac{14}{5} -\frac{2}{5} *y]+6*y=18[/tex]

Isolating the value of "y" you get:

[tex]3*\frac{14}{5} -3*\frac{2}{5} *y+6*y=18[/tex]

[tex]\frac{42}{5} -\frac{6}{5} *y+6*y=18[/tex]

[tex]-\frac{6}{5} *y+6*y=18-\frac{42}{5}[/tex]

[tex]\frac{24}{5} *y=\frac{48}{5} \\[/tex]

[tex]y=\frac{\frac{48}{5} }{\frac{24}{5} }[/tex]

[tex]y=\frac{48}{5} *\frac{5}{24} \\[/tex]

y=2

Remembering that "y" is the price per pounds of the banana, then it is possible to say that the price per pound of the banana is $ 2.

Replacing the value of the variable "y" in equation (c) and isolating the value of the variable "x" gives:

[tex]x=\frac{14}{5} -\frac{2}{5}*2[/tex]

[tex]x=\frac{14}{5} -\frac{4}{5}[/tex]

[tex]x=\frac{14-4}{5}=\frac{10}{5}[/tex]

x=2

Remembering that "x" is the price per pounds of the oranges, then it is possible to say that the price per pound of the oranges is $ 2.

6=1 -2n +5 -4n please help get right for Hw struggling hsusns

Answers

Answer:

n=0

Step-by-step explanation:

6=1-2n+5-4n

Combine like terms

6=-6n+6

now move the +6 to other side

0=-6n

so divide to remove the n from the -6

0=n

No worries I tested it it's right! I hope :/

After a big snow storm, Joe and Jim decided to shovel driveways for money. Jim shoveled 3 less than twice as many driveways as Joe. They shoveled a total of 15 driveways. How many driveways did Joe (x) and
Jim (y) each shovel?

Answers

Answer:

Joe shoveled 6, Jill shoveled 9

Step-by-step explanation:

Answer:

Joe: 6

Jim: 9

Step-by-step explanation:

Joe: x

Jim: 2x - 3

x + 2x - 3 = 15

3x - 3 = 15

3x = 18

x = 6

Segment endpoints: (0,0) and (0,20) midpoint

Answers

Answer:

is is 20

Step-by-step explanation:

Rewrite a. an = 19 - 7(n-1)

Answers

Solution for an=19-7(n-1) equation:

Simplifying

an = 19 + -7(n + -1)

Reorder the terms:

an = 19 + -7(-1 + n)

an = 19 + (-1 * -7 + n * -7)

an = 19 + (7 + -7n)

Combine like terms: 19 + 7 = 26

an = 26 + -7n

Solving

an = 26 + -7n

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Divide each side by 'n'.

a = 26n-1 + -7

Simplifying

a = 26n-1 + -7

Reorder the terms:

a = -7 + 26n-1

est
Complete the solution of the equation. Find the
value of y when x equals 0.
-7x + 3y = 30
Enter the correct answer

Answers

Answer:

[tex]y=10[/tex]

Step-by-step explanation:

we know that

The y-intercept is the value of y when the value of x is equal to zero

we have

[tex]-7x+3y=30[/tex]

so

For x=0

substitute the value of x in the linear equation and solve for y

[tex]-7(0)+3y=30[/tex]

[tex]3y=30[/tex]

Divide by 3 both sides

[tex]y=10[/tex]

8. If 6x2 = 54, then x = ?
(1) 29.0 (2) 3.0 (3) 14.5​

Answers

Answer:

3, -3

Step-by-step explanation:

6x^2=54

x^2=54/6

x^2=9

x=sqrt(9)

x=3, -3

What is the value of the expression below? (6¼) x (6¼) x (6¼) x (6¼)

Answers

Answer:

6

Step-by-step explanation:

The expression [tex]6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}[/tex] can be simplified by applying  power properties.Particulary, there is a property known as "power of a product property" that states that, when there is a product of a series of numbers that share the same base "a", [tex]a^n\times{a^m}\times{a^j}[/tex], the result of the multiplications is [tex]a^{m+n+j}[/tex].Then,in this particular case [tex]6^{\frac{1}{4}}\times 6^{\frac{1}{4}}\times6^{\frac{1}{4}}\times6^{\frac{1}{4}}[/tex]  equals [tex]6^{\frac{1}{4} +\frac{1}{4} +\frac{1}{4} +\frac{1}{4} }=6^1=6[/tex]

Review the image and two-column proof below. Which of the following represents a valid reason for statement #2? opposite angles of a parallelogram are equal opposite sides of a parallelogram are equal all three faces are congruent both bases of the prism are congruent

Answers

A valid reason is :opposite sides of a parallelogram are equal

Step-by-step explanation:

It is possible to notice that RUTS is a parallelogram where RU=TS and RS = UT.

When you introduce a diagonal RT you form triangles RUT and TSR.

∠URT = ∠STR ----alternate angles

∠UTR=∠SRT------alternate angles

RU║ST and RS║UT

RT=TR -----Common

ΔRUT ≡ ΔTSR by AAS theorem

hence RS=UT matching sides of congruent triangles

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Answer:

opposite sides of a parallelogram are equal

Step-by-step explanation:

got it right on odyssey

Solve the problem.
If $13,000 is borrowed at 5.8% simple interest for 10 years, how much interest will be paid for the loan?​

Answers

Answer:

Interest =$7540

Step-by-step explanation:

p=$13000

r=5.8%

t=10yrs

i=p*r*t/100

=13000*5.8*10/1000

=130*58

= $7540

14+14p=21 solve for p

Answers

Answer: 0.5

Step-by-step explanation: In this problem, we're asked to solve the following equation for p. Let's first switch 14 and 14p around so we have 14p + 14 = 21.

To solve this equation for p, we must first isolate the term containing p which in this case is 14p.

Since 14 is being added to 14p, we need to subtract 14 from both sides of the equation.

14p + 14 = 21

        -14   -14

On the left side of the equation, the positive 14 and negative 14 cancel each other out and we have 14p. On the right side of the equation, we hav 21 - 14 which gives us 7.

Now we have the equation 14p = 7.

Since p is being multiplied by 14, to get p by itself, we divide both sides of the equation by 14.

On the left side of the equation the 14's cancel and we are left with p. On the right side of the equation, 7 divided by 14 is 0.5 which is our answer.

Therefore, p = 0.5 which is the solution for our equation.

Remember, you can always check your solution by substituting a number in for a variable to make sure the equation is true.

Answer:

A. 1/2

Step-by-step explanation:

Took test got right on edge 2021

Given that point S is equidistant from the sides of triangle WXY, find the following measures.

SU - 5, 12, 13, or 18
M m

Answers

Answer:

Step-by-step explanation:

5, 39, 24 just finished it

Answer:

[tex]SU=5\\\angle WXY = 24\°\\\angle SYW = 39 \°[/tex]

Step-by-step explanation:

According to the graph,

[tex]\angle WXT \cong \angle YXT[/tex]

So, [tex]m\angle YXT =12 \°[/tex]

By sum of angles we have

[tex]\angle WXY = \angle WXT + \angle YXT\\\angle WXY = 12 \° + 12\° = 24 \°\\\therefore \angle WXY 24\°[/tex]

By given, we know that

[tex]\angle UYS \cong \angle SYW\\\therefore \angle SYW = 39 \°[/tex]

By given, we know that side SU is a leg of the right triangle SUX, where the hypotenuse is 13 units, and the opposite angle is 12°. However, if you look closer, you would find that side ST is 5 units, and by GIven we know that ST = SU.

Therefore, SU = 5.

the world future society Predicts that by the year 2020, airplanes will be able to carry 1400 passengers. Today's biggest jets can carry 600 passengers. What will be the percent of increase of airplane passengers?​

Answers

There will be 133.33% increase of airplane passengers.

Step-by-step explanation:

Present value of passengers = 600

Expected value of passengers by 2020 = 1400

Increase = Expected value - present value

Increase = 1400 - 600 = 800

Increase percentage = [tex]\frac{increase}{present\ value}*100\\[/tex]

[tex]Increase\ percentage=\frac{800}{600}*100\\\\Increase\ percentage=\frac{80000}{600}\\Increase\ percentage=133.33\%[/tex]

There will be 133.33% increase of airplane passengers.

Keywords: percentage, division

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The percent of increase in airplane passengers from 600 to 1400 is 133%, calculated using the formula for percentage increase.

To calculate the percent of increase of airplane passengers from 600 to 1400, we need to use the formula for percentage increase, which is: Percentage Increase = ((New Number - Original Number) / Original Number)  imes 100%.

Following the formula:

Subtract the original number of passengers (600) from the new number (1400) to get the increase in passengers: 1400 - 600 = 800.Divide the increase (800) by the original number (600): 800 / 600 = 1.33 (or 133%).Multiply by 100 to get the percent in percentage form, which gives us the percent of increase: 133  imes 100% = 133%.

Therefore, the percent of increase in airplane passengers from 600 to 1400 is 133%.

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Additionally, because his blood pressure is 82/48 mmHg, you suspect neurogenic shock. Which of the following additional assessment findings reinforces your suspicion of neurogenic shock?A. Warm and dry skinB. Heart rate of 144C. Heart rate of 44D. Shallow rapid respirations Draw the intermediate (in the first box) that forms in the reaction of 1-methylcyclopentene with br2 in ccl4, then draw the expected product (in the second box). do not provide stereochemistry. interactive 3d display mode What is the answer for 4y-(5-9y) please answer quick will give brainiest Special-purpose governments that are engaged in both governmental and business-type activities or in more than one governmental activity are required to include all of the following in its financial statements except? A. Required supplementary Information B. Fund basis financial statements C. Government-wide financial statements D. None of the above, these are all required During a football game, a receiver has just caught a pass and is standing still. Before he can move, a tackler, running at a velocity of 4.1 m/s, grabs and holds onto him so that they move off together with a velocity of 2.2 m/s. If the mass of the tackler is 100 kg, determine the mass of the receiver in kilograms. Assume momentum is conserved. At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43. Tori bought two pairs of gloves and two hats for $30. Find the prices of the hats and gloves. Routers: operate at the application layer operate only at the physical layer cannot connect two or more networks that use the same type of cable may also be called TCP/IP gateways operate only at the data link layer. A solenoid 2 cm long consists of 5653 loops of wire. If the magnetic field inside the solenoid is 4 T, what is the magnitude of the current that flows through it? A solenoid 2 cm long consists of 5653 loops of wire. If the magnetic field inside the solenoid is 4 T, what is the magnitude of the current that flows through it? 140 A 9.1102 A 11 A 2.0 A The marginal cost of drilling an oil well depends on the depth at which you are drilling; drilling becomes more expensive, per meter, as you dig deeper into the earth. The xed costs are 1,000,000 riyals (the riyal is the unit of currency of Saudi Arabia), and, if x is the depth in meters, the marginal costs are C' (x) = 4000 + 10x (Riyals/meter).Find the total cost of drilling a 500-meter well. At an accident scene on a level road, investigators measure a car's skid mark to be 98 m long. It was a rainy day and the coefficient of friction was estimated to be 0.40. Use these data to determine the speed of the car when the driver slammed on (and locked) the brakes. A nurse in the antepartum clinic is assessing a client's adaptation to pregnancy. The client states that she is, "happy one minute and crying the next." The nurse should interpret the client's statement as an indication of which of the following?a. The nurse should recognize and interpret the client's statement as an indication of emotional lability.b. Many women experience rapid and unpredictable changes in mood during pregnancy.c. Intense hormonal changes may be responsible for mood changes that occur during pregnancy.d. Tears and anger alternate with feelings of joy or cheerfulness for little or no reason. Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 62 miles per hour. Then, in the second hour, she traveled at a speed of 69 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent. Read the severe weather warning and answer the question. Warning Below freezing temperatures will be accompanied by strong winds. Heavy snowfall is expected to last for several days. What type of severe weather is being described? Blizzard Drought Hurricane Tornado According to the Ohio State studies, the ________ dimension of leader behavior is defined as the extent to which a leader has job relationships characterized by mutual trust and respect for group members' ideas and feelings.A) initiationB) considerationC) culturalD) physical If a company's social media followers exhibit greater purchase frequency than non-followers, this could be a sign that the company's social media efforts are producing good results. Alternately, it may only reflect the fact that_______.A. the indirect effect of social media is more dramatic than the direct effectB. more loyal customers are more likely to follow the company on social mediaC. the social media platform is exaggerating its own performanceD. the company's analytics are not properly installed in what way is informational text usually presented?1. illustrations showing scenes from the story2. facts organized to give details about the topic3. chapters in the order the story happened4. the main character narrates the text